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/*
* Automatically Tuned Linear Algebra Software v3.10.3
* (C) Copyright 1997 R. Clint Whaley
*
* 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. The name of the ATLAS group or the names of its contributers may
* not be used to endorse or promote products derived from this
* software without specific 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 ATLAS GROUP OR ITS 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.
*
*/
#if defined(ATL_AFFINITY) || defined(ATL_NOAFFINITY)
#ifndef ATL_USEPTHREADS
#define ATL_USEPTHREADS
#endif
#endif
/* #define TEST_GPMM */
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include "atlas_misc.h"
#include "atlas_lvl3.h"
#include "atlas_tst.h"
#include "cblas.h"
#ifdef ATL_USEPTHREADS
#include "atlas_tlvl3.h"
#endif
#ifdef TRUST_REF
#include "atlas_reflevel3.h"
#endif
#if defined(ATL_RKXOVER) || defined(TEST_RANKK)
#define TRUST_BIGNORK
void Mjoin(PATL,bignork_mm)
(const enum ATLAS_TRANS TA, const enum ATLAS_TRANS TB,
const int M, const int N, const int K, const SCALAR alpha,
const TYPE *A, const int lda, const TYPE *B, const int ldb,
const SCALAR beta, TYPE *C, const int ldc);
#ifdef TCPLX
#error "ATLAS's rank-K update does not yet support complex types!"
#endif
#endif
#if defined(ATL_RKXOVER) && !defined(TEST_RANKK)
#define TEST_RANKK
#endif
#ifdef TEST_GPMM
#include "atlas_pkblas.h"
#endif
#ifdef TEST_RANKK
#include Mstr(Mjoin(Mjoin(atlas_,PRE),vkbmms.h))
int Mjoin(PATL,vrankK)(const enum ATLAS_TRANS TA, const enum ATLAS_TRANS TB,
ATL_CINT M, ATL_CINT N, ATL_CINT K, const SCALAR alpha,
const TYPE *A, ATL_CINT lda, const TYPE *B,
ATL_CINT ldb, const SCALAR beta, TYPE *C, ATL_CINT ldc);
#ifdef ATL_RKXOVER
FILE *fprk=NULL;
int speedup_rk[ATL_vMAX_KB+1], speedup_rk_b0[ATL_vMAX_KB+1];
int MAX_vKB = ATL_vMAX_KB;
#endif
#elif defined(TEST_GEMM_RK)
int Mjoin(PATL,gemm_rK)(const enum ATLAS_TRANS TA, const enum ATLAS_TRANS TB,
ATL_CINT M, ATL_CINT N, ATL_CINT K, const SCALAR alpha,
const TYPE *A, ATL_CINT lda, const TYPE *B,
ATL_CINT ldb, const SCALAR beta, TYPE *C, ATL_CINT ldc);
#endif
#ifndef L2SIZE
#define L2SIZE 4194304
#endif
#ifdef ATL_DeclareSlens
F77_INTEGER ATL_Slen1, ATL_Slen2;
#endif
double time00(void);
void printmat(char *mat, int M, int N, TYPE *A, int lda)
{
int i, j;
#ifdef TCPLX
lda *= 2;
#endif
printf("\n%s = \n",mat);
for (i=0; i != M; i++)
{
#ifdef TREAL
for (j=0; j != N; j++) printf("%f ",A[i+j*lda]);
#else
for (j=0; j != N; j++) printf("(%f,%f) ",A[2*i+j*lda], A[1+2*i+j*lda]);
#endif
printf("\n");
}
}
void matgen(int M, int N, TYPE *A, int lda, int seed)
{
int i, j;
#ifdef TCPLX
M *= 2;
lda *= 2;
#endif
dumb_seed(seed);
for (j=N; j; j--)
{
for (i=0; i != M; i++) A[i] = dumb_rand();
for (; i < lda; i++) A[i] = -9e27;
A += lda;
}
}
#ifdef ATL_NANC
void matnan(int M, int N, TYPE *C, int ldc, int seed)
/*
* Fills matrix with NaNs
*/
{
int i, j;
unsigned int *ip;
TYPE MyNaN;
#ifdef TCPLX
const int m=M+M, ldC=ldc+ldc;
#else
const int m=M, ldC=ldc;
#endif
#if 0
ip = (unsigned int*) &MyNaN;
ip[0] = 1;
ip[1] = 2047 << (31-11);
#else
MyNaN = 0.0/0.0;
#endif
for (j=0; j < N; j++, C += ldC)
{
for (i=0; i < m; i++)
C[i] = MyNaN;
}
}
#endif
#if defined(TRUST_C)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(Mjoin(cblas_,PRE),gemm) \
(CblasColMajor, TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TRUST_REF)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,refgemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(ATL_NOAFFINITY) || defined(ATL_AFFINITY)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,tgemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TRUST_SMALL)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,small_mm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TRUST_BIGNORK)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,bignork_mm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TRUST_BIG)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,big_mm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TRUST_BPP)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,mmBPP)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TRUST_JIT)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,mmJITcp)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(ATL_USEPTHREADS) && !defined(TEST_F77)
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,gemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#else
#define trusted_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,f77gemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#endif
#ifdef TEST_GPMM
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,gpmm)(PackGen, TA, PackGen, TB, PackGen, m, n, k, al, \
A, 0, 0, lda, B, 0, 0, ldb, be, C, 0, 0, ldc)
#elif defined(ATL_NOAFFINITY) || defined(ATL_AFFINITY)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,tgemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TEST_F77)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,f77gemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TEST_BIG)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,big_mm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TEST_SMALLK)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,smallK_mm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TEST_SMALL)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,small_mm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TEST_BPP)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,mmBPP)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TEST_JIT)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,mmJITcp)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(TEST_RANKK)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
{ \
if (k <= ATL_vMAX_KB) \
{ \
ATL_assert(!Mjoin(PATL,vrankK)(TA, TB, m, n, k, al, A, lda, B, ldb, \
be, C, ldc));\
} \
else \
{ \
fprintf(stderr, "maxK exceeded at %d\n", k); \
exit(k); \
} \
}
#elif defined(TEST_GEMM_RK)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
ATL_assert(!Mjoin(PATL,gemm_rK)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc))
#elif defined(TEST_ALIASED)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,aliased_gemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#elif defined(ATL_USEPTHREADS)
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,tgemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#else
#define test_gemm(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc) \
Mjoin(PATL,gemm)(TA, TB, m, n, k, al, A, lda, B, ldb, be, C, ldc)
#endif
int mmcase(int TEST, int CACHESIZE, char TA, char TB, int M, int N, int K,
SCALAR alpha, TYPE *A, size_t lda, TYPE *B, size_t ldb, SCALAR beta,
TYPE *C, size_t ldc, TYPE *D, size_t ldd)
{
char *pc;
#ifdef TREAL
char *form="%4d %c %c %4d %4d %4d %5.1f %5.1f %6.2f %5.1f %5.2f %3s\n";
#define MALPH alpha
#define MBETA beta
#else
#define MALPH *alpha, alpha[1]
#define MBETA *beta, beta[1]
char *form="%4d %c %c %4d %4d %4d %5.1f %5.1f %5.1f %5.1f %6.2f %6.1f %4.2f %3s\n";
#endif
int ii, jj, i, j=0, PASSED, nerrs, Na, Nb;
double t0, t1, t2, t3, mflop;
TYPE maxval, f1, ferr;
static TYPE feps=0.0;
static int itst=1;
/*int *L2, nL2=(1.3*L2SIZE)/sizeof(int);*/
enum ATLAS_TRANS TAc, TBc;
double l2ret;
if (!TEST) D = C;
/*if (nL2) L2 = malloc(nL2*sizeof(int));*/
#if !ATL_LINEFLUSH
l2ret = ATL_flushcache( CACHESIZE );
#endif
if (TA == 'n' || TA == 'N')
{
matgen(M, K, A, lda, K*1112);
TAc = AtlasNoTrans;
Na = K;
}
else
{
matgen(K, M, A, lda, K*1112);
if (TA == 'c' || TA == 'C') TAc = AtlasConjTrans;
else TAc = AtlasTrans;
Na = M;
}
if (TB == 'n' || TB == 'N')
{
matgen(K, N, B, ldb, N*2238);
TBc = AtlasNoTrans;
Nb = N;
}
else
{
matgen(N, K, B, ldb, N*2238);
if (TB == 'c' || TB == 'C') TBc = AtlasConjTrans;
else TBc = AtlasTrans;
Nb = K;
}
#ifdef ATL_NANC
matnan(M, N, C, ldc, M*N);
#else
matgen(M, N, C, ldc, M*N);
#endif
#ifdef DEBUG
printmat("A0", M, K, A, lda);
printmat("B0", K, N, B, ldb);
printmat("C0", M, N, C, ldc);
#endif
/*
if (L2)
{
for (i=0; i != nL2; i++) L2[i] = 0.0;
for (i=0; i != nL2; i++) j += L2[i];
}*/
if (CACHESIZE)
{ /* invalidate L2 cache */
#if !ATL_LINEFLUSH
l2ret = ATL_flushcache( -1 );
#else
ATL_flushCacheByAddr(ldc*N, C);
ATL_flushCacheByAddr(ldb*Nb, B);
ATL_flushCacheByAddr(lda*Na, A);
#endif
}
t0 = time00();
trusted_gemm(TAc, TBc, M, N, K, alpha, A, lda, B, ldb, beta, C, ldc);
t1 = time00() - t0;
if (t1 <= 0.0) mflop = t1 = 0.0;
else /* flop rates actually 8MNK+12MN & 2MNK + 2MN, resp */
#ifdef TCPLX
mflop = ( ((8.0*M)*N)*K ) / (t1*1000000.0);
#else
mflop = ( ((2.0*M)*N)*K ) / (t1*1000000.0);
#endif
printf(form, itst, TA, TB, M, N, K, MALPH, MBETA, t1, mflop, 1.0, "---");
#ifdef DEBUG
printmat("C", M, N, C, ldc);
#endif
#ifndef TIMEONLY
#ifdef ATL_NANC
matnan(M, N, D, ldd, M*N);
#else
matgen(M, N, D, ldd, M*N);
#endif
if (CACHESIZE)
{ /* invalidate L2 cache */
#if !ATL_LINEFLUSH
l2ret = ATL_flushcache( -1 );
#else
ATL_flushCacheByAddr(ldc*N, D);
ATL_flushCacheByAddr(ldb*Nb, B);
ATL_flushCacheByAddr(lda*Na, A);
#endif
}
t0 = time00();
test_gemm(TAc, TBc, M, N, K, alpha, A, lda, B, ldb, beta, D, ldd);
t2 = time00() - t0;
if (t2 <= 0.0) t2 = mflop = 0.0;
else
#ifdef TCPLX
mflop = ( ((8.0*M)*N)*K ) / (t2*1000000.0);
#else
mflop = ( ((2.0*M)*N)*K ) / (t2*1000000.0);
#endif
#ifdef DEBUG
printmat("D", M, N, D, ldd);
#endif
if (TEST)
{
if (feps == 0.0)
{
#if 0
f1 = feps = 0.5;
do
{
feps = f1;
f1 *= 0.5;
maxval = 1.0 + f1;
}
while (maxval != 1.0);
printf("feps=%e\n",feps);
#else
feps = EPS;
#endif
#ifdef DEBUG
printf("feps=%e\n",feps);
#endif
}
#ifdef TREAL
ferr = 2.0 * (Mabs(alpha) * 2.0*K*feps + Mabs(beta) * feps) + feps;
#else
f1 = Mabs(*alpha) + Mabs(alpha[1]);
maxval = Mabs(*beta) + Mabs(beta[1]);
ferr = 2.0 * (f1*8.0*K*feps + maxval*feps) + feps;
#endif
PASSED = 1;
maxval = 0.0;
pc = "YES";
nerrs = ii = jj = 0;
for (j=0; j != N; j++)
{
for (i=0; i != M SHIFT; i++)
{
#ifdef ATL_NANC
if (D[i] != D[i])
{
nerrs++;
PASSED = 0;
printf("NaN in test_gemm at C(%d,%d)\n", i, j);
}
if (C[i] != C[i])
{
nerrs++;
PASSED = 0;
printf("NaN in trusted_gemm at C(%d,%d)\n", i, j);
}
#endif
f1 = D[i] - C[i];
if (f1 < 0.0) f1 = -f1;
if (f1 > ferr)
{
nerrs++;
PASSED = 0;
pc = "NO!";
if (f1 > maxval)
{
maxval=f1;
ii = i+1;
jj = j+1;
}
}
else if (D[i] != D[i])
{
nerrs++;
PASSED = 0;
pc = "NaN";
maxval = D[i];
}
}
D += ldd SHIFT;
C += ldc SHIFT;
}
if (maxval != 0.0)
fprintf(stderr, "ERROR: nerr=%d, i=%d, j=%d, maxval=%e\n", nerrs, ii,jj, maxval);
}
else pc = "---";
if (t1 == t2) t3 = 1.0;
else if (t2 != 0.0) t3 = t1/t2;
else t3 = 0.0;
#ifdef ATL_RKXOVER
if (K <= ATL_vMAX_KB)
{
if (SCALAR_IS_ZERO(beta))
speedup_rk_b0[K] = (t3 >= 1.0) ? t3*100 : 0;
else
speedup_rk[K] = (t3 >= 1.0) ? t3*100 : 0;
}
#endif
printf(form, itst++, TA, TB, M, N, K, MALPH, MBETA, t2, mflop, t3, pc);
#else
itst++;
PASSED = 1;
#endif
/*free(L2);*/
#if !ATL_LINEFLUSH
l2ret = ATL_flushcache( 0 );
#endif
return(PASSED);
}
int mmcase0(int MFLOP, size_t CACHESIZE, char TA, char TB, int M, int N, int K,
SCALAR alpha, size_t lda, size_t ldb, SCALAR beta, size_t ldc)
{
char *pc;
#ifdef TREAL
char *form="%4d %c %c %4d %4d %4d %5.1f %5.1f %6.2f %5.1f %5.2f %3s\n";
#define MALPH alpha
#define MBETA beta
TYPE betinv, bet=beta;
#else
#define MALPH *alpha, alpha[1]
#define MBETA *beta, beta[1]
char *form="%4d %c %c %4d %4d %4d %5.1f %5.1f %5.1f %5.1f %6.2f %6.1f %4.2f %3s\n";
TYPE betinv[2], *bet=beta;
#endif
#ifdef ATL_USETHREADS
const size_t cs=ATL_NTHREADS *
ATL_MulBySize(ATL_DivBySize(CACHESIZE+ATL_sizeof-1));
#else
const size_t cs=ATL_MulBySize(ATL_DivBySize(CACHESIZE+ATL_sizeof-1));
#endif
const size_t setsz = M*N + M*K + N*K;
size_t nset;
size_t i, incA, incB, incC, inc, k;
TYPE *c, *C, *a, *A, *b, *B, *st;
int nreps, ii, jj, j=0, PASSED, nerrs;
double t0, t1, t2, t3, mflop, mf, mops;
TYPE maxval, f1, ferr;
static TYPE feps=0.0;
static int itst=1;
enum ATLAS_TRANS TAc, TBc;
void *vp;
#ifdef TCPLX
if (*beta == 0.0 && beta[1] == 0.0) betinv[0] = betinv[1] = 0.0;
else if (beta[1] == 0.0) { betinv[0] = 1 / *beta; betinv[1] = 0.0; }
else
{
t0 = *beta;
t1 = beta[1];
if (Mabs(t1) <= Mabs(t0))
{
t2 = t1 / t0;
betinv[0] = t0 = 1.0 / (t0 + t1*t2);
betinv[1] = -t0 * t2;
}
else
{
t2 = t0 / t1;
betinv[1] = t0 = -1.0 / (t1 + t0*t2);
betinv[0] = -t2 * t0;
}
}
mops = ( ((8.0*M)*N)*K ) / 1000000.0;
#else
if (beta != 0.0) betinv = 1.0 / beta;
else betinv = beta;
mops = ( ((2.0*M)*N)*K ) / 1000000.0;
#endif
nreps = MFLOP / mops;
if (nreps < 1) nreps = 1;
if (TA == 'n' || TA == 'N')
{
TAc = AtlasNoTrans;
incA = lda * K;
}
else
{
if (TA == 'c' || TA == 'C') TAc = AtlasConjTrans;
else TAc = AtlasTrans;
incA = lda * M;
}
if (TB == 'n' || TB == 'N')
{
incB = ldb * N;
TBc = AtlasNoTrans;
}
else
{
incB = ldb * K;
if (TB == 'c' || TB == 'C') TBc = AtlasConjTrans;
else TBc = AtlasTrans;
}
incC = ldc*N;
inc = incA + incB + incC; /* amount actually allocated */
nset = (cs+setsz-1)/setsz;
if (nset < 2)
nset = 2;
vp = malloc(ATL_MulBySize(nset*inc)+ATL_Cachelen);
ATL_assert(vp);
C = c = ATL_AlignPtr(vp);
a = A = C + incC;
b = B = A + incA;
st = C + nset*inc;
#ifdef ATL_NANC
matnan(inc, nset, C, inc, M*N);
#else
matgen(inc, nset, C, inc, M*N);
#endif
#ifdef DEBUG
printmat("A0", M, K, A, lda);
printmat("B0", K, N, B, ldb);
printmat("C0", M, N, C, ldc);
#endif
t0 = time00();
for (k=nreps; k; k--)
{
trusted_gemm(TAc, TBc, M, N, K, alpha, a, lda, b, ldb, bet, c, ldc);
c += inc; a += inc; b += inc;
if (c == st)
{
c = C; a = A; b = B;
if (bet == beta) bet = betinv;
else bet = beta;
}
}
t1 = time00() - t0;
t1 /= nreps;
if (t1 <= 0.0) mflop = t1 = 0.0;
else /* flop rates actually 8MNK+12MN & 2MNK + 2MN, resp */
mflop = mops / t1;
printf(form, itst, TA, TB, M, N, K, MALPH, MBETA, t1, mflop, 1.0, "---");
#ifdef DEBUG
printmat("C", M, N, C, ldc);
#endif
matgen(inc, nset, C, inc, M*N);
t0 = time00();
for (k=nreps; k; k--)
{
test_gemm(TAc, TBc, M, N, K, alpha, a, lda, b, ldb, bet, c, ldc);
c += inc; a += inc; b += inc;
if (c == st)
{
c = C; a = A; b = B;
if (bet == beta) bet = betinv;
else bet = beta;
}
}
t2 = time00() - t0;
t2 /= nreps;
if (t2 <= 0.0) t2 = mflop = 0.0;
else mflop = mops / t2;
pc = "---";
if (t1 == t2) t3 = 1.0;
else if (t2 != 0.0) t3 = t1/t2;
else t3 = 0.0;
#ifdef ATL_RKXOVER
if (K <= ATL_vMAX_KB)
{
if (SCALAR_IS_ZERO(beta))
speedup_rk_b0[K] = (t3 >= 1.0) ? t3*100 : 0;
else
speedup_rk[K] = (t3 >= 1.0) ? t3*100 : 0;
}
#endif
printf(form, itst-4, TA, TB, M, N, K, MALPH, MBETA, t2, mflop, t3, pc);
itst++;
free(vp);
return(1);
}
void PrintUsage(char *nam)
{
fprintf(stderr, "USAGE: %s -Side <nsides> L/R -Uplo <nuplo> L/U -Atrans <ntrans> n/t/c -Btrans <ntrans> n/t/c -Diag <ndiags> N/U -M <m1> <mN> <minc> -N <n1> <nN> <ninc> <k1> <kN> <kinc> -n <n> -m <m> -k <k> -a <nalphas> <alpha1> ... <alphaN> -b <nbetas> <beta1> ... <betaN> -Test <0/1> -F <mflops> -C <cachesize>\n", nam);
exit(-1);
}
void GetFlags(int nargs, char *args[], int *TEST, int *nside,
enum ATLAS_SIDE **Side, int *nuplo, enum ATLAS_UPLO **Uplo,
int *nta, enum ATLAS_TRANS **TransA,
int *ntb, enum ATLAS_TRANS **TransB, int *ndiag,
enum ATLAS_DIAG **Diag, int *M0, int *MN, int *Minc,
int *N0, int *NN, int *Ninc, int *K0, int *KN, int *Kinc,
int *nalphas, TYPE **alphas, int *nbetas, TYPE **betas,
int *LDA_IS_M, int *MFLOP, int *CACHESIZE, int *nrep)
{
char ch;
int i, j;
char *outfile=NULL;
/*
* Set up defaults
*/
*nrep = 1;
*TEST = 1;
*M0 = *N0 = *K0 = -1;
*nuplo = *nta = *ntb = *nside = *ndiag = *nalphas = *nbetas = -1;
*MFLOP = *LDA_IS_M = 0;
#ifdef L2SIZE
*CACHESIZE = L2SIZE; /* Size of largest cache to flush */
#else
*CACHESIZE = 4*1024*1024;
#endif
for (i=1; i < nargs; i++)
{
switch(args[i][1])
{
case '#':
*nrep = atoi(args[++i]);
break;
case 'F':
*MFLOP = atoi(args[++i]);
break;
case 'C':
if( args[i+1] == NULL ) PrintUsage( args[0] );
*CACHESIZE = 1024*atoi(args[++i]);
break;
case 'S':
*nside = atoi(args[++i]);
*Side = malloc(*nside * sizeof(int));
assert(*Side);
for (j=0; j != *nside; j++)
{
ch = *args[++i];
if (ch == 'r' || ch == 'R') (*Side)[j] = AtlasRight;
else if (ch == 'l' || ch == 'L') (*Side)[j] = AtlasLeft;
else PrintUsage(args[0]);
}
break;
case 'U':
*nuplo = atoi(args[++i]);
*Uplo = malloc(*nuplo * sizeof(int));
assert(*Uplo);
for (j=0; j != *nuplo; j++)
{
ch = *args[++i];
if (ch == 'u' || ch == 'U') (*Uplo)[j] = AtlasUpper;
else if (ch == 'l' || ch == 'L') (*Uplo)[j] = AtlasLower;
else PrintUsage(args[0]);
}
break;
case 'D':
*ndiag = atoi(args[++i]);
*Diag = malloc(*ndiag * sizeof(int));
assert(*Diag);
for (j=0; j != *ndiag; j++)
{
ch = *args[++i];
if (ch == 'u' || ch == 'U') (*Diag)[j] = AtlasUnit;
else if (ch == 'n' || ch == 'N') (*Diag)[j] = AtlasNonUnit;
else PrintUsage(args[0]);
}
break;
case 'A':
*nta = atoi(args[++i]);
*TransA = malloc(*nta * sizeof(int));
assert(*TransA);
for (j=0; j != *nta; j++)
{
ch = *args[++i];
if (ch == 'n' || ch == 'N') (*TransA)[j] = AtlasNoTrans;
else if (ch == 't' || ch == 'T') (*TransA)[j] = AtlasTrans;
else if (ch == 'c' || ch == 'C') (*TransA)[j] = AtlasConjTrans;
else PrintUsage(args[0]);
}
break;
case 'B':
*ntb = atoi(args[++i]);
*TransB = malloc(*ntb * sizeof(int));
assert(*TransB);
for (j=0; j != *ntb; j++)
{
ch = *args[++i];
if (ch == 'n' || ch == 'N') (*TransB)[j] = AtlasNoTrans;
else if (ch == 't' || ch == 'T') (*TransB)[j] = AtlasTrans;
else if (ch == 'c' || ch == 'C') (*TransB)[j] = AtlasConjTrans;
else PrintUsage(args[0]);
}
break;
case 'M':
*M0 = atoi(args[++i]);
*MN = atoi(args[++i]);
*Minc = atoi(args[++i]);
break;
case 'N':
*N0 = atoi(args[++i]);
*NN = atoi(args[++i]);
*Ninc = atoi(args[++i]);
break;
case 'K':
*K0 = atoi(args[++i]);
*KN = atoi(args[++i]);
*Kinc = atoi(args[++i]);
break;
case 'T':
*TEST = atoi(args[++i]);
break;
case 'm':
*M0 = *MN = *Minc = atoi(args[++i]);
break;
case 'n':
*N0 = *NN = *Ninc = atoi(args[++i]);
break;
case 'k':
*K0 = *KN = *Kinc = atoi(args[++i]);
break;
case 'a':
*nalphas = atoi(args[++i]);
*alphas = malloc(ATL_MulBySize(*nalphas));
assert(*alphas);
for (j=0; j < *nalphas SHIFT; j++) (*alphas)[j] = atof(args[++i]);
break;
case 'b':
*nbetas = atoi(args[++i]);
*betas = malloc(ATL_MulBySize(*nbetas ));
assert(*betas );
for (j=0; j < *nbetas SHIFT; j++) (*betas)[j] = atof(args[++i]);
break;
case 'd':
*LDA_IS_M = atoi(args[++i]);
break;
#ifdef ATL_RKXOVER
case 'o':
outfile = args[++i];
break;
#endif
default:
PrintUsage(args[0]);
break;
}
}
/*
* Finish setting up defaults if the user has not selected
*/
if (*N0 == -1)
{
#ifdef ATL_RKXOVER
#ifdef SCPLX
*N0 = *NN = *Ninc = 3000;
#elif defined(DCPLX)
*N0 = *NN = *Ninc = 2000;
#elif defined(SREAL)
*N0 = *NN = *Ninc = 4000;
#else
*N0 = *NN = *Ninc = 3000;
#endif
#else
*N0 = 100;
*NN = 1000;
*Ninc = 100;
#endif
}
#ifdef ATL_RKXOVER
*K0 = 1;
*KN = ATL_vMAX_KB;
*Kinc = 1;
if (!outfile)
outfile = Mstr(Mjoin(Mjoin(atlas_,PRE),rkXover.h));
fprk = fopen(outfile, "w");
assert(fprk);
*nbetas = 2;
*betas = malloc(ATL_MulBySize(1));
assert(*betas );
#ifdef TREAL
**betas = 1.0;
(*betas)[1] = 0.0;
#else
**betas = 1.0;
(*betas)[2] = (*betas)[3] = (*betas)[1] = 0.0;
#endif
*TEST = 0;
#endif
if (*nside == -1)
{
*nside = 1;
*Side = malloc(sizeof(int));
assert(*Side);
**Side = AtlasLeft;
}
if (*nuplo == -1)
{
*nuplo = 1;
*Uplo = malloc(sizeof(int));
assert(*Uplo);
**Uplo = AtlasLower;
}
if (*nta == -1)
{
*nta = 1;
*TransA = malloc(sizeof(int));
assert(*TransA);
**TransA = AtlasNoTrans;
}
if (*ntb == -1)
{
*ntb = 1;
*TransB = malloc(sizeof(int));
assert(*TransB);
**TransB = AtlasNoTrans;
}
if (*ndiag == -1)
{
*ndiag = 1;
*Diag = malloc(sizeof(int));
assert(*Diag);
**Diag = AtlasNonUnit;
}
if (*nalphas == -1)
{
*nalphas = 1;
*alphas = malloc(ATL_MulBySize(1));
assert(*alphas);
#ifdef TREAL
**alphas = 1.0;
#else
**alphas = 1.0;
(*alphas)[1] = 0.0;
#endif
}
if (*nbetas == -1)
{
*nbetas = 1;
*betas = malloc(ATL_MulBySize(1));
assert(*betas );
#ifdef TREAL
**betas = 1.0;
#else
**betas = 1.0;
(*betas)[1] = 0.0;
#endif
#ifdef ATL_NANC
**betas = 0.0;
#endif
}
}
int ___main(){return(-1);} /* this nonsense helps */
int __main(){return(-1);} /* when you link with certain */
int MAIN__(){return(-1);} /* fortran compilers */
int _MAIN_(){return(-1);}
int main(int nargs, char *args[])
/*
* tst <tst> <# TA> <TA's> <# TB's> <TB's> <M0> <MN> <incM> <N0> <NN> <incN>
* <K0> <KN> <incK> <# alphas> <alphas> <# betas> <betas>
*
*/
{
int M0, MN, incM, N0, NN, incN, K0, KN, incK, lda, ldb, ldc, MFLOP;
int i, k, m, n, im, in, ik, ita, itb, ia, ib, nTA, nTB, nalph, nbeta;
int itst=0, ipass=0, TEST, LDA_IS_M, MSAME=0, KSAME=0, r;
int ndiag, nuplo, nside, nrep;
TYPE *alph, *beta, *A, *B, *C, *D=NULL;
#ifdef TREAL
TYPE bet1 = 1.0, alp1 = -1.0;
#else
TYPE bet1[2] = {1.0, 0.0}, alp1[2] = {-1.0, 0.0};
#endif
char TA, TB;
enum ATLAS_SIDE *Side;
enum ATLAS_UPLO *Uplo;
enum ATLAS_TRANS *TransA, *TransB, TAc, TBc;
enum ATLAS_DIAG *Diag;
int CACHESIZE;
GetFlags(nargs, args, &TEST, &nside, &Side, &nuplo, &Uplo,
&nTA, &TransA, &nTB, &TransB, &ndiag, &Diag,
&M0, &MN, &incM, &N0, &NN, &incN, &K0, &KN, &incK,
&nalph, &alph, &nbeta, &beta, &LDA_IS_M, &MFLOP,&CACHESIZE, &nrep);
if (M0 == -1)
{
MSAME = 1;
M0 = MN = incM = NN;
}
if (K0 == -1)
{
KSAME = 1;
K0 = KN = incK = NN;
}
if (!MFLOP)
{
A = malloc(MN*KN*ATL_sizeof);
B = malloc(NN*KN*ATL_sizeof);
C = malloc(MN*NN*ATL_sizeof);
if (TEST) D = malloc(MN*NN*ATL_sizeof);
else D = NULL;
if (!A || !B || !C || (TEST && !D))
{
fprintf(stderr, "Not enough memory to run tests!!\n");
exit(-1);
}
}
/*
* Page the code in from disk, so first timing doesn't blow
*/
if (MFLOP)
{
#ifdef ATL_RKXOVER
k = Mmin(100, KN);
#else
k = 100;
#endif
mmcase0(10, 1, 'n', 'n', 100, 100, k, alp1, 100, 100, bet1, 100);
mmcase0(10, 1, 'n', 't', 100, 100, k, alp1, 100, 100, bet1, 100);
mmcase0(10, 1, 't', 'n', 100, 100, k, alp1, 100, 100, bet1, 100);
mmcase0(10, 1, 't', 't', 100, 100, k, alp1, 100, 100, bet1, 100);
}
else
{
m = Mmin(100, MN);
k = Mmin(100, KN);
n = Mmin(100, NN);
matgen(m, k, A, m, m*k);
matgen(k, n, B, k, n*k);
matgen(m, n, C, m, m*n);
TA = TB = 'N';
TAc = TBc = AtlasNoTrans;
trusted_gemm(TAc, TBc, m, n, k, alp1, A, m, B, k, bet1, C, m);
test_gemm(TAc, TBc, m, n, k, alp1, A, m, B, k, bet1, C, m);
}
#ifdef TREAL
printf("\nTEST TA TB M N K alpha beta Time Mflop SpUp PASS\n");
printf("==== == == === === === ===== ===== ====== ===== ==== ====\n\n");
#else
printf("\nTEST TA TB M N K ralph ialph rbeta ibeta Time Mflop SpUp PASS\n");
printf("==== == == === === === ===== ===== ===== ===== ====== ===== ==== ====\n\n");
#endif
for (im=M0; im <= MN; im += incM)
{
for (n=N0; n <= NN; n += incN)
{
if (MSAME) m = n;
else m = im;
for (ik=K0; ik <= KN; ik += incK)
{
if (KSAME) k = n;
else k = ik;
for (ita=0; ita != nTA; ita++)
{
if (TransA[ita] == AtlasNoTrans) TA = 'N';
else if (TransA[ita] == AtlasTrans) TA = 'T';
else if (TransA[ita] == AtlasConjTrans) TA = 'C';
for (itb=0; itb != nTB; itb++)
{
if (TransB[itb] == AtlasNoTrans) TB = 'N';
else if (TransB[itb] == AtlasTrans) TB = 'T';
else if (TransB[itb] == AtlasConjTrans) TB = 'C';
for (ia=0; ia != nalph; ia++)
{
for (ib=0; ib != nbeta; ib++)
{
itst++;
if (LDA_IS_M)
{
if (TA == 'n' || TA == 'N') lda = m;
else lda = k;
if (TB == 'n' || TB == 'N') ldb = k;
else ldb = n;
ldc = m;
}
else
{
if (TA == 'n' || TA == 'N') lda = MN;
else lda = KN;
if (TB == 'n' || TB == 'N') ldb = KN;
else ldb = NN;
ldc = MN;
}
for (r=0; r < nrep; r++)
{
if (MFLOP)
{
ipass++;
#ifdef TREAL
mmcase0(MFLOP, CACHESIZE, TA, TB, m, n, k,
alph[ia], lda, ldb, beta[ib], ldc);
#else
mmcase0(MFLOP, CACHESIZE, TA, TB, m, n, k,
alph+(ia SHIFT), lda, ldb,
beta+(ib SHIFT), ldc);
#endif
}
else
{
#ifdef TREAL
ipass += mmcase(TEST, CACHESIZE, TA, TB, m,
n, k, alph[ia], A, lda, B, ldb,
beta[ib], C, ldc, D,ldc);
#else
ipass += mmcase(TEST, CACHESIZE, TA, TB, m,
n, k, alph+(ia SHIFT), A,
lda, B, ldb, beta+(ib SHIFT),
C, ldc, D,ldc);
#endif
}
/*
* If we lose 5 times in a row, quit search
*/
#ifdef ATL_RKXOVER
if (k > 16 && /* don't quit too early */
!(speedup_rk_b0[k] | speedup_rk_b0[k-1] |
speedup_rk_b0[k-2] | speedup_rk_b0[k-3] |
speedup_rk_b0[k-4] | speedup_rk[k] |
speedup_rk_b0[k-1] | speedup_rk_b0[k-2] |
speedup_rk_b0[k-3] | speedup_rk[k-4] |
speedup_rk_b0[k-6] | speedup_rk[k-7] |
speedup_rk_b0[k-8] | speedup_rk[k-9] |
speedup_rk_b0[k-10] | speedup_rk[k-11]
)
)
{
MAX_vKB = k-5;
goto RANK_K;
}
#endif
}
}
}
}
}
}
}
}
#ifdef ATL_RKXOVER
RANK_K:
fprintf(fprk, "#ifndef ATLAS_RKXOVER\n #define ATLAS_RKXOVER\n\n");
/*
* First, find last size where we got speedup. Then, if KB > 80, demand
* at > 3% speedup before declaring it worth the extra code
*/
for (speedup_rk_b0[0]=0, n=MAX_vKB; !speedup_rk_b0[n]; n--);
while(n > 80 && speedup_rk_b0[n] < 104) n--;
fprintf(fprk, "#define ATL_RK_MAXK_B0 %d\n", n);
fprintf(fprk, "static int ATL_rkXover_b0[%d] = {0", n+1);
for (i=1; i <= n; i++)
fprintf(fprk, ",%d", speedup_rk_b0[i]);
fprintf(fprk, "};\n");
for (speedup_rk[0]=0, m=MAX_vKB; !speedup_rk[m]; m--);
while(m > 80 && speedup_rk[m] < 104) m--;
fprintf(fprk, "#define ATL_RK_MAXK_BX %d\n", m);
fprintf(fprk, "static int ATL_rkXover_bX[%d] = {0", m+1);
for (i=1; i <= m; i++)
fprintf(fprk, ",%d", speedup_rk[i]);
fprintf(fprk, "};\n");
fprintf(fprk, "#define ATL_RK_MAXK %d\n", m >= n ? m : n);
fprintf(fprk, "\n#endif\n");
fclose(fprk);
#endif
if (TEST && !MFLOP)
printf("\nNTEST=%d, NUMBER PASSED=%d, NUMBER FAILURES=%d\n",
itst, ipass, itst-ipass);
else printf("\nDone with %d timing runs\n",itst);
free(Side);
free(Uplo);
free(TransA);
free(TransB);
free(Diag);
free(alph);
free(beta);
if (!MFLOP)
{
free(A);
free(B);
free(C);
if (D) free(D);
}
return(0);
}
|