FLA_Error FLA_Axpy_blk_var3( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_axpy_t* cntl ) { FLA_Obj AL, AR, A0, A1, A2; FLA_Obj BL, BR, B0, B1, B2; dim_t b; FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT ); FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT ); while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){ b = FLA_Determine_blocksize( AR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) ); FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &A1, &A2, b, FLA_RIGHT ); FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &B1, &B2, b, FLA_RIGHT ); /*------------------------------------------------------------*/ FLA_Axpy_internal( alpha, A1, B1, FLA_Cntl_sub_axpy( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, A1, /**/ A2, FLA_LEFT ); FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, B1, /**/ B2, FLA_LEFT ); } return FLA_SUCCESS; }
FLA_Error FLASH_Axpy( FLA_Obj alpha, FLA_Obj A, FLA_Obj B ) { FLA_Error r_val; FLA_Bool enable_supermatrix; // Check parameters. if ( FLA_Check_error_level() >= FLA_MIN_ERROR_CHECKING ) FLA_Axpy_check( alpha, A, B ); // Find the status of SuperMatrix. enable_supermatrix = FLASH_Queue_get_enabled(); // Temporarily disable SuperMatrix. FLASH_Queue_disable(); // Execute tasks. r_val = FLA_Axpy_internal( alpha, A, B, flash_axpy_cntl ); // Restore SuperMatrix to its previous status. if ( enable_supermatrix ) FLASH_Queue_enable(); return r_val; }
FLA_Error FLA_Eig_gest_nl_blk_var1( FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t* cntl ) { FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj BTL, BTR, B00, B01, B02, BBL, BBR, B10, B11, B12, B20, B21, B22; FLA_Obj YT, Y01, YB, Y11, Y21; FLA_Obj Y21_l, Y21_r; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( B, &BTL, &BTR, &BBL, &BBR, 0, 0, FLA_TL ); FLA_Part_2x1( Y, &YT, &YB, 0, FLA_TOP ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( 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_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &B01, &B02, /* ************* */ /* ******************** */ &B10, /**/ &B11, &B12, BBL, /**/ BBR, &B20, /**/ &B21, &B22, b, b, FLA_BR ); FLA_Repart_2x1_to_3x1( YT, &Y01, /* ** */ /* *** */ &Y11, YB, &Y21, b, FLA_BOTTOM ); /*------------------------------------------------------------*/ FLA_Part_1x2( Y21, &Y21_l, &Y21_r, b, FLA_LEFT ); // Y21 = A22 * B21; FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_ONE, A22, B21, FLA_ZERO, Y21_l, FLA_Cntl_sub_hemm( cntl ) ); // A21 = A21 * tril( B11 ); FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B11, A21, FLA_Cntl_sub_trmm1( cntl ) ); // A21 = A21 + 1/2 * Y21; FLA_Axpy_internal( FLA_ONE_HALF, Y21_l, A21, FLA_Cntl_sub_axpy1( cntl ) ); // A11 = tril( B11 )' * A11 * tril( B11 ); FLA_Eig_gest_internal( FLA_NO_INVERSE, FLA_LOWER_TRIANGULAR, A11, Y11, B11, FLA_Cntl_sub_eig_gest( cntl ) ); // A11 = A11 + A21' * B21 + B21' * A21; FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_ONE, A21, B21, FLA_ONE, A11, FLA_Cntl_sub_her2k( cntl ) ); // A21 = A21 + 1/2 * Y21; FLA_Axpy_internal( FLA_ONE_HALF, Y21_l, A21, FLA_Cntl_sub_axpy2( cntl ) ); // A21 = tril( B22 )' * A21; FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B22, A21, FLA_Cntl_sub_trmm2( 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_3x3_to_2x2( &BTL, /**/ &BTR, B00, B01, /**/ B02, B10, B11, /**/ B12, /* ************** */ /* ****************** */ &BBL, /**/ &BBR, B20, B21, /**/ B22, FLA_TL ); FLA_Cont_with_3x1_to_2x1( &YT, Y01, Y11, /* ** */ /* *** */ &YB, Y21, FLA_TOP ); } return FLA_SUCCESS; }
FLA_Error FLA_Eig_gest_il_blk_var2( FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t* cntl ) { FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj BTL, BTR, B00, B01, B02, BBL, BBR, B10, B11, B12, B20, B21, B22; FLA_Obj YL, YR, Y10, Y11, Y12; FLA_Obj Y10_t, Y10_b; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( B, &BTL, &BTR, &BBL, &BBR, 0, 0, FLA_TL ); FLA_Part_1x2( Y, &YL, &YR, 0, FLA_LEFT ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( 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_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &B01, &B02, /* ************* */ /* ******************** */ &B10, /**/ &B11, &B12, BBL, /**/ BBR, &B20, /**/ &B21, &B22, b, b, FLA_BR ); FLA_Repart_1x2_to_1x3( YL, /**/ YR, &Y10, /**/ &Y11, &Y12, b, FLA_RIGHT ); /*------------------------------------------------------------*/ FLA_Part_2x1( Y10, &Y10_t, &Y10_b, b, FLA_TOP ); // Y10 = 1/2 * B10 * A00; FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_ONE_HALF, A00, B10, FLA_ZERO, Y10_t, FLA_Cntl_sub_hemm( cntl ) ); // A10 = A10 - Y10; FLA_Axpy_internal( FLA_MINUS_ONE, Y10_t, A10, FLA_Cntl_sub_axpy1( cntl ) ); // A11 = A11 - A10 * B10' - B10 * A10'; FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, B10, FLA_ONE, A11, FLA_Cntl_sub_her2k( cntl ) ); // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' ); FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR, A11, Y11, B11, FLA_Cntl_sub_eig_gest( cntl ) ); // A21 = A21 - A20 * B10'; FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE, FLA_MINUS_ONE, A20, B10, FLA_ONE, A21, FLA_Cntl_sub_gemm1( cntl ) ); // A21 = A21 * inv( tril( B11 )' ); FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B11, A21, FLA_Cntl_sub_trsm1( cntl ) ); // A10 = A10 - Y10; FLA_Axpy_internal( FLA_MINUS_ONE, Y10_t, A10, FLA_Cntl_sub_axpy2( cntl ) ); // A10 = inv( tril( B11 ) ) * A10; FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B11, A10, FLA_Cntl_sub_trsm2( 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_3x3_to_2x2( &BTL, /**/ &BTR, B00, B01, /**/ B02, B10, B11, /**/ B12, /* ************** */ /* ****************** */ &BBL, /**/ &BBR, B20, B21, /**/ B22, FLA_TL ); FLA_Cont_with_1x3_to_1x2( &YL, /**/ &YR, Y10, Y11, /**/ Y12, FLA_LEFT ); } return FLA_SUCCESS; }