FLA_Apply_Q_UT_lhc.h File Reference

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Functions

FLA_Error FLA_Apply_Q_UT_lhc_blk_var1 (FLA_Obj A, FLA_Obj T, FLA_Obj W, FLA_Obj B, fla_apqut_t *cntl)
FLA_Error FLA_Apply_Q_UT_lhc_blk_var2 (FLA_Obj A, FLA_Obj T, FLA_Obj W, FLA_Obj B, fla_apqut_t *cntl)


Function Documentation

FLA_Error FLA_Apply_Q_UT_lhc_blk_var1 ( FLA_Obj  A,
FLA_Obj  T,
FLA_Obj  W,
FLA_Obj  B,
fla_apqut_t cntl 
)

References FLA_Axpy_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_internal(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_min_dim(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_internal(), and FLA_Trsm_internal().

Referenced by FLA_Apply_Q_UT_lhc().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   FLA_Obj TL,    TR,       T0,  T1,  T2;
00042 
00043   FLA_Obj T1T,
00044           T2B;
00045 
00046   FLA_Obj W1TL,  W1TR,
00047           W1BL,  W1BR;
00048 
00049   FLA_Obj BT,              B0,
00050           BB,              B1,
00051                            B2;
00052 
00053   dim_t b;
00054 
00055   FLA_Part_2x2( A,    &ATL, &ATR,
00056                       &ABL, &ABR,     0, 0, FLA_TL );
00057 
00058   FLA_Part_1x2( T,    &TL,  &TR,      0, FLA_LEFT );
00059 
00060   FLA_Part_2x1( B,    &BT, 
00061                       &BB,            0, FLA_TOP );
00062 
00063   while ( FLA_Obj_min_dim( ABR ) > 0 ){
00064 
00065     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00066 
00067     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00068                         /* ************* */   /* ******************** */
00069                                                 &A10, /**/ &A11, &A12,
00070                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00071                            b, b, FLA_BR );
00072 
00073     FLA_Repart_1x2_to_1x3( TL,  /**/ TR,        &T0, /**/ &T1, &T2,
00074                            b, FLA_RIGHT );
00075 
00076     FLA_Repart_2x1_to_3x1( BT,                &B0, 
00077                         /* ** */            /* ** */
00078                                               &B1, 
00079                            BB,                &B2,        b, FLA_BOTTOM );
00080 
00081     /*------------------------------------------------------------*/
00082 
00083     FLA_Part_2x1( T1,    &T1T, 
00084                          &T2B, b, FLA_TOP );
00085 
00086     // W1T  = FLA_Top_part( W1, b );
00087     // W1TL = FLA_Left_part( W1T, FLA_Obj_width( B1 ) );
00088     FLA_Part_2x2( W1,    &W1TL, &W1TR,
00089                          &W1BL, &W1BR,     b, FLA_Obj_width( B1 ), FLA_TL );
00090 
00091     // W1TL = B1;
00092     FLA_Copy_internal( B1, W1TL,
00093                        FLA_Cntl_sub_copy( cntl ) );
00094 
00095     // U11 = trilu( A11 );
00096     // U21 = A21;
00097 
00098     // W1TL = inv( triu( T1T ) )' * ( U11' * B1 + U21' * B2 );
00099 
00100     FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
00101                        FLA_CONJ_TRANSPOSE, FLA_UNIT_DIAG,
00102                        FLA_ONE, A11, W1TL,
00103                        FLA_Cntl_sub_trmm1( cntl ) );
00104 
00105     FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
00106                        FLA_ONE, A21, B2, FLA_ONE, W1TL,
00107                        FLA_Cntl_sub_gemm1( cntl ) );
00108 
00109     FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
00110                        FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
00111                        FLA_ONE, T1T, W1TL,
00112                        FLA_Cntl_sub_trsm( cntl ) );
00113 
00114     // B2 = B2 - U21 * W1TL;
00115     // B1 = B1 - U11 * W1TL;
00116 
00117     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00118                        FLA_MINUS_ONE, A21, W1TL, FLA_ONE, B2,
00119                        FLA_Cntl_sub_gemm2( cntl ) );
00120 
00121     FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
00122                        FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
00123                        FLA_MINUS_ONE, A11, W1TL,
00124                        FLA_Cntl_sub_trmm2( cntl ) );
00125 
00126     FLA_Axpy_internal( FLA_ONE, W1TL, B1,
00127                        FLA_Cntl_sub_axpy( cntl ) );
00128 
00129     /*------------------------------------------------------------*/
00130 
00131     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00132                                                      A10, A11, /**/ A12,
00133                             /* ************** */  /* ****************** */
00134                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00135                               FLA_TL );
00136 
00137     FLA_Cont_with_1x3_to_1x2( &TL,  /**/ &TR,        T0, T1, /**/ T2,
00138                               FLA_LEFT );
00139 
00140     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00141                                                   B1, 
00142                             /* ** */           /* ** */
00143                               &BB,                B2,     FLA_TOP );
00144   }
00145 
00146   return FLA_SUCCESS;
00147 }

FLA_Error FLA_Apply_Q_UT_lhc_blk_var2 ( FLA_Obj  A,
FLA_Obj  T,
FLA_Obj  W,
FLA_Obj  B,
fla_apqut_t cntl 
)

References FLA_Apply_Q_UT_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), and FLA_Repart_1x2_to_1x3().

Referenced by FLA_Apply_Q_UT_lhc().

00036 {
00037   FLA_Obj BL,    BR,       B0,  B1,  B2;
00038 
00039   FLA_Obj WL,    WR,       W0,  W1,  W2;
00040 
00041   dim_t b;
00042 
00043   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );
00044 
00045   FLA_Part_1x2( W,    &WL,  &WR,      0, FLA_LEFT );
00046 
00047   while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){
00048 
00049     b = FLA_Determine_blocksize( BR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) );
00050 
00051     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &B1, &B2,
00052                            b, FLA_RIGHT );
00053 
00054     FLA_Repart_1x2_to_1x3( WL,  /**/ WR,        &W0, /**/ &W1, &W2,
00055                            b, FLA_RIGHT );
00056 
00057     /*------------------------------------------------------------*/
00058 
00059     // B1 = Q^H * B1;
00060     FLA_Apply_Q_UT_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_COLUMNWISE,
00061                              A, T, W1, B1,
00062                              FLA_Cntl_sub_apqut( cntl ) );
00063 
00064     /*------------------------------------------------------------*/
00065 
00066     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, B1, /**/ B2,
00067                               FLA_LEFT );
00068 
00069     FLA_Cont_with_1x3_to_1x2( &WL,  /**/ &WR,        W0, W1, /**/ W2,
00070                               FLA_LEFT );
00071   }
00072 
00073   return FLA_SUCCESS;
00074 }


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