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FLA_Error FLA_LU_nopiv_blk_var1 | ( | FLA_Obj | A, |
fla_lu_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
{ 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 ) && FLA_Obj_width( ATL ) < FLA_Obj_width( 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 ); /*------------------------------------------------------------*/ // A01 = trilu( A00 ) \ A01 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A00, A01, FLA_Cntl_sub_trsm1( cntl ) ); // A10 = A10 / triu( A00 ) FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, A00, A10, FLA_Cntl_sub_trsm2( cntl ) ); // A11 = LU( A11 - A10 * A01 ) FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, FLA_Cntl_sub_gemm1( cntl ) ); // A11 = LU_nopiv( A11 ) FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, A10, A11, /**/ A12, /* ************** */ /* ****************** */ &ABL, /**/ &ABR, A20, A21, /**/ A22, FLA_TL ); } if ( FLA_Obj_length( ABL ) > 0 ) // ABL = ABL / triu( ATL ) FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, ATL, ABL ); else if ( FLA_Obj_width( ATR ) > 0 ) // ATR = trilu( ATL ) \ ATR FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, ATL, ATR ); return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_blk_var2 | ( | FLA_Obj | A, |
fla_lu_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
{ 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 ) && FLA_Obj_width( ATL ) < FLA_Obj_width( 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 / triu( A00 ) FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, A00, A10, FLA_Cntl_sub_trsm1( cntl ) ); // A11 = LU( A11 - A10 * A01 ) FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, FLA_Cntl_sub_gemm1( cntl ) ); // A11 = LU_nopiv( A11 ) FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); // A12 = A12 - A10 * A02 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A02, FLA_ONE, A12, FLA_Cntl_sub_gemm2( cntl ) ); // A12 = trilu( A11 ) \ A12 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A11, A12, 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 ); } if ( FLA_Obj_length( ABL ) > 0 ) // ABL = ABL / triu( ATL ) FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, ATL, ABL ); return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_blk_var3 | ( | FLA_Obj | A, |
fla_lu_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
{ 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 ) && FLA_Obj_width( ATL ) < FLA_Obj_width( 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 ); /*------------------------------------------------------------*/ // A01 = trilu( A00 ) \ A10 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A00, A01, FLA_Cntl_sub_trsm1( cntl ) ); // A11 = LU( A11 - A10 * A01 ) FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, FLA_Cntl_sub_gemm1( cntl ) ); // A11 = LU_nopiv( A11 ) FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); // A21 = A21 - A20 * A01 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, A01, FLA_ONE, A21, FLA_Cntl_sub_gemm2( cntl ) ); // A21 = A21 / triu( A11 ) FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, A11, A21, 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 ); } if ( FLA_Obj_width( ATR ) > 0 ) /* ATR = trilu( ATL ) \ ATR */ FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, ATL, ATR ); return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_blk_var4 | ( | FLA_Obj | A, |
fla_lu_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
{ 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 ) && FLA_Obj_width( ATL ) < FLA_Obj_width( 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 ); /*------------------------------------------------------------*/ // A11 = LU( A11 - A10 * A01 ) FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, FLA_Cntl_sub_gemm1( cntl ) ); // A11 = LU_nopiv( A11 ) FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); // A12 = A12 - A10 * A02 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A10, A02, FLA_ONE, A12, FLA_Cntl_sub_gemm2( cntl ) ); // A12 = trilu( A11 ) \ A12 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A11, A12, FLA_Cntl_sub_trsm1( cntl ) ); // A21 = A21 - A20 * A01 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, A01, FLA_ONE, A21, FLA_Cntl_sub_gemm3( cntl ) ); // A21 = A21 / triu( A11 ) FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, A11, A21, 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 ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_blk_var5 | ( | FLA_Obj | A, |
fla_lu_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
{ 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 ) && FLA_Obj_width( ATL ) < FLA_Obj_width( 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 ); /*------------------------------------------------------------*/ // A11 = LU_nopiv( A11 ) FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); // A12 = trilu( A11 ) \ A12 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A11, A12, FLA_Cntl_sub_trsm1( cntl ) ); // A21 = A21 / triu( A11 ) FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, A11, A21, FLA_Cntl_sub_trsm2( cntl ) ); // A22 = A22 - A21 * A12 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A21, A12, FLA_ONE, A22, FLA_Cntl_sub_gemm1( 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_LU_nopiv_opc_var1 | ( | int | m_A, |
int | n_A, | ||
scomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_cdots(), bli_ctrsm(), bli_ctrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var1().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { scomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_ctrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_ctrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_cdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { scomplex* ATL = buff_A; scomplex* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_ctrsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } else if ( m_A < n_A ) { scomplex* ATL = buff_A; scomplex* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_ctrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opc_var2 | ( | int | m_A, |
int | n_A, | ||
scomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_cdots(), bli_cgemv(), bli_ctrsm(), bli_ctrsv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var2().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { scomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_ctrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_cdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_cgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { scomplex* ATL = buff_A; scomplex* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_ctrsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opc_var3 | ( | int | m_A, |
int | n_A, | ||
scomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_cdots(), bli_cgemv(), bli_cinvscalv(), bli_ctrsm(), bli_ctrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var3().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++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* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_ctrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_cdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_cgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_cinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { scomplex* ATL = buff_A; scomplex* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_ctrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opc_var4 | ( | int | m_A, |
int | n_A, | ||
scomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_cdots(), bli_cgemv(), bli_cinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var4().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { scomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; scomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; scomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_cdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_cgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_cgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_cinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opc_var5 | ( | int | m_A, |
int | n_A, | ||
scomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_cger(), bli_cinvscalv(), BLIS_NO_CONJUGATE, and FLA_MINUS_ONE.
Referenced by FLA_LU_nopiv_opt_var5().
{ scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; scomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Inv_scal_external( alpha11, a21 ); bli_cinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_cger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opd_var1 | ( | int | m_A, |
int | n_A, | ||
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_ddots(), bli_dtrsm(), bli_dtrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var1().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { double* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_dtrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_dtrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_ddots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { double* ATL = buff_A; double* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_dtrsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } else if ( m_A < n_A ) { double* ATL = buff_A; double* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_dtrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opd_var2 | ( | int | m_A, |
int | n_A, | ||
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_ddots(), bli_dgemv(), bli_dtrsm(), bli_dtrsv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var2().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { double* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_dtrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_ddots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_dgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { double* ATL = buff_A; double* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_dtrsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opd_var3 | ( | int | m_A, |
int | n_A, | ||
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_ddots(), bli_dgemv(), bli_dinvscalv(), bli_dtrsm(), bli_dtrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var3().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++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* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_dtrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_ddots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_dgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_dinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { double* ATL = buff_A; double* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_dtrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opd_var4 | ( | int | m_A, |
int | n_A, | ||
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_ddots(), bli_dgemv(), bli_dinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var4().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { double* a10t = buff_A + (0 )*cs_A + (i )*rs_A; double* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; double* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_ddots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_dgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_dgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_dinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opd_var5 | ( | int | m_A, |
int | n_A, | ||
double * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_dger(), bli_dinvscalv(), BLIS_NO_CONJUGATE, and FLA_MINUS_ONE.
Referenced by FLA_LU_nopiv_opt_var5().
{ double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; double* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Inv_scal_external( alpha11, a21 ); bli_dinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_dger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_ops_var1 | ( | int | m_A, |
int | n_A, | ||
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sdots(), bli_strsm(), bli_strsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var1().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { float* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_strsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_strsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_sdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { float* ATL = buff_A; float* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_strsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } else if ( m_A < n_A ) { float* ATL = buff_A; float* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_strsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_ops_var2 | ( | int | m_A, |
int | n_A, | ||
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sdots(), bli_sgemv(), bli_strsm(), bli_strsv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var2().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { float* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_strsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_sdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_sgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { float* ATL = buff_A; float* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_strsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_ops_var3 | ( | int | m_A, |
int | n_A, | ||
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sdots(), bli_sgemv(), bli_sinvscalv(), bli_strsm(), bli_strsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var3().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++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* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_strsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_sdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_sgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_sinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { float* ATL = buff_A; float* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_strsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_ops_var4 | ( | int | m_A, |
int | n_A, | ||
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sdots(), bli_sgemv(), bli_sinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var4().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { float* a10t = buff_A + (0 )*cs_A + (i )*rs_A; float* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; float* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_sdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_sgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_sgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_sinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_ops_var5 | ( | int | m_A, |
int | n_A, | ||
float * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_sger(), bli_sinvscalv(), BLIS_NO_CONJUGATE, and FLA_MINUS_ONE.
Referenced by FLA_LU_nopiv_opt_var5().
{ float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; float* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Inv_scal_external( alpha11, a21 ); bli_sinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_sger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References FLA_LU_nopiv_opc_var1(), FLA_LU_nopiv_opd_var1(), FLA_LU_nopiv_ops_var1(), FLA_LU_nopiv_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), and FLA_Obj_width().
Referenced by FLA_LU_nopiv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( 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_LU_nopiv_ops_var1( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_LU_nopiv_opd_var1( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_LU_nopiv_opc_var1( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_LU_nopiv_opz_var1( m_A, n_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References FLA_LU_nopiv_opc_var2(), FLA_LU_nopiv_opd_var2(), FLA_LU_nopiv_ops_var2(), FLA_LU_nopiv_opz_var2(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), and FLA_Obj_width().
Referenced by FLA_LU_nopiv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( 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_LU_nopiv_ops_var2( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_LU_nopiv_opd_var2( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_LU_nopiv_opc_var2( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_LU_nopiv_opz_var2( m_A, n_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References FLA_LU_nopiv_opc_var3(), FLA_LU_nopiv_opd_var3(), FLA_LU_nopiv_ops_var3(), FLA_LU_nopiv_opz_var3(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), and FLA_Obj_width().
Referenced by FLA_LU_nopiv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( 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_LU_nopiv_ops_var3( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_LU_nopiv_opd_var3( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_LU_nopiv_opc_var3( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_LU_nopiv_opz_var3( m_A, n_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References FLA_LU_nopiv_opc_var4(), FLA_LU_nopiv_opd_var4(), FLA_LU_nopiv_ops_var4(), FLA_LU_nopiv_opz_var4(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), and FLA_Obj_width().
Referenced by FLA_LU_nopiv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( 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_LU_nopiv_ops_var4( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_LU_nopiv_opd_var4( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_LU_nopiv_opc_var4( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_LU_nopiv_opz_var4( m_A, n_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
References FLA_LU_nopiv_opc_var5(), FLA_LU_nopiv_opd_var5(), FLA_LU_nopiv_ops_var5(), FLA_LU_nopiv_opz_var5(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), and FLA_Obj_width().
Referenced by FLA_LU_nopiv_internal().
{ FLA_Datatype datatype; int m_A, n_A; int rs_A, cs_A; datatype = FLA_Obj_datatype( A ); m_A = FLA_Obj_length( A ); n_A = FLA_Obj_width( 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_LU_nopiv_ops_var5( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); FLA_LU_nopiv_opd_var5( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); FLA_LU_nopiv_opc_var5( m_A, n_A, buff_A, rs_A, cs_A ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); FLA_LU_nopiv_opz_var5( m_A, n_A, buff_A, rs_A, cs_A ); break; } } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opz_var1 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_zdots(), bli_ztrsm(), bli_ztrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var1().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { dcomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_ztrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_ztrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_zdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { dcomplex* ATL = buff_A; dcomplex* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_ztrsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } else if ( m_A < n_A ) { dcomplex* ATL = buff_A; dcomplex* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_ztrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opz_var2 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_zdots(), bli_zgemv(), bli_ztrsm(), bli_ztrsv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_RIGHT, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var2().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { dcomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); bli_ztrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, mn_behind, A00, rs_A, cs_A, a10t, cs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_zdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_zgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); /*------------------------------------------------------------*/ } if ( m_A > n_A ) { dcomplex* ATL = buff_A; dcomplex* ABL = buff_A + n_A*rs_A; // FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, // FLA_ONE, ATL, ABL ); bli_ztrsm( BLIS_RIGHT, BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, m_A - n_A, n_A, buff_1, ATL, rs_A, cs_A, ABL, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opz_var3 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_zdots(), bli_zgemv(), bli_zinvscalv(), bli_ztrsm(), bli_ztrsv(), BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var3().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++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* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); bli_ztrsv( BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, mn_behind, A00, rs_A, cs_A, a01, rs_A ); // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_zdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_zgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_zinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } if ( m_A < n_A ) { dcomplex* ATL = buff_A; dcomplex* ATR = buff_A + m_A*cs_A; // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, // FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, // FLA_ONE, ATL, ATR ); bli_ztrsm( BLIS_LEFT, BLIS_LOWER_TRIANGULAR, BLIS_NO_TRANSPOSE, BLIS_UNIT_DIAG, m_A, n_A - m_A, buff_1, ATL, rs_A, cs_A, ATR, rs_A, cs_A ); } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opz_var4 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_zdots(), bli_zgemv(), bli_zinvscalv(), BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_TRANSPOSE, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_LU_nopiv_opt_var4().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { dcomplex* a10t = buff_A + (0 )*cs_A + (i )*rs_A; dcomplex* A20 = buff_A + (0 )*cs_A + (i+1)*rs_A; dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; dcomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; int mn_behind = i; /*------------------------------------------------------------*/ // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); bli_zdots( BLIS_NO_CONJUGATE, mn_behind, buff_m1, a10t, cs_A, a01, rs_A, buff_1, alpha11 ); // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); bli_zgemv( BLIS_TRANSPOSE, BLIS_NO_CONJUGATE, mn_behind, n_ahead, buff_m1, A02, rs_A, cs_A, a10t, cs_A, buff_1, a12t, cs_A ); // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); bli_zgemv( BLIS_NO_TRANSPOSE, BLIS_NO_CONJUGATE, m_ahead, mn_behind, buff_m1, A20, rs_A, cs_A, a01, rs_A, buff_1, a21, rs_A ); // FLA_Inv_scal_external( alpha11, a21 ); bli_zinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_LU_nopiv_opz_var5 | ( | int | m_A, |
int | n_A, | ||
dcomplex * | A, | ||
int | rs_A, | ||
int | cs_A | ||
) |
References bli_zger(), bli_zinvscalv(), BLIS_NO_CONJUGATE, and FLA_MINUS_ONE.
Referenced by FLA_LU_nopiv_opt_var5().
{ dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int min_m_n = min( m_A, n_A ); int i; for ( i = 0; i < min_m_n; ++i ) { dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a21 = buff_A + (i )*cs_A + (i+1)*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; dcomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; int m_ahead = m_A - i - 1; int n_ahead = n_A - i - 1; /*------------------------------------------------------------*/ // FLA_Inv_scal_external( alpha11, a21 ); bli_zinvscalv( BLIS_NO_CONJUGATE, m_ahead, alpha11, a21, rs_A ); // FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); bli_zger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_ahead, n_ahead, buff_m1, a21, rs_A, a12t, cs_A, A22, rs_A, cs_A ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsv_external().
Referenced by FLA_LU_nopiv_internal().
{ 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_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // a01 = trilu( A00 ) \ a01 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); // a10t = a10t / triu( A00 ) FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); // alpha11 = alpha11 - a10t * a01 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } if ( FLA_Obj_length( ABL ) > 0 ) // ABL = ABL / triu( ATL ) FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, ATL, ABL ); else if ( FLA_Obj_width( ATR ) > 0 ) // ATR = trilu( ATL ) \ ATR FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, ATL, ATR ); return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsv_external().
Referenced by FLA_LU_nopiv_internal().
{ 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_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // a10t = a10t / triu( A00 ) FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); // alpha11 = alpha11 - a10t * a01 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); // a12t = a12t - a10t * A02 FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } if ( FLA_Obj_length( ABL ) > 0 ) // ABL = ABL / triu( ATL ) FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, ATL, ABL ); return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsv_external().
Referenced by FLA_LU_nopiv_internal().
{ 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_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // a01 = trilu( A00 ) \ a10 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); // alpha11 = alpha11 - a10t * a01 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); // a21 = a21 - A20 * a01 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); // a21 = a21 / alpha11 FLA_Inv_scal_external( alpha11, a21 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } if ( FLA_Obj_width( ATR ) > 0 ) // ATR = trilu( ATL ) \ ATR FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, ATL, ATR ); return FLA_SUCCESS; }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), and FLA_Repart_2x2_to_3x3().
Referenced by FLA_LU_nopiv_internal().
{ 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_Obj_width( ATL ) < FLA_Obj_width( A )){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // alpha11 = alpha11 - a10t * a01 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); // a12t = a12t - a10t * A02 FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); // a21 = a21 - A20 * a01 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); // a21 = a21 / alpha11 FLA_Inv_scal_external( alpha11, 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_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_Part_2x2(), and FLA_Repart_2x2_to_3x3().
Referenced by FLA_LU_nopiv_internal().
{ 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_Obj_width( ATL ) < FLA_Obj_width( 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 / alpha11 FLA_Inv_scal_external( alpha11, a21 ); // A22 = A22 - a21 * a12t FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); } return FLA_SUCCESS; }