Added new tests for BLAS-like and BLAS API in utest

.gitignore

@@ -46,6 +46,7 @@ config_last.h
 getarch
 getarch_2nd
 utest/openblas_utest
+utest/openblas_utest_ext
 ctest/xccblat1
 ctest/xccblat2
 ctest/xccblat3

utest/CMakeLists.txt

@@ -18,6 +18,69 @@ else ()
   )
 endif ()
 
+
+set(DIR_EXT test_extensions)
+set(OpenBLAS_utest_ext_src
+utest_main.c
+${DIR_EXT}/xerbla.c
+${DIR_EXT}/test_isamin.c 
+${DIR_EXT}/test_idamin.c 
+${DIR_EXT}/test_icamin.c 
+${DIR_EXT}/test_izamin.c 
+${DIR_EXT}/test_ssum.c 
+${DIR_EXT}/test_dsum.c 
+${DIR_EXT}/test_scsum.c 
+${DIR_EXT}/test_dzsum.c
+${DIR_EXT}/test_samin.c
+${DIR_EXT}/test_damin.c
+${DIR_EXT}/test_scamin.c
+${DIR_EXT}/test_dzamin.c
+${DIR_EXT}/test_scamax.c
+${DIR_EXT}/test_dzamax.c
+${DIR_EXT}/test_zrotg.c
+${DIR_EXT}/test_crotg.c
+$(DIR_EXT)/test_drotmg.c
+$(DIR_EXT)/test_srotmg.c
+$(DIR_EXT)/test_zscal.c
+$(DIR_EXT)/test_cscal.c
+$(DIR_EXT)/test_domatcopy.c
+$(DIR_EXT)/test_somatcopy.c
+$(DIR_EXT)/test_zomatcopy.c
+$(DIR_EXT)/test_comatcopy.c
+${DIR_EXT}/test_simatcopy.c
+${DIR_EXT}/test_dimatcopy.c
+${DIR_EXT}/test_cimatcopy.c
+${DIR_EXT}/test_zimatcopy.c
+${DIR_EXT}/test_sgeadd.c
+${DIR_EXT}/test_dgeadd.c
+${DIR_EXT}/test_cgeadd.c
+${DIR_EXT}/test_zgeadd.c
+${DIR_EXT}/test_saxpby.c
+${DIR_EXT}/test_daxpby.c
+${DIR_EXT}/test_caxpby.c
+${DIR_EXT}/test_zaxpby.c
+${DIR_EXT}/test_caxpyc.c
+${DIR_EXT}/test_zaxpyc.c
+$(DIR_EXT)/test_cgemv_t.c
+$(DIR_EXT)/test_zgemv_t.c
+$(DIR_EXT)/test_cgemv_n.c
+$(DIR_EXT)/test_zgemv_n.c
+${DIR_EXT}/test_crot.c
+${DIR_EXT}/test_zrot.c
+${DIR_EXT}/test_cgbmv.c
+${DIR_EXT}/test_zgbmv.c
+${DIR_EXT}/test_dgemmt.c
+${DIR_EXT}/test_sgemmt.c
+${DIR_EXT}/test_cgemmt.c
+${DIR_EXT}/test_zgemmt.c
+${DIR_EXT}/test_ztrmv.c
+${DIR_EXT}/test_ctrmv.c
+$(DIR_EXT)/test_ztrsv.c
+$(DIR_EXT)/test_ctrsv.c
+$(DIR_EXT)/test_zgemm.c
+$(DIR_EXT)/test_cgemm.c
+)
+
 # crashing on travis cl with an error code suggesting resource not found
 if (NOT MSVC)
 set(OpenBLAS_utest_src
@@ -46,6 +109,13 @@ set(OpenBLAS_utest_src
   ${OpenBLAS_utest_src}
   test_potrs.c
   )
+set(OpenBLAS_utest_ext_src
+  ${OpenBLAS_utest_ext_src}
+  ${DIR_EXT}/test_cspmv.c
+  ${DIR_EXT}/test_zspmv.c
+  ${DIR_EXT}/test_csbmv.c
+  ${DIR_EXT}/test_zsbmv.c
+  )
 if (NOT NO_CBLAS AND NOT NO_LAPACKE)
 set(OpenBLAS_utest_src
   ${OpenBLAS_utest_src}
@@ -57,7 +127,11 @@ endif()
 set(OpenBLAS_utest_bin openblas_utest)
 add_executable(${OpenBLAS_utest_bin} ${OpenBLAS_utest_src})
 
+set(OpenBLAS_utest_ext_bin openblas_utest_ext)
+add_executable(${OpenBLAS_utest_ext_bin} ${OpenBLAS_utest_ext_src})
+
 target_link_libraries(${OpenBLAS_utest_bin} ${OpenBLAS_LIBNAME})
+target_link_libraries(${OpenBLAS_utest_ext_bin} ${OpenBLAS_LIBNAME})
 
 if(${CMAKE_SYSTEM_NAME} MATCHES "Linux" OR ${CMAKE_SYSTEM_NAME} MATCHES "FreeBSD" OR ${CMAKE_SYSTEM_NAME} MATCHES "QNX"  )
 target_link_libraries(${OpenBLAS_utest_bin} m)
@@ -82,3 +156,4 @@ add_custom_command(TARGET ${OpenBLAS_utest_bin}
 endif()
 
 add_test(${OpenBLAS_utest_bin} ${CMAKE_CURRENT_BINARY_DIR}/${OpenBLAS_utest_bin})
+add_test(${OpenBLAS_utest_ext_bin} ${CMAKE_CURRENT_BINARY_DIR}/${OpenBLAS_utest_bin})

utest/Makefile

@@ -1,21 +1,38 @@
 UTEST_CHECK = 1
 TOPDIR	= ..
+DIR_EXT=test_extensions
 
 override TARGET_ARCH=
 override TARGET_MACH=
 
 UTESTBIN=openblas_utest
+UTESTEXTBIN=openblas_utest_ext
 
 .PHONY : all
-.NOTPARALLEL : all run_test $(UTESTBIN)
+.NOTPARALLEL : all run_test $(UTESTBIN) $(UTESTEXTBIN)
 
 include $(TOPDIR)/Makefile.system
 
 OBJS=utest_main.o test_min.o test_amax.o test_ismin.o test_rotmg.o test_axpy.o test_dotu.o test_dsdot.o test_swap.o test_rot.o test_dnrm2.o
 #test_rot.o test_swap.o test_axpy.o test_dotu.o test_dsdot.o test_fork.o
+OBJS_EXT=utest_main.o $(DIR_EXT)/xerbla.o $(DIR_EXT)/common.o 
+OBJS_EXT+=$(DIR_EXT)/test_isamin.o $(DIR_EXT)/test_idamin.o $(DIR_EXT)/test_icamin.o $(DIR_EXT)/test_izamin.o 
+OBJS_EXT+=$(DIR_EXT)/test_ssum.o $(DIR_EXT)/test_dsum.o $(DIR_EXT)/test_scsum.o $(DIR_EXT)/test_dzsum.o
+OBJS_EXT+=$(DIR_EXT)/test_saxpby.o $(DIR_EXT)/test_daxpby.o $(DIR_EXT)/test_caxpby.o $(DIR_EXT)/test_zaxpby.o $(DIR_EXT)/test_zaxpyc.o $(DIR_EXT)/test_caxpyc.o
+OBJS_EXT+=$(DIR_EXT)/test_samin.o $(DIR_EXT)/test_damin.o $(DIR_EXT)/test_scamin.o $(DIR_EXT)/test_dzamin.o $(DIR_EXT)/test_scamax.o $(DIR_EXT)/test_dzamax.o
+OBJS_EXT+=$(DIR_EXT)/test_drotmg.o $(DIR_EXT)/test_srotmg.o $(DIR_EXT)/test_zrotg.o $(DIR_EXT)/test_crotg.o $(DIR_EXT)/test_crot.o $(DIR_EXT)/test_zrot.o
+OBJS_EXT+=$(DIR_EXT)/test_zscal.o $(DIR_EXT)/test_cscal.o
+OBJS_EXT+=$(DIR_EXT)/test_domatcopy.o $(DIR_EXT)/test_somatcopy.o $(DIR_EXT)/test_zomatcopy.o $(DIR_EXT)/test_comatcopy.o
+OBJS_EXT+=$(DIR_EXT)/test_simatcopy.o $(DIR_EXT)/test_dimatcopy.o $(DIR_EXT)/test_cimatcopy.o $(DIR_EXT)/test_zimatcopy.o
+OBJS_EXT+=$(DIR_EXT)/test_sgeadd.o $(DIR_EXT)/test_dgeadd.o $(DIR_EXT)/test_cgeadd.o $(DIR_EXT)/test_zgeadd.o
+OBJS_EXT+=$(DIR_EXT)/test_cgemv_t.o $(DIR_EXT)/test_zgemv_t.o $(DIR_EXT)/test_cgemv_n.o $(DIR_EXT)/test_zgemv_n.o
+OBJS_EXT+=$(DIR_EXT)/test_sgemmt.o $(DIR_EXT)/test_dgemmt.o $(DIR_EXT)/test_cgemmt.o $(DIR_EXT)/test_zgemmt.o
+OBJS_EXT+=$(DIR_EXT)/test_ztrmv.o $(DIR_EXT)/test_ctrmv.o $(DIR_EXT)/test_ztrsv.o $(DIR_EXT)/test_ctrsv.o
+OBJS_EXT+=$(DIR_EXT)/test_zgemm.o $(DIR_EXT)/test_cgemm.o $(DIR_EXT)/test_zgbmv.o $(DIR_EXT)/test_cgbmv.o
 
 ifneq ($(NO_LAPACK), 1)
 OBJS += test_potrs.o
+OBJS_EXT += $(DIR_EXT)/test_zspmv.o $(DIR_EXT)/test_cspmv.o $(DIR_EXT)/test_zsbmv.o $(DIR_EXT)/test_csbmv.o
 ifneq ($(NO_CBLAS), 1)
 ifneq ($(NO_LAPACKE), 1)
 OBJS += test_kernel_regress.o
@@ -47,12 +64,17 @@ all : run_test
 $(UTESTBIN): $(OBJS)
 	$(CC) $(CFLAGS) $(LDFLAGS) -o $@ $^ ../$(LIBNAME) $(EXTRALIB) $(FEXTRALIB)
 
-run_test: $(UTESTBIN)
+$(UTESTEXTBIN): $(OBJS_EXT)
+	$(CC) $(CFLAGS) $(LDFLAGS) -o $@ $^ ../$(LIBNAME) $(EXTRALIB) $(FEXTRALIB)
+
+run_test: $(UTESTBIN) $(UTESTEXTBIN)
 ifneq ($(CROSS), 1)
 	./$(UTESTBIN)
+	./$(UTESTEXTBIN)
 endif
 
 clean:
-	-rm -f *.o $(UTESTBIN)
+	-rm -f *.o $(UTESTBIN) $(UTESTEXTBIN)
+	-rm -f $(DIR_EXT)/*.o
 
-libs:
+libs:

utest/test_extensions/common.c

@@ -0,0 +1,259 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "common.h"
+
+/**
+ * Generate random array
+ */
+void srand_generate(float *alpha, blasint n)
+{
+    blasint i;
+    for (i = 0; i < n; i++)
+        alpha[i] = (float)rand() / (float)RAND_MAX * 5.0f;
+}
+
+void drand_generate(double *alpha, blasint n)
+{
+    blasint i;
+    for (i = 0; i < n; i++)
+        alpha[i] = (double)rand() / (double)RAND_MAX * 5.0;
+}
+
+/**
+ * Find difference between two rectangle matrix
+ * return norm of differences
+ */
+float smatrix_difference(float *a, float *b, blasint cols, blasint rows, blasint ld)
+{
+    blasint i = 0;
+    blasint j = 0;
+    blasint inc = 1;
+    float norm = 0.0f;
+
+    float *a_ptr = a;
+    float *b_ptr = b;
+
+    for(i = 0; i < rows; i++)
+    {
+        for (j = 0; j < cols; j++) {
+            a_ptr[j] -= b_ptr[j];
+        }
+        norm += cblas_snrm2(cols, a_ptr, inc);
+        
+        a_ptr += ld;
+        b_ptr += ld;
+    }
+    return norm/(float)(rows);
+}
+
+double dmatrix_difference(double *a, double *b, blasint cols, blasint rows, blasint ld)
+{
+    blasint i = 0;
+    blasint j = 0;
+    blasint inc = 1;
+    double norm = 0.0;
+
+    double *a_ptr = a;
+    double *b_ptr = b;
+
+    for(i = 0; i < rows; i++)
+    {
+        for (j = 0; j < cols; j++) {
+            a_ptr[j] -= b_ptr[j];
+        }
+        norm += cblas_dnrm2(cols, a_ptr, inc);
+        
+        a_ptr += ld;
+        b_ptr += ld;
+    }
+    return norm/(double)(rows);
+}
+
+/**
+ * Complex conjugate operation for vector
+ * 
+ * param n specifies number of elements in vector x
+ * param inc_x specifies increment of vector x
+ * param x_ptr specifies buffer holding vector x
+ */
+void cconjugate_vector(blasint n, blasint inc_x, float *x_ptr)
+{
+    blasint i;
+    inc_x *= 2;
+
+    for (i = 0; i < n; i++)
+    {
+        x_ptr[1] *= (-1.0f);
+        x_ptr +=  inc_x;
+    }
+}
+
+void zconjugate_vector(blasint n, blasint inc_x, double *x_ptr)
+{
+    blasint i;
+    inc_x *= 2;
+
+    for (i = 0; i < n; i++)
+    {
+        x_ptr[1] *= (-1.0);
+        x_ptr +=  inc_x;
+    }
+}
+
+/**
+ * Transpose matrix
+ * 
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param alpha specifies scaling factor for matrix A
+ * param a_src - buffer holding input matrix A
+ * param lda_src - leading dimension of the matrix A
+ * param a_dst - buffer holding output matrix A
+ * param lda_dst - leading dimension of output matrix A
+ */
+void stranspose(blasint rows, blasint cols, float alpha, float *a_src, int lda_src, 
+                float *a_dst, blasint lda_dst)
+{
+    blasint i, j;
+    for (i = 0; i != cols; i++)
+    {
+        for (j = 0; j != rows; j++)
+            a_dst[i*lda_dst+j] = alpha*a_src[j*lda_src+i];
+    }
+}
+
+void dtranspose(blasint rows, blasint cols, double alpha, double *a_src, int lda_src, 
+                double *a_dst, blasint lda_dst)
+{
+    blasint i, j;
+    for (i = 0; i != cols; i++)
+    {
+        for (j = 0; j != rows; j++)
+            a_dst[i*lda_dst+j] = alpha*a_src[j*lda_src+i];
+    }
+}
+
+void ctranspose(blasint rows, blasint cols, float *alpha, float *a_src, int lda_src, 
+                float *a_dst, blasint lda_dst, int conj)
+{
+    blasint i, j;
+    lda_dst *= 2;
+    lda_src *= 2;
+    for (i = 0; i != cols*2; i+=2)
+    {
+        for (j = 0; j != rows*2; j+=2){
+            a_dst[(i/2)*lda_dst+j] = alpha[0] * a_src[(j/2)*lda_src+i] + conj * alpha[1] * a_src[(j/2)*lda_src+i+1];
+            a_dst[(i/2)*lda_dst+j+1] = (-1.0f) * conj * alpha[0] * a_src[(j/2)*lda_src+i+1] + alpha[1] * a_src[(j/2)*lda_src+i];
+        } 
+    }
+}
+
+void ztranspose(blasint rows, blasint cols, double *alpha, double *a_src, int lda_src, 
+                double *a_dst, blasint lda_dst, int conj)
+{
+    blasint i, j;
+    lda_dst *= 2;
+    lda_src *= 2;
+    for (i = 0; i != cols*2; i+=2)
+    {
+        for (j = 0; j != rows*2; j+=2){
+            a_dst[(i/2)*lda_dst+j] = alpha[0] * a_src[(j/2)*lda_src+i] + conj * alpha[1] * a_src[(j/2)*lda_src+i+1];
+            a_dst[(i/2)*lda_dst+j+1] = (-1.0) * conj * alpha[0] * a_src[(j/2)*lda_src+i+1] + alpha[1] * a_src[(j/2)*lda_src+i];
+        } 
+    }
+}
+
+/**
+ * Copy matrix from source A to destination A
+ * 
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param alpha specifies scaling factor for matrix A
+ * param a_src - buffer holding input matrix A
+ * param lda_src - leading dimension of the matrix A
+ * param a_dst - buffer holding output matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * param conj specifies conjugation
+ */
+void scopy(blasint rows, blasint cols, float alpha, float *a_src, int lda_src, 
+           float *a_dst, blasint lda_dst)
+{
+    blasint i, j;
+    for (i = 0; i != rows; i++)
+    {
+        for (j = 0; j != cols; j++)
+            a_dst[i*lda_dst+j] = alpha*a_src[i*lda_src+j];
+    }
+}
+
+void dcopy(blasint rows, blasint cols, double alpha, double *a_src, int lda_src, 
+           double *a_dst, blasint lda_dst)
+{
+    blasint i, j;
+    for (i = 0; i != rows; i++)
+    {
+        for (j = 0; j != cols; j++)
+            a_dst[i*lda_dst+j] = alpha*a_src[i*lda_src+j];
+    }
+}
+
+void ccopy(blasint rows, blasint cols, float *alpha, float *a_src, int lda_src, 
+           float *a_dst, blasint lda_dst, int conj)
+{
+    blasint i, j;
+    lda_dst *= 2;
+    lda_src *= 2;
+    for (i = 0; i != rows; i++)
+    {
+        for (j = 0; j != cols*2; j+=2){
+            a_dst[i*lda_dst+j] = alpha[0] * a_src[i*lda_src+j] + conj * alpha[1] * a_src[i*lda_src+j+1];
+            a_dst[i*lda_dst+j+1] = (-1.0f) * conj *alpha[0] * a_src[i*lda_src+j+1] + alpha[1] * a_src[i*lda_src+j];
+        }
+    }
+}
+
+void zcopy(blasint rows, blasint cols, double *alpha, double *a_src, int lda_src, 
+           double *a_dst, blasint lda_dst, int conj)
+{
+    blasint i, j;
+    lda_dst *= 2;
+    lda_src *= 2;
+    for (i = 0; i != rows; i++)
+    {
+        for (j = 0; j != cols*2; j+=2){
+            a_dst[i*lda_dst+j] = alpha[0] * a_src[i*lda_src+j] + conj * alpha[1] * a_src[i*lda_src+j+1];
+            a_dst[i*lda_dst+j+1] = (-1.0) * conj *alpha[0] * a_src[i*lda_src+j+1] + alpha[1] * a_src[i*lda_src+j];
+        }
+    }
+}

utest/test_extensions/common.h

@@ -0,0 +1,76 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#ifndef _TEST_EXTENSION_COMMON_H_
+#define _TEST_EXTENSION_COMMON_H_
+
+#include <cblas.h>
+#include <ctype.h>
+
+#define TRUE 1
+#define FALSE 0
+#define INVALID -1
+#define SINGLE_TOL 1e-02f
+#define DOUBLE_TOL 1e-10
+
+extern int check_error(void);
+extern void set_xerbla(char* current_rout, int expected_info);
+extern int BLASFUNC(xerbla)(char *name, blasint *info, blasint length);
+
+extern void srand_generate(float *alpha, blasint n);
+extern void drand_generate(double *alpha, blasint n);
+
+extern float smatrix_difference(float *a, float *b, blasint cols, blasint rows, blasint ld);
+extern double dmatrix_difference(double *a, double *b, blasint cols, blasint rows, blasint ld);
+
+extern void cconjugate_vector(blasint n, blasint inc_x, float *x_ptr);
+extern void zconjugate_vector(blasint n, blasint inc_x, double *x_ptr);
+
+extern void stranspose(blasint rows, blasint cols, float alpha, float *a_src, int lda_src, 
+                       float *a_dst, blasint lda_dst);
+extern void dtranspose(blasint rows, blasint cols, double alpha, double *a_src, int lda_src, 
+                double *a_dst, blasint lda_dst);
+extern void ctranspose(blasint rows, blasint cols, float *alpha, float *a_src, int lda_src, 
+                      float *a_dst, blasint lda_dst, int conj);
+extern void ztranspose(blasint rows, blasint cols, double *alpha, double *a_src, int lda_src, 
+                double *a_dst, blasint lda_dst, int conj);
+
+extern void scopy(blasint rows, blasint cols, float alpha, float *a_src, int lda_src, 
+           float *a_dst, blasint lda_dst);
+extern void dcopy(blasint rows, blasint cols, double alpha, double *a_src, int lda_src, 
+           double *a_dst, blasint lda_dst);
+extern void ccopy(blasint rows, blasint cols, float *alpha, float *a_src, int lda_src, 
+           float *a_dst, blasint lda_dst, int conj);
+extern void zcopy(blasint rows, blasint cols, double *alpha, double *a_src, int lda_src, 
+           double *a_dst, blasint lda_dst, int conj);                
+#endif

utest/test_extensions/test_caxpby.c

@@ -0,0 +1,631 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CAXPBY {
+    float x_test[DATASIZE * INCREMENT * 2];
+    float x_verify[DATASIZE * INCREMENT * 2];
+    float y_test[DATASIZE * INCREMENT * 2];
+    float y_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CAXPBY data_caxpby;
+
+/**
+ * Fortran API specific function
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static float check_caxpby(blasint n, float *alpha, blasint incx, float *beta, blasint incy)
+{
+    blasint i;
+
+    // cscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Fill vectors x, y
+    srand_generate(data_caxpby.x_test, n * incx_abs * 2);
+    srand_generate(data_caxpby.y_test, n * incy_abs * 2);
+
+    // Copy vector x for caxpy
+    for (i = 0; i < n * incx_abs * 2; i++)
+        data_caxpby.x_verify[i] = data_caxpby.x_test[i];
+
+    // Copy vector y for cscal
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_caxpby.y_verify[i] = data_caxpby.y_test[i];
+
+    // Find beta*y
+    BLASFUNC(cscal)(&n, beta, data_caxpby.y_verify, &incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    BLASFUNC(caxpy)(&n, alpha, data_caxpby.x_verify, &incx,
+                        data_caxpby.y_verify, &incy);
+    
+    BLASFUNC(caxpby)(&n, alpha, data_caxpby.x_test, &incx,
+                        beta, data_caxpby.y_test, &incy);
+
+    // Find the differences between output vector caculated by caxpby and caxpy
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_caxpby.y_test[i] -= data_caxpby.y_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(scnrm2)(&n, data_caxpby.y_test, &incy_abs);
+}
+
+/**
+ * C API specific function 
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static float c_api_check_caxpby(blasint n, float *alpha, blasint incx, float *beta, blasint incy)
+{
+    blasint i;
+
+    // cscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Fill vectors x, y
+    srand_generate(data_caxpby.x_test, n * incx_abs * 2);
+    srand_generate(data_caxpby.y_test, n * incy_abs * 2);
+
+    // Copy vector x for caxpy
+    for (i = 0; i < n * incx_abs * 2; i++)
+        data_caxpby.x_verify[i] = data_caxpby.x_test[i];
+
+    // Copy vector y for cscal
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_caxpby.y_verify[i] = data_caxpby.y_test[i];
+
+    // Find beta*y
+    cblas_cscal(n, beta, data_caxpby.y_verify, incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    cblas_caxpy(n, alpha, data_caxpby.x_verify, incx,
+                        data_caxpby.y_verify, incy);
+    
+    cblas_caxpby(n, alpha, data_caxpby.x_test, incx,
+                        beta, data_caxpby.y_test, incy);
+
+    // Find the differences between output vector caculated by caxpby and caxpy
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_caxpby.y_test[i] -= data_caxpby.y_verify[i];
+
+    // Find the norm of differences
+    return cblas_scnrm2(n, data_caxpby.y_test, incy_abs);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(caxpby, inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(caxpby, inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    float alpha[] = {2.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(caxpby, inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {2.0f, 1.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(caxpby, inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    float alpha[] = {3.0f, 1.0f};
+    float beta[] = {4.0f, 3.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(caxpby, inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    float alpha[] = {5.0f, 2.2f};
+    float beta[] = {4.0f, 5.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(caxpby, inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {6.0f, 3.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(caxpby, inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    float alpha[] = {7.0f, 2.0f};
+    float beta[] = {3.5f, 1.3f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(caxpby, inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(caxpby, inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(caxpby, inc_x_1_inc_y_1_N_100_a_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(caxpby, inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(caxpby, check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_caxpby(n, alpha, incx, beta, incy);
+    
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(caxpby, c_api_inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(caxpby, c_api_inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    float alpha[] = {2.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(caxpby, c_api_inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {2.0f, 2.1f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(caxpby, c_api_inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    float alpha[] = {3.0f, 2.0f};
+    float beta[] = {4.0f, 3.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(caxpby, c_api_inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    float alpha[] = {5.0f, 2.0f};
+    float beta[] = {4.0f, 3.1f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(caxpby, c_api_inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {6.0f, 2.3f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(caxpby, c_api_inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    float alpha[] = {7.0f, 1.0f};
+    float beta[] = {3.5f, 1.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(caxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(caxpby, c_api_inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(caxpby, c_api_inc_x_1_inc_y_1_N_100_a_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test caxpby by comparing it with cscal and caxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(caxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(caxpby, c_api_check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = c_api_check_caxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_caxpyc.c

@@ -0,0 +1,158 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CAXPYC {
+    float x_test[DATASIZE * INCREMENT * 2];
+    float x_verify[DATASIZE * INCREMENT * 2];
+    float y_test[DATASIZE * INCREMENT * 2];
+    float y_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CAXPYC data_caxpyc;
+
+/**
+ * Test caxpyc by conjugating vector x and comparing with caxpy.
+ * Compare with the following options:
+ *
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static float check_caxpyc(blasint n, float *alpha, blasint incx, blasint incy)
+{
+    blasint i;
+
+    srand_generate(data_caxpyc.x_test, n * incx * 2);
+    srand_generate(data_caxpyc.y_test, n * incy * 2);
+
+    for (i = 0; i < n * incx * 2; i++)
+        data_caxpyc.x_verify[i] = data_caxpyc.x_test[i];
+
+    for (i = 0; i < n * incy * 2; i++)
+        data_caxpyc.y_verify[i] = data_caxpyc.y_test[i];
+
+    cconjugate_vector(n, incx, data_caxpyc.x_verify);
+
+    BLASFUNC(caxpy)(&n, alpha, data_caxpyc.x_verify, &incx,
+                    data_caxpyc.y_verify, &incy);
+
+    BLASFUNC(caxpyc)(&n, alpha, data_caxpyc.x_test, &incx,
+                     data_caxpyc.y_test, &incy);
+
+    for (i = 0; i < n * incy * 2; i++)
+        data_caxpyc.y_verify[i] -= data_caxpyc.y_test[i];
+
+    return BLASFUNC(scnrm2)(&n, data_caxpyc.y_verify, &incy);
+}
+
+/**
+ * Test caxpyc by conjugating vector x and comparing with caxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(caxpyc, conj_strides_one)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha[] = {5.0f, 2.2f};
+
+    float norm = check_caxpyc(n, alpha, incx, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test caxpyc by conjugating vector x and comparing with caxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(caxpyc, conj_incx_one)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha[] = {5.0f, 2.2f};
+
+    float norm = check_caxpyc(n, alpha, incx, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test caxpyc by conjugating vector x and comparing with caxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(caxpyc, conj_incy_one)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    float alpha[] = {5.0f, 2.2f};
+
+    float norm = check_caxpyc(n, alpha, incx, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test caxpyc by conjugating vector x and comparing with caxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(caxpyc, conj_strides_two)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    float alpha[] = {5.0f, 2.2f};
+
+    float norm = check_caxpyc(n, alpha, incx, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_cgbmv.c

@@ -0,0 +1,279 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 1
+
+struct DATA_CGBMV {
+    float a_test[DATASIZE * DATASIZE * 2];
+    float a_band_storage[DATASIZE * DATASIZE * 2];
+    float matrix[DATASIZE * DATASIZE * 2];
+    float b_test[DATASIZE * 2 * INCREMENT];
+    float c_test[DATASIZE * 2 * INCREMENT];
+    float c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CGBMV data_cgbmv;
+
+/** 
+ * Transform full-storage band matrix A to band-packed storage mode.
+ * 
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param kl - number of sub-diagonals of the matrix A
+ * param ku - number of super-diagonals of the matrix A
+ * output param a - buffer for holding band-packed matrix
+ * param lda - specifies the leading dimension of a
+ * param matrix - buffer holding full-storage band matrix A 
+ * param ldm - specifies the leading full-storage band matrix A
+ */
+static void transform_to_band_storage(blasint m, blasint n, blasint kl, 
+                                      blasint ku, float* a, blasint lda,
+                                      float* matrix, blasint ldm)
+{
+    blasint i, j, k;
+    for (j = 0; j < n; j++) 
+    {
+        k = 2 * (ku - j);
+        for (i = MAX(0, 2*(j - ku)); i < MIN(m, j + kl + 1) * 2; i+=2) 
+        {
+            a[(k + i) + j * lda * 2] = matrix[i + j * ldm * 2];
+            a[(k + i) + j * lda * 2 + 1] = matrix[i + j * ldm * 2 + 1];
+        }
+    }
+}
+
+/** 
+ * Generate full-storage band matrix A with kl sub-diagonals and ku super-diagonals
+ * 
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param kl - number of sub-diagonals of the matrix A
+ * param ku - number of super-diagonals of the matrix A
+ * output param band_matrix - buffer for full-storage band matrix.
+ * param matrix - buffer holding input general matrix
+ * param ldm - specifies the leading of input general matrix
+*/
+static void get_band_matrix(blasint m, blasint n, blasint kl, blasint ku, 
+                            float *band_matrix, float *matrix, blasint ldm)
+{
+    blasint i, j;
+    blasint k = 0;
+    for (i = 0; i < n; i++)
+    {
+        for (j = 0; j < m * 2; j += 2)
+        {
+            if ((blasint)(j/2) > kl + i || i > ku + (blasint)(j/2)) 
+            {
+                band_matrix[i * ldm * 2 + j] = 0.0f;
+                band_matrix[i * ldm * 2 + j + 1] = 0.0f;
+                continue;
+            }
+
+            band_matrix[i * ldm * 2 + j] = matrix[k++];
+            band_matrix[i * ldm * 2 + j + 1] = matrix[k++];
+        }
+    }
+}
+
+/**
+ * Comapare results computed by cgbmv and cgemv 
+ * since gbmv is gemv for band matrix
+ * 
+ * param trans specifies op(A), the transposition operation applied to A
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param kl - number of sub-diagonals of the matrix A
+ * param ku - number of super-diagonals of the matrix A
+ * param alpha - scaling factor for the matrix-vector product
+ * param lda - specifies the leading dimension of a
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param inc_c - stride of vector c
+ * return norm of differences 
+ */
+static float check_cgbmv(char trans, blasint m, blasint n, blasint kl, blasint ku,
+    float *alpha, blasint lda, blasint inc_b, float *beta, blasint inc_c)
+{
+    blasint i;
+    blasint lenb, lenc;
+    
+    if(trans == 'T' || trans == 'C' || trans == 'D' || trans == 'U'){
+        lenb = m;
+        lenc = n;
+    } else {
+        lenb = n;
+        lenc = m;
+    }
+    
+    srand_generate(data_cgbmv.matrix, m * n * 2);
+    srand_generate(data_cgbmv.b_test, 2 * (1 + (lenb - 1) * inc_b));
+    srand_generate(data_cgbmv.c_test, 2 * (1 + (lenc - 1) * inc_c));
+
+    for (i = 0; i < 2 * (1 + (lenc - 1) * inc_c); i++)
+        data_cgbmv.c_verify[i] = data_cgbmv.c_test[i];
+
+    get_band_matrix(m, n, kl, ku, data_cgbmv.a_test, data_cgbmv.matrix, m);
+
+    transform_to_band_storage(m, n, kl, ku, data_cgbmv.a_band_storage, lda, data_cgbmv.a_test, m);
+
+    BLASFUNC(cgemv)(&trans, &m, &n, alpha, data_cgbmv.a_test, &m, data_cgbmv.b_test,
+                    &inc_b, beta, data_cgbmv.c_verify, &inc_c);
+
+    BLASFUNC(cgbmv)(&trans, &m, &n, &kl, &ku, alpha, data_cgbmv.a_band_storage, &lda, data_cgbmv.b_test, 
+                    &inc_b, beta, data_cgbmv.c_test, &inc_c);
+
+    for (i = 0; i < 2 * (1 + (lenc - 1) * inc_c); i++)
+        data_cgbmv.c_verify[i] -= data_cgbmv.c_test[i];
+
+    return BLASFUNC(scnrm2)(&lenc, data_cgbmv.c_verify, &inc_c);
+}
+
+/**
+ * Test cgbmv by comparing it against cgemv
+ * with param trans is D
+ */
+CTEST(cgbmv, trans_D)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 11;
+    blasint lda = 50;
+    char trans = 'D';
+
+    float alpha[] = {7.0f, 1.0f};
+    float beta[] = {1.5f, -1.5f};
+
+    float norm = check_cgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgbmv by comparing it against cgemv
+ * with param trans is O
+ */
+CTEST(cgbmv, trans_O)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 10;
+    blasint lda = 50;
+    char trans = 'O';
+
+    float alpha[] = {7.0f, 1.0f};
+    float beta[] = {1.5f, -1.5f};
+
+    float norm = check_cgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgbmv by comparing it against cgemv
+ * with param trans is S
+ */
+CTEST(cgbmv, trans_S)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 6, ku = 9;
+    blasint lda = 50;
+    char trans = 'S';
+
+    float alpha[] = {7.0f, 1.0f};
+    float beta[] = {1.5f, -1.5f};
+
+    float norm = check_cgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgbmv by comparing it against cgemv
+ * with param trans is U
+ */
+CTEST(cgbmv, trans_U)
+{
+    blasint m = 25, n = 50;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 7, ku = 11;
+    blasint lda = kl + ku + 1;
+    char trans = 'U';
+
+    float alpha[] = {7.0f, 1.0f};
+    float beta[] = {1.5f, -1.5f};
+
+    float norm = check_cgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgbmv by comparing it against cgemv
+ * with param trans is C
+ */
+CTEST(cgbmv, trans_C)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 11;
+    blasint lda = 50;
+    char trans = 'C';
+
+    float alpha[] = {7.0f, 1.0f};
+    float beta[] = {1.5f, -1.5f};
+
+    float norm = check_cgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgbmv by comparing it against cgemv
+ * with param trans is R
+ */
+CTEST(cgbmv, trans_R)
+{
+    blasint m = 50, n = 100;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 11;
+    blasint lda = 50;
+    char trans = 'R';
+
+    float alpha[] = {7.0f, 1.0f};
+    float beta[] = {1.5f, -1.5f};
+
+    float norm = check_cgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+#endif

utest/test_extensions/test_cgeadd.c

@@ -0,0 +1,880 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define N 100
+#define M 100
+
+struct DATA_CGEADD {
+    float a_test[M * N * 2];
+    float c_test[M * N * 2];
+    float c_verify[M * N * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CGEADD data_cgeadd;
+
+/**
+ * cgeadd reference implementation
+ *
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param aptr - refer to matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param cptr - refer to matrix C
+ * param ldc - leading dimension of C
+ */
+static void cgeadd_trusted(blasint m, blasint n, float *alpha, float *aptr,
+                           blasint lda, float *beta, float *cptr, blasint ldc)
+{
+    blasint i;
+
+    lda *= 2; 
+	ldc *= 2;
+
+    for (i = 0; i < n; i++)
+    {
+        cblas_caxpby(m, alpha, aptr, 1, beta, cptr, 1);
+        aptr += lda;
+        cptr += ldc;
+    }
+}
+
+/**
+ * Test cgeadd by comparing it against reference
+ * Compare with the following options:
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param ldc - leading dimension of C
+ * return norm of differences
+ */
+static float check_cgeadd(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                          blasint m, blasint n, float *alpha, blasint lda,
+                          float *beta, blasint ldc)
+{
+    blasint i;
+    blasint cols = m, rows = n;
+
+    if (order == CblasRowMajor)
+    {
+        rows = m;
+        cols = n;
+    }
+
+    // Fill matrix A, C
+    srand_generate(data_cgeadd.a_test, lda * rows * 2);
+    srand_generate(data_cgeadd.c_test, ldc * rows * 2);
+
+    // Copy matrix C for cgeadd
+    for (i = 0; i < ldc * rows * 2; i++)
+        data_cgeadd.c_verify[i] = data_cgeadd.c_test[i];
+
+    cgeadd_trusted(cols, rows, alpha, data_cgeadd.a_test, lda,
+                   beta, data_cgeadd.c_verify, ldc);
+
+    if (api == 'F')
+        BLASFUNC(cgeadd)(&m, &n, alpha, data_cgeadd.a_test, &lda,
+                         beta, data_cgeadd.c_test, &ldc);
+    else
+        cblas_cgeadd(order, m, n, alpha, data_cgeadd.a_test, lda,
+                     beta, data_cgeadd.c_test, ldc);
+
+    // Find the differences between output matrix caculated by cgeadd and sgemm
+    return smatrix_difference(data_cgeadd.c_test, data_cgeadd.c_verify, cols, rows, ldc*2);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param lda - leading dimension of A
+ * param ldc - leading dimension of C
+ * param expected_info - expected invalid parameter number in cgeadd
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                         blasint m, blasint n, blasint lda,
+                         blasint ldc, int expected_info)
+{
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    set_xerbla("CGEADD ", expected_info);
+
+    if (api == 'F')
+        BLASFUNC(cgeadd)(&m, &n, alpha, data_cgeadd.a_test, &lda,
+                         beta, data_cgeadd.c_test, &ldc);
+    else 
+        cblas_cgeadd(order, m, n, alpha, data_cgeadd.a_test, lda,
+                 beta, data_cgeadd.c_test, ldc);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(cgeadd, matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {3.0f, 2.0f};
+    float beta[] = {1.0f, 3.0f};
+
+    float norm = check_cgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(cgeadd, matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {2.5f, 1.0f};
+
+    float norm = check_cgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(cgeadd, matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {3.0f, 1.5f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(cgeadd, matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(cgeadd, matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_cgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C
+ * Must be at least zero.
+ */
+CTEST(cgeadd, xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific tests
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ */
+CTEST(cgeadd, xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ */
+CTEST(cgeadd, xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 6;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ */
+CTEST(cgeadd, xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - number of columns of A, C equal zero.
+ */
+CTEST(cgeadd, n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_cgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if m - number of rows of A and C equal zero.
+ */
+CTEST(cgeadd, m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_cgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(cgeadd, c_api_matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {2.0f, 1.0f};
+    float beta[] = {1.0f, 3.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(cgeadd, c_api_matrix_n_100_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {4.0f, 1.5f};
+    float beta[] = {2.0f, 1.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(cgeadd, c_api_matrix_n_50_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N / 2;
+    blasint m = M;
+
+    blasint lda = n;
+    blasint ldc = n;
+
+    float alpha[] = {3.0f, 2.5f};
+    float beta[] = {1.0f, 2.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(cgeadd, c_api_matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(cgeadd, c_api_matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {3.0f, 1.5f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(cgeadd, c_api_matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {0.0f, 0.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cgeadd by comparing it against sgemm
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(cgeadd, c_api_matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha[] = {2.0f, 3.0f};
+    float beta[] = {2.0f, 4.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param order -
+ * specifies whether A and C stored in
+ * row-major order or column-major order
+ */
+CTEST(cgeadd, c_api_xerbla_invalid_order)
+{
+    CBLAS_ORDER order = INVALID;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 0;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(cgeadd, c_api_xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(cgeadd, c_api_xerbla_n_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(cgeadd, c_api_xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(cgeadd, c_api_xerbla_m_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(cgeadd, c_api_xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(cgeadd, c_api_xerbla_lda_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(cgeadd, c_api_xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(cgeadd, c_api_xerbla_ldc_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Check if n - number of columns of A, C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(cgeadd, c_api_n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if m - number of rows of A and C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(cgeadd, c_api_m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_cgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_cgemm.c

@@ -0,0 +1,273 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CGEMM {
+	float a_test[DATASIZE * DATASIZE * 2];
+    float a_verify[DATASIZE * DATASIZE * 2];
+	float b_test[DATASIZE * DATASIZE * 2];
+    float b_verify[DATASIZE * DATASIZE * 2];
+    float c_test[DATASIZE * DATASIZE * 2];
+	float c_verify[DATASIZE * DATASIZE * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CGEMM data_cgemm;
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices
+ * and comparing it with the non-conjugate cgemm.
+ *
+ * param transa specifies op(A), the transposition (conjugation) operation applied to A
+ * param transb specifies op(B), the transposition (conjugation) operation applied to B
+ * param m specifies the number of rows of the matrix op(A) and of the matrix C
+ * param n specifies the number of columns of the matrix op(B) and the number of columns of the matrix C
+ * param k specifies the number of columns of the matrix op(A) and the number of rows of the matrix op(B)
+ * param alpha - scaling factor for the matrix-matrix product
+ * param lda - leading dimension of matrix A
+ * param ldb - leading dimension of matrix B
+ * param beta - scaling factor for matrix C
+ * param ldc - leading dimension of matrix C
+ * return norm of difference
+ */
+static float check_cgemm(char transa, char transb, blasint m, blasint n, blasint k, 
+                         float *alpha, blasint lda, blasint ldb, float *beta, blasint ldc)
+{
+	blasint i;
+	float alpha_conj[] = {1.0f, 0.0f}; 
+	char transa_verify = transa;
+    char transb_verify = transb;
+
+    int arows = k, acols = m;
+    int brows = n, bcols = k;
+
+    if (transa == 'T' || transa == 'C'){
+        arows = m; acols = k;
+    }
+
+    if (transb == 'T' || transb == 'C'){
+        brows = k; bcols = n;
+    }
+
+	srand_generate(data_cgemm.a_test, arows * lda * 2);
+	srand_generate(data_cgemm.b_test, brows * ldb * 2);
+    srand_generate(data_cgemm.c_test, n * ldc * 2);
+
+	for (i = 0; i < arows * lda * 2; i++)
+		data_cgemm.a_verify[i] = data_cgemm.a_test[i];
+
+	for (i = 0; i < brows * ldb * 2; i++)
+		data_cgemm.b_verify[i] = data_cgemm.b_test[i];
+
+    for (i = 0; i < n * ldc * 2; i++)
+		data_cgemm.c_verify[i] = data_cgemm.c_test[i];
+
+	if (transa == 'R'){
+		cblas_cimatcopy(CblasColMajor, CblasConjNoTrans, arows, acols, alpha_conj, data_cgemm.a_verify, lda, lda);
+		transa_verify = 'N';
+	}
+
+    if (transb == 'R'){
+		cblas_cimatcopy(CblasColMajor, CblasConjNoTrans, brows, bcols, alpha_conj, data_cgemm.b_verify, ldb, ldb);
+		transb_verify = 'N';
+	}
+
+	BLASFUNC(cgemm)(&transa_verify, &transb_verify, &m, &n, &k, alpha, data_cgemm.a_verify, &lda,
+	 				data_cgemm.b_verify, &ldb, beta, data_cgemm.c_verify, &ldc);
+
+	BLASFUNC(cgemm)(&transa, &transb, &m, &n, &k, alpha, data_cgemm.a_test, &lda,
+	 				data_cgemm.b_test, &ldb, beta, data_cgemm.c_test, &ldc);
+
+	return smatrix_difference(data_cgemm.c_test, data_cgemm.c_verify, m, n, ldc*2);
+}
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate cgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(cgemm, conjtransa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'C';
+	char transb = 'R';
+	float alpha[] = {-2.0, 1.0f};
+    float beta[] = {1.0f, -1.0f};
+
+	float norm = check_cgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate cgemm.
+ * Test with the following options:
+ *
+ * matrix A is not conjugate and not transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(cgemm, notransa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'N';
+	char transb = 'R';
+	float alpha[] = {-2.0, 1.0f};
+    float beta[] = {1.0f, -1.0f};
+
+	float norm = check_cgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate cgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is conjugate and transposed
+ */
+CTEST(cgemm, conjnotransa_conjtransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'C';
+	float alpha[] = {-2.0, 1.0f};
+    float beta[] = {1.0f, -1.0f};
+
+	float norm = check_cgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate cgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is not conjugate and not transposed
+ */
+CTEST(cgemm, conjnotransa_notransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'N';
+	float alpha[] = {-2.0, 1.0f};
+    float beta[] = {1.0f, -1.0f};
+
+	float norm = check_cgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate cgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(cgemm, conjnotransa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'R';
+	float alpha[] = {-2.0, 1.0f};
+    float beta[] = {1.0f, -1.0f};
+
+	float norm = check_cgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate cgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is transposed
+ */
+CTEST(cgemm, conjnotransa_transb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'T';
+	float alpha[] = {-2.0, 1.0f};
+    float beta[] = {1.0f, -1.0f};
+
+	float norm = check_cgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test cgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate cgemm.
+ * Test with the following options:
+ *
+ * matrix A is transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(cgemm, transa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'T';
+	char transb = 'R';
+	float alpha[] = {-2.0, 1.0f};
+    float beta[] = {1.0f, -1.0f};
+
+	float norm = check_cgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_cgemv_n.c

@@ -0,0 +1,340 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CSPMV_N {
+    float a_test[DATASIZE * DATASIZE * 2];
+    float b_test[DATASIZE * 2 * INCREMENT];
+    float c_test[DATASIZE * 2 * INCREMENT];
+    float c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CSPMV_N data_cgemv_n;
+
+/**
+ * cgemv not transposed reference code
+ *
+ * param trans specifies whether matris A is conj or/and xconj
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param alpha - scaling factor for the matrib-vector product
+ * param a - buffer holding input matrib A
+ * param lda - leading dimension of matrix A
+ * param b - Buffer holding input vector b
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param c - buffer holding input/output vector c
+ * param inc_c - stride of vector c
+ */
+static void cgemv_n_trusted(char trans, blasint m, blasint n, float *alpha, float *a,
+                          blasint lda, float *b, blasint inc_b, float *beta, float *c,
+                          blasint inc_c)
+{
+	blasint i, j;
+    blasint i2 = 0;
+	blasint ib = 0, ic = 0;
+
+    float temp_r, temp_i;
+
+	float *a_ptr = a;
+    blasint lda2 = 2*lda;
+
+	blasint inc_b2 = 2 * inc_b;
+    blasint inc_c2 = 2 * inc_c;
+
+    BLASFUNC(cscal)(&m, beta, c, &inc_c);
+
+	for (j = 0; j < n; j++)
+	{
+
+        if (trans == 'N' || trans == 'R') {
+            temp_r = alpha[0] * b[ib] - alpha[1] * b[ib+1];
+            temp_i = alpha[0] * b[ib+1] + alpha[1] * b[ib];
+        } else {
+            temp_r = alpha[0] * b[ib] + alpha[1] * b[ib+1];
+            temp_i = alpha[0] * b[ib+1] - alpha[1] * b[ib];
+        }
+
+		ic = 0;
+		i2 = 0;
+
+		for (i = 0; i < m; i++)
+		{
+                if (trans == 'N') {
+                    c[ic] += temp_r * a_ptr[i2] - temp_i * a_ptr[i2+1];
+                    c[ic+1] += temp_r * a_ptr[i2+1] + temp_i * a_ptr[i2];
+                } 
+                if (trans == 'O') {
+                    c[ic] += temp_r * a_ptr[i2] + temp_i * a_ptr[i2+1];
+                    c[ic+1] += temp_r * a_ptr[i2+1] - temp_i * a_ptr[i2];
+                }
+                if (trans == 'R') {
+                    c[ic] += temp_r * a_ptr[i2] + temp_i * a_ptr[i2+1];
+                    c[ic+1] -= temp_r * a_ptr[i2+1] - temp_i * a_ptr[i2];
+                }
+                if (trans == 'S') {
+                    c[ic] += temp_r * a_ptr[i2] - temp_i * a_ptr[i2+1];
+                    c[ic+1] -= temp_r * a_ptr[i2+1] + temp_i * a_ptr[i2];
+                }
+			i2 += 2;
+			ic += inc_c2;
+		}
+		a_ptr += lda2;
+		ib += inc_b2;
+	}
+
+}
+
+/**
+ * Comapare results computed by cgemv and cgemv_n_trusted
+ *
+ * param trans specifies whether matris A is conj or/and xconj
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param alpha - scaling factor for the matrib-vector product
+ * param lda - leading dimension of matrix A
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param inc_c - stride of vector c
+ * return norm of differences
+ */
+static float check_cgemv_n(char trans, blasint m, blasint n, float *alpha, blasint lda, 
+                            blasint inc_b, float *beta, blasint inc_c)
+{
+    blasint i;
+
+    srand_generate(data_cgemv_n.a_test, n * lda);
+    srand_generate(data_cgemv_n.b_test, 2 * n * inc_b);
+    srand_generate(data_cgemv_n.c_test, 2 * m * inc_c);
+
+    for (i = 0; i < m * 2 * inc_c; i++)
+        data_cgemv_n.c_verify[i] = data_cgemv_n.c_test[i];
+
+    cgemv_n_trusted(trans, m, n, alpha, data_cgemv_n.a_test, lda, data_cgemv_n.b_test, 
+                  inc_b, beta, data_cgemv_n.c_test, inc_c);
+    BLASFUNC(cgemv)(&trans, &m, &n, alpha, data_cgemv_n.a_test, &lda, data_cgemv_n.b_test, 
+                    &inc_b, beta, data_cgemv_n.c_verify, &inc_c);
+
+    for (i = 0; i < m * 2 * inc_c; i++)
+        data_cgemv_n.c_verify[i] -= data_cgemv_n.c_test[i];
+
+    return BLASFUNC(scnrm2)(&n, data_cgemv_n.c_verify, &inc_c);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cgemv, trans_o_square_matrix)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'O';
+    float alpha[] = {2.0f, -1.0f};
+    float beta[] = {1.4f, 5.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows of A is 50
+ * Number of colums of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cgemv, trans_o_rectangular_matrix_rows_less_then_cols)
+{
+    blasint n = 100, m = 50, lda = 50;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'O';
+    float alpha[] = {2.0f, -1.0f};
+    float beta[] = {1.4f, 5.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows of A is 100
+ * Number of colums of A is 50
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cgemv, trans_o_rectangular_matrix_cols_less_then_rows)
+{
+    blasint n = 50, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'O';
+    float alpha[] = {2.0f, -1.0f};
+    float beta[] = {1.4f, 5.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(cgemv, trans_o_double_strides)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 2, inc_c = 2;
+    char trans = 'O';
+    float alpha[] = {2.0f, -1.0f};
+    float beta[] = {1.4f, 5.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cgemv, trans_s_square_matrix)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'S';
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.4f, 5.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows of A is 50
+ * Number of colums of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cgemv, trans_s_rectangular_matrix_rows_less_then_cols)
+{
+    blasint n = 100, m = 50, lda = 50;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'S';
+    float alpha[] = {2.0f, -1.0f};
+    float beta[] = {1.4f, 5.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows of A is 100
+ * Number of colums of A is 50
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cgemv, trans_s_rectangular_matrix_cols_less_then_rows)
+{
+    blasint n = 50, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'S';
+    float alpha[] = {2.0f, -1.0f};
+    float beta[] = {1.4f, 0.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(cgemv, trans_s_double_strides)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 2, inc_c = 2;
+    char trans = 'S';
+    float alpha[] = {2.0f, -1.0f};
+    float beta[] = {1.0f, 5.0f};
+
+    float norm = check_cgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+#endif

utest/test_extensions/test_cimatcopy.c

@@ -0,0 +1,850 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_CIMATCOPY {
+    float a_test[DATASIZE * DATASIZE * 2];
+    float a_verify[DATASIZE * DATASIZE * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CIMATCOPY data_cimatcopy;
+
+/**
+ * Comapare results computed by cimatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param alpha specifies scaling factor for matrix A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * return norm of difference between openblas and reference func
+ */
+static float check_cimatcopy(char api, char order, char trans, blasint rows, blasint cols, float *alpha, 
+                             blasint lda_src, blasint lda_dst)
+{
+    blasint m, n;
+    blasint rows_out, cols_out;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+    int conj = -1;
+
+    if (order == 'C') {
+        n = rows; m = cols;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        rows_out = n; cols_out = m*2;
+        if (trans == 'C')
+            conj = 1;
+    }
+    else {
+        rows_out = m; cols_out = n*2;
+        if (trans == 'R')
+            conj = 1;
+    }
+
+    srand_generate(data_cimatcopy.a_test, lda_src*m*2);
+
+    if (trans == 'T' || trans == 'C') {
+        ctranspose(m, n, alpha, data_cimatcopy.a_test, lda_src, data_cimatcopy.a_verify, lda_dst, conj);
+    } 
+    else {
+        ccopy(m, n, alpha, data_cimatcopy.a_test, lda_src, data_cimatcopy.a_verify, lda_dst, conj);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(cimatcopy)(&order, &trans, &rows, &cols, alpha, data_cimatcopy.a_test, 
+                            &lda_src, &lda_dst);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_cimatcopy(corder, ctrans, rows, cols, alpha, data_cimatcopy.a_test, 
+                    lda_src, lda_dst);
+    }
+
+    // Find the differences between output matrix computed by cimatcopy and reference func
+    return smatrix_difference(data_cimatcopy.a_test, data_cimatcopy.a_verify, cols_out, rows_out, 2*lda_dst);    
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda_src, blasint lda_dst, int expected_info)
+{
+    float alpha[] = {1.0f, 1.0f};
+
+    set_xerbla("CIMATCOPY", expected_info);
+
+    BLASFUNC(cimatcopy)(&order, &trans, &rows, &cols, alpha, data_cimatcopy.a_test, 
+                        &lda_src, &lda_dst);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha_r = -3.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha[] = {-3.0f, 1.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'R';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, colmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'C';
+    float alpha[] = {2.0f, 1.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, colmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'C';
+    char trans = 'N';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific tests
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, colmajor_conjtrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'C';
+    float alpha[] = {1.0f, 1.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, colmajor_conj_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'C';
+    char trans = 'R';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha_r = 2.0, alpha_i = 3.0
+ */
+CTEST(cimatcopy, rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha[] = {2.0f, 3.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific tests
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'R';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific tests
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'C';
+    float alpha[] = {2.0f, 1.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    float alpha[] = {2.0f, 1.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, rowmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(cimatcopy, rowmajor_conj_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'R';
+    char trans = 'R'; 
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, rowmajor_conjtrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'C';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 3.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, c_api_colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha[] = {3.0f, 2.0f};
+
+    float norm = check_cimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha_r = 3.0, alpha_i = 1.5
+ */
+CTEST(cimatcopy, c_api_colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha[] = {3.0f, 1.5f};
+
+    float norm = check_cimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 3.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, c_api_rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha[] = {3.0f, 1.0f};
+
+    float norm = check_cimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, c_api_colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'R';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, c_api_colmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'C';
+    float alpha[] = {2.0f, 1.0f};
+
+    float norm = check_cimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha_r = 1.0, alpha_i = 1.0
+ */
+CTEST(cimatcopy, c_api_rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha[] = {1.0f, 1.0f};
+
+    float norm = check_cimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(cimatcopy, c_api_rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'R'; 
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(cimatcopy, c_api_rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'C';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_cimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test error function for an invalid param order.
+ * Must be column (C) or row major (R).
+ */
+CTEST(cimatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param trans.
+ * Must be trans (T/C) or no-trans (N/R).
+ */
+CTEST(cimatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param m.
+ * Must be positive.
+ */
+CTEST(cimatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda_src = 0, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param n.
+ * Must be positive.
+ */
+CTEST(cimatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda_src = 100, lda_dst = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using row major layout, 
+ * lda_src must be at least n.
+ */
+CTEST(cimatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using column major layout,
+ * lda_src must be at least m.
+ */
+CTEST(cimatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is no transposition, lda_dst must be at least n.
+ */
+CTEST(cimatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is transposition, lda_dst must be at least m.
+ */
+CTEST(cimatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is no transposition, lda_dst must be at least m.
+ */
+CTEST(cimatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is transposition, lda_dst must be at least n.
+ */
+CTEST(cimatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_comatcopy.c

@@ -0,0 +1,728 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_COMATCOPY {
+    float a_test[DATASIZE * DATASIZE * 2];
+    float b_test[DATASIZE * DATASIZE * 2];
+    float b_verify[DATASIZE * DATASIZE * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_COMATCOPY data_comatcopy;
+
+/**
+ * Comapare results computed by comatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param alpha - scaling factor for matrix B
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * return norm of difference between openblas and reference func
+ */
+static float check_comatcopy(char api, char order, char trans, blasint rows, blasint cols, float* alpha, 
+                             blasint lda, blasint ldb)
+{
+    blasint b_rows, b_cols;
+    blasint m, n;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+    int conj = -1;
+
+    if (order == 'C') {
+        m = cols; n = rows;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        b_rows = n; b_cols = m*2;
+        if (trans == 'C')
+            conj = 1;
+    }
+    else {
+        b_rows = m; b_cols = n*2;
+        if (trans == 'R')
+            conj = 1;
+    }
+
+    srand_generate(data_comatcopy.a_test, lda*m*2);
+
+    if (trans == 'T' || trans == 'C') {
+        ctranspose(m, n, alpha, data_comatcopy.a_test, lda, data_comatcopy.b_verify, ldb, conj);
+    } 
+    else {
+        ccopy(m, n, alpha, data_comatcopy.a_test, lda, data_comatcopy.b_verify, ldb, conj);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(comatcopy)(&order, &trans, &rows, &cols, alpha, data_comatcopy.a_test, 
+                            &lda, data_comatcopy.b_test, &ldb);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_comatcopy(corder, ctrans, rows, cols, alpha, data_comatcopy.a_test, 
+                    lda, data_comatcopy.b_test, ldb);
+    }
+    
+    return smatrix_difference(data_comatcopy.b_test, data_comatcopy.b_verify, b_cols, b_rows, ldb*2);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda, blasint ldb, int expected_info)
+{
+    float alpha[] = {1.0f, 1.0f};
+
+    set_xerbla("COMATCOPY", expected_info);
+
+    BLASFUNC(comatcopy)(&order, &trans, &rows, &cols, alpha, data_comatcopy.a_test, 
+                        &lda, data_comatcopy.b_test, &ldb);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * alpha_r = -1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    float alpha[] = {-1.0f, 2.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'R';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(comatcopy, colmajor_conjtrnas_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'C';
+    float alpha[] = {2.0f, 1.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(comatcopy, rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(comatcopy, rowmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(comatcopy, rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'R'; 
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'C';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_comatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, c_api_colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * alpha_r = -1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, c_api_colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    float alpha[] = {-1.0f, 2.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, c_api_colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'R';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(comatcopy, c_api_colmajor_conjtrnas_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'C';
+    float alpha[] = {2.0f, 1.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(comatcopy, c_api_rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(comatcopy, c_api_rowmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(comatcopy, c_api_rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'R'; 
+    float alpha[] = {1.5f, -1.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test comatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(comatcopy, c_api_rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'C';
+    float alpha[] = {1.0f, 2.0f};
+
+    float norm = check_comatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test error function for an invalid param order.
+ * Must be column (C) or row major (R).
+ */
+CTEST(comatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param trans.
+ * Must be trans (T/C) or no-trans (N/R).
+ */
+CTEST(comatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param m.
+ * Must be positive.
+ */
+CTEST(comatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda = 0, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param n.
+ * Must be positive.
+ */
+CTEST(comatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda = 100, ldb = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda.
+ * If matrices are stored using row major layout, 
+ * lda must be at least n.
+ */
+CTEST(comatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda.
+ * If matrices are stored using column major layout,
+ * lda must be at least m.
+ */
+CTEST(comatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and 
+ * there is no transposition, ldb must be at least n.
+ */
+CTEST(comatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and 
+ * there is transposition, ldb must be at least m.
+ */
+CTEST(comatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and 
+ * there is no transposition, ldb must be at least n.
+ */
+CTEST(comatcopy, xerbla_rowmajor_conj_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'R';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and 
+ * there is transposition, ldb must be at least m.
+ */
+CTEST(comatcopy, xerbla_rowmajor_transconj_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'C';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and 
+ * there is no transposition, ldb must be at least m.
+ */
+CTEST(comatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and 
+ * there is transposition, ldb must be at least n.
+ */
+CTEST(comatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and 
+ * there is no transposition, ldb must be at least m.
+ */
+CTEST(comatcopy, xerbla_colmajor_conj_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'R';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and 
+ * there is transposition, ldb must be at least n.
+ */
+CTEST(comatcopy, xerbla_colmajor_transconj_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'C';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_crot.c

@@ -0,0 +1,792 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CROT {
+    float x_test[DATASIZE * INCREMENT * 2];
+    float y_test[DATASIZE * INCREMENT * 2];
+    float x_verify[DATASIZE * INCREMENT * 2];
+    float y_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CROT data_crot;
+
+/**
+ * Fortran API specific function
+ * Comapare results computed by csrot and caxpby 
+ * 
+ * param n specifies size of vector x
+ * param inc_x specifies increment of vector x
+ * param inc_y specifies increment of vector y
+ * param c specifies cosine
+ * param s specifies sine
+ * return norm of differences 
+ */
+static float check_csrot(blasint n, blasint inc_x, blasint inc_y, float *c, float *s)
+{
+    blasint i;
+    float norm = 0;
+    float s_neg[] = {-s[0], s[1]};
+
+    blasint inc_x_abs = labs(inc_x);
+    blasint inc_y_abs = labs(inc_y);
+
+    // Fill vectors x, y
+    srand_generate(data_crot.x_test, n * inc_x_abs * 2);
+    srand_generate(data_crot.y_test, n * inc_y_abs * 2);
+
+    if (inc_x == 0 && inc_y == 0) {
+        srand_generate(data_crot.x_test, n * 2);
+        srand_generate(data_crot.y_test, n * 2);
+    }
+
+    // Copy vector x for caxpby
+    for (i = 0; i < n * inc_x_abs * 2; i++)
+        data_crot.x_verify[i] = data_crot.x_test[i];
+
+    // Copy vector y for caxpby
+    for (i = 0; i < n * inc_y_abs * 2; i++)
+        data_crot.y_verify[i] = data_crot.y_test[i];
+    
+    // Find cx = c*x + s*y
+    BLASFUNC(caxpby)(&n, s, data_crot.y_test, &inc_y, c, data_crot.x_verify, &inc_x);
+
+    // Find cy = -conjg(s)*x + c*y
+    BLASFUNC(caxpby)(&n, s_neg, data_crot.x_test, &inc_x, c, data_crot.y_verify, &inc_y);
+
+    BLASFUNC(csrot)(&n, data_crot.x_test, &inc_x, data_crot.y_test, &inc_y, c, s);
+
+    // Find the differences between vector x caculated by caxpby and csrot
+    for (i = 0; i < n * 2 * inc_x_abs; i++)
+        data_crot.x_test[i] -= data_crot.x_verify[i];
+
+    // Find the differences between vector y caculated by caxpby and csrot
+    for (i = 0; i < n * 2 * inc_y_abs; i++)
+        data_crot.y_test[i] -= data_crot.y_verify[i];
+
+    // Find the norm of differences
+    norm += BLASFUNC(scnrm2)(&n, data_crot.x_test, &inc_x_abs);
+    norm += BLASFUNC(scnrm2)(&n, data_crot.y_test, &inc_y_abs);
+    return (norm / 2);
+}
+
+/**
+ * C API specific function
+ * Comapare results computed by csrot and caxpby 
+ * 
+ * param n specifies size of vector x
+ * param inc_x specifies increment of vector x
+ * param inc_y specifies increment of vector y
+ * param c specifies cosine
+ * param s specifies sine
+ * return norm of differences 
+ */
+static float c_api_check_csrot(blasint n, blasint inc_x, blasint inc_y, float *c, float *s)
+{
+    blasint i;
+    float norm = 0;
+    float s_neg[] = {-s[0], s[1]};
+
+    blasint inc_x_abs = labs(inc_x);
+    blasint inc_y_abs = labs(inc_y);
+
+    // Fill vectors x, y
+    srand_generate(data_crot.x_test, n * inc_x_abs * 2);
+    srand_generate(data_crot.y_test, n * inc_y_abs * 2);
+
+    if (inc_x == 0 && inc_y == 0) {
+        srand_generate(data_crot.x_test, n * 2);
+        srand_generate(data_crot.y_test, n * 2);
+    }
+
+    // Copy vector x for caxpby
+    for (i = 0; i < n * inc_x_abs * 2; i++)
+        data_crot.x_verify[i] = data_crot.x_test[i];
+
+    // Copy vector y for caxpby
+    for (i = 0; i < n * inc_y_abs * 2; i++)
+        data_crot.y_verify[i] = data_crot.y_test[i];
+    
+    // Find cx = c*x + s*y
+    cblas_caxpby(n, s, data_crot.y_test, inc_y, c, data_crot.x_verify, inc_x);
+
+    // Find cy = -conjg(s)*x + c*y
+    cblas_caxpby(n, s_neg, data_crot.x_test, inc_x, c, data_crot.y_verify, inc_y);
+
+    cblas_csrot(n, data_crot.x_test, inc_x, data_crot.y_test, inc_y, c[0], s[0]);
+
+    // Find the differences between vector x caculated by caxpby and csrot
+    for (i = 0; i < n * 2 * inc_x_abs; i++)
+        data_crot.x_test[i] -= data_crot.x_verify[i];
+
+    // Find the differences between vector y caculated by caxpby and csrot
+    for (i = 0; i < n * 2 * inc_y_abs; i++)
+        data_crot.y_test[i] -= data_crot.y_verify[i];
+
+    // Find the norm of differences
+    norm += cblas_scnrm2(n, data_crot.x_test, inc_x_abs);
+    norm += cblas_scnrm2(n, data_crot.y_test, inc_y_abs);
+    return (norm / 2);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 0
+ * Stride of vector y is 0
+ * c = 1.0f
+ * s = 2.0f
+ */
+CTEST(crot, inc_x_0_inc_y_0)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 0;
+    blasint inc_y = 0;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {2.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, inc_x_1_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is -1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, inc_x_neg_1_inc_y_neg_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -1;
+    blasint inc_y = -1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * c = 3.0f
+ * s = 2.0f
+ */
+CTEST(crot, inc_x_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {3.0f, 0.0f};
+    float s[] = {2.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is 1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, inc_x_neg_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, inc_x_1_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is -2
+ * c = 2.0f
+ * s = 1.0f
+ */
+CTEST(crot, inc_x_1_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = -2;
+
+    // Imaginary  part for caxpby
+    float c[] = {2.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 2.0f
+ */
+CTEST(crot, inc_x_2_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {2.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, inc_x_neg_2_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = -2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 0.0f
+ * s = 1.0f
+ */
+CTEST(crot, inc_x_2_inc_y_2_c_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {0.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 0.0f
+ */
+CTEST(crot, inc_x_2_inc_y_2_s_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {0.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 0
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, check_n_zero)
+{
+    blasint n = 0;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test 
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 0
+ * Stride of vector y is 0
+ * c = 1.0f
+ * s = 2.0f
+ */
+CTEST(crot, c_api_inc_x_0_inc_y_0)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 0;
+    blasint inc_y = 0;
+
+    // Imaginary  part for caxpby
+    float c[] = {3.0f, 0.0f};
+    float s[] = {2.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_inc_x_1_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is -1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_inc_x_neg_1_inc_y_neg_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -1;
+    blasint inc_y = -1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * c = 3.0f
+ * s = 2.0f
+ */
+CTEST(crot, c_api_inc_x_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {3.0f, 0.0f};
+    float s[] = {2.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is 1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_inc_x_neg_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_inc_x_1_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is -2
+ * c = 2.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_inc_x_1_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = -2;
+
+    // Imaginary  part for caxpby
+    float c[] = {2.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 2.0f
+ */
+CTEST(crot, c_api_inc_x_2_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {2.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_inc_x_neg_2_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = -2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 0.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_inc_x_2_inc_y_2_c_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {0.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0f
+ * s = 0.0f
+ */
+CTEST(crot, c_api_inc_x_2_inc_y_2_s_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {0.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crot by comparing it with caxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 0
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0f
+ * s = 1.0f
+ */
+CTEST(crot, c_api_check_n_zero)
+{
+    blasint n = 0;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for caxpby
+    float c[] = {1.0f, 0.0f};
+    float s[] = {1.0f, 0.0f};
+
+    float norm = c_api_check_csrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_crotg.c

@@ -0,0 +1,290 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#ifdef BUILD_COMPLEX
+
+/**
+ * Fortran API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, zero_a)
+{
+    float sa[2] = {0.0f, 0.0f};
+    float sb[2] = {1.0f, 1.0f};
+    float ss[2];
+    float sc;
+    BLASFUNC(crotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.0f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, zero_b)
+{
+    float sa[2] = {1.0f, 1.0f};
+    float sb[2] = {0.0f, 0.0f};
+    float ss[2];
+    float sc;
+    BLASFUNC(crotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(1.0f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, zero_real)
+{
+    float sa[2] = {0.0f, 1.0f};
+    float sb[2] = {0.0f, 1.0f};
+    float ss[2];
+    float sc;
+    BLASFUNC(crotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.7071f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.7071f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.41421f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, positive_real_positive_img)
+{
+    float sa[2] = {3.0f, 4.0f};
+    float sb[2] = {4.0f, 6.0f};
+    float ss[2];
+    float sc;
+    BLASFUNC(crotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, negative_real_positive_img)
+{
+    float sa[2] = {-3.0f, 4.0f};
+    float sb[2] = {-4.0f, 6.0f};
+    float ss[2];
+    float sc;
+    BLASFUNC(crotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, positive_real_negative_img)
+{
+    float sa[2] = {3.0f, -4.0f};
+    float sb[2] = {4.0f, -6.0f};
+    float ss[2];
+    float sc;
+    BLASFUNC(crotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, negative_real_negative_img)
+{
+    float sa[2] = {-3.0f, -4.0f};
+    float sb[2] = {-4.0f, -6.0f};
+    float ss[2];
+    float sc;
+    BLASFUNC(crotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, c_api_zero_a)
+{
+    float sa[2] = {0.0f, 0.0f};
+    float sb[2] = {1.0f, 1.0f};
+    float ss[2];
+    float sc;
+    cblas_crotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.0f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, c_api_zero_b)
+{
+    float sa[2] = {1.0f, 1.0f};
+    float sb[2] = {0.0f, 0.0f};
+    float ss[2];
+    float sc;
+    cblas_crotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(1.0f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, c_api_zero_real)
+{
+    float sa[2] = {0.0f, 1.0f};
+    float sb[2] = {0.0f, 1.0f};
+    float ss[2];
+    float sc;
+    cblas_crotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.7071f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.7071f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.41421f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, c_api_positive_real_positive_img)
+{
+    float sa[2] = {3.0f, 4.0f};
+    float sb[2] = {4.0f, 6.0f};
+    float ss[2];
+    float sc;
+    cblas_crotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, c_api_negative_real_positive_img)
+{
+    float sa[2] = {-3.0f, 4.0f};
+    float sb[2] = {-4.0f, 6.0f};
+    float ss[2];
+    float sc;
+    cblas_crotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, c_api_positive_real_negative_img)
+{
+    float sa[2] = {3.0f, -4.0f};
+    float sb[2] = {4.0f, -6.0f};
+    float ss[2];
+    float sc;
+    cblas_crotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997f, sa[1], SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test crotg by comparing it against pre-calculated values
+ */
+CTEST(crotg, c_api_negative_real_negative_img)
+{
+    float sa[2] = {-3.0f, -4.0f};
+    float sb[2] = {-4.0f, -6.0f};
+    float ss[2];
+    float sc;
+    cblas_crotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.5698f, sc, SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82052f, ss[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558f, ss[1], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26498f, sa[0], SINGLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997f, sa[1], SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_csbmv.c

@@ -0,0 +1,606 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CSBMV {
+    float sp_matrix[DATASIZE * (DATASIZE + 1)];
+    float sb_matrix[DATASIZE * DATASIZE * 2];
+    float b_test[DATASIZE * 2 * INCREMENT];
+    float c_test[DATASIZE * 2 * INCREMENT];
+    float c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+// SINGLE_EPS_ZGEMV = MAX_VAL * NUMBER OF OPERATIONS * FLT_EPSILON
+// SINGLE_EPS_ZGEMV = 5.0 * O(100 * 100) * 1.19e-07 = 5*e-03
+#define SINGLE_EPS_ZGEMV 5e-03
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CSBMV data_csbmv;
+
+/** 
+ * Transform full-storage symmetric band matrix A to upper (U) or lower (L)
+ * band-packed storage mode.
+ * 
+ * param uplo specifies whether matrix a is upper or lower band-packed.
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ * output param a - buffer for holding symmetric band-packed matrix
+ * param lda - specifies the leading dimension of a
+ * param sb_matrix - buffer holding full-storage symmetric band matrix A 
+ * param ldm - specifies the leading dimension of A
+ */
+static void transform_to_band_storage(char uplo, blasint n, blasint k, float* a, blasint lda,
+                                     float* sb_matrix, blasint ldm) 
+{
+    blasint i, j, m;
+    if (uplo == 'L') {
+        for (j = 0; j < n; j++)
+        {
+            m = -j;
+            for (i = 2 * j; i < MIN(2 * n, 2 * (j + k + 1)); i += 2)
+            {
+                a[(2*m + i) + j * lda * 2] = sb_matrix[i + j * ldm * 2];
+                a[(2*m + (i + 1)) + j * lda * 2] = sb_matrix[(i + 1) + j * ldm * 2];
+            }
+        }
+    }
+    else {
+        for (j = 0; j < n; j++)
+        {   
+            m = k - j;
+            for (i = MAX(0, 2*(j - k)); i <= j*2; i += 2)
+            {
+                a[(2*m + i) + j * lda * 2] = sb_matrix[i + j * ldm * 2];
+                a[(2*m + (i + 1)) + j * lda * 2] = sb_matrix[(i + 1) + j * ldm * 2];
+            }
+        }
+    }
+}
+
+/** 
+ * Generate full-storage symmetric band matrix A with k - super-diagonals
+ * from input symmetric packed matrix in lower packed mode (L)
+ * 
+ * output param sb_matrix - buffer for holding full-storage symmetric band matrix.
+ * param sp_matrix - buffer holding input symmetric packed matrix
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ */
+static void get_symmetric_band_matr(float *sb_matrix, float *sp_matrix, blasint n, blasint k)
+{
+    blasint m;
+    blasint i, j;
+    m = 0;
+    for (i = 0; i < n; i++)
+    {
+        for (j = 0; j < n * 2; j += 2)
+        {
+            // Make matrix band with k super-diagonals
+            if (fabs((i+1) - ceil((j+1)/2.0f)) > k) 
+            {
+                sb_matrix[i * n * 2 + j] = 0.0f;
+                sb_matrix[i * n * 2 + j + 1] = 0.0f;
+                continue;
+            }
+
+            if (j / 2 < i)
+            {
+                sb_matrix[i * n * 2 + j] = 
+                        sb_matrix[j * n + i * 2];
+                sb_matrix[i * n * 2 + j + 1] = 
+                        sb_matrix[j * n + i * 2 + 1];
+            }
+            else
+            {
+                sb_matrix[i * n * 2 + j] = sp_matrix[m++];
+                sb_matrix[i * n * 2 + j + 1] = sp_matrix[m++];
+            }
+        }
+    }
+}
+
+/** 
+ * Check if error function was called with expected function name
+ * and param info
+ * 
+ * param uplo specifies whether matrix a is upper or lower band-packed.
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ * param lda - specifies the leading dimension of a
+ * param inc_b - stride of vector b_test
+ * param inc_c - stride of vector c_test
+ * param expected_info - expected invalid parameter number in csbmv
+ * return TRUE if everything is ok, otherwise FALSE 
+ */
+static int check_badargs(char uplo, blasint n, blasint k, blasint lda, blasint inc_b,
+                          blasint inc_c, int expected_info)
+{
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float a[2];
+    srand_generate(a, 2);
+
+    set_xerbla("CSBMV ", expected_info);
+
+    BLASFUNC(csbmv)(&uplo, &n, &k, alpha, a, &lda, data_csbmv.b_test, 
+                    &inc_b, beta, data_csbmv.c_test, &inc_c);
+
+    return check_error();
+}
+
+/**
+ * Comapare results computed by csbmv and cgemv 
+ * since csbmv is cgemv for symmetric band matrix
+ * 
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ * param alpha - scaling factor for the matrix-vector product
+ * param lda - specifies the leading dimension of a
+ * param inc_b - stride of vector b_test
+ * param beta - scaling factor for vector c_test
+ * param inc_c - stride of vector c_test
+ * param lda - specifies the leading dimension of a
+ * return norm of differences 
+ */
+static float check_csbmv(char uplo, blasint n, blasint k, float *alpha, blasint lda, 
+    blasint inc_b, float *beta, blasint inc_c, blasint ldm)
+{
+    blasint i;
+
+    // Trans param for gemv (can use any, since the input matrix is symmetric)
+    char trans = 'N';
+
+    // Symmetric band packed matrix for sbmv
+    float a[lda * n * 2];
+
+    // Fill symmetric packed matrix sp_matrix, vector b_test, vector c_test 
+    srand_generate(data_csbmv.sp_matrix, n * (n + 1));
+    srand_generate(data_csbmv.b_test, n * inc_b * 2);
+    srand_generate(data_csbmv.c_test, n * inc_c * 2);
+
+    // Copy vector c_test for cgemv
+    for (i = 0; i < n * inc_c * 2; i++)
+        data_csbmv.c_verify[i] = data_csbmv.c_test[i];
+
+    // Generate full-storage symmetric band matrix
+    // with k super-diagonals from symmetric packed matrix
+    get_symmetric_band_matr(data_csbmv.sb_matrix, data_csbmv.sp_matrix, n, k);
+
+    // Transform symmetric band matrix from conventional
+    // full matrix storage  to band storage for csbmv
+    transform_to_band_storage(uplo, n, k, a, lda, data_csbmv.sb_matrix, ldm);
+
+    BLASFUNC(cgemv)(&trans, &n, &n, alpha, data_csbmv.sb_matrix, &ldm, data_csbmv.b_test,
+                    &inc_b, beta, data_csbmv.c_verify, &inc_c);
+
+    BLASFUNC(csbmv)(&uplo, &n, &k, alpha, a, &lda,
+                    data_csbmv.b_test, &inc_b, beta, data_csbmv.c_test, &inc_c);
+
+    // Find the differences between output vector caculated by csbmv and cgemv
+    for (i = 0; i < n * inc_c * 2; i++)
+        data_csbmv.c_test[i] -= data_csbmv.c_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(scnrm2)(&n, data_csbmv.c_test, &inc_c);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 0 
+ */
+CTEST(csbmv, upper_k_0_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 1
+ */
+CTEST(csbmv, upper_k_1_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 1;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(csbmv, upper_k_2_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(csbmv, upper_k_2_inc_b_2_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    float alpha[] = {2.0f, 1.0f};
+    float beta[] = {2.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 2
+ * Number of super-diagonals k is 2
+ */
+CTEST(csbmv, upper_k_2_inc_b_2_inc_c_2_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 2;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    float alpha[] = {2.0f, 1.0f};
+    float beta[] = {2.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 0
+ */
+CTEST(csbmv, lower_k_0_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 1
+ */
+CTEST(csbmv, lower_k_1_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 1;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(csbmv, lower_k_2_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(csbmv, lower_k_2_inc_b_2_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    float alpha[] = {2.0f, 1.0f};
+    float beta[] = {2.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test csbmv by comparing it against cgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 2
+ * Number of super-diagonals k is 2
+ */
+CTEST(csbmv, lower_k_2_inc_b_2_inc_c_2_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 2;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    float alpha[] = {2.0f, 1.0f};
+    float beta[] = {2.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/** 
+ * Check if output matrix a contains any NaNs
+ */
+CTEST(csbmv, check_for_NaN)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {1.0f, 1.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+
+    ASSERT_TRUE(norm == norm); /* NaN == NaN is false  */
+}
+
+/**
+ * Test error function for an invalid param uplo.
+ * Uplo specifies whether a is in upper (U) or lower (L) band-packed storage mode.
+ */
+CTEST(csbmv, xerbla_uplo_invalid)
+{
+    blasint n = 1, inc_b = 1, inc_c = 1;
+    char uplo = 'O';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 1;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/** 
+ * Test error function for an invalid param N -
+ * number of rows and columns of A. Must be at least zero.
+ */
+CTEST(csbmv, xerbla_n_invalid)
+{
+    blasint n = INVALID, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 2;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Check if n - number of rows and columns of A equal zero.
+ */
+CTEST(csbmv, check_n_zero)
+{
+    blasint n = 0, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = 1;
+    char uplo = 'U';
+
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_csbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS_ZGEMV);
+}
+
+/**
+ * Test error function for an invalid param inc_b -
+ * stride of vector b_test. Can't be zero. 
+ */
+CTEST(csbmv, xerbla_inc_b_zero)
+{
+    blasint n = 1, inc_b = 0, inc_c = 1;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 8;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param inc_c -
+ * stride of vector c_test. Can't be zero. 
+ */
+CTEST(csbmv, xerbla_inc_c_zero)
+{
+    blasint n = 1, inc_b = 1, inc_c = 0;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 11;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param k -
+ * number of super-diagonals of A. Must be at least zero.
+ */
+CTEST(csbmv, xerbla_k_invalid)
+{
+    blasint n = 1, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    blasint k = INVALID;
+    blasint lda = 1;
+    int expected_info = 3;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of a. Must be at least (k+1).
+ */
+CTEST(csbmv, xerbla_lda_invalid)
+{
+    blasint n = 1, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = INVALID;
+    int expected_info = 6;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_cscal.c

@@ -0,0 +1,164 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CSCAL {
+    float x_test[DATASIZE * 2 * INCREMENT];
+    float x_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CSCAL data_cscal;
+
+/**
+ * cscal reference code
+ *
+ * param n - number of elements of vector x
+ * param alpha - scaling factor for the vector product
+ * param x - buffer holding input vector x
+ * param inc - stride of vector x
+ */
+static void cscal_trusted(blasint n, float *alpha, float* x, blasint inc){
+    blasint i, ip = 0;
+    blasint inc_x2 = 2 * inc;
+    float temp;
+    for (i = 0; i < n; i++)
+	{
+        temp = alpha[0] * x[ip] - alpha[1] * x[ip+1];
+		x[ip+1] = alpha[0] * x[ip+1] + alpha[1] * x[ip];
+        x[ip] = temp;
+        ip += inc_x2;
+    }
+}
+
+/**
+ * Comapare results computed by cscal and cscal_trusted
+ *
+ * param api specifies tested api (C or Fortran)
+ * param n - number of elements of vector x
+ * param alpha - scaling factor for the vector product
+ * param inc - stride of vector x
+ * return norm of differences
+ */
+static float check_cscal(char api, blasint n, float *alpha, blasint inc)
+{
+    blasint i;
+
+    // Fill vectors a 
+    srand_generate(data_cscal.x_test, n * inc * 2);
+
+    // Copy vector x for cscal_trusted
+    for (i = 0; i < n * 2 * inc; i++)
+        data_cscal.x_verify[i] = data_cscal.x_test[i];
+
+    cscal_trusted(n, alpha, data_cscal.x_verify, inc);
+
+    if(api == 'F')
+        BLASFUNC(cscal)(&n, alpha, data_cscal.x_test, &inc);
+    else
+        cblas_cscal(n, alpha, data_cscal.x_test, inc);
+
+    // Find the differences between output vector computed by cscal and cscal_trusted
+    for (i = 0; i < n * 2 * inc; i++)
+        data_cscal.x_verify[i] -= data_cscal.x_test[i];
+
+    // Find the norm of differences
+    return BLASFUNC(scnrm2)(&n, data_cscal.x_verify, &inc);
+}
+
+/**
+ * Fortran API specific test
+ * Test cscal by comparing it against reference
+ */
+CTEST(cscal, alpha_r_zero_alpha_i_not_zero)
+{
+    blasint N = DATASIZE;
+    blasint inc = 1;
+    float alpha[2] = {0.0f, 1.0f};
+
+    float norm = check_cscal('F', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test cscal by comparing it against reference
+ */
+CTEST(cscal, alpha_r_zero_alpha_i_zero_inc_2)
+{
+    blasint N = DATASIZE;
+    blasint inc = 2;
+    float alpha[2] = {0.0f, 0.0f};
+
+    float norm = check_cscal('F', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cscal by comparing it against reference
+ */
+CTEST(cscal, c_api_alpha_r_zero_alpha_i_not_zero)
+{
+    blasint N = DATASIZE;
+    blasint inc = 1;
+    float alpha[2] = {0.0f, 1.0f};
+
+    float norm = check_cscal('C', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test cscal by comparing it against reference
+ */
+CTEST(cscal, c_api_alpha_r_zero_alpha_i_zero_inc_2)
+{
+    blasint N = DATASIZE;
+    blasint inc = 2;
+    float alpha[2] = {0.0f, 0.0f};
+
+    float norm = check_cscal('C', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_cspmv.c

@@ -0,0 +1,428 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_CSPMV {
+    float a_verify[DATASIZE * DATASIZE * 2];
+    float a_test[DATASIZE * (DATASIZE + 1)];
+    float b_test[DATASIZE * 2 * INCREMENT];
+    float c_test[DATASIZE * 2 * INCREMENT];
+    float c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CSPMV data_cspmv;
+
+/**
+ * Compute spmv via gemv since spmv is gemv for symmetric packed matrix
+ *
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param alpha - scaling factor for the matrix-vector product
+ * param a - buffer holding input matrix A
+ * param b - Buffer holding input vector b
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param c - buffer holding input/output vector c
+ * param inc_c - stride of vector c
+ * output param data_cspmv.c_verify - matrix computed by gemv
+ */
+static void cspmv_trusted(char uplo, blasint n, float *alpha, float *a,
+                          float *b, blasint inc_b, float *beta, float *c,
+                          blasint inc_c)
+{
+    blasint k;
+    blasint i, j;
+
+    // param for gemv (can use any, since the input matrix is symmetric)
+    char trans = 'N';
+
+    // Unpack the input symmetric packed matrix
+    if (uplo == 'L')
+    {
+        k = 0;
+        for (i = 0; i < n; i++)
+        {
+            for (j = 0; j < n * 2; j += 2)
+            {
+                if (j / 2 < i)
+                {
+                    data_cspmv.a_verify[i * n * 2 + j] =
+                        data_cspmv.a_verify[j * n + i * 2];
+                    data_cspmv.a_verify[i * n * 2 + j + 1] =
+                        data_cspmv.a_verify[j * n + i * 2 + 1];
+                }
+                else
+                {
+                    data_cspmv.a_verify[i * n * 2 + j] = a[k++];
+                    data_cspmv.a_verify[i * n * 2 + j + 1] = a[k++];
+                }
+            }
+        }
+    }
+    else
+    {
+        k = n * (n + 1) - 1;
+        for (j = 2 * n - 1; j >= 0; j -= 2)
+        {
+            for (i = n - 1; i >= 0; i--)
+            {
+                if (j / 2 < i)
+                {
+                    data_cspmv.a_verify[i * n * 2 + j] =
+                        data_cspmv.a_verify[(j - 1) * n + i * 2 + 1];
+                    data_cspmv.a_verify[i * n * 2 + j - 1] =
+                        data_cspmv.a_verify[(j - 1) * n + i * 2];
+                }
+                else
+                {
+                    data_cspmv.a_verify[i * n * 2 + j] = a[k--];
+                    data_cspmv.a_verify[i * n * 2 + j - 1] = a[k--];
+                }
+            }
+        }
+    }
+
+    // Run gemv with the unpacked matrix
+    BLASFUNC(cgemv)(&trans, &n, &n, alpha, data_cspmv.a_verify, &n, b,
+                    &inc_b, beta, data_cspmv.c_verify, &inc_c);
+}
+
+/**
+ * Comapare results computed by cspmv and cspmv_trusted
+ *
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param alpha - scaling factor for the matrix-vector product
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param inc_c - stride of vector c
+ * return norm of differences
+ */
+static float check_cspmv(char uplo, blasint n, float *alpha, blasint inc_b,
+                         float *beta, blasint inc_c)
+{
+    blasint i;
+
+    // Fill symmetric packed maxtix a, vectors b and c
+    srand_generate(data_cspmv.a_test, n * (n + 1));
+    srand_generate(data_cspmv.b_test, 2 * n * inc_b);
+    srand_generate(data_cspmv.c_test, 2 * n * inc_c);
+
+    // Copy vector c for cspmv_trusted
+    for (i = 0; i < n * 2 * inc_c; i++)
+        data_cspmv.c_verify[i] = data_cspmv.c_test[i];
+
+    cspmv_trusted(uplo, n, alpha, data_cspmv.a_test, data_cspmv.b_test,
+                  inc_b, beta, data_cspmv.c_verify, inc_c);
+
+    BLASFUNC(cspmv)(&uplo, &n, alpha, data_cspmv.a_test, data_cspmv.b_test,
+                    &inc_b, beta, data_cspmv.c_test, &inc_c);
+
+    // Find the differences between output vector computed by cspmv and cspmv_trusted
+    for (i = 0; i < n * 2 * inc_c; i++)
+        data_cspmv.c_test[i] -= data_cspmv.c_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(scnrm2)(&n, data_cspmv.c_test, &inc_c);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param inc_b - stride of vector b
+ * param inc_c - stride of vector c
+ * param expected_info - expected invalid parameter number in cspmv
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char uplo, blasint n, blasint inc_b,
+                         blasint inc_c, int expected_info)
+{
+    float alpha[] = {1.0, 1.0};
+    float beta[] = {0.0, 0.0};
+
+    set_xerbla("CSPMV ", expected_info);
+
+    BLASFUNC(cspmv)(&uplo, &n, alpha, data_cspmv.a_test, data_cspmv.b_test,
+                    &inc_b, beta, data_cspmv.c_test, &inc_c);
+
+    return check_error();
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cspmv, upper_inc_b_1_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 2
+ */
+CTEST(cspmv, upper_inc_b_1_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 2;
+    char uplo = 'U';
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 1
+ */
+CTEST(cspmv, upper_inc_b_2_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 1;
+    char uplo = 'U';
+    float alpha[] = {1.0f, 0.0f};
+    float beta[] = {1.0f, 0.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(cspmv, upper_inc_b_2_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 2;
+    char uplo = 'U';
+    float alpha[] = {2.5, -2.1};
+    float beta[] = {0.0f, 1.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(cspmv, lower_inc_b_1_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'L';
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 2
+ */
+CTEST(cspmv, lower_inc_b_1_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 2;
+    char uplo = 'L';
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 1
+ */
+CTEST(cspmv, lower_inc_b_2_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 1;
+    char uplo = 'L';
+    float alpha[] = {1.0f, 0.0f};
+    float beta[] = {1.0f, 0.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Test cspmv by comparing it against cgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(cspmv, lower_inc_b_2_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 2;
+    char uplo = 'L';
+    float alpha[] = {2.5, -2.1};
+    float beta[] = {0.0f, 1.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_TOL);
+}
+
+/**
+ * Check if output matrix A contains any NaNs
+ */
+CTEST(cspmv, check_for_NaN)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    float alpha[] = {1.0f, 1.0f};
+    float beta[] = {0.0f, 0.0f};
+
+    float norm = check_cspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_TRUE(norm == norm); /* NaN == NaN is false */
+}
+
+/**
+ * Test error function for an invalid param uplo.
+ * uplo specifies whether A is upper or lower triangular.
+ */
+CTEST(cspmv, xerbla_uplo_invalid)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'O';
+    int expected_info = 1;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param N -
+ * number of rows and columns of A. Must be at least zero.
+ */
+CTEST(cspmv, xerbla_N_invalid)
+{
+    blasint N = INVALID, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    int expected_info = 2;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param inc_b -
+ * stride of vector b. Can't be zero.
+ */
+CTEST(cspmv, xerbla_inc_b_zero)
+{
+    blasint N = DATASIZE, inc_b = 0, inc_c = 1;
+    char uplo = 'U';
+    int expected_info = 6;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param inc_c -
+ * stride of vector c. Can't be zero.
+ */
+CTEST(cspmv, xerbla_inc_c_zero)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 0;
+    char uplo = 'U';
+    int expected_info = 9;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_ctrmv.c

@@ -0,0 +1,266 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 300
+#define INCREMENT 2
+
+struct DATA_CTRMV {
+	float a_test[DATASIZE * DATASIZE * 2];
+	float a_verify[DATASIZE * DATASIZE * 2];
+	float x_test[DATASIZE * INCREMENT * 2];
+	float x_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CTRMV data_ctrmv;
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A
+ * and comparing it with the non-conjugate ctrmv.
+ *
+ * param uplo specifies whether A is upper or lower triangular
+ * param trans specifies op(A), the transposition (conjugation) operation applied to A
+ * param diag specifies whether the matrix A is unit triangular or not.
+ * param n - numbers of rows and columns of A
+ * param lda - leading dimension of matrix A
+ * param incx - increment for the elements of x
+ * return norm of difference
+ */
+static float check_ctrmv(char uplo, char trans, char diag, blasint n, blasint lda, blasint incx)
+{
+	blasint i;
+	float alpha_conj[] = {1.0f, 0.0f}; 
+	char trans_verify = trans;
+
+	srand_generate(data_ctrmv.a_test, n * lda * 2);
+	srand_generate(data_ctrmv.x_test, n * incx * 2);
+
+	for (i = 0; i < n * lda * 2; i++)
+		data_ctrmv.a_verify[i] = data_ctrmv.a_test[i];
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ctrmv.x_verify[i] = data_ctrmv.x_test[i];
+
+	if (trans == 'R'){
+		cblas_cimatcopy(CblasColMajor, CblasConjNoTrans, n, n, alpha_conj, data_ctrmv.a_verify, lda, lda);
+		trans_verify = 'N';
+	}
+
+	BLASFUNC(ctrmv)(&uplo, &trans_verify, &diag, &n, data_ctrmv.a_verify, &lda,
+	 				data_ctrmv.x_verify, &incx);
+
+	BLASFUNC(ctrmv)(&uplo, &trans, &diag, &n, data_ctrmv.a_test, &lda,
+	 				data_ctrmv.x_test, &incx);
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ctrmv.x_verify[i] -= data_ctrmv.x_test[i];
+
+	return BLASFUNC(scnrm2)(&n, data_ctrmv.x_verify, &incx);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ctrmv, conj_notrans_upper_not_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ */
+CTEST(ctrmv, conj_notrans_upper_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ctrmv, conj_notrans_lower_not_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ */
+CTEST(ctrmv, conj_notrans_lower_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrmv, conj_notrans_upper_not_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrmv, conj_notrans_upper_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrmv, conj_notrans_lower_not_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test ctrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrmv, conj_notrans_lower_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_ctrsv.c

@@ -0,0 +1,267 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 300
+#define INCREMENT 2
+
+struct DATA_CTRSV {
+	float a_test[DATASIZE * DATASIZE * 2];
+	float a_verify[DATASIZE * DATASIZE * 2];
+	float x_test[DATASIZE * INCREMENT * 2];
+	float x_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX
+static struct DATA_CTRSV data_ctrsv;
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A
+ * and comparing it with the non-conjugate ctrsv.
+ *
+ * param uplo specifies whether A is upper or lower triangular
+ * param trans specifies op(A), the transposition (conjugation) operation applied to A
+ * param diag specifies whether the matrix A is unit triangular or not.
+ * param n - numbers of rows and columns of A
+ * param lda - leading dimension of matrix A
+ * param incx - increment for the elements of x
+ * return norm of difference
+ */
+static float check_ctrsv(char uplo, char trans, char diag, blasint n, blasint lda, blasint incx)
+{
+	blasint i;
+	float alpha_conj[] = {1.0f, 0.0f}; 
+	char trans_verify = trans;
+
+	srand_generate(data_ctrsv.a_test, n * lda * 2);
+	srand_generate(data_ctrsv.x_test, n * incx * 2);
+
+	for (i = 0; i < n * lda * 2; i++)
+		data_ctrsv.a_verify[i] = data_ctrsv.a_test[i];
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ctrsv.x_verify[i] = data_ctrsv.x_test[i];
+
+	if (trans == 'R'){
+		cblas_cimatcopy(CblasColMajor, CblasConjNoTrans, n, n, 
+						alpha_conj, data_ctrsv.a_verify, lda, lda);
+		trans_verify = 'N';
+	}
+
+	BLASFUNC(ctrsv)(&uplo, &trans_verify, &diag, &n, data_ctrsv.a_verify, 
+					&lda, data_ctrsv.x_verify, &incx);
+
+	BLASFUNC(ctrsv)(&uplo, &trans, &diag, &n, data_ctrsv.a_test, &lda,
+	 				data_ctrsv.x_test, &incx);
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ctrsv.x_verify[i] -= data_ctrsv.x_test[i];
+
+	return BLASFUNC(scnrm2)(&n, data_ctrsv.x_verify, &incx);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ctrsv, conj_notrans_upper_not_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ */
+CTEST(ctrsv, conj_notrans_upper_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ctrsv, conj_notrans_lower_not_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ */
+CTEST(ctrsv, conj_notrans_lower_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrsv, conj_notrans_upper_not_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrsv, conj_notrans_upper_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrsv, conj_notrans_lower_not_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ctrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ctrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ctrsv, conj_notrans_lower_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	float norm = check_ctrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0f, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_damin.c

@@ -0,0 +1,354 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 70
+#define INCREMENT 2
+
+#ifdef BUILD_DOUBLE
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.1};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {-1.1};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.1, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {-1.1, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.1, 1.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {-1.1, 1.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.1, 1.0, 2.2};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 3.3};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2, -3.3};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0, 3.3, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0, -3.3, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 3.3, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2, -3.3, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0, 3.3, 0.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0, -3.3, 0.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0;
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0;
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, positive_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 1.0;
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test damin by comparing it against pre-calculated values
+ */
+CTEST(damin, negative_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0;
+   double amin = BLASFUNC(damin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, amin, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_daxpby.c

@@ -0,0 +1,799 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_DAXPBY{
+    double x_test[DATASIZE * INCREMENT];
+    double x_verify[DATASIZE * INCREMENT];
+    double y_test[DATASIZE * INCREMENT];
+    double y_verify[DATASIZE * INCREMENT];
+};
+
+#ifdef BUILD_DOUBLE
+static struct DATA_DAXPBY data_daxpby;
+
+/**
+ * Fortran API specific function
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static double check_daxpby(blasint n, double alpha, blasint incx, double beta, blasint incy)
+{
+    blasint i;
+
+    // dscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Fill vectors x, y
+    drand_generate(data_daxpby.x_test, n * incx_abs);
+    drand_generate(data_daxpby.y_test, n * incy_abs);
+
+    // Copy vector x for daxpy
+    for (i = 0; i < n * incx_abs; i++)
+        data_daxpby.x_verify[i] = data_daxpby.x_test[i];
+
+    // Copy vector y for dscal
+    for (i = 0; i < n * incy_abs; i++)
+        data_daxpby.y_verify[i] = data_daxpby.y_test[i];
+
+    // Find beta*y
+    BLASFUNC(dscal)(&n, &beta, data_daxpby.y_verify, &incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    BLASFUNC(daxpy)(&n, &alpha, data_daxpby.x_verify, &incx,
+                        data_daxpby.y_verify, &incy);
+    
+    BLASFUNC(daxpby)(&n, &alpha, data_daxpby.x_test, &incx,
+                        &beta, data_daxpby.y_test, &incy);
+
+    // Find the differences between output vector caculated by daxpby and daxpy
+    for (i = 0; i < n * incy_abs; i++)
+        data_daxpby.y_test[i] -= data_daxpby.y_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(dnrm2)(&n, data_daxpby.y_test, &incy_abs);
+}
+
+/**
+ * C API specific function
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static double c_api_check_daxpby(blasint n, double alpha, blasint incx, double beta, blasint incy)
+{
+    blasint i;
+
+    // dscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Copy vector x for daxpy
+    for (i = 0; i < n * incx_abs; i++)
+        data_daxpby.x_verify[i] = data_daxpby.x_test[i];
+
+    // Copy vector y for dscal
+    for (i = 0; i < n * incy_abs; i++)
+        data_daxpby.y_verify[i] = data_daxpby.y_test[i];
+
+    // Find beta*y
+    cblas_dscal(n, beta, data_daxpby.y_verify, incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    cblas_daxpy(n, alpha, data_daxpby.x_verify, incx,
+                        data_daxpby.y_verify, incy);
+    
+    cblas_daxpby(n, alpha, data_daxpby.x_test, incx,
+                        beta, data_daxpby.y_test, incy);
+
+    // Find the differences between output vector caculated by daxpby and daxpy
+    for (i = 0; i < n * incy_abs; i++)
+        data_daxpby.y_test[i] -= data_daxpby.y_verify[i];
+
+    // Find the norm of differences
+    return cblas_dnrm2(n, data_daxpby.y_test, incy_abs);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(daxpby, inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(daxpby, inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    double alpha = 2.0;
+    double beta = 1.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(daxpby, inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 1.0;
+    double beta = 2.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(daxpby, inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    double alpha = 3.0;
+    double beta = 4.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(daxpby, inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    double alpha = 5.0;
+    double beta = 4.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(daxpby, inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    double alpha = 1.0;
+    double beta = 6.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(daxpby, inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    double alpha = 7.0;
+    double beta = 3.5;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(daxpby, inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 0.0;
+    double beta = 1.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+*/
+CTEST(daxpby, inc_x_1_inc_y_2_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 0.0;
+    double beta = 1.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(daxpby, inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * Scalar beta is zero
+*/
+CTEST(daxpby, inc_x_2_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(daxpby, inc_x_1_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(daxpby, inc_x_2_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(daxpby, inc_x_1_inc_y_1_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 0.0;
+    double beta = 0.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(daxpby, inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 0.0;
+    double beta = 0.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(daxpby, check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = check_daxpby(n, alpha, incx, beta, incy);
+    
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(daxpby, c_api_inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    double alpha = 2.0;
+    double beta = 1.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 1.0;
+    double beta = 2.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(daxpby, c_api_inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    double alpha = 3.0;
+    double beta = 4.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(daxpby, c_api_inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    double alpha = 5.0;
+    double beta = 4.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(daxpby, c_api_inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    double alpha = 1.0;
+    double beta = 6.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(daxpby, c_api_inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    double alpha = 7.0;
+    double beta = 3.5;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 0.0;
+    double beta = 1.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+*/
+CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 0.0;
+    double beta = 1.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * 
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * Scalar beta is zero
+*/
+CTEST(daxpby, c_api_inc_x_2_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * 
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * 
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(daxpby, c_api_inc_x_2_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    double alpha = 1.0;
+    double beta = 0.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * 
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha = 0.0;
+    double beta = 0.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test daxpby by comparing it with dscal and daxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha = 0.0;
+    double beta = 0.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(daxpby, c_api_check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_dgeadd.c

@@ -0,0 +1,878 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define N 100
+#define M 100
+
+struct DATA_DGEADD{
+    double a_test[M * N];
+    double c_test[M * N];
+    double c_verify[M * N];
+};
+
+#ifdef BUILD_DOUBLE
+static struct DATA_DGEADD data_dgeadd;
+
+/**
+ * dgeadd reference implementation
+ *
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param aptr - refer to matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param cptr - refer to matrix C
+ * param ldc - leading dimension of C
+ */
+static void dgeadd_trusted(blasint m, blasint n, double alpha, double *aptr,
+                           blasint lda, double beta, double *cptr, blasint ldc)
+{
+    blasint i;
+
+    for (i = 0; i < n; i++)
+    {
+        cblas_daxpby(m, alpha, aptr, 1, beta, cptr, 1);
+        aptr += lda;
+        cptr += ldc;
+    }
+}
+
+/**
+ * Test dgeadd by comparing it against reference
+ * Compare with the following options:
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param ldc - leading dimension of C
+ * return norm of differences
+ */
+static double check_dgeadd(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                          blasint m, blasint n, double alpha, blasint lda,
+                          double beta, blasint ldc)
+{
+    blasint i;
+    blasint cols = m, rows = n;
+
+    if (order == CblasRowMajor)
+    {
+        rows = m;
+        cols = n;
+    }
+
+    // Fill matrix A, C
+    drand_generate(data_dgeadd.a_test, lda * rows);
+    drand_generate(data_dgeadd.c_test, ldc * rows);
+
+    // Copy matrix C for dgeadd
+    for (i = 0; i < ldc * rows; i++)
+        data_dgeadd.c_verify[i] = data_dgeadd.c_test[i];
+
+    dgeadd_trusted(cols, rows, alpha, data_dgeadd.a_test, lda,
+                   beta, data_dgeadd.c_verify, ldc);
+
+    if (api == 'F')
+        BLASFUNC(dgeadd)(&m, &n, &alpha, data_dgeadd.a_test, &lda,
+         &beta, data_dgeadd.c_test, &ldc);
+    else
+        cblas_dgeadd(order, m, n, alpha, data_dgeadd.a_test, lda,
+                     beta, data_dgeadd.c_test, ldc);
+
+    // Find the differences between output matrix caculated by dgeadd and sgemm
+    return dmatrix_difference(data_dgeadd.c_test, data_dgeadd.c_verify, cols, rows, ldc);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param lda - leading dimension of A
+ * param ldc - leading dimension of C
+ * param expected_info - expected invalid parameter number in dgeadd
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                         blasint m, blasint n, blasint lda,
+                         blasint ldc, int expected_info)
+{
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    set_xerbla("DGEADD ", expected_info);
+
+    if (api == 'F')
+        BLASFUNC(dgeadd)(&m, &n, &alpha, data_dgeadd.a_test, &lda,
+                         &beta, data_dgeadd.c_test, &ldc);
+    else 
+        cblas_dgeadd(order, m, n, alpha, data_dgeadd.a_test, lda,
+                 beta, data_dgeadd.c_test, ldc);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(dgeadd, matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 3.0;
+    double beta = 3.0;
+
+    double norm = check_dgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(dgeadd, matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 0.0;
+    double beta = 2.5;
+
+    double norm = check_dgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(dgeadd, matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 3.0;
+    double beta = 0.0;
+
+    double norm = check_dgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(dgeadd, matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 0.0;
+    double beta = 0.0;
+
+    double norm = check_dgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(dgeadd, matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = check_dgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C
+ * Must be at least zero.
+ */
+CTEST(dgeadd, xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ */
+CTEST(dgeadd, xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ */
+CTEST(dgeadd, xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 6;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ */
+CTEST(dgeadd, xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - number of columns of A, C equal zero.
+ */
+CTEST(dgeadd, n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = check_dgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if m - number of rows of A and C equal zero.
+ */
+CTEST(dgeadd, m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = check_dgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(dgeadd, c_api_matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 2.0;
+    double beta = 3.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(dgeadd, c_api_matrix_n_100_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 4.0;
+    double beta = 2.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(dgeadd, c_api_matrix_n_50_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N / 2;
+    blasint m = M;
+
+    blasint lda = n;
+    blasint ldc = n;
+
+    double alpha = 3.0;
+    double beta = 1.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(dgeadd, c_api_matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 0.0;
+    double beta = 1.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(dgeadd, c_api_matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 3.0;
+    double beta = 0.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(dgeadd, c_api_matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 0.0;
+    double beta = 0.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(dgeadd, c_api_matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha = 3.0;
+    double beta = 4.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param order -
+ * specifies whether A and C stored in
+ * row-major order or column-major order
+ */
+CTEST(dgeadd, c_api_xerbla_invalid_order)
+{
+    CBLAS_ORDER order = INVALID;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 0;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(dgeadd, c_api_xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(dgeadd, c_api_xerbla_n_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(dgeadd, c_api_xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(dgeadd, c_api_xerbla_m_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(dgeadd, c_api_xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(dgeadd, c_api_xerbla_lda_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(dgeadd, c_api_xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(dgeadd, c_api_xerbla_ldc_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Check if n - number of columns of A, C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(dgeadd, c_api_n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if m - number of rows of A and C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(dgeadd, c_api_m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha = 1.0;
+    double beta = 1.0;
+
+    double norm = check_dgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_dimatcopy.c

@@ -0,0 +1,947 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_DIMATCOPY {
+    double a_test[DATASIZE* DATASIZE];
+    double a_verify[DATASIZE* DATASIZE];
+};
+
+#ifdef BUILD_DOUBLE
+static struct DATA_DIMATCOPY data_dimatcopy;
+
+/**
+ * Comapare results computed by dimatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param alpha specifies scaling factor for matrix A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * return norm of difference between openblas and reference func
+ */
+static double check_dimatcopy(char api, char order, char trans, blasint rows, blasint cols, double alpha, 
+                             blasint lda_src, blasint lda_dst)
+{
+    blasint m, n;
+    blasint rows_out, cols_out;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+
+    if (order == 'C') {
+        n = rows; m = cols;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        rows_out = n; cols_out = m;
+    }
+    else {
+        rows_out = m; cols_out = n;
+    }
+
+    drand_generate(data_dimatcopy.a_test, lda_src*m);
+
+    if (trans == 'T' || trans == 'C') {
+        dtranspose(m, n, alpha, data_dimatcopy.a_test, lda_src, data_dimatcopy.a_verify, lda_dst);
+    } 
+    else {
+        dcopy(m, n, alpha, data_dimatcopy.a_test, lda_src, data_dimatcopy.a_verify, lda_dst);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(dimatcopy)(&order, &trans, &rows, &cols, &alpha, data_dimatcopy.a_test, 
+                            &lda_src, &lda_dst);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_dimatcopy(corder, ctrans, rows, cols, alpha, data_dimatcopy.a_test, 
+                    lda_src, lda_dst);
+    }
+
+    // Find the differences between output matrix computed by dimatcopy and reference func
+    return dmatrix_difference(data_dimatcopy.a_test, data_dimatcopy.a_verify, cols_out, rows_out, lda_dst);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda_src, blasint lda_dst, int expected_info)
+{
+    double alpha = 1.0;
+
+    set_xerbla("DIMATCOPY", expected_info);
+
+    BLASFUNC(dimatcopy)(&order, &trans, &rows, &cols, &alpha, data_dimatcopy.a_test, 
+                        &lda_src, &lda_dst);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, colmajor_trans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, colmajor_notrans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, colmajor_trans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, colmajor_notrans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, colmajor_trans_col_50_row_100_alpha_one)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, colmajor_notrans_col_50_row_100_alpha_one)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, colmajor_trans_col_50_row_100_alpha_zero)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, colmajor_notrans_col_50_row_100_alpha_zero)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, rowmajor_trans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, rowmajor_notrans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, rowmajor_trans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, rowmajor_notrans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, rowmajor_trans_col_100_row_50_alpha_one)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 1.0
+ */
+CTEST(dimatcopy, rowmajor_notrans_col_100_row_50_alpha_one)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, rowmajor_trans_col_100_row_50_alpha_zero)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(dimatcopy, rowmajor_notrans_col_100_row_50_alpha_zero)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 0.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, rowmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, rowmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, c_api_colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, c_api_colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, c_api_rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0
+ */
+CTEST(dimatcopy, c_api_rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 2.0;
+
+    double norm = check_dimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test error function for an invalid param order.
+ * Must be column (C) or row major (R).
+ */
+CTEST(dimatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param trans.
+ * Must be trans (T/C) or no-trans (N/R).
+ */
+CTEST(dimatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param m.
+ * Must be positive.
+ */
+CTEST(dimatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda_src = 0, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param n.
+ * Must be positive.
+ */
+CTEST(dimatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda_src = 100, lda_dst = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using row major layout, 
+ * lda_src must be at least n.
+ */
+CTEST(dimatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using column major layout,
+ * lda_src must be at least m.
+ */
+CTEST(dimatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is no transposition, lda_dst must be at least n.
+ */
+CTEST(dimatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is transposition, lda_dst must be at least m.
+ */
+CTEST(dimatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is no transposition, lda_dst must be at least m.
+ */
+CTEST(dimatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is transposition, lda_dst must be at least n.
+ */
+CTEST(dimatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_domatcopy.c

@@ -0,0 +1,672 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_DOMATCOPY {
+    double a_test[DATASIZE * DATASIZE];
+    double b_test[DATASIZE * DATASIZE];
+    double b_verify[DATASIZE * DATASIZE];
+};
+
+#ifdef BUILD_DOUBLE
+static struct DATA_DOMATCOPY data_domatcopy;
+
+/**
+ * Comapare results computed by domatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param alpha - scaling factor for matrix B
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * return norm of difference between openblas and reference func
+ */
+static double check_domatcopy(char api, char order, char trans, blasint rows, blasint cols, double alpha, 
+                             blasint lda, blasint ldb)
+{
+    blasint b_rows, b_cols;
+    blasint m, n;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+
+    if (order == 'C') {
+        m = cols; n = rows;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        b_rows = n; b_cols = m;
+    }
+    else {
+        b_rows = m; b_cols = n;
+    }
+
+    drand_generate(data_domatcopy.a_test, lda*m);
+
+    if (trans == 'T' || trans == 'C') {
+        dtranspose(m, n, alpha, data_domatcopy.a_test, lda, data_domatcopy.b_verify, ldb);
+    } 
+    else {
+        dcopy(m, n, alpha, data_domatcopy.a_test, lda, data_domatcopy.b_verify, ldb);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(domatcopy)(&order, &trans, &rows, &cols, &alpha, data_domatcopy.a_test, 
+                            &lda, data_domatcopy.b_test, &ldb);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_domatcopy(corder, ctrans, rows, cols, alpha, data_domatcopy.a_test, 
+                    lda, data_domatcopy.b_test, ldb);
+    }
+    
+    return dmatrix_difference(data_domatcopy.b_test, data_domatcopy.b_verify, b_cols, b_rows, ldb);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda, blasint ldb, int expected_info)
+{
+    double alpha = 1.0;
+
+    set_xerbla("DOMATCOPY", expected_info);
+
+    BLASFUNC(domatcopy)(&order, &trans, &rows, &cols, &alpha, data_domatcopy.a_test, 
+                        &lda, data_domatcopy.b_test, &ldb);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(domatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 2.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific tests
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(domatcopy, colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 2.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(domatcopy, colmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 0.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(domatcopy, colmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 50;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 0.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(domatcopy, rowmajor_conjtrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    double alpha = 2.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(domatcopy, rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    double alpha = 2.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Matrix dimensions leave residues from 4 and 2 (specialize
+ * for rt case)
+ * alpha = 1.5
+ */
+CTEST(domatcopy, rowmajor_trans_col_27_row_27)
+{
+    blasint m = 27, n = 27;
+    blasint lda = 27, ldb = 27;
+    char order = 'R';
+    char trans = 'T'; 
+    double alpha = 1.5;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(domatcopy, rowmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'N'; 
+    double alpha = 0.0;
+
+    double norm = check_domatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, c_api_colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, c_api_colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, c_api_rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test domatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(domatcopy, c_api_rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha = 1.0;
+
+    double norm = check_domatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test error function for an invalid param order.
+ * Must be column (C) or row major (R).
+ */
+CTEST(domatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param trans.
+ * Must be trans (T/C) or no-trans (N/R).
+ */
+CTEST(domatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param m.
+ * Must be positive.
+ */
+CTEST(domatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda = 0, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param n.
+ * Must be positive.
+ */
+CTEST(domatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda = 100, ldb = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda.
+ * If matrices are stored using row major layout,
+ * lda must be at least n.
+ */
+CTEST(domatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda.
+ * If matrices are stored using column major layout,
+ * lda must be at least m.
+ */
+CTEST(domatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and
+ * there is no transposition, ldb must be at least n.
+ */
+CTEST(domatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and
+ * there is transposition, ldb must be at least m.
+ */
+CTEST(domatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and
+ * there is no transposition, ldb must be at least m.
+ */
+CTEST(domatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and
+ * there is transposition, ldb must be at least n.
+ */
+CTEST(domatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_drotmg.c

@@ -0,0 +1,414 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#ifdef BUILD_DOUBLE
+
+/**
+ * Fortran API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, y1_zero)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0;
+	te_d2 = tr_d2 = 2.0;
+	te_x1 = tr_x1 = 8.0;
+	te_y1 = tr_y1 = 0.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0;
+	tr_d2 = 2.0;
+	tr_x1 = 8.0;
+	tr_y1 = 0.0;
+
+	tr_param[0] = -2.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+
+/**
+ * Fortran API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, d1_negative)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = -1.0;
+	te_d2 = tr_d2 = 2.0;
+	te_x1 = tr_x1 = 8.0;
+	te_y1 = tr_y1 = 8.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0;
+	tr_d2 = 0.0;
+	tr_x1 = 0.0;
+	tr_y1 = 8.0;
+
+	tr_param[0] = -1.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+
+/**
+ * Fortran API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, d1_positive_d2_positive_x1_zero)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0;
+	te_d2 = tr_d2 = 2.0;
+	te_x1 = tr_x1 = 0.0;
+	te_y1 = tr_y1 = 8.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0;
+	tr_d2 = 2.0;
+	tr_x1 = 8.0;
+	tr_y1 = 8.0;
+
+	tr_param[0] = 1.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+
+/**
+ * Fortran API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, scaled_y_greater_than_scaled_x)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 1.0;
+	te_d2 = tr_d2 = -2.0;
+	te_x1 = tr_x1 = 8.0;
+	te_y1 = tr_y1 = 8.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0;
+	tr_d2 = 0.0;
+	tr_x1 = 0.0;
+	tr_y1 = 8.0;
+
+	tr_param[0] = -1.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, c_api_y1_zero)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0;
+	te_d2 = tr_d2 = 2.0;
+	te_x1 = tr_x1 = 8.0;
+	te_y1 = tr_y1 = 0.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0;
+	tr_d2 = 2.0;
+	tr_x1 = 8.0;
+	tr_y1 = 0.0;
+
+	tr_param[0] = -2.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	cblas_drotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, c_api_d1_negative)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = -1.0;
+	te_d2 = tr_d2 = 2.0;
+	te_x1 = tr_x1 = 8.0;
+	te_y1 = tr_y1 = 8.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0;
+	tr_d2 = 0.0;
+	tr_x1 = 0.0;
+	tr_y1 = 8.0;
+
+	tr_param[0] = -1.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	cblas_drotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, c_api_d1_positive_d2_positive_x1_zero)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0;
+	te_d2 = tr_d2 = 2.0;
+	te_x1 = tr_x1 = 0.0;
+	te_y1 = tr_y1 = 8.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0;
+	tr_d2 = 2.0;
+	tr_x1 = 8.0;
+	tr_y1 = 8.0;
+
+	tr_param[0] = 1.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	cblas_drotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test drotmg by comparing it against pre-calculated values
+ */
+CTEST(drotmg, c_api_scaled_y_greater_than_scaled_x)
+{
+	double te_d1, tr_d1;
+	double te_d2, tr_d2;
+	double te_x1, tr_x1;
+	double te_y1, tr_y1;
+	double te_param[5];
+	double tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 1.0;
+	te_d2 = tr_d2 = -2.0;
+	te_x1 = tr_x1 = 8.0;
+	te_y1 = tr_y1 = 8.0;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0;
+	tr_d2 = 0.0;
+	tr_x1 = 0.0;
+	tr_y1 = 8.0;
+
+	tr_param[0] = -1.0;
+	tr_param[1] = 0.0;
+	tr_param[2] = 0.0;
+	tr_param[3] = 0.0;
+	tr_param[4] = 0.0;
+
+	//OpenBLAS
+	cblas_drotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
+	}
+}
+#endif

utest/test_extensions/test_dsum.c

@@ -0,0 +1,403 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_DOUBLE
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.1};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.1, 0.0};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.1, -1.0};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.1, -1.5, 1.0, 1.0};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.1, 1.0, 2.2};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.3, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.1, 0.0, -1.0, -3.0, 2.2, 3.0};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.3, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.1, 1.0, -2.2, 3.3};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.2, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 2.0, 2.2, 2.7, -3.3, -5.9};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {0.0, 1.0, 2.2, 3.3, 0.0};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(6.5, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {0.0, 3.0, 1.0, -2.2, 2.2, -1.7, 3.3, 14.5, 0.0, -9.0};
+
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(6.5, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = BLASFUNC(dsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(50.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.1};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.1, 0.0};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.1, -1.0};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.1, -1.5, 1.0, 1.0};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(2.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.1, 1.0, 2.2};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(4.3, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.1, 0.0, -1.0, -3.0, 2.2, 3.0};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(2.3, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.1, 1.0, -2.2, 3.3};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(3.2, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 2.0, 2.2, 2.7, -3.3, -5.9};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {0.0, 1.0, 2.2, 3.3, 0.0};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(6.5, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {0.0, 3.0, 1.0, -2.2, 2.2, -1.7, 3.3, 14.5, 0.0, -9.0};
+
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(6.5, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dsum by comparing it against pre-calculated values
+ */
+CTEST(dsum, c_api_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = cblas_dsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(50.0, sum, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_dzamax.c

@@ -0,0 +1,294 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 70
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX16
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, step_zero){
+   blasint i;
+   blasint N = ELEMENTS * 2, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.0, 2.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {-1.0, -2.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -3.0, -1.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 3.0, 1.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -3.0, -1.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0, -2.0, -2.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -2.0, -1.0, -2.0, -2.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 2.0, 1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -2.0, -1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i;
+   }
+   x[7 * inc * 2] = 1000.0;
+   x[7 * inc * 2 + 1] = 1000.0;
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = -i;
+   }
+   x[7 * inc * 2] = 1000.0;
+   x[7 * inc * 2 + 1] = 1000.0;
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, positive_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i;
+   }
+   x[7 * inc * 2] = 1000.0;
+   x[7 * inc * 2 + 1] = 1000.0;
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0, amax, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamax by comparing it against pre-calculated values
+ */
+CTEST(dzamax, negative_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = -i;
+   }
+   x[7 * inc * 2] = 1000.0;
+   x[7 * inc * 2 + 1] = 1000.0;
+   double amax = BLASFUNC(dzamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0, amax, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_dzamin.c

@@ -0,0 +1,310 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 70
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX16
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS * 2, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.0, 2.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {-1.0, -2.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -2.0, -1.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 2.0, 1.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -2.0, -1.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0, -2.0, -2.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -2.0, -1.0, -2.0, -2.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 2.0, 1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -2.0, -1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, positive_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+
+/**
+ * Test dzamin by comparing it against pre-calculated values
+ */
+CTEST(dzamin, negative_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   double amin = BLASFUNC(dzamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, amin, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_dzsum.c

@@ -0,0 +1,403 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX16
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.1, -1.0};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.1, 0.0, 2.3, -1.0};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.1, -1.0, 2.3, -1.0};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.4, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.1, -1.5, 1.1, -1.0, 1.0, 1.0, 1.1, -1.0};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.6, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 1.1, -1.0, 0.0};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.4, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.1, 0.0, -1.0, 0.0, -1.0, -3.0, -1.0, 0.0, 2.2, 3.0, -1.0, 0.0};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.3, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.1, 1.0, -2.2, 3.3, 1.1, 1.0, -2.2, 3.3};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(6.4, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.1, 0.0, 1.1, 1.0, 1.0, 2.0, 1.1, 1.0, 2.2, 2.7, 1.1, 1.0, -3.3, -5.9};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(-0.2, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {0.0, 1.0, 2.2, 3.3, 0.0, 0.0, 1.0, 2.2, 3.3, 0.0};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(13.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {0.0, 3.0, 1.0, 2.2, 1.0, -2.2, 1.0, 2.2, 2.2, -1.7, 1.0, 2.2, 3.3, 14.5, 1.0, 2.2, 0.0, -9.0, 1.0, 2.2};
+
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(11.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = BLASFUNC(dzsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.1, -1.0};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.1, 0.0, 2.3, -1.0};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.1, -1.0, 2.3, -1.0};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.4, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.1, -1.5, 1.1, -1.0, 1.0, 1.0, 1.1, -1.0};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.6, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 1.1, -1.0, 0.0};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(4.4, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.1, 0.0, -1.0, 0.0, -1.0, -3.0, -1.0, 0.0, 2.2, 3.0, -1.0, 0.0};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(2.3, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.1, 1.0, -2.2, 3.3, 1.1, 1.0, -2.2, 3.3};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(6.4, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.1, 0.0, 1.1, 1.0, 1.0, 2.0, 1.1, 1.0, 2.2, 2.7, 1.1, 1.0, -3.3, -5.9};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(-0.2, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {0.0, 1.0, 2.2, 3.3, 0.0, 0.0, 1.0, 2.2, 3.3, 0.0};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(13.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {0.0, 3.0, 1.0, 2.2, 1.0, -2.2, 1.0, 2.2, 2.2, -1.7, 1.0, 2.2, 3.3, 14.5, 1.0, 2.2, 0.0, -9.0, 1.0, 2.2};
+
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(11.1, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test dzsum by comparing it against pre-calculated values
+ */
+CTEST(dzsum, c_api_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0 : 1.0;
+   }
+   double sum = cblas_dzsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0, sum, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_icamin.c

@@ -0,0 +1,625 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * 2; i ++) {
+      x[i] = i - 1000;
+   }
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.0f, 2.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {-1.0f, -2.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -2.0f, -1.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -2.0f, -1.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f, -2.0f, -2.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -2.0f, -1.0f, -2.0f, -2.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -2.0f, -1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, positive_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, negative_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc * 2] = 0.0f;
+   x[(N - 1) * inc * 2 + 1] = 0.0f;
+   blasint index = BLASFUNC(icamin)(&N, x, &inc);
+   ASSERT_EQUAL(N, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_bad_args_N_0){
+    blasint i;
+    blasint N = 0, inc = 1;
+    float x[ELEMENTS * 2];
+    for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+        x[i] = 1000 - i;
+    }
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_step_zero){
+    blasint i;
+    blasint N = ELEMENTS, inc = 0;
+    float x[ELEMENTS * 2];
+    for (i = 0; i < N * 2; i ++) {
+        x[i] = i - 1000;
+    }
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_1_N_1){
+    blasint N = 1, inc = 1;
+    float x[] = {1.0f, 2.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_1_N_1){
+    blasint N = 1, inc = 1;
+    float x[] = {-1.0f, -2.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_2_N_1){
+    blasint N = 1, inc = 2;
+    float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_2_N_1){
+    blasint N = 1, inc = 2;
+    float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_1_N_2){
+    blasint N = 2, inc = 1;
+    float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_1_N_2){
+    blasint N = 2, inc = 1;
+    float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_2_N_2){
+    blasint N = 2, inc = 2;
+    float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_2_N_2){
+    blasint N = 2, inc = 2;
+    float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_1_N_3){
+    blasint N = 3, inc = 1;
+    float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_1_N_3){
+    blasint N = 3, inc = 1;
+    float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -2.0f, -1.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_2_N_3){
+    blasint N = 3, inc = 2;
+    float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_2_N_3){
+    blasint N = 3, inc = 2;
+    float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -2.0f, -1.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_1_N_4){
+    blasint N = 4, inc = 1;
+    float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f, -2.0f, -2.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_1_N_4){
+    blasint N = 4, inc = 1;
+    float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -2.0f, -1.0f, -2.0f, -2.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_2_N_4){
+    blasint N = 4, inc = 2;
+    float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_2_N_4){
+    blasint N = 4, inc = 2;
+    float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -2.0f, -1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_1_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = 1;
+    float x[ELEMENTS * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = i + 1000;
+    }
+    x[7 * inc * 2] = 0.0f;
+    x[7 * inc * 2 + 1] = 0.0f;
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_1_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = 1;
+    float x[ELEMENTS * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = - i - 1000;
+    }
+    x[7 * inc * 2] = 0.0f;
+    x[7 * inc * 2 + 1] = 0.0f;
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_positive_step_2_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = INCREMENT;
+    float x[ELEMENTS * INCREMENT * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = i + 1000;
+    }
+    x[7 * inc * 2] = 0.0f;
+    x[7 * inc * 2 + 1] = 0.0f;
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_negative_step_2_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = INCREMENT;
+    float x[ELEMENTS * INCREMENT * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = - i - 1000;
+    }
+    x[7 * inc * 2] = 0.0f;
+    x[7 * inc * 2 + 1] = 0.0f;
+    blasint index = cblas_icamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test icamin by comparing it against pre-calculated values
+ */
+CTEST(icamin, c_api_min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc * 2] = 0.0f;
+   x[(N - 1) * inc * 2 + 1] = 0.0f;
+   blasint index = cblas_icamin(N, x, inc);
+   ASSERT_EQUAL(N - 1, index);
+}
+#endif

utest/test_extensions/test_idamin.c

@@ -0,0 +1,787 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_DOUBLE
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.1};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {-1.1};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.1, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {-1.1, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.1, 1.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {-1.1, 1.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.1, 1.0, 2.2};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 3.3};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2, -3.3};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0, 3.3, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0, -3.3, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 3.3, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2, -3.3, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0, 3.3, 0.0, 0.0, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0, -3.3, 0.0, 0.0, 0.0};
+
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0;
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0;
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, positive_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0;
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, negative_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0;
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0;
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(N, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, min_idx_in_vec_tail_inc_1){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * inc];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0f;
+   blasint index = BLASFUNC(idamin)(&N, x, &inc);
+   ASSERT_EQUAL(N, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0;
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.1};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {-1.1};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.1, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {-1.1, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.1, 1.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {-1.1, 1.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.1, 1.0, 2.2};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 3.3};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2, -3.3};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0, 3.3, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0, -3.3, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {1.1, 1.0, 2.2, 3.3, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_1_N_5){
+   blasint N = 5, inc = 1;
+   double x[] = {-1.1, 1.0, -2.2, -3.3, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {1.1, 0.0, 1.0, 0.0, 2.2, 0.0, 3.3, 0.0, 0.0, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_2_N_5){
+   blasint N = 5, inc = 2;
+   double x[] = {-1.1, 0.0, 1.0, 0.0, -2.2, 0.0, -3.3, 0.0, 0.0, 0.0};
+
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0;
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0;
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_positive_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0;
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_negative_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0;
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0;
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(N - 1, index);
+}
+
+/**
+ * C API specific test
+ * Test idamin by comparing it against pre-calculated values
+ */
+CTEST(idamin, c_api_min_idx_in_vec_tail_inc_1){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * inc];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0;
+   blasint index = cblas_idamin(N, x, inc);
+   ASSERT_EQUAL(N - 1, index);
+}
+#endif

utest/test_extensions/test_isamin.c

@@ -0,0 +1,787 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_SINGLE
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.1f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {-1.1f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.1f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {-1.1f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.1f, 1.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {-1.1f, 1.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 3.3f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f, -3.3f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f, 3.3f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f, -3.3f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 3.3f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f, -3.3f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f, 3.3f, 0.0f, 0.0f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f, -3.3f, 0.0f, 0.0f, 0.0f};
+
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(5, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0f;
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0f;
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, positive_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0f;
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, negative_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0f;
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(9, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0f;
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(N, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, min_idx_in_vec_tail_inc_1){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * inc];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0f;
+   blasint index = BLASFUNC(isamin)(&N, x, &inc);
+   ASSERT_EQUAL(N, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.1f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {-1.1f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.1f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {-1.1f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.1f, 1.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {-1.1f, 1.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 3.3f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f, -3.3f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f, 3.3f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f, -3.3f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 3.3f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f, -3.3f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f, 3.3f, 0.0f, 0.0f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f, -3.3f, 0.0f, 0.0f, 0.0f};
+
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(4, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_1_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = 1;
+    float x[ELEMENTS];
+    for (i = 0; i < N * inc; i ++) {
+        x[i] = i + 1000;
+    }
+
+    x[8 * inc] = 0.0f;
+    blasint index = cblas_isamin(N, x, inc);
+    ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_1_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = 1;
+    float x[ELEMENTS];
+    for (i = 0; i < N  * inc; i ++) {
+        x[i] = - i - 1000;
+    }
+
+    x[8 * inc] = -1.0f;
+    blasint index = cblas_isamin(N, x, inc);
+    ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_positive_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0f;
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_negative_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0f;
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0f;
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(N - 1, index);
+}
+
+/**
+ * C API specific test
+ * Test isamin by comparing it against pre-calculated values
+ */
+CTEST(isamin, c_api_min_idx_in_vec_tail_inc_1){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * inc];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc] = 0.0f;
+   blasint index = cblas_isamin(N, x, inc);
+   ASSERT_EQUAL(N - 1, index);
+}
+#endif

utest/test_extensions/test_izamin.c

@@ -0,0 +1,625 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX16
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * 2; i ++) {
+      x[i] = i - 1000;
+   }
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(0, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {1.0, 2.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   double x[] = {-1.0, -2.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(1, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -2.0, -1.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 2.0, 1.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -2.0, -1.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0, -2.0, -2.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -2.0, -1.0, -2.0, -2.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 2.0, 1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -2.0, -1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(2, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   double x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, positive_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, negative_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0;
+   x[7 * inc * 2 + 1] = 0.0;
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(8, index);
+}
+
+/**
+ * Fortran API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc * 2] = 0.0;
+   x[(N - 1) * inc * 2 + 1] = 0.0;
+   blasint index = BLASFUNC(izamin)(&N, x, &inc);
+   ASSERT_EQUAL(N, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_bad_args_N_0){
+    blasint i;
+    blasint N = 0, inc = 1;
+    double x[ELEMENTS * 2];
+    for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+        x[i] = 1000 - i;
+    }
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_step_zero){
+    blasint i;
+    blasint N = ELEMENTS, inc = 0;
+    double x[ELEMENTS * 2];
+    for (i = 0; i < N * 2; i ++) {
+        x[i] = i - 1000;
+    }
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_1_N_1){
+    blasint N = 1, inc = 1;
+    double x[] = {1.0, 2.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_1_N_1){
+    blasint N = 1, inc = 1;
+    double x[] = {-1.0, -2.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_2_N_1){
+    blasint N = 1, inc = 2;
+    double x[] = {1.0, 2.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_2_N_1){
+    blasint N = 1, inc = 2;
+    double x[] = {-1.0, -2.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(0, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_1_N_2){
+    blasint N = 2, inc = 1;
+    double x[] = {1.0, 2.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_1_N_2){
+    blasint N = 2, inc = 1;
+    double x[] = {-1.0, -2.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_2_N_2){
+    blasint N = 2, inc = 2;
+    double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_2_N_2){
+    blasint N = 2, inc = 2;
+    double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_1_N_3){
+    blasint N = 3, inc = 1;
+    double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_1_N_3){
+    blasint N = 3, inc = 1;
+    double x[] = {-1.0, -2.0, 0.0, 0.0, -2.0, -1.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_2_N_3){
+    blasint N = 3, inc = 2;
+    double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 2.0, 1.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_2_N_3){
+    blasint N = 3, inc = 2;
+    double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -2.0, -1.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_1_N_4){
+    blasint N = 4, inc = 1;
+    double x[] = {1.0, 2.0, 0.0, 0.0, 2.0, 1.0, -2.0, -2.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_1_N_4){
+    blasint N = 4, inc = 1;
+    double x[] = {-1.0, -2.0, 0.0, 0.0, -2.0, -1.0, -2.0, -2.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_2_N_4){
+    blasint N = 4, inc = 2;
+    double x[] = {1.0, 2.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 2.0, 1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_2_N_4){
+    blasint N = 4, inc = 2;
+    double x[] = {-1.0, -2.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -2.0, -1.0, 0.0, 0.0, -2.0, -2.0, 0.0, 0.0};
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(1, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_1_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = 1;
+    double x[ELEMENTS * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = i + 1000;
+    }
+    x[7 * inc * 2] = 0.0;
+    x[7 * inc * 2 + 1] = 0.0;
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_1_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = 1;
+    double x[ELEMENTS * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = - i - 1000;
+    }
+    x[7 * inc * 2] = 0.0;
+    x[7 * inc * 2 + 1] = 0.0;
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_positive_step_2_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = INCREMENT;
+    double x[ELEMENTS * INCREMENT * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = i + 1000;
+    }
+    x[7 * inc * 2] = 0.0;
+    x[7 * inc * 2 + 1] = 0.0;
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_negative_step_2_N_50){
+    blasint i;
+    blasint N = ELEMENTS, inc = INCREMENT;
+    double x[ELEMENTS * INCREMENT * 2];
+    for (i = 0; i < N * inc * 2; i ++) {
+        x[i] = - i - 1000;
+    }
+    x[7 * inc * 2] = 0.0;
+    x[7 * inc * 2 + 1] = 0.0;
+    blasint index = cblas_izamin(N, x, inc);
+    ASSERT_EQUAL(7, index);
+}
+
+/**
+ * C API specific test
+ * Test izamin by comparing it against pre-calculated values
+ */
+CTEST(izamin, c_api_min_idx_in_vec_tail){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   double x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[(N - 1) * inc * 2] = 0.0;
+   x[(N - 1) * inc * 2 + 1] = 0.0;
+   blasint index = cblas_izamin(N, x, inc);
+   ASSERT_EQUAL(N - 1, index);
+}
+#endif

utest/test_extensions/test_samin.c

@@ -0,0 +1,354 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 70
+#define INCREMENT 2
+
+#ifdef BUILD_SINGLE
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.1f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {-1.1f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.1f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {-1.1f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.1f, 1.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {-1.1f, 1.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 3.3f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f, -3.3f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f, 3.3f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f, -3.3f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 3.3f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {-1.1f, 1.0f, -2.2f, -3.3f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 0.0f, 2.2f, 0.0f, 3.3f, 0.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {-1.1f, 0.0f, 1.0f, 0.0f, -2.2f, 0.0f, -3.3f, 0.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 0.0f;
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0f;
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, positive_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = i + 1000;
+   }
+
+   x[8 * inc] = 1.0f;
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test samin by comparing it against pre-calculated values
+ */
+CTEST(samin, negative_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = - i - 1000;
+   }
+
+   x[8 * inc] = -1.0f;
+   float amin = BLASFUNC(samin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, amin, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_saxpby.c

@@ -0,0 +1,794 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_SAXPBY {
+    float x_test[DATASIZE * INCREMENT];
+    float x_verify[DATASIZE * INCREMENT];
+    float y_test[DATASIZE * INCREMENT];
+    float y_verify[DATASIZE * INCREMENT];
+};
+#ifdef BUILD_SINGLE
+static struct DATA_SAXPBY data_saxpby;
+
+/**
+ * Fortran API specific function
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static float check_saxpby(blasint n, float alpha, blasint incx, float beta, blasint incy)
+{
+    blasint i;
+
+    // sscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Fill vectors x, y
+    srand_generate(data_saxpby.x_test, n * incx_abs);
+    srand_generate(data_saxpby.y_test, n * incy_abs);
+
+    // Copy vector x for saxpy
+    for (i = 0; i < n * incx_abs; i++)
+        data_saxpby.x_verify[i] = data_saxpby.x_test[i];
+
+    // Copy vector y for sscal
+    for (i = 0; i < n * incy_abs; i++)
+        data_saxpby.y_verify[i] = data_saxpby.y_test[i];
+
+    // Find beta*y
+    BLASFUNC(sscal)(&n, &beta, data_saxpby.y_verify, &incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    BLASFUNC(saxpy)(&n, &alpha, data_saxpby.x_verify, &incx,
+                        data_saxpby.y_verify, &incy);
+    
+    BLASFUNC(saxpby)(&n, &alpha, data_saxpby.x_test, &incx,
+                        &beta, data_saxpby.y_test, &incy);
+
+    // Find the differences between output vector caculated by saxpby and saxpy
+    for (i = 0; i < n * incy_abs; i++)
+        data_saxpby.y_test[i] -= data_saxpby.y_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(snrm2)(&n, data_saxpby.y_test, &incy_abs);
+}
+
+/**
+ * C API specific function
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static float c_api_check_saxpby(blasint n, float alpha, blasint incx, float beta, blasint incy)
+{
+    blasint i;
+
+    // sscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Copy vector x for saxpy
+    for (i = 0; i < n * incx_abs; i++)
+        data_saxpby.x_verify[i] = data_saxpby.x_test[i];
+
+    // Copy vector y for sscal
+    for (i = 0; i < n * incy_abs; i++)
+        data_saxpby.y_verify[i] = data_saxpby.y_test[i];
+
+    // Find beta*y
+    cblas_sscal(n, beta, data_saxpby.y_verify, incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    cblas_saxpy(n, alpha, data_saxpby.x_verify, incx,
+                        data_saxpby.y_verify, incy);
+    
+    cblas_saxpby(n, alpha, data_saxpby.x_test, incx,
+                        beta, data_saxpby.y_test, incy);
+
+    // Find the differences between output vector caculated by saxpby and saxpy
+    for (i = 0; i < n * incy_abs; i++)
+        data_saxpby.y_test[i] -= data_saxpby.y_verify[i];
+
+    // Find the norm of differences
+    return cblas_snrm2(n, data_saxpby.y_test, incy_abs);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(saxpby, inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(saxpby, inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    float alpha = 2.0f;
+    float beta = 1.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(saxpby, inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 1.0f;
+    float beta = 2.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(saxpby, inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    float alpha = 3.0f;
+    float beta = 4.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(saxpby, inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    float alpha = 5.0f;
+    float beta = 4.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(saxpby, inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    float alpha = 1.0f;
+    float beta = 6.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(saxpby, inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    float alpha = 7.0f;
+    float beta = 3.5f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(saxpby, inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 0.0f;
+    float beta = 1.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+*/
+CTEST(saxpby, inc_x_1_inc_y_2_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 0.0f;
+    float beta = 1.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(saxpby, inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * Scalar beta is zero
+*/
+CTEST(saxpby, inc_x_2_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(saxpby, inc_x_1_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(saxpby, inc_x_2_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(saxpby, inc_x_1_inc_y_1_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 0.0f;
+    float beta = 0.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(saxpby, inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 0.0f;
+    float beta = 0.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(saxpby, check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = check_saxpby(n, alpha, incx, beta, incy);
+    
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(saxpby, c_api_inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(saxpby, c_api_inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    float alpha = 2.0f;
+    float beta = 1.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(saxpby, c_api_inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 1.0f;
+    float beta = 2.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(saxpby, c_api_inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    float alpha = 3.0f;
+    float beta = 4.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(saxpby, c_api_inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    float alpha = 5.0f;
+    float beta = 4.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(saxpby, c_api_inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    float alpha = 1.0f;
+    float beta = 6.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(saxpby, c_api_inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    float alpha = 7.0f;
+    float beta = 3.5f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(saxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 0.0f;
+    float beta = 1.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+*/
+CTEST(saxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 0.0f;
+    float beta = 1.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(saxpby, c_api_inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * Scalar beta is zero
+*/
+CTEST(saxpby, c_api_inc_x_2_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(saxpby, c_api_inc_x_1_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * Scalar beta is zero
+*/
+CTEST(saxpby, c_api_inc_x_2_inc_y_2_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    float alpha = 1.0f;
+    float beta = 0.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(saxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    float alpha = 0.0f;
+    float beta = 0.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test saxpby by comparing it with sscal and saxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(saxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    float alpha = 0.0f;
+    float beta = 0.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(saxpby, c_api_check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_scamax.c

@@ -0,0 +1,294 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 70
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, step_zero){
+   blasint i;
+   blasint N = ELEMENTS * 2, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.0f, 2.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {-1.0f, -2.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -3.0f, -1.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 3.0f, 1.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -3.0f, -1.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f, -2.0f, -2.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -2.0f, -1.0f, -2.0f, -2.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -2.0f, -1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i;
+   }
+   x[7 * inc * 2] = 1000.0f;
+   x[7 * inc * 2 + 1] = 1000.0f;
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = -i;
+   }
+   x[7 * inc * 2] = 1000.0f;
+   x[7 * inc * 2 + 1] = 1000.0f;
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, positive_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i;
+   }
+   x[7 * inc * 2] = 1000.0f;
+   x[7 * inc * 2 + 1] = 1000.0f;
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0f, amax, SINGLE_EPS);
+}
+
+/**
+ * Test scamax by comparing it against pre-calculated values
+ */
+CTEST(scamax, negative_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = -i;
+   }
+   x[7 * inc * 2] = 1000.0f;
+   x[7 * inc * 2 + 1] = 1000.0f;
+   float amax = BLASFUNC(scamax)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2000.0f, amax, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_scamin.c

@@ -0,0 +1,310 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 70
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, step_zero){
+   blasint i;
+   blasint N = ELEMENTS * 2, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.0f, 2.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {-1.0f, -2.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -2.0f, -1.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -2.0f, -1.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 2.0f, 1.0f, -2.0f, -2.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -2.0f, -1.0f, -2.0f, -2.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.0f, 2.0f, 0.0f, 0.0f, 1.0f, 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {-1.0f, -2.0f, 0.0f, 0.0f, -1.0f, -1.0f, 0.0f, 0.0f, -2.0f, -1.0f, 0.0f, 0.0f, -2.0f, -2.0f, 0.0f, 0.0f};
+
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_1_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, positive_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+
+/**
+ * Test scamin by comparing it against pre-calculated values
+ */
+CTEST(scamin, negative_step_2_N_70){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = - i - 1000;
+   }
+   x[7 * inc * 2] = 0.0f;
+   x[7 * inc * 2 + 1] = 0.0f;
+   float amin = BLASFUNC(scamin)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, amin, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_scsum.c

@@ -0,0 +1,403 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_COMPLEX
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.1f, -1.0f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.1f, 0.0f, 2.3f, -1.0f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.1f, -1.0f, 2.3f, -1.0f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.4f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.1f, -1.5f, 1.1f, -1.0f, 1.0f, 1.0f, 1.1f, -1.0f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.6f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 1.1f, -1.0f, 0.0f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.4f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.1f, 0.0f, -1.0f, 0.0f, -1.0f, -3.0f, -1.0f, 0.0f, 2.2f, 3.0f, -1.0f, 0.0f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.3f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.1f, 1.0f, -2.2f, 3.3f, 1.1f, 1.0f, -2.2f, 3.3f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(6.4f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.1f, 1.0f, 1.0f, 2.0f, 1.1f, 1.0f, 2.2f, 2.7f, 1.1f, 1.0f, -3.3f, -5.9f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(-0.2f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {0.0f, 1.0f, 2.2f, 3.3f, 0.0f, 0.0f, 1.0f, 2.2f, 3.3f, 0.0f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(13.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {0.0f, 3.0f, 1.0f, 2.2f, 1.0f, -2.2f, 1.0f, 2.2f, 2.2f, -1.7f, 1.0f, 2.2f, 3.3f, 14.5f, 1.0f, 2.2f, 0.0f, -9.0f, 1.0f, 2.2f};
+
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(11.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = BLASFUNC(scsum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < ELEMENTS * inc * 2; i ++) {
+      x[i] = 1000 - i;
+   }
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc * 2; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.1f, -1.0f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.1f, 0.0f, 2.3f, -1.0f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.1f, -1.0f, 2.3f, -1.0f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.4f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.1f, -1.5f, 1.1f, -1.0f, 1.0f, 1.0f, 1.1f, -1.0f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.6f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f, 1.1f, -1.0f, 0.0f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(4.4f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.1f, 0.0f, -1.0f, 0.0f, -1.0f, -3.0f, -1.0f, 0.0f, 2.2f, 3.0f, -1.0f, 0.0f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(2.3f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.1f, 1.0f, -2.2f, 3.3f, 1.1f, 1.0f, -2.2f, 3.3f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(6.4f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.1f, 1.0f, 1.0f, 2.0f, 1.1f, 1.0f, 2.2f, 2.7f, 1.1f, 1.0f, -3.3f, -5.9f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(-0.2f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {0.0f, 1.0f, 2.2f, 3.3f, 0.0f, 0.0f, 1.0f, 2.2f, 3.3f, 0.0f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(13.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {0.0f, 3.0f, 1.0f, 2.2f, 1.0f, -2.2f, 1.0f, 2.2f, 2.2f, -1.7f, 1.0f, 2.2f, 3.3f, 14.5f, 1.0f, 2.2f, 0.0f, -9.0f, 1.0f, 2.2f};
+
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(11.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test scsum by comparing it against pre-calculated values
+ */
+CTEST(scsum, c_api_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT * 2];
+   for (i = 0; i < N * inc * 2; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = cblas_scsum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_sgeadd.c

@@ -0,0 +1,880 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define N 100
+#define M 100
+
+struct DATA_SGEADD
+{
+    float a_test[M * N];
+    float c_test[M * N];
+    float c_verify[M * N];
+};
+
+#ifdef BUILD_SINGLE
+static struct DATA_SGEADD data_sgeadd;
+
+/**
+ * sgeadd reference implementation
+ *
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param aptr - refer to matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param cptr - refer to matrix C
+ * param ldc - leading dimension of C
+ */
+static void sgeadd_trusted(blasint m, blasint n, float alpha, float *aptr,
+                           blasint lda, float beta, float *cptr, blasint ldc)
+{
+    blasint i;
+
+    for (i = 0; i < n; i++)
+    {
+        cblas_saxpby(m, alpha, aptr, 1, beta, cptr, 1);
+        aptr += lda;
+        cptr += ldc;
+    }
+}
+
+/**
+ * Test sgeadd by comparing it against reference
+ * Compare with the following options:
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param ldc - leading dimension of C
+ * return norm of differences
+ */
+static float check_sgeadd(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                          blasint m, blasint n, float alpha, blasint lda,
+                          float beta, blasint ldc)
+{
+    blasint i;
+    blasint cols = m, rows = n;
+
+    if (order == CblasRowMajor)
+    {
+        rows = m;
+        cols = n;
+    }
+
+    // Fill matrix A, C
+    srand_generate(data_sgeadd.a_test, lda * rows);
+    srand_generate(data_sgeadd.c_test, ldc * rows);
+
+    // Copy matrix C for sgeadd
+    for (i = 0; i < ldc * rows; i++)
+        data_sgeadd.c_verify[i] = data_sgeadd.c_test[i];
+
+    sgeadd_trusted(cols, rows, alpha, data_sgeadd.a_test, lda,
+                   beta, data_sgeadd.c_verify, ldc);
+
+    if (api == 'F')
+        BLASFUNC(sgeadd)
+        (&m, &n, &alpha, data_sgeadd.a_test, &lda,
+         &beta, data_sgeadd.c_test, &ldc);
+    else
+        cblas_sgeadd(order, m, n, alpha, data_sgeadd.a_test, lda,
+                     beta, data_sgeadd.c_test, ldc);
+
+    // Find the differences between output matrix caculated by sgeadd and sgemm
+    return smatrix_difference(data_sgeadd.c_test, data_sgeadd.c_verify, cols, rows, ldc);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param lda - leading dimension of A
+ * param ldc - leading dimension of C
+ * param expected_info - expected invalid parameter number in sgeadd
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                         blasint m, blasint n, blasint lda,
+                         blasint ldc, int expected_info)
+{
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    set_xerbla("SGEADD ", expected_info);
+
+    if (api == 'F')
+        BLASFUNC(sgeadd)
+        (&m, &n, &alpha, data_sgeadd.a_test, &lda,
+         &beta, data_sgeadd.c_test, &ldc);
+    else
+        cblas_sgeadd(order, m, n, alpha, data_sgeadd.a_test, lda,
+                     beta, data_sgeadd.c_test, ldc);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(sgeadd, matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 3.0f;
+    float beta = 3.0f;
+
+    float norm = check_sgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(sgeadd, matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 0.0f;
+    float beta = 2.5f;
+
+    float norm = check_sgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(sgeadd, matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 3.0f;
+    float beta = 0.0f;
+
+    float norm = check_sgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(sgeadd, matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 0.0f;
+    float beta = 0.0f;
+
+    float norm = check_sgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(sgeadd, matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = check_sgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C
+ * Must be at least zero.
+ */
+CTEST(sgeadd, xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ */
+CTEST(sgeadd, xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ */
+CTEST(sgeadd, xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 6;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ */
+CTEST(sgeadd, xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - number of columns of A, C equal zero.
+ */
+CTEST(sgeadd, n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = check_sgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if m - number of rows of A and C equal zero.
+ */
+CTEST(sgeadd, m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = check_sgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(sgeadd, c_api_matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 2.0f;
+    float beta = 3.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                              lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(sgeadd, c_api_matrix_n_100_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 4.0f;
+    float beta = 2.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                              lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(sgeadd, c_api_matrix_n_50_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N / 2;
+    blasint m = M;
+
+    blasint lda = n;
+    blasint ldc = n;
+
+    float alpha = 3.0f;
+    float beta = 1.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                              lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(sgeadd, c_api_matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 0.0f;
+    float beta = 1.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                              lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(sgeadd, c_api_matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 3.0f;
+    float beta = 0.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                              lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(sgeadd, c_api_matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 0.0f;
+    float beta = 0.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                              lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test sgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(sgeadd, c_api_matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    float alpha = 3.0f;
+    float beta = 4.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                              lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param order -
+ * specifies whether A and C stored in
+ * row-major order or column-major order
+ */
+CTEST(sgeadd, c_api_xerbla_invalid_order)
+{
+    CBLAS_ORDER order = INVALID;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 0;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(sgeadd, c_api_xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(sgeadd, c_api_xerbla_n_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(sgeadd, c_api_xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(sgeadd, c_api_xerbla_m_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(sgeadd, c_api_xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(sgeadd, c_api_xerbla_lda_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(sgeadd, c_api_xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(sgeadd, c_api_xerbla_ldc_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Check if n - number of columns of A, C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(sgeadd, c_api_n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if m - number of rows of A and C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(sgeadd, c_api_m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    float alpha = 1.0f;
+    float beta = 1.0f;
+
+    float norm = check_sgeadd('C', order, m, n, alpha,
+                                    lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_simatcopy.c

@@ -0,0 +1,947 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_SIMATCOPY {
+    float a_test[DATASIZE* DATASIZE];
+    float a_verify[DATASIZE* DATASIZE];
+};
+
+#ifdef BUILD_SINGLE
+static struct DATA_SIMATCOPY data_simatcopy;
+
+/**
+ * Comapare results computed by simatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param alpha specifies scaling factor for matrix A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * return norm of difference between openblas and reference func
+ */
+static float check_simatcopy(char api, char order, char trans, blasint rows, blasint cols, float alpha, 
+                             blasint lda_src, blasint lda_dst)
+{
+    blasint m, n;
+    blasint rows_out, cols_out;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+
+    if (order == 'C') {
+        n = rows; m = cols;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        rows_out = n; cols_out = m;
+    }
+    else {
+        rows_out = m; cols_out = n;
+    }
+
+    srand_generate(data_simatcopy.a_test, lda_src*m);
+
+    if (trans == 'T' || trans == 'C') {
+        stranspose(m, n, alpha, data_simatcopy.a_test, lda_src, data_simatcopy.a_verify, lda_dst);
+    } 
+    else {
+        scopy(m, n, alpha, data_simatcopy.a_test, lda_src, data_simatcopy.a_verify, lda_dst);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(simatcopy)(&order, &trans, &rows, &cols, &alpha, data_simatcopy.a_test, 
+                            &lda_src, &lda_dst);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_simatcopy(corder, ctrans, rows, cols, alpha, data_simatcopy.a_test, 
+                    lda_src, lda_dst);
+    }
+
+    // Find the differences between output matrix computed by simatcopy and reference func
+    return smatrix_difference(data_simatcopy.a_test, data_simatcopy.a_verify, cols_out, rows_out, lda_dst);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda_src, blasint lda_dst, int expected_info)
+{
+    float alpha = 1.0f;
+
+    set_xerbla("SIMATCOPY", expected_info);
+
+    BLASFUNC(simatcopy)(&order, &trans, &rows, &cols, &alpha, data_simatcopy.a_test, 
+                        &lda_src, &lda_dst);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, colmajor_trans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, colmajor_notrans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, colmajor_trans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, colmajor_notrans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, colmajor_trans_col_50_row_100_alpha_one)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, colmajor_notrans_col_50_row_100_alpha_one)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, colmajor_trans_col_50_row_100_alpha_zero)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, colmajor_notrans_col_50_row_100_alpha_zero)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, rowmajor_trans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, rowmajor_notrans_col_100_row_100_alpha_one)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, rowmajor_trans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, rowmajor_notrans_col_100_row_100_alpha_zero)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific tests
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, rowmajor_trans_col_100_row_50_alpha_one)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 1.0f
+ */
+CTEST(simatcopy, rowmajor_notrans_col_100_row_50_alpha_one)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, rowmajor_trans_col_100_row_50_alpha_zero)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0f
+ */
+CTEST(simatcopy, rowmajor_notrans_col_100_row_50_alpha_zero)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 0.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, rowmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, rowmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, c_api_colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, c_api_colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, c_api_rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test simatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 2.0f
+ */
+CTEST(simatcopy, c_api_rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 2.0f;
+
+    float norm = check_simatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test error function for an invalid param order.
+ * Must be column (C) or row major (R).
+ */
+CTEST(simatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param trans.
+ * Must be trans (T/C) or no-trans (N/R).
+ */
+CTEST(simatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param m.
+ * Must be positive.
+ */
+CTEST(simatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda_src = 0, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param n.
+ * Must be positive.
+ */
+CTEST(simatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda_src = 100, lda_dst = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using row major layout, 
+ * lda_src must be at least n.
+ */
+CTEST(simatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using column major layout,
+ * lda_src must be at least m.
+ */
+CTEST(simatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is no transposition, lda_dst must be at least n.
+ */
+CTEST(simatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is transposition, lda_dst must be at least m.
+ */
+CTEST(simatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is no transposition, lda_dst must be at least m.
+ */
+CTEST(simatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is transposition, lda_dst must be at least n.
+ */
+CTEST(simatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_somatcopy.c

@@ -0,0 +1,672 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_SOMATCOPY {
+    float a_test[DATASIZE * DATASIZE];
+    float b_test[DATASIZE * DATASIZE];
+    float b_verify[DATASIZE * DATASIZE];
+};
+
+#ifdef BUILD_SINGLE
+static struct DATA_SOMATCOPY data_somatcopy;
+
+/**
+ * Comapare results computed by somatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param alpha - scaling factor for matrix B
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * return norm of difference between openblas and reference func
+ */
+static float check_somatcopy(char api, char order, char trans, blasint rows, blasint cols, float alpha, 
+                             blasint lda, blasint ldb)
+{
+    blasint b_rows, b_cols;
+    blasint m, n;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+
+    if (order == 'C') {
+        m = cols; n = rows;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        b_rows = n; b_cols = m;
+    }
+    else {
+        b_rows = m; b_cols = n;
+    }
+
+    srand_generate(data_somatcopy.a_test, lda*m);
+
+    if (trans == 'T' || trans == 'C') {
+        stranspose(m, n, alpha, data_somatcopy.a_test, lda, data_somatcopy.b_verify, ldb);
+    } 
+    else {
+        scopy(m, n, alpha, data_somatcopy.a_test, lda, data_somatcopy.b_verify, ldb);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(somatcopy)(&order, &trans, &rows, &cols, &alpha, data_somatcopy.a_test, 
+                            &lda, data_somatcopy.b_test, &ldb);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_somatcopy(corder, ctrans, rows, cols, alpha, data_somatcopy.a_test, 
+                    lda, data_somatcopy.b_test, ldb);
+    }
+    
+    return smatrix_difference(data_somatcopy.b_test, data_somatcopy.b_verify, b_cols, b_rows, ldb);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda, blasint ldb, int expected_info)
+{
+    float alpha = 1.0;
+
+    set_xerbla("SOMATCOPY", expected_info);
+
+    BLASFUNC(somatcopy)(&order, &trans, &rows, &cols, &alpha, data_somatcopy.a_test, 
+                        &lda, data_somatcopy.b_test, &ldb);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(somatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 2.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(somatcopy, colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 2.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(somatcopy, colmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 0.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(somatcopy, colmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 50;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 0.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(somatcopy, rowmajor_conjtrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'C'; // same as trans for real matrix
+    float alpha = 2.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 2.0
+ */
+CTEST(somatcopy, rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    float alpha = 2.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Matrix dimensions leave residues from 4 and 2 (specialize
+ * for rt case)
+ * alpha = 1.5
+ */
+CTEST(somatcopy, rowmajor_trans_col_27_row_27)
+{
+    blasint m = 27, n = 27;
+    blasint lda = 27, ldb = 27;
+    char order = 'R';
+    char trans = 'T'; 
+    float alpha = 1.5f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha = 0.0
+ */
+CTEST(somatcopy, rowmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'N'; 
+    float alpha = 0.0f;
+
+    float norm = check_somatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, c_api_colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, c_api_colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, c_api_rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test somatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha = 1.0
+ */
+CTEST(somatcopy, c_api_rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'N';
+    float alpha = 1.0f;
+
+    float norm = check_somatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
+}
+
+/**
+ * Test error function for an invalid param order.
+ * Must be column (C) or row major (R).
+ */
+CTEST(somatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param trans.
+ * Must be trans (T/C) or no-trans (N/R).
+ */
+CTEST(somatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param m.
+ * Must be positive.
+ */
+CTEST(somatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda = 0, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param n.
+ * Must be positive.
+ */
+CTEST(somatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda = 100, ldb = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda.
+ * If matrices are stored using row major layout,
+ * lda must be at least n.
+ */
+CTEST(somatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda.
+ * If matrices are stored using column major layout,
+ * lda must be at least m.
+ */
+CTEST(somatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and
+ * there is no transposition, ldb must be at least n.
+ */
+CTEST(somatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using row major layout and
+ * there is transposition, ldb must be at least m.
+ */
+CTEST(somatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and
+ * there is no transposition, ldb must be at least m.
+ */
+CTEST(somatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param ldb.
+ * If matrices are stored using column major layout and
+ * there is transposition, ldb must be at least n.
+ */
+CTEST(somatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_srotmg.c

@@ -0,0 +1,414 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#ifdef BUILD_SINGLE
+
+/**
+ * Fortran API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, y1_zero)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0f;
+	te_d2 = tr_d2 = 2.0f;
+	te_x1 = tr_x1 = 8.0f;
+	te_y1 = tr_y1 = 0.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0f;
+	tr_d2 = 2.0f;
+	tr_x1 = 8.0f;
+	tr_y1 = 0.0f;
+
+	tr_param[0] = -2.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	BLASFUNC(srotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+
+/**
+ * Fortran API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, d1_negative)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = -1.0f;
+	te_d2 = tr_d2 = 2.0f;
+	te_x1 = tr_x1 = 8.0f;
+	te_y1 = tr_y1 = 8.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0f;
+	tr_d2 = 0.0f;
+	tr_x1 = 0.0f;
+	tr_y1 = 8.0f;
+
+	tr_param[0] = -1.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	BLASFUNC(srotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+
+/**
+ * Fortran API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, d1_positive_d2_positive_x1_zero)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0f;
+	te_d2 = tr_d2 = 2.0f;
+	te_x1 = tr_x1 = 0.0f;
+	te_y1 = tr_y1 = 8.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0f;
+	tr_d2 = 2.0f;
+	tr_x1 = 8.0f;
+	tr_y1 = 8.0f;
+
+	tr_param[0] = 1.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	BLASFUNC(srotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+
+/**
+ * Fortran API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, scaled_y_greater_than_scaled_x)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 1.0f;
+	te_d2 = tr_d2 = -2.0f;
+	te_x1 = tr_x1 = 8.0f;
+	te_y1 = tr_y1 = 8.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0f;
+	tr_d2 = 0.0f;
+	tr_x1 = 0.0f;
+	tr_y1 = 8.0f;
+
+	tr_param[0] = -1.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	BLASFUNC(srotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, c_api_y1_zero)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0f;
+	te_d2 = tr_d2 = 2.0f;
+	te_x1 = tr_x1 = 8.0f;
+	te_y1 = tr_y1 = 0.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0f;
+	tr_d2 = 2.0f;
+	tr_x1 = 8.0f;
+	tr_y1 = 0.0f;
+
+	tr_param[0] = -2.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	cblas_srotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, c_api_d1_negative)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = -1.0f;
+	te_d2 = tr_d2 = 2.0f;
+	te_x1 = tr_x1 = 8.0f;
+	te_y1 = tr_y1 = 8.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0f;
+	tr_d2 = 0.0f;
+	tr_x1 = 0.0f;
+	tr_y1 = 8.0f;
+
+	tr_param[0] = -1.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	cblas_srotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, c_api_d1_positive_d2_positive_x1_zero)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 2.0f;
+	te_d2 = tr_d2 = 2.0f;
+	te_x1 = tr_x1 = 0.0f;
+	te_y1 = tr_y1 = 8.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 2.0f;
+	tr_d2 = 2.0f;
+	tr_x1 = 8.0f;
+	tr_y1 = 8.0f;
+
+	tr_param[0] = 1.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	cblas_srotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+
+/**
+ * C API specific test
+ * Test srotmg by comparing it against pre-calculated values
+ */
+CTEST(srotmg, c_api_scaled_y_greater_than_scaled_x)
+{
+	float te_d1, tr_d1;
+	float te_d2, tr_d2;
+	float te_x1, tr_x1;
+	float te_y1, tr_y1;
+	float te_param[5];
+	float tr_param[5];
+	int i = 0;
+	te_d1 = tr_d1 = 1.0f;
+	te_d2 = tr_d2 = -2.0f;
+	te_x1 = tr_x1 = 8.0f;
+	te_y1 = tr_y1 = 8.0f;
+
+	for(i=0; i<5; i++){
+	  te_param[i] = tr_param[i] = 0.0f;
+	}
+	
+	//reference values as calculated by netlib blas
+	tr_d1 = 0.0f;
+	tr_d2 = 0.0f;
+	tr_x1 = 0.0f;
+	tr_y1 = 8.0f;
+
+	tr_param[0] = -1.0f;
+	tr_param[1] = 0.0f;
+	tr_param[2] = 0.0f;
+	tr_param[3] = 0.0f;
+	tr_param[4] = 0.0f;
+
+	//OpenBLAS
+	cblas_srotmg(&te_d1, &te_d2, &te_x1, te_y1, te_param);
+
+	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, SINGLE_EPS);
+	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, SINGLE_EPS);
+
+	for(i=0; i<5; i++){
+		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], SINGLE_EPS);
+	}
+}
+#endif

utest/test_extensions/test_ssum.c

@@ -0,0 +1,403 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#define ELEMENTS 50
+#define INCREMENT 2
+
+#ifdef BUILD_SINGLE
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.1f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.1f, 0.0f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.1f, -1.0f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.1f, -1.5f, 1.0f, 1.0f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(4.3f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.1f, 0.0f, -1.0f, -3.0f, 2.2f, 3.0f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(2.3f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.1f, 1.0f, -2.2f, 3.3f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(3.2f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 2.0f, 2.2f, 2.7f, -3.3f, -5.9f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {0.0f, 1.0f, 2.2f, 3.3f, 0.0f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(6.5f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {0.0f, 3.0f, 1.0f, -2.2f, 2.2f, -1.7f, 3.3f, 14.5f, 0.0f, -9.0f};
+
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(6.5f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = BLASFUNC(ssum)(&N, x, &inc);
+   ASSERT_DBL_NEAR_TOL(50.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_bad_args_N_0){
+   blasint i;
+   blasint N = 0, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < ELEMENTS * inc; i ++) {
+      x[i] = 1000 - i;
+   }
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_zero){
+   blasint i;
+   blasint N = ELEMENTS, inc = 0;
+   float x[ELEMENTS];
+   for (i = 0; i < N  * inc; i ++) {
+      x[i] = i + 1000;
+   }
+   x[8] = 0.0f;
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_1_N_1){
+   blasint N = 1, inc = 1;
+   float x[] = {1.1f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_2_N_1){
+   blasint N = 1, inc = 2;
+   float x[] = {1.1f, 0.0f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_1_N_2){
+   blasint N = 2, inc = 1;
+   float x[] = {1.1f, -1.0f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_2_N_2){
+   blasint N = 2, inc = 2;
+   float x[] = {1.1f, -1.5f, 1.0f, 1.0f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(2.1f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_1_N_3){
+   blasint N = 3, inc = 1;
+   float x[] = {1.1f, 1.0f, 2.2f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(4.3f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_2_N_3){
+   blasint N = 3, inc = 2;
+   float x[] = {1.1f, 0.0f, -1.0f, -3.0f, 2.2f, 3.0f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(2.3f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_1_N_4){
+   blasint N = 4, inc = 1;
+   float x[] = {1.1f, 1.0f, -2.2f, 3.3f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(3.2f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_2_N_4){
+   blasint N = 4, inc = 2;
+   float x[] = {1.1f, 0.0f, 1.0f, 2.0f, 2.2f, 2.7f, -3.3f, -5.9f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(1.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_1_N_5){
+   blasint N = 5, inc = 1;
+   float x[] = {0.0f, 1.0f, 2.2f, 3.3f, 0.0f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(6.5f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_2_N_5){
+   blasint N = 5, inc = 2;
+   float x[] = {0.0f, 3.0f, 1.0f, -2.2f, 2.2f, -1.7f, 3.3f, 14.5f, 0.0f, -9.0f};
+
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(6.5f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_1_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = 1;
+   float x[ELEMENTS];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(0.0f, sum, SINGLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test ssum by comparing it against pre-calculated values
+ */
+CTEST(ssum, c_api_step_2_N_50){
+   blasint i;
+   blasint N = ELEMENTS, inc = INCREMENT;
+   float x[ELEMENTS * INCREMENT];
+   for (i = 0; i < N * inc; i ++) {
+      x[i] = (i & 1) ? -1.0f : 1.0f;
+   }
+   float sum = cblas_ssum(N, x, inc);
+   ASSERT_DBL_NEAR_TOL(50.0f, sum, SINGLE_EPS);
+}
+#endif

utest/test_extensions/test_zaxpby.c

@@ -0,0 +1,630 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZAXPBY {
+    double x_test[DATASIZE * INCREMENT * 2];
+    double x_verify[DATASIZE * INCREMENT * 2];
+    double y_test[DATASIZE * INCREMENT * 2];
+    double y_verify[DATASIZE * INCREMENT * 2];
+};
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZAXPBY data_zaxpby;
+
+/**
+ * Fortran API specific function
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static double check_zaxpby(blasint n, double *alpha, blasint incx, double *beta, blasint incy)
+{
+    blasint i;
+
+    // zscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Fill vectors x, y
+    drand_generate(data_zaxpby.x_test, n * incx_abs * 2);
+    drand_generate(data_zaxpby.y_test, n * incy_abs * 2);
+
+    // Copy vector x for zaxpy
+    for (i = 0; i < n * incx_abs * 2; i++)
+        data_zaxpby.x_verify[i] = data_zaxpby.x_test[i];
+
+    // Copy vector y for zscal
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_zaxpby.y_verify[i] = data_zaxpby.y_test[i];
+
+    // Find beta*y
+    BLASFUNC(zscal)(&n, beta, data_zaxpby.y_verify, &incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    BLASFUNC(zaxpy)(&n, alpha, data_zaxpby.x_verify, &incx,
+                        data_zaxpby.y_verify, &incy);
+    
+    BLASFUNC(zaxpby)(&n, alpha, data_zaxpby.x_test, &incx,
+                        beta, data_zaxpby.y_test, &incy);
+
+    // Find the differences between output vector caculated by zaxpby and zaxpy
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_zaxpby.y_test[i] -= data_zaxpby.y_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(dznrm2)(&n, data_zaxpby.y_test, &incy_abs);
+}
+
+/**
+ * C API specific function
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Compare with the following options:
+ * 
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param beta - scalar beta
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static double c_api_check_zaxpby(blasint n, double *alpha, blasint incx, double *beta, blasint incy)
+{
+    blasint i;
+
+    // zscal accept only positive increments
+    blasint incx_abs = labs(incx);
+    blasint incy_abs = labs(incy);
+
+    // Fill vectors x, y
+    drand_generate(data_zaxpby.x_test, n * incx_abs * 2);
+    drand_generate(data_zaxpby.y_test, n * incy_abs * 2);
+
+    // Copy vector x for zaxpy
+    for (i = 0; i < n * incx_abs * 2; i++)
+        data_zaxpby.x_verify[i] = data_zaxpby.x_test[i];
+
+    // Copy vector y for zscal
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_zaxpby.y_verify[i] = data_zaxpby.y_test[i];
+
+    // Find beta*y
+    cblas_zscal(n, beta, data_zaxpby.y_verify, incy_abs);
+
+    // Find sum of alpha*x and beta*y
+    cblas_zaxpy(n, alpha, data_zaxpby.x_verify, incx,
+                        data_zaxpby.y_verify, incy);
+    
+    cblas_zaxpby(n, alpha, data_zaxpby.x_test, incx,
+                        beta, data_zaxpby.y_test, incy);
+
+    // Find the differences between output vector caculated by zaxpby and zaxpy
+    for (i = 0; i < n * incy_abs * 2; i++)
+        data_zaxpby.y_test[i] -= data_zaxpby.y_verify[i];
+
+    // Find the norm of differences
+    return cblas_dznrm2(n, data_zaxpby.y_test, incy_abs);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(zaxpby, inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(zaxpby, inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    double alpha[] = {2.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(zaxpby, inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {2.0, 1.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(zaxpby, inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    double alpha[] = {3.0, 1.0};
+    double beta[] = {4.0, 3.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(zaxpby, inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    double alpha[] = {5.0, 2.2};
+    double beta[] = {4.0, 5.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(zaxpby, inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {6.0, 3.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(zaxpby, inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    double alpha[] = {7.0, 2.0};
+    double beta[] = {3.5, 1.3};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(zaxpby, inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(zaxpby, inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(zaxpby, inc_x_1_inc_y_1_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(zaxpby, inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(zaxpby, check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zaxpby(n, alpha, incx, beta, incy);
+    
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(zaxpby, c_api_inc_x_1_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(zaxpby, c_api_inc_x_2_inc_y_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 1;
+    double alpha[] = {2.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(zaxpby, c_api_inc_x_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {2.0, 2.1};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(zaxpby, c_api_inc_x_2_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = 2;
+    double alpha[] = {3.0, 2.0};
+    double beta[] = {4.0, 3.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is 2
+ */
+CTEST(zaxpby, c_api_inc_x_neg_1_inc_y_2_N_100)
+{
+    blasint n = DATASIZE, incx = -1, incy = 2;
+    double alpha[] = {5.0, 2.0};
+    double beta[] = {4.0, 3.1};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is -1
+ */
+CTEST(zaxpby, c_api_inc_x_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = 2, incy = -1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {6.0, 2.3};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is -1
+ */
+CTEST(zaxpby, c_api_inc_x_neg_2_inc_y_neg_1_N_100)
+{
+    blasint n = DATASIZE, incx = -2, incy = -1;
+    double alpha[] = {7.0, 1.0};
+    double beta[] = {3.5, 1.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ */
+CTEST(zaxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar beta is zero
+ */
+CTEST(zaxpby, c_api_inc_x_1_inc_y_1_N_100_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * Scalar alpha is zero
+ * Scalar beta is zero
+ */
+CTEST(zaxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 1;
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zaxpby by comparing it with zscal and zaxpy.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * Scalar alpha is zero
+ * Scalar beta is zero
+*/
+CTEST(zaxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_beta_zero)
+{
+    blasint n = DATASIZE, incx = 1, incy = 2;
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if n - size of vectors x, y is zero
+ */
+CTEST(zaxpby, c_api_check_n_zero)
+{
+    blasint n = 0, incx = 1, incy = 1;
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = c_api_check_zaxpby(n, alpha, incx, beta, incy);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_zaxpyc.c

@@ -0,0 +1,159 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZAXPYC {
+	double x_test[DATASIZE * INCREMENT * 2];
+	double x_verify[DATASIZE * INCREMENT * 2];
+	double y_test[DATASIZE * INCREMENT * 2];
+	double y_verify[DATASIZE * INCREMENT * 2];
+};
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZAXPYC data_zaxpyc;
+
+/**
+ * Test zaxpyc by conjugating vector x and comparing with zaxpy.
+ * Compare with the following options:
+ *
+ * param n - number of elements in vectors x and y
+ * param alpha - scalar alpha
+ * param incx - increment for the elements of x
+ * param incy - increment for the elements of y
+ * return norm of difference
+ */
+static double check_zaxpyc(blasint n, double *alpha, blasint incx, blasint incy)
+{
+	blasint i;
+
+	drand_generate(data_zaxpyc.x_test, n * incx * 2);
+	drand_generate(data_zaxpyc.y_test, n * incy * 2);
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_zaxpyc.x_verify[i] = data_zaxpyc.x_test[i];
+
+	for (i = 0; i < n * incy * 2; i++)
+		data_zaxpyc.y_verify[i] = data_zaxpyc.y_test[i];
+
+	zconjugate_vector(n, incx, data_zaxpyc.x_verify);
+
+	BLASFUNC(zaxpy)
+	(&n, alpha, data_zaxpyc.x_verify, &incx,
+	 data_zaxpyc.y_verify, &incy);
+
+	BLASFUNC(zaxpyc)
+	(&n, alpha, data_zaxpyc.x_test, &incx,
+	 data_zaxpyc.y_test, &incy);
+
+	for (i = 0; i < n * incy * 2; i++)
+		data_zaxpyc.y_verify[i] -= data_zaxpyc.y_test[i];
+
+	return BLASFUNC(dznrm2)(&n, data_zaxpyc.y_verify, &incy);
+}
+
+/**
+ * Test zaxpyc by conjugating vector x and comparing with zaxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ */
+CTEST(zaxpyc, conj_strides_one)
+{
+	blasint n = DATASIZE, incx = 1, incy = 1;
+	double alpha[] = {5.0, 2.2};
+
+	double norm = check_zaxpyc(n, alpha, incx, incy);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zaxpyc by conjugating vector x and comparing with zaxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ */
+CTEST(zaxpyc, conj_incx_one)
+{
+	blasint n = DATASIZE, incx = 1, incy = 2;
+	double alpha[] = {5.0, 2.2};
+
+	double norm = check_zaxpyc(n, alpha, incx, incy);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zaxpyc by conjugating vector x and comparing with zaxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ */
+CTEST(zaxpyc, conj_incy_one)
+{
+	blasint n = DATASIZE, incx = 2, incy = 1;
+	double alpha[] = {5.0, 2.2};
+
+	double norm = check_zaxpyc(n, alpha, incx, incy);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zaxpyc by conjugating vector x and comparing with zaxpy.
+ * Test with the following options:
+ *
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ */
+CTEST(zaxpyc, conj_strides_two)
+{
+	blasint n = DATASIZE, incx = 2, incy = 2;
+	double alpha[] = {5.0, 2.2};
+
+	double norm = check_zaxpyc(n, alpha, incx, incy);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_zgbmv.c

@@ -0,0 +1,280 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 1
+
+struct DATA_ZGBMV {
+    double a_test[DATASIZE * DATASIZE * 2];
+    double a_band_storage[DATASIZE * DATASIZE * 2];
+    double matrix[DATASIZE * DATASIZE * 2];
+    double b_test[DATASIZE * 2 * INCREMENT];
+    double c_test[DATASIZE * 2 * INCREMENT];
+    double c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX16
+
+static struct DATA_ZGBMV data_zgbmv;
+
+/** 
+ * Transform full-storage band matrix A to band-packed storage mode.
+ * 
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param kl - number of sub-diagonals of the matrix A
+ * param ku - number of super-diagonals of the matrix A
+ * output param a - buffer for holding band-packed matrix
+ * param lda - specifies the leading dimension of a
+ * param matrix - buffer holding full-storage band matrix A 
+ * param ldm - specifies the leading full-storage band matrix A
+ */
+static void transform_to_band_storage(blasint m, blasint n, blasint kl, 
+                                      blasint ku, double* a, blasint lda,
+                                      double* matrix, blasint ldm)
+{
+    blasint i, j, k;
+    for (j = 0; j < n; j++) 
+    {
+        k = 2 * (ku - j);
+        for (i = MAX(0, 2*(j - ku)); i < MIN(m, j + kl + 1) * 2; i+=2) 
+        {
+            a[(k + i) + j * lda * 2] = matrix[i + j * ldm * 2];
+            a[(k + i) + j * lda * 2 + 1] = matrix[i + j * ldm * 2 + 1];
+        }
+    }
+}
+
+/** 
+ * Generate full-storage band matrix A with kl sub-diagonals and ku super-diagonals
+ * 
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param kl - number of sub-diagonals of the matrix A
+ * param ku - number of super-diagonals of the matrix A
+ * output param band_matrix - buffer for full-storage band matrix.
+ * param matrix - buffer holding input general matrix
+ * param ldm - specifies the leading of input general matrix
+ */
+static void get_band_matrix(blasint m, blasint n, blasint kl, blasint ku, 
+                            double *band_matrix, double *matrix, blasint ldm)
+{
+    blasint i, j;
+    blasint k = 0;
+    for (i = 0; i < n; i++)
+    {
+        for (j = 0; j < m * 2; j += 2)
+        {
+            if ((blasint)(j/2) > kl + i || i > ku + (blasint)(j/2)) 
+            {
+                band_matrix[i * ldm * 2 + j] = 0.0;
+                band_matrix[i * ldm * 2 + j + 1] = 0.0;
+                continue;
+            }
+
+            band_matrix[i * ldm * 2 + j] = matrix[k++];
+            band_matrix[i * ldm * 2 + j + 1] = matrix[k++];
+        }
+    }
+}
+
+/**
+ * Comapare results computed by zgbmv and zgemv 
+ * since gbmv is gemv for band matrix
+ * 
+ * param trans specifies op(A), the transposition operation applied to A
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param kl - number of sub-diagonals of the matrix A
+ * param ku - number of super-diagonals of the matrix A
+ * param alpha - scaling factor for the matrix-vector product
+ * param lda - specifies the leading dimension of a
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param inc_c - stride of vector c
+ * return norm of differences 
+ */
+static double check_zgbmv(char trans, blasint m, blasint n, blasint kl, blasint ku,
+    double *alpha, blasint lda, blasint inc_b, double *beta, blasint inc_c)
+{
+    blasint i;
+    blasint lenb, lenc;
+    
+    if(trans == 'T' || trans == 'C' || trans == 'D' || trans == 'U'){
+        lenb = m;
+        lenc = n;
+    } else {
+        lenb = n;
+        lenc = m;
+    }
+
+    drand_generate(data_zgbmv.matrix, m * n * 2);
+    drand_generate(data_zgbmv.b_test, 2 * (1 + (lenb - 1) * inc_b));
+    drand_generate(data_zgbmv.c_test, 2 * (1 + (lenc - 1) * inc_c));
+
+    for (i = 0; i < 2 * (1 + (lenc - 1) * inc_c); i++)
+        data_zgbmv.c_verify[i] = data_zgbmv.c_test[i];
+
+    get_band_matrix(m, n, kl, ku, data_zgbmv.a_test, data_zgbmv.matrix, m);
+
+    transform_to_band_storage(m, n, kl, ku, data_zgbmv.a_band_storage, lda, data_zgbmv.a_test, m);
+
+    BLASFUNC(zgemv)(&trans, &m, &n, alpha, data_zgbmv.a_test, &m, data_zgbmv.b_test,
+                    &inc_b, beta, data_zgbmv.c_verify, &inc_c);
+
+    BLASFUNC(zgbmv)(&trans, &m, &n, &kl, &ku, alpha, data_zgbmv.a_band_storage, &lda, data_zgbmv.b_test, 
+                    &inc_b, beta, data_zgbmv.c_test, &inc_c);
+
+    for (i = 0; i < 2 * (1 + (lenc - 1) * inc_c); i++)
+        data_zgbmv.c_verify[i] -= data_zgbmv.c_test[i];
+
+    return BLASFUNC(dznrm2)(&lenc, data_zgbmv.c_verify, &inc_c);
+}
+
+/**
+ * Test zgbmv by comparing it against zgemv
+ * with param trans is D
+ */
+CTEST(zgbmv, trans_D)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 11;
+    blasint lda = 50;
+    char trans = 'D';
+
+    double alpha[] = {7.0, 1.0};
+    double beta[] = {1.5, -1.5};
+
+    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgbmv by comparing it against zgemv
+ * with param trans is O
+ */
+CTEST(zgbmv, trans_O)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 10;
+    blasint lda = 50;
+    char trans = 'O';
+
+    double alpha[] = {7.0, 1.0};
+    double beta[] = {1.5, -1.5};
+
+    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgbmv by comparing it against zgemv
+ * with param trans is S
+ */
+CTEST(zgbmv, trans_S)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 6, ku = 9;
+    blasint lda = 50;
+    char trans = 'S';
+
+    double alpha[] = {7.0, 1.0};
+    double beta[] = {1.5, -1.5};
+
+    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgbmv by comparing it against zgemv
+ * with param trans is U
+ */
+CTEST(zgbmv, trans_U)
+{
+    blasint m = 25, n = 50;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 7, ku = 11;
+    blasint lda = kl + ku + 1;
+    char trans = 'U';
+
+    double alpha[] = {7.0, 1.0};
+    double beta[] = {1.5, -1.5};
+
+    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgbmv by comparing it against zgemv
+ * with param trans is C
+ */
+CTEST(zgbmv, trans_C)
+{
+    blasint m = 50, n = 25;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 11;
+    blasint lda = 50;
+    char trans = 'C';
+
+    double alpha[] = {7.0, 1.0};
+    double beta[] = {1.5, -1.5};
+
+    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgbmv by comparing it against zgemv
+ * with param trans is R
+ */
+CTEST(zgbmv, trans_R)
+{
+    blasint m = 50, n = 100;
+    blasint inc_b = 1, inc_c = 1;
+    blasint kl = 20, ku = 11;
+    blasint lda = 50;
+    char trans = 'R';
+
+    double alpha[] = {7.0, 1.0};
+    double beta[] = {1.5, -1.5};
+
+    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+#endif

utest/test_extensions/test_zgeadd.c

@@ -0,0 +1,880 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define N 100
+#define M 100
+
+struct DATA_ZGEADD {
+    double a_test[M * N * 2];
+    double c_test[M * N * 2];
+    double c_verify[M * N * 2];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZGEADD data_zgeadd;
+
+/**
+ * zgeadd reference implementation
+ *
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param aptr - refer to matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param cptr - refer to matrix C
+ * param ldc - leading dimension of C
+ */
+static void zgeadd_trusted(blasint m, blasint n, double *alpha, double *aptr,
+                           blasint lda, double *beta, double *cptr, blasint ldc)
+{
+    blasint i;
+
+    lda *= 2;
+    ldc *= 2;
+
+    for (i = 0; i < n; i++)
+    {
+        cblas_zaxpby(m, alpha, aptr, 1, beta, cptr, 1);
+        aptr += lda;
+        cptr += ldc;
+    }
+}
+
+/**
+ * Test zgeadd by comparing it against reference
+ * Compare with the following options:
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param alpha - scaling factor for matrix A
+ * param lda - leading dimension of A
+ * param beta - scaling factor for matrix C
+ * param ldc - leading dimension of C
+ * return norm of differences
+ */
+static double check_zgeadd(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                           blasint m, blasint n, double *alpha, blasint lda,
+                           double *beta, blasint ldc)
+{
+    blasint i;
+    blasint cols = m, rows = n;
+
+    if (order == CblasRowMajor)
+    {
+        rows = m;
+        cols = n;
+    }
+
+    // Fill matrix A, C
+    srand_generate(data_zgeadd.a_test, lda * rows * 2);
+    srand_generate(data_zgeadd.c_test, ldc * rows * 2);
+
+    // Copy matrix C for zgeadd
+    for (i = 0; i < ldc * rows * 2; i++)
+        data_zgeadd.c_verify[i] = data_zgeadd.c_test[i];
+
+    zgeadd_trusted(cols, rows, alpha, data_zgeadd.a_test, lda,
+                   beta, data_zgeadd.c_verify, ldc);
+
+    if (api == 'F')
+        BLASFUNC(zgeadd)(&m, &n, alpha, data_zgeadd.a_test, &lda,
+                         beta, data_zgeadd.c_test, &ldc);
+    else
+        cblas_zgeadd(order, m, n, alpha, data_zgeadd.a_test, lda,
+                     beta, data_zgeadd.c_test, ldc);
+
+    // Find the differences between output matrix caculated by zgeadd and sgemm
+    return dmatrix_difference(data_zgeadd.c_test, data_zgeadd.c_verify, cols, rows, ldc * 2);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param api - specifies Fortran or C API
+ * param order - specifies whether A and C stored in
+ * row-major order or column-major order
+ * param m - number of rows of A and C
+ * param n - number of columns of A and C
+ * param lda - leading dimension of A
+ * param ldc - leading dimension of C
+ * param expected_info - expected invalid parameter number in zgeadd
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char api, OPENBLAS_CONST enum CBLAS_ORDER order,
+                         blasint m, blasint n, blasint lda,
+                         blasint ldc, int expected_info)
+{
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    set_xerbla("ZGEADD ", expected_info);
+
+    if (api == 'F')
+        BLASFUNC(zgeadd)(&m, &n, alpha, data_zgeadd.a_test, &lda,
+                         beta, data_zgeadd.c_test, &ldc);
+    else
+        cblas_zgeadd(order, m, n, alpha, data_zgeadd.a_test, lda,
+                     beta, data_zgeadd.c_test, ldc);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(zgeadd, matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {3.0, 2.0};
+    double beta[] = {1.0, 3.0};
+
+    double norm = check_zgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(zgeadd, matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(zgeadd, matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {3.0, 1.5};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(zgeadd, matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(zgeadd, matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C
+ * Must be at least zero.
+ */
+CTEST(zgeadd, xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ */
+CTEST(zgeadd, xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ */
+CTEST(zgeadd, xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 6;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ */
+CTEST(zgeadd, xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('F', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Fortran API specific test
+ * Check if n - number of columns of A, C equal zero.
+ */
+CTEST(zgeadd, n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Check if m - number of rows of A and C equal zero.
+ */
+CTEST(zgeadd, m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zgeadd('F', order, m, n, alpha, lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(zgeadd, c_api_matrix_n_100_m_100)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {2.0, 1.0};
+    double beta[] = {1.0, 3.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ */
+CTEST(zgeadd, c_api_matrix_n_100_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {4.0, 1.5};
+    double beta[] = {2.0, 1.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is row-major order
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(zgeadd, c_api_matrix_n_50_m_100_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = N / 2;
+    blasint m = M;
+
+    blasint lda = n;
+    blasint ldc = n;
+
+    double alpha[] = {3.0, 2.5};
+    double beta[] = {1.0, 2.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar alpha is zero (operation is C:=beta*C)
+ */
+CTEST(zgeadd, c_api_matrix_n_100_m_100_alpha_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalar beta is zero (operation is C:=alpha*A)
+ */
+CTEST(zgeadd, c_api_matrix_n_100_m_100_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {3.0, 1.5};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * c api option order is column-major order
+ * For A number of rows is 100, number of colums is 100
+ * For C number of rows is 100, number of colums is 100
+ * Scalars alpha, beta is zero (operation is C:= 0)
+ */
+CTEST(zgeadd, c_api_matrix_n_100_m_100_alpha_beta_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {0.0, 0.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zgeadd by comparing it against reference
+ * with the following options:
+ *
+ * For A number of rows is 50, number of colums is 100
+ * For C number of rows is 50, number of colums is 100
+ */
+CTEST(zgeadd, c_api_matrix_n_100_m_50)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = N;
+    blasint m = M / 2;
+
+    blasint lda = m;
+    blasint ldc = m;
+
+    double alpha[] = {2.0, 3.0};
+    double beta[] = {2.0, 4.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param order -
+ * specifies whether A and C stored in
+ * row-major order or column-major order
+ */
+CTEST(zgeadd, c_api_xerbla_invalid_order)
+{
+    CBLAS_ORDER order = INVALID;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 0;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(zgeadd, c_api_xerbla_n_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param n -
+ * number of columns of A and C.
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(zgeadd, c_api_xerbla_n_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = INVALID;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(zgeadd, c_api_xerbla_m_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 1;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param m -
+ * number of rows of A and C
+ * Must be at least zero.
+ *
+ * c api option order is row-major order
+ */
+CTEST(zgeadd, c_api_xerbla_m_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = INVALID;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    int expected_info = 2;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(zgeadd, c_api_xerbla_lda_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of A. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(zgeadd, c_api_xerbla_lda_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = INVALID;
+    blasint ldc = 1;
+
+    int expected_info = 5;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is column-major order
+ */
+CTEST(zgeadd, c_api_xerbla_ldc_invalid)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Test error function for an invalid param ldc -
+ * specifies the leading dimension of C. Must be at least MAX(1, m).
+ *
+ * c api option order is row-major order
+ */
+CTEST(zgeadd, c_api_xerbla_ldc_invalid_row_major)
+{
+    CBLAS_ORDER order = CblasRowMajor;
+
+    blasint n = 1;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = INVALID;
+
+    int expected_info = 8;
+
+    int passed = check_badargs('C', order, m, n, lda, ldc, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * C API specific test
+ * Check if n - number of columns of A, C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(zgeadd, c_api_n_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 0;
+    blasint m = 1;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Check if m - number of rows of A and C equal zero.
+ *
+ * c api option order is column-major order
+ */
+CTEST(zgeadd, c_api_m_zero)
+{
+    CBLAS_ORDER order = CblasColMajor;
+
+    blasint n = 1;
+    blasint m = 0;
+
+    blasint lda = 1;
+    blasint ldc = 1;
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zgeadd('C', order, m, n, alpha,
+                               lda, beta, ldc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_zgemm.c

@@ -0,0 +1,273 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZGEMM {
+	double a_test[DATASIZE * DATASIZE * 2];
+    double a_verify[DATASIZE * DATASIZE * 2];
+	double b_test[DATASIZE * DATASIZE * 2];
+    double b_verify[DATASIZE * DATASIZE * 2];
+    double c_test[DATASIZE * DATASIZE * 2];
+	double c_verify[DATASIZE * DATASIZE * 2];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZGEMM data_zgemm;
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices
+ * and comparing it with the non-conjugate zgemm.
+ *
+ * param transa specifies op(A), the transposition (conjugation) operation applied to A
+ * param transb specifies op(B), the transposition (conjugation) operation applied to B
+ * param m specifies the number of rows of the matrix op(A) and of the matrix C
+ * param n specifies the number of columns of the matrix op(B) and the number of columns of the matrix C
+ * param k specifies the number of columns of the matrix op(A) and the number of rows of the matrix op(B)
+ * param alpha - scaling factor for the matrix-matrix product
+ * param lda - leading dimension of matrix A
+ * param ldb - leading dimension of matrix B
+ * param beta - scaling factor for matrix C
+ * param ldc - leading dimension of matrix C
+ * return norm of difference
+ */
+static double check_zgemm(char transa, char transb, blasint m, blasint n, blasint k, 
+                         double *alpha, blasint lda, blasint ldb, double *beta, blasint ldc)
+{
+	blasint i;
+	double alpha_conj[] = {1.0, 0.0}; 
+	char transa_verify = transa;
+    char transb_verify = transb;
+
+    int arows = k, acols = m;
+    int brows = n, bcols = k;
+
+    if (transa == 'T' || transa == 'C'){
+        arows = m; acols = k;
+    }
+
+    if (transb == 'T' || transb == 'C'){
+        brows = k; bcols = n;
+    }
+
+	drand_generate(data_zgemm.a_test, arows * lda * 2);
+	drand_generate(data_zgemm.b_test, brows * ldb * 2);
+    drand_generate(data_zgemm.c_test, n * ldc * 2);
+
+	for (i = 0; i < arows * lda * 2; i++)
+		data_zgemm.a_verify[i] = data_zgemm.a_test[i];
+
+	for (i = 0; i < brows * ldb * 2; i++)
+		data_zgemm.b_verify[i] = data_zgemm.b_test[i];
+
+    for (i = 0; i < n * ldc * 2; i++)
+		data_zgemm.c_verify[i] = data_zgemm.c_test[i];
+
+	if (transa == 'R'){
+		cblas_zimatcopy(CblasColMajor, CblasConjNoTrans, arows, acols, alpha_conj, data_zgemm.a_verify, lda, lda);
+		transa_verify = 'N';
+	}
+
+    if (transb == 'R'){
+		cblas_zimatcopy(CblasColMajor, CblasConjNoTrans, brows, bcols, alpha_conj, data_zgemm.b_verify, ldb, ldb);
+	    transb_verify = 'N';
+	}
+
+	BLASFUNC(zgemm)(&transa_verify, &transb_verify, &m, &n, &k, alpha, data_zgemm.a_verify, &lda,
+	 				data_zgemm.b_verify, &ldb, beta, data_zgemm.c_verify, &ldc);
+
+	BLASFUNC(zgemm)(&transa, &transb, &m, &n, &k, alpha, data_zgemm.a_test, &lda,
+	 				data_zgemm.b_test, &ldb, beta, data_zgemm.c_test, &ldc);
+
+	return dmatrix_difference(data_zgemm.c_test, data_zgemm.c_verify, m, n, ldc*2);
+}
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate zgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(zgemm, conjtransa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'C';
+	char transb = 'R';
+	double alpha[] = {-2.0, 1.0};
+    double beta[] = {1.0, -1.0};
+
+	double norm = check_zgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate zgemm.
+ * Test with the following options:
+ *
+ * matrix A is not conjugate and not transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(zgemm, notransa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'N';
+	char transb = 'R';
+	double alpha[] = {-2.0, 1.0};
+    double beta[] = {1.0, -1.0};
+
+	double norm = check_zgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate zgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is conjugate and transposed
+ */
+CTEST(zgemm, conjnotransa_conjtransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'C';
+	double alpha[] = {-2.0, 1.0};
+    double beta[] = {1.0, -1.0};
+
+	double norm = check_zgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate zgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is not conjugate and not transposed
+ */
+CTEST(zgemm, conjnotransa_notransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'N';
+	double alpha[] = {-2.0, 1.0};
+    double beta[] = {1.0, -1.0};
+
+	double norm = check_zgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate zgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(zgemm, conjnotransa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'R';
+	double alpha[] = {-2.0, 1.0};
+    double beta[] = {1.0, -1.0};
+
+	double norm = check_zgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate zgemm.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not transposed
+ * matrix B is transposed
+ */
+CTEST(zgemm, conjnotransa_transb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'R';
+	char transb = 'T';
+	double alpha[] = {-2.0, 1.0};
+    double beta[] = {1.0, -1.0};
+
+	double norm = check_zgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test zgemm with the conjugate matrices by conjugating and not transposed matrices 
+ * and comparing it with the non-conjugate zgemm.
+ * Test with the following options:
+ *
+ * matrix A is transposed
+ * matrix B is conjugate and not transposed
+ */
+CTEST(zgemm, transa_conjnotransb)
+{
+	blasint n = DATASIZE, m = DATASIZE, k = DATASIZE;
+    blasint lda = DATASIZE, ldb = DATASIZE, ldc = DATASIZE;
+	char transa = 'T';
+	char transb = 'R';
+	double alpha[] = {-2.0, 1.0};
+    double beta[] = {1.0, -1.0};
+
+	double norm = check_zgemm(transa, transb, m, n, k, alpha, lda, ldb, beta, ldc);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_zgemv_n.c

@@ -0,0 +1,341 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZSPMV_N {
+    double a_test[DATASIZE * DATASIZE * 2];
+    double b_test[DATASIZE * 2 * INCREMENT];
+    double c_test[DATASIZE * 2 * INCREMENT];
+    double c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX16
+
+static struct DATA_ZSPMV_N data_zgemv_n;
+
+/**
+ * zgemv not transposed reference code
+ *
+ * param trans specifies whether matris A is conj or/and xconj
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param alpha - scaling factor for the matrib-vector product
+ * param a - buffer holding input matrib A
+ * param lda - leading dimension of matrix A
+ * param b - Buffer holding input vector b
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param c - buffer holding input/output vector c
+ * param inc_c - stride of vector c
+ */
+static void zgemv_n_trusted(char trans, blasint m, blasint n, double *alpha, double *a,
+                          blasint lda, double *b, blasint inc_b, double *beta, double *c,
+                          blasint inc_c)
+{
+	blasint i, j;
+    blasint i2 = 0;
+	blasint ib = 0, ic = 0;
+
+    double temp_r, temp_i;
+
+	double *a_ptr = a;
+    blasint lda2 = 2*lda;
+
+	blasint inc_b2 = 2 * inc_b;
+    blasint inc_c2 = 2 * inc_c;
+
+    BLASFUNC(zscal)(&m, beta, c, &inc_c);
+
+	for (j = 0; j < n; j++)
+	{
+
+        if (trans == 'N' || trans == 'R') {
+            temp_r = alpha[0] * b[ib] - alpha[1] * b[ib+1];
+            temp_i = alpha[0] * b[ib+1] + alpha[1] * b[ib];
+        } else {
+            temp_r = alpha[0] * b[ib] + alpha[1] * b[ib+1];
+            temp_i = alpha[0] * b[ib+1] - alpha[1] * b[ib];
+        }
+
+		ic = 0;
+		i2 = 0;
+
+		for (i = 0; i < m; i++)
+		{
+                if (trans == 'N') {
+                    c[ic] += temp_r * a_ptr[i2] - temp_i * a_ptr[i2+1];
+                    c[ic+1] += temp_r * a_ptr[i2+1] + temp_i * a_ptr[i2];
+                } 
+                if (trans == 'O') {
+                    c[ic] += temp_r * a_ptr[i2] + temp_i * a_ptr[i2+1];
+                    c[ic+1] += temp_r * a_ptr[i2+1] - temp_i * a_ptr[i2];
+                }
+                if (trans == 'R') {
+                    c[ic] += temp_r * a_ptr[i2] + temp_i * a_ptr[i2+1];
+                    c[ic+1] -= temp_r * a_ptr[i2+1] - temp_i * a_ptr[i2];
+                }
+                if (trans == 'S') {
+                    c[ic] += temp_r * a_ptr[i2] - temp_i * a_ptr[i2+1];
+                    c[ic+1] -= temp_r * a_ptr[i2+1] + temp_i * a_ptr[i2];
+                }
+			i2 += 2;
+			ic += inc_c2;
+		}
+		a_ptr += lda2;
+		ib += inc_b2;
+	}
+
+}
+
+/**
+ * Comapare results computed by zgemv and zgemv_n_trusted
+ *
+ * param trans specifies whether matris A is conj or/and xconj
+ * param m - number of rows of A
+ * param n - number of columns of A
+ * param alpha - scaling factor for the matrib-vector product
+ * param lda - leading dimension of matrix A
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param inc_c - stride of vector c
+ * return norm of differences
+ */
+static double check_zgemv_n(char trans, blasint m, blasint n, double *alpha, blasint lda, 
+                            blasint inc_b, double *beta, blasint inc_c)
+{
+    blasint i;
+
+    drand_generate(data_zgemv_n.a_test, n * lda);
+    drand_generate(data_zgemv_n.b_test, 2 * n * inc_b);
+    drand_generate(data_zgemv_n.c_test, 2 * m * inc_c);
+
+    for (i = 0; i < m * 2 * inc_c; i++)
+        data_zgemv_n.c_verify[i] = data_zgemv_n.c_test[i];
+
+    zgemv_n_trusted(trans, m, n, alpha, data_zgemv_n.a_test, lda, data_zgemv_n.b_test, 
+                  inc_b, beta, data_zgemv_n.c_test, inc_c);
+    BLASFUNC(zgemv)(&trans, &m, &n, alpha, data_zgemv_n.a_test, &lda, data_zgemv_n.b_test, 
+                    &inc_b, beta, data_zgemv_n.c_verify, &inc_c);
+
+    for (i = 0; i < m * 2 * inc_c; i++)
+        data_zgemv_n.c_verify[i] -= data_zgemv_n.c_test[i];
+
+    return BLASFUNC(dznrm2)(&n, data_zgemv_n.c_verify, &inc_c);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zgemv, trans_o_square_matrix)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'O';
+    double alpha[] = {2.0, -1.0};
+    double beta[] = {1.4, 5.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows of A is 50
+ * Number of colums of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zgemv, trans_o_rectangular_matrix_rows_less_then_cols)
+{
+    blasint n = 100, m = 50, lda = 50;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'O';
+    double alpha[] = {2.0, -1.0};
+    double beta[] = {1.4, 5.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows of A is 100
+ * Number of colums of A is 50
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zgemv, trans_o_rectangular_matrix_cols_less_then_rows)
+{
+    blasint n = 50, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'O';
+    double alpha[] = {2.0, -1.0};
+    double beta[] = {1.4, 5.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(zgemv, trans_o_double_strides)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 2, inc_c = 2;
+    char trans = 'O';
+    double alpha[] = {2.0, -1.0};
+    double beta[] = {1.4, 5.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zgemv, trans_s_square_matrix)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'S';
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.4, 5.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows of A is 50
+ * Number of colums of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zgemv, trans_s_rectangular_matrix_rows_less_then_cols)
+{
+    blasint n = 100, m = 50, lda = 50;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'S';
+    double alpha[] = {2.0, -1.0};
+    double beta[] = {1.4, 5.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows of A is 100
+ * Number of colums of A is 50
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zgemv, trans_s_rectangular_matrix_cols_less_then_rows)
+{
+    blasint n = 50, m = 100, lda = 100;
+    blasint inc_b = 1, inc_c = 1;
+    char trans = 'S';
+    double alpha[] = {2.0, -1.0};
+    double beta[] = {1.4, 0.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zgemv by comparing it against reference
+ * with the following options:
+ *
+ * A is xconj and conj
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(zgemv, trans_s_double_strides)
+{
+    blasint n = 100, m = 100, lda = 100;
+    blasint inc_b = 2, inc_c = 2;
+    char trans = 'S';
+    double alpha[] = {2.0, -1.0};
+    double beta[] = {1.0, 5.0};
+
+    double norm = check_zgemv_n(trans, m, n, alpha, lda, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+#endif

utest/test_extensions/test_zimatcopy.c

@@ -0,0 +1,850 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_ZIMATCOPY {
+    double a_test[DATASIZE * DATASIZE * 2];
+    double a_verify[DATASIZE * DATASIZE * 2];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZIMATCOPY data_zimatcopy;
+
+/**
+ * Comapare results computed by zimatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param alpha specifies scaling factor for matrix A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * return norm of difference between openblas and reference func
+ */
+static double check_zimatcopy(char api, char order, char trans, blasint rows, blasint cols, double *alpha, 
+                             blasint lda_src, blasint lda_dst)
+{
+    blasint m, n;
+    blasint rows_out, cols_out;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+    int conj = -1;
+
+    if (order == 'C') {
+        n = rows; m = cols;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        rows_out = n; cols_out = m*2;
+        if (trans == 'C')
+            conj = 1;
+    }
+    else {
+        rows_out = m; cols_out = n*2;
+        if (trans == 'R')
+            conj = 1;
+    }
+
+    drand_generate(data_zimatcopy.a_test, lda_src*m*2);
+
+    if (trans == 'T' || trans == 'C') {
+        ztranspose(m, n, alpha, data_zimatcopy.a_test, lda_src, data_zimatcopy.a_verify, lda_dst, conj);
+    } 
+    else {
+        zcopy(m, n, alpha, data_zimatcopy.a_test, lda_src, data_zimatcopy.a_verify, lda_dst, conj);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(zimatcopy)(&order, &trans, &rows, &cols, alpha, data_zimatcopy.a_test, 
+                            &lda_src, &lda_dst);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_zimatcopy(corder, ctrans, rows, cols, alpha, data_zimatcopy.a_test, 
+                    lda_src, lda_dst);
+    }
+
+    // Find the differences between output matrix computed by zimatcopy and reference func
+    return dmatrix_difference(data_zimatcopy.a_test, data_zimatcopy.a_verify, cols_out, rows_out, lda_dst*2);    
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation 
+ * applied to the matrix A
+ * param rows specifies number of rows of A
+ * param cols specifies number of columns of A
+ * param lda_src - leading dimension of the matrix A
+ * param lda_dst - leading dimension of output matrix A
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda_src, blasint lda_dst, int expected_info)
+{
+    double alpha[] = {1.0, 1.0};
+
+    set_xerbla("ZIMATCOPY", expected_info);
+
+    BLASFUNC(zimatcopy)(&order, &trans, &rows, &cols, alpha, data_zimatcopy.a_test, 
+                        &lda_src, &lda_dst);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha_r = -3.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha[] = {-3.0, 1.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'R';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, colmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'C';
+    double alpha[] = {2.0, 1.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, colmajor_notrans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'C';
+    char trans = 'N';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, colmajor_conjtrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'C';
+    double alpha[] = {1.0, 1.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, colmajor_conj_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'C';
+    char trans = 'R';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha_r = 2.0, alpha_i = 3.0
+ */
+CTEST(zimatcopy, rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha[] = {2.0, 3.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'R';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'C';
+    double alpha[] = {2.0, 1.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Rectangular matrix
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    double alpha[] = {2.0, 1.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Rectangular matrix
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, rowmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zimatcopy, rowmajor_conj_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 50;
+    char order = 'R';
+    char trans = 'R'; 
+    double alpha[] = {1.5, -1.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, rowmajor_conjtrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'C';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('F', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 3.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, c_api_colmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    double alpha[] = {3.0, 2.0};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * Square matrix
+ * alpha_r = 3.0, alpha_i = 1.5
+ */
+CTEST(zimatcopy, c_api_colmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha[] = {3.0, 1.5};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * Square matrix
+ * alpha_r = 3.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, c_api_rowmajor_trans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    double alpha[] = {3.0, 1.0};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, c_api_colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'R';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, c_api_colmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'C';
+    double alpha[] = {2.0, 1.0};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * Square matrix
+ * alpha_r = 1.0, alpha_i = 1.0
+ */
+CTEST(zimatcopy, c_api_rowmajor_notrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'N';
+    double alpha[] = {1.0, 1.0};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zimatcopy, c_api_rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'R'; 
+    double alpha[] = {1.5, -1.0};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zimatcopy by comparing it against reference
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zimatcopy, c_api_rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'R';
+    char trans = 'C';
+    double alpha[] = {1.0, 2.0};
+
+    double norm = check_zimatcopy('C', order, trans, m, n, alpha, lda_src, lda_dst);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test error function for an invalid param order.
+ * Must be column (C) or row major (R).
+ */
+CTEST(zimatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param trans.
+ * Must be trans (T/C) or no-trans (N/R).
+ */
+CTEST(zimatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda_src = 100, lda_dst = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param m.
+ * Must be positive.
+ */
+CTEST(zimatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda_src = 0, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param n.
+ * Must be positive.
+ */
+CTEST(zimatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda_src = 100, lda_dst = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using row major layout, 
+ * lda_src must be at least n.
+ */
+CTEST(zimatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_src.
+ * If matrices are stored using column major layout,
+ * lda_src must be at least m.
+ */
+CTEST(zimatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 50, lda_dst = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is no transposition, lda_dst must be at least n.
+ */
+CTEST(zimatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using row major layout and 
+ * there is transposition, lda_dst must be at least m.
+ */
+CTEST(zimatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is no transposition, lda_dst must be at least m.
+ */
+CTEST(zimatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda_dst.
+ * If matrices are stored using column major layout and 
+ * there is transposition, lda_dst must be at least n.
+ */
+CTEST(zimatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda_src = 100, lda_dst = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda_src, lda_dst, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_zomatcopy.c

@@ -0,0 +1,745 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+
+struct DATA_ZOMATCOPY {
+    double a_test[DATASIZE * DATASIZE * 2];
+    double b_test[DATASIZE * DATASIZE * 2];
+    double b_verify[DATASIZE * DATASIZE * 2];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZOMATCOPY data_zomatcopy;
+
+/**
+ * Comapare results computed by zomatcopy and reference func
+ *
+ * param api specifies tested api (C or Fortran)
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param alpha - scaling factor for matrix B
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * return norm of difference between openblas and reference func
+ */
+static double check_zomatcopy(char api, char order, char trans, blasint rows, blasint cols, double* alpha, 
+                             blasint lda, blasint ldb)
+{
+    blasint b_rows, b_cols;
+    blasint m, n;
+    enum CBLAS_ORDER corder;
+    enum CBLAS_TRANSPOSE ctrans;
+    int conj = -1;
+
+    if (order == 'C') {
+        m = cols; n = rows;
+    }
+    else {
+        m = rows; n = cols;
+    }
+
+    if(trans == 'T' || trans == 'C') {
+        b_rows = n; b_cols = m*2;
+        if (trans == 'C')
+            conj = 1;
+    }
+    else {
+        b_rows = m; b_cols = n*2;
+        if (trans == 'R')
+            conj = 1;
+    }
+
+    drand_generate(data_zomatcopy.a_test, lda*m*2);
+
+    if (trans == 'T' || trans == 'C') {
+        ztranspose(m, n, alpha, data_zomatcopy.a_test, lda, data_zomatcopy.b_verify, ldb, conj);
+    } 
+    else {
+        zcopy(m, n, alpha, data_zomatcopy.a_test, lda, data_zomatcopy.b_verify, ldb, conj);
+    }
+
+    if (api == 'F') {
+        BLASFUNC(zomatcopy)(&order, &trans, &rows, &cols, alpha, data_zomatcopy.a_test, 
+                            &lda, data_zomatcopy.b_test, &ldb);
+    }
+    else {
+        if (order == 'C') corder = CblasColMajor;
+        if (order == 'R') corder = CblasRowMajor;
+        if (trans == 'T') ctrans = CblasTrans;
+        if (trans == 'N') ctrans = CblasNoTrans;
+        if (trans == 'C') ctrans = CblasConjTrans;
+        if (trans == 'R') ctrans = CblasConjNoTrans;
+        cblas_zomatcopy(corder, ctrans, rows, cols, alpha, data_zomatcopy.a_test, 
+                    lda, data_zomatcopy.b_test, ldb);
+    }
+    
+    return dmatrix_difference(data_zomatcopy.b_test, data_zomatcopy.b_verify, b_cols, b_rows, ldb*2);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param order specifies row or column major order
+ * param trans specifies op(A), the transposition operation
+ * applied to the matrix A
+ * param rows - number of rows of A
+ * param cols - number of columns of A
+ * param lda - leading dimension of the matrix A
+ * param ldb - leading dimension of the matrix B
+ * param expected_info - expected invalid parameter number
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char order, char trans, blasint rows, blasint cols,
+                          blasint lda, blasint ldb, int expected_info)
+{
+    double alpha[] = {1.0, 1.0};
+
+    set_xerbla("ZOMATCOPY", expected_info);
+
+    BLASFUNC(zomatcopy)(&order, &trans, &rows, &cols, alpha, data_zomatcopy.a_test, 
+                        &lda, data_zomatcopy.b_test, &ldb);
+
+    return check_error();
+}
+
+/**
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha[] = {1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * alpha_r = -1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    double alpha[] = {-1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'R';
+    double alpha[] = {1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(zomatcopy, colmajor_conjtrnas_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'C';
+    double alpha[] = {2.0, 1.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zomatcopy, rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    double alpha[] = {1.5, -1.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zomatcopy, rowmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    double alpha[] = {1.5, -1.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zomatcopy, rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'R'; 
+    double alpha[] = {1.5, -1.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'C';
+    double alpha[] = {1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('F', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy only
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, c_api_colmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'N';
+    double alpha[] = {1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition
+ * alpha_r = -1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, c_api_colmajor_trans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    double alpha[] = {-1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Copy and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, c_api_colmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'R';
+    double alpha[] = {1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Column Major
+ * Transposition and conjugate
+ * alpha_r = 2.0, alpha_i = 1.0
+ */
+CTEST(zomatcopy, c_api_colmajor_conjtrnas_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'C';
+    double alpha[] = {2.0, 1.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy only
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zomatcopy, c_api_rowmajor_notrans_col_50_row_100)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 50;
+    char order = 'R';
+    char trans = 'N'; 
+    double alpha[] = {1.5, -1.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zomatcopy, c_api_rowmajor_trans_col_100_row_50)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    double alpha[] = {1.5, -1.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Copy and conjugate
+ * alpha_r = 1.5, alpha_i = -1.0
+ */
+CTEST(zomatcopy, c_api_rowmajor_conj_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'R'; 
+    double alpha[] = {1.5, -1.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zomatcopy by comparing it against refernce
+ * with the following options:
+ *
+ * Row Major
+ * Transposition and conjugate
+ * alpha_r = 1.0, alpha_i = 2.0
+ */
+CTEST(zomatcopy, c_api_rowmajor_conjtrans_col_100_row_100)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'R';
+    char trans = 'C';
+    double alpha[] = {1.0, 2.0};
+    double norm;
+
+    norm = check_zomatcopy('C', order, trans, m, n, alpha, lda, ldb);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+* Test error function for an invalid param order.
+* Must be column (C) or row major (R).
+*/
+CTEST(zomatcopy, xerbla_invalid_order)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'O';
+    char trans = 'T';
+    int expected_info = 1;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param trans.
+* Must be trans (T/C) or no-trans (N/R).
+*/
+CTEST(zomatcopy, xerbla_invalid_trans)
+{
+    blasint m = 100, n = 100;
+    blasint lda = 100, ldb = 100;
+    char order = 'C';
+    char trans = 'O';
+    int expected_info = 2;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param m.
+* Must be positive.
+*/
+CTEST(zomatcopy, xerbla_invalid_rows)
+{
+    blasint m = 0, n = 100;
+    blasint lda = 0, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 3;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param n.
+* Must be positive.
+*/
+CTEST(zomatcopy, xerbla_invalid_cols)
+{
+    blasint m = 100, n = 0;
+    blasint lda = 100, ldb = 0;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 4;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param lda.
+* If matrices are stored using row major layout, 
+* lda must be at least n.
+*/
+CTEST(zomatcopy, xerbla_rowmajor_invalid_lda)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 50, ldb = 100;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param lda.
+* If matrices are stored using column major layout,
+* lda must be at least m.
+*/
+CTEST(zomatcopy, xerbla_colmajor_invalid_lda)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 50, ldb = 100;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 7;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using row major layout and 
+* there is no transposition, ldb must be at least n.
+*/
+CTEST(zomatcopy, xerbla_rowmajor_notrans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using row major layout and 
+* there is transposition, ldb must be at least m.
+*/
+CTEST(zomatcopy, xerbla_rowmajor_trans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using row major layout and 
+* there is no transposition, ldb must be at least n.
+*/
+CTEST(zomatcopy, xerbla_rowmajor_conj_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'R';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using row major layout and 
+* there is transposition, ldb must be at least m.
+*/
+CTEST(zomatcopy, xerbla_rowmajor_transconj_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'R';
+    char trans = 'C';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using column major layout and 
+* there is no transposition, ldb must be at least m.
+*/
+CTEST(zomatcopy, xerbla_colmajor_notrans_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'N';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using column major layout and 
+* there is transposition, ldb must be at least n.
+*/
+CTEST(zomatcopy, xerbla_colmajor_trans_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'T';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using column major layout and 
+* there is no transposition, ldb must be at least m.
+*/
+CTEST(zomatcopy, xerbla_colmajor_conj_invalid_ldb)
+{
+    blasint m = 100, n = 50;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'R';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+* Test error function for an invalid param ldb.
+* If matrices are stored using column major layout and 
+* there is transposition, ldb must be at least n.
+*/
+CTEST(zomatcopy, xerbla_colmajor_transconj_invalid_ldb)
+{
+    blasint m = 50, n = 100;
+    blasint lda = 100, ldb = 50;
+    char order = 'C';
+    char trans = 'C';
+    int expected_info = 9;
+
+    int passed = check_badargs(order, trans, m, n, lda, ldb, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_zrot.c

@@ -0,0 +1,790 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZROT {
+    double x_test[DATASIZE * INCREMENT * 2];
+    double y_test[DATASIZE * INCREMENT * 2];
+    double x_verify[DATASIZE * INCREMENT * 2];
+    double y_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZROT data_zrot;
+
+/**
+ * Comapare results computed by zdrot and zaxpby 
+ * 
+ * param n specifies size of vector x
+ * param inc_x specifies increment of vector x
+ * param inc_y specifies increment of vector y
+ * param c specifies cosine
+ * param s specifies sine
+ * return norm of differences 
+ */
+static double check_zdrot(blasint n, blasint inc_x, blasint inc_y, double *c, double *s)
+{
+    blasint i;
+    double norm = 0;
+    double s_neg[] = {-s[0], s[1]};
+
+    blasint inc_x_abs = labs(inc_x);
+    blasint inc_y_abs = labs(inc_y);
+
+    // Fill vectors x, y
+    drand_generate(data_zrot.x_test, n * inc_x_abs * 2);
+    drand_generate(data_zrot.y_test, n * inc_y_abs * 2);
+
+    if (inc_x == 0 && inc_y == 0) {
+        drand_generate(data_zrot.x_test, n * 2);
+        drand_generate(data_zrot.y_test, n * 2);
+    }
+
+    // Copy vector x for zaxpby
+    for (i = 0; i < n * inc_x_abs * 2; i++)
+        data_zrot.x_verify[i] = data_zrot.x_test[i];
+
+    // Copy vector y for zaxpby
+    for (i = 0; i < n * inc_y_abs * 2; i++)
+        data_zrot.y_verify[i] = data_zrot.y_test[i];
+    
+    // Find cx = c*x + s*y
+    BLASFUNC(zaxpby)(&n, s, data_zrot.y_test, &inc_y, c, data_zrot.x_verify, &inc_x);
+
+    // Find cy = -conjg(s)*x + c*y
+    BLASFUNC(zaxpby)(&n, s_neg, data_zrot.x_test, &inc_x, c, data_zrot.y_verify, &inc_y);
+
+    BLASFUNC(zdrot)(&n, data_zrot.x_test, &inc_x, data_zrot.y_test, &inc_y, c, s);
+
+    // Find the differences between vector x caculated by zaxpby and zdrot
+    for (i = 0; i < n * 2 * inc_x_abs; i++)
+        data_zrot.x_test[i] -= data_zrot.x_verify[i];
+
+    // Find the differences between vector y caculated by zaxpby and zdrot
+    for (i = 0; i < n * 2 * inc_y_abs; i++)
+        data_zrot.y_test[i] -= data_zrot.y_verify[i];
+
+    // Find the norm of differences
+    norm += BLASFUNC(dznrm2)(&n, data_zrot.x_test, &inc_x_abs);
+    norm += BLASFUNC(dznrm2)(&n, data_zrot.y_test, &inc_y_abs);
+    return (norm / 2);
+}
+
+/**
+ * C API specific function
+ * Comapare results computed by zdrot and zaxpby 
+ * 
+ * param n specifies size of vector x
+ * param inc_x specifies increment of vector x
+ * param inc_y specifies increment of vector y
+ * param c specifies cosine
+ * param s specifies sine
+ * return norm of differences 
+ */
+static double c_api_check_zdrot(blasint n, blasint inc_x, blasint inc_y, double *c, double *s)
+{
+    blasint i;
+    double norm = 0;
+    double s_neg[] = {-s[0], s[1]};
+
+    blasint inc_x_abs = labs(inc_x);
+    blasint inc_y_abs = labs(inc_y);
+
+    // Fill vectors x, y
+    drand_generate(data_zrot.x_test, n * inc_x_abs * 2);
+    drand_generate(data_zrot.y_test, n * inc_y_abs * 2);
+
+    if (inc_x == 0 && inc_y == 0) {
+        drand_generate(data_zrot.x_test, n * 2);
+        drand_generate(data_zrot.y_test, n * 2);
+    }
+
+    // Copy vector x for zaxpby
+    for (i = 0; i < n * inc_x_abs * 2; i++)
+        data_zrot.x_verify[i] = data_zrot.x_test[i];
+
+    // Copy vector y for zaxpby
+    for (i = 0; i < n * inc_y_abs * 2; i++)
+        data_zrot.y_verify[i] = data_zrot.y_test[i];
+    
+    // Find cx = c*x + s*y
+    cblas_zaxpby(n, s, data_zrot.y_test, inc_y, c, data_zrot.x_verify, inc_x);
+
+    // Find cy = -conjg(s)*x + c*y
+    cblas_zaxpby(n, s_neg, data_zrot.x_test, inc_x, c, data_zrot.y_verify, inc_y);
+
+    cblas_zdrot(n, data_zrot.x_test, inc_x, data_zrot.y_test, inc_y, c[0], s[0]);
+
+    // Find the differences between vector x caculated by zaxpby and zdrot
+    for (i = 0; i < n * 2 * inc_x_abs; i++)
+        data_zrot.x_test[i] -= data_zrot.x_verify[i];
+
+    // Find the differences between vector y caculated by zaxpby and zdrot
+    for (i = 0; i < n * 2 * inc_y_abs; i++)
+        data_zrot.y_test[i] -= data_zrot.y_verify[i];
+
+    // Find the norm of differences
+    norm += cblas_dznrm2(n, data_zrot.x_test, inc_x_abs);
+    norm += cblas_dznrm2(n, data_zrot.y_test, inc_y_abs);
+    return (norm / 2);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 0
+ * Stride of vector y is 0
+ * c = 1.0
+ * s = 2.0
+ */
+CTEST(zrot, inc_x_0_inc_y_0)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 0;
+    blasint inc_y = 0;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {2.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, inc_x_1_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is -1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, inc_x_neg_1_inc_y_neg_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -1;
+    blasint inc_y = -1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * c = 3.0
+ * s = 2.0
+ */
+CTEST(zrot, inc_x_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {3.0, 0.0};
+    double s[] = {2.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is 1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, inc_x_neg_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, inc_x_1_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is -2
+ * c = 2.0
+ * s = 1.0
+ */
+CTEST(zrot, inc_x_1_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = -2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {2.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 2.0
+ */
+CTEST(zrot, inc_x_2_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {2.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, inc_x_neg_2_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = -2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 0.0
+ * s = 1.0
+ */
+CTEST(zrot, inc_x_2_inc_y_2_c_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {0.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 0.0
+ */
+CTEST(zrot, inc_x_2_inc_y_2_s_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {0.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 0
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, check_n_zero)
+{
+    blasint n = 0;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test 
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 0
+ * Stride of vector y is 0
+ * c = 1.0
+ * s = 2.0
+ */
+CTEST(zrot, c_api_inc_x_0_inc_y_0)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 0;
+    blasint inc_y = 0;
+
+    // Imaginary  part for zaxpby
+    double c[] = {3.0, 0.0};
+    double s[] = {2.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_inc_x_1_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -1
+ * Stride of vector y is -1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_inc_x_neg_1_inc_y_neg_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -1;
+    blasint inc_y = -1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 1
+ * c = 3.0
+ * s = 2.0
+ */
+CTEST(zrot, c_api_inc_x_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {3.0, 0.0};
+    double s[] = {2.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is -2
+ * Stride of vector y is 1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_inc_x_neg_2_inc_y_1)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_inc_x_1_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 1
+ * Stride of vector y is -2
+ * c = 2.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_inc_x_1_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 1;
+    blasint inc_y = -2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {2.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 2.0
+ */
+CTEST(zrot, c_api_inc_x_2_inc_y_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {2.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_inc_x_neg_2_inc_y_neg_2)
+{
+    blasint n = 100;
+    
+    blasint inc_x = -2;
+    blasint inc_y = -2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 0.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_inc_x_2_inc_y_2_c_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {0.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 100
+ * Stride of vector x is 2
+ * Stride of vector y is 2
+ * c = 1.0
+ * s = 0.0
+ */
+CTEST(zrot, c_api_inc_x_2_inc_y_2_s_zero)
+{
+    blasint n = 100;
+    
+    blasint inc_x = 2;
+    blasint inc_y = 2;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {0.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrot by comparing it with zaxpby.
+ * Test with the following options:
+ * 
+ * Size of vectors x, y is 0
+ * Stride of vector x is 1
+ * Stride of vector y is 1
+ * c = 1.0
+ * s = 1.0
+ */
+CTEST(zrot, c_api_check_n_zero)
+{
+    blasint n = 0;
+    
+    blasint inc_x = 1;
+    blasint inc_y = 1;
+
+    // Imaginary  part for zaxpby
+    double c[] = {1.0, 0.0};
+    double s[] = {1.0, 0.0};
+
+    double norm = c_api_check_zdrot(n, inc_x, inc_y, c, s);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_zrotg.c

@@ -0,0 +1,290 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+
+#ifdef BUILD_COMPLEX16
+
+/**
+ * Fortran API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, zero_a)
+{
+    double sa[2] = {0.0, 0.0};
+    double sb[2] = {1.0, 1.0};
+    double ss[2];
+    double sc;
+    BLASFUNC(zrotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.0, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific tests
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, zero_b)
+{
+    double sa[2] = {1.0, 1.0};
+    double sb[2] = {0.0, 0.0};
+    double ss[2];
+    double sc;
+    BLASFUNC(zrotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(1.0, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, zero_real)
+{
+    double sa[2] = {0.0, 1.0};
+    double sb[2] = {0.0, 1.0};
+    double ss[2];
+    double sc;
+    BLASFUNC(zrotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.70710678118654, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.70710678118654, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.41421356237309, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, positive_real_positive_img)
+{
+    double sa[2] = {3.0, 4.0};
+    double sb[2] = {4.0, 6.0};
+    double ss[2];
+    double sc;
+    BLASFUNC(zrotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997150991369, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, negative_real_positive_img)
+{
+    double sa[2] = {-3.0, 4.0};
+    double sb[2] = {-4.0, 6.0};
+    double ss[2];
+    double sc;
+    BLASFUNC(zrotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997150991369, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, positive_real_negative_img)
+{
+    double sa[2] = {3.0, -4.0};
+    double sb[2] = {4.0, -6.0};
+    double ss[2];
+    double sc;
+    BLASFUNC(zrotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997150991369, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, negative_real_negative_img)
+{
+    double sa[2] = {-3.0, -4.0};
+    double sb[2] = {-4.0, -6.0};
+    double ss[2];
+    double sc;
+    BLASFUNC(zrotg)(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997150991369, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, c_api_zero_a)
+{
+    double sa[2] = {0.0, 0.0};
+    double sb[2] = {1.0, 1.0};
+    double ss[2];
+    double sc;
+    cblas_zrotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.0, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, c_api_zero_b)
+{
+    double sa[2] = {1.0, 1.0};
+    double sb[2] = {0.0, 0.0};
+    double ss[2];
+    double sc;
+    cblas_zrotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(1.0, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.0, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, c_api_zero_real)
+{
+    double sa[2] = {0.0, 1.0};
+    double sb[2] = {0.0, 1.0};
+    double ss[2];
+    double sc;
+    cblas_zrotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.70710678118654, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.70710678118654, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.0, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(1.41421356237309, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, c_api_positive_real_positive_img)
+{
+    double sa[2] = {3.0, 4.0};
+    double sb[2] = {4.0, 6.0};
+    double ss[2];
+    double sc;
+    cblas_zrotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997150991369, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, c_api_negative_real_positive_img)
+{
+    double sa[2] = {-3.0, 4.0};
+    double sb[2] = {-4.0, 6.0};
+    double ss[2];
+    double sc;
+    cblas_zrotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(7.01997150991369, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, c_api_positive_real_negative_img)
+{
+    double sa[2] = {3.0, -4.0};
+    double sb[2] = {4.0, -6.0};
+    double ss[2];
+    double sc;
+    cblas_zrotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997150991369, sa[1], DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zrotg by comparing it against pre-calculated values
+ */
+CTEST(zrotg, c_api_negative_real_negative_img)
+{
+    double sa[2] = {-3.0, -4.0};
+    double sb[2] = {-4.0, -6.0};
+    double ss[2];
+    double sc;
+    cblas_zrotg(sa, sb, &sc, ss);
+    ASSERT_DBL_NEAR_TOL(0.56980288229818, sc, DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(0.82051615050939, ss[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-0.04558423058385, ss[1], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-5.26497863243527, sa[0], DOUBLE_EPS);
+    ASSERT_DBL_NEAR_TOL(-7.01997150991369, sa[1], DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_zsbmv.c

@@ -0,0 +1,606 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZSBMV {
+    double sp_matrix[DATASIZE * (DATASIZE + 1)];
+    double sb_matrix[DATASIZE * DATASIZE * 2];
+    double b_test[DATASIZE * 2 * INCREMENT];
+    double c_test[DATASIZE * 2 * INCREMENT];
+    double c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+// DOUBLE_EPS_ZGEMV = MAX_VAL * NUMBER OF OPERATIONS * DBL_EPSILON
+// DOUBLE_EPS_ZGEMV = 5.0 * O(100 * 100) * 2.2e-16 = 1e-11
+#define DOUBLE_EPS_ZGEMV 1e-11
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZSBMV data_zsbmv;
+
+/** 
+ * Transform full-storage symmetric band matrix A to upper (U) or lower (L)
+ * band-packed storage mode.
+ * 
+ * param uplo specifies whether matrix a is upper or lower band-packed.
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ * output param a - buffer for holding symmetric band-packed matrix
+ * param lda - specifies the leading dimension of a
+ * param sb_matrix - buffer holding full-storage symmetric band matrix A 
+ * param ldm - specifies the leading dimension of A
+ */
+static void transform_to_band_storage(char uplo, blasint n, blasint k, double* a, blasint lda,
+                                     double* sb_matrix, blasint ldm) 
+{
+    blasint i, j, m;
+    if (uplo == 'L') {
+        for (j = 0; j < n; j++)
+        {
+            m = -j;
+            for (i = 2 * j; i < MIN(2 * n, 2 * (j + k + 1)); i += 2)
+            {
+                a[(2*m + i) + j * lda * 2] = sb_matrix[i + j * ldm * 2];
+                a[(2*m + (i + 1)) + j * lda * 2] = sb_matrix[(i + 1) + j * ldm * 2];
+            }
+        }
+    }
+    else {
+        for (j = 0; j < n; j++)
+        {   
+            m = k - j;
+            for (i = MAX(0, 2*(j - k)); i <= j*2; i += 2)
+            {
+                a[(2*m + i) + j * lda * 2] = sb_matrix[i + j * ldm * 2];
+                a[(2*m + (i + 1)) + j * lda * 2] = sb_matrix[(i + 1) + j * ldm * 2];
+            }
+        }
+    }
+}
+
+/** 
+ * Generate full-storage symmetric band matrix A with k - super-diagonals
+ * from input symmetric packed matrix in lower packed mode (L)
+ * 
+ * output param sb_matrix - buffer for holding full-storage symmetric band matrix.
+ * param sp_matrix - buffer holding input symmetric packed matrix
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ */
+static void get_symmetric_band_matr(double *sb_matrix, double *sp_matrix, blasint n, blasint k)
+{
+    blasint m;
+    blasint i, j;
+    m = 0;
+    for (i = 0; i < n; i++)
+    {
+        for (j = 0; j < n * 2; j += 2)
+        {
+            // Make matrix band with k super-diagonals
+            if (fabs((i+1) - ceil((j+1)/2.0)) > k) 
+            {
+                sb_matrix[i * n * 2 + j] = 0.0;
+                sb_matrix[i * n * 2 + j + 1] = 0.0;
+                continue;
+            }
+
+            if (j / 2 < i)
+            {
+                sb_matrix[i * n * 2 + j] = 
+                        sb_matrix[j * n + i * 2];
+                sb_matrix[i * n * 2 + j + 1] = 
+                        sb_matrix[j * n + i * 2 + 1];
+            }
+            else
+            {
+                sb_matrix[i * n * 2 + j] = sp_matrix[m++];
+                sb_matrix[i * n * 2 + j + 1] = sp_matrix[m++];
+            }
+        }
+    }
+}
+
+/** 
+ * Check if error function was called with expected function name
+ * and param info
+ * 
+ * param uplo specifies whether matrix a is upper or lower band-packed.
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ * param lda - specifies the leading dimension of a
+ * param inc_b - stride of vector b_test
+ * param inc_c - stride of vector c_test
+ * param expected_info - expected invalid parameter number in zsbmv
+ * return TRUE if everything is ok, otherwise FALSE 
+ */
+static int check_badargs(char uplo, blasint n, blasint k, blasint lda, blasint inc_b,
+                          blasint inc_c, int expected_info)
+{
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double a[2];
+    drand_generate(a, 2);
+
+    set_xerbla("ZSBMV ", expected_info);
+
+    BLASFUNC(zsbmv)(&uplo, &n, &k, alpha, a, &lda, data_zsbmv.b_test, 
+                    &inc_b, beta, data_zsbmv.c_test, &inc_c);
+
+    return check_error();
+}
+
+/**
+ * Comapare results computed by zsbmv and zgemv 
+ * since zsbmv is zgemv for symmetric band matrix
+ * 
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param k - number of super-diagonals of A
+ * param alpha - scaling factor for the matrix-vector product
+ * param lda - specifies the leading dimension of a
+ * param inc_b - stride of vector b_test
+ * param beta - scaling factor for vector c_test
+ * param inc_c - stride of vector c_test
+ * param lda - specifies the leading dimension of a
+ * return norm of differences 
+ */
+static double check_zsbmv(char uplo, blasint n, blasint k, double *alpha, blasint lda, 
+    blasint inc_b, double *beta, blasint inc_c, blasint ldm)
+{
+    blasint i;
+
+    // Trans param for gemv (can use any, since the input matrix is symmetric)
+    char trans = 'N';
+
+    // Symmetric band packed matrix for sbmv
+    double a[lda * n * 2];
+
+    // Fill symmetric packed matrix sp_matrix, vector b_test, vector c_test 
+    drand_generate(data_zsbmv.sp_matrix, n * (n + 1));
+    drand_generate(data_zsbmv.b_test, n * inc_b * 2);
+    drand_generate(data_zsbmv.c_test, n * inc_c * 2);
+
+    // Copy vector c_test for zgemv
+    for (i = 0; i < n * inc_c * 2; i++)
+        data_zsbmv.c_verify[i] = data_zsbmv.c_test[i];
+
+    // Generate full-storage symmetric band matrix
+    // with k super-diagonals from symmetric packed matrix
+    get_symmetric_band_matr(data_zsbmv.sb_matrix, data_zsbmv.sp_matrix, n, k);
+
+    // Transform symmetric band matrix from conventional
+    // full matrix storage  to band storage for zsbmv
+    transform_to_band_storage(uplo, n, k, a, lda, data_zsbmv.sb_matrix, ldm);
+
+    BLASFUNC(zgemv)(&trans, &n, &n, alpha, data_zsbmv.sb_matrix, &ldm, data_zsbmv.b_test,
+                    &inc_b, beta, data_zsbmv.c_verify, &inc_c);
+
+    BLASFUNC(zsbmv)(&uplo, &n, &k, alpha, a, &lda,
+                    data_zsbmv.b_test, &inc_b, beta, data_zsbmv.c_test, &inc_c);
+
+    // Find the differences between output vector caculated by zsbmv and zgemv
+    for (i = 0; i < n * inc_c * 2; i++)
+        data_zsbmv.c_test[i] -= data_zsbmv.c_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(dznrm2)(&n, data_zsbmv.c_test, &inc_c);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 0
+ */
+CTEST(zsbmv, upper_k_0_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 1
+ */
+CTEST(zsbmv, upper_k_1_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 1;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(zsbmv, upper_k_2_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(zsbmv, upper_k_2_inc_b_2_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    double alpha[] = {2.0, 1.0};
+    double beta[] = {2.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is upper-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 2
+ * Number of super-diagonals k is 2
+ */
+CTEST(zsbmv, upper_k_2_inc_b_2_inc_c_2_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 2;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    double alpha[] = {2.0, 1.0};
+    double beta[] = {2.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 0
+ */
+CTEST(zsbmv, lower_k_0_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 1
+ */
+CTEST(zsbmv, lower_k_1_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 1;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 1
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(zsbmv, lower_k_2_inc_b_1_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 1
+ * Number of super-diagonals k is 2
+ */
+CTEST(zsbmv, lower_k_2_inc_b_2_inc_c_1_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 1;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    double alpha[] = {2.0, 1.0};
+    double beta[] = {2.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test zsbmv by comparing it against zgemv
+ * with the following options:
+ * 
+ * a is lower-band-packed symmetric matrix
+ * Number of rows and columns of A is 100
+ * Stride of vector b_test is 2
+ * Stride of vector c_test is 2
+ * Number of super-diagonals k is 2
+ */
+CTEST(zsbmv, lower_k_2_inc_b_2_inc_c_2_n_100)
+{
+    blasint n = DATASIZE, inc_b = 2, inc_c = 2;
+    blasint k = 2;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'L';
+
+    double alpha[] = {2.0, 1.0};
+    double beta[] = {2.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/** 
+ * Check if output matrix a contains any NaNs
+ */
+CTEST(zsbmv, check_for_NaN)
+{
+    blasint n = DATASIZE, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = n;
+    char uplo = 'U';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {1.0, 1.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    
+    ASSERT_TRUE(norm == norm); /* NaN == NaN is false  */
+}
+
+/**
+ * Test error function for an invalid param uplo.
+ * Uplo specifies whether a is in upper (U) or lower (L) band-packed storage mode.
+ */
+CTEST(zsbmv, xerbla_uplo_invalid)
+{
+    blasint n = 1, inc_b = 1, inc_c = 1;
+    char uplo = 'O';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 1;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/** 
+ * Test error function for an invalid param N -
+ * number of rows and columns of A. Must be at least zero.
+ */
+CTEST(zsbmv, xerbla_n_invalid)
+{
+    blasint n = INVALID, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 2;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Check if n - number of rows and columns of A equal zero.
+ */
+CTEST(zsbmv, check_n_zero)
+{
+    blasint n = 0, inc_b = 1, inc_c = 1;
+    blasint k = 0;
+    blasint lda = k + 1;
+    blasint ldm = 1;
+    char uplo = 'U';
+
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zsbmv(uplo, n, k, alpha, lda, inc_b, beta, inc_c, ldm);
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS_ZGEMV);
+}
+
+/**
+ * Test error function for an invalid param inc_b -
+ * stride of vector b_test. Can't be zero. 
+ */
+CTEST(zsbmv, xerbla_inc_b_zero)
+{
+    blasint n = 1, inc_b = 0, inc_c = 1;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 8;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param inc_c -
+ * stride of vector c_test. Can't be zero. 
+ */
+CTEST(zsbmv, xerbla_inc_c_zero)
+{
+    blasint n = 1, inc_b = 1, inc_c = 0;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = k + 1;
+    int expected_info = 11;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param k -
+ * number of super-diagonals of A. Must be at least zero.
+ */
+CTEST(zsbmv, xerbla_k_invalid)
+{
+    blasint n = 1, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    blasint k = INVALID;
+    blasint lda = 1;
+    int expected_info = 3;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param lda -
+ * specifies the leading dimension of a. Must be at least (k+1).
+ */
+CTEST(zsbmv, xerbla_lda_invalid)
+{
+    blasint n = 1, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    blasint k = 0;
+    blasint lda = INVALID;
+    int expected_info = 6;
+
+    int passed = check_badargs(uplo, n, k, lda, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_zscal.c

@@ -0,0 +1,165 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZSCAL {
+    double x_test[DATASIZE * 2 * INCREMENT];
+    double x_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZSCAL data_zscal;
+
+
+/**
+ * zscal reference code
+ *
+ * param n - number of elements of vector x
+ * param alpha - scaling factor for the vector product
+ * param x - buffer holding input vector x
+ * param inc - stride of vector x
+ */
+static void zscal_trusted(blasint n, double *alpha, double* x, blasint inc){
+    blasint i, ip = 0;
+    blasint inc_x2 = 2 * inc;
+    double temp;
+    for (i = 0; i < n; i++)
+	{
+        temp = alpha[0] * x[ip] - alpha[1] * x[ip+1];
+		x[ip+1] = alpha[0] * x[ip+1] + alpha[1] * x[ip];
+        x[ip] = temp;
+        ip += inc_x2;
+    }
+}
+
+/**
+ * Comapare results computed by zscal and zscal_trusted
+ *
+ * param api specifies tested api (C or Fortran)
+ * param n - number of elements of vector x
+ * param alpha - scaling factor for the vector product
+ * param inc - stride of vector x
+ * return norm of differences
+ */
+static double check_zscal(char api, blasint n, double *alpha, blasint inc)
+{
+    blasint i;
+
+    // Fill vectors x
+    drand_generate(data_zscal.x_test, n * inc * 2);
+
+    // Copy vector x for zscal_trusted
+    for (i = 0; i < n * 2 * inc; i++)
+        data_zscal.x_verify[i] = data_zscal.x_test[i];
+
+    zscal_trusted(n, alpha, data_zscal.x_verify, inc);
+
+    if(api == 'F')
+        BLASFUNC(zscal)(&n, alpha, data_zscal.x_test, &inc);
+    else
+        cblas_zscal(n, alpha, data_zscal.x_test, inc);
+
+    // Find the differences between output vector computed by zscal and zscal_trusted
+    for (i = 0; i < n * 2 * inc; i++)
+        data_zscal.x_verify[i] -= data_zscal.x_test[i];
+
+    // Find the norm of differences
+    return BLASFUNC(dznrm2)(&n, data_zscal.x_verify, &inc);
+}
+
+/**
+ * Fortran API specific test
+ * Test zscal by comparing it against reference
+ */
+CTEST(zscal, alpha_r_zero_alpha_i_not_zero)
+{
+    blasint N = DATASIZE;
+    blasint inc = 1;
+    double alpha[2] = {0.0, 1.0};
+
+    double norm = check_zscal('F', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Fortran API specific test
+ * Test zscal by comparing it against reference
+ */
+CTEST(zscal, alpha_r_zero_alpha_i_zero_inc_2)
+{
+    blasint N = DATASIZE;
+    blasint inc = 2;
+    double alpha[2] = {0.0, 0.0};
+
+    double norm = check_zscal('F', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zscal by comparing it against reference
+ */
+CTEST(zscal, c_api_alpha_r_zero_alpha_i_not_zero)
+{
+    blasint N = DATASIZE;
+    blasint inc = 1;
+    double alpha[2] = {0.0, 1.0};
+
+    double norm = check_zscal('C', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * C API specific test
+ * Test zscal by comparing it against reference
+ */
+CTEST(zscal, c_api_alpha_r_zero_alpha_i_zero_inc_2)
+{
+    blasint N = DATASIZE;
+    blasint inc = 2;
+    double alpha[2] = {0.0, 0.0};
+
+    double norm = check_zscal('C', N, alpha, inc);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_zspmv.c

@@ -0,0 +1,427 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include "common.h"
+
+#define DATASIZE 100
+#define INCREMENT 2
+
+struct DATA_ZSPMV {
+    double a_verify[DATASIZE * DATASIZE * 2];
+    double a_test[DATASIZE * (DATASIZE + 1)];
+    double b_test[DATASIZE * 2 * INCREMENT];
+    double c_test[DATASIZE * 2 * INCREMENT];
+    double c_verify[DATASIZE * 2 * INCREMENT];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZSPMV data_zspmv;
+
+/**
+ * Compute spmv via gemv since spmv is gemv for symmetric packed matrix
+ *
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param alpha - scaling factor for the matrix-vector product
+ * param a - buffer holding input matrix A
+ * param b - Buffer holding input vector b
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param c - buffer holding input/output vector c
+ * param inc_c - stride of vector c
+ * output param data_zspmv.c_verify - matrix computed by gemv
+ */
+static void zspmv_trusted(char uplo, blasint n, double *alpha, double *a,
+                          double *b, blasint inc_b, double *beta, double *c,
+                          blasint inc_c)
+{
+    blasint k;
+    blasint i, j;
+
+    // param for gemv (can use any, since the input matrix is symmetric)
+    char trans = 'N';
+    
+    // Unpack the input symmetric packed matrix
+    if (uplo == 'L')
+    {
+        k = 0;
+        for (i = 0; i < n; i++)
+        {
+            for (j = 0; j < n * 2; j += 2)
+            {
+                if (j / 2 < i)
+                {
+                    data_zspmv.a_verify[i * n * 2 + j] = 
+                            data_zspmv.a_verify[j * n + i * 2];
+                    data_zspmv.a_verify[i * n * 2 + j + 1] = 
+                            data_zspmv.a_verify[j * n + i * 2 + 1];
+                }
+                else
+                {
+                    data_zspmv.a_verify[i * n * 2 + j] = a[k++];
+                    data_zspmv.a_verify[i * n * 2 + j + 1] = a[k++];
+                }
+            }
+        }
+    }
+    else
+    {
+        k = n * (n + 1) - 1;
+        for (j = 2 * n - 1; j >= 0; j -= 2)
+        {
+            for (i = n - 1; i >= 0; i--)
+            {
+                if (j / 2 < i)
+                {
+                    data_zspmv.a_verify[i * n * 2 + j] = 
+                            data_zspmv.a_verify[(j - 1) * n + i * 2 + 1];
+                    data_zspmv.a_verify[i * n * 2 + j - 1] = 
+                            data_zspmv.a_verify[(j - 1) * n + i * 2];
+                }
+                else
+                {
+                    data_zspmv.a_verify[i * n * 2 + j] = a[k--];
+                    data_zspmv.a_verify[i * n * 2 + j - 1] = a[k--];
+                }
+            }
+        }
+    }
+
+    // Run gemv with unpacked matrix
+    BLASFUNC(zgemv)(&trans, &n, &n, alpha, data_zspmv.a_verify, &n, b, 
+                    &inc_b, beta, c, &inc_c);
+}
+
+/**
+ * Comapare results computed by zspmv and zspmv_trusted
+ *
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param alpha - scaling factor for the matrix-vector product
+ * param inc_b - stride of vector b
+ * param beta - scaling factor for vector c
+ * param inc_c - stride of vector c
+ * return norm of differences
+ */
+static double check_zspmv(char uplo, blasint n, double *alpha, blasint inc_b,
+                          double *beta, blasint inc_c)
+{
+    blasint i;
+
+    // Fill symmetric packed maxtix a, vectors b and c 
+    drand_generate(data_zspmv.a_test, n * (n + 1));
+    drand_generate(data_zspmv.b_test, 2 * n * inc_b);
+    drand_generate(data_zspmv.c_test, 2 * n * inc_c);
+
+    // Copy vector c for zspmv_trusted
+    for (i = 0; i < n * 2 * inc_c; i++)
+        data_zspmv.c_verify[i] = data_zspmv.c_test[i];
+
+    zspmv_trusted(uplo, n, alpha, data_zspmv.a_test, data_zspmv.b_test, 
+                  inc_b, beta, data_zspmv.c_verify, inc_c);
+    BLASFUNC(zspmv)(&uplo, &n, alpha, data_zspmv.a_test, data_zspmv.b_test, 
+                    &inc_b, beta, data_zspmv.c_test, &inc_c);
+
+    // Find the differences between output vector caculated by zspmv and zspmv_trusted
+    for (i = 0; i < n * 2 * inc_c; i++)
+        data_zspmv.c_test[i] -= data_zspmv.c_verify[i];
+
+    // Find the norm of differences
+    return BLASFUNC(dznrm2)(&n, data_zspmv.c_test, &inc_c);
+}
+
+/**
+ * Check if error function was called with expected function name
+ * and param info
+ *
+ * param uplo specifies whether matrix A is upper or lower triangular
+ * param n - number of rows and columns of A
+ * param inc_b - stride of vector b
+ * param inc_c - stride of vector c
+ * param expected_info - expected invalid parameter number in zspmv
+ * return TRUE if everything is ok, otherwise FALSE
+ */
+static int check_badargs(char uplo, blasint n, blasint inc_b,
+                          blasint inc_c, int expected_info)
+{
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    set_xerbla("ZSPMV ", expected_info);
+
+    BLASFUNC(zspmv)(&uplo, &n, alpha, data_zspmv.a_test, data_zspmv.b_test, 
+                    &inc_b, beta, data_zspmv.c_test, &inc_c);
+
+    return check_error();
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zspmv, upper_inc_b_1_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 2
+ */
+CTEST(zspmv, upper_inc_b_1_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 2;
+    char uplo = 'U';
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 1
+ */
+CTEST(zspmv, upper_inc_b_2_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 1;
+    char uplo = 'U';
+    double alpha[] = {1.0, 0.0};
+    double beta[] = {1.0, 0.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is upper triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(zspmv, upper_inc_b_2_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 2;
+    char uplo = 'U';
+    double alpha[] = {2.5, -2.1};
+    double beta[] = {0.0, 1.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 1
+ */
+CTEST(zspmv, lower_inc_b_1_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'L';
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 1
+ * Stride of vector c is 2
+ */
+CTEST(zspmv, lower_inc_b_1_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 2;
+    char uplo = 'L';
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 1
+ */
+CTEST(zspmv, lower_inc_b_2_inc_c_1_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 1;
+    char uplo = 'L';
+    double alpha[] = {1.0, 0.0};
+    double beta[] = {1.0, 0.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Test zspmv by comparing it against zgemv
+ * with the following options:
+ *
+ * A is lower triangular
+ * Number of rows and columns of A is 100
+ * Stride of vector b is 2
+ * Stride of vector c is 2
+ */
+CTEST(zspmv, lower_inc_b_2_inc_c_2_N_100)
+{
+    blasint N = DATASIZE, inc_b = 2, inc_c = 2;
+    char uplo = 'L';
+    double alpha[] = {2.5, -2.1};
+    double beta[] = {0.0, 1.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
+}
+
+/**
+ * Check if output matrix A contains any NaNs
+ */
+CTEST(zspmv, check_for_NaN)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    double alpha[] = {1.0, 1.0};
+    double beta[] = {0.0, 0.0};
+
+    double norm = check_zspmv(uplo, N, alpha, inc_b, beta, inc_c);
+
+    ASSERT_TRUE(norm == norm); /* NaN == NaN is false */
+}
+
+/**
+ * Test error function for an invalid param uplo.
+ * uplo specifies whether A is upper or lower triangular.
+ */
+CTEST(zspmv, xerbla_uplo_invalid)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 1;
+    char uplo = 'O';
+    int expected_info = 1;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param N -
+ * number of rows and columns of A. Must be at least zero.
+ */
+CTEST(zspmv, xerbla_N_invalid)
+{
+    blasint N = INVALID, inc_b = 1, inc_c = 1;
+    char uplo = 'U';
+    int expected_info = 2;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param inc_b -
+ * stride of vector b. Can't be zero.
+ */
+CTEST(zspmv, xerbla_inc_b_zero)
+{
+    blasint N = DATASIZE, inc_b = 0, inc_c = 1;
+    char uplo = 'U';
+    int expected_info = 6;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+
+/**
+ * Test error function for an invalid param inc_c -
+ * stride of vector c. Can't be zero.
+ */
+CTEST(zspmv, xerbla_inc_c_zero)
+{
+    blasint N = DATASIZE, inc_b = 1, inc_c = 0;
+    char uplo = 'U';
+    int expected_info = 9;
+
+    int passed = check_badargs(uplo, N, inc_b, inc_c, expected_info);
+    ASSERT_EQUAL(TRUE, passed);
+}
+#endif

utest/test_extensions/test_ztrmv.c

@@ -0,0 +1,266 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 300
+#define INCREMENT 2
+
+struct DATA_ZTRMV {
+	double a_test[DATASIZE * DATASIZE * 2];
+	double a_verify[DATASIZE * DATASIZE * 2];
+	double x_test[DATASIZE * INCREMENT * 2];
+	double x_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZTRMV data_ztrmv;
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A
+ * and comparing it with the non-conjugate ztrmv.
+ *
+ * param uplo specifies whether A is upper or lower triangular
+ * param trans specifies op(A), the transposition (conjugation) operation applied to A
+ * param diag specifies whether the matrix A is unit triangular or not.
+ * param n - numbers of rows and columns of A
+ * param lda - leading dimension of matrix A
+ * param incx - increment for the elements of x
+ * return norm of difference
+ */
+static double check_ztrmv(char uplo, char trans, char diag, blasint n, blasint lda, blasint incx)
+{
+	blasint i;
+	double alpha_conj[] = {1.0, 0.0}; 
+	char trans_verify = trans;
+
+	srand_generate(data_ztrmv.a_test, n * lda * 2);
+	srand_generate(data_ztrmv.x_test, n * incx * 2);
+
+	for (i = 0; i < n * lda * 2; i++)
+		data_ztrmv.a_verify[i] = data_ztrmv.a_test[i];
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ztrmv.x_verify[i] = data_ztrmv.x_test[i];
+
+	if (trans == 'R'){
+		cblas_zimatcopy(CblasColMajor, CblasConjNoTrans, n, n, alpha_conj, data_ztrmv.a_verify, lda, lda);
+		trans_verify = 'N';
+	}
+
+	BLASFUNC(ztrmv)(&uplo, &trans_verify, &diag, &n, data_ztrmv.a_verify, &lda,
+	 				data_ztrmv.x_verify, &incx);
+
+	BLASFUNC(ztrmv)(&uplo, &trans, &diag, &n, data_ztrmv.a_test, &lda,
+	 				data_ztrmv.x_test, &incx);
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ztrmv.x_verify[i] -= data_ztrmv.x_test[i];
+
+	return BLASFUNC(dznrm2)(&n, data_ztrmv.x_verify, &incx);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ztrmv, conj_notrans_upper_not_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ */
+CTEST(ztrmv, conj_notrans_upper_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ztrmv, conj_notrans_lower_not_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ */
+CTEST(ztrmv, conj_notrans_lower_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrmv, conj_notrans_upper_not_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrmv, conj_notrans_upper_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrmv, conj_notrans_lower_not_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrmv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrmv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrmv, conj_notrans_lower_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrmv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/test_ztrsv.c

@@ -0,0 +1,267 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "utest/openblas_utest.h"
+#include <cblas.h>
+#include "common.h"
+
+#define DATASIZE 300
+#define INCREMENT 2
+
+struct DATA_ZTRSV {
+	double a_test[DATASIZE * DATASIZE * 2];
+	double a_verify[DATASIZE * DATASIZE * 2];
+	double x_test[DATASIZE * INCREMENT * 2];
+	double x_verify[DATASIZE * INCREMENT * 2];
+};
+
+#ifdef BUILD_COMPLEX16
+static struct DATA_ZTRSV data_ztrsv;
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A
+ * and comparing it with the non-conjugate ztrsv.
+ *
+ * param uplo specifies whether A is upper or lower triangular
+ * param trans specifies op(A), the transposition (conjugation) operation applied to A
+ * param diag specifies whether the matrix A is unit triangular or not.
+ * param n - numbers of rows and columns of A
+ * param lda - leading dimension of matrix A
+ * param incx - increment for the elements of x
+ * return norm of difference
+ */
+static double check_ztrsv(char uplo, char trans, char diag, blasint n, blasint lda, blasint incx)
+{
+	blasint i;
+	double alpha_conj[] = {1.0, 0.0}; 
+	char trans_verify = trans;
+
+	srand_generate(data_ztrsv.a_test, n * lda * 2);
+	srand_generate(data_ztrsv.x_test, n * incx * 2);
+
+	for (i = 0; i < n * lda * 2; i++)
+		data_ztrsv.a_verify[i] = data_ztrsv.a_test[i];
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ztrsv.x_verify[i] = data_ztrsv.x_test[i];
+
+	if (trans == 'R'){
+		cblas_zimatcopy(CblasColMajor, CblasConjNoTrans, n, n, 
+						alpha_conj, data_ztrsv.a_verify, lda, lda);
+		trans_verify = 'N';
+	}
+
+	BLASFUNC(ztrsv)(&uplo, &trans_verify, &diag, &n, data_ztrsv.a_verify, 
+					&lda, data_ztrsv.x_verify, &incx);
+
+	BLASFUNC(ztrsv)(&uplo, &trans, &diag, &n, data_ztrsv.a_test, &lda, 
+					data_ztrsv.x_test, &incx);
+
+	for (i = 0; i < n * incx * 2; i++)
+		data_ztrsv.x_verify[i] -= data_ztrsv.x_test[i];
+
+	return BLASFUNC(dznrm2)(&n, data_ztrsv.x_verify, &incx);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ztrsv, conj_notrans_upper_not_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ */
+CTEST(ztrsv, conj_notrans_upper_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ */
+CTEST(ztrsv, conj_notrans_lower_not_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ */
+CTEST(ztrsv, conj_notrans_lower_unit_triangular)
+{
+	blasint n = DATASIZE, incx = 1, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrsv, conj_notrans_upper_not_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is upper triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrsv, conj_notrans_upper_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'U';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is not unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrsv, conj_notrans_lower_not_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'N';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+
+/**
+ * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A 
+ * and comparing it with the non-conjugate ztrsv.
+ * Test with the following options:
+ *
+ * matrix A is conjugate and not-trans
+ * matrix A is lower triangular
+ * matrix A is unit triangular
+ * vector x stride is 2
+ */
+CTEST(ztrsv, conj_notrans_lower_unit_triangular_incx_2)
+{
+	blasint n = DATASIZE, incx = 2, lda = DATASIZE;
+	char uplo = 'L';
+	char diag = 'U';
+	char trans = 'R';
+
+	double norm = check_ztrsv(uplo, trans, diag, n, lda, incx);
+
+	ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
+}
+#endif

utest/test_extensions/xerbla.c

@@ -0,0 +1,88 @@
+/*****************************************************************************
+Copyright (c) 2023, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "common.h"
+
+static int link_xerbla=TRUE;
+static int lerr, _info, ok;
+static char *rout;
+
+static void F77_xerbla(char *srname, void *vinfo)
+{
+   int info=*(int*)vinfo;
+
+   if (link_xerbla)
+   {
+      link_xerbla = 0;
+      return;
+   }
+
+   if (rout != NULL && strcmp(rout, srname) != 0){
+      printf("***** XERBLA WAS CALLED WITH SRNAME = <%s> INSTEAD OF <%s> *******\n", srname, rout);
+      ok = FALSE;
+   }
+
+   if (info != _info){
+      printf("***** XERBLA WAS CALLED WITH INFO = %d INSTEAD OF %d in %s *******\n",info, _info, srname);
+      lerr = TRUE;
+      ok = FALSE;
+   } else lerr = FALSE;
+}
+
+/**  
+* error function redefinition 
+*/
+int BLASFUNC(xerbla)(char *name, blasint *info, blasint length)
+{
+  F77_xerbla(name, info);
+  return 0;
+}
+
+int check_error(void) {
+   if (lerr == TRUE ) {
+       printf("***** ILLEGAL VALUE OF PARAMETER NUMBER %d NOT DETECTED BY %s *****\n", _info, rout);
+      ok = FALSE;
+   }
+   lerr = TRUE;
+   return ok;
+}
+
+void set_xerbla(char* current_rout, int expected_info){
+   if (link_xerbla) /* call these first to link */
+      F77_xerbla(rout, &_info);
+
+   ok = TRUE;
+   lerr = TRUE;
+   _info = expected_info;
+   rout = current_rout;
+}