FLA_LQ_UT_blk_var2.c File Reference

(r)


Functions

FLA_Error FLA_LQ_UT_blk_var2 (FLA_Obj A, FLA_Obj T, fla_lqut_t *cntl)

Function Documentation

FLA_Error FLA_LQ_UT_blk_var2 ( FLA_Obj  A,
FLA_Obj  T,
fla_lqut_t cntl 
)

References FLA_Axpy_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Determine_blocksize(), FLA_Gemm_external(), FLA_LQ_UT_internal(), FLA_Merge_1x2(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_min_dim(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_external(), and FLA_Trsm_external().

Referenced by FLA_LQ_UT_internal().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   FLA_Obj TT,              T0,
00042           TB,              T1,
00043                            W21;
00044 
00045   FLA_Obj W21TL,   W21TR,
00046           W21BL,   W21BR;
00047 
00048   FLA_Obj T1L,   T2R,      AB1;
00049 
00050   dim_t b;
00051 
00052   FLA_Part_2x2( A,    &ATL, &ATR,
00053                       &ABL, &ABR,     0, 0, FLA_TL );
00054 
00055   FLA_Part_2x1( T,    &TT,
00056                       &TB,            0, FLA_TOP );
00057 
00058   while ( FLA_Obj_min_dim( ABR ) > 0 ){
00059 
00060     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00061 
00062     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00063                         /* ************* */   /* ******************** */
00064                                                 &A10, /**/ &A11, &A12,
00065                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00066                            b, b, FLA_BR );
00067 
00068     FLA_Repart_2x1_to_3x1( TT,                &T0,
00069                         /* ** */            /* ** */
00070                                               &T1,
00071                            TB,                &W21,        b, FLA_BOTTOM );
00072 
00073     /*------------------------------------------------------------*/
00074 
00075     /*
00076       T1L = FLA_Left_part( T1, b );
00077     */
00078 
00079     FLA_Part_1x2( T1,    &T1L,  &T2R,      b, FLA_LEFT );
00080 
00081     /*
00082       [ U1, T1L ] = FLA_LQ_UT_internal( [ A11 A12 ], T1L );
00083     */
00084 
00085     FLA_Merge_1x2( A11, A12,   &AB1 );
00086 
00087     FLA_LQ_UT_internal( AB1, T1L, 
00088                         FLA_Cntl_sub_lqut( cntl ));
00089 
00090 
00091     if ( FLA_Obj_length( A21 ) > 0 )
00092     {
00093       /*
00094         W21L  = FLA_Left_part( W21, b );
00095         W21TL = FLA_Top_part( W21L, FLA_Obj_length( A21 ) );
00096       */
00097 
00098       FLA_Part_2x2( W21,    &W21TL, &W21TR,
00099                             &W21BL, &W21BR,    FLA_Obj_length( A21 ), b, FLA_TL );
00100 
00101       /*
00102         U11 = triuu( A11 );
00103         U12 = A12;
00104       
00105         W21TL = ( A21 * U11' + A22 * U12' ) * triu( inv(T1L) );
00106       */
00107 
00108       FLA_Copy_external( A21, W21TL );
00109       FLA_Trmm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 
00110                          FLA_CONJ_TRANSPOSE, FLA_UNIT_DIAG,
00111                          FLA_ONE, A11, W21TL );
00112       FLA_Gemm_external( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
00113                          FLA_ONE, A22, A12, FLA_ONE, W21TL );
00114       FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 
00115                          FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 
00116                          FLA_ONE, T1L, W21TL );
00117 
00118       /*
00119         A22 = A22 - W21TL * U12;
00120         A21 = A21 - W21TL * U11;
00121       */
00122 
00123       FLA_Gemm_external( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
00124                          FLA_MINUS_ONE, W21TL, A12, FLA_ONE, A22 );
00125       FLA_Trmm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 
00126                          FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
00127                          FLA_MINUS_ONE, A11, W21TL );
00128       FLA_Axpy_external( FLA_ONE, W21TL, A21 );
00129     }
00130 
00131     /*------------------------------------------------------------*/
00132 
00133     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00134                                                      A10, A11, /**/ A12,
00135                             /* ************** */  /* ****************** */
00136                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00137                               FLA_TL );
00138 
00139     FLA_Cont_with_3x1_to_2x1( &TT,                T0,
00140                                                   T1,
00141                             /* ** */           /* ** */
00142                               &TB,                W21,     FLA_TOP );
00143 
00144   }
00145 
00146   return FLA_SUCCESS;
00147 }


Generated on Mon Jul 6 05:45:56 2009 for libflame by  doxygen 1.5.9