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Functions | |
FLA_Error | FLA_QR_UT_blk_var2 (FLA_Obj A, FLA_Obj T, fla_qrut_t *cntl) |
FLA_Error | FLA_QR_UT_Accum_T_unb_var1 (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_QR_UT_Accum_T_blk_var1 (FLA_Obj A, FLA_Obj T, fla_qrut_t *cntl) |
FLA_Error | FLA_QR_UT_Accum_T_opt_var1 (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_QR_UT_Accum_T_opt_var1_float (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_QR_UT_Accum_T_opt_var1_double (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_QR_UT_Accum_T_opt_var1_scomplex (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_QR_UT_Accum_T_opt_var1_dcomplex (FLA_Obj A, FLA_Obj T) |
FLA_Error FLA_QR_UT_Accum_T_blk_var1 | ( | FLA_Obj | A, | |
FLA_Obj | T, | |||
fla_qrut_t * | cntl | |||
) |
References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Copyt_external(), FLA_Determine_blocksize(), FLA_Gemm_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_min_dim(), FLA_ONE, FLA_Part_2x2(), FLA_QR_UT_internal(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_external(), and FLA_Trsm_external().
Referenced by FLA_QR_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 TTL, TTR, T00, T01, T02, 00042 TBL, TBR, T10, T11, W12, 00043 T20, T21, T22; 00044 00045 FLA_Obj AB1; 00046 00047 dim_t b; 00048 00049 FLA_Part_2x2( A, &ATL, &ATR, 00050 &ABL, &ABR, 0, 0, FLA_TL ); 00051 00052 FLA_Part_2x2( T, &TTL, &TTR, 00053 &TBL, &TBR, 0, 0, FLA_TL ); 00054 00055 while ( FLA_Obj_min_dim( ABR ) > 0 ){ 00056 00057 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00058 00059 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00060 /* ************* */ /* ******************** */ 00061 &A10, /**/ &A11, &A12, 00062 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00063 b, b, FLA_BR ); 00064 00065 FLA_Repart_2x2_to_3x3( TTL, /**/ TTR, &T00, /**/ &T01, &T02, 00066 /* ************* */ /* ******************** */ 00067 &T10, /**/ &T11, &W12, 00068 TBL, /**/ TBR, &T20, /**/ &T21, &T22, 00069 b, b, FLA_BR ); 00070 00071 /*------------------------------------------------------------*/ 00072 00073 /* 00074 [ U1, T11 ] = FLA_QR_UT_internal( [ A11 00075 A21 ], T11 ); 00076 */ 00077 00078 FLA_Merge_2x1( A11, 00079 A21, &AB1 ); 00080 00081 FLA_QR_UT_internal( AB1, T11, 00082 FLA_Cntl_sub_qrut( cntl ) ); 00083 00084 /* 00085 U11 = trilu( A11 ); 00086 U21 = A21; 00087 00088 W12 = triu( inv(T11) )' * ( U11' * A12 + U21' * A22 ); 00089 */ 00090 00091 FLA_Copy_external( A12, W12 ); 00092 FLA_Trmm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00093 FLA_CONJ_TRANSPOSE, FLA_UNIT_DIAG, 00094 FLA_ONE, A11, W12 ); 00095 FLA_Gemm_external( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 00096 FLA_ONE, A21, A22, FLA_ONE, W12 ); 00097 FLA_Trsm_external( FLA_LEFT, FLA_UPPER_TRIANGULAR, 00098 FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, 00099 FLA_ONE, T11, W12 ); 00100 00101 /* 00102 A22 = A22 - U21 * W12; 00103 A12 = A12 - U11 * W12; 00104 */ 00105 00106 FLA_Gemm_external( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00107 FLA_MINUS_ONE, A21, W12, FLA_ONE, A22 ); 00108 FLA_Trmm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00109 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00110 FLA_MINUS_ONE, A11, W12 ); 00111 FLA_Axpy_external( FLA_ONE, W12, A12 ); 00112 00113 /* 00114 Update T 00115 00116 T01 = A10' * U11 + A20' * U21; 00117 00118 Recall: U11 = trilu( A11 ); 00119 U21 = A21; 00120 */ 00121 00122 FLA_Copyt_external( FLA_CONJ_TRANSPOSE, A10, T01 ); 00123 FLA_Trmm_external( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 00124 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00125 FLA_ONE, A11, T01 ); 00126 FLA_Gemm_external( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 00127 FLA_ONE, A20, A21, FLA_ONE, T01 ); 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_3x3_to_2x2( &TTL, /**/ &TTR, T00, T01, /**/ T02, 00138 T10, T11, /**/ W12, 00139 /* ************** */ /* ****************** */ 00140 &TBL, /**/ &TBR, T20, T21, /**/ T22, 00141 FLA_TL ); 00142 00143 } 00144 00145 return FLA_SUCCESS; 00146 }
References FLA_Obj_datatype(), FLA_QR_UT_Accum_T_opt_var1_dcomplex(), FLA_QR_UT_Accum_T_opt_var1_double(), FLA_QR_UT_Accum_T_opt_var1_float(), and FLA_QR_UT_Accum_T_opt_var1_scomplex().
Referenced by FLA_QR_UT_internal().
00036 { 00037 FLA_Datatype datatype; 00038 00039 datatype = FLA_Obj_datatype( A ); 00040 00041 switch ( datatype ) 00042 { 00043 case FLA_FLOAT: 00044 FLA_QR_UT_Accum_T_opt_var1_float( A, T ); 00045 break; 00046 00047 case FLA_DOUBLE: 00048 FLA_QR_UT_Accum_T_opt_var1_double( A, T ); 00049 break; 00050 00051 case FLA_COMPLEX: 00052 FLA_QR_UT_Accum_T_opt_var1_scomplex( A, T ); 00053 break; 00054 00055 case FLA_DOUBLE_COMPLEX: 00056 FLA_QR_UT_Accum_T_opt_var1_dcomplex( A, T ); 00057 break; 00058 } 00059 00060 return FLA_SUCCESS; 00061 }
References dscal(), FLA_Apply_househ2_UT_opt_dcomplex(), FLA_Househ2_UT_opt_dcomplex(), FLA_MINUS_ONE, FLA_Obj_ldim(), FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, dcomplex::real, zcopy(), and zgemv().
Referenced by FLA_QR_UT_Accum_T_opt_var1().
00297 { 00298 dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); 00299 dcomplex* buff_T = FLA_DOUBLE_COMPLEX_PTR( T ); 00300 dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); 00301 dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); 00302 00303 int m_A = FLA_Obj_length( A ); 00304 int n_AT = FLA_Obj_width( A ); 00305 int ldim_A = FLA_Obj_ldim( A ); 00306 int ldim_T = FLA_Obj_ldim( T ); 00307 00308 char trans = 'C'; 00309 int inc_one = 1; 00310 int inc_two = 2; 00311 int i; 00312 00313 for ( i = 0; i < n_AT; ++i ) 00314 { 00315 dcomplex* a10t = buff_A + (0 )*ldim_A + i; 00316 dcomplex* A20 = buff_A + (0 )*ldim_A + i + 1; 00317 dcomplex* alpha11 = buff_A + (i )*ldim_A + i; 00318 dcomplex* a21 = buff_A + (i )*ldim_A + i + 1; 00319 dcomplex* a12t = buff_A + (i+1)*ldim_A + i; 00320 dcomplex* A22 = buff_A + (i+1)*ldim_A + i + 1; 00321 00322 dcomplex* tau11 = buff_T + (i )*ldim_T + i; 00323 dcomplex* t01 = buff_T + (i )*ldim_T; 00324 00325 int m_ahead = m_A - i - 1; 00326 int n_ahead = n_AT - i - 1; 00327 int n_behind = i; 00328 00329 /*------------------------------------------------------------*/ 00330 00331 // FLA_Househ2_UT( alpha11, 00332 // a21, tau11 ); 00333 FLA_Househ2_UT_opt_dcomplex( m_ahead, 00334 alpha11, 00335 a21, inc_one, 00336 tau11 ); 00337 00338 if ( i > 0 ) 00339 { 00340 // FLA_Copyt_external( FLA_CONJ_TRANSPOSE, a10t, t01 ); 00341 FLA_C2F( zcopy )( &n_behind, 00342 a10t, &ldim_A, 00343 t01, &inc_one ); 00344 FLA_C2F( dscal )( &n_behind, 00345 &(buff_m1->real), 00346 (( double* ) t01 ) + 1, &inc_two ); 00347 00348 // // t01 = a10t' + A20' * a21; 00349 // FLA_Gemv_external( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ONE, t01 ); 00350 FLA_C2F( zgemv )( &trans, 00351 &m_ahead, &n_behind, 00352 buff_1, 00353 A20, &ldim_A, 00354 a21, &inc_one, 00355 buff_1, 00356 t01, &inc_one ); 00357 } 00358 00359 if ( i < n_AT - 1 ) 00360 { 00361 // FLA_Apply_househ2_UT( tau11, a21, a12t, 00362 // A22 ); 00363 FLA_Apply_househ2_UT_opt_dcomplex( m_ahead, n_ahead, 00364 tau11, 00365 a21, inc_one, 00366 a12t, ldim_A, 00367 A22, ldim_A ); 00368 } 00369 00370 /*------------------------------------------------------------*/ 00371 00372 } 00373 00374 return FLA_SUCCESS; 00375 }
References dcopy(), dgemv(), FLA_Apply_househ2_UT_opt_double(), FLA_Househ2_UT_opt_double(), FLA_Obj_ldim(), FLA_Obj_length(), FLA_Obj_width(), and FLA_ONE.
Referenced by FLA_QR_UT_Accum_T_opt_var1().
00140 { 00141 double* buff_A = FLA_DOUBLE_PTR( A ); 00142 double* buff_T = FLA_DOUBLE_PTR( T ); 00143 double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); 00144 00145 int m_A = FLA_Obj_length( A ); 00146 int n_AT = FLA_Obj_width( A ); 00147 int ldim_A = FLA_Obj_ldim( A ); 00148 int ldim_T = FLA_Obj_ldim( T ); 00149 00150 char trans = 'T'; 00151 int inc_one = 1; 00152 int i; 00153 00154 for ( i = 0; i < n_AT; ++i ) 00155 { 00156 double* a10t = buff_A + (0 )*ldim_A + i; 00157 double* A20 = buff_A + (0 )*ldim_A + i + 1; 00158 double* alpha11 = buff_A + (i )*ldim_A + i; 00159 double* a21 = buff_A + (i )*ldim_A + i + 1; 00160 double* a12t = buff_A + (i+1)*ldim_A + i; 00161 double* A22 = buff_A + (i+1)*ldim_A + i + 1; 00162 00163 double* tau11 = buff_T + (i )*ldim_T + i; 00164 double* t01 = buff_T + (i )*ldim_T; 00165 00166 int m_ahead = m_A - i - 1; 00167 int n_ahead = n_AT - i - 1; 00168 int n_behind = i; 00169 00170 /*------------------------------------------------------------*/ 00171 00172 // FLA_Househ2_UT( alpha11, 00173 // a21, tau11 ); 00174 FLA_Househ2_UT_opt_double( m_ahead, 00175 alpha11, 00176 a21, inc_one, 00177 tau11 ); 00178 00179 if ( i > 0 ) 00180 { 00181 // FLA_Copyt_external( FLA_CONJ_TRANSPOSE, a10t, t01 ); 00182 FLA_C2F( dcopy )( &n_behind, 00183 a10t, &ldim_A, 00184 t01, &inc_one ); 00185 00186 // // t01 = a10t' + A20' * a21; 00187 // FLA_Gemv_external( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ONE, t01 ); 00188 FLA_C2F( dgemv )( &trans, 00189 &m_ahead, &n_behind, 00190 buff_1, 00191 A20, &ldim_A, 00192 a21, &inc_one, 00193 buff_1, 00194 t01, &inc_one ); 00195 } 00196 00197 if ( i < n_AT - 1 ) 00198 { 00199 // FLA_Apply_househ2_UT( tau11, a21, a12t, 00200 // A22 ); 00201 FLA_Apply_househ2_UT_opt_double( m_ahead, n_ahead, 00202 tau11, 00203 a21, inc_one, 00204 a12t, ldim_A, 00205 A22, ldim_A ); 00206 } 00207 00208 /*------------------------------------------------------------*/ 00209 00210 } 00211 00212 return FLA_SUCCESS; 00213 }
References FLA_Apply_househ2_UT_opt_float(), FLA_Househ2_UT_opt_float(), FLA_Obj_ldim(), FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, scopy(), and sgemv().
Referenced by FLA_QR_UT_Accum_T_opt_var1().
00064 { 00065 float* buff_A = FLA_FLOAT_PTR( A ); 00066 float* buff_T = FLA_FLOAT_PTR( T ); 00067 float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); 00068 00069 int m_A = FLA_Obj_length( A ); 00070 int n_AT = FLA_Obj_width( A ); 00071 int ldim_A = FLA_Obj_ldim( A ); 00072 int ldim_T = FLA_Obj_ldim( T ); 00073 00074 char trans = 'T'; 00075 int inc_one = 1; 00076 int i; 00077 00078 for ( i = 0; i < n_AT; ++i ) 00079 { 00080 float* a10t = buff_A + (0 )*ldim_A + i; 00081 float* A20 = buff_A + (0 )*ldim_A + i + 1; 00082 float* alpha11 = buff_A + (i )*ldim_A + i; 00083 float* a21 = buff_A + (i )*ldim_A + i + 1; 00084 float* a12t = buff_A + (i+1)*ldim_A + i; 00085 float* A22 = buff_A + (i+1)*ldim_A + i + 1; 00086 00087 float* tau11 = buff_T + (i )*ldim_T + i; 00088 float* t01 = buff_T + (i )*ldim_T; 00089 00090 int m_ahead = m_A - i - 1; 00091 int n_ahead = n_AT - i - 1; 00092 int n_behind = i; 00093 00094 /*------------------------------------------------------------*/ 00095 00096 // FLA_Househ2_UT( alpha11, 00097 // a21, tau11 ); 00098 FLA_Househ2_UT_opt_float( m_ahead, 00099 alpha11, 00100 a21, inc_one, 00101 tau11 ); 00102 00103 if ( i > 0 ) 00104 { 00105 // FLA_Copyt_external( FLA_CONJ_TRANSPOSE, a10t, t01 ); 00106 FLA_C2F( scopy )( &n_behind, 00107 a10t, &ldim_A, 00108 t01, &inc_one ); 00109 00110 // // t01 = a10t' + A20' * a21; 00111 // FLA_Gemv_external( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ONE, t01 ); 00112 FLA_C2F( sgemv )( &trans, 00113 &m_ahead, &n_behind, 00114 buff_1, 00115 A20, &ldim_A, 00116 a21, &inc_one, 00117 buff_1, 00118 t01, &inc_one ); 00119 } 00120 00121 if ( i < n_AT - 1 ) 00122 { 00123 // FLA_Apply_househ2_UT( tau11, a21, a12t, 00124 // A22 ); 00125 FLA_Apply_househ2_UT_opt_float( m_ahead, n_ahead, 00126 tau11, 00127 a21, inc_one, 00128 a12t, ldim_A, 00129 A22, ldim_A ); 00130 } 00131 00132 /*------------------------------------------------------------*/ 00133 00134 } 00135 00136 return FLA_SUCCESS; 00137 }
References ccopy(), cgemv(), FLA_Apply_househ2_UT_opt_scomplex(), FLA_Househ2_UT_opt_scomplex(), FLA_MINUS_ONE, FLA_Obj_ldim(), FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, scomplex::real, and sscal().
Referenced by FLA_QR_UT_Accum_T_opt_var1().
00216 { 00217 scomplex* buff_A = FLA_COMPLEX_PTR( A ); 00218 scomplex* buff_T = FLA_COMPLEX_PTR( T ); 00219 scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); 00220 scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); 00221 00222 int m_A = FLA_Obj_length( A ); 00223 int n_AT = FLA_Obj_width( A ); 00224 int ldim_A = FLA_Obj_ldim( A ); 00225 int ldim_T = FLA_Obj_ldim( T ); 00226 00227 char trans = 'C'; 00228 int inc_one = 1; 00229 int inc_two = 2; 00230 int i; 00231 00232 for ( i = 0; i < n_AT; ++i ) 00233 { 00234 scomplex* a10t = buff_A + (0 )*ldim_A + i; 00235 scomplex* A20 = buff_A + (0 )*ldim_A + i + 1; 00236 scomplex* alpha11 = buff_A + (i )*ldim_A + i; 00237 scomplex* a21 = buff_A + (i )*ldim_A + i + 1; 00238 scomplex* a12t = buff_A + (i+1)*ldim_A + i; 00239 scomplex* A22 = buff_A + (i+1)*ldim_A + i + 1; 00240 00241 scomplex* tau11 = buff_T + (i )*ldim_T + i; 00242 scomplex* t01 = buff_T + (i )*ldim_T; 00243 00244 int m_ahead = m_A - i - 1; 00245 int n_ahead = n_AT - i - 1; 00246 int n_behind = i; 00247 00248 /*------------------------------------------------------------*/ 00249 00250 // FLA_Househ2_UT( alpha11, 00251 // a21, tau11 ); 00252 FLA_Househ2_UT_opt_scomplex( m_ahead, 00253 alpha11, 00254 a21, inc_one, 00255 tau11 ); 00256 00257 if ( i > 0 ) 00258 { 00259 // FLA_Copyt_external( FLA_CONJ_TRANSPOSE, a10t, t01 ); 00260 FLA_C2F( ccopy )( &n_behind, 00261 a10t, &ldim_A, 00262 t01, &inc_one ); 00263 FLA_C2F( sscal )( &n_behind, 00264 &(buff_m1->real), 00265 (( float* ) t01 ) + 1, &inc_two ); 00266 00267 // // t01 = a10t' + A20' * a21; 00268 // FLA_Gemv_external( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ONE, t01 ); 00269 FLA_C2F( cgemv )( &trans, 00270 &m_ahead, &n_behind, 00271 buff_1, 00272 A20, &ldim_A, 00273 a21, &inc_one, 00274 buff_1, 00275 t01, &inc_one ); 00276 } 00277 00278 if ( i < n_AT - 1 ) 00279 { 00280 // FLA_Apply_househ2_UT( tau11, a21, a12t, 00281 // A22 ); 00282 FLA_Apply_househ2_UT_opt_scomplex( m_ahead, n_ahead, 00283 tau11, 00284 a21, inc_one, 00285 a12t, ldim_A, 00286 A22, ldim_A ); 00287 } 00288 00289 /*------------------------------------------------------------*/ 00290 00291 } 00292 00293 return FLA_SUCCESS; 00294 }
References FLA_Apply_househ2_UT(), FLA_Cont_with_3x3_to_2x2(), FLA_Copyt_external(), FLA_Gemv_external(), FLA_Househ2_UT(), FLA_Obj_min_dim(), FLA_ONE, FLA_Part_2x2(), and FLA_Repart_2x2_to_3x3().
Referenced by FLA_QR_UT_internal().
00036 { 00037 FLA_Obj ATL, ATR, A00, a01, A02, 00038 ABL, ABR, a10t, alpha11, a12t, 00039 A20, a21, A22; 00040 00041 FLA_Obj TTL, TTR, T00, t01, T02, 00042 TBL, TBR, t10t, tau11, t12t, 00043 T20, t21, T22; 00044 00045 00046 FLA_Part_2x2( A, &ATL, &ATR, 00047 &ABL, &ABR, 0, 0, FLA_TL ); 00048 00049 FLA_Part_2x2( T, &TTL, &TTR, 00050 &TBL, &TBR, 0, 0, FLA_TL ); 00051 00052 while ( FLA_Obj_min_dim( ABR ) > 0 ){ 00053 00054 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00055 /* ************* */ /* ************************** */ 00056 &a10t, /**/ &alpha11, &a12t, 00057 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00058 1, 1, FLA_BR ); 00059 00060 FLA_Repart_2x2_to_3x3( TTL, /**/ TTR, &T00, /**/ &t01, &T02, 00061 /* ************* */ /* ************************ */ 00062 &t10t, /**/ &tau11, &t12t, 00063 TBL, /**/ TBR, &T20, /**/ &t21, &T22, 00064 1, 1, FLA_BR ); 00065 00066 /*------------------------------------------------------------*/ 00067 00068 // [ alpha11, ... 00069 // a21, tau11 ] = FLA_Househ2_UT( alpha11, ... 00070 // a21, tau11 ); 00071 FLA_Househ2_UT( alpha11, 00072 a21, tau11 ); 00073 00074 // t01 = a10t' + A20' * a21; 00075 FLA_Copyt_external( FLA_CONJ_TRANSPOSE, a10t, t01 ); 00076 FLA_Gemv_external( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ONE, t01 ); 00077 00078 // [ a12t, ... 00079 // A22 ] = FLA_Apply_househ2_UT( tau11, a21, a12t, ... 00080 // A22 ); 00081 FLA_Apply_househ2_UT( tau11, a21, a12t, 00082 A22 ); 00083 00084 /*------------------------------------------------------------*/ 00085 00086 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00087 a10t, alpha11, /**/ a12t, 00088 /* ************** */ /* ************************ */ 00089 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00090 FLA_TL ); 00091 00092 FLA_Cont_with_3x3_to_2x2( &TTL, /**/ &TTR, T00, t01, /**/ T02, 00093 t10t, tau11, /**/ t12t, 00094 /* ************** */ /* ********************** */ 00095 &TBL, /**/ &TBR, T20, t21, /**/ T22, 00096 FLA_TL ); 00097 00098 } 00099 00100 return FLA_SUCCESS; 00101 }
FLA_Error FLA_QR_UT_blk_var2 | ( | FLA_Obj | A, | |
FLA_Obj | T, | |||
fla_qrut_t * | cntl | |||
) |
References FLA_Axpy_external(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Determine_blocksize(), FLA_Gemm_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_min_dim(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_QR_UT_internal(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_external(), and FLA_Trsm_external().
Referenced by FLA_QR_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 TL, TR, T0, T1, W12; 00042 00043 FLA_Obj W12TL, W12TR, 00044 W12BL, W12BR; 00045 00046 FLA_Obj T1T, T2B, AB1; 00047 00048 dim_t b; 00049 00050 FLA_Part_2x2( A, &ATL, &ATR, 00051 &ABL, &ABR, 0, 0, FLA_TL ); 00052 00053 FLA_Part_1x2( T, &TL, &TR, 0, FLA_LEFT ); 00054 00055 while ( FLA_Obj_min_dim( ABR ) > 0 ){ 00056 00057 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00058 00059 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00060 /* ************* */ /* ******************** */ 00061 &A10, /**/ &A11, &A12, 00062 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00063 b, b, FLA_BR ); 00064 00065 FLA_Repart_1x2_to_1x3( TL, /**/ TR, &T0, /**/ &T1, &W12, 00066 b, FLA_RIGHT ); 00067 00068 /*------------------------------------------------------------*/ 00069 00070 /* 00071 T1T = FLA_Top_part( T1, b ); 00072 */ 00073 00074 FLA_Part_2x1( T1, &T1T, 00075 &T2B, b, FLA_TOP ); 00076 00077 /* 00078 [ U1, T1 ] = FLA_QR_UT_internal( [ A11 00079 A21 ], t1, T1T ); 00080 */ 00081 00082 FLA_Merge_2x1( A11, 00083 A21, &AB1 ); 00084 00085 FLA_QR_UT_internal( AB1, T1T, 00086 FLA_Cntl_sub_qrut( cntl ) ); 00087 00088 00089 if ( FLA_Obj_width( A12 ) > 0 ) 00090 { 00091 /* 00092 W12T = FLA_Top_part( W12, b ); 00093 W12TL = FLA_Left_part( W12T, FLA_Obj_width( A12 ) ); 00094 */ 00095 00096 FLA_Part_2x2( W12, &W12TL, &W12TR, 00097 &W12BL, &W12BR, b, FLA_Obj_width( A12 ), FLA_TL ); 00098 00099 /* 00100 U11 = trilu( A11 ); 00101 U21 = A21; 00102 00103 W12TL = triu( inv(T1T) )' * ( U11' * A12 + U21' * A22 ); 00104 */ 00105 00106 FLA_Copy_external( A12, W12TL ); 00107 FLA_Trmm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00108 FLA_CONJ_TRANSPOSE, FLA_UNIT_DIAG, 00109 FLA_ONE, A11, W12TL ); 00110 FLA_Gemm_external( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 00111 FLA_ONE, A21, A22, FLA_ONE, W12TL ); 00112 FLA_Trsm_external( FLA_LEFT, FLA_UPPER_TRIANGULAR, 00113 FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, 00114 FLA_ONE, T1T, W12TL ); 00115 00116 /* 00117 A22 = A22 - U21 * W12TL; 00118 A12 = A12 - U11 * W12TL; 00119 */ 00120 00121 FLA_Gemm_external( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00122 FLA_MINUS_ONE, A21, W12TL, FLA_ONE, A22 ); 00123 FLA_Trmm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00124 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00125 FLA_MINUS_ONE, A11, W12TL ); 00126 FLA_Axpy_external( FLA_ONE, W12TL, A12 ); 00127 } 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, /**/ W12, 00138 FLA_LEFT ); 00139 00140 } 00141 00142 return FLA_SUCCESS; 00143 }