#include #include #include #include #include "tests.h" void test_hbmv (void) { const double flteps = 1e-4, dbleps = 1e-6; { int order = 101; int uplo = 121; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { 0.02698f, 0.521724f, -0.379354f, 1.27743f, -0.25427f, -0.043268f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1086) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1086) imag"); }; }; }; { int order = 101; int uplo = 121; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { 0.02698f, 0.521724f, -0.379354f, 1.27743f, -0.25427f, -0.043268f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1087) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1087) imag"); }; }; }; { int order = 101; int uplo = 122; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { -0.06422f, -0.016288f, 0.734206f, 0.108366f, -0.411982f, 0.347068f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1088) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1088) imag"); }; }; }; { int order = 101; int uplo = 122; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { -0.06422f, -0.016288f, 0.734206f, 0.108366f, -0.411982f, 0.347068f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1089) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1089) imag"); }; }; }; { int order = 102; int uplo = 121; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { 0.19354f, 0.056192f, 0.72585f, 0.42717f, -0.2047f, 0.405354f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1090) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1090) imag"); }; }; }; { int order = 102; int uplo = 121; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { 0.19354f, 0.056192f, 0.72585f, 0.42717f, -0.2047f, 0.405354f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1091) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1091) imag"); }; }; }; { int order = 102; int uplo = 122; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { -0.151304f, 0.471592f, -0.507714f, -0.304446f, -1.16395f, -0.299062f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1092) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1092) imag"); }; }; }; { int order = 102; int uplo = 122; float alpha[2] = {0.0f, 1.0f}; float beta[2] = {-0.3f, 0.1f}; int N = 3; int k = 1; int lda = 3; float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f }; float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f }; int incX = -1; float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f }; int incY = -1; float y_expected[] = { -0.151304f, 0.471592f, -0.507714f, -0.304446f, -1.16395f, -0.299062f }; cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1093) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1093) imag"); }; }; }; { int order = 101; int uplo = 121; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -0.902712, -0.524419, -0.307439, -2.167713, 1.059385, 1.104445 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1094) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1094) imag"); }; }; }; { int order = 101; int uplo = 121; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -0.902712, -0.524419, -0.307439, -2.167713, 1.059385, 1.104445 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1095) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1095) imag"); }; }; }; { int order = 101; int uplo = 122; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -0.960834, -0.558818, 1.042598, -1.102864, 0.507945, 0.11149 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1096) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1096) imag"); }; }; }; { int order = 101; int uplo = 122; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -0.960834, -0.558818, 1.042598, -1.102864, 0.507945, 0.11149 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1097) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1097) imag"); }; }; }; { int order = 102; int uplo = 121; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -1.626828, 0.003954, 0.437012, -2.365106, 0.446715, 0.16323 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1098) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1098) imag"); }; }; }; { int order = 102; int uplo = 121; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -1.626828, 0.003954, 0.437012, -2.365106, 0.446715, 0.16323 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1099) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1099) imag"); }; }; }; { int order = 102; int uplo = 122; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -0.097302, -1.204999, 1.168771, -0.822543, 0.734395, 1.379065 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1100) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1100) imag"); }; }; }; { int order = 102; int uplo = 122; double alpha[2] = {1, 0}; double beta[2] = {1, 0}; int N = 3; int k = 1; int lda = 3; double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 }; double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 }; int incX = -1; double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 }; int incY = -1; double y_expected[] = { -0.097302, -1.204999, 1.168771, -0.822543, 0.734395, 1.379065 }; cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY); { int i; for (i = 0; i < 3; i++) { gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1101) real"); gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1101) imag"); }; }; }; }