Fix too strict leading dimensions check in LAPACKE_?gesdd_work (Reference-LAPACK PR #1126) (#5307)

* relax leading dimensions check (Reference-LAPACK PR #1126)

lapack-netlib/LAPACKE/src/lapacke_cgesdd_work.c

@@ -58,6 +58,9 @@ lapack_int LAPACKE_cgesdd_work( int matrix_layout, char jobz, lapack_int m,
         lapack_int nrows_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
                               ( LAPACKE_lsame( jobz, 'o' ) && m>=n) ) ? n :
                               ( LAPACKE_lsame( jobz, 's' ) ? MIN(m,n) : 1);
+        lapack_int ncols_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
+                                LAPACKE_lsame( jobz, 's' ) ||
+                              ( LAPACKE_lsame( jobz, 'o' && m >=n) ) ? n : 1);
         lapack_int lda_t = MAX(1,m);
         lapack_int ldu_t = MAX(1,nrows_u);
         lapack_int ldvt_t = MAX(1,nrows_vt);
@@ -75,7 +78,7 @@ lapack_int LAPACKE_cgesdd_work( int matrix_layout, char jobz, lapack_int m,
             LAPACKE_xerbla( "LAPACKE_cgesdd_work", info );
             return info;
         }
-        if( ldvt < n ) {
+        if( ldvt < ncols_vt ) {
             info = -11;
             LAPACKE_xerbla( "LAPACKE_cgesdd_work", info );
             return info;

lapack-netlib/LAPACKE/src/lapacke_dgesdd_work.c

@@ -56,6 +56,9 @@ lapack_int LAPACKE_dgesdd_work( int matrix_layout, char jobz, lapack_int m,
         lapack_int nrows_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
                               ( LAPACKE_lsame( jobz, 'o' ) && m>=n) ) ? n :
                               ( LAPACKE_lsame( jobz, 's' ) ? MIN(m,n) : 1);
+        lapack_int ncols_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
+                                LAPACKE_lsame( jobz, 's' ) ||
+                              ( LAPACKE_lsame( jobz, 'o' && m >=n) ) ? n : 1);
         lapack_int lda_t = MAX(1,m);
         lapack_int ldu_t = MAX(1,nrows_u);
         lapack_int ldvt_t = MAX(1,nrows_vt);
@@ -73,7 +76,7 @@ lapack_int LAPACKE_dgesdd_work( int matrix_layout, char jobz, lapack_int m,
             LAPACKE_xerbla( "LAPACKE_dgesdd_work", info );
             return info;
         }
-        if( ldvt < n ) {
+        if( ldvt < ncols_vt ) {
             info = -11;
             LAPACKE_xerbla( "LAPACKE_dgesdd_work", info );
             return info;

lapack-netlib/LAPACKE/src/lapacke_sgesdd_work.c

@@ -56,6 +56,9 @@ lapack_int LAPACKE_sgesdd_work( int matrix_layout, char jobz, lapack_int m,
         lapack_int nrows_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
                               ( LAPACKE_lsame( jobz, 'o' ) && m>=n) ) ? n :
                               ( LAPACKE_lsame( jobz, 's' ) ? MIN(m,n) : 1);
+        lapack_int ncols_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
+                                LAPACKE_lsame( jobz, 's' ) ||
+                              ( LAPACKE_lsame( jobz, 'o' && m >=n) ) ? n : 1);
         lapack_int lda_t = MAX(1,m);
         lapack_int ldu_t = MAX(1,nrows_u);
         lapack_int ldvt_t = MAX(1,nrows_vt);
@@ -73,7 +76,7 @@ lapack_int LAPACKE_sgesdd_work( int matrix_layout, char jobz, lapack_int m,
             LAPACKE_xerbla( "LAPACKE_sgesdd_work", info );
             return info;
         }
-        if( ldvt < n ) {
+        if( ldvt < ncols_vt ) {
             info = -11;
             LAPACKE_xerbla( "LAPACKE_sgesdd_work", info );
             return info;

lapack-netlib/LAPACKE/src/lapacke_zgesdd_work.c

@@ -58,6 +58,9 @@ lapack_int LAPACKE_zgesdd_work( int matrix_layout, char jobz, lapack_int m,
         lapack_int nrows_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
                               ( LAPACKE_lsame( jobz, 'o' ) && m>=n) ) ? n :
                               ( LAPACKE_lsame( jobz, 's' ) ? MIN(m,n) : 1);
+        lapack_int ncols_vt = ( LAPACKE_lsame( jobz, 'a' ) ||
+                                LAPACKE_lsame( jobz, 's' ) ||
+                              ( LAPACKE_lsame( jobz, 'o' && m >=n) ) ? n : 1);
         lapack_int lda_t = MAX(1,m);
         lapack_int ldu_t = MAX(1,nrows_u);
         lapack_int ldvt_t = MAX(1,nrows_vt);
@@ -75,7 +78,7 @@ lapack_int LAPACKE_zgesdd_work( int matrix_layout, char jobz, lapack_int m,
             LAPACKE_xerbla( "LAPACKE_zgesdd_work", info );
             return info;
         }
-        if( ldvt < n ) {
+        if( ldvt < ncols_vt ) {
             info = -11;
             LAPACKE_xerbla( "LAPACKE_zgesdd_work", info );
             return info;