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Functions | |
FLA_Error | FLA_LQ_UT_blk_var1 (FLA_Obj A, FLA_Obj T, fla_lqut_t *cntl) |
FLA_Error FLA_LQ_UT_blk_var1 | ( | FLA_Obj | A, |
FLA_Obj | T, | ||
fla_lqut_t * | cntl | ||
) |
References FLA_Apply_Q_UT_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_LQ_UT_internal(), FLA_Merge_1x2(), FLA_Obj_length(), FLA_Obj_min_dim(), FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), and FLA_Repart_2x2_to_3x3().
Referenced by FLA_LQ_UT_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 T1T, T2B; FLA_Obj AR1, AR2; 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 ); 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_Part_2x1( T1, &T1T, &T2B, b, FLA_TOP ); FLA_Merge_1x2( A11, A12, &AR1 ); // Perform an LQ factorization via the UT transform on AR1: // // ( A11 A12 ) -> L11 QR1 // // where: // - QR1 is formed from UR1 (which is stored row-wise above the // diagonal of AR1) and T11 (which is stored to the upper triangle // of T11). // - L11 is stored to the lower triangle of AR1. FLA_LQ_UT_internal( AR1, T1T, FLA_Cntl_sub_lqut( cntl )); if ( FLA_Obj_length( A21 ) > 0 ) { FLA_Merge_1x2( A21, A22, &AR2 ); // Apply the Householder transforms associated with UR1 and T11 to // AR2: // // ( A21 A22 ) := ( A21 A22 ) Q1 // // where QR1 is formed from UR1 and T11. FLA_Apply_Q_UT_internal( FLA_RIGHT, FLA_NO_TRANSPOSE, FLA_FORWARD, FLA_ROWWISE, AR1, T1T, W12, AR2, FLA_Cntl_sub_apqut( 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( &TL, /**/ &TR, T0, T1, /**/ W12, FLA_LEFT ); } return FLA_SUCCESS; }