libflame
revision_anchor
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Functions | |
FLA_Error | FLA_QR_UT_piv_blk_var2 (FLA_Obj A, FLA_Obj T, FLA_Obj w, FLA_Obj p, fla_qrut_t *cntl) |
FLA_Error FLA_QR_UT_piv_blk_var2 | ( | FLA_Obj | A, |
FLA_Obj | T, | ||
FLA_Obj | w, | ||
FLA_Obj | p, | ||
fla_qrut_t * | cntl | ||
) |
References FLA_Apply_pivots(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemm_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_min_dim(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_QR_UT_piv_internal(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), and FLA_Repart_2x2_to_3x3().
Referenced by FLA_QR_UT_piv_internal().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj TL, TR, T0, T1, W12; FLA_Obj TT, TB; FLA_Obj pT, p0, pB, p1, p2; FLA_Obj wT, w0, wB, w1, w2; dim_t b_alg, b; // Query the algorithmic blocksize by inspecting the length of T. b_alg = FLA_Obj_length( T ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_1x2( T, &TL, &TR, 0, FLA_LEFT ); FLA_Part_2x1( p, &pT, &pB, 0, FLA_TOP ); FLA_Part_2x1( w, &wT, &wB, 0, FLA_TOP ); while ( FLA_Obj_min_dim( ABR ) > 0 ){ b = min( b_alg, FLA_Obj_min_dim( ABR ) ); 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( TL, /**/ TR, &T0, /**/ &T1, &W12, b, FLA_RIGHT ); FLA_Repart_2x1_to_3x1( pT, &p0, /* ** */ /* ** */ &p1, pB, &p2, b, FLA_BOTTOM ); FLA_Repart_2x1_to_3x1( wT, &w0, /* ** */ /* ** */ &w1, wB, &w2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ // ** Reshape T matrices to match the blocksize b FLA_Part_2x1( TR, &TT, &TB, b, FLA_TOP ); // ** Perform a unblocked (BLAS2-oriented) QR factorization // with pivoting via the UT transform on ABR: // // ABR -> QB1 R11 // // where: // - QB1 is formed from UB1 (which is stored column-wise below the // diagonal of ( A11 A21 )^T and the upper-triangle of T1. // - R11 is stored to ( A11 A12 ). // - W12 stores T and partial updates for FLA_Apply_Q_UT_piv_var. FLA_QR_UT_piv_internal( ABR, TT, wB, p1, FLA_Cntl_sub_qrut( cntl ) ); if ( FLA_Obj_width( A12 ) > 0 ) { // ** Block update FLA_Part_2x1( W12, &TT, &TB, b, FLA_TOP ); FLA_Gemm_external( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A21, TT, FLA_ONE, A22 ); } // ** Apply pivots to previous columns. FLA_Apply_pivots( FLA_RIGHT, FLA_TRANSPOSE, p1, ATR ); /*------------------------------------------------------------*/ 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( &TL, /**/ &TR, T0, T1, /**/ W12, FLA_LEFT ); FLA_Cont_with_3x1_to_2x1( &pT, p0, p1, /* ** */ /* ** */ &pB, p2, FLA_TOP ); FLA_Cont_with_3x1_to_2x1( &wT, w0, w1, /* ** */ /* ** */ &wB, w2, FLA_TOP ); } return FLA_SUCCESS; }