VrArrayPtrCF32 BlasComplexSingle::scal_mult(int ndims,VrArrayPtrCF32 X,float complex alpha) {
int N=1;
for(int i=0;i<ndims;i++){
N*=VR_GET_DIMS_CF32(X)[i];
}
VrArrayPtrCF32 Y;//=(VrArrayPtrCF32)mxMalloc(sizeof(VrArrayPtrCF32));
Y=vec_copy(ndims,X);
//mxDuplicateArray(X);
cblas_cscal(N,reinterpret_cast<float*>(&alpha),(float*)VR_GET_DATA_CF32(Y),1);
return Y;
}
void phi_scal(const int N, const Complex *alpha, Complex *X, const int incX){
#ifndef NOBLAS
#ifdef SINGLEPRECISION
cblas_cscal(N,alpha,X,incX);
#else
cblas_zscal(N,alpha,X,incX);
#endif
#else
int i;
for(i = 0; i < N; ++i, X+=incX){
*X *= (*alpha);
}
#endif
}
static void
CORE_cgetrf_reclap_rec(const int M, const int N,
PLASMA_Complex32_t *A, const int LDA,
int *IPIV, int *info,
const int thidx, const int thcnt, const int column)
{
int jp, n1, n2, lm, loff;
PLASMA_Complex32_t tmp1, tmp2, tmp3;
PLASMA_Complex32_t *Atop = A + column*LDA;
/* Assumption: N = min( M, N ); */
if (N > 1) {
int coff, ccnt;
n1 = N / 2;
n2 = N - n1;
CORE_cgetrf_reclap_rec( M, n1, A, LDA, IPIV, info,
thidx, thcnt, column );
if ( *info != 0 )
return;
CORE_cgetrf_reclap_update(M, column, n1, n2,
A, LDA, IPIV,
thidx, thcnt);
CORE_cgetrf_reclap_rec( M, n2, A, LDA, IPIV, info,
thidx, thcnt, column + n1 );
if ( *info != 0 )
return;
psplit( n1, thidx, thcnt, &coff, &ccnt );
if (ccnt > 0) {
CORE_claswap1( ccnt, Atop+coff*LDA, LDA, n1 + column, N + column, IPIV ); /* swap to the left */
}
} else {
int thrd;
CORE_cbarrier_thread( thidx, thcnt );
psplit( M, thidx, thcnt, &loff, &lm );
if (thidx == 0) {
loff = column;
lm -= column;
}
tmp2 = Atop[column]; /* all threads read the pivot element in case they need it */
jp = cblas_icamax( lm, Atop + loff, 1 );
tmp1 = Atop[loff + jp];
CORE_camax1_thread( tmp1, thidx, thcnt, &thrd,
&tmp3, loff + jp + 1, IPIV + column );
Atop[column] = tmp3; /* all threads set the pivot element: no need for synchronization */
if ( tmp3 != 0.0 ) {
if ( cabsf(tmp3) >= sfmin ) {
PLASMA_Complex32_t tmp = (PLASMA_Complex32_t)1.0 / tmp3;
n1 = (thidx == 0) ? 1 : 0;
cblas_cscal( lm - n1, CBLAS_SADDR(tmp), Atop + loff + n1, 1 );
} else {
int i;
PLASMA_Complex32_t *Atop2;
n1 = (thidx == 0) ? 1 : 0;
Atop2 = Atop + loff + n1;
for( i=0; i < lm-n1; i++, Atop2++)
*Atop2 = *Atop2 / tmp3;
}
if (thrd == thidx) { /* the thread that owns the best pivot */
if (loff + jp != column) /* if there is a need to exchange the pivot */
Atop[loff + jp] = tmp2 / tmp3;
}
} else {
*info = column + 1;
return;
}
CORE_cbarrier_thread( thidx, thcnt );
}
}
void
test_scal (void) {
const double flteps = 1e-4, dbleps = 1e-6;
{
int N = 1;
float alpha = 0.0f;
float X[] = { 0.651f };
int incX = -1;
float expected[] = { 0.651f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 112)");
}
};
};
{
int N = 1;
float alpha = 0.1f;
float X[] = { 0.651f };
int incX = -1;
float expected[] = { 0.651f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 113)");
}
};
};
{
int N = 1;
float alpha = 1.0f;
float X[] = { 0.651f };
int incX = -1;
float expected[] = { 0.651f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 114)");
}
};
};
{
int N = 1;
double alpha = 0;
double X[] = { 0.686 };
int incX = -1;
double expected[] = { 0.686 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 115)");
}
};
};
{
int N = 1;
double alpha = 0.1;
double X[] = { 0.686 };
int incX = -1;
double expected[] = { 0.686 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 116)");
}
};
};
{
int N = 1;
double alpha = 1;
double X[] = { 0.686 };
int incX = -1;
double expected[] = { 0.686 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 117)");
}
};
};
{
int N = 1;
float alpha[2] = {0.0f, 0.0f};
float X[] = { 0.986f, -0.775f };
int incX = -1;
float expected[] = { 0.986f, -0.775f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 118) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 118) imag");
};
};
};
{
int N = 1;
float alpha[2] = {0.1f, 0.0f};
float X[] = { 0.986f, -0.775f };
int incX = -1;
float expected[] = { 0.986f, -0.775f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 119) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 119) imag");
};
};
};
{
int N = 1;
float alpha[2] = {1.0f, 0.0f};
float X[] = { 0.986f, -0.775f };
int incX = -1;
float expected[] = { 0.986f, -0.775f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 120) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 120) imag");
};
};
};
{
int N = 1;
float alpha[2] = {0.0f, 0.1f};
float X[] = { 0.986f, -0.775f };
int incX = -1;
float expected[] = { 0.986f, -0.775f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 121) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 121) imag");
};
};
};
{
int N = 1;
float alpha[2] = {0.1f, 0.2f};
float X[] = { 0.986f, -0.775f };
int incX = -1;
float expected[] = { 0.986f, -0.775f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 122) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 122) imag");
};
};
};
{
int N = 1;
float alpha[2] = {1.0f, 0.3f};
float X[] = { 0.986f, -0.775f };
int incX = -1;
float expected[] = { 0.986f, -0.775f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 123) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 123) imag");
};
};
};
{
int N = 1;
double alpha[2] = {0, 0};
double X[] = { 0.454, -0.478 };
int incX = -1;
double expected[] = { 0.454, -0.478 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 124) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 124) imag");
};
};
};
{
int N = 1;
double alpha[2] = {0.1, 0};
double X[] = { 0.454, -0.478 };
int incX = -1;
double expected[] = { 0.454, -0.478 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 125) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 125) imag");
};
};
};
{
int N = 1;
double alpha[2] = {1, 0};
double X[] = { 0.454, -0.478 };
int incX = -1;
double expected[] = { 0.454, -0.478 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 126) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 126) imag");
};
};
};
{
int N = 1;
double alpha[2] = {0, 0.1};
double X[] = { 0.454, -0.478 };
int incX = -1;
double expected[] = { 0.454, -0.478 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 127) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 127) imag");
};
};
};
{
int N = 1;
double alpha[2] = {0.1, 0.2};
double X[] = { 0.454, -0.478 };
int incX = -1;
double expected[] = { 0.454, -0.478 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 128) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 128) imag");
};
};
};
{
int N = 1;
double alpha[2] = {1, 0.3};
double X[] = { 0.454, -0.478 };
int incX = -1;
double expected[] = { 0.454, -0.478 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 1; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 129) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 129) imag");
};
};
};
{
int N = 2;
float alpha = 0.0f;
float X[] = { 0.389f, -0.236f };
int incX = 1;
float expected[] = { 0.0f, -0.0f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 130)");
}
};
};
{
int N = 2;
float alpha = 0.1f;
float X[] = { 0.389f, -0.236f };
int incX = 1;
float expected[] = { 0.0389f, -0.0236f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 131)");
}
};
};
{
int N = 2;
float alpha = 1.0f;
float X[] = { 0.389f, -0.236f };
int incX = 1;
float expected[] = { 0.389f, -0.236f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 132)");
}
};
};
{
int N = 2;
double alpha = 0;
double X[] = { -0.429, -0.183 };
int incX = 1;
double expected[] = { -0.0, -0.0 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 133)");
}
};
};
{
int N = 2;
double alpha = 0.1;
double X[] = { -0.429, -0.183 };
int incX = 1;
double expected[] = { -0.0429, -0.0183 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 134)");
}
};
};
{
int N = 2;
double alpha = 1;
double X[] = { -0.429, -0.183 };
int incX = 1;
double expected[] = { -0.429, -0.183 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 135)");
}
};
};
{
int N = 2;
float alpha[2] = {0.0f, 0.0f};
float X[] = { -0.603f, 0.239f, 0.339f, -0.58f };
int incX = 1;
float expected[] = { -0.0f, 0.0f, 0.0f, 0.0f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 136) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 136) imag");
};
};
};
{
int N = 2;
float alpha[2] = {0.1f, 0.0f};
float X[] = { -0.603f, 0.239f, 0.339f, -0.58f };
int incX = 1;
float expected[] = { -0.0603f, 0.0239f, 0.0339f, -0.058f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 137) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 137) imag");
};
};
};
{
int N = 2;
float alpha[2] = {1.0f, 0.0f};
float X[] = { -0.603f, 0.239f, 0.339f, -0.58f };
int incX = 1;
float expected[] = { -0.603f, 0.239f, 0.339f, -0.58f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 138) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 138) imag");
};
};
};
{
int N = 2;
float alpha[2] = {0.0f, 0.1f};
float X[] = { -0.603f, 0.239f, 0.339f, -0.58f };
int incX = 1;
float expected[] = { -0.0239f, -0.0603f, 0.058f, 0.0339f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 139) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 139) imag");
};
};
};
{
int N = 2;
float alpha[2] = {0.1f, 0.2f};
float X[] = { -0.603f, 0.239f, 0.339f, -0.58f };
int incX = 1;
float expected[] = { -0.1081f, -0.0967f, 0.1499f, 0.0098f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 140) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 140) imag");
};
};
};
{
int N = 2;
float alpha[2] = {1.0f, 0.3f};
float X[] = { -0.603f, 0.239f, 0.339f, -0.58f };
int incX = 1;
float expected[] = { -0.6747f, 0.0581f, 0.513f, -0.4783f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 141) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 141) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0, 0};
double X[] = { -0.956, 0.613, 0.443, 0.503 };
int incX = 1;
double expected[] = { -0.0, 0.0, 0.0, 0.0 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 142) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 142) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0.1, 0};
double X[] = { -0.956, 0.613, 0.443, 0.503 };
int incX = 1;
double expected[] = { -0.0956, 0.0613, 0.0443, 0.0503 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 143) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 143) imag");
};
};
};
{
int N = 2;
double alpha[2] = {1, 0};
double X[] = { -0.956, 0.613, 0.443, 0.503 };
int incX = 1;
double expected[] = { -0.956, 0.613, 0.443, 0.503 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 144) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 144) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0, 0.1};
double X[] = { -0.956, 0.613, 0.443, 0.503 };
int incX = 1;
double expected[] = { -0.0613, -0.0956, -0.0503, 0.0443 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 145) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 145) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0.1, 0.2};
double X[] = { -0.956, 0.613, 0.443, 0.503 };
int incX = 1;
double expected[] = { -0.2182, -0.1299, -0.0563, 0.1389 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 146) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 146) imag");
};
};
};
{
int N = 2;
double alpha[2] = {1, 0.3};
double X[] = { -0.956, 0.613, 0.443, 0.503 };
int incX = 1;
double expected[] = { -1.1399, 0.3262, 0.2921, 0.6359 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 147) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 147) imag");
};
};
};
{
int N = 2;
float alpha = 0.0f;
float X[] = { 0.629f, -0.419f };
int incX = -1;
float expected[] = { 0.629f, -0.419f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 148)");
}
};
};
{
int N = 2;
float alpha = 0.1f;
float X[] = { 0.629f, -0.419f };
int incX = -1;
float expected[] = { 0.629f, -0.419f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 149)");
}
};
};
{
int N = 2;
float alpha = 1.0f;
float X[] = { 0.629f, -0.419f };
int incX = -1;
float expected[] = { 0.629f, -0.419f };
cblas_sscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], flteps, "sscal(case 150)");
}
};
};
{
int N = 2;
double alpha = 0;
double X[] = { 0.398, -0.656 };
int incX = -1;
double expected[] = { 0.398, -0.656 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 151)");
}
};
};
{
int N = 2;
double alpha = 0.1;
double X[] = { 0.398, -0.656 };
int incX = -1;
double expected[] = { 0.398, -0.656 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 152)");
}
};
};
{
int N = 2;
double alpha = 1;
double X[] = { 0.398, -0.656 };
int incX = -1;
double expected[] = { 0.398, -0.656 };
cblas_dscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[i], expected[i], dbleps, "dscal(case 153)");
}
};
};
{
int N = 2;
float alpha[2] = {0.0f, 0.0f};
float X[] = { 0.736f, 0.331f, -0.318f, 0.622f };
int incX = -1;
float expected[] = { 0.736f, 0.331f, -0.318f, 0.622f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 154) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 154) imag");
};
};
};
{
int N = 2;
float alpha[2] = {0.1f, 0.0f};
float X[] = { 0.736f, 0.331f, -0.318f, 0.622f };
int incX = -1;
float expected[] = { 0.736f, 0.331f, -0.318f, 0.622f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 155) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 155) imag");
};
};
};
{
int N = 2;
float alpha[2] = {1.0f, 0.0f};
float X[] = { 0.736f, 0.331f, -0.318f, 0.622f };
int incX = -1;
float expected[] = { 0.736f, 0.331f, -0.318f, 0.622f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 156) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 156) imag");
};
};
};
{
int N = 2;
float alpha[2] = {0.0f, 0.1f};
float X[] = { 0.736f, 0.331f, -0.318f, 0.622f };
int incX = -1;
float expected[] = { 0.736f, 0.331f, -0.318f, 0.622f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 157) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 157) imag");
};
};
};
{
int N = 2;
float alpha[2] = {0.1f, 0.2f};
float X[] = { 0.736f, 0.331f, -0.318f, 0.622f };
int incX = -1;
float expected[] = { 0.736f, 0.331f, -0.318f, 0.622f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 158) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 158) imag");
};
};
};
{
int N = 2;
float alpha[2] = {1.0f, 0.3f};
float X[] = { 0.736f, 0.331f, -0.318f, 0.622f };
int incX = -1;
float expected[] = { 0.736f, 0.331f, -0.318f, 0.622f };
cblas_cscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], flteps, "cscal(case 159) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], flteps, "cscal(case 159) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0, 0};
double X[] = { 0.521, -0.811, 0.556, -0.147 };
int incX = -1;
double expected[] = { 0.521, -0.811, 0.556, -0.147 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 160) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 160) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0.1, 0};
double X[] = { 0.521, -0.811, 0.556, -0.147 };
int incX = -1;
double expected[] = { 0.521, -0.811, 0.556, -0.147 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 161) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 161) imag");
};
};
};
{
int N = 2;
double alpha[2] = {1, 0};
double X[] = { 0.521, -0.811, 0.556, -0.147 };
int incX = -1;
double expected[] = { 0.521, -0.811, 0.556, -0.147 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 162) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 162) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0, 0.1};
double X[] = { 0.521, -0.811, 0.556, -0.147 };
int incX = -1;
double expected[] = { 0.521, -0.811, 0.556, -0.147 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 163) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 163) imag");
};
};
};
{
int N = 2;
double alpha[2] = {0.1, 0.2};
double X[] = { 0.521, -0.811, 0.556, -0.147 };
int incX = -1;
double expected[] = { 0.521, -0.811, 0.556, -0.147 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 164) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 164) imag");
};
};
};
{
int N = 2;
double alpha[2] = {1, 0.3};
double X[] = { 0.521, -0.811, 0.556, -0.147 };
int incX = -1;
double expected[] = { 0.521, -0.811, 0.556, -0.147 };
cblas_zscal(N, alpha, X, incX);
{
int i;
for (i = 0; i < 2; i++) {
gsl_test_rel(X[2*i], expected[2*i], dbleps, "zscal(case 165) real");
gsl_test_rel(X[2*i+1], expected[2*i+1], dbleps, "zscal(case 165) imag");
};
};
};
}
/**
Purpose
-------
CGEEV computes for an N-by-N complex nonsymmetric matrix A, the
eigenvalues and, optionally, the left and/or right eigenvectors.
The right eigenvector v(j) of A satisfies
A * v(j) = lambda(j) * v(j)
where lambda(j) is its eigenvalue.
The left eigenvector u(j) of A satisfies
u(j)**H * A = lambda(j) * u(j)**H
where u(j)**H denotes the conjugate transpose of u(j).
The computed eigenvectors are normalized to have Euclidean norm
equal to 1 and largest component real.
Arguments
---------
@param[in]
jobvl magma_vec_t
- = MagmaNoVec: left eigenvectors of A are not computed;
- = MagmaVec: left eigenvectors of are computed.
@param[in]
jobvr magma_vec_t
- = MagmaNoVec: right eigenvectors of A are not computed;
- = MagmaVec: right eigenvectors of A are computed.
@param[in]
n INTEGER
The order of the matrix A. N >= 0.
@param[in,out]
A COMPLEX array, dimension (LDA,N)
On entry, the N-by-N matrix A.
On exit, A has been overwritten.
@param[in]
lda INTEGER
The leading dimension of the array A. LDA >= max(1,N).
@param[out]
W COMPLEX array, dimension (N)
W contains the computed eigenvalues.
@param[out]
VL COMPLEX array, dimension (LDVL,N)
If JOBVL = MagmaVec, the left eigenvectors u(j) are stored one
after another in the columns of VL, in the same order
as their eigenvalues.
If JOBVL = MagmaNoVec, VL is not referenced.
u(j) = VL(:,j), the j-th column of VL.
@param[in]
ldvl INTEGER
The leading dimension of the array VL. LDVL >= 1; if
JOBVL = MagmaVec, LDVL >= N.
@param[out]
VR COMPLEX array, dimension (LDVR,N)
If JOBVR = MagmaVec, the right eigenvectors v(j) are stored one
after another in the columns of VR, in the same order
as their eigenvalues.
If JOBVR = MagmaNoVec, VR is not referenced.
v(j) = VR(:,j), the j-th column of VR.
@param[in]
ldvr INTEGER
The leading dimension of the array VR. LDVR >= 1; if
JOBVR = MagmaVec, LDVR >= N.
@param[out]
work (workspace) COMPLEX array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
@param[in]
lwork INTEGER
The dimension of the array WORK. LWORK >= (1+nb)*N.
\n
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
@param
rwork (workspace) REAL array, dimension (2*N)
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value.
- > 0: if INFO = i, the QR algorithm failed to compute all the
eigenvalues, and no eigenvectors have been computed;
elements and i+1:N of W contain eigenvalues which have
converged.
@ingroup magma_cgeev_driver
********************************************************************/
extern "C" magma_int_t
magma_cgeev(
magma_vec_t jobvl, magma_vec_t jobvr, magma_int_t n,
magmaFloatComplex *A, magma_int_t lda,
magmaFloatComplex *W,
magmaFloatComplex *VL, magma_int_t ldvl,
magmaFloatComplex *VR, magma_int_t ldvr,
magmaFloatComplex *work, magma_int_t lwork,
float *rwork, magma_int_t *info )
{
#define VL(i,j) (VL + (i) + (j)*ldvl)
#define VR(i,j) (VR + (i) + (j)*ldvr)
magma_int_t c_one = 1;
magma_int_t c_zero = 0;
float d__1, d__2;
magmaFloatComplex tmp;
float scl;
float dum[1], eps;
float anrm, cscale, bignum, smlnum;
magma_int_t i, k, ilo, ihi;
magma_int_t ibal, ierr, itau, iwrk, nout, liwrk, nb;
magma_int_t scalea, minwrk, irwork, lquery, wantvl, wantvr, select[1];
magma_side_t side = MagmaRight;
irwork = 0;
*info = 0;
lquery = (lwork == -1);
wantvl = (jobvl == MagmaVec);
wantvr = (jobvr == MagmaVec);
if (! wantvl && jobvl != MagmaNoVec) {
*info = -1;
} else if (! wantvr && jobvr != MagmaNoVec) {
*info = -2;
} else if (n < 0) {
*info = -3;
} else if (lda < max(1,n)) {
*info = -5;
} else if ( (ldvl < 1) || (wantvl && (ldvl < n))) {
*info = -8;
} else if ( (ldvr < 1) || (wantvr && (ldvr < n))) {
*info = -10;
}
/* Compute workspace */
nb = magma_get_cgehrd_nb( n );
if (*info == 0) {
minwrk = (1+nb)*n;
work[0] = MAGMA_C_MAKE( minwrk, 0 );
if (lwork < minwrk && ! lquery) {
*info = -12;
}
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
else if (lquery) {
return *info;
}
/* Quick return if possible */
if (n == 0) {
return *info;
}
#if defined(VERSION3)
magmaFloatComplex *dT;
if (MAGMA_SUCCESS != magma_cmalloc( &dT, nb*n )) {
*info = MAGMA_ERR_DEVICE_ALLOC;
return *info;
}
#endif
/* Get machine constants */
eps = lapackf77_slamch( "P" );
smlnum = lapackf77_slamch( "S" );
bignum = 1. / smlnum;
lapackf77_slabad( &smlnum, &bignum );
smlnum = magma_ssqrt( smlnum ) / eps;
bignum = 1. / smlnum;
/* Scale A if max element outside range [SMLNUM,BIGNUM] */
anrm = lapackf77_clange( "M", &n, &n, A, &lda, dum );
scalea = 0;
if (anrm > 0. && anrm < smlnum) {
scalea = 1;
cscale = smlnum;
} else if (anrm > bignum) {
scalea = 1;
cscale = bignum;
}
if (scalea) {
lapackf77_clascl( "G", &c_zero, &c_zero, &anrm, &cscale, &n, &n, A, &lda, &ierr );
}
/* Balance the matrix
* (CWorkspace: none)
* (RWorkspace: need N)
* - this space is reserved until after gebak */
ibal = 0;
lapackf77_cgebal( "B", &n, A, &lda, &ilo, &ihi, &rwork[ibal], &ierr );
/* Reduce to upper Hessenberg form
* (CWorkspace: need 2*N, prefer N + N*NB)
* (RWorkspace: N)
* - including N reserved for gebal/gebak, unused by cgehrd */
itau = 0;
iwrk = itau + n;
liwrk = lwork - iwrk;
#if defined(VERSION1)
// Version 1 - LAPACK
lapackf77_cgehrd( &n, &ilo, &ihi, A, &lda,
&work[itau], &work[iwrk], &liwrk, &ierr );
#elif defined(VERSION2)
// Version 2 - LAPACK consistent HRD
magma_cgehrd2( n, ilo, ihi, A, lda,
&work[itau], &work[iwrk], liwrk, &ierr );
#elif defined(VERSION3)
// Version 3 - LAPACK consistent MAGMA HRD + T matrices stored,
magma_cgehrd( n, ilo, ihi, A, lda,
&work[itau], &work[iwrk], liwrk, dT, &ierr );
#endif
if (wantvl) {
/* Want left eigenvectors
* Copy Householder vectors to VL */
side = MagmaLeft;
lapackf77_clacpy( MagmaLowerStr, &n, &n, A, &lda, VL, &ldvl );
/* Generate unitary matrix in VL
* (CWorkspace: need 2*N-1, prefer N + (N-1)*NB)
* (RWorkspace: N)
* - including N reserved for gebal/gebak, unused by cunghr */
#if defined(VERSION1) || defined(VERSION2)
// Version 1 & 2 - LAPACK
lapackf77_cunghr( &n, &ilo, &ihi, VL, &ldvl, &work[itau],
&work[iwrk], &liwrk, &ierr );
#elif defined(VERSION3)
// Version 3 - LAPACK consistent MAGMA HRD + T matrices stored
magma_cunghr( n, ilo, ihi, VL, ldvl, &work[itau], dT, nb, &ierr );
#endif
/* Perform QR iteration, accumulating Schur vectors in VL
* (CWorkspace: need 1, prefer HSWORK (see comments) )
* (RWorkspace: N)
* - including N reserved for gebal/gebak, unused by chseqr */
iwrk = itau;
liwrk = lwork - iwrk;
lapackf77_chseqr( "S", "V", &n, &ilo, &ihi, A, &lda, W,
VL, &ldvl, &work[iwrk], &liwrk, info );
if (wantvr) {
/* Want left and right eigenvectors
* Copy Schur vectors to VR */
side = MagmaBothSides;
lapackf77_clacpy( "F", &n, &n, VL, &ldvl, VR, &ldvr );
}
}
else if (wantvr) {
/* Want right eigenvectors
* Copy Householder vectors to VR */
side = MagmaRight;
lapackf77_clacpy( "L", &n, &n, A, &lda, VR, &ldvr );
/* Generate unitary matrix in VR
* (CWorkspace: need 2*N-1, prefer N + (N-1)*NB)
* (RWorkspace: N)
* - including N reserved for gebal/gebak, unused by cunghr */
#if defined(VERSION1) || defined(VERSION2)
// Version 1 & 2 - LAPACK
lapackf77_cunghr( &n, &ilo, &ihi, VR, &ldvr, &work[itau],
&work[iwrk], &liwrk, &ierr );
#elif defined(VERSION3)
// Version 3 - LAPACK consistent MAGMA HRD + T matrices stored
magma_cunghr( n, ilo, ihi, VR, ldvr, &work[itau], dT, nb, &ierr );
#endif
/* Perform QR iteration, accumulating Schur vectors in VR
* (CWorkspace: need 1, prefer HSWORK (see comments) )
* (RWorkspace: N)
* - including N reserved for gebal/gebak, unused by chseqr */
iwrk = itau;
liwrk = lwork - iwrk;
lapackf77_chseqr( "S", "V", &n, &ilo, &ihi, A, &lda, W,
VR, &ldvr, &work[iwrk], &liwrk, info );
}
else {
/* Compute eigenvalues only
* (CWorkspace: need 1, prefer HSWORK (see comments) )
* (RWorkspace: N)
* - including N reserved for gebal/gebak, unused by chseqr */
iwrk = itau;
liwrk = lwork - iwrk;
lapackf77_chseqr( "E", "N", &n, &ilo, &ihi, A, &lda, W,
VR, &ldvr, &work[iwrk], &liwrk, info );
}
/* If INFO > 0 from CHSEQR, then quit */
if (*info > 0) {
goto CLEANUP;
}
if (wantvl || wantvr) {
/* Compute left and/or right eigenvectors
* (CWorkspace: need 2*N)
* (RWorkspace: need 2*N)
* - including N reserved for gebal/gebak, unused by ctrevc */
irwork = ibal + n;
#if TREVC_VERSION == 1
lapackf77_ctrevc( lapack_side_const(side), "B", select, &n, A, &lda, VL, &ldvl,
VR, &ldvr, &n, &nout, &work[iwrk], &rwork[irwork], &ierr );
#elif TREVC_VERSION == 2
liwrk = lwork - iwrk;
lapackf77_ctrevc3( lapack_side_const(side), "B", select, &n, A, &lda, VL, &ldvl,
VR, &ldvr, &n, &nout, &work[iwrk], &liwrk, &rwork[irwork], &ierr );
#elif TREVC_VERSION == 3
magma_ctrevc3( side, MagmaBacktransVec, select, n, A, lda, VL, ldvl,
VR, ldvr, n, &nout, &work[iwrk], liwrk, &rwork[irwork], &ierr );
#elif TREVC_VERSION == 4
magma_ctrevc3_mt( side, MagmaBacktransVec, select, n, A, lda, VL, ldvl,
VR, ldvr, n, &nout, &work[iwrk], liwrk, &rwork[irwork], &ierr );
#elif TREVC_VERSION == 5
magma_ctrevc3_mt_gpu( side, MagmaBacktransVec, select, n, A, lda, VL, ldvl,
VR, ldvr, n, &nout, &work[iwrk], liwrk, &rwork[irwork], &ierr );
#else
#error Unknown TREVC_VERSION
#endif
}
if (wantvl) {
/* Undo balancing of left eigenvectors
* (CWorkspace: none)
* (RWorkspace: need N) */
lapackf77_cgebak( "B", "L", &n, &ilo, &ihi, &rwork[ibal], &n,
VL, &ldvl, &ierr );
/* Normalize left eigenvectors and make largest component real */
for (i = 0; i < n; ++i) {
scl = 1. / cblas_scnrm2( n, VL(0,i), 1 );
cblas_csscal( n, scl, VL(0,i), 1 );
for (k = 0; k < n; ++k) {
/* Computing 2nd power */
d__1 = MAGMA_C_REAL( *VL(k,i) );
d__2 = MAGMA_C_IMAG( *VL(k,i) );
rwork[irwork + k] = d__1*d__1 + d__2*d__2;
}
k = cblas_isamax( n, &rwork[irwork], 1 );
tmp = MAGMA_C_CNJG( *VL(k,i) ) / magma_ssqrt( rwork[irwork + k] );
cblas_cscal( n, CBLAS_SADDR(tmp), VL(0,i), 1 );
*VL(k,i) = MAGMA_C_MAKE( MAGMA_C_REAL( *VL(k,i) ), 0. );
}
}
if (wantvr) {
/* Undo balancing of right eigenvectors
* (CWorkspace: none)
* (RWorkspace: need N) */
lapackf77_cgebak( "B", "R", &n, &ilo, &ihi, &rwork[ibal], &n,
VR, &ldvr, &ierr );
/* Normalize right eigenvectors and make largest component real */
for (i = 0; i < n; ++i) {
scl = 1. / cblas_scnrm2( n, VR(0,i), 1 );
cblas_csscal( n, scl, VR(0,i), 1 );
for (k = 0; k < n; ++k) {
/* Computing 2nd power */
d__1 = MAGMA_C_REAL( *VR(k,i) );
d__2 = MAGMA_C_IMAG( *VR(k,i) );
rwork[irwork + k] = d__1*d__1 + d__2*d__2;
}
k = cblas_isamax( n, &rwork[irwork], 1 );
tmp = MAGMA_C_CNJG( *VR(k,i) ) / magma_ssqrt( rwork[irwork + k] );
cblas_cscal( n, CBLAS_SADDR(tmp), VR(0,i), 1 );
*VR(k,i) = MAGMA_C_MAKE( MAGMA_C_REAL( *VR(k,i) ), 0. );
}
}
CLEANUP:
/* Undo scaling if necessary */
if (scalea) {
// converged eigenvalues, stored in WR[i+1:n] and WI[i+1:n] for i = INFO
magma_int_t nval = n - (*info);
magma_int_t ld = max( nval, 1 );
lapackf77_clascl( "G", &c_zero, &c_zero, &cscale, &anrm, &nval, &c_one, W + (*info), &ld, &ierr );
if (*info > 0) {
// first ilo columns were already upper triangular,
// so the corresponding eigenvalues are also valid.
nval = ilo - 1;
lapackf77_clascl( "G", &c_zero, &c_zero, &cscale, &anrm, &nval, &c_one, W, &n, &ierr );
}
}
#if defined(VERSION3)
magma_free( dT );
#endif
work[0] = MAGMA_C_MAKE( (float) minwrk, 0. ); // TODO use optwrk as in dgeev
return *info;
} /* magma_cgeev */
void F77_cscal(const int *N, const void * *alpha, void *X,
const int *incX)
{
cblas_cscal(*N, alpha, X, *incX);
return;
}
void HostVector<std::complex<float> >::Scale(const std::complex<float> alpha) {
cblas_cscal(this->size_, &alpha, this->vec_, 1);
}
VALUE rb_blas_xscal_mod(int argc, VALUE *argv, VALUE self)
{
Matrix *dx;
int incx;
int n;
float da_f;
double da_d;
float da_c[2];
double da_z[2];
//char error_msg[64];
VALUE da_value, n_value, incx_value;
rb_scan_args(argc, argv, "12", &da_value, &incx_value, &n_value);
Data_Get_Struct(self, Matrix, dx);
if(incx_value == Qnil)
incx = 1;
else
incx = NUM2INT(incx_value);
if(n_value == Qnil)
n = dx->nrows;
else
n = NUM2INT(n_value);
if(dx == NULL || dx->ncols != 1)
{ //sprintf(error_msg, "Self is not a Vector");
rb_raise(rb_eRuntimeError, "Self is not a Vector");
}
switch(dx->data_type)
{
case Single_t: //s
if(da_value == Qnil)
da_f = (float) 1.0;
else
da_f = (float) NUM2DBL(da_value);
cblas_sscal(n , da_f, (float *)dx->data, incx );
break;
case Double_t: //d
if(da_value == Qnil)
da_d = (double) 1.0;
else
da_d = NUM2DBL(da_value);
cblas_dscal(n , da_d, (double *)dx->data, incx );
break;
case Complex_t: //c
if(da_value == Qnil)
{
da_c[0] = (float) 1.0;
da_c[1] = (float) 0.0;
}
else
{
da_c[0] = (float) NUM2DBL(rb_funcall( rb_intern("Complex"), rb_intern("real"), 1, da_value) );
da_c[1] = (float) NUM2DBL(rb_funcall(rb_intern("Complex"), rb_intern("image"), 1, da_value ) );
}
cblas_cscal(n , da_c, dx->data, incx );
break;
case Double_Complex_t: //z
if(da_value == Qnil)
{
da_z[0] = (double) 1.0;
da_z[1] = (double) 0.0;
}
else
{
da_z[0] = NUM2DBL(rb_funcall( rb_intern("Complex"), rb_intern("real"), 1, da_value) );
da_z[1] = NUM2DBL(rb_funcall(rb_intern("Complex"), rb_intern("image"), 1, da_value ) );
}
cblas_zscal(n , da_z, dx->data, incx );
break;
default:
//sprintf(error_msg, "Invalid data_type (%d) in Matrix", dx->data_type);
rb_raise(rb_eRuntimeError, "Invalid data_type (%d) in Matrix", dx->data_type);
break; //Never reaches here.
}
return self;
}
DLLEXPORT void c_scale(const blasint n, const openblas_complex_float alpha, openblas_complex_float x[]) {
cblas_cscal(n, (float*)&alpha, (float*)x, 1);
}