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7eb55504b1727eebcb0f451fa5b148dbea303b69
OpenBLAS/common_interface.h
Rajalakshmi Srinivasaraghavan 7eb55504b1 RFC : Add half precision gemm for bfloat16 in OpenBLAS 
This patch adds support for bfloat16 data type matrix multiplication kernel.
For architectures that don't support bfloat16, it is defined as unsigned short
(2 bytes).  Default unroll sizes can be changed as per architecture as done for
SGEMM and for now 8 and 4 are used for M and N.  Size of ncopy/tcopy can be
changed as per architecture requirement and for now, size 2 is used.

Added shgemm in kernel/power/KERNEL.POWER9 and tested in powerpc64le and
powerpc64.  For reference, added a small test compare_sgemm_shgemm.c to compare
sgemm and shgemm output.

This patch does not cover OpenBLAS test, benchmark and lapack tests for shgemm.
Complex type implementation can be discussed and added once this is approved.
2020-04-14 14:55:08 -05:00

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/*********************************************************************/
/* Copyright 2009, 2010 The University of Texas at Austin. */
/* 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. */
/* */
/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
/* AUSTIN ``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 UNIVERSITY OF TEXAS AT */
/* AUSTIN 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. */
/* */
/* The views and conclusions contained in the software and */
/* documentation are those of the authors and should not be */
/* interpreted as representing official policies, either expressed */
/* or implied, of The University of Texas at Austin. */
/*********************************************************************/
#ifndef ASSEMBLER
#ifndef BFLOAT16
typedef unsigned short bfloat16;
#endif
#ifdef __cplusplus
extern "C" {
/* Assume C declarations for C++ */
#endif /* __cplusplus */
int BLASFUNC(xerbla)(char *, blasint *info, blasint);
void openblas_set_num_threads_(int *);
FLOATRET BLASFUNC(sdot) (blasint *, float *, blasint *, float *, blasint *);
FLOATRET BLASFUNC(sdsdot)(blasint *, float *, float *, blasint *, float *, blasint *);
double BLASFUNC(dsdot) (blasint *, float *, blasint *, float *, blasint *);
double BLASFUNC(ddot) (blasint *, double *, blasint *, double *, blasint *);
xdouble BLASFUNC(qdot) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
#ifdef RETURN_BY_STRUCT
typedef struct {
float r, i;
} myccomplex_t;
typedef struct {
double r, i;
} myzcomplex_t;
typedef struct {
xdouble r, i;
} myxcomplex_t;
myccomplex_t BLASFUNC(cdotu) (blasint *, float *, blasint *, float *, blasint *);
myccomplex_t BLASFUNC(cdotc) (blasint *, float *, blasint *, float *, blasint *);
myzcomplex_t BLASFUNC(zdotu) (blasint *, double *, blasint *, double *, blasint *);
myzcomplex_t BLASFUNC(zdotc) (blasint *, double *, blasint *, double *, blasint *);
myxcomplex_t BLASFUNC(xdotu) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
myxcomplex_t BLASFUNC(xdotc) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
#elif defined RETURN_BY_STACK
void BLASFUNC(cdotu) (openblas_complex_float *, blasint *, float * , blasint *, float *, blasint *);
void BLASFUNC(cdotc) (openblas_complex_float *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(zdotu) (openblas_complex_double *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(zdotc) (openblas_complex_double *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(xdotu) (openblas_complex_xdouble *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(xdotc) (openblas_complex_xdouble *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
#else
openblas_complex_float BLASFUNC(cdotu) (blasint *, float *, blasint *, float *, blasint *);
openblas_complex_float BLASFUNC(cdotc) (blasint *, float *, blasint *, float *, blasint *);
openblas_complex_double BLASFUNC(zdotu) (blasint *, double *, blasint *, double *, blasint *);
openblas_complex_double BLASFUNC(zdotc) (blasint *, double *, blasint *, double *, blasint *);
openblas_complex_xdouble BLASFUNC(xdotu) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
openblas_complex_xdouble BLASFUNC(xdotc) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
#endif
void BLASFUNC(saxpy) (blasint *, float *, float *, blasint *, float *, blasint *);
void BLASFUNC(daxpy) (blasint *, double *, double *, blasint *, double *, blasint *);
void BLASFUNC(qaxpy) (blasint *, xdouble *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(caxpy) (blasint *, float *, float *, blasint *, float *, blasint *);
void BLASFUNC(zaxpy) (blasint *, double *, double *, blasint *, double *, blasint *);
void BLASFUNC(xaxpy) (blasint *, xdouble *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(caxpyc)(blasint *, float *, float *, blasint *, float *, blasint *);
void BLASFUNC(zaxpyc)(blasint *, double *, double *, blasint *, double *, blasint *);
void BLASFUNC(xaxpyc)(blasint *, xdouble *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(scopy) (blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(dcopy) (blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(qcopy) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(ccopy) (blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(zcopy) (blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(xcopy) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(sswap) (blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(dswap) (blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(qswap) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(cswap) (blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(zswap) (blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(xswap) (blasint *, xdouble *, blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(sasum) (blasint *, float *, blasint *);
FLOATRET BLASFUNC(scasum)(blasint *, float *, blasint *);
double BLASFUNC(dasum) (blasint *, double *, blasint *);
xdouble BLASFUNC(qasum) (blasint *, xdouble *, blasint *);
double BLASFUNC(dzasum)(blasint *, double *, blasint *);
xdouble BLASFUNC(qxasum)(blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(ssum) (blasint *, float *, blasint *);
FLOATRET BLASFUNC(scsum)(blasint *, float *, blasint *);
double BLASFUNC(dsum) (blasint *, double *, blasint *);
xdouble BLASFUNC(qsum) (blasint *, xdouble *, blasint *);
double BLASFUNC(dzsum)(blasint *, double *, blasint *);
xdouble BLASFUNC(qxsum)(blasint *, xdouble *, blasint *);
blasint BLASFUNC(isamax)(blasint *, float *, blasint *);
blasint BLASFUNC(idamax)(blasint *, double *, blasint *);
blasint BLASFUNC(iqamax)(blasint *, xdouble *, blasint *);
blasint BLASFUNC(icamax)(blasint *, float *, blasint *);
blasint BLASFUNC(izamax)(blasint *, double *, blasint *);
blasint BLASFUNC(ixamax)(blasint *, xdouble *, blasint *);
blasint BLASFUNC(ismax) (blasint *, float *, blasint *);
blasint BLASFUNC(idmax) (blasint *, double *, blasint *);
blasint BLASFUNC(iqmax) (blasint *, xdouble *, blasint *);
blasint BLASFUNC(icmax) (blasint *, float *, blasint *);
blasint BLASFUNC(izmax) (blasint *, double *, blasint *);
blasint BLASFUNC(ixmax) (blasint *, xdouble *, blasint *);
blasint BLASFUNC(isamin)(blasint *, float *, blasint *);
blasint BLASFUNC(idamin)(blasint *, double *, blasint *);
blasint BLASFUNC(iqamin)(blasint *, xdouble *, blasint *);
blasint BLASFUNC(icamin)(blasint *, float *, blasint *);
blasint BLASFUNC(izamin)(blasint *, double *, blasint *);
blasint BLASFUNC(ixamin)(blasint *, xdouble *, blasint *);
blasint BLASFUNC(ismin)(blasint *, float *, blasint *);
blasint BLASFUNC(idmin)(blasint *, double *, blasint *);
blasint BLASFUNC(iqmin)(blasint *, xdouble *, blasint *);
blasint BLASFUNC(icmin)(blasint *, float *, blasint *);
blasint BLASFUNC(izmin)(blasint *, double *, blasint *);
blasint BLASFUNC(ixmin)(blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(samax) (blasint *, float *, blasint *);
double BLASFUNC(damax) (blasint *, double *, blasint *);
xdouble BLASFUNC(qamax) (blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(scamax)(blasint *, float *, blasint *);
double BLASFUNC(dzamax)(blasint *, double *, blasint *);
xdouble BLASFUNC(qxamax)(blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(samin) (blasint *, float *, blasint *);
double BLASFUNC(damin) (blasint *, double *, blasint *);
xdouble BLASFUNC(qamin) (blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(scamin)(blasint *, float *, blasint *);
double BLASFUNC(dzamin)(blasint *, double *, blasint *);
xdouble BLASFUNC(qxamin)(blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(smax) (blasint *, float *, blasint *);
double BLASFUNC(dmax) (blasint *, double *, blasint *);
xdouble BLASFUNC(qmax) (blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(scmax) (blasint *, float *, blasint *);
double BLASFUNC(dzmax) (blasint *, double *, blasint *);
xdouble BLASFUNC(qxmax) (blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(smin) (blasint *, float *, blasint *);
double BLASFUNC(dmin) (blasint *, double *, blasint *);
xdouble BLASFUNC(qmin) (blasint *, xdouble *, blasint *);
FLOATRET BLASFUNC(scmin) (blasint *, float *, blasint *);
double BLASFUNC(dzmin) (blasint *, double *, blasint *);
xdouble BLASFUNC(qxmin) (blasint *, xdouble *, blasint *);
void BLASFUNC(sscal) (blasint *, float *, float *, blasint *);
void BLASFUNC(dscal) (blasint *, double *, double *, blasint *);
void BLASFUNC(qscal) (blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(cscal) (blasint *, float *, float *, blasint *);
void BLASFUNC(zscal) (blasint *, double *, double *, blasint *);
void BLASFUNC(xscal) (blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(csscal)(blasint *, float *, float *, blasint *);
void BLASFUNC(zdscal)(blasint *, double *, double *, blasint *);
void BLASFUNC(xqscal)(blasint *, xdouble *, xdouble *, blasint *);
FLOATRET BLASFUNC(snrm2) (blasint *, float *, blasint *);
FLOATRET BLASFUNC(scnrm2)(blasint *, float *, blasint *);
double BLASFUNC(dnrm2) (blasint *, double *, blasint *);
xdouble BLASFUNC(qnrm2) (blasint *, xdouble *, blasint *);
double BLASFUNC(dznrm2)(blasint *, double *, blasint *);
xdouble BLASFUNC(qxnrm2)(blasint *, xdouble *, blasint *);
void BLASFUNC(srot) (blasint *, float *, blasint *, float *, blasint *, float *, float *);
void BLASFUNC(drot) (blasint *, double *, blasint *, double *, blasint *, double *, double *);
void BLASFUNC(qrot) (blasint *, xdouble *, blasint *, xdouble *, blasint *, xdouble *, xdouble *);
void BLASFUNC(csrot) (blasint *, float *, blasint *, float *, blasint *, float *, float *);
void BLASFUNC(zdrot) (blasint *, double *, blasint *, double *, blasint *, double *, double *);
void BLASFUNC(xqrot) (blasint *, xdouble *, blasint *, xdouble *, blasint *, xdouble *, xdouble *);
void BLASFUNC(srotg) (float *, float *, float *, float *);
void BLASFUNC(drotg) (double *, double *, double *, double *);
void BLASFUNC(qrotg) (xdouble *, xdouble *, xdouble *, xdouble *);
void BLASFUNC(crotg) (float *, float *, float *, float *);
void BLASFUNC(zrotg) (double *, double *, double *, double *);
void BLASFUNC(xrotg) (xdouble *, xdouble *, xdouble *, xdouble *);
void BLASFUNC(srotmg)(float *, float *, float *, float *, float *);
void BLASFUNC(drotmg)(double *, double *, double *, double *, double *);
void BLASFUNC(srotm) (blasint *, float *, blasint *, float *, blasint *, float *);
void BLASFUNC(drotm) (blasint *, double *, blasint *, double *, blasint *, double *);
void BLASFUNC(qrotm) (blasint *, xdouble *, blasint *, xdouble *, blasint *, xdouble *);
/* Level 2 routines */
void BLASFUNC(sger)(blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, blasint *);
void BLASFUNC(dger)(blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, blasint *);
void BLASFUNC(qger)(blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(cgeru)(blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, blasint *);
void BLASFUNC(cgerc)(blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, blasint *);
void BLASFUNC(zgeru)(blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, blasint *);
void BLASFUNC(zgerc)(blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, blasint *);
void BLASFUNC(xgeru)(blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(xgerc)(blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(sgemv)(char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dgemv)(char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(qgemv)(char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(cgemv)(char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zgemv)(char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xgemv)(char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(strsv) (char *, char *, char *, blasint *, float *, blasint *,
float *, blasint *);
void BLASFUNC(dtrsv) (char *, char *, char *, blasint *, double *, blasint *,
double *, blasint *);
void BLASFUNC(qtrsv) (char *, char *, char *, blasint *, xdouble *, blasint *,
xdouble *, blasint *);
void BLASFUNC(ctrsv) (char *, char *, char *, blasint *, float *, blasint *,
float *, blasint *);
void BLASFUNC(ztrsv) (char *, char *, char *, blasint *, double *, blasint *,
double *, blasint *);
void BLASFUNC(xtrsv) (char *, char *, char *, blasint *, xdouble *, blasint *,
xdouble *, blasint *);
void BLASFUNC(strmv) (char *, char *, char *, blasint *, float *, blasint *,
float *, blasint *);
void BLASFUNC(dtrmv) (char *, char *, char *, blasint *, double *, blasint *,
double *, blasint *);
void BLASFUNC(qtrmv) (char *, char *, char *, blasint *, xdouble *, blasint *,
xdouble *, blasint *);
void BLASFUNC(ctrmv) (char *, char *, char *, blasint *, float *, blasint *,
float *, blasint *);
void BLASFUNC(ztrmv) (char *, char *, char *, blasint *, double *, blasint *,
double *, blasint *);
void BLASFUNC(xtrmv) (char *, char *, char *, blasint *, xdouble *, blasint *,
xdouble *, blasint *);
void BLASFUNC(stpsv) (char *, char *, char *, blasint *, float *, float *, blasint *);
void BLASFUNC(dtpsv) (char *, char *, char *, blasint *, double *, double *, blasint *);
void BLASFUNC(qtpsv) (char *, char *, char *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(ctpsv) (char *, char *, char *, blasint *, float *, float *, blasint *);
void BLASFUNC(ztpsv) (char *, char *, char *, blasint *, double *, double *, blasint *);
void BLASFUNC(xtpsv) (char *, char *, char *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(stpmv) (char *, char *, char *, blasint *, float *, float *, blasint *);
void BLASFUNC(dtpmv) (char *, char *, char *, blasint *, double *, double *, blasint *);
void BLASFUNC(qtpmv) (char *, char *, char *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(ctpmv) (char *, char *, char *, blasint *, float *, float *, blasint *);
void BLASFUNC(ztpmv) (char *, char *, char *, blasint *, double *, double *, blasint *);
void BLASFUNC(xtpmv) (char *, char *, char *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(stbmv) (char *, char *, char *, blasint *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(dtbmv) (char *, char *, char *, blasint *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(qtbmv) (char *, char *, char *, blasint *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(ctbmv) (char *, char *, char *, blasint *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(ztbmv) (char *, char *, char *, blasint *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(xtbmv) (char *, char *, char *, blasint *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(stbsv) (char *, char *, char *, blasint *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(dtbsv) (char *, char *, char *, blasint *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(qtbsv) (char *, char *, char *, blasint *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(ctbsv) (char *, char *, char *, blasint *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(ztbsv) (char *, char *, char *, blasint *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(xtbsv) (char *, char *, char *, blasint *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(ssymv) (char *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dsymv) (char *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(qsymv) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(csymv) (char *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zsymv) (char *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xsymv) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(sspmv) (char *, blasint *, float *, float *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dspmv) (char *, blasint *, double *, double *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(qspmv) (char *, blasint *, xdouble *, xdouble *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(cspmv) (char *, blasint *, float *, float *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zspmv) (char *, blasint *, double *, double *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xspmv) (char *, blasint *, xdouble *, xdouble *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(ssyr) (char *, blasint *, float *, float *, blasint *,
float *, blasint *);
void BLASFUNC(dsyr) (char *, blasint *, double *, double *, blasint *,
double *, blasint *);
void BLASFUNC(qsyr) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *);
void BLASFUNC(csyr) (char *, blasint *, float *, float *, blasint *,
float *, blasint *);
void BLASFUNC(zsyr) (char *, blasint *, double *, double *, blasint *,
double *, blasint *);
void BLASFUNC(xsyr) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *);
void BLASFUNC(ssyr2) (char *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(dsyr2) (char *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(qsyr2) (char *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(csyr2) (char *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(zsyr2) (char *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(xsyr2) (char *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(sspr) (char *, blasint *, float *, float *, blasint *,
float *);
void BLASFUNC(dspr) (char *, blasint *, double *, double *, blasint *,
double *);
void BLASFUNC(qspr) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *);
void BLASFUNC(cspr) (char *, blasint *, float *, float *, blasint *,
float *);
void BLASFUNC(zspr) (char *, blasint *, double *, double *, blasint *,
double *);
void BLASFUNC(xspr) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *);
void BLASFUNC(sspr2) (char *, blasint *, float *,
float *, blasint *, float *, blasint *, float *);
void BLASFUNC(dspr2) (char *, blasint *, double *,
double *, blasint *, double *, blasint *, double *);
void BLASFUNC(qspr2) (char *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *);
void BLASFUNC(cspr2) (char *, blasint *, float *,
float *, blasint *, float *, blasint *, float *);
void BLASFUNC(zspr2) (char *, blasint *, double *,
double *, blasint *, double *, blasint *, double *);
void BLASFUNC(xspr2) (char *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *);
void BLASFUNC(cher) (char *, blasint *, float *, float *, blasint *,
float *, blasint *);
void BLASFUNC(zher) (char *, blasint *, double *, double *, blasint *,
double *, blasint *);
void BLASFUNC(xher) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *);
void BLASFUNC(chpr) (char *, blasint *, float *, float *, blasint *, float *);
void BLASFUNC(zhpr) (char *, blasint *, double *, double *, blasint *, double *);
void BLASFUNC(xhpr) (char *, blasint *, xdouble *, xdouble *, blasint *, xdouble *);
void BLASFUNC(cher2) (char *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, blasint *);
void BLASFUNC(zher2) (char *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, blasint *);
void BLASFUNC(xher2) (char *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(chpr2) (char *, blasint *, float *,
float *, blasint *, float *, blasint *, float *);
void BLASFUNC(zhpr2) (char *, blasint *, double *,
double *, blasint *, double *, blasint *, double *);
void BLASFUNC(xhpr2) (char *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *);
void BLASFUNC(chemv) (char *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zhemv) (char *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xhemv) (char *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(chpmv) (char *, blasint *, float *, float *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zhpmv) (char *, blasint *, double *, double *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xhpmv) (char *, blasint *, xdouble *, xdouble *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
int BLASFUNC(snorm)(char *, blasint *, blasint *, float *, blasint *);
int BLASFUNC(dnorm)(char *, blasint *, blasint *, double *, blasint *);
int BLASFUNC(cnorm)(char *, blasint *, blasint *, float *, blasint *);
int BLASFUNC(znorm)(char *, blasint *, blasint *, double *, blasint *);
void BLASFUNC(sgbmv)(char *, blasint *, blasint *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dgbmv)(char *, blasint *, blasint *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(qgbmv)(char *, blasint *, blasint *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(cgbmv)(char *, blasint *, blasint *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zgbmv)(char *, blasint *, blasint *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xgbmv)(char *, blasint *, blasint *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(ssbmv)(char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dsbmv)(char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(qsbmv)(char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(csbmv)(char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zsbmv)(char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xsbmv)(char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(chbmv)(char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zhbmv)(char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xhbmv)(char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
/* Level 3 routines */
void BLASFUNC(shgemm)(char *, char *, blasint *, blasint *, blasint *, float *,
bfloat16 *, blasint *, bfloat16 *, blasint *, float *, float *, blasint *);
void BLASFUNC(sgemm)(char *, char *, blasint *, blasint *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dgemm)(char *, char *, blasint *, blasint *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, double *, blasint *);
void BLASFUNC(qgemm)(char *, char *, blasint *, blasint *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(cgemm)(char *, char *, blasint *, blasint *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zgemm)(char *, char *, blasint *, blasint *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xgemm)(char *, char *, blasint *, blasint *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(cgemm3m)(char *, char *, blasint *, blasint *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zgemm3m)(char *, char *, blasint *, blasint *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xgemm3m)(char *, char *, blasint *, blasint *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, xdouble *, blasint *);
int BLASFUNC(sge2mm)(char *, char *, char *, blasint *, blasint *,
float *, float *, blasint *, float *, blasint *,
float *, float *, blasint *);
int BLASFUNC(dge2mm)(char *, char *, char *, blasint *, blasint *,
double *, double *, blasint *, double *, blasint *,
double *, double *, blasint *);
int BLASFUNC(cge2mm)(char *, char *, char *, blasint *, blasint *,
float *, float *, blasint *, float *, blasint *,
float *, float *, blasint *);
int BLASFUNC(zge2mm)(char *, char *, char *, blasint *, blasint *,
double *, double *, blasint *, double *, blasint *,
double *, double *, blasint *);
void BLASFUNC(strsm)(char *, char *, char *, char *, blasint *, blasint *,
float *, float *, blasint *, float *, blasint *);
void BLASFUNC(dtrsm)(char *, char *, char *, char *, blasint *, blasint *,
double *, double *, blasint *, double *, blasint *);
void BLASFUNC(qtrsm)(char *, char *, char *, char *, blasint *, blasint *,
xdouble *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(ctrsm)(char *, char *, char *, char *, blasint *, blasint *,
float *, float *, blasint *, float *, blasint *);
void BLASFUNC(ztrsm)(char *, char *, char *, char *, blasint *, blasint *,
double *, double *, blasint *, double *, blasint *);
void BLASFUNC(xtrsm)(char *, char *, char *, char *, blasint *, blasint *,
xdouble *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(strmm)(char *, char *, char *, char *, blasint *, blasint *,
float *, float *, blasint *, float *, blasint *);
void BLASFUNC(dtrmm)(char *, char *, char *, char *, blasint *, blasint *,
double *, double *, blasint *, double *, blasint *);
void BLASFUNC(qtrmm)(char *, char *, char *, char *, blasint *, blasint *,
xdouble *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(ctrmm)(char *, char *, char *, char *, blasint *, blasint *,
float *, float *, blasint *, float *, blasint *);
void BLASFUNC(ztrmm)(char *, char *, char *, char *, blasint *, blasint *,
double *, double *, blasint *, double *, blasint *);
void BLASFUNC(xtrmm)(char *, char *, char *, char *, blasint *, blasint *,
xdouble *, xdouble *, blasint *, xdouble *, blasint *);
void BLASFUNC(ssymm)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dsymm)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(qsymm)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(csymm)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zsymm)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xsymm)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(csymm3m)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zsymm3m)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xsymm3m)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(ssyrk)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, float *, blasint *);
void BLASFUNC(dsyrk)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, double *, blasint *);
void BLASFUNC(qsyrk)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, xdouble *, blasint *);
void BLASFUNC(csyrk)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, float *, blasint *);
void BLASFUNC(zsyrk)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, double *, blasint *);
void BLASFUNC(xsyrk)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, xdouble *, blasint *);
void BLASFUNC(ssyr2k)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(dsyr2k)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double*, blasint *, double *, double *, blasint *);
void BLASFUNC(qsyr2k)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble*, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(csyr2k)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zsyr2k)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double*, blasint *, double *, double *, blasint *);
void BLASFUNC(xsyr2k)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble*, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(chemm)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zhemm)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xhemm)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(chemm3m)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zhemm3m)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *, double *, double *, blasint *);
void BLASFUNC(xhemm3m)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, blasint *, xdouble *, xdouble *, blasint *);
void BLASFUNC(cherk)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, float *, blasint *);
void BLASFUNC(zherk)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double *, double *, blasint *);
void BLASFUNC(xherk)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble *, xdouble *, blasint *);
void BLASFUNC(cher2k)(char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zher2k)(char *, char *, blasint *, blasint *, double *, double *, blasint *,
double*, blasint *, double *, double *, blasint *);
void BLASFUNC(xher2k)(char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble*, blasint *, xdouble *, xdouble *, blasint *);
int BLASFUNC(cher2m)(char *, char *, char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *, float *, float *, blasint *);
int BLASFUNC(zher2m)(char *, char *, char *, blasint *, blasint *, double *, double *, blasint *,
double*, blasint *, double *, double *, blasint *);
int BLASFUNC(xher2m)(char *, char *, char *, blasint *, blasint *, xdouble *, xdouble *, blasint *,
xdouble*, blasint *, xdouble *, xdouble *, blasint *);
int BLASFUNC(sgemt)(char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *);
int BLASFUNC(dgemt)(char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *);
int BLASFUNC(cgemt)(char *, blasint *, blasint *, float *, float *, blasint *,
float *, blasint *);
int BLASFUNC(zgemt)(char *, blasint *, blasint *, double *, double *, blasint *,
double *, blasint *);
int BLASFUNC(sgema)(char *, char *, blasint *, blasint *, float *,
float *, blasint *, float *, float *, blasint *, float *, blasint *);
int BLASFUNC(dgema)(char *, char *, blasint *, blasint *, double *,
double *, blasint *, double*, double *, blasint *, double*, blasint *);
int BLASFUNC(cgema)(char *, char *, blasint *, blasint *, float *,
float *, blasint *, float *, float *, blasint *, float *, blasint *);
int BLASFUNC(zgema)(char *, char *, blasint *, blasint *, double *,
double *, blasint *, double*, double *, blasint *, double*, blasint *);
int BLASFUNC(sgems)(char *, char *, blasint *, blasint *, float *,
float *, blasint *, float *, float *, blasint *, float *, blasint *);
int BLASFUNC(dgems)(char *, char *, blasint *, blasint *, double *,
double *, blasint *, double*, double *, blasint *, double*, blasint *);
int BLASFUNC(cgems)(char *, char *, blasint *, blasint *, float *,
float *, blasint *, float *, float *, blasint *, float *, blasint *);
int BLASFUNC(zgems)(char *, char *, blasint *, blasint *, double *,
double *, blasint *, double*, double *, blasint *, double*, blasint *);
int BLASFUNC(sgemc)(char *, char *, blasint *, blasint *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, blasint *, float *, float *, blasint *);
int BLASFUNC(dgemc)(char *, char *, blasint *, blasint *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, blasint *, double *, double *, blasint *);
int BLASFUNC(qgemc)(char *, char *, blasint *, blasint *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, blasint *, xdouble *, xdouble *, blasint *);
int BLASFUNC(cgemc)(char *, char *, blasint *, blasint *, blasint *, float *,
float *, blasint *, float *, blasint *, float *, blasint *, float *, float *, blasint *);
int BLASFUNC(zgemc)(char *, char *, blasint *, blasint *, blasint *, double *,
double *, blasint *, double *, blasint *, double *, blasint *, double *, double *, blasint *);
int BLASFUNC(xgemc)(char *, char *, blasint *, blasint *, blasint *, xdouble *,
xdouble *, blasint *, xdouble *, blasint *, xdouble *, blasint *, xdouble *, xdouble *, blasint *);
/* Lapack routines */
int BLASFUNC(sgetf2)(blasint *, blasint *, float *, blasint *, blasint *, blasint *);
int BLASFUNC(dgetf2)(blasint *, blasint *, double *, blasint *, blasint *, blasint *);
int BLASFUNC(qgetf2)(blasint *, blasint *, xdouble *, blasint *, blasint *, blasint *);
int BLASFUNC(cgetf2)(blasint *, blasint *, float *, blasint *, blasint *, blasint *);
int BLASFUNC(zgetf2)(blasint *, blasint *, double *, blasint *, blasint *, blasint *);
int BLASFUNC(xgetf2)(blasint *, blasint *, xdouble *, blasint *, blasint *, blasint *);
int BLASFUNC(sgetrf)(blasint *, blasint *, float *, blasint *, blasint *, blasint *);
int BLASFUNC(dgetrf)(blasint *, blasint *, double *, blasint *, blasint *, blasint *);
int BLASFUNC(qgetrf)(blasint *, blasint *, xdouble *, blasint *, blasint *, blasint *);
int BLASFUNC(cgetrf)(blasint *, blasint *, float *, blasint *, blasint *, blasint *);
int BLASFUNC(zgetrf)(blasint *, blasint *, double *, blasint *, blasint *, blasint *);
int BLASFUNC(xgetrf)(blasint *, blasint *, xdouble *, blasint *, blasint *, blasint *);
int BLASFUNC(slaswp)(blasint *, float *, blasint *, blasint *, blasint *, blasint *, blasint *);
int BLASFUNC(dlaswp)(blasint *, double *, blasint *, blasint *, blasint *, blasint *, blasint *);
int BLASFUNC(qlaswp)(blasint *, xdouble *, blasint *, blasint *, blasint *, blasint *, blasint *);
int BLASFUNC(claswp)(blasint *, float *, blasint *, blasint *, blasint *, blasint *, blasint *);
int BLASFUNC(zlaswp)(blasint *, double *, blasint *, blasint *, blasint *, blasint *, blasint *);
int BLASFUNC(xlaswp)(blasint *, xdouble *, blasint *, blasint *, blasint *, blasint *, blasint *);
int BLASFUNC(sgetrs)(char *, blasint *, blasint *, float *, blasint *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dgetrs)(char *, blasint *, blasint *, double *, blasint *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qgetrs)(char *, blasint *, blasint *, xdouble *, blasint *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(cgetrs)(char *, blasint *, blasint *, float *, blasint *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(zgetrs)(char *, blasint *, blasint *, double *, blasint *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xgetrs)(char *, blasint *, blasint *, xdouble *, blasint *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(sgesv)(blasint *, blasint *, float *, blasint *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dgesv)(blasint *, blasint *, double *, blasint *, blasint *, double*, blasint *, blasint *);
int BLASFUNC(qgesv)(blasint *, blasint *, xdouble *, blasint *, blasint *, xdouble*, blasint *, blasint *);
int BLASFUNC(cgesv)(blasint *, blasint *, float *, blasint *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(zgesv)(blasint *, blasint *, double *, blasint *, blasint *, double*, blasint *, blasint *);
int BLASFUNC(xgesv)(blasint *, blasint *, xdouble *, blasint *, blasint *, xdouble*, blasint *, blasint *);
int BLASFUNC(spotf2)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dpotf2)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qpotf2)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(cpotf2)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(zpotf2)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xpotf2)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(spotrf)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dpotrf)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qpotrf)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(cpotrf)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(zpotrf)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xpotrf)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(spotrs)(char *, blasint *, blasint *, float *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dpotrs)(char *, blasint *, blasint *, double *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qpotrs)(char *, blasint *, blasint *, xdouble *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(cpotrs)(char *, blasint *, blasint *, float *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(zpotrs)(char *, blasint *, blasint *, double *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xpotrs)(char *, blasint *, blasint *, xdouble *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(slauu2)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dlauu2)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qlauu2)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(clauu2)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(zlauu2)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xlauu2)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(slauum)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dlauum)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qlauum)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(clauum)(char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(zlauum)(char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xlauum)(char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(strti2)(char *, char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dtrti2)(char *, char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qtrti2)(char *, char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(ctrti2)(char *, char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(ztrti2)(char *, char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xtrti2)(char *, char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(strtri)(char *, char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(dtrtri)(char *, char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(qtrtri)(char *, char *, blasint *, xdouble *, blasint *, blasint *);
int BLASFUNC(ctrtri)(char *, char *, blasint *, float *, blasint *, blasint *);
int BLASFUNC(ztrtri)(char *, char *, blasint *, double *, blasint *, blasint *);
int BLASFUNC(xtrtri)(char *, char *, blasint *, xdouble *, blasint *, blasint *);
FLOATRET BLASFUNC(slamch)(char *);
double BLASFUNC(dlamch)(char *);
xdouble BLASFUNC(qlamch)(char *);
FLOATRET BLASFUNC(slamc3)(float *, float *);
double BLASFUNC(dlamc3)(double *, double *);
xdouble BLASFUNC(qlamc3)(xdouble *, xdouble *);
/* BLAS extensions */
void BLASFUNC(saxpby) (blasint *, float *, float *, blasint *, float *, float *, blasint *);
void BLASFUNC(daxpby) (blasint *, double *, double *, blasint *, double *, double *, blasint *);
void BLASFUNC(caxpby) (blasint *, float *, float *, blasint *, float *, float *, blasint *);
void BLASFUNC(zaxpby) (blasint *, double *, double *, blasint *, double *, double *, blasint *);
void BLASFUNC(somatcopy) (char *, char *, blasint *, blasint *, float *, float *, blasint *, float *, blasint *);
void BLASFUNC(domatcopy) (char *, char *, blasint *, blasint *, double *, double *, blasint *, double *, blasint *);
void BLASFUNC(comatcopy) (char *, char *, blasint *, blasint *, float *, float *, blasint *, float *, blasint *);
void BLASFUNC(zomatcopy) (char *, char *, blasint *, blasint *, double *, double *, blasint *, double *, blasint *);
void BLASFUNC(simatcopy) (char *, char *, blasint *, blasint *, float *, float *, blasint *, blasint *);
void BLASFUNC(dimatcopy) (char *, char *, blasint *, blasint *, double *, double *, blasint *, blasint *);
void BLASFUNC(cimatcopy) (char *, char *, blasint *, blasint *, float *, float *, blasint *, blasint *);
void BLASFUNC(zimatcopy) (char *, char *, blasint *, blasint *, double *, double *, blasint *, blasint *);
void BLASFUNC(sgeadd) (blasint *, blasint *, float *, float *, blasint *, float *, float *, blasint*);
void BLASFUNC(dgeadd) (blasint *, blasint *, double *, double *, blasint *, double *, double *, blasint*);
void BLASFUNC(cgeadd) (blasint *, blasint *, float *, float *, blasint *, float *, float *, blasint*);
void BLASFUNC(zgeadd) (blasint *, blasint *, double *, double *, blasint *, double *, double *, blasint*);
#ifdef __cplusplus
}
#endif /* __cplusplus */
#endif
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