#include <stdio.h>
#include <bench/aux.h>
#include <bench/refblas.h>
#include <bench/errbound.h>
#include <ulmblas/level1.h>
#include <ulmblas/level2.h>
#include <ulmblas/level3.h>
#ifndef DTRLSM_MC
#define DTRLSM_MC 64
#endif
#ifndef DTRLSM_NC
#define DTRLSM_NC 64
#endif
void
dtrlsm_simple_unblk(int m, int n, double alpha, int unitDiag,
const double *A, int incRowA, int incColA,
double *B, int incRowB, int incColB)
{
int i, j;
if (alpha!=1) {
for (j=0; j<n; ++j) {
for (i=0; i<m; ++i) {
B[i*incRowB+j*incColB] *= alpha;
}
}
}
for (j=0; j<n; ++j) {
dtrlsv_ref(m, unitDiag, A, incRowA, incColA, &B[j*incColB], incRowB);
}
}
void
dtrlsm_simple_blk(int m, int n, double alpha, int unitDiag,
const double *A, int incRowA, int incColA,
double *B, int incRowB, int incColB)
{
int i, j, l;
const int NC = DTRLSM_NC;
const int MC = DTRLSM_MC;
for (j=0; j<n; j+=NC) {
const int nc = (j+NC<=n) ? NC : n-j;
for (i=0; i<m; i+=MC) {
const int mc = (i+MC<=m) ? MC : m-i;
const double alpha_ = (i==0) ? alpha : 1;
dtrlsm_simple_unblk(mc, nc, alpha_, unitDiag,
&A[i*(incRowA+incColA)], incRowA, incColA,
&B[i*incRowB+j*incColB], incRowB, incColB);
for (l=i+MC; l<m; l+= MC) {
const int kc = (l+MC<=m) ? MC : m-l;
dgemm(kc, nc, mc,
-1.0,
&A[l*incRowA+i*incColA], incRowA, incColA,
&B[i*incRowB+j*incColB], incRowB, incColB,
alpha_,
&B[l*incRowB+j*incColB], incRowB, incColB);
}
}
}
}
#ifndef MIN_M
#define MIN_M 100
#endif
#ifndef MAX_M
#define MAX_M 1500
#endif
#ifndef INC_M
#define INC_M 100
#endif
#ifndef MIN_N
#define MIN_N 100
#endif
#ifndef MAX_N
#define MAX_N 1500
#endif
#ifndef INC_N
#define INC_N 100
#endif
#ifndef ROWMAJOR
#define ROWMAJOR 0
#endif
#ifndef ALPHA
#define ALPHA 2.5
#endif
#ifndef UNITDIAG
#define UNITDIAG 0
#endif
#if (ROWMAJOR==1)
# define INCROW_A MAX_M
# define INCCOL_A 1
#else
# define INCROW_A 1
# define INCCOL_A MAX_M
#endif
#if (ROWMAJOR==1)
# define INCROW_B MAX_N
# define INCCOL_B 1
#else
# define INCROW_B 1
# define INCCOL_B MAX_M
#endif
double A[MAX_M*MAX_M];
double B[MAX_M*MAX_M];
double X0[MAX_M*MAX_N];
double X1[MAX_M*MAX_N];
int
main()
{
int m, n;
randGeMatrix(MAX_M, MAX_M, A, INCROW_A, INCCOL_A);
makeTrlDiagDom(MAX_M, UNITDIAG, A, INCROW_A, INCCOL_A);
randGeMatrix(MAX_M, MAX_N, B, INCROW_B, INCCOL_B);
printf("#UNITDIAG=%3d\n", UNITDIAG);
printf("# %51s %25s\n", "dtrlsv_ref", "dtrlsv_row");
printf("#%9s %9s %9s", "n", "INCROW_A", "INCCOL_A");
printf(" %9s %9s", "INCROW_B", "INCCOL_B");
printf(" %12s %12s", "t", "MFLOPS");
printf(" %12s %12s %12s", "t", "MFLOPS", "err");
printf("\n");
for (m=MIN_M, n=MIN_N; m<=MAX_M && n<=MAX_N; m+=INC_M, n+=INC_N) {
int runs = 1;
double ops = (double)n*m*(m+1)/2 + (double)n*m*(m-1)/2;
double t0, dt, err;
printf(" %9d %9d %9d", n, INCROW_A, INCCOL_A);
printf(" %9d %9d", INCROW_B, INCCOL_B);
t0 = 0;
runs = 0;
do {
dgecopy(m, n, B, INCROW_B, INCCOL_B, X0, INCROW_B, INCCOL_B);
dt = walltime();
dtrlsm_ref(m, n, (double)ALPHA, UNITDIAG,
A, INCROW_A, INCCOL_A,
X0, INCROW_B, INCCOL_B);
dt = walltime() - dt;
t0 += dt;
++runs;
} while (t0<0.3);
t0 /= runs;
printf(" %12.2e %12.2lf", t0, ops/(1000*1000*t0));
t0 = 0;
runs = 0;
do {
dgecopy(m, n, B, INCROW_B, INCCOL_B, X1, INCROW_B, INCCOL_B);
dt = walltime();
dtrlsm_simple_blk(m, n, (double)ALPHA, UNITDIAG,
A, INCROW_A, INCCOL_A,
X1, INCROW_B, INCCOL_B);
dt = walltime() - dt;
t0 += dt;
++runs;
} while (t0<0.3);
t0 /= runs;
err = err_dtrsm(m, n, ALPHA, UNITDIAG, 1,
A, INCROW_A, INCCOL_A,
X0, INCROW_B, INCCOL_B,
X1, INCROW_B, INCCOL_B);
printf(" %12.2e %12.2lf %12.2e", t0, ops/(1000*1000*t0), err);
printf("\n");
}
return 0;
}