FLA_LU_piv_blk_var5.c File Reference

(r)


Functions

FLA_Error FLA_LU_piv_blk_var5 (FLA_Obj A, FLA_Obj p, fla_lu_t *cntl)

Function Documentation

FLA_Error FLA_LU_piv_blk_var5 ( FLA_Obj  A,
FLA_Obj  p,
fla_lu_t cntl 
)

References FLA_Apply_pivots(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_piv_internal(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().

Referenced by FLA_LU_piv_internal().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   FLA_Obj pT,              p0,
00042           pB,              p1,
00043                            p2;
00044 
00045   FLA_Obj AB0, AB1, AB2;
00046 
00047   dim_t b;
00048 
00049   FLA_Part_2x2( A,    &ATL, &ATR,
00050                       &ABL, &ABR,     0, 0, FLA_TL );
00051 
00052   FLA_Part_2x1( p,    &pT, 
00053                       &pB,            0, FLA_TOP );
00054 
00055   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) &&
00056           FLA_Obj_width( ATL ) < FLA_Obj_width( A )){
00057 
00058     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00059 
00060     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00061                         /* ************* */   /* ******************** */
00062                                                 &A10, /**/ &A11, &A12,
00063                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00064                            b, b, FLA_BR );
00065 
00066     FLA_Repart_2x1_to_3x1( pT,                &p0, 
00067                         /* ** */            /* ** */
00068                                               &p1, 
00069                            pB,                &p2,        b, FLA_BOTTOM );
00070 
00071     /*------------------------------------------------------------*/
00072 
00073     /* AB1 = / A11 \
00074              \ A21 / */
00075     FLA_Merge_2x1( A11,
00076                    A21,      &AB1 );
00077 
00078     /* AB1, p1 = LU_piv( AB1 ) */
00079     FLA_LU_piv_internal( AB1, p1, 
00080                          FLA_Cntl_sub_lu( cntl ) );
00081 
00082     /* AB0 = / A10 \
00083              \ A20 / */
00084     FLA_Merge_2x1( A10,
00085                    A20,      &AB0 );
00086 
00087     /* Apply computed pivots to AB0 */
00088     FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p1, AB0 );
00089 
00090     /* AB2 = / A12 \
00091              \ A22 / */
00092     FLA_Merge_2x1( A12,
00093                    A22,      &AB2 );
00094 
00095     /* Apply computed pivots to AB2 */
00096     FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p1, AB2 );
00097 
00098     /* A12 = trilu( A11 ) \ A12 */ 
00099     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
00100                        FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
00101                        FLA_ONE, A11, A12,
00102                        FLA_Cntl_sub_trsm1( cntl ) );
00103 
00104     /* A22 = A22 - A21 * A12 */
00105     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00106                        FLA_MINUS_ONE, A21, A12, FLA_ONE, A22,
00107                        FLA_Cntl_sub_gemm1( cntl ) );
00108 
00109     /*------------------------------------------------------------*/
00110 
00111     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00112                                                      A10, A11, /**/ A12,
00113                             /* ************** */  /* ****************** */
00114                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00115                               FLA_TL );
00116 
00117     FLA_Cont_with_3x1_to_2x1( &pT,                p0, 
00118                                                   p1, 
00119                             /* ** */           /* ** */
00120                               &pB,                p2,     FLA_TOP );
00121 
00122   }
00123 
00124   return FLA_SUCCESS;
00125 }


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