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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_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_Error r_val = FLA_SUCCESS, r_val_sub = FLA_SUCCESS; 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 ) r_val = FLA_LU_piv_internal( AB1, p1, FLA_Cntl_sub_lu( cntl ) ); // If the unblocked algorithm returns a null pivot, // update the pivot index and return it. if ( r_val == FLA_SUCCESS && r_val_sub >= 0 ) { r_val = FLA_Obj_length( A01 ) + r_val_sub; } // 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 r_val; }