libflame
revision_anchor
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Functions | |
FLA_Error | FLA_Lyap_n_opt_var1 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_n_ops_var1 (int m_AC, float *buff_sgn, float *buff_A, int rs_A, int cs_A, float *buff_W, int rs_W, int cs_W, float *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_n_opd_var1 (int m_AC, double *buff_sgn, double *buff_A, int rs_A, int cs_A, double *buff_W, int rs_W, int cs_W, double *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_n_opc_var1 (int m_AC, scomplex *buff_sgn, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_W, int rs_W, int cs_W, scomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_n_opz_var1 (int m_AC, dcomplex *buff_sgn, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_W, int rs_W, int cs_W, dcomplex *buff_C, int rs_C, int cs_C) |
FLA_Error FLA_Lyap_n_opc_var1 | ( | int | m_AC, |
scomplex * | buff_sgn, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
scomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
scomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_ccopymrt(), bli_cdot2s(), bli_chemv(), bli_cscalm(), bli_cshiftdiag(), bli_ctrsv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_n_opt_var1().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_cscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = m_AC - 1; i >= 0; --i ) { scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; scomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; scomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; scomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; scomplex* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; scomplex* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; scomplex omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t ); bli_chemv( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, C22, rs_C, cs_C, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_ccopymrt( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_cshiftdiag( BLIS_NO_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_ctrsv( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 ); bli_cdot2s( BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_ccopyconj( alpha11, &omega ); bli_cadd3( alpha11, &omega, &omega ); bli_cinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_n_opd_var1 | ( | int | m_AC, |
double * | buff_sgn, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
double * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
double * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_dcopymrt(), bli_ddot2s(), bli_dhemv(), bli_dscalm(), bli_dshiftdiag(), bli_dtrsv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_n_opt_var1().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; bli_dscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = m_AC - 1; i >= 0; --i ) { double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; double* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; double* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; double* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; double* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; double* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; double omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t ); bli_dhemv( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, C22, rs_C, cs_C, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_dcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_dshiftdiag( BLIS_NO_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_dtrsv( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 ); bli_ddot2s( BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_dcopyconj( alpha11, &omega ); bli_dadd3( alpha11, &omega, &omega ); bli_dinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_n_ops_var1 | ( | int | m_AC, |
float * | buff_sgn, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
float * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
float * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_scopymrt(), bli_sdot2s(), bli_shemv(), bli_sscalm(), bli_sshiftdiag(), bli_strsv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_n_opt_var1().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; bli_sscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = m_AC - 1; i >= 0; --i ) { float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; float* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; float* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; float* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; float* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; float* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; float omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t ); bli_shemv( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, C22, rs_C, cs_C, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_scopymrt( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_sshiftdiag( BLIS_NO_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_strsv( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 ); bli_sdot2s( BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_scopyconj( alpha11, &omega ); bli_sadd3( alpha11, &omega, &omega ); bli_sinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_n_opt_var1 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Lyap_n_opc_var1(), FLA_Lyap_n_opd_var1(), FLA_Lyap_n_ops_var1(), FLA_Lyap_n_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), and FLA_Obj_row_stride().
Referenced by FLA_Lyap_n().
{ FLA_Datatype datatype; int m_AC; int rs_A, cs_A; int rs_W, cs_W; int rs_C, cs_C; FLA_Obj W; FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); datatype = FLA_Obj_datatype( A ); m_AC = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); rs_W = FLA_Obj_row_stride( W ); cs_W = FLA_Obj_col_stride( W ); rs_C = FLA_Obj_row_stride( C ); cs_C = FLA_Obj_col_stride( C ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); float* buff_W = FLA_FLOAT_PTR( W ); float* buff_C = FLA_FLOAT_PTR( C ); float* buff_sgn = FLA_FLOAT_PTR( isgn ); FLA_Lyap_n_ops_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); double* buff_W = FLA_DOUBLE_PTR( W ); double* buff_C = FLA_DOUBLE_PTR( C ); double* buff_sgn = FLA_DOUBLE_PTR( isgn ); FLA_Lyap_n_opd_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); scomplex* buff_W = FLA_COMPLEX_PTR( W ); scomplex* buff_C = FLA_COMPLEX_PTR( C ); scomplex* buff_sgn = FLA_COMPLEX_PTR( isgn ); FLA_Lyap_n_opc_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); dcomplex* buff_W = FLA_DOUBLE_COMPLEX_PTR( W ); dcomplex* buff_C = FLA_DOUBLE_COMPLEX_PTR( C ); dcomplex* buff_sgn = FLA_DOUBLE_COMPLEX_PTR( isgn ); FLA_Lyap_n_opz_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } } FLA_Obj_free( &W ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_n_opz_var1 | ( | int | m_AC, |
dcomplex * | buff_sgn, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
dcomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
dcomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_zcopymrt(), bli_zdot2s(), bli_zhemv(), bli_zscalm(), bli_zshiftdiag(), bli_ztrsv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_n_opt_var1().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_zscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = m_AC - 1; i >= 0; --i ) { dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; dcomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; dcomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; dcomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; dcomplex* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; dcomplex* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; dcomplex omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t ); bli_zhemv( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, C22, rs_C, cs_C, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_zcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_zshiftdiag( BLIS_NO_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_ztrsv( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 ); bli_zdot2s( BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_zcopyconj( alpha11, &omega ); bli_zadd3( alpha11, &omega, &omega ); bli_zinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }