as explained by serguei-patchkovskii in Reference-LAPACK/lapack#438 (comment) , passing in an index of 1 instead of N leads to a standards violation accessing matrix A in SLASET, i.e. undefined behavior

rebase

Fix potential domain error in sqrt

Carry lapack#437

POWER9: Fix mcpu option with clang

Adding check for compiler type before checking GCC version in Makefile.
This allows clang to use power9 instead of power8 when CORE is POWER9.

Based on how the surrounding functions in lapack.h are handling the
parameters, particularly the ?ggsv?3-variants of the affected functions

Fix various wrong calls to SLASET/DLASET in the EIG part of the LAPACK testsuite

LAPACKE: fix declaration of work arrays in [cz]gesvdq

rebase

Fix build with clang on s390x

The code for SGEMM 16x4 and DGEMM 8x4 blocks on z14 and z15 uses
explicit unrolling and interleaving to improve performance. The code
employs an empty inline asm statement with operands that constrain the
compiler's instruction scheduling and thereby enforce proper overlapping
of load and compute phases. Fix an ifdef to apply that for clang builds,
as well.

Signed-off-by: Marius Hillenbrand <mhillen@linux.ibm.com>

gcc's default setting for floating-point expression contraction is
"fast", which allows the compiler to emit fused multiply adds instead of
separate multiplies and adds (amongst others). Fused multiply-adds,
which assembly kernels typically apply, also bring a significant
performance advantage to the C implementation for matrix-matrix
multiplication on s390x. To enable that performance advantage for builds
with clang, add -ffp-contract=fast to the compiler options.

Signed-off-by: Marius Hillenbrand <mhillen@linux.ibm.com>

... since it is not required and clang does not support that gcc
extension. Instead, use a variable-length array directly for these
operands.

Note that, while the actual inline assembly code does not directly use
these memory operands, they serve to inform the compiler that it cannot
reorder reads or writes to/from the input and output data across the
inline asm statements.

Signed-off-by: Marius Hillenbrand <mhillen@linux.ibm.com>

... since clang does not support the instruction format for inline
assembly and also it is not required for current versions of clang.

Signed-off-by: Marius Hillenbrand <mhillen@linux.ibm.com>

... as a bandaid for building with clang until LLVM's internal assembler
supports nops without operand.

Signed-off-by: Marius Hillenbrand <mhillen@linux.ibm.com>

Some of the kernels written in assembly utilize a "load address"
instruction for loading an immediate value into a register. That is
both unnecessarily complex and LLVM's assembler does not understand that
specific syntax. Thus, replace with the appropriate "load immediate"
instruction, which is also clearer to read.

Signed-off-by: Marius Hillenbrand <mhillen@linux.ibm.com>

Fix for c_check misinterpreting arm64 in uname -m output as armv7

additionla fix for upcoming OSX on ARM64 related to #2804, as suggested by fxcoudert in #2805

Make NO_AVX512 option override the AVX512 compile test in CMAKE builds as well

ReLAPACK fixes

rebase

* Fix misnaming of LAPACK_?ggsvp and ?ggsvd function prototypes as LAPACKE_

* Drop the LAPACKE matrix_layout parameter from the argument lists, change ints to pointers and add missing work arguments.

Work around ARMV8 build-time cpu detection problems on non-Linux systems

POWER10: Avoid setting accumulators to zero in gemm kernels

For the first iteration, it is better to use xvf*ger instead of xvf*gerpp
builtins which helps to avoid setting accumulators to zero. This helps
to reduce few instructions.

Fix compile error on AIX cpuid detection

In 589c74a the cpuid detection was changed to use systemcfg, but a copy
and paste error was introduced during some refactoring that caused
POWER7 detection to reference CPUTYPE_POWER7 (which doesn't exist)
instead of CPUTYPE_POWER6.

Fix OMP num specify issue

Add aliases for armv6, armv7

FreeBSD uses those names for 32-bit ARM variants.

In current code, no matter what number of threads specified, all
available CPU count is used when invoking OMP, which leads to very bad
performance if the workload is small while all available CPUs are big.
Lots of time are wasted on inter-thread sync. Fix this issue by really
using the number specified by the variable 'num' from calling API.

Signed-off-by: Chen, Guobing <guobing.chen@intel.com>

Fix crashes in parallelized x86_64 ZDOT particularly on Windows

Add OpenMP dependency to pkgconfig information if needed

rebase