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Functions | |
FLA_Error | FLA_Apply_CAQ2_UT_lhfc_blk_var1 (FLA_Obj D, FLA_Obj T, FLA_Obj W1, FLA_Obj C, FLA_Obj E, fla_apcaq2ut_t *cntl) |
FLA_Error | FLA_Apply_CAQ2_UT_lhfc_blk_var2 (FLA_Obj D, FLA_Obj T, FLA_Obj W1, FLA_Obj C, FLA_Obj E, fla_apcaq2ut_t *cntl) |
FLA_Error | FLA_Apply_CAQ2_UT_lhfc_blk_var3 (FLA_Obj D, FLA_Obj T, FLA_Obj W, FLA_Obj C, FLA_Obj E, fla_apcaq2ut_t *cntl) |
FLA_Error FLA_Apply_CAQ2_UT_lhfc_blk_var1 | ( | FLA_Obj | D, |
FLA_Obj | T, | ||
FLA_Obj | W1, | ||
FLA_Obj | C, | ||
FLA_Obj | E, | ||
fla_apcaq2ut_t * | cntl | ||
) |
References FLA_Axpy_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_internal(), FLA_Gemm_internal(), 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_Trmm_internal(), and FLA_Trsm_internal().
Referenced by FLA_Apply_CAQ2_UT_lhfc().
{ FLA_Obj DTL, DTR, D00, D01, D02, DBL, DBR, D10, D11, D12, D20, D21, D22; FLA_Obj TL, TR, T0, T1, T2; FLA_Obj T1T, T2B; FLA_Obj CT, C0, CB, C1, C2; FLA_Obj ET, E0, EB, E1, E2; FLA_Obj W1TL, W1TR, W1BL, W1BR; dim_t b_alg, b; // Query the algorithmic blocksize by inspecting the length of T. b_alg = FLA_Obj_length( T ); FLA_Part_2x2( D, &DTL, &DTR, &DBL, &DBR, 0, 0, FLA_TL ); FLA_Part_1x2( T, &TL, &TR, 0, FLA_LEFT ); FLA_Part_2x1( C, &CT, &CB, 0, FLA_TOP ); FLA_Part_2x1( E, &ET, &EB, 0, FLA_TOP ); while ( FLA_Obj_width( DBR ) > 0 ){ b = min( b_alg, FLA_Obj_width( DBR ) ); FLA_Repart_2x2_to_3x3( DTL, /**/ DTR, &D00, /**/ &D01, &D02, /* ************* */ /* ******************** */ &D10, /**/ &D11, &D12, DBL, /**/ DBR, &D20, /**/ &D21, &D22, b, b, FLA_BR ); FLA_Repart_1x2_to_1x3( TL, /**/ TR, &T0, /**/ &T1, &T2, b, FLA_RIGHT ); FLA_Repart_2x1_to_3x1( CT, &C0, /* ** */ /* ** */ &C1, CB, &C2, b, FLA_BOTTOM ); FLA_Repart_2x1_to_3x1( ET, &E0, /* ** */ /* ** */ &E1, EB, &E2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ FLA_Part_2x1( T1, &T1T, &T2B, b, FLA_TOP ); FLA_Part_2x2( W1, &W1TL, &W1TR, &W1BL, &W1BR, b, FLA_Obj_width( C1 ), FLA_TL ); // W1TL = inv( triu( T1T ) )' * ( C1 + D1' * E ); // = inv( triu( T1T ) )' * ( C1 + D01' * E0 + D11' * E1 ); FLA_Copy_internal( E1, W1TL, FLA_Cntl_sub_copy( cntl ) ); FLA_Trmm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, D11, W1TL, FLA_Cntl_sub_trmm1( cntl ) ); FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, D01, E0, FLA_ONE, W1TL, FLA_Cntl_sub_gemm1( cntl ) ); FLA_Axpy_internal( FLA_ONE, C1, W1TL, FLA_Cntl_sub_axpy1( cntl ) ); FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, T1T, W1TL, FLA_Cntl_sub_trsm( cntl ) ); // C1 = C1 - W1TL; // E = E - D1 * W1TL; // => E0 = E0 - D01 * W1TL; // E1 = E1 - D11 * W1TL; FLA_Axpy_internal( FLA_MINUS_ONE, W1TL, C1, FLA_Cntl_sub_axpy2( cntl ) ); FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, D01, W1TL, FLA_ONE, E0, FLA_Cntl_sub_gemm2( cntl ) ); FLA_Trmm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, D11, W1TL, FLA_Cntl_sub_trmm2( cntl ) ); FLA_Axpy_internal( FLA_MINUS_ONE, W1TL, E1, FLA_Cntl_sub_axpy3( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &DTL, /**/ &DTR, D00, D01, /**/ D02, D10, D11, /**/ D12, /* ************** */ /* ****************** */ &DBL, /**/ &DBR, D20, D21, /**/ D22, FLA_TL ); FLA_Cont_with_1x3_to_1x2( &TL, /**/ &TR, T0, T1, /**/ T2, FLA_LEFT ); FLA_Cont_with_3x1_to_2x1( &CT, C0, C1, /* ** */ /* ** */ &CB, C2, FLA_TOP ); FLA_Cont_with_3x1_to_2x1( &ET, E0, E1, /* ** */ /* ** */ &EB, E2, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_Apply_CAQ2_UT_lhfc_blk_var2 | ( | FLA_Obj | D, |
FLA_Obj | T, | ||
FLA_Obj | W1, | ||
FLA_Obj | C, | ||
FLA_Obj | E, | ||
fla_apcaq2ut_t * | cntl | ||
) |
References FLA_Apply_CAQ2_UT_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Determine_blocksize(), FLA_Obj_length(), FLA_Part_2x1(), and FLA_Repart_2x1_to_3x1().
Referenced by FLA_Apply_CAQ2_UT_lhfc().
{ FLA_Obj DT, D0, DB, D1, D2; FLA_Obj TT, T0, TB, T1, T2; FLA_Obj ET, E0, EB, E1, E2; dim_t b; FLA_Part_2x1( D, &DT, &DB, 0, FLA_TOP ); FLA_Part_2x1( T, &TT, &TB, 0, FLA_TOP ); FLA_Part_2x1( E, &ET, &EB, 0, FLA_TOP ); while ( FLA_Obj_length( DT ) < FLA_Obj_length( D ) ){ b = FLA_Determine_blocksize( DB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_2x1_to_3x1( DT, &D0, /* ** */ /* ** */ &D1, DB, &D2, b, FLA_BOTTOM ); FLA_Repart_2x1_to_3x1( TT, &T0, /* ** */ /* ** */ &T1, TB, &T2, b, FLA_BOTTOM ); FLA_Repart_2x1_to_3x1( ET, &E0, /* ** */ /* ** */ &E1, EB, &E2, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ // / C \ = Q' / C \ // \ E1 / \ E1 / // // where Q is formed from D1 and T1. FLA_Apply_CAQ2_UT_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_FORWARD, FLA_COLUMNWISE, D1, T1, W1, C, E1, FLA_Cntl_sub_apcaq2ut( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x1_to_2x1( &DT, D0, D1, /* ** */ /* ** */ &DB, D2, FLA_TOP ); FLA_Cont_with_3x1_to_2x1( &TT, T0, T1, /* ** */ /* ** */ &TB, T2, FLA_TOP ); FLA_Cont_with_3x1_to_2x1( &ET, E0, E1, /* ** */ /* ** */ &EB, E2, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_Apply_CAQ2_UT_lhfc_blk_var3 | ( | FLA_Obj | D, |
FLA_Obj | T, | ||
FLA_Obj | W, | ||
FLA_Obj | C, | ||
FLA_Obj | E, | ||
fla_apcaq2ut_t * | cntl | ||
) |
References FLA_Apply_CAQ2_UT_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), and FLA_Repart_1x2_to_1x3().
Referenced by FLA_Apply_CAQ2_UT_lhfc().
{ FLA_Obj WL, WR, W0, W1, W2; FLA_Obj CL, CR, C0, C1, C2; FLA_Obj EL, ER, E0, E1, E2; dim_t b; FLA_Part_1x2( W, &WL, &WR, 0, FLA_LEFT ); FLA_Part_1x2( C, &CL, &CR, 0, FLA_LEFT ); FLA_Part_1x2( E, &EL, &ER, 0, FLA_LEFT ); while ( FLA_Obj_width( CL ) < FLA_Obj_width( C ) ){ b = FLA_Determine_blocksize( CR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_1x2_to_1x3( WL, /**/ WR, &W0, /**/ &W1, &W2, b, FLA_RIGHT ); FLA_Repart_1x2_to_1x3( CL, /**/ CR, &C0, /**/ &C1, &C2, b, FLA_RIGHT ); FLA_Repart_1x2_to_1x3( EL, /**/ ER, &E0, /**/ &E1, &E2, b, FLA_RIGHT ); /*------------------------------------------------------------*/ // / C1 \ = Q' / C1 \ // \ E1 / \ E1 / // // where Q is formed from D and T. FLA_Apply_CAQ2_UT_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_FORWARD, FLA_COLUMNWISE, D, T, W1, C1, E1, FLA_Cntl_sub_apcaq2ut( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &WL, /**/ &WR, W0, W1, /**/ W2, FLA_LEFT ); FLA_Cont_with_1x3_to_1x2( &CL, /**/ &CR, C0, C1, /**/ C2, FLA_LEFT ); FLA_Cont_with_1x3_to_1x2( &EL, /**/ &ER, E0, E1, /**/ E2, FLA_LEFT ); } return FLA_SUCCESS; }