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Functions | |
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; }