1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
|
/* ---------------------------------------------------------------------
*
* -- PBLAS auxiliary routine (version 2.0) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* April 1, 1998
*
* ---------------------------------------------------------------------
*/
/*
* Include files
*/
#include "../pblas.h"
#include "../PBpblas.h"
#include "../PBtools.h"
#include "../PBblacs.h"
#include "../PBblas.h"
#ifdef __STDC__
void PB_Cpsyr2( PBTYP_T * TYPE, char * UPLO, int N, int K,
char * ALPHA, char * XC, int LDXC, char * XR, int LDXR,
char * YC, int LDYC, char * YR, int LDYR, char * A,
int IA, int JA, int * DESCA, TZSYR2_T SYR2 )
#else
void PB_Cpsyr2( TYPE, UPLO, N, K, ALPHA, XC, LDXC, XR, LDXR,
YC, LDYC, YR, LDYR, A, IA, JA, DESCA, SYR2 )
/*
* .. Scalar Arguments ..
*/
char * UPLO;
int IA, JA, K, LDXC, LDXR, LDYC, LDYR, N;
char * ALPHA;
PBTYP_T * TYPE;
TZSYR2_T SYR2;
/*
* .. Array Arguments ..
*/
int * DESCA;
char * A, * XC, * XR, * YC, * YR;
#endif
{
/*
* Purpose
* =======
*
* PB_Cpsyr2 performs a symmetric or Hermitian rank-2 update of the sub-
* matrix sub( A ) denoting A( IA:IA+N-1, JA:JA+N-1 ).
*
* Notes
* =====
*
* A description vector is associated with each 2D block-cyclicly dis-
* tributed matrix. This vector stores the information required to
* establish the mapping between a matrix entry and its corresponding
* process and memory location.
*
* In the following comments, the character _ should be read as
* "of the distributed matrix". Let A be a generic term for any 2D
* block cyclicly distributed matrix. Its description vector is DESC_A:
*
* NOTATION STORED IN EXPLANATION
* ---------------- --------------- ------------------------------------
* DTYPE_A (global) DESCA[ DTYPE_ ] The descriptor type.
* CTXT_A (global) DESCA[ CTXT_ ] The BLACS context handle, indicating
* the NPROW x NPCOL BLACS process grid
* A is distributed over. The context
* itself is global, but the handle
* (the integer value) may vary.
* M_A (global) DESCA[ M_ ] The number of rows in the distribu-
* ted matrix A, M_A >= 0.
* N_A (global) DESCA[ N_ ] The number of columns in the distri-
* buted matrix A, N_A >= 0.
* IMB_A (global) DESCA[ IMB_ ] The number of rows of the upper left
* block of the matrix A, IMB_A > 0.
* INB_A (global) DESCA[ INB_ ] The number of columns of the upper
* left block of the matrix A,
* INB_A > 0.
* MB_A (global) DESCA[ MB_ ] The blocking factor used to distri-
* bute the last M_A-IMB_A rows of A,
* MB_A > 0.
* NB_A (global) DESCA[ NB_ ] The blocking factor used to distri-
* bute the last N_A-INB_A columns of
* A, NB_A > 0.
* RSRC_A (global) DESCA[ RSRC_ ] The process row over which the first
* row of the matrix A is distributed,
* NPROW > RSRC_A >= 0.
* CSRC_A (global) DESCA[ CSRC_ ] The process column over which the
* first column of A is distributed.
* NPCOL > CSRC_A >= 0.
* LLD_A (local) DESCA[ LLD_ ] The leading dimension of the local
* array storing the local blocks of
* the distributed matrix A,
* IF( Lc( 1, N_A ) > 0 )
* LLD_A >= MAX( 1, Lr( 1, M_A ) )
* ELSE
* LLD_A >= 1.
*
* Let K be the number of rows of a matrix A starting at the global in-
* dex IA,i.e, A( IA:IA+K-1, : ). Lr( IA, K ) denotes the number of rows
* that the process of row coordinate MYROW ( 0 <= MYROW < NPROW ) would
* receive if these K rows were distributed over NPROW processes. If K
* is the number of columns of a matrix A starting at the global index
* JA, i.e, A( :, JA:JA+K-1, : ), Lc( JA, K ) denotes the number of co-
* lumns that the process MYCOL ( 0 <= MYCOL < NPCOL ) would receive if
* these K columns were distributed over NPCOL processes.
*
* The values of Lr() and Lc() may be determined via a call to the func-
* tion PB_Cnumroc:
* Lr( IA, K ) = PB_Cnumroc( K, IA, IMB_A, MB_A, MYROW, RSRC_A, NPROW )
* Lc( JA, K ) = PB_Cnumroc( K, JA, INB_A, NB_A, MYCOL, CSRC_A, NPCOL )
*
* Arguments
* =========
*
* TYPE (local input) pointer to a PBTYP_T structure
* On entry, TYPE is a pointer to a structure of type PBTYP_T,
* that contains type information (See pblas.h).
*
* UPLO (global input) pointer to CHAR
* On entry, UPLO specifies whether the local pieces of
* the array A containing the upper or lower triangular part
* of the symmetric or Hermitian submatrix sub( A ) are to be
* referenced as follows:
*
* UPLO = 'U' or 'u' Only the local pieces corresponding to
* the upper triangular part of the sym-
* metric or Hermitian submatrix sub( A )
* are to be referenced,
*
* UPLO = 'L' or 'l' Only the local pieces corresponding to
* the lower triangular part of the sym-
* metric or Hermitian submatrix sub( A )
* are to be referenced.
*
* N (global input) INTEGER
* On entry, N specifies the order of the submatrix sub( A ).
* N must be at least zero.
*
* K (global input) INTEGER
* On entry, K specifies the local number of columns of the lo-
* cal array XC and the local number of rows of the local array
* XR. K mut be at least zero.
*
* ALPHA (global input) pointer to CHAR
* On entry, ALPHA specifies the scalar alpha.
*
* XC (local input) pointer to CHAR
* On entry, XC is an array of dimension (LDXC,K). Before entry,
* this array contains the local entries of the matrix XC.
*
* LDXC (local input) INTEGER
* On entry, LDXC specifies the leading dimension of the array
* XC. LDXC must be at least max( 1, Lp( IA, N ) ).
*
* YC (local input) pointer to CHAR
* On entry, YC is an array of dimension (LDYC,K). Before entry,
* this array contains the local entries of the matrix YC.
*
* LDYC (local input) INTEGER
* On entry, LDYC specifies the leading dimension of the array
* YC. LDYC must be at least max( 1, Lp( IA, N ) ).
*
* XR (local input) pointer to CHAR
* On entry, XR is an array of dimension (LDXR,Kx), where Kx is
* at least Lc( JA, N ). Before entry, this array contains the
* local entries of the matrix XR.
*
* LDXR (local input) INTEGER
* On entry, LDXR specifies the leading dimension of the array
* XR. LDXR must be at least max( 1, K ).
*
* YR (local input) pointer to CHAR
* On entry, YR is an array of dimension (LDYR,Ky), where Ky is
* at least Lc( JA, N ). Before entry, this array contains the
* local entries of the matrix YR.
*
* LDYR (local input) INTEGER
* On entry, LDYR specifies the leading dimension of the array
* YR. LDYR must be at least max( 1, K ).
*
* A (local input/local output) pointer to CHAR
* On entry, A is an array of dimension (LLD_A, Ka), where Ka is
* at least Lc( 1, JA+N-1 ). Before entry, this array contains
* the local entries of the matrix A.
* Before entry with UPLO = 'U' or 'u', this array contains
* the local entries corresponding to the upper triangular part
* of the @(syhec) submatrix sub( A ), and the local entries
* corresponding to the strictly lower triangular of sub( A )
* are not referenced. On exit, the upper triangular part of
* sub( A ) is overwritten by the upper triangular part of the
* updated submatrix.
* Before entry with UPLO = 'L' or 'l', this array contains
* the local entries corresponding to the lower triangular part
* of the @(syhec) submatrix sub( A ), and the local entries
* corresponding to the strictly upper triangular of sub( A )
* are not referenced. On exit, the lower triangular part of
* sub( A ) is overwritten by the lower triangular part of the
* updated submatrix.
*
* IA (global input) INTEGER
* On entry, IA specifies A's global row index, which points to
* the beginning of the submatrix sub( A ).
*
* JA (global input) INTEGER
* On entry, JA specifies A's global column index, which points
* to the beginning of the submatrix sub( A ).
*
* DESCA (global and local input) INTEGER array
* On entry, DESCA is an integer array of dimension DLEN_. This
* is the array descriptor for the matrix A.
*
* SYR2 (local input) pointer to function of type TZSYR2_T
* On entry, SYR2 specifies the function performing the update
* of a single block.
*
* -- Written on April 1, 1998 by
* Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Scalars ..
*/
int Acol, Arow, Aii, Aimb1, Ainb1, Ajj, Ald, Amp, Amb, Anb, Anq,
Aoffi, Aoffj, Arcol, Arrow, GoEast, GoSouth, IsColRepl,
IsRowRepl, XCinc, XRinc, Xii=0, Xjj=0, Xoffi=-1, Xoffj=-1,
YCinc, YRinc, iimax, ilow, imbloc, inbloc, ioffd, ioffx, iupp,
jjmax, joffd, joffx, lcmt, lcmt00, lmbloc, lnbloc, low, lower,
m1, mbloc, mblkd, mblks, mycol, myrow, n1, nbloc, nblkd,
nblks, npcol, nprow, pmb, qnb, size, tmp1, upp, upper;
/* ..
* .. Executable Statements ..
*
*/
/*
* Quick return if possible
*/
if( N <= 0 ) return;
/*
* Retrieve process grid information
*/
Cblacs_gridinfo( DESCA[CTXT_], &nprow, &npcol, &myrow, &mycol );
/*
* Retrieve sub( A )'s local information: Aii, Ajj, Arow, Acol ...
*/
PB_Cainfog2l( N, N, IA, JA, DESCA, nprow, npcol, myrow, mycol, &Aimb1,
&Ainb1, &Amp, &Anq, &Aii, &Ajj, &Arow, &Acol, &Arrow, &Arcol );
/*
* Quick return if I don't own any of sub( A ) or if sub( A ) is replicated in
* all processes.
*/
if( ( Amp <= 0 ) || ( Anq <= 0 ) ) return;
IsRowRepl = ( ( Arow < 0 ) || ( nprow == 1 ) );
IsColRepl = ( ( Acol < 0 ) || ( npcol == 1 ) );
Amb = DESCA[ MB_ ]; Anb = DESCA[ NB_ ]; Ald = DESCA[LLD_];
size = TYPE->size;
if( IsRowRepl && IsColRepl )
{
SYR2( TYPE, UPLO, Amp, Anq, K, 0, ALPHA, XC, LDXC, YC, LDYC, XR, LDXR,
YR, LDYR, Mptr( A, Aii, Ajj, Ald, size ), Ald );
return;
}
XCinc = size; XRinc = LDXR * size;
YCinc = size; YRinc = LDYR * size;
upper = ( Mupcase( UPLO[0] ) == CUPPER );
lower = ( Mupcase( UPLO[0] ) == CLOWER );
/*
* Initialize lcmt00, mblks, nblks, imbloc, inbloc, lmbloc, lnbloc, ilow, low,
* iupp, and upp.
*/
PB_Cbinfo( 0, Amp, Anq, Aimb1, Ainb1, Amb, Anb, Arrow, Arcol, &lcmt00,
&mblks, &nblks, &imbloc, &inbloc, &lmbloc, &lnbloc, &ilow, &low,
&iupp, &upp );
iimax = ( Aoffi = Aii - 1 ) + ( m1 = Amp );
jjmax = ( Aoffj = Ajj - 1 ) + ( n1 = Anq );
pmb = ( IsRowRepl ? Amb : nprow * Amb );
qnb = ( IsColRepl ? Anb : npcol * Anb );
/*
* Handle separately the first row and/or column of the LCM table. Update the
* LCM value of the curent block lcmt00, as well as the number of rows and
* columns mblks and nblks remaining in the LCM table.
*/
GoSouth = ( lcmt00 > iupp );
GoEast = ( lcmt00 < ilow );
/*
* Go through the table looking for blocks owning diagonal entries.
*/
if( ( !( GoSouth ) ) && ( !( GoEast ) ) )
{
/*
* The upper left block owns diagonal entries lcmt00 >= ilow && lcmt00 <= iupp
*/
SYR2( TYPE, UPLO, imbloc, inbloc, K, lcmt00, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+Xjj*XRinc, LDXR, YR+Xjj*YRinc, LDYR,
Mptr( A, Aii, Ajj, Ald, size ), Ald );
/*
* Decide whether one should go south or east in the table: Go east if
* the block below the current one only owns lower entries. If this block,
* however, owns diagonals, then go south.
*/
GoSouth = !( GoEast = ( ( lcmt00 - ( iupp - upp + pmb ) ) < ilow ) );
if( GoSouth )
{
/*
* When the upper triangular part of sub( A ) should be updated and one is
* planning to go south in the table, it is neccessary to take care of the
* remaining columns of these imbloc rows immediately.
*/
if( upper && ( Anq > inbloc ) )
{
tmp1 = Anq - inbloc;
SYR2( TYPE, ALL, imbloc, tmp1, K, 0, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+(Xjj+inbloc)*XRinc, LDXR, YR+(Xjj+inbloc)*YRinc, LDYR,
Mptr( A, Aii, Ajj+inbloc, Ald, size ), Ald );
}
Aii += imbloc; Xii += imbloc; m1 -= imbloc;
}
else
{
/*
* When the lower triangular part of sub( A ) should be updated and one is
* planning to go east in the table, it is neccessary to take care of the
* remaining rows of these inbloc columns immediately.
*/
if( lower && ( Amp > imbloc ) )
{
tmp1 = Amp - imbloc;
SYR2( TYPE, ALL, tmp1, inbloc, K, 0, ALPHA,
XC+(Xii+imbloc)*XCinc, LDXC, YC+(Xii+imbloc)*YCinc, LDYC,
XR+Xjj*XRinc, LDXR, YR+Xjj*YRinc, LDYR,
Mptr( A, Aii+imbloc, Ajj, Ald, size ), Ald );
}
Ajj += inbloc; Xjj += inbloc; n1 -= inbloc;
}
}
if( GoSouth )
{
/*
* Go one step south in the LCM table. Adjust the current LCM value as well as
* the local row indexes in A and XC.
*/
lcmt00 -= ( iupp - upp + pmb ); mblks--; Aoffi += imbloc; Xoffi += imbloc;
/*
* While there are blocks remaining that own upper entries, keep going south.
* Adjust the current LCM value as well as the local row indexes in A and XC.
*/
while( ( mblks > 0 ) && ( lcmt00 > upp ) )
{ lcmt00 -= pmb; mblks--; Aoffi += Amb; Xoffi += Amb; }
/*
* Update the upper triangular part of sub( A ) we just skipped when necessary.
*/
tmp1 = MIN( Aoffi, iimax ) - Aii + 1;
if( upper && ( tmp1 > 0 ) )
{
SYR2( TYPE, ALL, tmp1, n1, K, 0, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, Aii, Aoffj+1, Ald, size ), Ald );
Aii += tmp1; Xii += tmp1; m1 -= tmp1;
}
/*
* Return if no more row in the LCM table.
*/
if( mblks <= 0 ) return;
/*
* lcmt00 <= upp. The current block owns either diagonals or lower entries.
* Save the current position in the LCM table. After this column has been
* completely taken care of, re-start from this row and the next column of
* the LCM table.
*/
lcmt = lcmt00; mblkd = mblks; ioffd = Aoffi; ioffx = Xoffi;
mbloc = Amb;
while( ( mblkd > 0 ) && ( lcmt >= ilow ) )
{
/*
* A block owning diagonals lcmt00 >= ilow && lcmt00 <= upp has been found.
*/
if( mblkd == 1 ) mbloc = lmbloc;
SYR2( TYPE, UPLO, mbloc, inbloc, K, lcmt, ALPHA,
XC+(ioffx+1)*XCinc, LDXC, YC+(ioffx+1)*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, ioffd+1, Aoffj+1, Ald, size ), Ald );
lcmt00 = lcmt; lcmt -= pmb;
mblks = mblkd; mblkd--;
Aoffi = ioffd; ioffd += mbloc;
Xoffi = ioffx; ioffx += mbloc;
}
/*
* Update the lower triangular part of sub( A ).
*/
tmp1 = m1 - ioffd + Aii - 1;
if( lower && ( tmp1 > 0 ) )
SYR2( TYPE, ALL, tmp1, inbloc, K, 0, ALPHA,
XC+(ioffx+1)*XCinc, LDXC, YC+(ioffx+1)*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, ioffd+1, Aoffj+1, Ald, size ), Ald );
tmp1 = Aoffi - Aii + 1;
m1 -= tmp1;
n1 -= inbloc;
lcmt00 += low - ilow + qnb;
nblks--;
Aoffj += inbloc;
Xoffj += inbloc;
/*
* Update the upper triangular part of sub( A ).
*/
if( upper && ( tmp1 > 0 ) && ( n1 > 0 ) )
SYR2( TYPE, ALL, tmp1, n1, K, 0, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, Aii, Aoffj+1, Ald, size ), Ald );
Aii = Aoffi + 1; Ajj = Aoffj + 1;
Xii = Xoffi + 1; Xjj = Xoffj + 1;
}
else if( GoEast )
{
/*
* Go one step east in the LCM table. Adjust the current LCM value as well as
* the local column index in A and XR.
*/
lcmt00 += low - ilow + qnb; nblks--; Aoffj += inbloc; Xoffj += inbloc;
/*
* While there are blocks remaining that own lower entries, keep going east.
* Adjust the current LCM value as well as the local column index in A and XR.
*/
while( ( nblks > 0 ) && ( lcmt00 < low ) )
{ lcmt00 += qnb; nblks--; Aoffj += Anb; Xoffj += Anb; }
/*
* Update the lower triangular part of sub( A ).
*/
tmp1 = MIN( Aoffj, jjmax ) - Ajj + 1;
if( lower && ( tmp1 > 0 ) )
{
SYR2( TYPE, ALL, m1, tmp1, K, 0, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+Xjj*XRinc, LDXR, YR+Xjj*YRinc, LDYR,
Mptr( A, Aii, Ajj, Ald, size ), Ald );
Ajj += tmp1; Xjj += tmp1; n1 -= tmp1;
}
/*
* Return if no more column in the LCM table.
*/
if( nblks <= 0 ) return;
/*
* lcmt00 >= low. The current block owns either diagonals or upper entries.
* Save the current position in the LCM table. After this row has been
* completely taken care of, re-start from this column and the next row of
* the LCM table.
*/
lcmt = lcmt00; nblkd = nblks; joffd = Aoffj; joffx = Xoffj;
nbloc = Anb;
while( ( nblkd > 0 ) && ( lcmt <= iupp ) )
{
/*
* A block owning diagonals lcmt00 >= low && lcmt00 <= iupp has been found.
*/
if( nblkd == 1 ) nbloc = lnbloc;
SYR2( TYPE, UPLO, imbloc, nbloc, K, lcmt, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+(joffx+1)*XRinc, LDXR, YR+(joffx+1)*YRinc, LDYR,
Mptr( A, Aii, joffd+1, Ald, size ), Ald );
lcmt00 = lcmt; lcmt += qnb;
nblks = nblkd; nblkd--;
Aoffj = joffd; joffd += nbloc;
Xoffj = joffx; joffx += nbloc;
}
/*
* Update the upper triangular part of sub( A ).
*/
tmp1 = n1 - joffd + Ajj - 1;
if( upper && ( tmp1 > 0 ) )
SYR2( TYPE, ALL, imbloc, tmp1, K, 0, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+(joffx+1)*XRinc, LDXR, YR+(joffx+1)*YRinc, LDYR,
Mptr( A, Aii, joffd+1, Ald, size ), Ald );
tmp1 = Aoffj - Ajj + 1;
m1 -= imbloc;
n1 -= tmp1;
lcmt00 -= ( iupp - upp + pmb );
mblks--;
Aoffi += imbloc;
Xoffi += imbloc;
/*
* Update the lower triangular part of sub( A ).
*/
if( lower && ( m1 > 0 ) && ( tmp1 > 0 ) )
SYR2( TYPE, ALL, m1, tmp1, K, 0, ALPHA,
XC+(Xoffi+1)*XCinc, LDXC, YC+(Xoffi+1)*YCinc, LDYC,
XR+Xjj*XRinc, LDXR, YR+Xjj*YRinc, LDYR,
Mptr( A, Aoffi+1, Ajj, Ald, size ), Ald );
Aii = Aoffi + 1; Ajj = Aoffj + 1;
Xii = Xoffi + 1; Xjj = Xoffj + 1;
}
/*
* Loop over the remaining columns of the LCM table.
*/
nbloc = Anb;
while( nblks > 0 )
{
if( nblks == 1 ) nbloc = lnbloc;
/*
* While there are blocks remaining that own upper entries, keep going south.
* Adjust the current LCM value as well as the local row index in A and XC.
*/
while( ( mblks > 0 ) && ( lcmt00 > upp ) )
{ lcmt00 -= pmb; mblks--; Aoffi += Amb; Xoffi += Amb; }
/*
* Update the upper triangular part of sub( A ).
*/
tmp1 = MIN( Aoffi, iimax ) - Aii + 1;
if( upper && ( tmp1 > 0 ) )
{
SYR2( TYPE, ALL, tmp1, n1, K, 0, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, Aii, Aoffj+1, Ald, size ), Ald );
Aii += tmp1;
Xii += tmp1;
m1 -= tmp1;
}
/*
* Return if no more row in the LCM table.
*/
if( mblks <= 0 ) return;
/*
* lcmt00 <= upp. The current block owns either diagonals or lower entries.
* Save the current position in the LCM table. After this column has been
* completely taken care of, re-start from this row and the next column of
* the LCM table.
*/
lcmt = lcmt00; mblkd = mblks; ioffd = Aoffi; ioffx = Xoffi;
mbloc = Amb;
while( ( mblkd > 0 ) && ( lcmt >= low ) )
{
/*
* A block owning diagonals lcmt00 >= low && lcmt00 <= upp has been found.
*/
if( mblkd == 1 ) mbloc = lmbloc;
SYR2( TYPE, UPLO, mbloc, nbloc, K, lcmt, ALPHA,
XC+(ioffx+1)*XCinc, LDXC, YC+(ioffx+1)*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, ioffd+1, Aoffj+1, Ald, size ), Ald );
lcmt00 = lcmt; lcmt -= pmb;
mblks = mblkd; mblkd--;
Aoffi = ioffd; Xoffi = ioffx;
ioffd += mbloc; ioffx += mbloc;
}
/*
* Update the lower triangular part of sub( A ).
*/
tmp1 = m1 - ioffd + Aii - 1;
if( lower && ( tmp1 > 0 ) )
SYR2( TYPE, ALL, tmp1, nbloc, K, 0, ALPHA,
XC+(ioffx+1)*XCinc, LDXC, YC+(ioffx+1)*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, ioffd+1, Aoffj+1, Ald, size ), Ald );
tmp1 = MIN( Aoffi, iimax ) - Aii + 1;
m1 -= tmp1;
n1 -= nbloc;
lcmt00 += qnb;
nblks--;
Aoffj += nbloc;
Xoffj += nbloc;
/*
* Update the upper triangular part of sub( A ).
*/
if( upper && ( tmp1 > 0 ) && ( n1 > 0 ) )
SYR2( TYPE, ALL, tmp1, n1, K, 0, ALPHA,
XC+Xii*XCinc, LDXC, YC+Xii*YCinc, LDYC,
XR+(Xoffj+1)*XRinc, LDXR, YR+(Xoffj+1)*YRinc, LDYR,
Mptr( A, Aii, Aoffj+1, Ald, size ), Ald );
Aii = Aoffi + 1; Ajj = Aoffj + 1;
Xii = Xoffi + 1; Xjj = Xoffj + 1;
}
/*
* End of PB_Cpsyr2
*/
}
|