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Functions | |
FLA_Error | FLA_Apply_Q_UT_UD_lhc_blk_var1 (FLA_Obj D, FLA_Obj T, FLA_Obj W1, FLA_Obj C, FLA_Obj E, fla_apqutud_t *cntl) |
FLA_Error | FLA_Apply_Q_UT_UD_lhc_blk_var2 (FLA_Obj D, FLA_Obj T, FLA_Obj W1, FLA_Obj C, FLA_Obj E, fla_apqutud_t *cntl) |
FLA_Error | FLA_Apply_Q_UT_UD_lhc_blk_var3 (FLA_Obj D, FLA_Obj T, FLA_Obj W, FLA_Obj C, FLA_Obj E, fla_apqutud_t *cntl) |
FLA_Error FLA_Apply_Q_UT_UD_lhc_blk_var1 | ( | FLA_Obj | D, | |
FLA_Obj | T, | |||
FLA_Obj | W1, | |||
FLA_Obj | C, | |||
FLA_Obj | E, | |||
fla_apqutud_t * | cntl | |||
) |
References FLA_Axpy_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Copy_internal(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), and FLA_Trsm_internal().
Referenced by FLA_Apply_Q_UT_UD_lhc().
00037 { 00038 FLA_Obj DL, DR, D0, D1, D2; 00039 00040 FLA_Obj TL, TR, T0, T1, T2; 00041 00042 FLA_Obj T1T, 00043 T2B; 00044 00045 FLA_Obj CT, C0, 00046 CB, C1, 00047 C2; 00048 00049 FLA_Obj W1TL, W1TR, 00050 W1BL, W1BR; 00051 00052 dim_t b; 00053 00054 FLA_Part_1x2( D, &DL, &DR, 0, FLA_LEFT ); 00055 00056 FLA_Part_1x2( T, &TL, &TR, 0, FLA_LEFT ); 00057 00058 FLA_Part_2x1( C, &CT, 00059 &CB, 0, FLA_TOP ); 00060 00061 while ( FLA_Obj_width( DL ) < FLA_Obj_width( D ) ){ 00062 00063 b = FLA_Determine_blocksize( DR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) ); 00064 00065 FLA_Repart_1x2_to_1x3( DL, /**/ DR, &D0, /**/ &D1, &D2, 00066 b, FLA_RIGHT ); 00067 00068 FLA_Repart_1x2_to_1x3( TL, /**/ TR, &T0, /**/ &T1, &T2, 00069 b, FLA_RIGHT ); 00070 00071 FLA_Repart_2x1_to_3x1( CT, &C0, 00072 /* ** */ /* ** */ 00073 &C1, 00074 CB, &C2, b, FLA_BOTTOM ); 00075 00076 /*------------------------------------------------------------*/ 00077 00078 FLA_Part_2x1( T1, &T1T, 00079 &T2B, b, FLA_TOP ); 00080 00081 // W1T = FLA_Top_part( W1, b ); 00082 // W1TL = FLA_Left_part( W1T, FLA_Obj_width( C1 ) ); 00083 FLA_Part_2x2( W1, &W1TL, &W1TR, 00084 &W1BL, &W1BR, b, FLA_Obj_width( C1 ), FLA_TL ); 00085 00086 // W1TL = C1; 00087 FLA_Copy_internal( C1, W1TL, 00088 FLA_Cntl_sub_copy( cntl ) ); 00089 00090 // W1TL = inv( triu( T1T ) )' * ( C1 + D1' * E ); 00091 00092 FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 00093 FLA_ONE, D1, E, FLA_ONE, W1TL, 00094 FLA_Cntl_sub_gemm1( cntl ) ); 00095 00096 FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, 00097 FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, 00098 FLA_ONE, T1T, W1TL, 00099 FLA_Cntl_sub_trsm( cntl ) ); 00100 00101 // C1 = C1 - W1TL; 00102 // E = E - D1 * W1TL; 00103 00104 FLA_Axpy_internal( FLA_MINUS_ONE, W1TL, C1, 00105 FLA_Cntl_sub_axpy( cntl ) ); 00106 00107 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00108 FLA_MINUS_ONE, D1, W1TL, FLA_ONE, E, 00109 FLA_Cntl_sub_gemm2( cntl ) ); 00110 00111 /*------------------------------------------------------------*/ 00112 00113 FLA_Cont_with_1x3_to_1x2( &DL, /**/ &DR, D0, D1, /**/ D2, 00114 FLA_LEFT ); 00115 00116 FLA_Cont_with_1x3_to_1x2( &TL, /**/ &TR, T0, T1, /**/ T2, 00117 FLA_LEFT ); 00118 00119 FLA_Cont_with_3x1_to_2x1( &CT, C0, 00120 C1, 00121 /* ** */ /* ** */ 00122 &CB, C2, FLA_TOP ); 00123 } 00124 00125 return FLA_SUCCESS; 00126 }
FLA_Error FLA_Apply_Q_UT_UD_lhc_blk_var2 | ( | FLA_Obj | D, | |
FLA_Obj | T, | |||
FLA_Obj | W1, | |||
FLA_Obj | C, | |||
FLA_Obj | E, | |||
fla_apqutud_t * | cntl | |||
) |
References FLA_Apply_Q_UT_UD_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Determine_blocksize(), FLA_Obj_length(), FLA_Part_2x1(), and FLA_Repart_2x1_to_3x1().
Referenced by FLA_Apply_Q_UT_UD_lhc().
00037 { 00038 FLA_Obj DT, D0, 00039 DB, D1, 00040 D2; 00041 00042 FLA_Obj TT, T0, 00043 TB, T1, 00044 T2; 00045 00046 FLA_Obj ET, E0, 00047 EB, E1, 00048 E2; 00049 00050 dim_t b; 00051 00052 FLA_Part_2x1( D, &DT, 00053 &DB, 0, FLA_TOP ); 00054 00055 FLA_Part_2x1( T, &TT, 00056 &TB, 0, FLA_TOP ); 00057 00058 FLA_Part_2x1( E, &ET, 00059 &EB, 0, FLA_TOP ); 00060 00061 while ( FLA_Obj_length( DT ) < FLA_Obj_length( D ) ){ 00062 00063 b = FLA_Determine_blocksize( DB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) ); 00064 00065 FLA_Repart_2x1_to_3x1( DT, &D0, 00066 /* ** */ /* ** */ 00067 &D1, 00068 DB, &D2, b, FLA_BOTTOM ); 00069 00070 FLA_Repart_2x1_to_3x1( TT, &T0, 00071 /* ** */ /* ** */ 00072 &T1, 00073 TB, &T2, b, FLA_BOTTOM ); 00074 00075 FLA_Repart_2x1_to_3x1( ET, &E0, 00076 /* ** */ /* ** */ 00077 &E1, 00078 EB, &E2, b, FLA_BOTTOM ); 00079 00080 /*------------------------------------------------------------*/ 00081 00082 /* 00083 / C \ = Q^H / C \ 00084 \ E1 / \ E1 / 00085 where Q is formed from D1 and T1. 00086 */ 00087 00088 FLA_Apply_Q_UT_UD_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_COLUMNWISE, 00089 D1, T1, W1, C, 00090 E1, FLA_Cntl_sub_apqutud( cntl ) ); 00091 00092 /*------------------------------------------------------------*/ 00093 00094 FLA_Cont_with_3x1_to_2x1( &DT, D0, 00095 D1, 00096 /* ** */ /* ** */ 00097 &DB, D2, FLA_TOP ); 00098 00099 FLA_Cont_with_3x1_to_2x1( &TT, T0, 00100 T1, 00101 /* ** */ /* ** */ 00102 &TB, T2, FLA_TOP ); 00103 00104 FLA_Cont_with_3x1_to_2x1( &ET, E0, 00105 E1, 00106 /* ** */ /* ** */ 00107 &EB, E2, FLA_TOP ); 00108 } 00109 00110 return FLA_SUCCESS; 00111 }
FLA_Error FLA_Apply_Q_UT_UD_lhc_blk_var3 | ( | FLA_Obj | D, | |
FLA_Obj | T, | |||
FLA_Obj | W, | |||
FLA_Obj | C, | |||
FLA_Obj | E, | |||
fla_apqutud_t * | cntl | |||
) |
References FLA_Apply_Q_UT_UD_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_UD_lhc().
00037 { 00038 FLA_Obj WL, WR, W0, W1, W2; 00039 00040 FLA_Obj CL, CR, C0, C1, C2; 00041 00042 FLA_Obj EL, ER, E0, E1, E2; 00043 00044 dim_t b; 00045 00046 FLA_Part_1x2( W, &WL, &WR, 0, FLA_LEFT ); 00047 00048 FLA_Part_1x2( C, &CL, &CR, 0, FLA_LEFT ); 00049 00050 FLA_Part_1x2( E, &EL, &ER, 0, FLA_LEFT ); 00051 00052 while ( FLA_Obj_width( CL ) < FLA_Obj_width( C ) ){ 00053 00054 b = FLA_Determine_blocksize( CR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) ); 00055 00056 FLA_Repart_1x2_to_1x3( WL, /**/ WR, &W0, /**/ &W1, &W2, 00057 b, FLA_RIGHT ); 00058 00059 FLA_Repart_1x2_to_1x3( CL, /**/ CR, &C0, /**/ &C1, &C2, 00060 b, FLA_RIGHT ); 00061 00062 FLA_Repart_1x2_to_1x3( EL, /**/ ER, &E0, /**/ &E1, &E2, 00063 b, FLA_RIGHT ); 00064 00065 /*------------------------------------------------------------*/ 00066 00067 /* 00068 / C1 \ = Q^H / C1 \ 00069 \ E1 / \ E1 / 00070 where Q is formed from D and T. 00071 */ 00072 00073 FLA_Apply_Q_UT_UD_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_COLUMNWISE, 00074 D, T, W1, C1, 00075 E1, FLA_Cntl_sub_apqutud( cntl ) ); 00076 00077 /*------------------------------------------------------------*/ 00078 00079 FLA_Cont_with_1x3_to_1x2( &WL, /**/ &WR, W0, W1, /**/ W2, 00080 FLA_LEFT ); 00081 00082 FLA_Cont_with_1x3_to_1x2( &CL, /**/ &CR, C0, C1, /**/ C2, 00083 FLA_LEFT ); 00084 00085 FLA_Cont_with_1x3_to_1x2( &EL, /**/ &ER, E0, E1, /**/ E2, 00086 FLA_LEFT ); 00087 } 00088 00089 return FLA_SUCCESS; 00090 }