Actual source code: vinv.c

  1: /*
  2:      Some useful vector utility functions.
  3: */
  4: #include <../src/vec/vec/impls/mpi/pvecimpl.h>

  6: /*@
  7:   VecStrideSet - Sets a subvector of a vector defined
  8:   by a starting point and a stride with a given value

 10:   Logically Collective

 12:   Input Parameters:
 13: + v     - the vector
 14: . start - starting point of the subvector (defined by a stride)
 15: - s     - value to set for each entry in that subvector

 17:   Level: advanced

 19:   Notes:
 20:   One must call `VecSetBlockSize()` before this routine to set the stride
 21:   information, or use a vector created from a multicomponent `DMDA`.

 23:   This will only work if the desire subvector is a stride subvector

 25: .seealso: `Vec`, `VecNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`, `VecStrideScale()`
 26: @*/
 27: PetscErrorCode VecStrideSet(Vec v, PetscInt start, PetscScalar s)
 28: {
 29:   PetscInt     i, n, bs;
 30:   PetscScalar *x;

 32:   PetscFunctionBegin;
 35:   PetscCall(VecGetLocalSize(v, &n));
 36:   PetscCall(VecGetBlockSize(v, &bs));
 37:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
 38:   PetscCheck(start < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start, bs);
 39:   PetscCall(VecGetArray(v, &x));
 40:   for (i = start; i < n; i += bs) x[i] = s;
 41:   PetscCall(VecRestoreArray(v, &x));
 42:   PetscFunctionReturn(PETSC_SUCCESS);
 43: }

 45: /*@
 46:   VecStrideScale - Scales a subvector of a vector defined
 47:   by a starting point and a stride.

 49:   Logically Collective

 51:   Input Parameters:
 52: + v     - the vector
 53: . start - starting point of the subvector (defined by a stride)
 54: - scale - value to multiply each subvector entry by

 56:   Level: advanced

 58:   Notes:
 59:   One must call `VecSetBlockSize()` before this routine to set the stride
 60:   information, or use a vector created from a multicomponent `DMDA`.

 62:   This will only work if the desire subvector is a stride subvector

 64: .seealso: `Vec`, `VecNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`
 65: @*/
 66: PetscErrorCode VecStrideScale(Vec v, PetscInt start, PetscScalar scale)
 67: {
 68:   PetscInt     i, n, bs;
 69:   PetscScalar *x;

 71:   PetscFunctionBegin;
 75:   PetscCall(VecGetLocalSize(v, &n));
 76:   PetscCall(VecGetBlockSize(v, &bs));
 77:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
 78:   PetscCheck(start < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start, bs);
 79:   PetscCall(VecGetArray(v, &x));
 80:   for (i = start; i < n; i += bs) x[i] *= scale;
 81:   PetscCall(VecRestoreArray(v, &x));
 82:   PetscFunctionReturn(PETSC_SUCCESS);
 83: }

 85: /*@
 86:   VecStrideNorm - Computes the norm of subvector of a vector defined
 87:   by a starting point and a stride.

 89:   Collective

 91:   Input Parameters:
 92: + v     - the vector
 93: . start - starting point of the subvector (defined by a stride)
 94: - ntype - type of norm, one of `NORM_1`, `NORM_2`, `NORM_INFINITY`

 96:   Output Parameter:
 97: . nrm - the norm

 99:   Level: advanced

101:   Notes:
102:   One must call `VecSetBlockSize()` before this routine to set the stride
103:   information, or use a vector created from a multicomponent `DMDA`.

105:   If x is the array representing the vector x then this computes the norm
106:   of the array (x[start],x[start+stride],x[start+2*stride], ....)

108:   This is useful for computing, say the norm of the pressure variable when
109:   the pressure is stored (interlaced) with other variables, say density etc.

111:   This will only work if the desire subvector is a stride subvector

113: .seealso: `Vec`, `VecNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`
114: @*/
115: PetscErrorCode VecStrideNorm(Vec v, PetscInt start, NormType ntype, PetscReal *nrm)
116: {
117:   PetscInt           i, n, bs;
118:   const PetscScalar *x;
119:   PetscReal          tnorm;

121:   PetscFunctionBegin;
125:   PetscAssertPointer(nrm, 4);
126:   PetscCall(VecGetLocalSize(v, &n));
127:   PetscCall(VecGetBlockSize(v, &bs));
128:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
129:   PetscCheck(start < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start, bs);
130:   PetscCall(VecGetArrayRead(v, &x));
131:   if (ntype == NORM_2) {
132:     PetscScalar sum = 0.0;
133:     for (i = start; i < n; i += bs) sum += x[i] * (PetscConj(x[i]));
134:     tnorm = PetscRealPart(sum);
135:     PetscCallMPI(MPIU_Allreduce(&tnorm, nrm, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)v)));
136:     *nrm = PetscSqrtReal(*nrm);
137:   } else if (ntype == NORM_1) {
138:     tnorm = 0.0;
139:     for (i = start; i < n; i += bs) tnorm += PetscAbsScalar(x[i]);
140:     PetscCallMPI(MPIU_Allreduce(&tnorm, nrm, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)v)));
141:   } else if (ntype == NORM_INFINITY) {
142:     tnorm = 0.0;
143:     for (i = start; i < n; i += bs) {
144:       if (PetscAbsScalar(x[i]) > tnorm) tnorm = PetscAbsScalar(x[i]);
145:     }
146:     PetscCallMPI(MPIU_Allreduce(&tnorm, nrm, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)v)));
147:   } else SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");
148:   PetscCall(VecRestoreArrayRead(v, &x));
149:   PetscFunctionReturn(PETSC_SUCCESS);
150: }

152: /*@
153:   VecStrideMax - Computes the maximum of subvector of a vector defined
154:   by a starting point and a stride and optionally its location.

156:   Collective

158:   Input Parameters:
159: + v     - the vector
160: - start - starting point of the subvector (defined by a stride)

162:   Output Parameters:
163: + idex - the location where the maximum occurred  (pass `NULL` if not required)
164: - nrm  - the maximum value in the subvector

166:   Level: advanced

168:   Notes:
169:   One must call `VecSetBlockSize()` before this routine to set the stride
170:   information, or use a vector created from a multicomponent `DMDA`.

172:   If xa is the array representing the vector x, then this computes the max
173:   of the array (xa[start],xa[start+stride],xa[start+2*stride], ....)

175:   This is useful for computing, say the maximum of the pressure variable when
176:   the pressure is stored (interlaced) with other variables, e.g., density, etc.
177:   This will only work if the desire subvector is a stride subvector.

179: .seealso: `Vec`, `VecMax()`, `VecStrideNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`
180: @*/
181: PetscErrorCode VecStrideMax(Vec v, PetscInt start, PetscInt *idex, PetscReal *nrm)
182: {
183:   PetscInt           i, n, bs, id = -1;
184:   const PetscScalar *x;
185:   PetscReal          max = PETSC_MIN_REAL;

187:   PetscFunctionBegin;
190:   PetscAssertPointer(nrm, 4);
191:   PetscCall(VecGetLocalSize(v, &n));
192:   PetscCall(VecGetBlockSize(v, &bs));
193:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
194:   PetscCheck(start < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start, bs);
195:   PetscCall(VecGetArrayRead(v, &x));
196:   for (i = start; i < n; i += bs) {
197:     if (PetscRealPart(x[i]) > max) {
198:       max = PetscRealPart(x[i]);
199:       id  = i;
200:     }
201:   }
202:   PetscCall(VecRestoreArrayRead(v, &x));
203: #if defined(PETSC_HAVE_MPIUNI)
204:   *nrm = max;
205:   if (idex) *idex = id;
206: #else
207:   if (!idex) {
208:     PetscCallMPI(MPIU_Allreduce(&max, nrm, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)v)));
209:   } else {
210:     struct {
211:       PetscReal v;
212:       PetscInt  i;
213:     } in, out;
214:     PetscInt rstart;

216:     PetscCall(VecGetOwnershipRange(v, &rstart, NULL));
217:     in.v = max;
218:     in.i = rstart + id;
219:     PetscCallMPI(MPIU_Allreduce(&in, &out, 1, MPIU_REAL_INT, MPIU_MAXLOC, PetscObjectComm((PetscObject)v)));
220:     *nrm  = out.v;
221:     *idex = out.i;
222:   }
223: #endif
224:   PetscFunctionReturn(PETSC_SUCCESS);
225: }

227: /*@
228:   VecStrideMin - Computes the minimum of subvector of a vector defined
229:   by a starting point and a stride and optionally its location.

231:   Collective

233:   Input Parameters:
234: + v     - the vector
235: - start - starting point of the subvector (defined by a stride)

237:   Output Parameters:
238: + idex - the location where the minimum occurred. (pass `NULL` if not required)
239: - nrm  - the minimum value in the subvector

241:   Level: advanced

243:   Notes:
244:   One must call `VecSetBlockSize()` before this routine to set the stride
245:   information, or use a vector created from a multicomponent `DMDA`.

247:   If xa is the array representing the vector x, then this computes the min
248:   of the array (xa[start],xa[start+stride],xa[start+2*stride], ....)

250:   This is useful for computing, say the minimum of the pressure variable when
251:   the pressure is stored (interlaced) with other variables, e.g., density, etc.
252:   This will only work if the desire subvector is a stride subvector.

254: .seealso: `Vec`, `VecMin()`, `VecStrideNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMax()`
255: @*/
256: PetscErrorCode VecStrideMin(Vec v, PetscInt start, PetscInt *idex, PetscReal *nrm)
257: {
258:   PetscInt           i, n, bs, id = -1;
259:   const PetscScalar *x;
260:   PetscReal          min = PETSC_MAX_REAL;

262:   PetscFunctionBegin;
265:   PetscAssertPointer(nrm, 4);
266:   PetscCall(VecGetLocalSize(v, &n));
267:   PetscCall(VecGetBlockSize(v, &bs));
268:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
269:   PetscCheck(start < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start, bs);
270:   PetscCall(VecGetArrayRead(v, &x));
271:   for (i = start; i < n; i += bs) {
272:     if (PetscRealPart(x[i]) < min) {
273:       min = PetscRealPart(x[i]);
274:       id  = i;
275:     }
276:   }
277:   PetscCall(VecRestoreArrayRead(v, &x));
278: #if defined(PETSC_HAVE_MPIUNI)
279:   *nrm = min;
280:   if (idex) *idex = id;
281: #else
282:   if (!idex) {
283:     PetscCallMPI(MPIU_Allreduce(&min, nrm, 1, MPIU_REAL, MPIU_MIN, PetscObjectComm((PetscObject)v)));
284:   } else {
285:     struct {
286:       PetscReal v;
287:       PetscInt  i;
288:     } in, out;
289:     PetscInt rstart;

291:     PetscCall(VecGetOwnershipRange(v, &rstart, NULL));
292:     in.v = min;
293:     in.i = rstart + id;
294:     PetscCallMPI(MPIU_Allreduce(&in, &out, 1, MPIU_REAL_INT, MPIU_MINLOC, PetscObjectComm((PetscObject)v)));
295:     *nrm  = out.v;
296:     *idex = out.i;
297:   }
298: #endif
299:   PetscFunctionReturn(PETSC_SUCCESS);
300: }

302: /*@
303:   VecStrideSum - Computes the sum of subvector of a vector defined
304:   by a starting point and a stride.

306:   Collective

308:   Input Parameters:
309: + v     - the vector
310: - start - starting point of the subvector (defined by a stride)

312:   Output Parameter:
313: . sum - the sum

315:   Level: advanced

317:   Notes:
318:   One must call `VecSetBlockSize()` before this routine to set the stride
319:   information, or use a vector created from a multicomponent `DMDA`.

321:   If x is the array representing the vector x then this computes the sum
322:   of the array (x[start],x[start+stride],x[start+2*stride], ....)

324: .seealso: `Vec`, `VecSum()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`
325: @*/
326: PetscErrorCode VecStrideSum(Vec v, PetscInt start, PetscScalar *sum)
327: {
328:   PetscInt           i, n, bs;
329:   const PetscScalar *x;
330:   PetscScalar        local_sum = 0.0;

332:   PetscFunctionBegin;
335:   PetscAssertPointer(sum, 3);
336:   PetscCall(VecGetLocalSize(v, &n));
337:   PetscCall(VecGetBlockSize(v, &bs));
338:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
339:   PetscCheck(start < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start, bs);
340:   PetscCall(VecGetArrayRead(v, &x));
341:   for (i = start; i < n; i += bs) local_sum += x[i];
342:   PetscCallMPI(MPIU_Allreduce(&local_sum, sum, 1, MPIU_SCALAR, MPIU_SUM, PetscObjectComm((PetscObject)v)));
343:   PetscCall(VecRestoreArrayRead(v, &x));
344:   PetscFunctionReturn(PETSC_SUCCESS);
345: }

347: /*@
348:   VecStrideScaleAll - Scales the subvectors of a vector defined
349:   by a starting point and a stride.

351:   Logically Collective

353:   Input Parameters:
354: + v      - the vector
355: - scales - values to multiply each subvector entry by

357:   Level: advanced

359:   Notes:
360:   One must call `VecSetBlockSize()` before this routine to set the stride
361:   information, or use a vector created from a multicomponent `DMDA`.

363:   The dimension of scales must be the same as the vector block size

365: .seealso: `Vec`, `VecNorm()`, `VecStrideScale()`, `VecScale()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`
366: @*/
367: PetscErrorCode VecStrideScaleAll(Vec v, const PetscScalar *scales)
368: {
369:   PetscInt     i, j, n, bs;
370:   PetscScalar *x;

372:   PetscFunctionBegin;
374:   PetscAssertPointer(scales, 2);
375:   PetscCall(VecGetLocalSize(v, &n));
376:   PetscCall(VecGetBlockSize(v, &bs));
377:   PetscCall(VecGetArray(v, &x));
378:   /* need to provide optimized code for each bs */
379:   for (i = 0; i < n; i += bs) {
380:     for (j = 0; j < bs; j++) x[i + j] *= scales[j];
381:   }
382:   PetscCall(VecRestoreArray(v, &x));
383:   PetscFunctionReturn(PETSC_SUCCESS);
384: }

386: /*@
387:   VecStrideNormAll - Computes the norms of subvectors of a vector defined
388:   by a starting point and a stride.

390:   Collective

392:   Input Parameters:
393: + v     - the vector
394: - ntype - type of norm, one of `NORM_1`, `NORM_2`, `NORM_INFINITY`

396:   Output Parameter:
397: . nrm - the norms

399:   Level: advanced

401:   Notes:
402:   One must call `VecSetBlockSize()` before this routine to set the stride
403:   information, or use a vector created from a multicomponent `DMDA`.

405:   If x is the array representing the vector x then this computes the norm
406:   of the array (x[start],x[start+stride],x[start+2*stride], ....) for each start < stride

408:   The dimension of nrm must be the same as the vector block size

410:   This will only work if the desire subvector is a stride subvector

412: .seealso: `Vec`, `VecNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`
413: @*/
414: PetscErrorCode VecStrideNormAll(Vec v, NormType ntype, PetscReal nrm[])
415: {
416:   PetscInt           i, j, n, bs;
417:   const PetscScalar *x;
418:   PetscReal          tnorm[128];
419:   MPI_Comm           comm;
420:   PetscMPIInt        ibs;

422:   PetscFunctionBegin;
425:   PetscAssertPointer(nrm, 3);
426:   PetscCall(VecGetLocalSize(v, &n));
427:   PetscCall(VecGetArrayRead(v, &x));
428:   PetscCall(PetscObjectGetComm((PetscObject)v, &comm));

430:   PetscCall(VecGetBlockSize(v, &bs));
431:   PetscCheck(bs <= 128, comm, PETSC_ERR_SUP, "Currently supports only blocksize up to 128");
432:   PetscCall(PetscMPIIntCast(bs, &ibs));
433:   if (ntype == NORM_2) {
434:     PetscScalar sum[128];
435:     for (j = 0; j < bs; j++) sum[j] = 0.0;
436:     for (i = 0; i < n; i += bs) {
437:       for (j = 0; j < bs; j++) sum[j] += x[i + j] * (PetscConj(x[i + j]));
438:     }
439:     for (j = 0; j < bs; j++) tnorm[j] = PetscRealPart(sum[j]);

441:     PetscCallMPI(MPIU_Allreduce(tnorm, nrm, ibs, MPIU_REAL, MPIU_SUM, comm));
442:     for (j = 0; j < bs; j++) nrm[j] = PetscSqrtReal(nrm[j]);
443:   } else if (ntype == NORM_1) {
444:     for (j = 0; j < bs; j++) tnorm[j] = 0.0;

446:     for (i = 0; i < n; i += bs) {
447:       for (j = 0; j < bs; j++) tnorm[j] += PetscAbsScalar(x[i + j]);
448:     }

450:     PetscCallMPI(MPIU_Allreduce(tnorm, nrm, ibs, MPIU_REAL, MPIU_SUM, comm));
451:   } else if (ntype == NORM_INFINITY) {
452:     PetscReal tmp;
453:     for (j = 0; j < bs; j++) tnorm[j] = 0.0;

455:     for (i = 0; i < n; i += bs) {
456:       for (j = 0; j < bs; j++) {
457:         if ((tmp = PetscAbsScalar(x[i + j])) > tnorm[j]) tnorm[j] = tmp;
458:         /* check special case of tmp == NaN */
459:         if (tmp != tmp) {
460:           tnorm[j] = tmp;
461:           break;
462:         }
463:       }
464:     }
465:     PetscCallMPI(MPIU_Allreduce(tnorm, nrm, ibs, MPIU_REAL, MPIU_MAX, comm));
466:   } else SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");
467:   PetscCall(VecRestoreArrayRead(v, &x));
468:   PetscFunctionReturn(PETSC_SUCCESS);
469: }

471: /*@
472:   VecStrideMaxAll - Computes the maximums of subvectors of a vector defined
473:   by a starting point and a stride and optionally its location.

475:   Collective

477:   Input Parameter:
478: . v - the vector

480:   Output Parameters:
481: + idex - the location where the maximum occurred (not supported, pass `NULL`,
482:            if you need this, send mail to petsc-maint@mcs.anl.gov to request it)
483: - nrm  - the maximum values of each subvector

485:   Level: advanced

487:   Notes:
488:   One must call `VecSetBlockSize()` before this routine to set the stride
489:   information, or use a vector created from a multicomponent `DMDA`.

491:   The dimension of nrm must be the same as the vector block size

493: .seealso: `Vec`, `VecMax()`, `VecStrideNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`
494: @*/
495: PetscErrorCode VecStrideMaxAll(Vec v, PetscInt idex[], PetscReal nrm[])
496: {
497:   PetscInt           i, j, n, bs;
498:   const PetscScalar *x;
499:   PetscReal          max[128], tmp;
500:   MPI_Comm           comm;
501:   PetscMPIInt        ibs;

503:   PetscFunctionBegin;
505:   PetscAssertPointer(nrm, 3);
506:   PetscCheck(!idex, PETSC_COMM_SELF, PETSC_ERR_SUP, "No support yet for returning index; send mail to petsc-maint@mcs.anl.gov asking for it");
507:   PetscCall(VecGetLocalSize(v, &n));
508:   PetscCall(VecGetArrayRead(v, &x));
509:   PetscCall(PetscObjectGetComm((PetscObject)v, &comm));

511:   PetscCall(VecGetBlockSize(v, &bs));
512:   PetscCheck(bs <= 128, comm, PETSC_ERR_SUP, "Currently supports only blocksize up to 128");
513:   PetscCall(PetscMPIIntCast(bs, &ibs));

515:   if (!n) {
516:     for (j = 0; j < bs; j++) max[j] = PETSC_MIN_REAL;
517:   } else {
518:     for (j = 0; j < bs; j++) max[j] = PetscRealPart(x[j]);

520:     for (i = bs; i < n; i += bs) {
521:       for (j = 0; j < bs; j++) {
522:         if ((tmp = PetscRealPart(x[i + j])) > max[j]) max[j] = tmp;
523:       }
524:     }
525:   }
526:   PetscCallMPI(MPIU_Allreduce(max, nrm, ibs, MPIU_REAL, MPIU_MAX, comm));

528:   PetscCall(VecRestoreArrayRead(v, &x));
529:   PetscFunctionReturn(PETSC_SUCCESS);
530: }

532: /*@
533:   VecStrideMinAll - Computes the minimum of subvector of a vector defined
534:   by a starting point and a stride and optionally its location.

536:   Collective

538:   Input Parameter:
539: . v - the vector

541:   Output Parameters:
542: + idex - the location where the minimum occurred (not supported, pass `NULL`,
543:            if you need this, send mail to petsc-maint@mcs.anl.gov to request it)
544: - nrm  - the minimums of each subvector

546:   Level: advanced

548:   Notes:
549:   One must call `VecSetBlockSize()` before this routine to set the stride
550:   information, or use a vector created from a multicomponent `DMDA`.

552:   The dimension of `nrm` must be the same as the vector block size

554: .seealso: `Vec`, `VecMin()`, `VecStrideNorm()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMax()`
555: @*/
556: PetscErrorCode VecStrideMinAll(Vec v, PetscInt idex[], PetscReal nrm[])
557: {
558:   PetscInt           i, n, bs, j;
559:   const PetscScalar *x;
560:   PetscReal          min[128], tmp;
561:   MPI_Comm           comm;
562:   PetscMPIInt        ibs;

564:   PetscFunctionBegin;
566:   PetscAssertPointer(nrm, 3);
567:   PetscCheck(!idex, PETSC_COMM_SELF, PETSC_ERR_SUP, "No support yet for returning index; send mail to petsc-maint@mcs.anl.gov asking for it");
568:   PetscCall(VecGetLocalSize(v, &n));
569:   PetscCall(VecGetArrayRead(v, &x));
570:   PetscCall(PetscObjectGetComm((PetscObject)v, &comm));

572:   PetscCall(VecGetBlockSize(v, &bs));
573:   PetscCheck(bs <= 128, comm, PETSC_ERR_SUP, "Currently supports only blocksize up to 128");
574:   PetscCall(PetscMPIIntCast(bs, &ibs));

576:   if (!n) {
577:     for (j = 0; j < bs; j++) min[j] = PETSC_MAX_REAL;
578:   } else {
579:     for (j = 0; j < bs; j++) min[j] = PetscRealPart(x[j]);

581:     for (i = bs; i < n; i += bs) {
582:       for (j = 0; j < bs; j++) {
583:         if ((tmp = PetscRealPart(x[i + j])) < min[j]) min[j] = tmp;
584:       }
585:     }
586:   }
587:   PetscCallMPI(MPIU_Allreduce(min, nrm, ibs, MPIU_REAL, MPIU_MIN, comm));

589:   PetscCall(VecRestoreArrayRead(v, &x));
590:   PetscFunctionReturn(PETSC_SUCCESS);
591: }

593: /*@
594:   VecStrideSumAll - Computes the sums of subvectors of a vector defined by a stride.

596:   Collective

598:   Input Parameter:
599: . v - the vector

601:   Output Parameter:
602: . sums - the sums

604:   Level: advanced

606:   Notes:
607:   One must call `VecSetBlockSize()` before this routine to set the stride
608:   information, or use a vector created from a multicomponent `DMDA`.

610:   If x is the array representing the vector x then this computes the sum
611:   of the array (x[start],x[start+stride],x[start+2*stride], ....) for each start < stride

613: .seealso: `Vec`, `VecSum()`, `VecStrideGather()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`
614: @*/
615: PetscErrorCode VecStrideSumAll(Vec v, PetscScalar sums[])
616: {
617:   PetscInt           i, j, n, bs;
618:   const PetscScalar *x;
619:   PetscScalar        local_sums[128];
620:   MPI_Comm           comm;
621:   PetscMPIInt        ibs;

623:   PetscFunctionBegin;
625:   PetscAssertPointer(sums, 2);
626:   PetscCall(VecGetLocalSize(v, &n));
627:   PetscCall(VecGetArrayRead(v, &x));
628:   PetscCall(PetscObjectGetComm((PetscObject)v, &comm));

630:   PetscCall(VecGetBlockSize(v, &bs));
631:   PetscCheck(bs <= 128, comm, PETSC_ERR_SUP, "Currently supports only blocksize up to 128");
632:   PetscCall(PetscMPIIntCast(bs, &ibs));

634:   for (j = 0; j < bs; j++) local_sums[j] = 0.0;
635:   for (i = 0; i < n; i += bs) {
636:     for (j = 0; j < bs; j++) local_sums[j] += x[i + j];
637:   }
638:   PetscCallMPI(MPIU_Allreduce(local_sums, sums, ibs, MPIU_SCALAR, MPIU_SUM, comm));

640:   PetscCall(VecRestoreArrayRead(v, &x));
641:   PetscFunctionReturn(PETSC_SUCCESS);
642: }

644: /*@
645:   VecStrideGatherAll - Gathers all the single components from a multi-component vector into
646:   separate vectors.

648:   Collective

650:   Input Parameters:
651: + v    - the vector
652: - addv - one of `ADD_VALUES`, `INSERT_VALUES`, `MAX_VALUES`

654:   Output Parameter:
655: . s - the location where the subvectors are stored

657:   Level: advanced

659:   Notes:
660:   One must call `VecSetBlockSize()` before this routine to set the stride
661:   information, or use a vector created from a multicomponent `DMDA`.

663:   If x is the array representing the vector x then this gathers
664:   the arrays (x[start],x[start+stride],x[start+2*stride], ....)
665:   for start=0,1,2,...bs-1

667:   The parallel layout of the vector and the subvector must be the same;
668:   i.e., nlocal of v = stride*(nlocal of s)

670:   Not optimized; could be easily

672: .seealso: `Vec`, `VecStrideNorm()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`, `VecStrideGather()`,
673:           `VecStrideScatterAll()`
674: @*/
675: PetscErrorCode VecStrideGatherAll(Vec v, Vec s[], InsertMode addv)
676: {
677:   PetscInt           i, n, n2, bs, j, k, *bss = NULL, nv, jj, nvc;
678:   PetscScalar      **y;
679:   const PetscScalar *x;

681:   PetscFunctionBegin;
683:   PetscAssertPointer(s, 2);
685:   PetscCall(VecGetLocalSize(v, &n));
686:   PetscCall(VecGetLocalSize(s[0], &n2));
687:   PetscCall(VecGetArrayRead(v, &x));
688:   PetscCall(VecGetBlockSize(v, &bs));
689:   PetscCheck(bs > 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Input vector does not have a valid blocksize set");

691:   PetscCall(PetscMalloc2(bs, &y, bs, &bss));
692:   nv  = 0;
693:   nvc = 0;
694:   for (i = 0; i < bs; i++) {
695:     PetscCall(VecGetBlockSize(s[i], &bss[i]));
696:     if (bss[i] < 1) bss[i] = 1; /* if user never set it then assume 1  Re: [PETSC #8241] VecStrideGatherAll */
697:     PetscCall(VecGetArray(s[i], &y[i]));
698:     nvc += bss[i];
699:     nv++;
700:     PetscCheck(nvc <= bs, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Number of subvectors in subvectors > number of vectors in main vector");
701:     if (nvc == bs) break;
702:   }

704:   n = n / bs;

706:   jj = 0;
707:   if (addv == INSERT_VALUES) {
708:     for (j = 0; j < nv; j++) {
709:       for (k = 0; k < bss[j]; k++) {
710:         for (i = 0; i < n; i++) y[j][i * bss[j] + k] = x[bs * i + jj + k];
711:       }
712:       jj += bss[j];
713:     }
714:   } else if (addv == ADD_VALUES) {
715:     for (j = 0; j < nv; j++) {
716:       for (k = 0; k < bss[j]; k++) {
717:         for (i = 0; i < n; i++) y[j][i * bss[j] + k] += x[bs * i + jj + k];
718:       }
719:       jj += bss[j];
720:     }
721: #if !defined(PETSC_USE_COMPLEX)
722:   } else if (addv == MAX_VALUES) {
723:     for (j = 0; j < nv; j++) {
724:       for (k = 0; k < bss[j]; k++) {
725:         for (i = 0; i < n; i++) y[j][i * bss[j] + k] = PetscMax(y[j][i * bss[j] + k], x[bs * i + jj + k]);
726:       }
727:       jj += bss[j];
728:     }
729: #endif
730:   } else SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");

732:   PetscCall(VecRestoreArrayRead(v, &x));
733:   for (i = 0; i < nv; i++) PetscCall(VecRestoreArray(s[i], &y[i]));

735:   PetscCall(PetscFree2(y, bss));
736:   PetscFunctionReturn(PETSC_SUCCESS);
737: }

739: /*@
740:   VecStrideScatterAll - Scatters all the single components from separate vectors into
741:   a multi-component vector.

743:   Collective

745:   Input Parameters:
746: + s    - the location where the subvectors are stored
747: - addv - one of `ADD_VALUES`, `INSERT_VALUES`, `MAX_VALUES`

749:   Output Parameter:
750: . v - the multicomponent vector

752:   Level: advanced

754:   Notes:
755:   One must call `VecSetBlockSize()` before this routine to set the stride
756:   information, or use a vector created from a multicomponent `DMDA`.

758:   The parallel layout of the vector and the subvector must be the same;
759:   i.e., nlocal of v = stride*(nlocal of s)

761:   Not optimized; could be easily

763: .seealso: `Vec`, `VecStrideNorm()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`, `VecStrideGather()`,

765: @*/
766: PetscErrorCode VecStrideScatterAll(Vec s[], Vec v, InsertMode addv)
767: {
768:   PetscInt            i, n, n2, bs, j, jj, k, *bss = NULL, nv, nvc;
769:   PetscScalar        *x;
770:   PetscScalar const **y;

772:   PetscFunctionBegin;
774:   PetscAssertPointer(s, 1);
776:   PetscCall(VecGetLocalSize(v, &n));
777:   PetscCall(VecGetLocalSize(s[0], &n2));
778:   PetscCall(VecGetArray(v, &x));
779:   PetscCall(VecGetBlockSize(v, &bs));
780:   PetscCheck(bs > 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Input vector does not have a valid blocksize set");

782:   PetscCall(PetscMalloc2(bs, (PetscScalar ***)&y, bs, &bss));
783:   nv  = 0;
784:   nvc = 0;
785:   for (i = 0; i < bs; i++) {
786:     PetscCall(VecGetBlockSize(s[i], &bss[i]));
787:     if (bss[i] < 1) bss[i] = 1; /* if user never set it then assume 1  Re: [PETSC #8241] VecStrideGatherAll */
788:     PetscCall(VecGetArrayRead(s[i], &y[i]));
789:     nvc += bss[i];
790:     nv++;
791:     PetscCheck(nvc <= bs, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Number of subvectors in subvectors > number of vectors in main vector");
792:     if (nvc == bs) break;
793:   }

795:   n = n / bs;

797:   jj = 0;
798:   if (addv == INSERT_VALUES) {
799:     for (j = 0; j < nv; j++) {
800:       for (k = 0; k < bss[j]; k++) {
801:         for (i = 0; i < n; i++) x[bs * i + jj + k] = y[j][i * bss[j] + k];
802:       }
803:       jj += bss[j];
804:     }
805:   } else if (addv == ADD_VALUES) {
806:     for (j = 0; j < nv; j++) {
807:       for (k = 0; k < bss[j]; k++) {
808:         for (i = 0; i < n; i++) x[bs * i + jj + k] += y[j][i * bss[j] + k];
809:       }
810:       jj += bss[j];
811:     }
812: #if !defined(PETSC_USE_COMPLEX)
813:   } else if (addv == MAX_VALUES) {
814:     for (j = 0; j < nv; j++) {
815:       for (k = 0; k < bss[j]; k++) {
816:         for (i = 0; i < n; i++) x[bs * i + jj + k] = PetscMax(x[bs * i + jj + k], y[j][i * bss[j] + k]);
817:       }
818:       jj += bss[j];
819:     }
820: #endif
821:   } else SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");

823:   PetscCall(VecRestoreArray(v, &x));
824:   for (i = 0; i < nv; i++) PetscCall(VecRestoreArrayRead(s[i], &y[i]));
825:   PetscCall(PetscFree2(*(PetscScalar ***)&y, bss));
826:   PetscFunctionReturn(PETSC_SUCCESS);
827: }

829: /*@
830:   VecStrideGather - Gathers a single component from a multi-component vector into
831:   another vector.

833:   Collective

835:   Input Parameters:
836: + v     - the vector
837: . start - starting point of the subvector (defined by a stride)
838: - addv  - one of `ADD_VALUES`, `INSERT_VALUES`, `MAX_VALUES`

840:   Output Parameter:
841: . s - the location where the subvector is stored

843:   Level: advanced

845:   Notes:
846:   One must call `VecSetBlockSize()` before this routine to set the stride
847:   information, or use a vector created from a multicomponent `DMDA`.

849:   If x is the array representing the vector x then this gathers
850:   the array (x[start],x[start+stride],x[start+2*stride], ....)

852:   The parallel layout of the vector and the subvector must be the same;
853:   i.e., nlocal of v = stride*(nlocal of s)

855:   Not optimized; could be easily

857: .seealso: `Vec`, `VecStrideNorm()`, `VecStrideScatter()`, `VecStrideMin()`, `VecStrideMax()`, `VecStrideGatherAll()`,
858:           `VecStrideScatterAll()`
859: @*/
860: PetscErrorCode VecStrideGather(Vec v, PetscInt start, Vec s, InsertMode addv)
861: {
862:   PetscFunctionBegin;
866:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
867:   PetscCheck(start < v->map->bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start,
868:              v->map->bs);
869:   PetscUseTypeMethod(v, stridegather, start, s, addv);
870:   PetscFunctionReturn(PETSC_SUCCESS);
871: }

873: /*@
874:   VecStrideScatter - Scatters a single component from a vector into a multi-component vector.

876:   Collective

878:   Input Parameters:
879: + s     - the single-component vector
880: . start - starting point of the subvector (defined by a stride)
881: - addv  - one of `ADD_VALUES`, `INSERT_VALUES`, `MAX_VALUES`

883:   Output Parameter:
884: . v - the location where the subvector is scattered (the multi-component vector)

886:   Level: advanced

888:   Notes:
889:   One must call `VecSetBlockSize()` on the multi-component vector before this
890:   routine to set the stride  information, or use a vector created from a multicomponent `DMDA`.

892:   The parallel layout of the vector and the subvector must be the same;
893:   i.e., nlocal of v = stride*(nlocal of s)

895:   Not optimized; could be easily

897: .seealso: `Vec`, `VecStrideNorm()`, `VecStrideGather()`, `VecStrideMin()`, `VecStrideMax()`, `VecStrideGatherAll()`,
898:           `VecStrideScatterAll()`, `VecStrideSubSetScatter()`, `VecStrideSubSetGather()`
899: @*/
900: PetscErrorCode VecStrideScatter(Vec s, PetscInt start, Vec v, InsertMode addv)
901: {
902:   PetscFunctionBegin;
906:   PetscCheck(start >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative start %" PetscInt_FMT, start);
907:   PetscCheck(start < v->map->bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Start of stride subvector (%" PetscInt_FMT ") is too large for stride. Have you set the vector blocksize (%" PetscInt_FMT ") correctly with VecSetBlockSize()?", start,
908:              v->map->bs);
909:   PetscCall((*v->ops->stridescatter)(s, start, v, addv));
910:   PetscFunctionReturn(PETSC_SUCCESS);
911: }

913: /*@
914:   VecStrideSubSetGather - Gathers a subset of components from a multi-component vector into
915:   another vector.

917:   Collective

919:   Input Parameters:
920: + v    - the vector
921: . nidx - the number of indices
922: . idxv - the indices of the components 0 <= idxv[0] ...idxv[nidx-1] < bs(v), they need not be sorted
923: . idxs - the indices of the components 0 <= idxs[0] ...idxs[nidx-1] < bs(s), they need not be sorted, may be null if nidx == bs(s) or is `PETSC_DETERMINE`
924: - addv - one of `ADD_VALUES`, `INSERT_VALUES`, `MAX_VALUES`

926:   Output Parameter:
927: . s - the location where the subvector is stored

929:   Level: advanced

931:   Notes:
932:   One must call `VecSetBlockSize()` on both vectors before this routine to set the stride
933:   information, or use a vector created from a multicomponent `DMDA`.

935:   The parallel layout of the vector and the subvector must be the same;

937:   Not optimized; could be easily

939: .seealso: `Vec`, `VecStrideNorm()`, `VecStrideScatter()`, `VecStrideGather()`, `VecStrideSubSetScatter()`, `VecStrideMin()`, `VecStrideMax()`, `VecStrideGatherAll()`,
940:           `VecStrideScatterAll()`
941: @*/
942: PetscErrorCode VecStrideSubSetGather(Vec v, PetscInt nidx, const PetscInt idxv[], const PetscInt idxs[], Vec s, InsertMode addv)
943: {
944:   PetscFunctionBegin;
947:   if (nidx == PETSC_DETERMINE) nidx = s->map->bs;
948:   PetscUseTypeMethod(v, stridesubsetgather, nidx, idxv, idxs, s, addv);
949:   PetscFunctionReturn(PETSC_SUCCESS);
950: }

952: /*@
953:   VecStrideSubSetScatter - Scatters components from a vector into a subset of components of a multi-component vector.

955:   Collective

957:   Input Parameters:
958: + s    - the smaller-component vector
959: . nidx - the number of indices in idx
960: . idxs - the indices of the components in the smaller-component vector, 0 <= idxs[0] ...idxs[nidx-1] < bs(s) they need not be sorted, may be null if nidx == bs(s) or is `PETSC_DETERMINE`
961: . idxv - the indices of the components in the larger-component vector, 0 <= idx[0] ...idx[nidx-1] < bs(v) they need not be sorted
962: - addv - one of `ADD_VALUES`, `INSERT_VALUES`, `MAX_VALUES`

964:   Output Parameter:
965: . v - the location where the subvector is into scattered (the multi-component vector)

967:   Level: advanced

969:   Notes:
970:   One must call `VecSetBlockSize()` on the vectors before this
971:   routine to set the stride  information, or use a vector created from a multicomponent `DMDA`.

973:   The parallel layout of the vector and the subvector must be the same;

975:   Not optimized; could be easily

977: .seealso: `Vec`, `VecStrideNorm()`, `VecStrideGather()`, `VecStrideSubSetGather()`, `VecStrideMin()`, `VecStrideMax()`, `VecStrideGatherAll()`,
978:           `VecStrideScatterAll()`
979: @*/
980: PetscErrorCode VecStrideSubSetScatter(Vec s, PetscInt nidx, const PetscInt idxs[], const PetscInt idxv[], Vec v, InsertMode addv)
981: {
982:   PetscFunctionBegin;
985:   if (nidx == PETSC_DETERMINE) nidx = s->map->bs;
986:   PetscCall((*v->ops->stridesubsetscatter)(s, nidx, idxs, idxv, v, addv));
987:   PetscFunctionReturn(PETSC_SUCCESS);
988: }

990: PetscErrorCode VecStrideGather_Default(Vec v, PetscInt start, Vec s, InsertMode addv)
991: {
992:   PetscInt           i, n, bs, ns;
993:   const PetscScalar *x;
994:   PetscScalar       *y;

996:   PetscFunctionBegin;
997:   PetscCall(VecGetLocalSize(v, &n));
998:   PetscCall(VecGetLocalSize(s, &ns));
999:   PetscCall(VecGetArrayRead(v, &x));
1000:   PetscCall(VecGetArray(s, &y));

1002:   bs = v->map->bs;
1003:   PetscCheck(n == ns * bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Subvector length * blocksize %" PetscInt_FMT " not correct for gather from original vector %" PetscInt_FMT, ns * bs, n);
1004:   x += start;
1005:   n = n / bs;

1007:   if (addv == INSERT_VALUES) {
1008:     for (i = 0; i < n; i++) y[i] = x[bs * i];
1009:   } else if (addv == ADD_VALUES) {
1010:     for (i = 0; i < n; i++) y[i] += x[bs * i];
1011: #if !defined(PETSC_USE_COMPLEX)
1012:   } else if (addv == MAX_VALUES) {
1013:     for (i = 0; i < n; i++) y[i] = PetscMax(y[i], x[bs * i]);
1014: #endif
1015:   } else SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");

1017:   PetscCall(VecRestoreArrayRead(v, &x));
1018:   PetscCall(VecRestoreArray(s, &y));
1019:   PetscFunctionReturn(PETSC_SUCCESS);
1020: }

1022: PetscErrorCode VecStrideScatter_Default(Vec s, PetscInt start, Vec v, InsertMode addv)
1023: {
1024:   PetscInt           i, n, bs, ns;
1025:   PetscScalar       *x;
1026:   const PetscScalar *y;

1028:   PetscFunctionBegin;
1029:   PetscCall(VecGetLocalSize(v, &n));
1030:   PetscCall(VecGetLocalSize(s, &ns));
1031:   PetscCall(VecGetArray(v, &x));
1032:   PetscCall(VecGetArrayRead(s, &y));

1034:   bs = v->map->bs;
1035:   PetscCheck(n == ns * bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Subvector length * blocksize %" PetscInt_FMT " not correct for scatter to multicomponent vector %" PetscInt_FMT, ns * bs, n);
1036:   x += start;
1037:   n = n / bs;

1039:   if (addv == INSERT_VALUES) {
1040:     for (i = 0; i < n; i++) x[bs * i] = y[i];
1041:   } else if (addv == ADD_VALUES) {
1042:     for (i = 0; i < n; i++) x[bs * i] += y[i];
1043: #if !defined(PETSC_USE_COMPLEX)
1044:   } else if (addv == MAX_VALUES) {
1045:     for (i = 0; i < n; i++) x[bs * i] = PetscMax(y[i], x[bs * i]);
1046: #endif
1047:   } else SETERRQ(PetscObjectComm((PetscObject)s), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");

1049:   PetscCall(VecRestoreArray(v, &x));
1050:   PetscCall(VecRestoreArrayRead(s, &y));
1051:   PetscFunctionReturn(PETSC_SUCCESS);
1052: }

1054: PetscErrorCode VecStrideSubSetGather_Default(Vec v, PetscInt nidx, const PetscInt idxv[], const PetscInt idxs[], Vec s, InsertMode addv)
1055: {
1056:   PetscInt           i, j, n, bs, bss, ns;
1057:   const PetscScalar *x;
1058:   PetscScalar       *y;

1060:   PetscFunctionBegin;
1061:   PetscCall(VecGetLocalSize(v, &n));
1062:   PetscCall(VecGetLocalSize(s, &ns));
1063:   PetscCall(VecGetArrayRead(v, &x));
1064:   PetscCall(VecGetArray(s, &y));

1066:   bs  = v->map->bs;
1067:   bss = s->map->bs;
1068:   n   = n / bs;

1070:   if (PetscDefined(USE_DEBUG)) {
1071:     PetscCheck(n == ns / bss, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Incompatible layout of vectors");
1072:     for (j = 0; j < nidx; j++) {
1073:       PetscCheck(idxv[j] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "idx[%" PetscInt_FMT "] %" PetscInt_FMT " is negative", j, idxv[j]);
1074:       PetscCheck(idxv[j] < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "idx[%" PetscInt_FMT "] %" PetscInt_FMT " is greater than or equal to vector blocksize %" PetscInt_FMT, j, idxv[j], bs);
1075:     }
1076:     PetscCheck(idxs || bss == nidx, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Must provide idxs when not gathering into all locations");
1077:   }

1079:   if (addv == INSERT_VALUES) {
1080:     if (!idxs) {
1081:       for (i = 0; i < n; i++) {
1082:         for (j = 0; j < bss; j++) y[bss * i + j] = x[bs * i + idxv[j]];
1083:       }
1084:     } else {
1085:       for (i = 0; i < n; i++) {
1086:         for (j = 0; j < bss; j++) y[bss * i + idxs[j]] = x[bs * i + idxv[j]];
1087:       }
1088:     }
1089:   } else if (addv == ADD_VALUES) {
1090:     if (!idxs) {
1091:       for (i = 0; i < n; i++) {
1092:         for (j = 0; j < bss; j++) y[bss * i + j] += x[bs * i + idxv[j]];
1093:       }
1094:     } else {
1095:       for (i = 0; i < n; i++) {
1096:         for (j = 0; j < bss; j++) y[bss * i + idxs[j]] += x[bs * i + idxv[j]];
1097:       }
1098:     }
1099: #if !defined(PETSC_USE_COMPLEX)
1100:   } else if (addv == MAX_VALUES) {
1101:     if (!idxs) {
1102:       for (i = 0; i < n; i++) {
1103:         for (j = 0; j < bss; j++) y[bss * i + j] = PetscMax(y[bss * i + j], x[bs * i + idxv[j]]);
1104:       }
1105:     } else {
1106:       for (i = 0; i < n; i++) {
1107:         for (j = 0; j < bss; j++) y[bss * i + idxs[j]] = PetscMax(y[bss * i + idxs[j]], x[bs * i + idxv[j]]);
1108:       }
1109:     }
1110: #endif
1111:   } else SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");

1113:   PetscCall(VecRestoreArrayRead(v, &x));
1114:   PetscCall(VecRestoreArray(s, &y));
1115:   PetscFunctionReturn(PETSC_SUCCESS);
1116: }

1118: PetscErrorCode VecStrideSubSetScatter_Default(Vec s, PetscInt nidx, const PetscInt idxs[], const PetscInt idxv[], Vec v, InsertMode addv)
1119: {
1120:   PetscInt           j, i, n, bs, ns, bss;
1121:   PetscScalar       *x;
1122:   const PetscScalar *y;

1124:   PetscFunctionBegin;
1125:   PetscCall(VecGetLocalSize(v, &n));
1126:   PetscCall(VecGetLocalSize(s, &ns));
1127:   PetscCall(VecGetArray(v, &x));
1128:   PetscCall(VecGetArrayRead(s, &y));

1130:   bs  = v->map->bs;
1131:   bss = s->map->bs;
1132:   n   = n / bs;

1134:   if (PetscDefined(USE_DEBUG)) {
1135:     PetscCheck(n == ns / bss, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Incompatible layout of vectors");
1136:     for (j = 0; j < bss; j++) {
1137:       if (idxs) {
1138:         PetscCheck(idxs[j] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "idx[%" PetscInt_FMT "] %" PetscInt_FMT " is negative", j, idxs[j]);
1139:         PetscCheck(idxs[j] < bs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "idx[%" PetscInt_FMT "] %" PetscInt_FMT " is greater than or equal to vector blocksize %" PetscInt_FMT, j, idxs[j], bs);
1140:       }
1141:     }
1142:     PetscCheck(idxs || bss == nidx, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Must provide idxs when not scattering from all locations");
1143:   }

1145:   if (addv == INSERT_VALUES) {
1146:     if (!idxs) {
1147:       for (i = 0; i < n; i++) {
1148:         for (j = 0; j < bss; j++) x[bs * i + idxv[j]] = y[bss * i + j];
1149:       }
1150:     } else {
1151:       for (i = 0; i < n; i++) {
1152:         for (j = 0; j < bss; j++) x[bs * i + idxv[j]] = y[bss * i + idxs[j]];
1153:       }
1154:     }
1155:   } else if (addv == ADD_VALUES) {
1156:     if (!idxs) {
1157:       for (i = 0; i < n; i++) {
1158:         for (j = 0; j < bss; j++) x[bs * i + idxv[j]] += y[bss * i + j];
1159:       }
1160:     } else {
1161:       for (i = 0; i < n; i++) {
1162:         for (j = 0; j < bss; j++) x[bs * i + idxv[j]] += y[bss * i + idxs[j]];
1163:       }
1164:     }
1165: #if !defined(PETSC_USE_COMPLEX)
1166:   } else if (addv == MAX_VALUES) {
1167:     if (!idxs) {
1168:       for (i = 0; i < n; i++) {
1169:         for (j = 0; j < bss; j++) x[bs * i + idxv[j]] = PetscMax(y[bss * i + j], x[bs * i + idxv[j]]);
1170:       }
1171:     } else {
1172:       for (i = 0; i < n; i++) {
1173:         for (j = 0; j < bss; j++) x[bs * i + idxv[j]] = PetscMax(y[bss * i + idxs[j]], x[bs * i + idxv[j]]);
1174:       }
1175:     }
1176: #endif
1177:   } else SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown norm type");

1179:   PetscCall(VecRestoreArray(v, &x));
1180:   PetscCall(VecRestoreArrayRead(s, &y));
1181:   PetscFunctionReturn(PETSC_SUCCESS);
1182: }

1184: static PetscErrorCode VecApplyUnary_Private(Vec v, PetscDeviceContext dctx, const char async_name[], PetscErrorCode (*unary_op)(Vec), PetscScalar (*UnaryFunc)(PetscScalar))
1185: {
1186:   PetscFunctionBegin;
1188:   PetscCall(VecSetErrorIfLocked(v, 1));
1189:   if (dctx) {
1190:     PetscErrorCode (*unary_op_async)(Vec, PetscDeviceContext);

1192:     PetscCall(PetscObjectQueryFunction((PetscObject)v, async_name, &unary_op_async));
1193:     if (unary_op_async) {
1194:       PetscCall((*unary_op_async)(v, dctx));
1195:       PetscFunctionReturn(PETSC_SUCCESS);
1196:     }
1197:   }
1198:   if (unary_op) {
1200:     PetscCall((*unary_op)(v));
1201:   } else {
1202:     PetscInt     n;
1203:     PetscScalar *x;

1206:     PetscCall(VecGetLocalSize(v, &n));
1207:     PetscCall(VecGetArray(v, &x));
1208:     for (PetscInt i = 0; i < n; ++i) x[i] = UnaryFunc(x[i]);
1209:     PetscCall(VecRestoreArray(v, &x));
1210:   }
1211:   PetscFunctionReturn(PETSC_SUCCESS);
1212: }

1214: static PetscScalar ScalarReciprocal_Function(PetscScalar x)
1215: {
1216:   const PetscScalar zero = 0.0;

1218:   return x == zero ? zero : ((PetscScalar)1.0) / x;
1219: }

1221: PetscErrorCode VecReciprocalAsync_Private(Vec v, PetscDeviceContext dctx)
1222: {
1223:   PetscFunctionBegin;
1224:   PetscCall(PetscLogEventBegin(VEC_Reciprocal, v, NULL, NULL, NULL));
1225:   PetscCall(VecApplyUnary_Private(v, dctx, VecAsyncFnName(Reciprocal), v->ops->reciprocal, ScalarReciprocal_Function));
1226:   PetscCall(PetscLogEventEnd(VEC_Reciprocal, v, NULL, NULL, NULL));
1227:   PetscFunctionReturn(PETSC_SUCCESS);
1228: }

1230: PetscErrorCode VecReciprocal_Default(Vec v)
1231: {
1232:   PetscFunctionBegin;
1233:   PetscCall(VecApplyUnary_Private(v, NULL, NULL, NULL, ScalarReciprocal_Function));
1234:   PetscFunctionReturn(PETSC_SUCCESS);
1235: }

1237: static PetscScalar ScalarExp_Function(PetscScalar x)
1238: {
1239:   return PetscExpScalar(x);
1240: }

1242: PetscErrorCode VecExpAsync_Private(Vec v, PetscDeviceContext dctx)
1243: {
1244:   PetscFunctionBegin;
1246:   PetscCall(VecApplyUnary_Private(v, dctx, VecAsyncFnName(Exp), v->ops->exp, ScalarExp_Function));
1247:   PetscFunctionReturn(PETSC_SUCCESS);
1248: }

1250: /*@
1251:   VecExp - Replaces each component of a vector by e^x_i

1253:   Not Collective

1255:   Input Parameter:
1256: . v - The vector

1258:   Output Parameter:
1259: . v - The vector of exponents

1261:   Level: beginner

1263: .seealso: `Vec`, `VecLog()`, `VecAbs()`, `VecSqrtAbs()`, `VecReciprocal()`

1265: @*/
1266: PetscErrorCode VecExp(Vec v)
1267: {
1268:   PetscFunctionBegin;
1269:   PetscCall(VecExpAsync_Private(v, NULL));
1270:   PetscFunctionReturn(PETSC_SUCCESS);
1271: }

1273: static PetscScalar ScalarLog_Function(PetscScalar x)
1274: {
1275:   return PetscLogScalar(x);
1276: }

1278: PetscErrorCode VecLogAsync_Private(Vec v, PetscDeviceContext dctx)
1279: {
1280:   PetscFunctionBegin;
1282:   PetscCall(VecApplyUnary_Private(v, dctx, VecAsyncFnName(Log), v->ops->log, ScalarLog_Function));
1283:   PetscFunctionReturn(PETSC_SUCCESS);
1284: }

1286: /*@
1287:   VecLog - Replaces each component of a vector by log(x_i), the natural logarithm

1289:   Not Collective

1291:   Input Parameter:
1292: . v - The vector

1294:   Output Parameter:
1295: . v - The vector of logs

1297:   Level: beginner

1299: .seealso: `Vec`, `VecExp()`, `VecAbs()`, `VecSqrtAbs()`, `VecReciprocal()`

1301: @*/
1302: PetscErrorCode VecLog(Vec v)
1303: {
1304:   PetscFunctionBegin;
1305:   PetscCall(VecLogAsync_Private(v, NULL));
1306:   PetscFunctionReturn(PETSC_SUCCESS);
1307: }

1309: static PetscScalar ScalarAbs_Function(PetscScalar x)
1310: {
1311:   return PetscAbsScalar(x);
1312: }

1314: PetscErrorCode VecAbsAsync_Private(Vec v, PetscDeviceContext dctx)
1315: {
1316:   PetscFunctionBegin;
1318:   PetscCall(VecApplyUnary_Private(v, dctx, VecAsyncFnName(Abs), v->ops->abs, ScalarAbs_Function));
1319:   PetscFunctionReturn(PETSC_SUCCESS);
1320: }

1322: /*@
1323:   VecAbs - Replaces every element in a vector with its absolute value.

1325:   Logically Collective

1327:   Input Parameter:
1328: . v - the vector

1330:   Level: intermediate

1332: .seealso: `Vec`, `VecExp()`, `VecSqrtAbs()`, `VecReciprocal()`, `VecLog()`
1333: @*/
1334: PetscErrorCode VecAbs(Vec v)
1335: {
1336:   PetscFunctionBegin;
1337:   PetscCall(VecAbsAsync_Private(v, NULL));
1338:   PetscFunctionReturn(PETSC_SUCCESS);
1339: }

1341: static PetscScalar ScalarConjugate_Function(PetscScalar x)
1342: {
1343:   return PetscConj(x);
1344: }

1346: PetscErrorCode VecConjugateAsync_Private(Vec v, PetscDeviceContext dctx)
1347: {
1348:   PetscFunctionBegin;
1350:   if (PetscDefined(USE_COMPLEX)) PetscCall(VecApplyUnary_Private(v, dctx, VecAsyncFnName(Conjugate), v->ops->conjugate, ScalarConjugate_Function));
1351:   PetscFunctionReturn(PETSC_SUCCESS);
1352: }

1354: /*@
1355:   VecConjugate - Conjugates a vector. That is, replace every entry in a vector with its complex conjugate

1357:   Logically Collective

1359:   Input Parameter:
1360: . x - the vector

1362:   Level: intermediate

1364: .seealso: [](ch_vectors), `Vec`, `VecSet()`
1365: @*/
1366: PetscErrorCode VecConjugate(Vec x)
1367: {
1368:   PetscFunctionBegin;
1369:   PetscCall(VecConjugateAsync_Private(x, NULL));
1370:   PetscFunctionReturn(PETSC_SUCCESS);
1371: }

1373: static PetscScalar ScalarSqrtAbs_Function(PetscScalar x)
1374: {
1375:   return PetscSqrtScalar(ScalarAbs_Function(x));
1376: }

1378: PetscErrorCode VecSqrtAbsAsync_Private(Vec v, PetscDeviceContext dctx)
1379: {
1380:   PetscFunctionBegin;
1382:   PetscCall(VecApplyUnary_Private(v, dctx, VecAsyncFnName(SqrtAbs), v->ops->sqrt, ScalarSqrtAbs_Function));
1383:   PetscFunctionReturn(PETSC_SUCCESS);
1384: }

1386: /*@
1387:   VecSqrtAbs - Replaces each component of a vector by the square root of its magnitude.

1389:   Not Collective

1391:   Input Parameter:
1392: . v - The vector

1394:   Level: beginner

1396:   Note:
1397:   The actual function is sqrt(|x_i|)

1399: .seealso: `Vec`, `VecLog()`, `VecExp()`, `VecReciprocal()`, `VecAbs()`

1401: @*/
1402: PetscErrorCode VecSqrtAbs(Vec v)
1403: {
1404:   PetscFunctionBegin;
1405:   PetscCall(VecSqrtAbsAsync_Private(v, NULL));
1406:   PetscFunctionReturn(PETSC_SUCCESS);
1407: }

1409: static PetscScalar ScalarImaginaryPart_Function(PetscScalar x)
1410: {
1411:   const PetscReal imag = PetscImaginaryPart(x);

1413: #if PetscDefined(USE_COMPLEX)
1414:   return PetscCMPLX(imag, 0.0);
1415: #else
1416:   return imag;
1417: #endif
1418: }

1420: /*@
1421:   VecImaginaryPart - Replaces a complex vector with its imaginary part

1423:   Collective

1425:   Input Parameter:
1426: . v - the vector

1428:   Level: beginner

1430: .seealso: `Vec`, `VecNorm()`, `VecRealPart()`
1431: @*/
1432: PetscErrorCode VecImaginaryPart(Vec v)
1433: {
1434:   PetscFunctionBegin;
1436:   PetscCall(VecApplyUnary_Private(v, NULL, NULL, NULL, ScalarImaginaryPart_Function));
1437:   PetscFunctionReturn(PETSC_SUCCESS);
1438: }

1440: static PetscScalar ScalarRealPart_Function(PetscScalar x)
1441: {
1442:   const PetscReal real = PetscRealPart(x);

1444: #if PetscDefined(USE_COMPLEX)
1445:   return PetscCMPLX(real, 0.0);
1446: #else
1447:   return real;
1448: #endif
1449: }

1451: /*@
1452:   VecRealPart - Replaces a complex vector with its real part

1454:   Collective

1456:   Input Parameter:
1457: . v - the vector

1459:   Level: beginner

1461: .seealso: `Vec`, `VecNorm()`, `VecImaginaryPart()`
1462: @*/
1463: PetscErrorCode VecRealPart(Vec v)
1464: {
1465:   PetscFunctionBegin;
1467:   PetscCall(VecApplyUnary_Private(v, NULL, NULL, NULL, ScalarRealPart_Function));
1468:   PetscFunctionReturn(PETSC_SUCCESS);
1469: }

1471: /*@
1472:   VecDotNorm2 - computes the inner product of two vectors and the 2-norm squared of the second vector

1474:   Collective

1476:   Input Parameters:
1477: + s - first vector
1478: - t - second vector

1480:   Output Parameters:
1481: + dp - s'conj(t)
1482: - nm - t'conj(t)

1484:   Level: advanced

1486:   Note:
1487:   conj(x) is the complex conjugate of x when x is complex

1489: .seealso: `Vec`, `VecDot()`, `VecNorm()`, `VecDotBegin()`, `VecNormBegin()`, `VecDotEnd()`, `VecNormEnd()`

1491: @*/
1492: PetscErrorCode VecDotNorm2(Vec s, Vec t, PetscScalar *dp, PetscReal *nm)
1493: {
1494:   PetscScalar work[] = {0.0, 0.0};

1496:   PetscFunctionBegin;
1499:   PetscAssertPointer(dp, 3);
1500:   PetscAssertPointer(nm, 4);
1503:   PetscCheckSameTypeAndComm(s, 1, t, 2);
1504:   PetscCheck(s->map->N == t->map->N, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Incompatible vector global lengths");
1505:   PetscCheck(s->map->n == t->map->n, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Incompatible vector local lengths");

1507:   PetscCall(PetscLogEventBegin(VEC_DotNorm2, s, t, 0, 0));
1508:   if (s->ops->dotnorm2) {
1509:     PetscUseTypeMethod(s, dotnorm2, t, work, work + 1);
1510:   } else {
1511:     const PetscScalar *sx, *tx;
1512:     PetscInt           n;

1514:     PetscCall(VecGetLocalSize(s, &n));
1515:     PetscCall(VecGetArrayRead(s, &sx));
1516:     PetscCall(VecGetArrayRead(t, &tx));
1517:     for (PetscInt i = 0; i < n; ++i) {
1518:       const PetscScalar txconj = PetscConj(tx[i]);

1520:       work[0] += sx[i] * txconj;
1521:       work[1] += tx[i] * txconj;
1522:     }
1523:     PetscCall(VecRestoreArrayRead(t, &tx));
1524:     PetscCall(VecRestoreArrayRead(s, &sx));
1525:     PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, work, 2, MPIU_SCALAR, MPIU_SUM, PetscObjectComm((PetscObject)s)));
1526:     PetscCall(PetscLogFlops(4.0 * n));
1527:   }
1528:   PetscCall(PetscLogEventEnd(VEC_DotNorm2, s, t, 0, 0));
1529:   *dp = work[0];
1530:   *nm = PetscRealPart(work[1]);
1531:   PetscFunctionReturn(PETSC_SUCCESS);
1532: }

1534: /*@
1535:   VecSum - Computes the sum of all the components of a vector.

1537:   Collective

1539:   Input Parameter:
1540: . v - the vector

1542:   Output Parameter:
1543: . sum - the result

1545:   Level: beginner

1547: .seealso: `Vec`, `VecMean()`, `VecNorm()`
1548: @*/
1549: PetscErrorCode VecSum(Vec v, PetscScalar *sum)
1550: {
1551:   PetscScalar tmp = 0.0;

1553:   PetscFunctionBegin;
1555:   PetscAssertPointer(sum, 2);
1556:   if (v->ops->sum) {
1557:     PetscUseTypeMethod(v, sum, &tmp);
1558:   } else {
1559:     const PetscScalar *x;
1560:     PetscInt           n;

1562:     PetscCall(VecGetLocalSize(v, &n));
1563:     PetscCall(VecGetArrayRead(v, &x));
1564:     for (PetscInt i = 0; i < n; ++i) tmp += x[i];
1565:     PetscCall(VecRestoreArrayRead(v, &x));
1566:   }
1567:   PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &tmp, 1, MPIU_SCALAR, MPIU_SUM, PetscObjectComm((PetscObject)v)));
1568:   *sum = tmp;
1569:   PetscFunctionReturn(PETSC_SUCCESS);
1570: }

1572: /*@
1573:   VecMean - Computes the arithmetic mean of all the components of a vector.

1575:   Collective

1577:   Input Parameter:
1578: . v - the vector

1580:   Output Parameter:
1581: . mean - the result

1583:   Level: beginner

1585: .seealso: `Vec`, `VecSum()`, `VecNorm()`
1586: @*/
1587: PetscErrorCode VecMean(Vec v, PetscScalar *mean)
1588: {
1589:   PetscInt n;

1591:   PetscFunctionBegin;
1593:   PetscAssertPointer(mean, 2);
1594:   PetscCall(VecGetSize(v, &n));
1595:   PetscCall(VecSum(v, mean));
1596:   *mean /= n;
1597:   PetscFunctionReturn(PETSC_SUCCESS);
1598: }

1600: PetscErrorCode VecShiftAsync_Private(Vec v, PetscScalar shift, PetscDeviceContext dctx)
1601: {
1602:   PetscErrorCode (*shift_async)(Vec, PetscScalar, PetscDeviceContext) = NULL;

1604:   PetscFunctionBegin;
1605:   if (dctx) {
1606:     PetscErrorCode (*shift_async)(Vec, PetscScalar, PetscDeviceContext);

1608:     PetscCall(PetscObjectQueryFunction((PetscObject)v, VecAsyncFnName(Shift), &shift_async));
1609:   }
1610:   if (shift_async) {
1611:     PetscCall((*shift_async)(v, shift, dctx));
1612:   } else if (v->ops->shift) {
1613:     PetscUseTypeMethod(v, shift, shift);
1614:   } else {
1615:     PetscInt     n;
1616:     PetscScalar *x;

1618:     PetscCall(VecGetLocalSize(v, &n));
1619:     PetscCall(VecGetArray(v, &x));
1620:     for (PetscInt i = 0; i < n; ++i) x[i] += shift;
1621:     PetscCall(VecRestoreArray(v, &x));
1622:     PetscCall(PetscLogFlops(n));
1623:   }
1624:   PetscFunctionReturn(PETSC_SUCCESS);
1625: }

1627: /*@
1628:   VecShift - Shifts all of the components of a vector by computing
1629:   `x[i] = x[i] + shift`.

1631:   Logically Collective

1633:   Input Parameters:
1634: + v     - the vector
1635: - shift - the shift

1637:   Level: intermediate

1639: .seealso: `Vec`, `VecISShift()`
1640: @*/
1641: PetscErrorCode VecShift(Vec v, PetscScalar shift)
1642: {
1643:   PetscFunctionBegin;
1646:   PetscCall(VecSetErrorIfLocked(v, 1));
1647:   if (shift == (PetscScalar)0.0) PetscFunctionReturn(PETSC_SUCCESS);
1648:   PetscCall(PetscLogEventBegin(VEC_Shift, v, 0, 0, 0));
1649:   PetscCall(VecShiftAsync_Private(v, shift, NULL));
1650:   PetscCall(PetscLogEventEnd(VEC_Shift, v, 0, 0, 0));
1651:   PetscFunctionReturn(PETSC_SUCCESS);
1652: }

1654: /*@
1655:   VecPermute - Permutes a vector in place using the given ordering.

1657:   Input Parameters:
1658: + x   - The vector
1659: . row - The ordering
1660: - inv - The flag for inverting the permutation

1662:   Level: beginner

1664:   Note:
1665:   This function does not yet support parallel Index Sets with non-local permutations

1667: .seealso: `Vec`, `MatPermute()`
1668: @*/
1669: PetscErrorCode VecPermute(Vec x, IS row, PetscBool inv)
1670: {
1671:   PetscScalar    *array, *newArray;
1672:   const PetscInt *idx;
1673:   PetscInt        i, rstart, rend;

1675:   PetscFunctionBegin;
1678:   PetscCall(VecSetErrorIfLocked(x, 1));
1679:   PetscCall(VecGetOwnershipRange(x, &rstart, &rend));
1680:   PetscCall(ISGetIndices(row, &idx));
1681:   PetscCall(VecGetArray(x, &array));
1682:   PetscCall(PetscMalloc1(x->map->n, &newArray));
1683:   PetscCall(PetscArraycpy(newArray, array, x->map->n));
1684:   if (PetscDefined(USE_DEBUG)) {
1685:     for (i = 0; i < x->map->n; i++) PetscCheck(!(idx[i] < rstart) && !(idx[i] >= rend), PETSC_COMM_SELF, PETSC_ERR_ARG_CORRUPT, "Permutation index %" PetscInt_FMT " is out of bounds: %" PetscInt_FMT, i, idx[i]);
1686:   }
1687:   if (!inv) {
1688:     for (i = 0; i < x->map->n; i++) array[i] = newArray[idx[i] - rstart];
1689:   } else {
1690:     for (i = 0; i < x->map->n; i++) array[idx[i] - rstart] = newArray[i];
1691:   }
1692:   PetscCall(VecRestoreArray(x, &array));
1693:   PetscCall(ISRestoreIndices(row, &idx));
1694:   PetscCall(PetscFree(newArray));
1695:   PetscFunctionReturn(PETSC_SUCCESS);
1696: }

1698: /*@
1699:   VecEqual - Compares two vectors. Returns true if the two vectors are either pointing to the same memory buffer,
1700:   or if the two vectors have the same local and global layout as well as bitwise equality of all entries.
1701:   Does NOT take round-off errors into account.

1703:   Collective

1705:   Input Parameters:
1706: + vec1 - the first vector
1707: - vec2 - the second vector

1709:   Output Parameter:
1710: . flg - `PETSC_TRUE` if the vectors are equal; `PETSC_FALSE` otherwise.

1712:   Level: intermediate

1714: .seealso: `Vec`
1715: @*/
1716: PetscErrorCode VecEqual(Vec vec1, Vec vec2, PetscBool *flg)
1717: {
1718:   const PetscScalar *v1, *v2;
1719:   PetscInt           n1, n2, N1, N2;
1720:   PetscBool          flg1;

1722:   PetscFunctionBegin;
1725:   PetscAssertPointer(flg, 3);
1726:   if (vec1 == vec2) *flg = PETSC_TRUE;
1727:   else {
1728:     PetscCall(VecGetSize(vec1, &N1));
1729:     PetscCall(VecGetSize(vec2, &N2));
1730:     if (N1 != N2) flg1 = PETSC_FALSE;
1731:     else {
1732:       PetscCall(VecGetLocalSize(vec1, &n1));
1733:       PetscCall(VecGetLocalSize(vec2, &n2));
1734:       if (n1 != n2) flg1 = PETSC_FALSE;
1735:       else {
1736:         PetscCall(VecGetArrayRead(vec1, &v1));
1737:         PetscCall(VecGetArrayRead(vec2, &v2));
1738:         PetscCall(PetscArraycmp(v1, v2, n1, &flg1));
1739:         PetscCall(VecRestoreArrayRead(vec1, &v1));
1740:         PetscCall(VecRestoreArrayRead(vec2, &v2));
1741:       }
1742:     }
1743:     /* combine results from all processors */
1744:     PetscCallMPI(MPIU_Allreduce(&flg1, flg, 1, MPI_C_BOOL, MPI_LAND, PetscObjectComm((PetscObject)vec1)));
1745:   }
1746:   PetscFunctionReturn(PETSC_SUCCESS);
1747: }

1749: /*@
1750:   VecUniqueEntries - Compute the number of unique entries, and those entries

1752:   Collective

1754:   Input Parameter:
1755: . vec - the vector

1757:   Output Parameters:
1758: + n - The number of unique entries
1759: - e - The entries, each MPI process receives all the unique entries

1761:   Level: intermediate

1763: .seealso: `Vec`
1764: @*/
1765: PetscErrorCode VecUniqueEntries(Vec vec, PetscInt *n, PetscScalar *e[])
1766: {
1767:   const PetscScalar *v;
1768:   PetscScalar       *tmp, *vals;
1769:   PetscMPIInt       *N, *displs, l;
1770:   PetscInt           ng, m, i, j, p;
1771:   PetscMPIInt        size;

1773:   PetscFunctionBegin;
1775:   PetscAssertPointer(n, 2);
1776:   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)vec), &size));
1777:   PetscCall(VecGetLocalSize(vec, &m));
1778:   PetscCall(VecGetArrayRead(vec, &v));
1779:   PetscCall(PetscMalloc2(m, &tmp, size, &N));
1780:   for (i = 0, l = 0; i < m; ++i) {
1781:     /* Can speed this up with sorting */
1782:     for (j = 0; j < l; ++j) {
1783:       if (v[i] == tmp[j]) break;
1784:     }
1785:     if (j == l) {
1786:       tmp[j] = v[i];
1787:       ++l;
1788:     }
1789:   }
1790:   PetscCall(VecRestoreArrayRead(vec, &v));
1791:   /* Gather serial results */
1792:   PetscCallMPI(MPI_Allgather(&l, 1, MPI_INT, N, 1, MPI_INT, PetscObjectComm((PetscObject)vec)));
1793:   for (p = 0, ng = 0; p < size; ++p) ng += N[p];
1794:   PetscCall(PetscMalloc2(ng, &vals, size + 1, &displs));
1795:   for (p = 1, displs[0] = 0; p <= size; ++p) displs[p] = displs[p - 1] + N[p - 1];
1796:   PetscCallMPI(MPI_Allgatherv(tmp, l, MPIU_SCALAR, vals, N, displs, MPIU_SCALAR, PetscObjectComm((PetscObject)vec)));
1797:   /* Find unique entries */
1798: #ifdef PETSC_USE_COMPLEX
1799:   SETERRQ(PetscObjectComm((PetscObject)vec), PETSC_ERR_SUP, "Does not work with complex numbers");
1800: #else
1801:   *n = displs[size];
1802:   PetscCall(PetscSortRemoveDupsReal(n, vals));
1803:   if (e) {
1804:     PetscAssertPointer(e, 3);
1805:     PetscCall(PetscMalloc1(*n, e));
1806:     for (i = 0; i < *n; ++i) (*e)[i] = vals[i];
1807:   }
1808:   PetscCall(PetscFree2(vals, displs));
1809:   PetscCall(PetscFree2(tmp, N));
1810:   PetscFunctionReturn(PETSC_SUCCESS);
1811: #endif
1812: }