void libblis_test_subv_check( obj_t* alpha, obj_t* beta, obj_t* x, obj_t* y, double* resid ) { num_t dt = bli_obj_datatype( *x ); num_t dt_real = bli_obj_datatype_proj_to_real( *x ); dim_t m = bli_obj_vector_dim( *x ); conj_t conjx = bli_obj_conj_status( *x ); obj_t aminusb; obj_t alpha_conj; obj_t norm_r, m_r, temp_r; double junk; // // Pre-conditions: // - x is set to alpha. // - y_orig is set to beta. // Note: // - alpha and beta should have non-zero imaginary components in the // complex cases in order to more fully exercise the implementation. // // Under these conditions, we assume that the implementation for // // y := y_orig - conjx(x) // // is functioning correctly if // // normfv(y) - sqrt( absqsc( beta - conjx(alpha) ) * m ) // // is negligible. // bli_obj_scalar_init_detached( dt, &aminusb ); bli_obj_scalar_init_detached( dt_real, &temp_r ); bli_obj_scalar_init_detached( dt_real, &norm_r ); bli_obj_scalar_init_detached( dt_real, &m_r ); bli_obj_scalar_init_detached_copy_of( dt, conjx, alpha, &alpha_conj ); bli_normfv( y, &norm_r ); bli_copysc( beta, &aminusb ); bli_subsc( &alpha_conj, &aminusb ); bli_setsc( ( double )m, 0.0, &m_r ); bli_absqsc( &aminusb, &temp_r ); bli_mulsc( &m_r, &temp_r ); bli_sqrtsc( &temp_r, &temp_r ); bli_subsc( &temp_r, &norm_r ); bli_getsc( &norm_r, resid, &junk ); }
void libblis_test_normfm_check ( test_params_t* params, obj_t* beta, obj_t* x, obj_t* norm, double* resid ) { num_t dt_real = bli_obj_datatype_proj_to_real( *x ); dim_t m = bli_obj_length( *x ); dim_t n = bli_obj_width( *x ); obj_t m_r, n_r, temp_r; double junk; // // Pre-conditions: // - x is set to beta. // Note: // - beta should have a non-zero imaginary component in the complex // cases in order to more fully exercise the implementation. // // Under these conditions, we assume that the implementation for // // norm := normf( x ) // // is functioning correctly if // // norm = sqrt( absqsc( beta ) * m * n ) // // where m and n are the dimensions of x. // bli_obj_scalar_init_detached( dt_real, &temp_r ); bli_obj_scalar_init_detached( dt_real, &m_r ); bli_obj_scalar_init_detached( dt_real, &n_r ); bli_setsc( ( double )m, 0.0, &m_r ); bli_setsc( ( double )n, 0.0, &n_r ); bli_absqsc( beta, &temp_r ); bli_mulsc( &m_r, &temp_r ); bli_mulsc( &n_r, &temp_r ); bli_sqrtsc( &temp_r, &temp_r ); bli_subsc( &temp_r, norm ); bli_getsc( norm, resid, &junk ); }
void libblis_test_fnormv_check( obj_t* beta, obj_t* x, obj_t* norm, double* resid ) { num_t dt_real = bli_obj_datatype_proj_to_real( *x ); dim_t m = bli_obj_vector_dim( *x ); obj_t m_r, temp_r; double junk; // // Pre-conditions: // - x is set to beta. // Note: // - beta should have a non-zero imaginary component in the complex // cases in order to more fully exercise the implementation. // // Under these conditions, we assume that the implementation for // // norm := fnorm( x ) // // is functioning correctly if // // norm = sqrt( absqsc( beta ) * m ) // // where m is the length of x. // bli_obj_init_scalar( dt_real, &temp_r ); bli_obj_init_scalar( dt_real, &m_r ); bli_setsc( ( double )m, 0.0, &m_r ); bli_absqsc( beta, &temp_r ); bli_mulsc( &m_r, &temp_r ); bli_sqrtsc( &temp_r, &temp_r ); bli_subsc( &temp_r, norm ); bli_getsc( norm, resid, &junk ); }
void libblis_test_dotaxpyv_check( obj_t* alpha, obj_t* xt, obj_t* x, obj_t* y, obj_t* rho, obj_t* z, obj_t* z_orig, double* resid ) { num_t dt = bli_obj_datatype( *z ); num_t dt_real = bli_obj_datatype_proj_to_real( *z ); dim_t m = bli_obj_vector_dim( *z ); obj_t rho_temp; obj_t z_temp; obj_t norm_z; double resid1, resid2; double junk; // // Pre-conditions: // - x is randomized. // - y is randomized. // - z_orig is randomized. // - xt is an alias to x. // Note: // - alpha should have a non-zero imaginary component in the complex // cases in order to more fully exercise the implementation. // // Under these conditions, we assume that the implementation for // // rho := conjxt(x^T) conjy(y) // z := z_orig + alpha * conjx(x) // // is functioning correctly if // // ( rho - rho_temp ) // // and // // normf( z - z_temp ) // // are negligible, where rho_temp and z_temp contain rho and z as // computed by dotv and axpyv, respectively. // bli_obj_scalar_init_detached( dt, &rho_temp ); bli_obj_scalar_init_detached( dt_real, &norm_z ); bli_obj_create( dt, m, 1, 0, 0, &z_temp ); bli_copyv( z_orig, &z_temp ); bli_dotv( xt, y, &rho_temp ); bli_axpyv( alpha, x, &z_temp ); bli_subsc( rho, &rho_temp ); bli_getsc( &rho_temp, &resid1, &junk ); bli_subv( &z_temp, z ); bli_normfv( z, &norm_z ); bli_getsc( &norm_z, &resid2, &junk ); *resid = bli_fmaxabs( resid1, resid2 ); bli_obj_free( &z_temp ); }