FLA_Chol_u_blk_var1.c File Reference

(r)


Functions

FLA_Error FLA_Chol_u_blk_var1 (FLA_Obj A, fla_chol_t *cntl)

Function Documentation

FLA_Error FLA_Chol_u_blk_var1 ( FLA_Obj  A,
fla_chol_t cntl 
)

References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and FLA_Trsm_internal().

Referenced by FLA_Chol_u().

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   int value = 0;
00046 
00047   FLA_Part_2x2( A,    &ATL, &ATR,
00048                       &ABL, &ABR,     0, 0, FLA_TL );
00049 
00050   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00051 
00052     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00053 
00054     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00055                         /* ************* */   /* ******************** */
00056                                                 &A10, /**/ &A11, &A12,
00057                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00058                            b, b, FLA_BR );
00059 
00060     /*------------------------------------------------------------*/
00061 
00062     if ( FLA_Obj_is_real( A ) )
00063     {
00064       /* A01 = inv( triu( A00 )' ) * A01; */
00065       FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
00066                          FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
00067                          FLA_ONE, A00, A01,
00068                          FLA_Cntl_sub_trsm( cntl ) );
00069 
00070       /* A11 = A11 - A01' * A01; */
00071       FLA_Syrk_internal( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE,
00072                          FLA_MINUS_ONE, A01, FLA_ONE, A11,
00073                          FLA_Cntl_sub_syrk( cntl ) );
00074 
00075       /* A11 = chol( A11 ); */
00076       value = FLA_Chol_internal( FLA_UPPER_TRIANGULAR, A11,
00077                                  FLA_Cntl_sub_chol( cntl ) );
00078 
00079       if ( value != FLA_SUCCESS )
00080         return ( FLA_Obj_length( A00 ) + value );
00081     }
00082     else
00083     {
00084       /* A01 = inv( triu( A00 )' ) * A01; */
00085       FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
00086                          FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
00087                          FLA_ONE, A00, A01,
00088                          FLA_Cntl_sub_trsm( cntl ) );
00089 
00090       /* A11 = A11 - A01' * A01; */
00091       FLA_Herk_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
00092                          FLA_MINUS_ONE, A01, FLA_ONE, A11,
00093                          FLA_Cntl_sub_herk( cntl ) );
00094 
00095       /* A11 = chol( A11 ); */
00096       value = FLA_Chol_internal( FLA_UPPER_TRIANGULAR, A11,
00097                                  FLA_Cntl_sub_chol( cntl ) );
00098 
00099       if ( value != FLA_SUCCESS )
00100         return ( FLA_Obj_length( A00 ) + value );
00101     }
00102 
00103     /*------------------------------------------------------------*/
00104 
00105     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00106                                                      A10, A11, /**/ A12,
00107                             /* ************** */  /* ****************** */
00108                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00109                               FLA_TL );
00110   }
00111 
00112   return value;
00113 }


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