libflame
revision_anchor
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Functions | |
FLA_Error | FLA_Tridiag_UT_l_ofu_var2 (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_Tridiag_UT_l_step_ofu_var2 (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_Tridiag_UT_l_step_ofs_var2 (int m_A, int m_T, float *buff_A, int rs_A, int cs_A, float *buff_T, int rs_T, int cs_T) |
FLA_Error | FLA_Tridiag_UT_l_step_ofd_var2 (int m_A, int m_T, double *buff_A, int rs_A, int cs_A, double *buff_T, int rs_T, int cs_T) |
FLA_Error | FLA_Tridiag_UT_l_step_ofc_var2 (int m_A, int m_T, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_T, int rs_T, int cs_T) |
FLA_Error | FLA_Tridiag_UT_l_step_ofz_var2 (int m_A, int m_T, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_T, int rs_T, int cs_T) |
FLA_Error FLA_Tridiag_UT_l_ofu_var2 | ( | FLA_Obj | A, |
FLA_Obj | T | ||
) |
References FLA_Tridiag_UT_l_step_ofu_var2().
{ return FLA_Tridiag_UT_l_step_ofu_var2( A, T ); }
FLA_Error FLA_Tridiag_UT_l_step_ofc_var2 | ( | int | m_A, |
int | m_T, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
scomplex * | buff_T, | ||
int | rs_T, | ||
int | cs_T | ||
) |
References bl1_caxpyv(), bl1_ccopyv(), bl1_cdot(), bl1_cgemv(), bl1_chemv(), bl1_cher2(), bl1_cscalv(), BLIS1_CONJ_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_free(), FLA_Fused_Her2_Ax_l_opc_var1(), FLA_Househ2_UT_l_opc(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.
Referenced by FLA_Tridiag_UT_l_step_ofu_var2().
{ scomplex* buff_2 = FLA_COMPLEX_PTR( FLA_TWO ); scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_0 = FLA_COMPLEX_PTR( FLA_ZERO ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); scomplex first_elem; scomplex beta; scomplex inv_tau11; scomplex minus_inv_tau11; scomplex minus_upsilon11, minus_conj_upsilon11; scomplex minus_zeta11, minus_conj_zeta11; int i; // b_alg = FLA_Obj_length( T ); int b_alg = m_T; // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w ); scomplex* buff_u = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) ); scomplex* buff_z = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) ); scomplex* buff_w = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) ); int inc_u = 1; int inc_z = 1; int inc_w = 1; // Initialize some variables (only to prevent compiler warnings). first_elem = *buff_0; minus_inv_tau11 = *buff_0; for ( i = 0; i < b_alg; ++i ) { scomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; scomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; scomplex* t01 = buff_T + (i )*cs_T + (0 )*rs_T; scomplex* tau11 = buff_T + (i )*cs_T + (i )*rs_T; scomplex* upsilon11= buff_u + (i )*inc_u; scomplex* u21 = buff_u + (i+1)*inc_u; scomplex* zeta11 = buff_z + (i )*inc_z; scomplex* z21 = buff_z + (i+1)*inc_z; scomplex* w21 = buff_w + (i+1)*inc_w; scomplex* a21_t = a21 + (0 )*cs_A + (0 )*rs_A; scomplex* a21_b = a21 + (0 )*cs_A + (1 )*rs_A; int m_ahead = m_A - i - 1; int m_behind = i; int n_behind = i; /*------------------------------------------------------------*/ if ( m_behind > 0 ) { // FLA_Copy( upsilon11, minus_upsilon11 ); // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 ); // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 ); bl1_cmult3( buff_m1, upsilon11, &minus_upsilon11 ); bl1_ccopyconj( &minus_upsilon11, &minus_conj_upsilon11 ); // FLA_Copy( zeta11, minus_zeta11 ); // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 ); // FLA_Copy( minus_zeta11, minus_conj_zeta11 ); bl1_cmult3( buff_m1, zeta11, &minus_zeta11 ); bl1_ccopyconj( &minus_zeta11, &minus_conj_zeta11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11, alpha11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11, upsilon11, alpha11 ); bl1_caxpyv( BLIS1_CONJUGATE, 1, &minus_upsilon11, zeta11, 1, alpha11, 1 ); bl1_caxpyv( BLIS1_CONJUGATE, 1, &minus_zeta11, upsilon11, 1, alpha11, 1 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11, u21, a21 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 ); bl1_caxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_zeta11, u21, inc_u, a21, rs_A ); bl1_caxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_upsilon11, z21, inc_z, a21, rs_A ); } if ( m_ahead > 0 ) { // FLA_Househ2_UT( FLA_LEFT, // a21_t, // a21_b, tau11 ); FLA_Househ2_UT_l_opc( m_ahead - 1, a21_t, a21_b, rs_A, tau11 ); // FLA_Set( FLA_ONE, inv_tau11 ); // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 ); // FLA_Copy( inv_tau11, minus_inv_tau11 ); // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 ); bl1_cdiv3( buff_1, tau11, &inv_tau11 ); bl1_cneg2( &inv_tau11, &minus_inv_tau11 ); // FLA_Copy( a21_t, first_elem ); // FLA_Set( FLA_ONE, a21_t ); first_elem = *a21_t; *a21_t = *buff_1; } if ( m_behind > 0 && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); FLA_Fused_Her2_Ax_l_opc_var1( m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A, a21, rs_A, w21, inc_w ); } else if ( m_ahead > 0 ) { // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); bl1_chemv( BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, m_ahead, buff_1, A22, rs_A, cs_A, a21, rs_A, buff_0, w21, inc_w ); } if ( m_ahead > 0 ) { // FLA_Copy( a21, u21 ); // FLA_Copy( w21, z21 ); bl1_ccopyv( BLIS1_NO_CONJUGATE, m_ahead, a21, rs_A, u21, inc_u ); bl1_ccopyv( BLIS1_NO_CONJUGATE, m_ahead, w21, inc_w, z21, inc_z ); // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta ); // FLA_Inv_scal( FLA_TWO, beta ); bl1_cdot( BLIS1_CONJUGATE, m_ahead, a21, rs_A, z21, inc_z, &beta ); bl1_cinvscals( buff_2, &beta ); // FLA_Scal( minus_inv_tau11, beta ); // FLA_Axpy( beta, a21, z21 ); // FLA_Scal( inv_tau11, z21 ); bl1_cscals( &minus_inv_tau11, &beta ); bl1_caxpyv( BLIS1_NO_CONJUGATE, m_ahead, &beta, a21, rs_A, z21, inc_z ); bl1_cscalv( BLIS1_NO_CONJUGATE, m_ahead, &inv_tau11, z21, inc_z ); // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 ); bl1_cgemv( BLIS1_CONJ_TRANSPOSE, BLIS1_NO_CONJUGATE, m_ahead, n_behind, buff_1, A20, rs_A, cs_A, a21, rs_A, buff_0, t01, rs_T ); // FLA_Copy( first_elem, a21_t ); *a21_t = first_elem; } if ( m_behind + 1 == b_alg && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); bl1_cher2( BLIS1_LOWER_TRIANGULAR, BLIS1_NO_TRANSPOSE, m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A ); } /*------------------------------------------------------------*/ } // FLA_Obj_free( &u ); // FLA_Obj_free( &z ); // FLA_Obj_free( &w ); FLA_free( buff_u ); FLA_free( buff_z ); FLA_free( buff_w ); return FLA_SUCCESS; }
FLA_Error FLA_Tridiag_UT_l_step_ofd_var2 | ( | int | m_A, |
int | m_T, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
double * | buff_T, | ||
int | rs_T, | ||
int | cs_T | ||
) |
References bl1_daxpyv(), bl1_dcopyv(), bl1_ddot(), bl1_dgemv(), bl1_dscalv(), bl1_dsymv(), bl1_dsyr2(), BLIS1_CONJ_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, FLA_free(), FLA_Fused_Her2_Ax_l_opd_var1(), FLA_Househ2_UT_l_opd(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.
Referenced by FLA_Tridiag_UT_l_step_ofu_var2().
{ double* buff_2 = FLA_DOUBLE_PTR( FLA_TWO ); double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_0 = FLA_DOUBLE_PTR( FLA_ZERO ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); double first_elem; double beta; double inv_tau11; double minus_inv_tau11; double minus_upsilon11, minus_conj_upsilon11; double minus_zeta11, minus_conj_zeta11; int i; // b_alg = FLA_Obj_length( T ); int b_alg = m_T; // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w ); double* buff_u = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) ); double* buff_z = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) ); double* buff_w = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) ); int inc_u = 1; int inc_z = 1; int inc_w = 1; // Initialize some variables (only to prevent compiler warnings). first_elem = *buff_0; minus_inv_tau11 = *buff_0; for ( i = 0; i < b_alg; ++i ) { double* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; double* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; double* t01 = buff_T + (i )*cs_T + (0 )*rs_T; double* tau11 = buff_T + (i )*cs_T + (i )*rs_T; double* upsilon11= buff_u + (i )*inc_u; double* u21 = buff_u + (i+1)*inc_u; double* zeta11 = buff_z + (i )*inc_z; double* z21 = buff_z + (i+1)*inc_z; double* w21 = buff_w + (i+1)*inc_w; double* a21_t = a21 + (0 )*cs_A + (0 )*rs_A; double* a21_b = a21 + (0 )*cs_A + (1 )*rs_A; int m_ahead = m_A - i - 1; int m_behind = i; int n_behind = i; /*------------------------------------------------------------*/ if ( m_behind > 0 ) { // FLA_Copy( upsilon11, minus_upsilon11 ); // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 ); // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 ); bl1_dmult3( buff_m1, upsilon11, &minus_upsilon11 ); bl1_dcopyconj( &minus_upsilon11, &minus_conj_upsilon11 ); // FLA_Copy( zeta11, minus_zeta11 ); // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 ); // FLA_Copy( minus_zeta11, minus_conj_zeta11 ); bl1_dmult3( buff_m1, zeta11, &minus_zeta11 ); bl1_dcopyconj( &minus_zeta11, &minus_conj_zeta11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11, alpha11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11, upsilon11, alpha11 ); bl1_daxpyv( BLIS1_CONJUGATE, 1, &minus_upsilon11, zeta11, 1, alpha11, 1 ); bl1_daxpyv( BLIS1_CONJUGATE, 1, &minus_zeta11, upsilon11, 1, alpha11, 1 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11, u21, a21 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 ); bl1_daxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_zeta11, u21, inc_u, a21, rs_A ); bl1_daxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_upsilon11, z21, inc_z, a21, rs_A ); } if ( m_ahead > 0 ) { // FLA_Househ2_UT( FLA_LEFT, // a21_t, // a21_b, tau11 ); FLA_Househ2_UT_l_opd( m_ahead - 1, a21_t, a21_b, rs_A, tau11 ); // FLA_Set( FLA_ONE, inv_tau11 ); // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 ); // FLA_Copy( inv_tau11, minus_inv_tau11 ); // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 ); bl1_ddiv3( buff_1, tau11, &inv_tau11 ); bl1_dneg2( &inv_tau11, &minus_inv_tau11 ); // FLA_Copy( a21_t, first_elem ); // FLA_Set( FLA_ONE, a21_t ); first_elem = *a21_t; *a21_t = *buff_1; } if ( m_behind > 0 && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); FLA_Fused_Her2_Ax_l_opd_var1( m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A, a21, rs_A, w21, inc_w ); } else if ( m_ahead > 0 ) { // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); bl1_dsymv( BLIS1_LOWER_TRIANGULAR, m_ahead, buff_1, A22, rs_A, cs_A, a21, rs_A, buff_0, w21, inc_w ); } if ( m_ahead > 0 ) { // FLA_Copy( a21, u21 ); // FLA_Copy( w21, z21 ); bl1_dcopyv( BLIS1_NO_CONJUGATE, m_ahead, a21, rs_A, u21, inc_u ); bl1_dcopyv( BLIS1_NO_CONJUGATE, m_ahead, w21, inc_w, z21, inc_z ); // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta ); // FLA_Inv_scal( FLA_TWO, beta ); bl1_ddot( BLIS1_CONJUGATE, m_ahead, a21, rs_A, z21, inc_z, &beta ); bl1_dinvscals( buff_2, &beta ); // FLA_Scal( minus_inv_tau11, beta ); // FLA_Axpy( beta, a21, z21 ); // FLA_Scal( inv_tau11, z21 ); bl1_dscals( &minus_inv_tau11, &beta ); bl1_daxpyv( BLIS1_NO_CONJUGATE, m_ahead, &beta, a21, rs_A, z21, inc_z ); bl1_dscalv( BLIS1_NO_CONJUGATE, m_ahead, &inv_tau11, z21, inc_z ); // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 ); bl1_dgemv( BLIS1_CONJ_TRANSPOSE, BLIS1_NO_CONJUGATE, m_ahead, n_behind, buff_1, A20, rs_A, cs_A, a21, rs_A, buff_0, t01, rs_T ); // FLA_Copy( first_elem, a21_t ); *a21_t = first_elem; } if ( m_behind + 1 == b_alg && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); bl1_dsyr2( BLIS1_LOWER_TRIANGULAR, m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A ); } /*------------------------------------------------------------*/ } // FLA_Obj_free( &u ); // FLA_Obj_free( &z ); // FLA_Obj_free( &w ); FLA_free( buff_u ); FLA_free( buff_z ); FLA_free( buff_w ); return FLA_SUCCESS; }
FLA_Error FLA_Tridiag_UT_l_step_ofs_var2 | ( | int | m_A, |
int | m_T, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
float * | buff_T, | ||
int | rs_T, | ||
int | cs_T | ||
) |
References bl1_saxpyv(), bl1_scopyv(), bl1_sdot(), bl1_sgemv(), bl1_sscalv(), bl1_ssymv(), bl1_ssyr2(), BLIS1_CONJ_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, FLA_free(), FLA_Fused_Her2_Ax_l_ops_var1(), FLA_Househ2_UT_l_ops(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.
Referenced by FLA_Tridiag_UT_l_step_ofu_var2().
{ float* buff_2 = FLA_FLOAT_PTR( FLA_TWO ); float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_0 = FLA_FLOAT_PTR( FLA_ZERO ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); float first_elem; float beta; float inv_tau11; float minus_inv_tau11; float minus_upsilon11, minus_conj_upsilon11; float minus_zeta11, minus_conj_zeta11; int i; // b_alg = FLA_Obj_length( T ); int b_alg = m_T; // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w ); float* buff_u = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) ); float* buff_z = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) ); float* buff_w = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) ); int inc_u = 1; int inc_z = 1; int inc_w = 1; // Initialize some variables (only to prevent compiler warnings). first_elem = *buff_0; minus_inv_tau11 = *buff_0; for ( i = 0; i < b_alg; ++i ) { float* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; float* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; float* t01 = buff_T + (i )*cs_T + (0 )*rs_T; float* tau11 = buff_T + (i )*cs_T + (i )*rs_T; float* upsilon11= buff_u + (i )*inc_u; float* u21 = buff_u + (i+1)*inc_u; float* zeta11 = buff_z + (i )*inc_z; float* z21 = buff_z + (i+1)*inc_z; float* w21 = buff_w + (i+1)*inc_w; float* a21_t = a21 + (0 )*cs_A + (0 )*rs_A; float* a21_b = a21 + (0 )*cs_A + (1 )*rs_A; int m_ahead = m_A - i - 1; int m_behind = i; int n_behind = i; /*------------------------------------------------------------*/ if ( m_behind > 0 ) { // FLA_Copy( upsilon11, minus_upsilon11 ); // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 ); // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 ); bl1_smult3( buff_m1, upsilon11, &minus_upsilon11 ); bl1_scopyconj( &minus_upsilon11, &minus_conj_upsilon11 ); // FLA_Copy( zeta11, minus_zeta11 ); // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 ); // FLA_Copy( minus_zeta11, minus_conj_zeta11 ); bl1_smult3( buff_m1, zeta11, &minus_zeta11 ); bl1_scopyconj( &minus_zeta11, &minus_conj_zeta11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11, alpha11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11, upsilon11, alpha11 ); bl1_saxpyv( BLIS1_CONJUGATE, 1, &minus_upsilon11, zeta11, 1, alpha11, 1 ); bl1_saxpyv( BLIS1_CONJUGATE, 1, &minus_zeta11, upsilon11, 1, alpha11, 1 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11, u21, a21 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 ); bl1_saxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_zeta11, u21, inc_u, a21, rs_A ); bl1_saxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_upsilon11, z21, inc_z, a21, rs_A ); } if ( m_ahead > 0 ) { // FLA_Househ2_UT( FLA_LEFT, // a21_t, // a21_b, tau11 ); FLA_Househ2_UT_l_ops( m_ahead - 1, a21_t, a21_b, rs_A, tau11 ); // FLA_Set( FLA_ONE, inv_tau11 ); // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 ); // FLA_Copy( inv_tau11, minus_inv_tau11 ); // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 ); bl1_sdiv3( buff_1, tau11, &inv_tau11 ); bl1_sneg2( &inv_tau11, &minus_inv_tau11 ); // FLA_Copy( a21_t, first_elem ); // FLA_Set( FLA_ONE, a21_t ); first_elem = *a21_t; *a21_t = *buff_1; } if ( m_behind > 0 && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); FLA_Fused_Her2_Ax_l_ops_var1( m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A, a21, rs_A, w21, inc_w ); } else if ( m_ahead > 0 ) { // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); bl1_ssymv( BLIS1_LOWER_TRIANGULAR, m_ahead, buff_1, A22, rs_A, cs_A, a21, rs_A, buff_0, w21, inc_w ); } if ( m_ahead > 0 ) { // FLA_Copy( a21, u21 ); // FLA_Copy( w21, z21 ); bl1_scopyv( BLIS1_NO_CONJUGATE, m_ahead, a21, rs_A, u21, inc_u ); bl1_scopyv( BLIS1_NO_CONJUGATE, m_ahead, w21, inc_w, z21, inc_z ); // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta ); // FLA_Inv_scal( FLA_TWO, beta ); bl1_sdot( BLIS1_CONJUGATE, m_ahead, a21, rs_A, z21, inc_z, &beta ); bl1_sinvscals( buff_2, &beta ); // FLA_Scal( minus_inv_tau11, beta ); // FLA_Axpy( beta, a21, z21 ); // FLA_Scal( inv_tau11, z21 ); bl1_sscals( &minus_inv_tau11, &beta ); bl1_saxpyv( BLIS1_NO_CONJUGATE, m_ahead, &beta, a21, rs_A, z21, inc_z ); bl1_sscalv( BLIS1_NO_CONJUGATE, m_ahead, &inv_tau11, z21, inc_z ); // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 ); bl1_sgemv( BLIS1_CONJ_TRANSPOSE, BLIS1_NO_CONJUGATE, m_ahead, n_behind, buff_1, A20, rs_A, cs_A, a21, rs_A, buff_0, t01, rs_T ); // FLA_Copy( first_elem, a21_t ); *a21_t = first_elem; } if ( m_behind + 1 == b_alg && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); bl1_ssyr2( BLIS1_LOWER_TRIANGULAR, m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A ); } /*------------------------------------------------------------*/ } // FLA_Obj_free( &u ); // FLA_Obj_free( &z ); // FLA_Obj_free( &w ); FLA_free( buff_u ); FLA_free( buff_z ); FLA_free( buff_w ); return FLA_SUCCESS; }
References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Tridiag_UT_l_step_ofc_var2(), FLA_Tridiag_UT_l_step_ofd_var2(), FLA_Tridiag_UT_l_step_ofs_var2(), and FLA_Tridiag_UT_l_step_ofz_var2().
Referenced by FLA_Tridiag_UT_l_blf_var2(), and FLA_Tridiag_UT_l_ofu_var2().
{ FLA_Datatype datatype; int m_A, m_T; int rs_A, cs_A; int rs_T, cs_T; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); m_T = FLA_Obj_length( T ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); rs_T = FLA_Obj_row_stride( T ); cs_T = FLA_Obj_col_stride( T ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); float* buff_T = FLA_FLOAT_PTR( T ); FLA_Tridiag_UT_l_step_ofs_var2( m_A, m_T, buff_A, rs_A, cs_A, buff_T, rs_T, cs_T ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); double* buff_T = FLA_DOUBLE_PTR( T ); FLA_Tridiag_UT_l_step_ofd_var2( m_A, m_T, buff_A, rs_A, cs_A, buff_T, rs_T, cs_T ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); scomplex* buff_T = FLA_COMPLEX_PTR( T ); FLA_Tridiag_UT_l_step_ofc_var2( m_A, m_T, buff_A, rs_A, cs_A, buff_T, rs_T, cs_T ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); dcomplex* buff_T = FLA_DOUBLE_COMPLEX_PTR( T ); FLA_Tridiag_UT_l_step_ofz_var2( m_A, m_T, buff_A, rs_A, cs_A, buff_T, rs_T, cs_T ); break; } } return FLA_SUCCESS; }
FLA_Error FLA_Tridiag_UT_l_step_ofz_var2 | ( | int | m_A, |
int | m_T, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
dcomplex * | buff_T, | ||
int | rs_T, | ||
int | cs_T | ||
) |
References bl1_zaxpyv(), bl1_zcopyv(), bl1_zdot(), bl1_zgemv(), bl1_zhemv(), bl1_zher2(), bl1_zscalv(), BLIS1_CONJ_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_free(), FLA_Fused_Her2_Ax_l_opz_var1(), FLA_Househ2_UT_l_opz(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.
Referenced by FLA_Tridiag_UT_l_step_ofu_var2().
{ dcomplex* buff_2 = FLA_DOUBLE_COMPLEX_PTR( FLA_TWO ); dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_0 = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); dcomplex first_elem; dcomplex beta; dcomplex inv_tau11; dcomplex minus_inv_tau11; dcomplex minus_upsilon11, minus_conj_upsilon11; dcomplex minus_zeta11, minus_conj_zeta11; int i; // b_alg = FLA_Obj_length( T ); int b_alg = m_T; // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z ); // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w ); dcomplex* buff_u = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) ); dcomplex* buff_z = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) ); dcomplex* buff_w = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) ); int inc_u = 1; int inc_z = 1; int inc_w = 1; // Initialize some variables (only to prevent compiler warnings). first_elem = *buff_0; minus_inv_tau11 = *buff_0; for ( i = 0; i < b_alg; ++i ) { dcomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; dcomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; dcomplex* t01 = buff_T + (i )*cs_T + (0 )*rs_T; dcomplex* tau11 = buff_T + (i )*cs_T + (i )*rs_T; dcomplex* upsilon11= buff_u + (i )*inc_u; dcomplex* u21 = buff_u + (i+1)*inc_u; dcomplex* zeta11 = buff_z + (i )*inc_z; dcomplex* z21 = buff_z + (i+1)*inc_z; dcomplex* w21 = buff_w + (i+1)*inc_w; dcomplex* a21_t = a21 + (0 )*cs_A + (0 )*rs_A; dcomplex* a21_b = a21 + (0 )*cs_A + (1 )*rs_A; int m_ahead = m_A - i - 1; int m_behind = i; int n_behind = i; /*------------------------------------------------------------*/ if ( m_behind > 0 ) { // FLA_Copy( upsilon11, minus_upsilon11 ); // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 ); // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 ); bl1_zmult3( buff_m1, upsilon11, &minus_upsilon11 ); bl1_zcopyconj( &minus_upsilon11, &minus_conj_upsilon11 ); // FLA_Copy( zeta11, minus_zeta11 ); // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 ); // FLA_Copy( minus_zeta11, minus_conj_zeta11 ); bl1_zmult3( buff_m1, zeta11, &minus_zeta11 ); bl1_zcopyconj( &minus_zeta11, &minus_conj_zeta11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11, alpha11 ); // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11, upsilon11, alpha11 ); bl1_zaxpyv( BLIS1_CONJUGATE, 1, &minus_upsilon11, zeta11, 1, alpha11, 1 ); bl1_zaxpyv( BLIS1_CONJUGATE, 1, &minus_zeta11, upsilon11, 1, alpha11, 1 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11, u21, a21 ); // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 ); bl1_zaxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_zeta11, u21, inc_u, a21, rs_A ); bl1_zaxpyv( BLIS1_NO_CONJUGATE, m_ahead, &minus_conj_upsilon11, z21, inc_z, a21, rs_A ); } if ( m_ahead > 0 ) { // FLA_Househ2_UT( FLA_LEFT, // a21_t, // a21_b, tau11 ); FLA_Househ2_UT_l_opz( m_ahead - 1, a21_t, a21_b, rs_A, tau11 ); // FLA_Set( FLA_ONE, inv_tau11 ); // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 ); // FLA_Copy( inv_tau11, minus_inv_tau11 ); // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 ); bl1_zdiv3( buff_1, tau11, &inv_tau11 ); bl1_zneg2( &inv_tau11, &minus_inv_tau11 ); // FLA_Copy( a21_t, first_elem ); // FLA_Set( FLA_ONE, a21_t ); first_elem = *a21_t; *a21_t = *buff_1; } if ( m_behind > 0 && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); FLA_Fused_Her2_Ax_l_opz_var1( m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A, a21, rs_A, w21, inc_w ); } else if ( m_ahead > 0 ) { // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 ); bl1_zhemv( BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, m_ahead, buff_1, A22, rs_A, cs_A, a21, rs_A, buff_0, w21, inc_w ); } if ( m_ahead > 0 ) { // FLA_Copy( a21, u21 ); // FLA_Copy( w21, z21 ); bl1_zcopyv( BLIS1_NO_CONJUGATE, m_ahead, a21, rs_A, u21, inc_u ); bl1_zcopyv( BLIS1_NO_CONJUGATE, m_ahead, w21, inc_w, z21, inc_z ); // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta ); // FLA_Inv_scal( FLA_TWO, beta ); bl1_zdot( BLIS1_CONJUGATE, m_ahead, a21, rs_A, z21, inc_z, &beta ); bl1_zinvscals( buff_2, &beta ); // FLA_Scal( minus_inv_tau11, beta ); // FLA_Axpy( beta, a21, z21 ); // FLA_Scal( inv_tau11, z21 ); bl1_zscals( &minus_inv_tau11, &beta ); bl1_zaxpyv( BLIS1_NO_CONJUGATE, m_ahead, &beta, a21, rs_A, z21, inc_z ); bl1_zscalv( BLIS1_NO_CONJUGATE, m_ahead, &inv_tau11, z21, inc_z ); // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 ); bl1_zgemv( BLIS1_CONJ_TRANSPOSE, BLIS1_NO_CONJUGATE, m_ahead, n_behind, buff_1, A20, rs_A, cs_A, a21, rs_A, buff_0, t01, rs_T ); // FLA_Copy( first_elem, a21_t ); *a21_t = first_elem; } if ( m_behind + 1 == b_alg && m_ahead > 0 ) { // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 ); bl1_zher2( BLIS1_LOWER_TRIANGULAR, BLIS1_NO_TRANSPOSE, m_ahead, buff_m1, u21, inc_u, z21, inc_z, A22, rs_A, cs_A ); } /*------------------------------------------------------------*/ } // FLA_Obj_free( &u ); // FLA_Obj_free( &z ); // FLA_Obj_free( &w ); FLA_free( buff_u ); FLA_free( buff_z ); FLA_free( buff_w ); return FLA_SUCCESS; }