Actual source code: superlu_dist.c
1: /*
2: Provides an interface to the SuperLU_DIST sparse solver
3: */
5: #include <../src/mat/impls/aij/seq/aij.h>
6: #include <../src/mat/impls/aij/mpi/mpiaij.h>
7: #include <petscpkg_version.h>
9: PETSC_PRAGMA_DIAGNOSTIC_IGNORED_BEGIN("-Wundef")
10: EXTERN_C_BEGIN
11: #if defined(PETSC_USE_COMPLEX)
12: #define CASTDOUBLECOMPLEX (doublecomplex *)
13: #define CASTDOUBLECOMPLEXSTAR (doublecomplex **)
14: #include <superlu_zdefs.h>
15: #define LUstructInit zLUstructInit
16: #define ScalePermstructInit zScalePermstructInit
17: #define ScalePermstructFree zScalePermstructFree
18: #define LUstructFree zLUstructFree
19: #define Destroy_LU zDestroy_LU
20: #define ScalePermstruct_t zScalePermstruct_t
21: #define LUstruct_t zLUstruct_t
22: #define SOLVEstruct_t zSOLVEstruct_t
23: #define SolveFinalize zSolveFinalize
24: #define pGetDiagU pzGetDiagU
25: #define pgssvx pzgssvx
26: #define allocateA_dist zallocateA_dist
27: #define Create_CompRowLoc_Matrix_dist zCreate_CompRowLoc_Matrix_dist
28: #define SLU SLU_Z
29: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
30: #define DeAllocLlu_3d zDeAllocLlu_3d
31: #define DeAllocGlu_3d zDeAllocGlu_3d
32: #define Destroy_A3d_gathered_on_2d zDestroy_A3d_gathered_on_2d
33: #define pgssvx3d pzgssvx3d
34: #endif
35: #elif defined(PETSC_USE_REAL_SINGLE)
36: #define CASTDOUBLECOMPLEX
37: #define CASTDOUBLECOMPLEXSTAR
38: #include <superlu_sdefs.h>
39: #define LUstructInit sLUstructInit
40: #define ScalePermstructInit sScalePermstructInit
41: #define ScalePermstructFree sScalePermstructFree
42: #define LUstructFree sLUstructFree
43: #define Destroy_LU sDestroy_LU
44: #define ScalePermstruct_t sScalePermstruct_t
45: #define LUstruct_t sLUstruct_t
46: #define SOLVEstruct_t sSOLVEstruct_t
47: #define SolveFinalize sSolveFinalize
48: #define pGetDiagU psGetDiagU
49: #define pgssvx psgssvx
50: #define allocateA_dist sallocateA_dist
51: #define Create_CompRowLoc_Matrix_dist sCreate_CompRowLoc_Matrix_dist
52: #define SLU SLU_S
53: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
54: #define DeAllocLlu_3d sDeAllocLlu_3d
55: #define DeAllocGlu_3d sDeAllocGlu_3d
56: #define Destroy_A3d_gathered_on_2d sDestroy_A3d_gathered_on_2d
57: #define pgssvx3d psgssvx3d
58: #endif
59: #else
60: #define CASTDOUBLECOMPLEX
61: #define CASTDOUBLECOMPLEXSTAR
62: #include <superlu_ddefs.h>
63: #define LUstructInit dLUstructInit
64: #define ScalePermstructInit dScalePermstructInit
65: #define ScalePermstructFree dScalePermstructFree
66: #define LUstructFree dLUstructFree
67: #define Destroy_LU dDestroy_LU
68: #define ScalePermstruct_t dScalePermstruct_t
69: #define LUstruct_t dLUstruct_t
70: #define SOLVEstruct_t dSOLVEstruct_t
71: #define SolveFinalize dSolveFinalize
72: #define pGetDiagU pdGetDiagU
73: #define pgssvx pdgssvx
74: #define allocateA_dist dallocateA_dist
75: #define Create_CompRowLoc_Matrix_dist dCreate_CompRowLoc_Matrix_dist
76: #define SLU SLU_D
77: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
78: #define DeAllocLlu_3d dDeAllocLlu_3d
79: #define DeAllocGlu_3d dDeAllocGlu_3d
80: #define Destroy_A3d_gathered_on_2d dDestroy_A3d_gathered_on_2d
81: #define pgssvx3d pdgssvx3d
82: #endif
83: #endif
84: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
85: #include <superlu_sdefs.h>
86: #endif
87: EXTERN_C_END
88: PETSC_PRAGMA_DIAGNOSTIC_IGNORED_END()
90: typedef struct {
91: int_t nprow, npcol, *row, *col;
92: gridinfo_t grid;
93: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
94: PetscBool use3d;
95: int_t npdep; /* replication factor, must be power of two */
96: gridinfo3d_t grid3d;
97: #endif
98: superlu_dist_options_t options;
99: SuperMatrix A_sup;
100: ScalePermstruct_t ScalePermstruct;
101: LUstruct_t LUstruct;
102: int StatPrint;
103: SOLVEstruct_t SOLVEstruct;
104: fact_t FactPattern;
105: MPI_Comm comm_superlu;
106: PetscScalar *val;
107: PetscBool matsolve_iscalled, matmatsolve_iscalled;
108: PetscBool CleanUpSuperLU_Dist; /* Flag to clean up (non-global) SuperLU objects during Destroy */
109: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
110: sScalePermstruct_t sScalePermstruct;
111: sLUstruct_t sLUstruct;
112: sSOLVEstruct_t sSOLVEstruct;
113: float *sval;
114: PetscBool singleprecision; /* use single precision SuperLU_DIST from double precision PETSc */
115: float *sbptr;
116: #endif
117: } Mat_SuperLU_DIST;
119: static PetscErrorCode MatSuperluDistGetDiagU_SuperLU_DIST(Mat F, PetscScalar *diagU)
120: {
121: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)F->data;
123: PetscFunctionBegin;
124: PetscStackCallExternalVoid("SuperLU_DIST:pGetDiagU", pGetDiagU(F->rmap->N, &lu->LUstruct, &lu->grid, CASTDOUBLECOMPLEX diagU));
125: PetscFunctionReturn(PETSC_SUCCESS);
126: }
128: PetscErrorCode MatSuperluDistGetDiagU(Mat F, PetscScalar *diagU)
129: {
130: PetscFunctionBegin;
132: PetscTryMethod(F, "MatSuperluDistGetDiagU_C", (Mat, PetscScalar *), (F, diagU));
133: PetscFunctionReturn(PETSC_SUCCESS);
134: }
136: /* This allows reusing the Superlu_DIST communicator and grid when only a single SuperLU_DIST matrix is used at a time */
137: typedef struct {
138: MPI_Comm comm;
139: PetscBool busy;
140: gridinfo_t grid;
141: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
142: PetscBool use3d;
143: gridinfo3d_t grid3d;
144: #endif
145: } PetscSuperLU_DIST;
147: static PetscMPIInt Petsc_Superlu_dist_keyval = MPI_KEYVAL_INVALID;
149: PETSC_EXTERN PetscMPIInt MPIAPI Petsc_Superlu_dist_keyval_DeleteFn(MPI_Comm comm, PetscMPIInt keyval, void *attr_val, void *extra_state)
150: {
151: PetscSuperLU_DIST *context = (PetscSuperLU_DIST *)attr_val;
153: PetscFunctionBegin;
154: if (keyval != Petsc_Superlu_dist_keyval) SETERRMPI(PETSC_COMM_SELF, PETSC_ERR_ARG_CORRUPT, "Unexpected keyval");
155: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
156: if (context->use3d) {
157: PetscStackCallExternalVoid("SuperLU_DIST:superlu_gridexit3d", superlu_gridexit3d(&context->grid3d));
158: } else
159: #endif
160: PetscStackCallExternalVoid("SuperLU_DIST:superlu_gridexit", superlu_gridexit(&context->grid));
161: PetscCallMPI(MPI_Comm_free(&context->comm));
162: PetscCall(PetscFree(context));
163: PetscFunctionReturn(MPI_SUCCESS);
164: }
166: /*
167: Performs MPI_Comm_free_keyval() on Petsc_Superlu_dist_keyval but keeps the global variable for
168: users who do not destroy all PETSc objects before PetscFinalize().
170: The value Petsc_Superlu_dist_keyval is retained so that Petsc_Superlu_dist_keyval_DeleteFn()
171: can still check that the keyval associated with the MPI communicator is correct when the MPI
172: communicator is destroyed.
174: This is called in PetscFinalize()
175: */
176: static PetscErrorCode Petsc_Superlu_dist_keyval_free(void)
177: {
178: PetscMPIInt Petsc_Superlu_dist_keyval_temp = Petsc_Superlu_dist_keyval;
180: PetscFunctionBegin;
181: PetscCallMPI(MPI_Comm_free_keyval(&Petsc_Superlu_dist_keyval_temp));
182: PetscFunctionReturn(PETSC_SUCCESS);
183: }
185: static PetscErrorCode MatDestroy_SuperLU_DIST(Mat A)
186: {
187: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)A->data;
189: PetscFunctionBegin;
190: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
191: PetscCall(PetscFree(lu->sbptr));
192: #endif
193: if (lu->CleanUpSuperLU_Dist) {
194: /* Deallocate SuperLU_DIST storage */
195: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_CompRowLoc_Matrix_dist", Destroy_CompRowLoc_Matrix_dist(&lu->A_sup));
196: if (lu->options.SolveInitialized) {
197: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
198: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:SolveFinalize", sSolveFinalize(&lu->options, &lu->sSOLVEstruct));
199: else
200: #endif
201: PetscStackCallExternalVoid("SuperLU_DIST:SolveFinalize", SolveFinalize(&lu->options, &lu->SOLVEstruct));
202: }
203: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
204: if (lu->use3d) {
205: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
206: if (lu->singleprecision) {
207: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", sDestroy_LU(A->cmap->N, &lu->grid3d.grid2d, &lu->sLUstruct));
208: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_A3d_gathered_on_2d", sDestroy_A3d_gathered_on_2d(&lu->sSOLVEstruct, &lu->grid3d));
209: PetscStackCallExternalVoid("SuperLU_DIST:ScalePermstructFree", sScalePermstructFree(&lu->sScalePermstruct));
210: PetscStackCallExternalVoid("SuperLU_DIST:LUstructFree", sLUstructFree(&lu->sLUstruct));
211: } else
212: #endif
213: {
214: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", Destroy_LU(A->cmap->N, &lu->grid3d.grid2d, &lu->LUstruct));
215: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_A3d_gathered_on_2d", Destroy_A3d_gathered_on_2d(&lu->SOLVEstruct, &lu->grid3d));
216: PetscStackCallExternalVoid("SuperLU_DIST:ScalePermstructFree", ScalePermstructFree(&lu->ScalePermstruct));
217: PetscStackCallExternalVoid("SuperLU_DIST:LUstructFree", LUstructFree(&lu->LUstruct));
218: }
219: } else
220: #endif
221: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
222: if (lu->singleprecision) {
223: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", sDestroy_LU(A->cmap->N, &lu->grid, &lu->sLUstruct));
224: PetscStackCallExternalVoid("SuperLU_DIST:ScalePermstructFree", sScalePermstructFree(&lu->sScalePermstruct));
225: PetscStackCallExternalVoid("SuperLU_DIST:LUstructFree", sLUstructFree(&lu->sLUstruct));
226: } else
227: #endif
228: {
229: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", Destroy_LU(A->cmap->N, &lu->grid, &lu->LUstruct));
230: PetscStackCallExternalVoid("SuperLU_DIST:ScalePermstructFree", ScalePermstructFree(&lu->ScalePermstruct));
231: PetscStackCallExternalVoid("SuperLU_DIST:LUstructFree", LUstructFree(&lu->LUstruct));
232: }
233: /* Release the SuperLU_DIST process grid only if the matrix has its own copy, that is it is not in the communicator context */
234: if (lu->comm_superlu) {
235: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
236: if (lu->use3d) {
237: PetscStackCallExternalVoid("SuperLU_DIST:superlu_gridexit3d", superlu_gridexit3d(&lu->grid3d));
238: } else
239: #endif
240: PetscStackCallExternalVoid("SuperLU_DIST:superlu_gridexit", superlu_gridexit(&lu->grid));
241: }
242: }
243: /*
244: * We always need to release the communicator that was created in MatGetFactor_aij_superlu_dist.
245: * lu->CleanUpSuperLU_Dist was turned on in MatLUFactorSymbolic_SuperLU_DIST. There are some use
246: * cases where we only create a matrix but do not solve mat. In these cases, lu->CleanUpSuperLU_Dist
247: * is off, and the communicator was not released or marked as "not busy " in the old code.
248: * Here we try to release comm regardless.
249: */
250: if (lu->comm_superlu) {
251: PetscCall(PetscCommRestoreComm(PetscObjectComm((PetscObject)A), &lu->comm_superlu));
252: } else {
253: PetscSuperLU_DIST *context;
254: MPI_Comm comm;
255: PetscMPIInt flg;
257: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
258: PetscCallMPI(MPI_Comm_get_attr(comm, Petsc_Superlu_dist_keyval, &context, &flg));
259: if (flg) context->busy = PETSC_FALSE;
260: }
262: PetscCall(PetscFree(A->data));
263: /* clear composed functions */
264: PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatFactorGetSolverType_C", NULL));
265: PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSuperluDistGetDiagU_C", NULL));
266: PetscFunctionReturn(PETSC_SUCCESS);
267: }
269: static PetscErrorCode MatSolve_SuperLU_DIST(Mat A, Vec b_mpi, Vec x)
270: {
271: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)A->data;
272: PetscInt m = A->rmap->n;
273: SuperLUStat_t stat;
274: PetscReal berr[1];
275: PetscScalar *bptr = NULL;
276: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
277: float sberr[1];
278: #endif
279: int info; /* SuperLU_Dist info code is ALWAYS an int, even with long long indices */
280: static PetscBool cite = PETSC_FALSE;
282: PetscFunctionBegin;
283: PetscCheck(lu->options.Fact == FACTORED, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "SuperLU_DIST options.Fact must equal FACTORED");
284: PetscCall(PetscCitationsRegister("@article{lidemmel03,\n author = {Xiaoye S. Li and James W. Demmel},\n title = {{SuperLU_DIST}: A Scalable Distributed-Memory Sparse Direct\n Solver for Unsymmetric Linear Systems},\n journal = {ACM "
285: "Trans. Mathematical Software},\n volume = {29},\n number = {2},\n pages = {110-140},\n year = 2003\n}\n",
286: &cite));
288: if (lu->options.SolveInitialized && !lu->matsolve_iscalled) {
289: /* see comments in MatMatSolve() */
290: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
291: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:SolveFinalize", sSolveFinalize(&lu->options, &lu->sSOLVEstruct));
292: else
293: #endif
294: PetscStackCallExternalVoid("SuperLU_DIST:SolveFinalize", SolveFinalize(&lu->options, &lu->SOLVEstruct));
295: lu->options.SolveInitialized = NO;
296: }
297: PetscCall(VecCopy(b_mpi, x));
298: PetscCall(VecGetArray(x, &bptr));
299: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
300: if (lu->singleprecision) {
301: PetscInt n;
302: PetscCall(VecGetLocalSize(x, &n));
303: if (!lu->sbptr) PetscCall(PetscMalloc1(n, &lu->sbptr));
304: for (PetscInt i = 0; i < n; i++) lu->sbptr[i] = PetscRealPart(bptr[i]); /* PetscRealPart() is a no-op to allow compiling with complex */
305: }
306: #endif
308: PetscStackCallExternalVoid("SuperLU_DIST:PStatInit", PStatInit(&stat)); /* Initialize the statistics variables. */
309: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
310: if (lu->use3d) {
311: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
312: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:pgssvx3d", psgssvx3d(&lu->options, &lu->A_sup, &lu->sScalePermstruct, lu->sbptr, m, 1, &lu->grid3d, &lu->sLUstruct, &lu->sSOLVEstruct, sberr, &stat, &info));
313: else
314: #endif
315: PetscStackCallExternalVoid("SuperLU_DIST:pgssvx3d", pgssvx3d(&lu->options, &lu->A_sup, &lu->ScalePermstruct, CASTDOUBLECOMPLEX bptr, m, 1, &lu->grid3d, &lu->LUstruct, &lu->SOLVEstruct, berr, &stat, &info));
316: PetscCheck(!info, PETSC_COMM_SELF, PETSC_ERR_LIB, "pgssvx3d fails, info: %d", info);
317: } else
318: #endif
319: {
320: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
321: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:pgssvx", psgssvx(&lu->options, &lu->A_sup, &lu->sScalePermstruct, lu->sbptr, m, 1, &lu->grid, &lu->sLUstruct, &lu->sSOLVEstruct, sberr, &stat, &info));
322: else
323: #endif
324: PetscStackCallExternalVoid("SuperLU_DIST:pgssvx", pgssvx(&lu->options, &lu->A_sup, &lu->ScalePermstruct, CASTDOUBLECOMPLEX bptr, m, 1, &lu->grid, &lu->LUstruct, &lu->SOLVEstruct, berr, &stat, &info));
325: PetscCheck(!info, PETSC_COMM_SELF, PETSC_ERR_LIB, "pgssvx fails, info: %d", info);
326: }
327: if (lu->options.PrintStat) PetscStackCallExternalVoid("SuperLU_DIST:PStatPrint", PStatPrint(&lu->options, &stat, &lu->grid)); /* Print the statistics. */
328: PetscStackCallExternalVoid("SuperLU_DIST:PStatFree", PStatFree(&stat));
329: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
330: if (lu->singleprecision) {
331: PetscInt n;
332: PetscCall(VecGetLocalSize(x, &n));
333: for (PetscInt i = 0; i < n; i++) bptr[i] = lu->sbptr[i];
334: }
335: #endif
336: PetscCall(VecRestoreArray(x, &bptr));
337: lu->matsolve_iscalled = PETSC_TRUE;
338: lu->matmatsolve_iscalled = PETSC_FALSE;
339: PetscFunctionReturn(PETSC_SUCCESS);
340: }
342: static PetscErrorCode MatMatSolve_SuperLU_DIST(Mat A, Mat B_mpi, Mat X)
343: {
344: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)A->data;
345: PetscInt m = A->rmap->n, nrhs;
346: SuperLUStat_t stat;
347: PetscReal berr[1];
348: PetscScalar *bptr;
349: int info; /* SuperLU_Dist info code is ALWAYS an int, even with long long indices */
350: PetscBool flg;
352: PetscFunctionBegin;
353: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
354: PetscCheck(!lu->singleprecision, PetscObjectComm((PetscObject)A), PETSC_ERR_SUP, "Not for -pc_precision single");
355: #endif
356: PetscCheck(lu->options.Fact == FACTORED, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "SuperLU_DIST options.Fact must equal FACTORED");
357: PetscCall(PetscObjectTypeCompareAny((PetscObject)B_mpi, &flg, MATSEQDENSE, MATMPIDENSE, NULL));
358: PetscCheck(flg, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONG, "Matrix B must be MATDENSE matrix");
359: if (X != B_mpi) {
360: PetscCall(PetscObjectTypeCompareAny((PetscObject)X, &flg, MATSEQDENSE, MATMPIDENSE, NULL));
361: PetscCheck(flg, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONG, "Matrix X must be MATDENSE matrix");
362: }
364: if (lu->options.SolveInitialized && !lu->matmatsolve_iscalled) {
365: /* communication pattern of SOLVEstruct is unlikely created for matmatsolve,
366: thus destroy it and create a new SOLVEstruct.
367: Otherwise it may result in memory corruption or incorrect solution
368: See src/mat/tests/ex125.c */
369: PetscStackCallExternalVoid("SuperLU_DIST:SolveFinalize", SolveFinalize(&lu->options, &lu->SOLVEstruct));
370: lu->options.SolveInitialized = NO;
371: }
372: if (X != B_mpi) PetscCall(MatCopy(B_mpi, X, SAME_NONZERO_PATTERN));
374: PetscCall(MatGetSize(B_mpi, NULL, &nrhs));
376: PetscStackCallExternalVoid("SuperLU_DIST:PStatInit", PStatInit(&stat)); /* Initialize the statistics variables. */
377: PetscCall(MatDenseGetArray(X, &bptr));
379: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
380: if (lu->use3d) PetscStackCallExternalVoid("SuperLU_DIST:pgssvx3d", pgssvx3d(&lu->options, &lu->A_sup, &lu->ScalePermstruct, CASTDOUBLECOMPLEX bptr, m, nrhs, &lu->grid3d, &lu->LUstruct, &lu->SOLVEstruct, berr, &stat, &info));
381: else
382: #endif
383: PetscStackCallExternalVoid("SuperLU_DIST:pgssvx", pgssvx(&lu->options, &lu->A_sup, &lu->ScalePermstruct, CASTDOUBLECOMPLEX bptr, m, nrhs, &lu->grid, &lu->LUstruct, &lu->SOLVEstruct, berr, &stat, &info));
384: PetscCheck(!info, PETSC_COMM_SELF, PETSC_ERR_LIB, "pdgssvx fails, info: %d", info);
385: PetscCall(MatDenseRestoreArray(X, &bptr));
387: if (lu->options.PrintStat) PetscStackCallExternalVoid("SuperLU_DIST:PStatPrint", PStatPrint(&lu->options, &stat, &lu->grid)); /* Print the statistics. */
388: PetscStackCallExternalVoid("SuperLU_DIST:PStatFree", PStatFree(&stat));
389: lu->matsolve_iscalled = PETSC_FALSE;
390: lu->matmatsolve_iscalled = PETSC_TRUE;
391: PetscFunctionReturn(PETSC_SUCCESS);
392: }
394: /*
395: input:
396: F: numeric Cholesky factor
397: output:
398: nneg: total number of negative pivots
399: nzero: total number of zero pivots
400: npos: (global dimension of F) - nneg - nzero
401: */
402: static PetscErrorCode MatGetInertia_SuperLU_DIST(Mat F, PetscInt *nneg, PetscInt *nzero, PetscInt *npos)
403: {
404: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)F->data;
405: PetscScalar *diagU = NULL;
406: PetscInt M, i, neg = 0, zero = 0, pos = 0;
407: PetscReal r;
409: PetscFunctionBegin;
410: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
411: PetscCheck(!lu->singleprecision, PetscObjectComm((PetscObject)F), PETSC_ERR_SUP, "Not for -pc_precision single");
412: #endif
413: PetscCheck(F->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Matrix factor F is not assembled");
414: PetscCheck(lu->options.RowPerm == NOROWPERM, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Must set NOROWPERM");
415: PetscCall(MatGetSize(F, &M, NULL));
416: PetscCall(PetscMalloc1(M, &diagU));
417: PetscCall(MatSuperluDistGetDiagU(F, diagU));
418: for (i = 0; i < M; i++) {
419: #if defined(PETSC_USE_COMPLEX)
420: r = PetscImaginaryPart(diagU[i]) / 10.0;
421: PetscCheck(r > -PETSC_MACHINE_EPSILON && r < PETSC_MACHINE_EPSILON, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "diagU[%" PetscInt_FMT "]=%g + i %g is non-real", i, (double)PetscRealPart(diagU[i]), (double)(r * 10.0));
422: r = PetscRealPart(diagU[i]);
423: #else
424: r = diagU[i];
425: #endif
426: if (r > 0) {
427: pos++;
428: } else if (r < 0) {
429: neg++;
430: } else zero++;
431: }
433: PetscCall(PetscFree(diagU));
434: if (nneg) *nneg = neg;
435: if (nzero) *nzero = zero;
436: if (npos) *npos = pos;
437: PetscFunctionReturn(PETSC_SUCCESS);
438: }
440: static PetscErrorCode MatLUFactorNumeric_SuperLU_DIST(Mat F, Mat A, const MatFactorInfo *info)
441: {
442: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)F->data;
443: Mat Aloc;
444: const PetscScalar *av;
445: const PetscInt *ai = NULL, *aj = NULL;
446: PetscInt nz, dummy;
447: int sinfo; /* SuperLU_Dist info flag is always an int even with long long indices */
448: SuperLUStat_t stat;
449: PetscReal *berr = 0;
450: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
451: float *sberr = 0;
452: #endif
453: PetscBool ismpiaij, isseqaij, flg;
455: PetscFunctionBegin;
456: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &isseqaij));
457: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATMPIAIJ, &ismpiaij));
458: if (ismpiaij) {
459: PetscCall(MatMPIAIJGetLocalMat(A, MAT_INITIAL_MATRIX, &Aloc));
460: } else if (isseqaij) {
461: PetscCall(PetscObjectReference((PetscObject)A));
462: Aloc = A;
463: } else SETERRQ(PetscObjectComm((PetscObject)A), PETSC_ERR_SUP, "Not for type %s", ((PetscObject)A)->type_name);
465: PetscCall(MatGetRowIJ(Aloc, 0, PETSC_FALSE, PETSC_FALSE, &dummy, &ai, &aj, &flg));
466: PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_SUP, "GetRowIJ failed");
467: PetscCall(MatSeqAIJGetArrayRead(Aloc, &av));
468: nz = ai[Aloc->rmap->n];
470: /* Allocations for A_sup */
471: if (lu->options.Fact == DOFACT) { /* first numeric factorization */
472: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
473: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:allocateA_dist", sallocateA_dist(Aloc->rmap->n, nz, &lu->sval, &lu->col, &lu->row));
474: else
475: #endif
476: PetscStackCallExternalVoid("SuperLU_DIST:allocateA_dist", allocateA_dist(Aloc->rmap->n, nz, CASTDOUBLECOMPLEXSTAR & lu->val, &lu->col, &lu->row));
477: } else { /* successive numeric factorization, sparsity pattern and perm_c are reused. */
478: if (lu->FactPattern == SamePattern_SameRowPerm) {
479: lu->options.Fact = SamePattern_SameRowPerm; /* matrix has similar numerical values */
480: } else if (lu->FactPattern == SamePattern) {
481: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
482: if (lu->use3d) {
483: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
484: if (lu->singleprecision) {
485: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", sDestroy_LU(A->cmap->N, &lu->grid3d.grid2d, &lu->sLUstruct));
486: PetscStackCallExternalVoid("SuperLU_DIST:SolveFinalize", sSolveFinalize(&lu->options, &lu->sSOLVEstruct));
487: } else
488: #endif
489: {
490: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", Destroy_LU(A->cmap->N, &lu->grid3d.grid2d, &lu->LUstruct));
491: PetscStackCallExternalVoid("SuperLU_DIST:SolveFinalize", SolveFinalize(&lu->options, &lu->SOLVEstruct));
492: }
493: } else
494: #endif
495: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
496: if (lu->singleprecision)
497: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", sDestroy_LU(A->rmap->N, &lu->grid, &lu->sLUstruct));
498: else
499: #endif
500: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", Destroy_LU(A->rmap->N, &lu->grid, &lu->LUstruct));
501: lu->options.Fact = SamePattern;
502: } else if (lu->FactPattern == DOFACT) {
503: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_CompRowLoc_Matrix_dist", Destroy_CompRowLoc_Matrix_dist(&lu->A_sup));
504: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
505: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", sDestroy_LU(A->rmap->N, &lu->grid, &lu->sLUstruct));
506: else
507: #endif
508: PetscStackCallExternalVoid("SuperLU_DIST:Destroy_LU", Destroy_LU(A->rmap->N, &lu->grid, &lu->LUstruct));
509: lu->options.Fact = DOFACT;
510: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
511: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:allocateA_dist", sallocateA_dist(Aloc->rmap->n, nz, &lu->sval, &lu->col, &lu->row));
512: else
513: #endif
514: PetscStackCallExternalVoid("SuperLU_DIST:allocateA_dist", allocateA_dist(Aloc->rmap->n, nz, CASTDOUBLECOMPLEXSTAR & lu->val, &lu->col, &lu->row));
515: } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "options.Fact must be one of SamePattern SamePattern_SameRowPerm DOFACT");
516: }
518: /* Copy AIJ matrix to superlu_dist matrix */
519: PetscCall(PetscArraycpy(lu->row, ai, Aloc->rmap->n + 1));
520: PetscCall(PetscArraycpy(lu->col, aj, nz));
521: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
522: if (lu->singleprecision)
523: for (PetscInt i = 0; i < nz; i++) lu->sval[i] = PetscRealPart(av[i]); /* PetscRealPart() is a no-op to allow compiling with complex */
524: else
525: #endif
526: PetscCall(PetscArraycpy(lu->val, av, nz));
527: PetscCall(MatRestoreRowIJ(Aloc, 0, PETSC_FALSE, PETSC_FALSE, &dummy, &ai, &aj, &flg));
528: PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_SUP, "RestoreRowIJ failed");
529: PetscCall(MatSeqAIJRestoreArrayRead(Aloc, &av));
530: PetscCall(MatDestroy(&Aloc));
532: /* Create and setup A_sup */
533: if (lu->options.Fact == DOFACT) {
534: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
535: if (lu->singleprecision)
536: PetscStackCallExternalVoid("SuperLU_DIST:Create_CompRowLoc_Matrix_dist", sCreate_CompRowLoc_Matrix_dist(&lu->A_sup, A->rmap->N, A->cmap->N, nz, A->rmap->n, A->rmap->rstart, lu->sval, lu->col, lu->row, SLU_NR_loc, SLU_S, SLU_GE));
537: else
538: #endif
539: PetscStackCallExternalVoid("SuperLU_DIST:Create_CompRowLoc_Matrix_dist", Create_CompRowLoc_Matrix_dist(&lu->A_sup, A->rmap->N, A->cmap->N, nz, A->rmap->n, A->rmap->rstart, CASTDOUBLECOMPLEX lu->val, lu->col, lu->row, SLU_NR_loc, SLU, SLU_GE));
540: }
542: /* Factor the matrix. */
543: PetscStackCallExternalVoid("SuperLU_DIST:PStatInit", PStatInit(&stat)); /* Initialize the statistics variables. */
544: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
545: if (lu->use3d) {
546: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
547: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:pgssvx3d", psgssvx3d(&lu->options, &lu->A_sup, &lu->sScalePermstruct, 0, A->rmap->n, 0, &lu->grid3d, &lu->sLUstruct, &lu->sSOLVEstruct, sberr, &stat, &sinfo));
548: else
549: #endif
550: PetscStackCallExternalVoid("SuperLU_DIST:pgssvx3d", pgssvx3d(&lu->options, &lu->A_sup, &lu->ScalePermstruct, 0, A->rmap->n, 0, &lu->grid3d, &lu->LUstruct, &lu->SOLVEstruct, berr, &stat, &sinfo));
551: } else
552: #endif
553: {
554: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
555: if (lu->singleprecision) PetscStackCallExternalVoid("SuperLU_DIST:pgssvx", psgssvx(&lu->options, &lu->A_sup, &lu->sScalePermstruct, 0, A->rmap->n, 0, &lu->grid, &lu->sLUstruct, &lu->sSOLVEstruct, sberr, &stat, &sinfo));
556: else
557: #endif
558: PetscStackCallExternalVoid("SuperLU_DIST:pgssvx", pgssvx(&lu->options, &lu->A_sup, &lu->ScalePermstruct, 0, A->rmap->n, 0, &lu->grid, &lu->LUstruct, &lu->SOLVEstruct, berr, &stat, &sinfo));
559: }
560: if (sinfo > 0) {
561: PetscCheck(!A->erroriffailure, PETSC_COMM_SELF, PETSC_ERR_MAT_LU_ZRPVT, "Zero pivot in row %d", sinfo);
562: if (sinfo <= lu->A_sup.ncol) {
563: F->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
564: PetscCall(PetscInfo(F, "U(i,i) is exactly zero, i= %d\n", sinfo));
565: } else if (sinfo > lu->A_sup.ncol) {
566: /*
567: number of bytes allocated when memory allocation
568: failure occurred, plus A->ncol.
569: */
570: F->factorerrortype = MAT_FACTOR_OUTMEMORY;
571: PetscCall(PetscInfo(F, "Number of bytes allocated when memory allocation fails %d\n", sinfo));
572: }
573: } else PetscCheck(sinfo >= 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "info = %d, argument in p*gssvx() had an illegal value", sinfo);
575: if (lu->options.PrintStat) { PetscStackCallExternalVoid("SuperLU_DIST:PStatPrint", PStatPrint(&lu->options, &stat, &lu->grid)); /* Print the statistics. */ }
576: PetscStackCallExternalVoid("SuperLU_DIST:PStatFree", PStatFree(&stat));
577: F->assembled = PETSC_TRUE;
578: F->preallocated = PETSC_TRUE;
579: lu->options.Fact = FACTORED; /* The factored form of A is supplied. Local option used by this func. only */
580: PetscFunctionReturn(PETSC_SUCCESS);
581: }
583: /* Note the Petsc r and c permutations are ignored */
584: static PetscErrorCode MatLUFactorSymbolic_SuperLU_DIST(Mat F, Mat A, IS r, IS c, const MatFactorInfo *info)
585: {
586: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)F->data;
587: PetscInt M = A->rmap->N, N = A->cmap->N, indx;
588: PetscMPIInt size, mpiflg;
589: PetscBool flg, set;
590: const char *colperm[] = {"NATURAL", "MMD_AT_PLUS_A", "MMD_ATA", "METIS_AT_PLUS_A", "PARMETIS"};
591: const char *rowperm[] = {"NOROWPERM", "LargeDiag_MC64", "LargeDiag_AWPM", "MY_PERMR"};
592: const char *factPattern[] = {"SamePattern", "SamePattern_SameRowPerm", "DOFACT"};
593: MPI_Comm comm;
594: PetscSuperLU_DIST *context = NULL;
596: PetscFunctionBegin;
597: /* Set options to F */
598: PetscCall(PetscObjectGetComm((PetscObject)F, &comm));
599: PetscCallMPI(MPI_Comm_size(comm, &size));
601: PetscOptionsBegin(PetscObjectComm((PetscObject)F), ((PetscObject)F)->prefix, "SuperLU_Dist Options", "Mat");
602: PetscCall(PetscOptionsBool("-mat_superlu_dist_equil", "Equilibrate matrix", "None", lu->options.Equil ? PETSC_TRUE : PETSC_FALSE, &flg, &set));
603: if (set && !flg) lu->options.Equil = NO;
605: PetscCall(PetscOptionsEList("-mat_superlu_dist_rowperm", "Row permutation", "None", rowperm, 4, rowperm[1], &indx, &flg));
606: if (flg) {
607: switch (indx) {
608: case 0:
609: lu->options.RowPerm = NOROWPERM;
610: break;
611: case 1:
612: lu->options.RowPerm = LargeDiag_MC64;
613: break;
614: case 2:
615: lu->options.RowPerm = LargeDiag_AWPM;
616: break;
617: case 3:
618: lu->options.RowPerm = MY_PERMR;
619: break;
620: default:
621: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown row permutation");
622: }
623: }
625: PetscCall(PetscOptionsEList("-mat_superlu_dist_colperm", "Column permutation", "None", colperm, 5, colperm[3], &indx, &flg));
626: if (flg) {
627: switch (indx) {
628: case 0:
629: lu->options.ColPerm = NATURAL;
630: break;
631: case 1:
632: lu->options.ColPerm = MMD_AT_PLUS_A;
633: break;
634: case 2:
635: lu->options.ColPerm = MMD_ATA;
636: break;
637: case 3:
638: lu->options.ColPerm = METIS_AT_PLUS_A;
639: break;
640: case 4:
641: lu->options.ColPerm = PARMETIS; /* only works for np>1 */
642: break;
643: default:
644: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown column permutation");
645: }
646: }
648: lu->options.ReplaceTinyPivot = NO;
649: PetscCall(PetscOptionsBool("-mat_superlu_dist_replacetinypivot", "Replace tiny pivots", "None", lu->options.ReplaceTinyPivot ? PETSC_TRUE : PETSC_FALSE, &flg, &set));
650: if (set && flg) lu->options.ReplaceTinyPivot = YES;
652: lu->options.ParSymbFact = NO;
653: PetscCall(PetscOptionsBool("-mat_superlu_dist_parsymbfact", "Parallel symbolic factorization", "None", PETSC_FALSE, &flg, &set));
654: if (set && flg && size > 1) {
655: #if defined(PETSC_HAVE_PARMETIS)
656: lu->options.ParSymbFact = YES;
657: lu->options.ColPerm = PARMETIS; /* in v2.2, PARMETIS is forced for ParSymbFact regardless of user ordering setting */
658: #else
659: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "parsymbfact needs PARMETIS");
660: #endif
661: }
663: lu->FactPattern = SamePattern;
664: PetscCall(PetscOptionsEList("-mat_superlu_dist_fact", "Sparsity pattern for repeated matrix factorization", "None", factPattern, 3, factPattern[0], &indx, &flg));
665: if (flg) {
666: switch (indx) {
667: case 0:
668: lu->FactPattern = SamePattern;
669: break;
670: case 1:
671: lu->FactPattern = SamePattern_SameRowPerm;
672: break;
673: case 2:
674: lu->FactPattern = DOFACT;
675: break;
676: }
677: }
679: lu->options.IterRefine = NOREFINE;
680: PetscCall(PetscOptionsBool("-mat_superlu_dist_iterrefine", "Use iterative refinement", "None", lu->options.IterRefine == NOREFINE ? PETSC_FALSE : PETSC_TRUE, &flg, &set));
681: if (set) {
682: if (flg) lu->options.IterRefine = SLU_DOUBLE;
683: else lu->options.IterRefine = NOREFINE;
684: }
686: if (PetscLogPrintInfo) lu->options.PrintStat = YES;
687: else lu->options.PrintStat = NO;
688: PetscCall(PetscOptionsDeprecated("-mat_superlu_dist_statprint", "-mat_superlu_dist_printstat", "3.19", NULL));
689: PetscCall(PetscOptionsBool("-mat_superlu_dist_printstat", "Print factorization information", "None", (PetscBool)lu->options.PrintStat, (PetscBool *)&lu->options.PrintStat, NULL));
691: PetscCallMPI(MPI_Comm_get_attr(comm, Petsc_Superlu_dist_keyval, &context, &mpiflg));
692: if (!mpiflg || context->busy) { /* additional options */
693: if (!mpiflg) {
694: PetscCall(PetscNew(&context));
695: context->busy = PETSC_TRUE;
696: PetscCallMPI(MPI_Comm_dup(comm, &context->comm));
697: PetscCallMPI(MPI_Comm_set_attr(comm, Petsc_Superlu_dist_keyval, context));
698: } else {
699: PetscCall(PetscCommGetComm(PetscObjectComm((PetscObject)A), &lu->comm_superlu));
700: }
702: /* Default number of process columns and rows */
703: lu->nprow = (int_t)(0.5 + PetscSqrtReal((PetscReal)size));
704: if (!lu->nprow) lu->nprow = 1;
705: while (lu->nprow > 0) {
706: lu->npcol = (int_t)(size / lu->nprow);
707: if (size == lu->nprow * lu->npcol) break;
708: lu->nprow--;
709: }
710: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
711: lu->use3d = PETSC_FALSE;
712: lu->npdep = 1;
713: #endif
715: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
716: PetscCall(PetscOptionsBool("-mat_superlu_dist_3d", "Use SuperLU_DIST 3D distribution", "None", lu->use3d, &lu->use3d, NULL));
717: if (lu->use3d) {
718: PetscInt t;
719: PetscCall(PetscOptionsInt("-mat_superlu_dist_d", "Number of z entries in processor partition", "None", lu->npdep, (PetscInt *)&lu->npdep, NULL));
720: t = (PetscInt)PetscLog2Real((PetscReal)lu->npdep);
721: PetscCheck(PetscPowInt(2, t) == lu->npdep, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_OUTOFRANGE, "-mat_superlu_dist_d %lld must be a power of 2", (long long)lu->npdep);
722: if (lu->npdep > 1) {
723: lu->nprow = (int_t)(0.5 + PetscSqrtReal((PetscReal)(size / lu->npdep)));
724: if (!lu->nprow) lu->nprow = 1;
725: while (lu->nprow > 0) {
726: lu->npcol = (int_t)(size / (lu->npdep * lu->nprow));
727: if (size == lu->nprow * lu->npcol * lu->npdep) break;
728: lu->nprow--;
729: }
730: }
731: }
732: #endif
733: PetscCall(PetscOptionsInt("-mat_superlu_dist_r", "Number rows in processor partition", "None", lu->nprow, (PetscInt *)&lu->nprow, NULL));
734: PetscCall(PetscOptionsInt("-mat_superlu_dist_c", "Number columns in processor partition", "None", lu->npcol, (PetscInt *)&lu->npcol, NULL));
735: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
736: PetscCheck(size == lu->nprow * lu->npcol * lu->npdep, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Number of processes %d must equal to nprow %lld * npcol %lld * npdep %lld", size, (long long)lu->nprow, (long long)lu->npcol, (long long)lu->npdep);
737: #else
738: PetscCheck(size == lu->nprow * lu->npcol, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Number of processes %d must equal to nprow %lld * npcol %lld", size, (long long)lu->nprow, (long long)lu->npcol);
739: #endif
740: /* end of adding additional options */
742: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
743: if (lu->use3d) {
744: PetscStackCallExternalVoid("SuperLU_DIST:superlu_gridinit3d", superlu_gridinit3d(context ? context->comm : lu->comm_superlu, lu->nprow, lu->npcol, lu->npdep, &lu->grid3d));
745: if (context) {
746: context->grid3d = lu->grid3d;
747: context->use3d = lu->use3d;
748: }
749: } else {
750: #endif
751: PetscStackCallExternalVoid("SuperLU_DIST:superlu_gridinit", superlu_gridinit(context ? context->comm : lu->comm_superlu, lu->nprow, lu->npcol, &lu->grid));
752: if (context) context->grid = lu->grid;
753: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
754: }
755: #endif
756: PetscCall(PetscInfo(NULL, "Duplicating a communicator for SuperLU_DIST and calling superlu_gridinit()\n"));
757: if (mpiflg) {
758: PetscCall(PetscInfo(NULL, "Communicator attribute already in use so not saving communicator and SuperLU_DIST grid in communicator attribute \n"));
759: } else {
760: PetscCall(PetscInfo(NULL, "Storing communicator and SuperLU_DIST grid in communicator attribute\n"));
761: }
762: } else { /* (mpiflg && !context->busy) */
763: PetscCall(PetscInfo(NULL, "Reusing communicator and superlu_gridinit() for SuperLU_DIST from communicator attribute.\n"));
764: context->busy = PETSC_TRUE;
765: lu->grid = context->grid;
766: }
767: PetscOptionsEnd();
769: /* Initialize ScalePermstruct and LUstruct. */
770: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
771: if (lu->singleprecision) {
772: PetscStackCallExternalVoid("SuperLU_DIST:ScalePermstructInit", sScalePermstructInit(M, N, &lu->sScalePermstruct));
773: PetscStackCallExternalVoid("SuperLU_DIST:LUstructInit", sLUstructInit(N, &lu->sLUstruct));
774: } else
775: #endif
776: {
777: PetscStackCallExternalVoid("SuperLU_DIST:ScalePermstructInit", ScalePermstructInit(M, N, &lu->ScalePermstruct));
778: PetscStackCallExternalVoid("SuperLU_DIST:LUstructInit", LUstructInit(N, &lu->LUstruct));
779: }
780: F->ops->lufactornumeric = MatLUFactorNumeric_SuperLU_DIST;
781: F->ops->solve = MatSolve_SuperLU_DIST;
782: F->ops->matsolve = MatMatSolve_SuperLU_DIST;
783: F->ops->getinertia = NULL;
785: if (A->symmetric == PETSC_BOOL3_TRUE || A->hermitian == PETSC_BOOL3_TRUE) F->ops->getinertia = MatGetInertia_SuperLU_DIST;
786: lu->CleanUpSuperLU_Dist = PETSC_TRUE;
787: PetscFunctionReturn(PETSC_SUCCESS);
788: }
790: static PetscErrorCode MatCholeskyFactorSymbolic_SuperLU_DIST(Mat F, Mat A, IS r, const MatFactorInfo *info)
791: {
792: PetscFunctionBegin;
793: PetscCall(MatLUFactorSymbolic_SuperLU_DIST(F, A, r, r, info));
794: F->ops->choleskyfactornumeric = MatLUFactorNumeric_SuperLU_DIST;
795: PetscFunctionReturn(PETSC_SUCCESS);
796: }
798: static PetscErrorCode MatFactorGetSolverType_aij_superlu_dist(Mat A, MatSolverType *type)
799: {
800: PetscFunctionBegin;
801: *type = MATSOLVERSUPERLU_DIST;
802: PetscFunctionReturn(PETSC_SUCCESS);
803: }
805: static PetscErrorCode MatView_Info_SuperLU_DIST(Mat A, PetscViewer viewer)
806: {
807: Mat_SuperLU_DIST *lu = (Mat_SuperLU_DIST *)A->data;
808: superlu_dist_options_t options;
810: PetscFunctionBegin;
811: /* check if matrix is superlu_dist type */
812: if (A->ops->solve != MatSolve_SuperLU_DIST) PetscFunctionReturn(PETSC_SUCCESS);
814: options = lu->options;
815: PetscCall(PetscViewerASCIIPrintf(viewer, "SuperLU_DIST run parameters:\n"));
816: /* would love to use superlu 'IFMT' macro but it looks like it's inconsistently applied, the
817: * format spec for int64_t is set to %d for whatever reason */
818: PetscCall(PetscViewerASCIIPrintf(viewer, " Process grid nprow %lld x npcol %lld \n", (long long)lu->nprow, (long long)lu->npcol));
819: #if PETSC_PKG_SUPERLU_DIST_VERSION_GE(9, 0, 0)
820: if (lu->use3d) PetscCall(PetscViewerASCIIPrintf(viewer, " Using 3d decomposition with npdep %lld \n", (long long)lu->npdep));
821: #endif
823: PetscCall(PetscViewerASCIIPrintf(viewer, " Equilibrate matrix %s \n", PetscBools[options.Equil != NO]));
824: PetscCall(PetscViewerASCIIPrintf(viewer, " Replace tiny pivots %s \n", PetscBools[options.ReplaceTinyPivot != NO]));
825: PetscCall(PetscViewerASCIIPrintf(viewer, " Use iterative refinement %s \n", PetscBools[options.IterRefine == SLU_DOUBLE]));
826: PetscCall(PetscViewerASCIIPrintf(viewer, " Processors in row %lld col partition %lld \n", (long long)lu->nprow, (long long)lu->npcol));
828: switch (options.RowPerm) {
829: case NOROWPERM:
830: PetscCall(PetscViewerASCIIPrintf(viewer, " Row permutation NOROWPERM\n"));
831: break;
832: case LargeDiag_MC64:
833: PetscCall(PetscViewerASCIIPrintf(viewer, " Row permutation LargeDiag_MC64\n"));
834: break;
835: case LargeDiag_AWPM:
836: PetscCall(PetscViewerASCIIPrintf(viewer, " Row permutation LargeDiag_AWPM\n"));
837: break;
838: case MY_PERMR:
839: PetscCall(PetscViewerASCIIPrintf(viewer, " Row permutation MY_PERMR\n"));
840: break;
841: default:
842: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown column permutation");
843: }
845: switch (options.ColPerm) {
846: case NATURAL:
847: PetscCall(PetscViewerASCIIPrintf(viewer, " Column permutation NATURAL\n"));
848: break;
849: case MMD_AT_PLUS_A:
850: PetscCall(PetscViewerASCIIPrintf(viewer, " Column permutation MMD_AT_PLUS_A\n"));
851: break;
852: case MMD_ATA:
853: PetscCall(PetscViewerASCIIPrintf(viewer, " Column permutation MMD_ATA\n"));
854: break;
855: /* Even though this is called METIS, the SuperLU_DIST code sets this by default if PARMETIS is defined, not METIS */
856: case METIS_AT_PLUS_A:
857: PetscCall(PetscViewerASCIIPrintf(viewer, " Column permutation METIS_AT_PLUS_A\n"));
858: break;
859: case PARMETIS:
860: PetscCall(PetscViewerASCIIPrintf(viewer, " Column permutation PARMETIS\n"));
861: break;
862: default:
863: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown column permutation");
864: }
866: PetscCall(PetscViewerASCIIPrintf(viewer, " Parallel symbolic factorization %s \n", PetscBools[options.ParSymbFact != NO]));
868: if (lu->FactPattern == SamePattern) {
869: PetscCall(PetscViewerASCIIPrintf(viewer, " Repeated factorization SamePattern\n"));
870: } else if (lu->FactPattern == SamePattern_SameRowPerm) {
871: PetscCall(PetscViewerASCIIPrintf(viewer, " Repeated factorization SamePattern_SameRowPerm\n"));
872: } else if (lu->FactPattern == DOFACT) {
873: PetscCall(PetscViewerASCIIPrintf(viewer, " Repeated factorization DOFACT\n"));
874: } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown factorization pattern");
875: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
876: if (lu->singleprecision) PetscCall(PetscViewerASCIIPrintf(viewer, " Using SuperLU_DIST in single precision\n"));
877: #endif
878: PetscFunctionReturn(PETSC_SUCCESS);
879: }
881: static PetscErrorCode MatView_SuperLU_DIST(Mat A, PetscViewer viewer)
882: {
883: PetscBool iascii;
884: PetscViewerFormat format;
886: PetscFunctionBegin;
887: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
888: if (iascii) {
889: PetscCall(PetscViewerGetFormat(viewer, &format));
890: if (format == PETSC_VIEWER_ASCII_INFO) PetscCall(MatView_Info_SuperLU_DIST(A, viewer));
891: }
892: PetscFunctionReturn(PETSC_SUCCESS);
893: }
895: static PetscErrorCode MatGetFactor_aij_superlu_dist(Mat A, MatFactorType ftype, Mat *F)
896: {
897: Mat B;
898: Mat_SuperLU_DIST *lu;
899: PetscInt M = A->rmap->N, N = A->cmap->N;
900: PetscMPIInt size;
901: superlu_dist_options_t options;
902: PetscBool flg;
903: char string[16];
905: PetscFunctionBegin;
906: /* Create the factorization matrix */
907: PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
908: PetscCall(MatSetSizes(B, A->rmap->n, A->cmap->n, M, N));
909: PetscCall(PetscStrallocpy("superlu_dist", &((PetscObject)B)->type_name));
910: PetscCall(MatSetUp(B));
911: B->ops->getinfo = MatGetInfo_External;
912: B->ops->view = MatView_SuperLU_DIST;
913: B->ops->destroy = MatDestroy_SuperLU_DIST;
915: /* Set the default input options:
916: options.Fact = DOFACT;
917: options.Equil = YES;
918: options.ParSymbFact = NO;
919: options.ColPerm = METIS_AT_PLUS_A;
920: options.RowPerm = LargeDiag_MC64;
921: options.ReplaceTinyPivot = YES;
922: options.IterRefine = DOUBLE;
923: options.Trans = NOTRANS;
924: options.SolveInitialized = NO; -hold the communication pattern used MatSolve() and MatMatSolve()
925: options.RefineInitialized = NO;
926: options.PrintStat = YES;
927: options.SymPattern = NO;
928: */
929: set_default_options_dist(&options);
931: B->trivialsymbolic = PETSC_TRUE;
932: if (ftype == MAT_FACTOR_LU) {
933: B->factortype = MAT_FACTOR_LU;
934: B->ops->lufactorsymbolic = MatLUFactorSymbolic_SuperLU_DIST;
935: } else {
936: B->factortype = MAT_FACTOR_CHOLESKY;
937: B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_SuperLU_DIST;
938: options.SymPattern = YES;
939: }
941: /* set solvertype */
942: PetscCall(PetscFree(B->solvertype));
943: PetscCall(PetscStrallocpy(MATSOLVERSUPERLU_DIST, &B->solvertype));
945: PetscCall(PetscNew(&lu));
946: B->data = lu;
947: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)A), &size));
949: lu->options = options;
950: lu->options.Fact = DOFACT;
951: lu->matsolve_iscalled = PETSC_FALSE;
952: lu->matmatsolve_iscalled = PETSC_FALSE;
954: PetscCall(PetscOptionsGetString(NULL, NULL, "-pc_precision", string, sizeof(string), &flg));
955: if (flg) {
956: PetscCall(PetscStrcasecmp(string, "single", &flg));
957: PetscCheck(flg, PetscObjectComm((PetscObject)A), PETSC_ERR_USER_INPUT, "-pc_precision only accepts single as option for SuperLU_DIST");
958: #if defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
959: lu->singleprecision = PETSC_TRUE;
960: #endif
961: }
963: PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatFactorGetSolverType_C", MatFactorGetSolverType_aij_superlu_dist));
964: PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSuperluDistGetDiagU_C", MatSuperluDistGetDiagU_SuperLU_DIST));
966: *F = B;
967: PetscFunctionReturn(PETSC_SUCCESS);
968: }
970: PETSC_INTERN PetscErrorCode MatSolverTypeRegister_SuperLU_DIST(void)
971: {
972: PetscFunctionBegin;
973: PetscCall(MatSolverTypeRegister(MATSOLVERSUPERLU_DIST, MATMPIAIJ, MAT_FACTOR_LU, MatGetFactor_aij_superlu_dist));
974: PetscCall(MatSolverTypeRegister(MATSOLVERSUPERLU_DIST, MATSEQAIJ, MAT_FACTOR_LU, MatGetFactor_aij_superlu_dist));
975: PetscCall(MatSolverTypeRegister(MATSOLVERSUPERLU_DIST, MATMPIAIJ, MAT_FACTOR_CHOLESKY, MatGetFactor_aij_superlu_dist));
976: PetscCall(MatSolverTypeRegister(MATSOLVERSUPERLU_DIST, MATSEQAIJ, MAT_FACTOR_CHOLESKY, MatGetFactor_aij_superlu_dist));
977: if (Petsc_Superlu_dist_keyval == MPI_KEYVAL_INVALID) {
978: PetscCallMPI(MPI_Comm_create_keyval(MPI_COMM_NULL_COPY_FN, Petsc_Superlu_dist_keyval_DeleteFn, &Petsc_Superlu_dist_keyval, NULL));
979: PetscCall(PetscRegisterFinalize(Petsc_Superlu_dist_keyval_free));
980: }
981: PetscFunctionReturn(PETSC_SUCCESS);
982: }
984: /*MC
985: MATSOLVERSUPERLU_DIST - Parallel direct solver package for LU factorization
987: Use `./configure --download-superlu_dist --download-parmetis --download-metis --download-ptscotch` to have PETSc installed with SuperLU_DIST
989: Use `-pc_type lu` `-pc_factor_mat_solver_type superlu_dist` to use this direct solver
991: Works with `MATAIJ` matrices
993: Options Database Keys:
994: + -mat_superlu_dist_r <n> - number of rows in processor partition
995: . -mat_superlu_dist_c <n> - number of columns in processor partition
996: . -mat_superlu_dist_3d - use 3d partition, requires SuperLU_DIST 7.2 or later
997: . -mat_superlu_dist_d <n> - depth in 3d partition (valid only if `-mat_superlu_dist_3d`) is provided
998: . -mat_superlu_dist_equil - equilibrate the matrix
999: . -mat_superlu_dist_rowperm <NOROWPERM,LargeDiag_MC64,LargeDiag_AWPM,MY_PERMR> - row permutation
1000: . -mat_superlu_dist_colperm <NATURAL,MMD_AT_PLUS_A,MMD_ATA,METIS_AT_PLUS_A,PARMETIS> - column permutation
1001: . -mat_superlu_dist_replacetinypivot - replace tiny pivots
1002: . -mat_superlu_dist_fact <SamePattern> - (choose one of) `SamePattern`, `SamePattern_SameRowPerm`, `DOFACT`
1003: . -mat_superlu_dist_iterrefine - use iterative refinement
1004: . -mat_superlu_dist_printstat - print factorization information
1005: - -pc_precision single - use SuperLU_DIST single precision with PETSc double precision. Currently this does not accept an options prefix, so
1006: regardless of the `PC` prefix you must use no prefix here
1008: Level: beginner
1010: Note:
1011: If PETSc was configured with `--with-cuda` then this solver will automatically use the GPUs.
1013: .seealso: [](ch_matrices), `Mat`, `PCLU`, `PCFactorSetMatSolverType()`, `MatSolverType`, `MatGetFactor()`
1014: M*/