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Functions | |
FLA_Error | FLA_LU_piv_blk_var3 (FLA_Obj A, FLA_Obj p, fla_lu_t *cntl) |
FLA_Error | FLA_LU_piv_blk_var4 (FLA_Obj A, FLA_Obj p, fla_lu_t *cntl) |
FLA_Error | FLA_LU_piv_blk_var5 (FLA_Obj A, FLA_Obj p, fla_lu_t *cntl) |
FLA_Error | FLA_LU_piv_unb_var3 (FLA_Obj A, FLA_Obj p) |
FLA_Error | FLA_LU_piv_unb_var3b (FLA_Obj A, FLA_Obj p) |
FLA_Error | FLA_LU_piv_unb_var4 (FLA_Obj A, FLA_Obj p) |
FLA_Error | FLA_LU_piv_unb_var5 (FLA_Obj A, FLA_Obj p) |
FLA_Error | FLA_LU_piv_opt_var3 (FLA_Obj A, FLA_Obj p) |
FLA_Error | FLA_LU_piv_ops_var3 (int m_A, int n_A, float *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opd_var3 (int m_A, int n_A, double *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opc_var3 (int m_A, int n_A, scomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opz_var3 (int m_A, int n_A, dcomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opt_var4 (FLA_Obj A, FLA_Obj p) |
FLA_Error | FLA_LU_piv_ops_var4 (int m_A, int n_A, float *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opd_var4 (int m_A, int n_A, double *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opc_var4 (int m_A, int n_A, scomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opz_var4 (int m_A, int n_A, dcomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opt_var5 (FLA_Obj A, FLA_Obj p) |
FLA_Error | FLA_LU_piv_ops_var5 (int m_A, int n_A, float *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opd_var5 (int m_A, int n_A, double *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opc_var5 (int m_A, int n_A, scomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error | FLA_LU_piv_opz_var5 (int m_A, int n_A, dcomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p) |
FLA_Error FLA_LU_piv_blk_var3 | ( | FLA_Obj | A, |
FLA_Obj | p, | ||
fla_lu_t * | cntl | ||
) |
References FLA_Apply_pivots_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_piv_internal(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsm_internal().
Referenced by FLA_LU_piv_internal().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj AL, AR, A0, A1, A2; FLA_Obj pT, p0, pB, p1, p2; FLA_Obj AB0, AB1; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, /* ************* */ /* ******************** */ &A10, /**/ &A11, &A12, ABL, /**/ ABR, &A20, /**/ &A21, &A22, b, b, FLA_BR ); FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &A1, &A2, b, FLA_RIGHT ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* ** */ &p1, pB, &p2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ // Apply previously computed pivots FLA_Apply_pivots_internal( FLA_LEFT, FLA_NO_TRANSPOSE, p0, A1, FLA_Cntl_sub_appiv1( cntl ) ); // A01 = trilu( A00 ) \ A10 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A00, A01, FLA_Cntl_sub_trsm1( cntl ) ); // A11 = A11 - A10 * A01 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, FLA_Cntl_sub_gemm1( cntl ) ); // A21 = A21 - A20 * A01 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, A01, FLA_ONE, A21, FLA_Cntl_sub_gemm2( cntl ) ); // AB1 = / A11 \ // \ A21 / FLA_Merge_2x1( A11, A21, &AB1 ); // AB1, p1 = LU_piv( AB1 ) FLA_LU_piv_internal( AB1, p1, FLA_Cntl_sub_lu( cntl ) ); // AB0 = / A10 \ // \ A20 / FLA_Merge_2x1( A10, A20, &AB0 ); // Apply pivots to previous columns FLA_Apply_pivots_internal( FLA_LEFT, FLA_NO_TRANSPOSE, p1, AB0, FLA_Cntl_sub_appiv2( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, A1, /**/ A2, FLA_LEFT ); FLA_Cont_with_3x1_to_2x1( &pT, p0, p1, /* ** */ /* ** */ &pB, p2, FLA_TOP ); } if ( FLA_Obj_width( ATR ) > 0 ) { /* Apply pivots to untouched columns */ FLA_Apply_pivots_internal( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR, FLA_Cntl_sub_appiv1( cntl ) ); /* ATR = trilu( ATL ) \ ATR */ FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, ATL, ATR ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_blk_var4 | ( | FLA_Obj | A, |
FLA_Obj | p, | ||
fla_lu_t * | cntl | ||
) |
References FLA_Apply_pivots_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_piv_internal(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().
Referenced by FLA_LU_piv_internal().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj pT, p0, pB, p1, p2; FLA_Obj AB0, AB1, AB2; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, /* ************* */ /* ******************** */ &A10, /**/ &A11, &A12, ABL, /**/ ABR, &A20, /**/ &A21, &A22, b, b, FLA_BR ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* ** */ &p1, pB, &p2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ // A11 = A11 - A10 * A0 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, FLA_Cntl_sub_gemm1( cntl ) ); // A21 = A21 - A20 * A01 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, A01, FLA_ONE, A21, FLA_Cntl_sub_gemm3( cntl ) ); // AB1 = / A11 \ // \ A21 / FLA_Merge_2x1( A11, A21, &AB1 ); // AB1, p1 = LU_piv( AB1 ) FLA_LU_piv_internal( AB1, p1, FLA_Cntl_sub_lu( cntl ) ); // AB0 = / A10 \ // \ A20 / FLA_Merge_2x1( A10, A20, &AB0 ); // AB2 = / A12 \ // \ A22 / FLA_Merge_2x1( A12, A22, &AB2 ); // Apply pivots to remaining columns FLA_Apply_pivots_internal( FLA_LEFT, FLA_NO_TRANSPOSE, p1, AB0, FLA_Cntl_sub_appiv1( cntl ) ); FLA_Apply_pivots_internal( FLA_LEFT, FLA_NO_TRANSPOSE, p1, AB2, FLA_Cntl_sub_appiv1( cntl ) ); // A12 = A12 - A10 * A02 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A02, FLA_ONE, A12, FLA_Cntl_sub_gemm2( cntl ) ); // A12 = trilu( A11 ) \ A12 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A11, A12, FLA_Cntl_sub_trsm1( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); FLA_Cont_with_3x1_to_2x1( &pT, p0, p1, /* ** */ /* ** */ &pB, p2, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_blk_var5 | ( | FLA_Obj | A, |
FLA_Obj | p, | ||
fla_lu_t * | cntl | ||
) |
References FLA_Apply_pivots_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_piv_internal(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().
Referenced by FLA_LU_piv_internal().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj pT, p0, pB, p1, p2; FLA_Obj AB0, AB1, AB2; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, /* ************* */ /* ******************** */ &A10, /**/ &A11, &A12, ABL, /**/ ABR, &A20, /**/ &A21, &A22, b, b, FLA_BR ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* ** */ &p1, pB, &p2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ // AB1 = / A11 \ // \ A21 / FLA_Merge_2x1( A11, A21, &AB1 ); // AB1, p1 = LU_piv( AB1 ) FLA_LU_piv_internal( AB1, p1, FLA_Cntl_sub_lu( cntl ) ); // AB0 = / A10 \ // \ A20 / FLA_Merge_2x1( A10, A20, &AB0 ); // Apply computed pivots to AB0 FLA_Apply_pivots_internal( FLA_LEFT, FLA_NO_TRANSPOSE, p1, AB0, FLA_Cntl_sub_appiv1( cntl ) ); // AB2 = / A12 \ // \ A22 / FLA_Merge_2x1( A12, A22, &AB2 ); // Apply computed pivots to AB2 FLA_Apply_pivots_internal( FLA_LEFT, FLA_NO_TRANSPOSE, p1, AB2, FLA_Cntl_sub_appiv1( cntl ) ); // A12 = trilu( A11 ) \ A12 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A11, A12, FLA_Cntl_sub_trsm1( cntl ) ); // A22 = A22 - A21 * A12 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A21, A12, FLA_ONE, A22, FLA_Cntl_sub_gemm1( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); FLA_Cont_with_3x1_to_2x1( &pT, p0, p1, /* ** */ /* ** */ &pB, p2, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opc_var3 | ( | int | m_A, |
int | n_A, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_camax(), bli_cdots(), bli_cgemv(), bli_cinvscalv(), bli_ctrsm(), bli_ctrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_Apply_pivots_ln_opc_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var3().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { scomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; scomplex* a1 = buff_A + (i )*cs_A + (0 )*rs_A; int* p0 = buff_p; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 ); FLA_Apply_pivots_ln_opc_var1( 1, a1, rs_A, cs_A, 0, mn_behind - 1, p0, inc_p ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_ctrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_cdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_cgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_camax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_opc_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_cinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_opc_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { scomplex* ATL = buff_A; scomplex* ATR = buff_A + m_A*cs_A; // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR ); FLA_Apply_pivots_ln_opc_var1( n_A - m_A, ATR, rs_A, cs_A, 0, m_A - 1, buff_p, inc_p ); // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_ctrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opc_var4 | ( | int | m_A, |
int | n_A, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_camax(), bli_cdots(), bli_cgemv(), bli_cinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_Apply_pivots_ln_opc_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var4().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; scomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_cdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_cgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_camax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_opc_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_opc_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a12t, // A22, &AB2 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); FLA_Apply_pivots_ln_opc_var1( n_ahead, a12t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_cgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_cinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opc_var5 | ( | int | m_A, |
int | n_A, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_camax(), bli_cger(), bli_cinvscalv(), BLIS_NO_CONJUGATE, FLA_Apply_pivots_ln_opc_var1(), and FLA_MINUS_ONE.
Referenced by FLA_LU_piv_opt_var5().
{ scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*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; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_camax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Merge_1x2( ABL, ABR, &AB ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB ); FLA_Apply_pivots_ln_opc_var1( n_A, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_cinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_cger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opd_var3 | ( | int | m_A, |
int | n_A, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_damax(), bli_ddots(), bli_dgemv(), bli_dinvscalv(), bli_dtrsm(), bli_dtrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_Apply_pivots_ln_opd_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var3().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { double* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; double* a1 = buff_A + (i )*cs_A + (0 )*rs_A; int* p0 = buff_p; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 ); FLA_Apply_pivots_ln_opd_var1( 1, a1, rs_A, cs_A, 0, mn_behind - 1, p0, inc_p ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_dtrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_ddots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_dgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_damax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_opd_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_dinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_opd_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { double* ATL = buff_A; double* ATR = buff_A + m_A*cs_A; // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR ); FLA_Apply_pivots_ln_opd_var1( n_A - m_A, ATR, rs_A, cs_A, 0, m_A - 1, buff_p, inc_p ); // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_dtrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opd_var4 | ( | int | m_A, |
int | n_A, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_damax(), bli_ddots(), bli_dgemv(), bli_dinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_Apply_pivots_ln_opd_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var4().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; double* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_ddots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_dgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_damax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_opd_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_opd_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a12t, // A22, &AB2 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); FLA_Apply_pivots_ln_opd_var1( n_ahead, a12t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_dgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_dinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opd_var5 | ( | int | m_A, |
int | n_A, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_damax(), bli_dger(), bli_dinvscalv(), BLIS_NO_CONJUGATE, FLA_Apply_pivots_ln_opd_var1(), and FLA_MINUS_ONE.
Referenced by FLA_LU_piv_opt_var5().
{ double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*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; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_damax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Merge_1x2( ABL, ABR, &AB ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB ); FLA_Apply_pivots_ln_opd_var1( n_A, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_dinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_dger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_ops_var3 | ( | int | m_A, |
int | n_A, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_samax(), bli_sdots(), bli_sgemv(), bli_sinvscalv(), bli_strsm(), bli_strsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_Apply_pivots_ln_ops_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var3().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { float* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; float* a1 = buff_A + (i )*cs_A + (0 )*rs_A; int* p0 = buff_p; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 ); FLA_Apply_pivots_ln_ops_var1( 1, a1, rs_A, cs_A, 0, mn_behind - 1, p0, inc_p ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_strsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_sdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_sgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_samax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_ops_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_sinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_ops_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { float* ATL = buff_A; float* ATR = buff_A + m_A*cs_A; // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR ); FLA_Apply_pivots_ln_ops_var1( n_A - m_A, ATR, rs_A, cs_A, 0, m_A - 1, buff_p, inc_p ); // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_strsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_ops_var4 | ( | int | m_A, |
int | n_A, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_samax(), bli_sdots(), bli_sgemv(), bli_sinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_Apply_pivots_ln_ops_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var4().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; float* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_sdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_sgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_samax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_ops_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_ops_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a12t, // A22, &AB2 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); FLA_Apply_pivots_ln_ops_var1( n_ahead, a12t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_sgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_sinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_ops_var5 | ( | int | m_A, |
int | n_A, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_samax(), bli_sger(), bli_sinvscalv(), BLIS_NO_CONJUGATE, FLA_Apply_pivots_ln_ops_var1(), and FLA_MINUS_ONE.
Referenced by FLA_LU_piv_opt_var5().
{ float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*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; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_samax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Merge_1x2( ABL, ABR, &AB ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB ); FLA_Apply_pivots_ln_ops_var1( n_A, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_sinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_sger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opt_var3 | ( | FLA_Obj | A, |
FLA_Obj | p | ||
) |
References FLA_LU_piv_opc_var3(), FLA_LU_piv_opd_var3(), FLA_LU_piv_ops_var3(), FLA_LU_piv_opz_var3(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Obj_width().
Referenced by FLA_LU_piv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; int inc_p; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); inc_p = FLA_Obj_vector_inc( p ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_ops_var3( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opd_var3( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opc_var3( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opz_var3( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opt_var4 | ( | FLA_Obj | A, |
FLA_Obj | p | ||
) |
References FLA_LU_piv_opc_var4(), FLA_LU_piv_opd_var4(), FLA_LU_piv_ops_var4(), FLA_LU_piv_opz_var4(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Obj_width().
Referenced by FLA_LU_piv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; int inc_p; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); inc_p = FLA_Obj_vector_inc( p ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_ops_var4( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opd_var4( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opc_var4( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opz_var4( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opt_var5 | ( | FLA_Obj | A, |
FLA_Obj | p | ||
) |
References FLA_LU_piv_opc_var5(), FLA_LU_piv_opd_var5(), FLA_LU_piv_ops_var5(), FLA_LU_piv_opz_var5(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Obj_width().
Referenced by FLA_LU_piv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; int inc_p; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); inc_p = FLA_Obj_vector_inc( p ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_ops_var5( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opd_var5( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opc_var5( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); int* buff_p = FLA_INT_PTR( p ); FLA_LU_piv_opz_var5( m_A, n_A, buff_A, rs_A, cs_A, buff_p, inc_p ); break; } } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opz_var3 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_zamax(), bli_zdots(), bli_zgemv(), bli_zinvscalv(), bli_ztrsm(), bli_ztrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_Apply_pivots_ln_opz_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var3().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { dcomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; dcomplex* a1 = buff_A + (i )*cs_A + (0 )*rs_A; int* p0 = buff_p; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 ); FLA_Apply_pivots_ln_opz_var1( 1, a1, rs_A, cs_A, 0, mn_behind - 1, p0, inc_p ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_ztrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_zdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_zgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_zamax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_opz_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_zinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_opz_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { dcomplex* ATL = buff_A; dcomplex* ATR = buff_A + m_A*cs_A; // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR ); FLA_Apply_pivots_ln_opz_var1( n_A - m_A, ATR, rs_A, cs_A, 0, m_A - 1, buff_p, inc_p ); // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_ztrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opz_var4 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_zamax(), bli_zdots(), bli_zgemv(), bli_zinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_Apply_pivots_ln_opz_var1(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_piv_opt_var4().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; dcomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_zdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_zgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_zamax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); FLA_Apply_pivots_ln_opz_var1( 1, alpha11, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a10t, // A20, &AB0 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots_ln_opz_var1( mn_behind, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Merge_2x1( a12t, // A22, &AB2 ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); FLA_Apply_pivots_ln_opz_var1( n_ahead, a12t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_zgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_zinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_opz_var5 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
int * | buff_p, | ||
int | inc_p | ||
) |
References bli_zamax(), bli_zger(), bli_zinvscalv(), BLIS_NO_CONJUGATE, FLA_Apply_pivots_ln_opz_var1(), and FLA_MINUS_ONE.
Referenced by FLA_LU_piv_opt_var5().
{ dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*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; int* pi1 = buff_p + i*inc_p; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Merge_2x1( alpha11, // a21, &aB1 ); // FLA_Amax_external( aB1, pi1 ); bli_zamax( m_ahead + 1, alpha11, rs_A, pi1 ); // FLA_Merge_1x2( ABL, ABR, &AB ); // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB ); FLA_Apply_pivots_ln_opz_var1( n_A, a10t, rs_A, cs_A, 0, 0, pi1, inc_p ); // FLA_Inv_scal_external( alpha11, a21 ); bli_zinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_zger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_unb_var3 | ( | FLA_Obj | A, |
FLA_Obj | p | ||
) |
References FLA_Amax_external(), FLA_Apply_pivots(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsv_external().
Referenced by FLA_LU_piv_internal().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj AL, AR, A0, a1, A2; FLA_Obj pT, p0, pB, pi1, p2; FLA_Obj AB0, aB1; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &a1, &A2, 1, FLA_RIGHT ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* *** */ &pi1, pB, &p2, 1, FLA_BOTTOM ); /*------------------------------------------------------------*/ // Apply previously computed pivots FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 ); // a01 = trilu( A00 ) \ a01 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); // alpha11 = alpha11 - a10t * a01 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); // a21 = a21 - A20 * a01 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); // aB1 = / alpha11 \ // \ a21 / FLA_Merge_2x1( alpha11, a21, &aB1 ); // Determine pivot index FLA_Amax_external( aB1, pi1 ); // Apply pivots to current column FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); // a21 = a21 / alpha11 FLA_Inv_scal_external( alpha11, a21 ); // AB0 = / a10t \ // \ A20 / FLA_Merge_2x1( a10t, A20, &AB0 ); // Apply pivots to previous columns FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, a1, /**/ A2, FLA_LEFT ); FLA_Cont_with_3x1_to_2x1( &pT, p0, pi1, /* ** */ /* *** */ &pB, p2, FLA_TOP ); } if ( FLA_Obj_width( ATR ) > 0 ) { /* Apply pivots to untouched columns */ FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR ); /* ATR = trilu( ATL ) \ ATR */ FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, ATL, ATR ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_unb_var3b | ( | FLA_Obj | A, |
FLA_Obj | p | ||
) |
References FLA_Amax_external(), FLA_Apply_pivots(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsv_external().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj pT, p0, pB, pi1, p2; FLA_Obj AB0, aB1, AB2; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* *** */ &pi1, pB, &p2, 1, FLA_BOTTOM ); /*------------------------------------------------------------*/ // a01 = trilu( A00 ) \ a01 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); // alpha11 = alpha11 - a10t * a01 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); // a21 = a21 - A20 * a01 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); // aB1 = / alpha11 \ // \ a21 / FLA_Merge_2x1( alpha11, a21, &aB1 ); // Determine pivot index FLA_Amax_external( aB1, pi1 ); // Apply pivots to current column FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); // AB0 = / a10t \ // \ A20 / FLA_Merge_2x1( a10t, A20, &AB0 ); // AB2 = / a12t \ // \ A22 / FLA_Merge_2x1( a12t, A22, &AB2 ); // Apply pivots to remaining columns FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); // a21 = a21 / alpha11 FLA_Inv_scal_external( alpha11, a21 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); FLA_Cont_with_3x1_to_2x1( &pT, p0, pi1, /* ** */ /* *** */ &pB, p2, FLA_TOP ); } if ( FLA_Obj_width( ATR ) > 0 ) { /* ATR = trilu( ATL ) \ ATR */ FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, ATL, ATR ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_unb_var4 | ( | FLA_Obj | A, |
FLA_Obj | p | ||
) |
References FLA_Amax_external(), FLA_Apply_pivots(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), and FLA_Repart_2x2_to_3x3().
Referenced by FLA_LU_piv_internal().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj pT, p0, pB, pi1, p2; FLA_Obj AB0, aB1, AB2; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* *** */ &pi1, pB, &p2, 1, FLA_BOTTOM ); /*------------------------------------------------------------*/ // alpha11 = alpha11 - a10t * a01 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); // a21 = a21 - A20 * a01 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); // aB1 = / alpha11 \ // \ a21 / FLA_Merge_2x1( alpha11, a21, &aB1 ); // Determine pivot index FLA_Amax_external( aB1, pi1 ); // Apply pivots to current column FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); // AB0 = / a10t \ // \ A20 / FLA_Merge_2x1( a10t, A20, &AB0 ); // AB2 = / a12t \ // \ A22 / FLA_Merge_2x1( a12t, A22, &AB2 ); // Apply pivots to remaining columns FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); // a21 = a21 / alpha11 FLA_Inv_scal_external( alpha11, a21 ); // a12t = a12t - a10t * A02 FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); FLA_Cont_with_3x1_to_2x1( &pT, p0, pi1, /* ** */ /* *** */ &pB, p2, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_piv_unb_var5 | ( | FLA_Obj | A, |
FLA_Obj | p | ||
) |
References FLA_Amax_external(), FLA_Apply_pivots(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Inv_scal_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), and FLA_Repart_2x2_to_3x3().
Referenced by FLA_LU_piv_internal().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj pT, p0, pB, pi1, p2; FLA_Obj AB0, aB1, AB2; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* *** */ &pi1, pB, &p2, 1, FLA_BOTTOM ); /*------------------------------------------------------------*/ // aB1 = / alpha11 \ // \ a21 / FLA_Merge_2x1( alpha11, a21, &aB1 ); // Determine pivot index FLA_Amax_external( aB1, pi1 ); // Apply pivots to current column FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); // a21 = a21 / alpha11 FLA_Inv_scal_external( alpha11, a21 ); // AB0 = / a10t \ // \ A20 / FLA_Merge_2x1( a10t, A20, &AB0 ); // Apply pivots to previous columns FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); // AB2 = / a12t \ // \ A22 / FLA_Merge_2x1( a12t, A22, &AB2 ); // Apply pivots to remaining columns FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); // A22 = A22 - a21 * a12t FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); FLA_Cont_with_3x1_to_2x1( &pT, p0, pi1, /* ** */ /* *** */ &pB, p2, FLA_TOP ); } return FLA_SUCCESS; }