FLA_LU_nopiv_blk_var3.c File Reference

(r)


Functions

FLA_Error FLA_LU_nopiv_blk_var3 (FLA_Obj A, fla_lu_t *cntl)

Function Documentation

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().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x2( A,    &ATL, &ATR,
00046                       &ABL, &ABR,     0, 0, FLA_TL );
00047 
00048   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) &&
00049           FLA_Obj_width( ATL ) < FLA_Obj_width( A )){
00050 
00051     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00052 
00053     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00054                         /* ************* */   /* ******************** */
00055                                                 &A10, /**/ &A11, &A12,
00056                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00057                            b, b, FLA_BR );
00058 
00059     /*------------------------------------------------------------*/
00060 
00061     /* A01 = trilu( A00 ) \ A10 */ 
00062     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
00063                        FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
00064                        FLA_ONE, A00, A01,
00065                        FLA_Cntl_sub_trsm1( cntl ) );
00066 
00067     /* A11 = LU( A11 - A10 * A01 ) */
00068     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00069                        FLA_MINUS_ONE, A10, A01, FLA_ONE, A11,
00070                        FLA_Cntl_sub_gemm1( cntl ) );
00071 
00072     FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) );
00073 
00074     /* A21 = A21 - A20 * A01 */
00075     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00076                        FLA_MINUS_ONE, A20, A01, FLA_ONE, A21,
00077                        FLA_Cntl_sub_gemm2( cntl ) );
00078 
00079     /* A21 = A21 / triu( A11 ) */ 
00080     FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 
00081                        FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
00082                        FLA_ONE, A11, A21,
00083                        FLA_Cntl_sub_trsm2( cntl ) );
00084 
00085     /*------------------------------------------------------------*/
00086 
00087     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00088                                                      A10, A11, /**/ A12,
00089                             /* ************** */  /* ****************** */
00090                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00091                               FLA_TL );
00092   }
00093 
00094   if ( FLA_Obj_width( ATR ) > 0 )
00095     /* ATR = trilu( ATL ) \ ATR */ 
00096     FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
00097                        FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
00098                        FLA_ONE, ATL, ATR );
00099 
00100   return FLA_SUCCESS;
00101 }


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