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FLA_Error FLA_Trinv_lu_blk_var1 | ( | FLA_Obj | A, |
fla_trinv_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trinv_internal(), FLA_Trmm_internal(), and FLA_Trsm_internal().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); 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 ); /*------------------------------------------------------------*/ // A10 = A10 * A00; FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A00, A10, FLA_Cntl_sub_trmm( cntl ) ); // A10 = -trilu( A11 ) \ A10; FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_MINUS_ONE, A11, A10, FLA_Cntl_sub_trsm1( cntl ) ); // A11 = inv( A11 ); FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, A11, FLA_Cntl_sub_trinv( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_blk_var2 | ( | FLA_Obj | A, |
fla_trinv_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trinv_internal(), and FLA_Trsm_internal().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); 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 ); /*------------------------------------------------------------*/ // A21 = trilu( A22 ) \ A21; FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A22, A21, FLA_Cntl_sub_trsm1( cntl ) ); // A21 = -A21 / trilu( A11 ); FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_MINUS_ONE, A11, A21, FLA_Cntl_sub_trsm2( cntl ) ); // A11 = inv( A11 ); FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, A11, FLA_Cntl_sub_trinv( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_blk_var3 | ( | FLA_Obj | A, |
fla_trinv_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trinv_internal(), and FLA_Trsm_internal().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); 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 ); /*------------------------------------------------------------*/ // A21 = -A21 / trilu( A11 ); FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_MINUS_ONE, A11, A21, FLA_Cntl_sub_trsm1( cntl ) ); // A20 = A21 * A10 + A20; FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A21, A10, FLA_ONE, A20, FLA_Cntl_sub_gemm( cntl ) ); // A10 = trilu( A11 ) \ A10; FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A11, A10, FLA_Cntl_sub_trsm2( cntl ) ); // A11 = inv( A11 ); FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, A11, FLA_Cntl_sub_trinv( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_blk_var4 | ( | FLA_Obj | A, |
fla_trinv_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trinv_internal(), FLA_Trmm_internal(), and FLA_Trsm_internal().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); 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 ); /*------------------------------------------------------------*/ // A21 = -trilu( A22 ) \ A21; FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_MINUS_ONE, A22, A21, FLA_Cntl_sub_trsm1( cntl ) ); // A20 = -A21 * A10 + A20; FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A21, A10, FLA_ONE, A20, FLA_Cntl_sub_gemm( cntl ) ); // A10 = A10 * A00; FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A00, A10, FLA_Cntl_sub_trmm( cntl ) ); // A11 = inv( A11 ); FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, A11, FLA_Cntl_sub_trinv( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }
References bli_cscalv(), bli_ctrmv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var1().
{ scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { scomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_ctrmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a10t ); bli_cscalv( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References bli_cscalv(), bli_ctrsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var2().
{ scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; scomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_ctrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_cscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References bli_cger(), bli_cscalv(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Trinv_lu_opt_var3().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_cscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); // FLA_Ger_external( FLA_ONE, a21, a10t, A20 ); bli_cger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References bli_cger(), bli_cscalv(), bli_ctrmv(), bli_ctrsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var4().
{ scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { scomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; scomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_cscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); bli_ctrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 ); bli_cger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_m1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_ctrmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_opd_var1 | ( | int | mn_A, |
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_dscalv(), bli_dtrmv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var1().
{ double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { double* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_dtrmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a10t ); bli_dscalv( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_opd_var2 | ( | int | mn_A, |
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_dscalv(), bli_dtrsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var2().
{ double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; double* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_dtrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_dscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_opd_var3 | ( | int | mn_A, |
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_dger(), bli_dscalv(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Trinv_lu_opt_var3().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_dscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); // FLA_Ger_external( FLA_ONE, a21, a10t, A20 ); bli_dger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_opd_var4 | ( | int | mn_A, |
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_dger(), bli_dscalv(), bli_dtrmv(), bli_dtrsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var4().
{ double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { double* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; double* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_dscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); bli_dtrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 ); bli_dger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_m1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_dtrmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_ops_var1 | ( | int | mn_A, |
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sscalv(), bli_strmv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var1().
{ float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { float* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_strmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a10t ); bli_sscalv( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_ops_var2 | ( | int | mn_A, |
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sscalv(), bli_strsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var2().
{ float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; float* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_strsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_sscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_ops_var3 | ( | int | mn_A, |
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sger(), bli_sscalv(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Trinv_lu_opt_var3().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_sscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); // FLA_Ger_external( FLA_ONE, a21, a10t, A20 ); bli_sger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Trinv_lu_ops_var4 | ( | int | mn_A, |
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sger(), bli_sscalv(), bli_strmv(), bli_strsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var4().
{ float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { float* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; float* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_sscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); bli_strsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 ); bli_sger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_m1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_strmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Trinv_lu_opc_var1(), FLA_Trinv_lu_opd_var1(), FLA_Trinv_lu_ops_var1(), and FLA_Trinv_lu_opz_var1().
Referenced by FLA_Trinv_lu().
{ FLA_Datatype datatype; int mn_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); mn_A = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); FLA_Trinv_lu_ops_var1( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_Trinv_lu_opd_var1( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_Trinv_lu_opc_var1( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_Trinv_lu_opz_var1( mn_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Trinv_lu_opc_var2(), FLA_Trinv_lu_opd_var2(), FLA_Trinv_lu_ops_var2(), and FLA_Trinv_lu_opz_var2().
Referenced by FLA_Trinv_lu().
{ FLA_Datatype datatype; int mn_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); mn_A = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); FLA_Trinv_lu_ops_var2( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_Trinv_lu_opd_var2( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_Trinv_lu_opc_var2( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_Trinv_lu_opz_var2( mn_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Trinv_lu_opc_var3(), FLA_Trinv_lu_opd_var3(), FLA_Trinv_lu_ops_var3(), and FLA_Trinv_lu_opz_var3().
Referenced by FLA_Trinv_lu().
{ FLA_Datatype datatype; int mn_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); mn_A = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); FLA_Trinv_lu_ops_var3( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_Trinv_lu_opd_var3( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_Trinv_lu_opc_var3( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_Trinv_lu_opz_var3( mn_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Trinv_lu_opc_var4(), FLA_Trinv_lu_opd_var4(), FLA_Trinv_lu_ops_var4(), and FLA_Trinv_lu_opz_var4().
Referenced by FLA_Trinv_lu().
{ FLA_Datatype datatype; int mn_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); mn_A = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); FLA_Trinv_lu_ops_var4( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_Trinv_lu_opd_var4( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_Trinv_lu_opc_var4( mn_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_Trinv_lu_opz_var4( mn_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References bli_zscalv(), bli_ztrmv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var1().
{ dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { dcomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_ztrmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a10t ); bli_zscalv( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References bli_zscalv(), bli_ztrsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var2().
{ dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; dcomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_ztrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_zscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References bli_zger(), bli_zscalv(), FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Trinv_lu_opt_var3().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); bli_zscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); // FLA_Ger_external( FLA_ONE, a21, a10t, A20 ); bli_zger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References bli_zger(), bli_zscalv(), bli_ztrmv(), bli_ztrsv(), and FLA_MINUS_ONE.
Referenced by FLA_Trinv_lu_opt_var4().
{ dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; for ( i = 0; i < mn_A; ++i ) { dcomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; dcomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int mn_ahead = mn_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Scal_external( FLA_MINUS_ONE, a21 ); // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); bli_zscalv( BLIS_NO_CONJUGATE, mn_ahead, buff_m1, a21, rs_A ); bli_ztrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_ahead, A22, rs_A, cs_A, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 ); bli_zger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, mn_ahead, mn_behind, buff_m1, a21, rs_A, a10t, cs_A, A20, rs_A, cs_A ); // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); bli_ztrmv( BLIS_LOWER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_Trmv_external().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // a10t' = trilu( A00' ) * a10t'; FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); // a10t = -a10t; FLA_Scal_external( FLA_MINUS_ONE, a10t ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_Trsv_external().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // a21 = trilu( A22 ) \ a21; FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); // a21 = -a21; FLA_Scal_external( FLA_MINUS_ONE, a21 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // a21 = -a21; FLA_Scal_external( FLA_MINUS_ONE, a21 ); // A20 = a21 * a10t + A20; FLA_Ger_external( FLA_ONE, a21, a10t, A20 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), FLA_Trmv_external(), and FLA_Trsv_external().
Referenced by FLA_Trinv_lu().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // a21 = -trilu( A22 ) \ a21; FLA_Scal_external( FLA_MINUS_ONE, a21 ); FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 ); // A20 = -a21 * a10t + A20; FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 ); // a10t' = trilu( A00' ) * a10t'; FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }