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Functions | |
FLA_Error | FLA_Trsm_llc_blk_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llc_blk_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llc_blk_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llc_blk_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llc_unb_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error | FLA_Trsm_llc_unb_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error | FLA_Trsm_llc_unb_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error | FLA_Trsm_llc_unb_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error FLA_Trsm_llc_blk_var1 | ( | FLA_Diag | diagA, |
FLA_Obj | alpha, | ||
FLA_Obj | A, | ||
FLA_Obj | B, | ||
fla_trsm_t * | cntl | ||
) |
References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal_internal(), and FLA_Trsm_internal().
Referenced by FLA_Trsm_llc().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj BT, B0, BB, B1, B2; dim_t b; FLA_Scal_internal( alpha, B, FLA_Cntl_sub_scal( cntl ) ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( 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( BT, &B0, /* ** */ /* ** */ &B1, BB, &B2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ /* B1 = B1 - A10 * B0 */ FLA_Gemm_internal( FLA_CONJ_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, B0, FLA_ONE, B1, FLA_Cntl_sub_gemm( cntl ) ); /* B1 = tril( A11 ) \ B1 */ FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, FLA_ONE, A11, B1, FLA_Cntl_sub_trsm( 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( &BT, B0, B1, /* ** */ /* ** */ &BB, B2, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_Trsm_llc_blk_var2 | ( | FLA_Diag | diagA, |
FLA_Obj | alpha, | ||
FLA_Obj | A, | ||
FLA_Obj | B, | ||
fla_trsm_t * | cntl | ||
) |
References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal_internal(), and FLA_Trsm_internal().
Referenced by FLA_Trsm_llc().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj BT, B0, BB, B1, B2; dim_t b; FLA_Scal_internal( alpha, B, FLA_Cntl_sub_scal( cntl ) ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( 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( BT, &B0, /* ** */ /* ** */ &B1, BB, &B2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ /* B1 = tril( A11 ) \ B1 */ FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, FLA_ONE, A11, B1, FLA_Cntl_sub_trsm( cntl ) ); /* B2 = B2 - A21 * B1 */ FLA_Gemm_internal( FLA_CONJ_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A21, B1, FLA_ONE, B2, FLA_Cntl_sub_gemm( 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( &BT, B0, B1, /* ** */ /* ** */ &BB, B2, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_Trsm_llc_blk_var3 | ( | FLA_Diag | diagA, |
FLA_Obj | alpha, | ||
FLA_Obj | A, | ||
FLA_Obj | B, | ||
fla_trsm_t * | cntl | ||
) |
References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), and FLA_Trsm_internal().
Referenced by FLA_Trsm_llc().
{ FLA_Obj BL, BR, B0, B1, B2; dim_t b; FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT ); while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){ b = FLA_Determine_blocksize( BR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &B1, &B2, b, FLA_RIGHT ); /*------------------------------------------------------------*/ /* B1 = tril( A ) * B1; */ FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, alpha, A, B1, FLA_Cntl_sub_trsm( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, B1, /**/ B2, FLA_LEFT ); } return FLA_SUCCESS; }
FLA_Error FLA_Trsm_llc_blk_var4 | ( | FLA_Diag | diagA, |
FLA_Obj | alpha, | ||
FLA_Obj | A, | ||
FLA_Obj | B, | ||
fla_trsm_t * | cntl | ||
) |
References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), and FLA_Trsm_internal().
Referenced by FLA_Trsm_llc().
{ FLA_Obj BL, BR, B0, B1, B2; dim_t b; FLA_Part_1x2( B, &BL, &BR, 0, FLA_RIGHT ); while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){ b = FLA_Determine_blocksize( BL, FLA_LEFT, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, &B1, /**/ &B2, b, FLA_LEFT ); /*------------------------------------------------------------*/ /* B1 = tril( A ) * B1; */ FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, alpha, A, B1, FLA_Cntl_sub_trsm( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ B1, B2, FLA_RIGHT ); } return FLA_SUCCESS; }
References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemvc_external(), FLA_Inv_scalc_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().
Referenced by FLA_Trsm_llc().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj BT, B0, BB, b1t, B2; FLA_Scal_external( alpha, B ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( 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( BT, &B0, /* ** */ /* *** */ &b1t, BB, &B2, 1, FLA_BOTTOM ); /*------------------------------------------------------------*/ /* b1t = b1t - a10t * B0 */ FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, B0, a10t, FLA_ONE, b1t ); /* b1t = b1t / alpha11 */ if ( diagA != FLA_UNIT_DIAG ) FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t ); /*------------------------------------------------------------*/ 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( &BT, B0, b1t, /* ** */ /* *** */ &BB, B2, FLA_TOP ); } return FLA_SUCCESS; }
References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gerc_external(), FLA_Inv_scalc_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().
Referenced by FLA_Trsm_llc().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj BT, B0, BB, b1t, B2; FLA_Scal_external( alpha, B ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( 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( BT, &B0, /* ** */ /* *** */ &b1t, BB, &B2, 1, FLA_BOTTOM ); /*------------------------------------------------------------*/ /* b1t = b1t / alpha11 */ if ( diagA != FLA_UNIT_DIAG ) FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t ); /* B2 = B2 - a21 * b1t */ FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, FLA_MINUS_ONE, a21, b1t, B2 ); /*------------------------------------------------------------*/ 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( &BT, B0, b1t, /* ** */ /* *** */ &BB, B2, FLA_TOP ); } return FLA_SUCCESS; }
References FLA_Cont_with_1x3_to_1x2(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), FLA_Scal_external(), and FLA_Trsv_external().
Referenced by FLA_Trsm_llc().
{ FLA_Obj BL, BR, B0, b1, B2; FLA_Scal_external( alpha, B ); FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT ); while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){ FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2, 1, FLA_RIGHT ); /*------------------------------------------------------------*/ /* b1 = tril( A ) * b1; */ FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, A, b1 ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2, FLA_LEFT ); } return FLA_SUCCESS; }
References FLA_Cont_with_1x3_to_1x2(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), FLA_Scal_external(), and FLA_Trsv_external().
Referenced by FLA_Trsm_llc().
{ FLA_Obj BL, BR, B0, b1, B2; FLA_Scal_external( alpha, B ); FLA_Part_1x2( B, &BL, &BR, 0, FLA_RIGHT ); while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){ FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, &b1, /**/ &B2, 1, FLA_LEFT ); /*------------------------------------------------------------*/ /* b1 = tril( A ) * b1; */ FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, A, b1 ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ b1, B2, FLA_RIGHT ); } return FLA_SUCCESS; }