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Functions | |
FLA_Error | FLA_Trsm_llt_blk_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llt_blk_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llt_blk_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llt_blk_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl) |
FLA_Error | FLA_Trsm_llt_unb_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error | FLA_Trsm_llt_unb_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error | FLA_Trsm_llt_unb_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error | FLA_Trsm_llt_unb_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B) |
FLA_Error FLA_Trsm_llt_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_llt().
{ 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_BR ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_BOTTOM ); while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){ b = FLA_Determine_blocksize( ATL, FLA_TL, 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_TL ); FLA_Repart_2x1_to_3x1( BT, &B0, &B1, /* ** */ /* ** */ BB, &B2, b, FLA_TOP ); /*------------------------------------------------------------*/ /* B1 = B1 - A21' * B2; */ FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A21, B2, FLA_ONE, B1, FLA_Cntl_sub_gemm( cntl ) ); /* B1 = tril( A11' ) \ B1; */ FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_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_BR ); FLA_Cont_with_3x1_to_2x1( &BT, B0, /* ** */ /* ** */ B1, &BB, B2, FLA_BOTTOM ); } return FLA_SUCCESS; }
FLA_Error FLA_Trsm_llt_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_llt().
{ 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_BR ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_BOTTOM ); while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){ b = FLA_Determine_blocksize( ATL, FLA_TL, 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_TL ); FLA_Repart_2x1_to_3x1( BT, &B0, &B1, /* ** */ /* ** */ BB, &B2, b, FLA_TOP ); /*------------------------------------------------------------*/ /* B1 = tril( A11' ) \ B1; */ FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA, FLA_ONE, A11, B1, FLA_Cntl_sub_trsm( cntl ) ); /* B0 = B0 - A10' * B1; */ FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, B1, FLA_ONE, B0, 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_BR ); FLA_Cont_with_3x1_to_2x1( &BT, B0, /* ** */ /* ** */ B1, &BB, B2, FLA_BOTTOM ); } return FLA_SUCCESS; }
FLA_Error FLA_Trsm_llt_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_llt().
{ 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_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_llt_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_llt().
{ 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_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_Gemv_external(), FLA_Inv_scal_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_llt().
{ 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_BR ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_BOTTOM ); while ( FLA_Obj_length( ABR ) < 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_TL ); FLA_Repart_2x1_to_3x1( BT, &B0, &b1t, /* ** */ /* *** */ BB, &B2, 1, FLA_TOP ); /*------------------------------------------------------------*/ /* b1t = b1t - a21' * B2; */ FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, B2, a21, FLA_ONE, b1t ); /* b1t = b1t / alpha11; */ if ( diagA != FLA_UNIT_DIAG ) FLA_Inv_scal_external( alpha11, b1t ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ a01, A02, /* ************** */ /* ************************ */ a10t, /**/ alpha11, a12t, &ABL, /**/ &ABR, A20, /**/ a21, A22, FLA_BR ); FLA_Cont_with_3x1_to_2x1( &BT, B0, /* ** */ /* *** */ b1t, &BB, B2, FLA_BOTTOM ); } return FLA_SUCCESS; }
References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Inv_scal_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_llt().
{ 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_BR ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_BOTTOM ); while ( FLA_Obj_length( ABR ) < 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_TL ); FLA_Repart_2x1_to_3x1( BT, &B0, &b1t, /* ** */ /* *** */ BB, &B2, 1, FLA_TOP ); /*------------------------------------------------------------*/ /* b1t = b1t / alpha11; */ if ( diagA != FLA_UNIT_DIAG ) FLA_Inv_scal_external( alpha11, b1t ); /* B0 = B0 - a10t' * b1t; */ FLA_Ger_external( FLA_MINUS_ONE, a10t, b1t, B0 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ a01, A02, /* ************** */ /* ************************ */ a10t, /**/ alpha11, a12t, &ABL, /**/ &ABR, A20, /**/ a21, A22, FLA_BR ); FLA_Cont_with_3x1_to_2x1( &BT, B0, /* ** */ /* *** */ b1t, &BB, B2, FLA_BOTTOM ); } 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_llt().
{ 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_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_llt().
{ 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_TRANSPOSE, diagA, A, b1 ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ b1, B2, FLA_RIGHT ); } return FLA_SUCCESS; }