| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
| 4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
| 5 | |||
| 6 | This file is part of SLEPc. | ||
| 7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
| 8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 9 | */ | ||
| 10 | /* | ||
| 11 | Basic FN routines | ||
| 12 | */ | ||
| 13 | |||
| 14 | #include <slepc/private/fnimpl.h> /*I "slepcfn.h" I*/ | ||
| 15 | #include <slepcblaslapack.h> | ||
| 16 | |||
| 17 | PetscFunctionList FNList = NULL; | ||
| 18 | PetscBool FNRegisterAllCalled = PETSC_FALSE; | ||
| 19 | PetscClassId FN_CLASSID = 0; | ||
| 20 | PetscLogEvent FN_Evaluate = 0; | ||
| 21 | static PetscBool FNPackageInitialized = PETSC_FALSE; | ||
| 22 | |||
| 23 | const char *FNParallelTypes[] = {"REDUNDANT","SYNCHRONIZED","FNParallelType","FN_PARALLEL_",NULL}; | ||
| 24 | |||
| 25 | /*@C | ||
| 26 | FNFinalizePackage - This function destroys everything in the SLEPc interface | ||
| 27 | to the `FN` package. It is called from `SlepcFinalize()`. | ||
| 28 | |||
| 29 | Level: developer | ||
| 30 | |||
| 31 | .seealso: [](sec:fn), `SlepcFinalize()`, `FNInitializePackage()` | ||
| 32 | @*/ | ||
| 33 | 1858 | PetscErrorCode FNFinalizePackage(void) | |
| 34 | { | ||
| 35 |
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1858 | PetscFunctionBegin; |
| 36 |
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1858 | PetscCall(PetscFunctionListDestroy(&FNList)); |
| 37 | 1858 | FNPackageInitialized = PETSC_FALSE; | |
| 38 | 1858 | FNRegisterAllCalled = PETSC_FALSE; | |
| 39 |
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1858 | PetscFunctionReturn(PETSC_SUCCESS); |
| 40 | } | ||
| 41 | |||
| 42 | /*@C | ||
| 43 | FNInitializePackage - This function initializes everything in the `FN` package. | ||
| 44 | It is called from `PetscDLLibraryRegister_slepc()` when using dynamic libraries, and | ||
| 45 | on the first call to `FNCreate()` when using shared or static libraries. | ||
| 46 | |||
| 47 | Note: | ||
| 48 | This function never needs to be called by SLEPc users. | ||
| 49 | |||
| 50 | Level: developer | ||
| 51 | |||
| 52 | .seealso: [](sec:fn), `FN`, `SlepcInitialize()`, `FNFinalizePackage()` | ||
| 53 | @*/ | ||
| 54 | 17494 | PetscErrorCode FNInitializePackage(void) | |
| 55 | { | ||
| 56 | 17494 | char logList[256]; | |
| 57 | 17494 | PetscBool opt,pkg; | |
| 58 | 17494 | PetscClassId classids[1]; | |
| 59 | |||
| 60 |
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17494 | PetscFunctionBegin; |
| 61 |
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17494 | if (FNPackageInitialized) PetscFunctionReturn(PETSC_SUCCESS); |
| 62 | 1858 | FNPackageInitialized = PETSC_TRUE; | |
| 63 | /* Register Classes */ | ||
| 64 |
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1858 | PetscCall(PetscClassIdRegister("Math Function",&FN_CLASSID)); |
| 65 | /* Register Constructors */ | ||
| 66 |
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1858 | PetscCall(FNRegisterAll()); |
| 67 | /* Register Events */ | ||
| 68 |
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1858 | PetscCall(PetscLogEventRegister("FNEvaluate",FN_CLASSID,&FN_Evaluate)); |
| 69 | /* Process Info */ | ||
| 70 | 1858 | classids[0] = FN_CLASSID; | |
| 71 |
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1858 | PetscCall(PetscInfoProcessClass("fn",1,&classids[0])); |
| 72 | /* Process summary exclusions */ | ||
| 73 |
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1858 | PetscCall(PetscOptionsGetString(NULL,NULL,"-log_exclude",logList,sizeof(logList),&opt)); |
| 74 |
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1858 | if (opt) { |
| 75 |
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66 | PetscCall(PetscStrInList("fn",logList,',',&pkg)); |
| 76 |
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66 | if (pkg) PetscCall(PetscLogEventDeactivateClass(FN_CLASSID)); |
| 77 | } | ||
| 78 | /* Register package finalizer */ | ||
| 79 |
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1858 | PetscCall(PetscRegisterFinalize(FNFinalizePackage)); |
| 80 |
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337 | PetscFunctionReturn(PETSC_SUCCESS); |
| 81 | } | ||
| 82 | |||
| 83 | /*@ | ||
| 84 | FNCreate - Creates an `FN` context. | ||
| 85 | |||
| 86 | Collective | ||
| 87 | |||
| 88 | Input Parameter: | ||
| 89 | . comm - MPI communicator | ||
| 90 | |||
| 91 | Output Parameter: | ||
| 92 | . newfn - location to put the `FN` context | ||
| 93 | |||
| 94 | Level: beginner | ||
| 95 | |||
| 96 | .seealso: [](sec:fn), `FNDestroy()`, `FN` | ||
| 97 | @*/ | ||
| 98 | 4441 | PetscErrorCode FNCreate(MPI_Comm comm,FN *newfn) | |
| 99 | { | ||
| 100 | 4441 | FN fn; | |
| 101 | |||
| 102 |
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4441 | PetscFunctionBegin; |
| 103 |
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4441 | PetscAssertPointer(newfn,2); |
| 104 |
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4441 | PetscCall(FNInitializePackage()); |
| 105 |
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4441 | PetscCall(SlepcHeaderCreate(fn,FN_CLASSID,"FN","Math Function","FN",comm,FNDestroy,FNView)); |
| 106 | |||
| 107 | 4441 | fn->alpha = 1.0; | |
| 108 | 4441 | fn->beta = 1.0; | |
| 109 | 4441 | fn->method = 0; | |
| 110 | |||
| 111 | 4441 | fn->nw = 0; | |
| 112 | 4441 | fn->cw = 0; | |
| 113 | 4441 | fn->data = NULL; | |
| 114 | |||
| 115 | 4441 | *newfn = fn; | |
| 116 |
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4441 | PetscFunctionReturn(PETSC_SUCCESS); |
| 117 | } | ||
| 118 | |||
| 119 | /*@ | ||
| 120 | FNSetOptionsPrefix - Sets the prefix used for searching for all | ||
| 121 | `FN` options in the database. | ||
| 122 | |||
| 123 | Logically Collective | ||
| 124 | |||
| 125 | Input Parameters: | ||
| 126 | + fn - the math function context | ||
| 127 | - prefix - the prefix string to prepend to all `FN` option requests | ||
| 128 | |||
| 129 | Notes: | ||
| 130 | A hyphen (-) must NOT be given at the beginning of the prefix name. | ||
| 131 | The first character of all runtime options is AUTOMATICALLY the | ||
| 132 | hyphen. | ||
| 133 | |||
| 134 | Level: advanced | ||
| 135 | |||
| 136 | .seealso: [](sec:fn), `FNAppendOptionsPrefix()` | ||
| 137 | @*/ | ||
| 138 | 50 | PetscErrorCode FNSetOptionsPrefix(FN fn,const char prefix[]) | |
| 139 | { | ||
| 140 |
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50 | PetscFunctionBegin; |
| 141 |
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50 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 142 |
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50 | PetscCall(PetscObjectSetOptionsPrefix((PetscObject)fn,prefix)); |
| 143 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 144 | } | ||
| 145 | |||
| 146 | /*@ | ||
| 147 | FNAppendOptionsPrefix - Appends to the prefix used for searching for all | ||
| 148 | `FN` options in the database. | ||
| 149 | |||
| 150 | Logically Collective | ||
| 151 | |||
| 152 | Input Parameters: | ||
| 153 | + fn - the math function context | ||
| 154 | - prefix - the prefix string to prepend to all `FN` option requests | ||
| 155 | |||
| 156 | Notes: | ||
| 157 | A hyphen (-) must NOT be given at the beginning of the prefix name. | ||
| 158 | The first character of all runtime options is AUTOMATICALLY the hyphen. | ||
| 159 | |||
| 160 | Level: advanced | ||
| 161 | |||
| 162 | .seealso: [](sec:fn), `FNSetOptionsPrefix()` | ||
| 163 | @*/ | ||
| 164 | 10 | PetscErrorCode FNAppendOptionsPrefix(FN fn,const char prefix[]) | |
| 165 | { | ||
| 166 |
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10 | PetscFunctionBegin; |
| 167 |
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10 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 168 |
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10 | PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)fn,prefix)); |
| 169 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 170 | } | ||
| 171 | |||
| 172 | /*@ | ||
| 173 | FNGetOptionsPrefix - Gets the prefix used for searching for all | ||
| 174 | `FN` options in the database. | ||
| 175 | |||
| 176 | Not Collective | ||
| 177 | |||
| 178 | Input Parameter: | ||
| 179 | . fn - the math function context | ||
| 180 | |||
| 181 | Output Parameter: | ||
| 182 | . prefix - pointer to the prefix string used is returned | ||
| 183 | |||
| 184 | Level: advanced | ||
| 185 | |||
| 186 | .seealso: [](sec:fn), `FNSetOptionsPrefix()`, `FNAppendOptionsPrefix()` | ||
| 187 | @*/ | ||
| 188 | ✗ | PetscErrorCode FNGetOptionsPrefix(FN fn,const char *prefix[]) | |
| 189 | { | ||
| 190 | ✗ | PetscFunctionBegin; | |
| 191 | ✗ | PetscValidHeaderSpecific(fn,FN_CLASSID,1); | |
| 192 | ✗ | PetscAssertPointer(prefix,2); | |
| 193 | ✗ | PetscCall(PetscObjectGetOptionsPrefix((PetscObject)fn,prefix)); | |
| 194 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 195 | } | ||
| 196 | |||
| 197 | /*@ | ||
| 198 | FNSetType - Selects the type for the `FN` object. | ||
| 199 | |||
| 200 | Logically Collective | ||
| 201 | |||
| 202 | Input Parameters: | ||
| 203 | + fn - the math function context | ||
| 204 | - type - a known type | ||
| 205 | |||
| 206 | Options Database Key: | ||
| 207 | . -fn_type type - sets the `FN` type | ||
| 208 | |||
| 209 | Note: | ||
| 210 | The default is `FNRATIONAL`, which includes polynomials as a particular | ||
| 211 | case as well as simple functions such as $f(x)=x$ and $f(x)=constant$. | ||
| 212 | |||
| 213 | Level: intermediate | ||
| 214 | |||
| 215 | .seealso: [](sec:fn), `FNGetType()` | ||
| 216 | @*/ | ||
| 217 | 4549 | PetscErrorCode FNSetType(FN fn,FNType type) | |
| 218 | { | ||
| 219 | 4549 | PetscErrorCode (*r)(FN); | |
| 220 | 4549 | PetscBool match; | |
| 221 | |||
| 222 |
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4549 | PetscFunctionBegin; |
| 223 |
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4549 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 224 |
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4549 | PetscAssertPointer(type,2); |
| 225 | |||
| 226 |
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4549 | PetscCall(PetscObjectTypeCompare((PetscObject)fn,type,&match)); |
| 227 |
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4549 | if (match) PetscFunctionReturn(PETSC_SUCCESS); |
| 228 | |||
| 229 |
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4471 | PetscCall(PetscFunctionListFind(FNList,type,&r)); |
| 230 |
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4471 | PetscCheck(r,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_UNKNOWN_TYPE,"Unable to find requested FN type %s",type); |
| 231 | |||
| 232 |
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4471 | PetscTryTypeMethod(fn,destroy); |
| 233 |
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4471 | PetscCall(PetscMemzero(fn->ops,sizeof(struct _FNOps))); |
| 234 | |||
| 235 |
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4471 | PetscCall(PetscObjectChangeTypeName((PetscObject)fn,type)); |
| 236 |
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4471 | PetscCall((*r)(fn)); |
| 237 |
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845 | PetscFunctionReturn(PETSC_SUCCESS); |
| 238 | } | ||
| 239 | |||
| 240 | /*@ | ||
| 241 | FNGetType - Gets the `FN` type name (as a string) from the `FN` context. | ||
| 242 | |||
| 243 | Not Collective | ||
| 244 | |||
| 245 | Input Parameter: | ||
| 246 | . fn - the math function context | ||
| 247 | |||
| 248 | Output Parameter: | ||
| 249 | . type - name of the math function | ||
| 250 | |||
| 251 | Note: | ||
| 252 | `type` should not be retained for later use as it will be an invalid pointer | ||
| 253 | if the `FNType` of `fn` is changed. | ||
| 254 | |||
| 255 | Level: intermediate | ||
| 256 | |||
| 257 | .seealso: [](sec:fn), `FNSetType()`, `PetscObjectTypeCompare()`, `PetscObjectTypeCompareAny()` | ||
| 258 | @*/ | ||
| 259 | 464 | PetscErrorCode FNGetType(FN fn,FNType *type) | |
| 260 | { | ||
| 261 |
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464 | PetscFunctionBegin; |
| 262 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 263 |
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464 | PetscAssertPointer(type,2); |
| 264 | 464 | *type = ((PetscObject)fn)->type_name; | |
| 265 |
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464 | PetscFunctionReturn(PETSC_SUCCESS); |
| 266 | } | ||
| 267 | |||
| 268 | /*@ | ||
| 269 | FNSetScale - Sets the scaling parameters that define the matematical function. | ||
| 270 | |||
| 271 | Logically Collective | ||
| 272 | |||
| 273 | Input Parameters: | ||
| 274 | + fn - the math function context | ||
| 275 | . alpha - inner scaling (argument) | ||
| 276 | - beta - outer scaling (result) | ||
| 277 | |||
| 278 | Notes: | ||
| 279 | Given a function $f(x)$ specified by the `FN` type, the scaling parameters can | ||
| 280 | be used to realize the function $\beta f(\alpha x)$. So when these values are given, | ||
| 281 | the procedure for function evaluation will first multiply the argument by $\alpha$, | ||
| 282 | then evaluate the function itself, and finally scale the result by $\beta$. | ||
| 283 | Likewise, these values are also considered when evaluating the derivative. | ||
| 284 | |||
| 285 | If you want to provide only one of the two scaling factors, set the other | ||
| 286 | one to 1.0. | ||
| 287 | |||
| 288 | Level: intermediate | ||
| 289 | |||
| 290 | .seealso: [](sec:fn), `FNGetScale()`, `FNEvaluateFunction()` | ||
| 291 | @*/ | ||
| 292 | 1916 | PetscErrorCode FNSetScale(FN fn,PetscScalar alpha,PetscScalar beta) | |
| 293 | { | ||
| 294 |
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1916 | PetscFunctionBegin; |
| 295 |
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1916 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 296 |
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1916 | PetscValidLogicalCollectiveScalar(fn,alpha,2); |
| 297 |
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1916 | PetscValidLogicalCollectiveScalar(fn,beta,3); |
| 298 |
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1916 | PetscCheck(PetscAbsScalar(alpha)!=0.0 && PetscAbsScalar(beta)!=0.0,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_WRONG,"Scaling factors must be nonzero"); |
| 299 | 1916 | fn->alpha = alpha; | |
| 300 | 1916 | fn->beta = beta; | |
| 301 |
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1916 | PetscFunctionReturn(PETSC_SUCCESS); |
| 302 | } | ||
| 303 | |||
| 304 | /*@ | ||
| 305 | FNGetScale - Gets the scaling parameters that define the matematical function. | ||
| 306 | |||
| 307 | Not Collective | ||
| 308 | |||
| 309 | Input Parameter: | ||
| 310 | . fn - the math function context | ||
| 311 | |||
| 312 | Output Parameters: | ||
| 313 | + alpha - inner scaling (argument) | ||
| 314 | - beta - outer scaling (result) | ||
| 315 | |||
| 316 | Level: intermediate | ||
| 317 | |||
| 318 | .seealso: [](sec:fn), `FNSetScale()` | ||
| 319 | @*/ | ||
| 320 | 7303 | PetscErrorCode FNGetScale(FN fn,PetscScalar *alpha,PetscScalar *beta) | |
| 321 | { | ||
| 322 |
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7303 | PetscFunctionBegin; |
| 323 |
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7303 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 324 |
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7303 | if (alpha) *alpha = fn->alpha; |
| 325 |
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7303 | if (beta) *beta = fn->beta; |
| 326 |
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7303 | PetscFunctionReturn(PETSC_SUCCESS); |
| 327 | } | ||
| 328 | |||
| 329 | /*@ | ||
| 330 | FNSetMethod - Selects the method to be used to evaluate functions of matrices. | ||
| 331 | |||
| 332 | Logically Collective | ||
| 333 | |||
| 334 | Input Parameters: | ||
| 335 | + fn - the math function context | ||
| 336 | - meth - an index identifying the method | ||
| 337 | |||
| 338 | Options Database Key: | ||
| 339 | . -fn_method meth - sets the method | ||
| 340 | |||
| 341 | Notes: | ||
| 342 | In some `FN` types there are more than one algorithm available for computing | ||
| 343 | matrix functions. In that case, this function allows choosing the wanted method. | ||
| 344 | |||
| 345 | If `meth` is currently set to 0 (the default) and the input argument `A` of | ||
| 346 | `FNEvaluateFunctionMat()` is a symmetric/Hermitian matrix, then the computation | ||
| 347 | is done via the eigendecomposition of `A`, rather than with the general algorithm. | ||
| 348 | |||
| 349 | Level: intermediate | ||
| 350 | |||
| 351 | .seealso: [](sec:fn), `FNGetMethod()`, `FNEvaluateFunctionMat()` | ||
| 352 | @*/ | ||
| 353 | 952 | PetscErrorCode FNSetMethod(FN fn,PetscInt meth) | |
| 354 | { | ||
| 355 |
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952 | PetscFunctionBegin; |
| 356 |
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952 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 357 |
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952 | PetscValidLogicalCollectiveInt(fn,meth,2); |
| 358 |
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952 | PetscCheck(meth>=0,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"The method must be a non-negative integer"); |
| 359 |
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952 | PetscCheck(meth<=FN_MAX_SOLVE,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"Too large value for the method"); |
| 360 | 952 | fn->method = meth; | |
| 361 |
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952 | PetscFunctionReturn(PETSC_SUCCESS); |
| 362 | } | ||
| 363 | |||
| 364 | /*@ | ||
| 365 | FNGetMethod - Gets the method currently used in the `FN`. | ||
| 366 | |||
| 367 | Not Collective | ||
| 368 | |||
| 369 | Input Parameter: | ||
| 370 | . fn - the math function context | ||
| 371 | |||
| 372 | Output Parameter: | ||
| 373 | . meth - identifier of the method | ||
| 374 | |||
| 375 | Level: intermediate | ||
| 376 | |||
| 377 | .seealso: [](sec:fn), `FNSetMethod()` | ||
| 378 | @*/ | ||
| 379 | 464 | PetscErrorCode FNGetMethod(FN fn,PetscInt *meth) | |
| 380 | { | ||
| 381 |
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464 | PetscFunctionBegin; |
| 382 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 383 |
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464 | PetscAssertPointer(meth,2); |
| 384 | 464 | *meth = fn->method; | |
| 385 |
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464 | PetscFunctionReturn(PETSC_SUCCESS); |
| 386 | } | ||
| 387 | |||
| 388 | /*@ | ||
| 389 | FNSetParallel - Selects the mode of operation in parallel runs. | ||
| 390 | |||
| 391 | Logically Collective | ||
| 392 | |||
| 393 | Input Parameters: | ||
| 394 | + fn - the math function context | ||
| 395 | - pmode - the parallel mode | ||
| 396 | |||
| 397 | Options Database Key: | ||
| 398 | . -fn_parallel (redundant|synchronized) - sets the parallel mode | ||
| 399 | |||
| 400 | Notes: | ||
| 401 | This is relevant only when the function is evaluated on a matrix, with | ||
| 402 | either `FNEvaluateFunctionMat()` or `FNEvaluateFunctionMatVec()`. | ||
| 403 | |||
| 404 | In the `redundant` parallel mode, all processes will make the computation | ||
| 405 | redundantly, starting from the same data, and producing the same result. | ||
| 406 | This result may be slightly different in the different processes if using a | ||
| 407 | multithreaded BLAS library, which may cause issues in ill-conditioned problems. | ||
| 408 | |||
| 409 | In the `synchronized` parallel mode, only the first MPI process performs the | ||
| 410 | computation and then the computed matrix is broadcast to the other | ||
| 411 | processes in the communicator. This communication is done automatically at | ||
| 412 | the end of `FNEvaluateFunctionMat()` or `FNEvaluateFunctionMatVec()`. | ||
| 413 | |||
| 414 | Level: advanced | ||
| 415 | |||
| 416 | .seealso: [](sec:fn), `FNEvaluateFunctionMat()`, `FNEvaluateFunctionMatVec()`, `FNGetParallel()` | ||
| 417 | @*/ | ||
| 418 | 524 | PetscErrorCode FNSetParallel(FN fn,FNParallelType pmode) | |
| 419 | { | ||
| 420 |
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524 | PetscFunctionBegin; |
| 421 |
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524 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 422 |
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524 | PetscValidLogicalCollectiveEnum(fn,pmode,2); |
| 423 | 524 | fn->pmode = pmode; | |
| 424 |
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524 | PetscFunctionReturn(PETSC_SUCCESS); |
| 425 | } | ||
| 426 | |||
| 427 | /*@ | ||
| 428 | FNGetParallel - Gets the mode of operation in parallel runs. | ||
| 429 | |||
| 430 | Not Collective | ||
| 431 | |||
| 432 | Input Parameter: | ||
| 433 | . fn - the math function context | ||
| 434 | |||
| 435 | Output Parameter: | ||
| 436 | . pmode - the parallel mode | ||
| 437 | |||
| 438 | Level: advanced | ||
| 439 | |||
| 440 | .seealso: [](sec:fn), `FNSetParallel()` | ||
| 441 | @*/ | ||
| 442 | 464 | PetscErrorCode FNGetParallel(FN fn,FNParallelType *pmode) | |
| 443 | { | ||
| 444 |
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464 | PetscFunctionBegin; |
| 445 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 446 |
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464 | PetscAssertPointer(pmode,2); |
| 447 | 464 | *pmode = fn->pmode; | |
| 448 |
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464 | PetscFunctionReturn(PETSC_SUCCESS); |
| 449 | } | ||
| 450 | |||
| 451 | /*@ | ||
| 452 | FNEvaluateFunction - Computes the value of the function $f(x)$ for a given $x$. | ||
| 453 | |||
| 454 | Not Collective | ||
| 455 | |||
| 456 | Input Parameters: | ||
| 457 | + fn - the math function context | ||
| 458 | - x - the value where the function must be evaluated | ||
| 459 | |||
| 460 | Output Parameter: | ||
| 461 | . y - the result of $f(x)$ | ||
| 462 | |||
| 463 | Note: | ||
| 464 | Scaling factors are taken into account, so the actual function evaluation | ||
| 465 | will return $\beta f(\alpha x)$. | ||
| 466 | |||
| 467 | Level: intermediate | ||
| 468 | |||
| 469 | .seealso: [](sec:fn), `FNEvaluateDerivative()`, `FNEvaluateFunctionMat()`, `FNSetScale()` | ||
| 470 | @*/ | ||
| 471 | 123404 | PetscErrorCode FNEvaluateFunction(FN fn,PetscScalar x,PetscScalar *y) | |
| 472 | { | ||
| 473 | 123404 | PetscScalar xf,yf; | |
| 474 | |||
| 475 |
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123404 | PetscFunctionBegin; |
| 476 |
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123404 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 477 |
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123404 | PetscValidType(fn,1); |
| 478 |
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123404 | PetscAssertPointer(y,3); |
| 479 |
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123404 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 480 | 123404 | xf = fn->alpha*x; | |
| 481 |
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123404 | PetscUseTypeMethod(fn,evaluatefunction,xf,&yf); |
| 482 | 123404 | *y = fn->beta*yf; | |
| 483 |
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123404 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 484 |
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24718 | PetscFunctionReturn(PETSC_SUCCESS); |
| 485 | } | ||
| 486 | |||
| 487 | /*@ | ||
| 488 | FNEvaluateDerivative - Computes the value of the derivative $f'(x)$ for a given $x$. | ||
| 489 | |||
| 490 | Not Collective | ||
| 491 | |||
| 492 | Input Parameters: | ||
| 493 | + fn - the math function context | ||
| 494 | - x - the value where the derivative must be evaluated | ||
| 495 | |||
| 496 | Output Parameter: | ||
| 497 | . y - the result of $f'(x)$ | ||
| 498 | |||
| 499 | Note: | ||
| 500 | Scaling factors are taken into account, so the actual derivative evaluation will | ||
| 501 | return $\alpha\beta f'(\alpha x)$. | ||
| 502 | |||
| 503 | Level: intermediate | ||
| 504 | |||
| 505 | .seealso: [](sec:fn), `FNEvaluateFunction()`, `FNSetScale()` | ||
| 506 | @*/ | ||
| 507 | 43875 | PetscErrorCode FNEvaluateDerivative(FN fn,PetscScalar x,PetscScalar *y) | |
| 508 | { | ||
| 509 | 43875 | PetscScalar xf,yf; | |
| 510 | |||
| 511 |
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43875 | PetscFunctionBegin; |
| 512 |
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43875 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 513 |
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43875 | PetscValidType(fn,1); |
| 514 |
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43875 | PetscAssertPointer(y,3); |
| 515 |
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43875 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 516 | 43875 | xf = fn->alpha*x; | |
| 517 |
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43875 | PetscUseTypeMethod(fn,evaluatederivative,xf,&yf); |
| 518 | 43875 | *y = fn->alpha*fn->beta*yf; | |
| 519 |
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43875 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 520 |
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8587 | PetscFunctionReturn(PETSC_SUCCESS); |
| 521 | } | ||
| 522 | |||
| 523 | 442 | static PetscErrorCode FNEvaluateFunctionMat_Sym_Private(FN fn,const PetscScalar *As,PetscScalar *Bs,PetscInt m,PetscBool firstonly) | |
| 524 | { | ||
| 525 | 442 | PetscInt i,j; | |
| 526 | 442 | PetscBLASInt n,k,ld,lwork; | |
| 527 | 442 | PetscScalar *Q,*W,*work,adummy,a,x,y,one=1.0,zero=0.0; | |
| 528 | 442 | PetscReal *eig,dummy; | |
| 529 | #if defined(PETSC_USE_COMPLEX) | ||
| 530 | 223 | PetscReal *rwork,rdummy; | |
| 531 | #endif | ||
| 532 | |||
| 533 |
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442 | PetscFunctionBegin; |
| 534 |
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442 | PetscCall(PetscBLASIntCast(m,&n)); |
| 535 | 442 | ld = n; | |
| 536 |
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442 | k = firstonly? 1: n; |
| 537 | |||
| 538 | /* workspace query and memory allocation */ | ||
| 539 | 442 | lwork = -1; | |
| 540 | #if defined(PETSC_USE_COMPLEX) | ||
| 541 |
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223 | PetscCallLAPACKInfo("LAPACKsyev",LAPACKsyev_("V","L",&n,&adummy,&ld,&dummy,&a,&lwork,&rdummy,&info)); |
| 542 |
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223 | PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(a),&lwork)); |
| 543 |
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223 | PetscCall(PetscMalloc5(m,&eig,m*m,&Q,m*k,&W,lwork,&work,PetscMax(1,3*m-2),&rwork)); |
| 544 | #else | ||
| 545 |
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219 | PetscCallLAPACKInfo("LAPACKsyev",LAPACKsyev_("V","L",&n,&adummy,&ld,&dummy,&a,&lwork,&info)); |
| 546 |
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219 | PetscCall(PetscBLASIntCast((PetscInt)a,&lwork)); |
| 547 |
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219 | PetscCall(PetscMalloc4(m,&eig,m*m,&Q,m*k,&W,lwork,&work)); |
| 548 | #endif | ||
| 549 | |||
| 550 | /* compute eigendecomposition */ | ||
| 551 |
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590830 | for (j=0;j<n;j++) for (i=j;i<n;i++) Q[i+j*ld] = As[i+j*ld]; |
| 552 | #if defined(PETSC_USE_COMPLEX) | ||
| 553 |
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223 | PetscCallLAPACKInfo("LAPACKsyev",LAPACKsyev_("V","L",&n,Q,&ld,eig,work,&lwork,rwork,&info)); |
| 554 | #else | ||
| 555 |
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219 | PetscCallLAPACKInfo("LAPACKsyev",LAPACKsyev_("V","L",&n,Q,&ld,eig,work,&lwork,&info)); |
| 556 | #endif | ||
| 557 | |||
| 558 | /* W = f(Lambda)*Q' */ | ||
| 559 |
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14590 | for (i=0;i<n;i++) { |
| 560 | 14148 | x = fn->alpha*eig[i]; | |
| 561 |
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14148 | PetscUseTypeMethod(fn,evaluatefunction,x,&y); /* y = f(x) */ |
| 562 |
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583800 | for (j=0;j<k;j++) W[i+j*ld] = PetscConj(Q[j+i*ld])*fn->beta*y; |
| 563 | } | ||
| 564 | /* Bs = Q*W */ | ||
| 565 |
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442 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n,&k,&n,&one,Q,&ld,W,&ld,&zero,Bs,&ld)); |
| 566 | #if defined(PETSC_USE_COMPLEX) | ||
| 567 |
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223 | PetscCall(PetscFree5(eig,Q,W,work,rwork)); |
| 568 | #else | ||
| 569 |
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219 | PetscCall(PetscFree4(eig,Q,W,work)); |
| 570 | #endif | ||
| 571 |
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442 | PetscCall(PetscLogFlops(9.0*n*n*n+2.0*n*n*n)); |
| 572 |
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442 | PetscFunctionReturn(PETSC_SUCCESS); |
| 573 | } | ||
| 574 | |||
| 575 | /* | ||
| 576 | FNEvaluateFunctionMat_Sym_Default - given a symmetric matrix A, | ||
| 577 | compute the matrix function as f(A)=Q*f(D)*Q' where the spectral | ||
| 578 | decomposition of A is A=Q*D*Q' | ||
| 579 | */ | ||
| 580 | 202 | static PetscErrorCode FNEvaluateFunctionMat_Sym_Default(FN fn,Mat A,Mat B) | |
| 581 | { | ||
| 582 | 202 | PetscInt m; | |
| 583 | 202 | const PetscScalar *As; | |
| 584 | 202 | PetscScalar *Bs; | |
| 585 | |||
| 586 |
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202 | PetscFunctionBegin; |
| 587 |
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202 | PetscCall(MatDenseGetArrayRead(A,&As)); |
| 588 |
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202 | PetscCall(MatDenseGetArray(B,&Bs)); |
| 589 |
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202 | PetscCall(MatGetSize(A,&m,NULL)); |
| 590 |
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202 | PetscCall(FNEvaluateFunctionMat_Sym_Private(fn,As,Bs,m,PETSC_FALSE)); |
| 591 |
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202 | PetscCall(MatDenseRestoreArrayRead(A,&As)); |
| 592 |
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202 | PetscCall(MatDenseRestoreArray(B,&Bs)); |
| 593 |
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38 | PetscFunctionReturn(PETSC_SUCCESS); |
| 594 | } | ||
| 595 | |||
| 596 | 19195 | static PetscErrorCode FNEvaluateFunctionMat_Basic(FN fn,Mat A,Mat F) | |
| 597 | { | ||
| 598 | 19195 | PetscBool iscuda; | |
| 599 | |||
| 600 |
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19195 | PetscFunctionBegin; |
| 601 |
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19195 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 602 |
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19195 | if (iscuda && !fn->ops->evaluatefunctionmatcuda[fn->method]) PetscCall(PetscInfo(fn,"The method %" PetscInt_FMT " is not implemented for CUDA, falling back to CPU version\n",fn->method)); |
| 603 |
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19195 | if (iscuda && fn->ops->evaluatefunctionmatcuda[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmatcuda[fn->method],A,F); |
| 604 |
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18859 | else if (fn->ops->evaluatefunctionmat[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmat[fn->method],A,F); |
| 605 | else { | ||
| 606 | ✗ | PetscCheck(fn->method,PetscObjectComm((PetscObject)fn),PETSC_ERR_SUP,"Matrix functions not implemented in this FN type"); | |
| 607 | ✗ | PetscCheck(!fn->method,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"The specified method number does not exist for this FN type"); | |
| 608 | } | ||
| 609 |
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3757 | PetscFunctionReturn(PETSC_SUCCESS); |
| 610 | } | ||
| 611 | |||
| 612 | 16681 | PetscErrorCode FNEvaluateFunctionMat_Private(FN fn,Mat A,Mat B,PetscBool sync) | |
| 613 | { | ||
| 614 | 16681 | PetscBool set,flg,symm=PETSC_FALSE,iscuda,hasspecificmeth; | |
| 615 | 16681 | PetscInt m,n; | |
| 616 | 16681 | PetscMPIInt size,rank,n2; | |
| 617 | 16681 | PetscScalar *pF; | |
| 618 | 16681 | Mat M,F; | |
| 619 | |||
| 620 |
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16681 | PetscFunctionBegin; |
| 621 | /* destination matrix */ | ||
| 622 |
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16681 | F = B?B:A; |
| 623 | |||
| 624 | /* check symmetry of A */ | ||
| 625 |
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16681 | PetscCall(MatIsHermitianKnown(A,&set,&flg)); |
| 626 |
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16681 | symm = set? flg: PETSC_FALSE; |
| 627 | |||
| 628 |
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16681 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)fn),&size)); |
| 629 |
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|
16681 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)fn),&rank)); |
| 630 |
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|
16681 | if (size==1 || fn->pmode==FN_PARALLEL_REDUNDANT || (fn->pmode==FN_PARALLEL_SYNCHRONIZED && !rank)) { |
| 631 |
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16561 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 632 |
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16561 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 633 |
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|
16561 | hasspecificmeth = ((iscuda && fn->ops->evaluatefunctionmatcuda[fn->method]) || (!iscuda && fn->method && fn->ops->evaluatefunctionmat[fn->method]))? PETSC_TRUE: PETSC_FALSE; |
| 634 |
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16561 | if (!hasspecificmeth && symm && !fn->method) { /* prefer diagonalization */ |
| 635 |
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|
202 | PetscCall(PetscInfo(fn,"Computing matrix function via diagonalization\n")); |
| 636 |
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|
202 | PetscCall(FNEvaluateFunctionMat_Sym_Default(fn,A,F)); |
| 637 | } else { | ||
| 638 | /* scale argument */ | ||
| 639 |
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16359 | if (fn->alpha!=(PetscScalar)1.0) { |
| 640 |
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|
2978 | PetscCall(FN_AllocateWorkMat(fn,A,&M)); |
| 641 |
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|
2978 | PetscCall(MatScale(M,fn->alpha)); |
| 642 | 13381 | } else M = A; | |
| 643 |
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16359 | PetscCall(FNEvaluateFunctionMat_Basic(fn,M,F)); |
| 644 |
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16359 | if (fn->alpha!=(PetscScalar)1.0) PetscCall(FN_FreeWorkMat(fn,&M)); |
| 645 | /* scale result */ | ||
| 646 |
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16359 | PetscCall(MatScale(F,fn->beta)); |
| 647 | } | ||
| 648 |
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16561 | PetscCall(PetscFPTrapPop()); |
| 649 | } | ||
| 650 |
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16681 | if (size>1 && fn->pmode==FN_PARALLEL_SYNCHRONIZED && sync) { /* synchronize */ |
| 651 |
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180 | PetscCall(MatGetSize(A,&m,&n)); |
| 652 |
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180 | PetscCall(MatDenseGetArray(F,&pF)); |
| 653 |
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180 | PetscCall(PetscMPIIntCast(n*n,&n2)); |
| 654 |
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|
360 | PetscCallMPI(MPI_Bcast(pF,n2,MPIU_SCALAR,0,PetscObjectComm((PetscObject)fn))); |
| 655 |
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180 | PetscCall(MatDenseRestoreArray(F,&pF)); |
| 656 | } | ||
| 657 |
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|
3281 | PetscFunctionReturn(PETSC_SUCCESS); |
| 658 | } | ||
| 659 | |||
| 660 | /*@ | ||
| 661 | FNEvaluateFunctionMat - Computes the value of the function $f(A)$ for a given | ||
| 662 | matrix $A$, where the result is also a matrix. | ||
| 663 | |||
| 664 | Logically Collective | ||
| 665 | |||
| 666 | Input Parameters: | ||
| 667 | + fn - the math function context | ||
| 668 | - A - matrix on which the function must be evaluated | ||
| 669 | |||
| 670 | Output Parameter: | ||
| 671 | . B - (optional) matrix resulting from evaluating $f(A)$ | ||
| 672 | |||
| 673 | Notes: | ||
| 674 | Matrix `A` must be a square sequential dense `Mat`, with all entries equal on | ||
| 675 | all processes (otherwise each process will compute different results). | ||
| 676 | If matrix `B` is provided, it must also be a square sequential dense `Mat`, and | ||
| 677 | both matrices must have the same dimensions. If `B` is `NULL` (or `B`=`A`) then | ||
| 678 | the function will perform an in-place computation, overwriting `A` with $f(A)$. | ||
| 679 | |||
| 680 | If `A` is known to be real symmetric or complex Hermitian then it is | ||
| 681 | recommended to set the appropriate flag with `MatSetOption()`, because | ||
| 682 | symmetry can sometimes be exploited by the algorithm. | ||
| 683 | |||
| 684 | Scaling factors are taken into account, so the actual function evaluation | ||
| 685 | will return $\beta f(\alpha A)$. | ||
| 686 | |||
| 687 | Level: advanced | ||
| 688 | |||
| 689 | .seealso: [](sec:fn), `FNEvaluateFunction()`, `FNEvaluateFunctionMatVec()`, `FNSetMethod()` | ||
| 690 | @*/ | ||
| 691 | 16147 | PetscErrorCode FNEvaluateFunctionMat(FN fn,Mat A,Mat B) | |
| 692 | { | ||
| 693 | 16147 | PetscBool inplace=PETSC_FALSE; | |
| 694 | 16147 | PetscInt m,n,n1; | |
| 695 | 16147 | MatType type; | |
| 696 | |||
| 697 |
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16147 | PetscFunctionBegin; |
| 698 |
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16147 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 699 |
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16147 | PetscValidHeaderSpecific(A,MAT_CLASSID,2); |
| 700 |
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16147 | PetscValidType(fn,1); |
| 701 |
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16147 | PetscValidType(A,2); |
| 702 |
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16147 | if (B) { |
| 703 |
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3086 | PetscValidHeaderSpecific(B,MAT_CLASSID,3); |
| 704 |
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3086 | PetscValidType(B,3); |
| 705 | 532 | } else inplace = PETSC_TRUE; | |
| 706 |
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16147 | PetscCheckTypeNames(A,MATSEQDENSE,MATSEQDENSECUDA); //SlepcMatCheckSeq(A); |
| 707 |
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16147 | PetscCall(MatGetSize(A,&m,&n)); |
| 708 |
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16147 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Mat A is not square (has %" PetscInt_FMT " rows, %" PetscInt_FMT " cols)",m,n); |
| 709 |
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16147 | if (!inplace) { |
| 710 |
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15510 | PetscCall(MatGetType(A,&type)); |
| 711 |
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|
15510 | PetscCheckTypeName(B,type); |
| 712 | 15510 | n1 = n; | |
| 713 |
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15510 | PetscCall(MatGetSize(B,&m,&n)); |
| 714 |
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15510 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Mat B is not square (has %" PetscInt_FMT " rows, %" PetscInt_FMT " cols)",m,n); |
| 715 |
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15510 | PetscCheck(n1==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Matrices A and B must have the same dimension"); |
| 716 | } | ||
| 717 | |||
| 718 | /* evaluate matrix function */ | ||
| 719 |
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|
16147 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 720 |
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16147 | PetscCall(FNEvaluateFunctionMat_Private(fn,A,B,PETSC_TRUE)); |
| 721 |
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16147 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 722 |
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|
3191 | PetscFunctionReturn(PETSC_SUCCESS); |
| 723 | } | ||
| 724 | |||
| 725 | /* | ||
| 726 | FNEvaluateFunctionMatVec_Default - computes the full matrix f(A) | ||
| 727 | and then copies the first column. | ||
| 728 | */ | ||
| 729 | 2836 | static PetscErrorCode FNEvaluateFunctionMatVec_Default(FN fn,Mat A,Vec v) | |
| 730 | { | ||
| 731 | 2836 | Mat F; | |
| 732 | |||
| 733 |
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2836 | PetscFunctionBegin; |
| 734 |
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2836 | PetscCall(FN_AllocateWorkMat(fn,A,&F)); |
| 735 |
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2836 | PetscCall(FNEvaluateFunctionMat_Basic(fn,A,F)); |
| 736 |
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2836 | PetscCall(MatGetColumnVector(F,v,0)); |
| 737 |
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2836 | PetscCall(FN_FreeWorkMat(fn,&F)); |
| 738 |
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|
538 | PetscFunctionReturn(PETSC_SUCCESS); |
| 739 | } | ||
| 740 | |||
| 741 | /* | ||
| 742 | FNEvaluateFunctionMatVec_Sym_Default - given a symmetric matrix A, | ||
| 743 | compute the matrix function as f(A)=Q*f(D)*Q' where the spectral | ||
| 744 | decomposition of A is A=Q*D*Q'. Only the first column is computed. | ||
| 745 | */ | ||
| 746 | 240 | static PetscErrorCode FNEvaluateFunctionMatVec_Sym_Default(FN fn,Mat A,Vec v) | |
| 747 | { | ||
| 748 | 240 | PetscInt m; | |
| 749 | 240 | const PetscScalar *As; | |
| 750 | 240 | PetscScalar *vs; | |
| 751 | |||
| 752 |
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240 | PetscFunctionBegin; |
| 753 |
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240 | PetscCall(MatDenseGetArrayRead(A,&As)); |
| 754 |
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240 | PetscCall(VecGetArray(v,&vs)); |
| 755 |
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240 | PetscCall(MatGetSize(A,&m,NULL)); |
| 756 |
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240 | PetscCall(FNEvaluateFunctionMat_Sym_Private(fn,As,vs,m,PETSC_TRUE)); |
| 757 |
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240 | PetscCall(MatDenseRestoreArrayRead(A,&As)); |
| 758 |
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240 | PetscCall(VecRestoreArray(v,&vs)); |
| 759 |
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|
48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 760 | } | ||
| 761 | |||
| 762 | 4447 | PetscErrorCode FNEvaluateFunctionMatVec_Private(FN fn,Mat A,Vec v,PetscBool sync) | |
| 763 | { | ||
| 764 | 4447 | PetscBool set,flg,symm=PETSC_FALSE,iscuda,hasspecificmeth; | |
| 765 | 4447 | PetscInt m,n; | |
| 766 | 4447 | Mat M; | |
| 767 | 4447 | PetscMPIInt size,rank,n_; | |
| 768 | 4447 | PetscScalar *pv; | |
| 769 | |||
| 770 |
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4447 | PetscFunctionBegin; |
| 771 | /* check symmetry of A */ | ||
| 772 |
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|
4447 | PetscCall(MatIsHermitianKnown(A,&set,&flg)); |
| 773 |
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|
4447 | symm = set? flg: PETSC_FALSE; |
| 774 | |||
| 775 | /* evaluate matrix function */ | ||
| 776 |
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4447 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)fn),&size)); |
| 777 |
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4447 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)fn),&rank)); |
| 778 |
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|
4447 | if (size==1 || fn->pmode==FN_PARALLEL_REDUNDANT || (fn->pmode==FN_PARALLEL_SYNCHRONIZED && !rank)) { |
| 779 |
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4327 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 780 |
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4327 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 781 |
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|
4327 | hasspecificmeth = ((iscuda && fn->ops->evaluatefunctionmatcuda[fn->method]) || (!iscuda && fn->method && fn->ops->evaluatefunctionmat[fn->method]))? PETSC_TRUE: PETSC_FALSE; |
| 782 |
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4327 | if (!hasspecificmeth && symm && !fn->method) { /* prefer diagonalization */ |
| 783 |
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240 | PetscCall(PetscInfo(fn,"Computing matrix function via diagonalization\n")); |
| 784 |
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|
240 | PetscCall(FNEvaluateFunctionMatVec_Sym_Default(fn,A,v)); |
| 785 | } else { | ||
| 786 | /* scale argument */ | ||
| 787 |
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4087 | if (fn->alpha!=(PetscScalar)1.0) { |
| 788 |
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|
2973 | PetscCall(FN_AllocateWorkMat(fn,A,&M)); |
| 789 |
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|
2973 | PetscCall(MatScale(M,fn->alpha)); |
| 790 | 1114 | } else M = A; | |
| 791 |
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4087 | if (iscuda && fn->ops->evaluatefunctionmatveccuda[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmatveccuda[fn->method],M,v); |
| 792 |
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4039 | else if (fn->ops->evaluatefunctionmatvec[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmatvec[fn->method],M,v); |
| 793 |
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|
2836 | else PetscCall(FNEvaluateFunctionMatVec_Default(fn,M,v)); |
| 794 |
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4087 | if (fn->alpha!=(PetscScalar)1.0) PetscCall(FN_FreeWorkMat(fn,&M)); |
| 795 | /* scale result */ | ||
| 796 |
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4087 | PetscCall(VecScale(v,fn->beta)); |
| 797 | } | ||
| 798 |
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|
4327 | PetscCall(PetscFPTrapPop()); |
| 799 | } | ||
| 800 | |||
| 801 | /* synchronize */ | ||
| 802 |
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4447 | if (size>1 && fn->pmode==FN_PARALLEL_SYNCHRONIZED && sync) { |
| 803 |
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|
180 | PetscCall(MatGetSize(A,&m,&n)); |
| 804 |
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180 | PetscCall(VecGetArray(v,&pv)); |
| 805 |
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180 | PetscCall(PetscMPIIntCast(n,&n_)); |
| 806 |
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|
360 | PetscCallMPI(MPI_Bcast(pv,n_,MPIU_SCALAR,0,PetscObjectComm((PetscObject)fn))); |
| 807 |
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|
180 | PetscCall(VecRestoreArray(v,&pv)); |
| 808 | } | ||
| 809 |
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|
847 | PetscFunctionReturn(PETSC_SUCCESS); |
| 810 | } | ||
| 811 | |||
| 812 | /*@ | ||
| 813 | FNEvaluateFunctionMatVec - Computes the first column of the matrix $f(A)$ | ||
| 814 | for a given matrix $A$. | ||
| 815 | |||
| 816 | Logically Collective | ||
| 817 | |||
| 818 | Input Parameters: | ||
| 819 | + fn - the math function context | ||
| 820 | - A - matrix on which the function must be evaluated | ||
| 821 | |||
| 822 | Output Parameter: | ||
| 823 | . v - vector to hold the first column of $f(A)$ | ||
| 824 | |||
| 825 | Notes: | ||
| 826 | This operation is similar to `FNEvaluateFunctionMat()` but returns only | ||
| 827 | the first column of $f(A)$, hence saving computations in most cases. | ||
| 828 | |||
| 829 | Level: advanced | ||
| 830 | |||
| 831 | .seealso: [](sec:fn), `FNEvaluateFunction()`, `FNEvaluateFunctionMat()`, `FNSetMethod()` | ||
| 832 | @*/ | ||
| 833 | 3707 | PetscErrorCode FNEvaluateFunctionMatVec(FN fn,Mat A,Vec v) | |
| 834 | { | ||
| 835 | 3707 | PetscInt m,n; | |
| 836 | 3707 | PetscBool iscuda; | |
| 837 | |||
| 838 |
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3707 | PetscFunctionBegin; |
| 839 |
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3707 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 840 |
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3707 | PetscValidHeaderSpecific(A,MAT_CLASSID,2); |
| 841 |
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3707 | PetscValidHeaderSpecific(v,VEC_CLASSID,3); |
| 842 |
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3707 | PetscValidType(fn,1); |
| 843 |
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3707 | PetscValidType(A,2); |
| 844 |
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3707 | PetscValidType(v,3); |
| 845 |
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3707 | PetscCheckTypeNames(A,MATSEQDENSE,MATSEQDENSECUDA); //SlepcMatCheckSeq(A); |
| 846 |
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3707 | PetscCall(MatGetSize(A,&m,&n)); |
| 847 |
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3707 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Mat A is not square (has %" PetscInt_FMT " rows, %" PetscInt_FMT " cols)",m,n); |
| 848 |
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3707 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 849 |
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4414 | PetscCheckTypeName(v,iscuda?VECSEQCUDA:VECSEQ); |
| 850 |
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3707 | PetscCall(VecGetSize(v,&m)); |
| 851 |
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3707 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Matrix A and vector v must have the same size"); |
| 852 |
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|
3707 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 853 |
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3707 | PetscCall(FNEvaluateFunctionMatVec_Private(fn,A,v,PETSC_TRUE)); |
| 854 |
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3707 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 855 |
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|
707 | PetscFunctionReturn(PETSC_SUCCESS); |
| 856 | } | ||
| 857 | |||
| 858 | /*@ | ||
| 859 | FNSetFromOptions - Sets `FN` options from the options database. | ||
| 860 | |||
| 861 | Collective | ||
| 862 | |||
| 863 | Input Parameter: | ||
| 864 | . fn - the math function context | ||
| 865 | |||
| 866 | Note: | ||
| 867 | To see all options, run your program with the `-help` option. | ||
| 868 | |||
| 869 | Level: beginner | ||
| 870 | |||
| 871 | .seealso: [](sec:fn), `FNSetOptionsPrefix()` | ||
| 872 | @*/ | ||
| 873 | 3740 | PetscErrorCode FNSetFromOptions(FN fn) | |
| 874 | { | ||
| 875 | 3740 | char type[256]; | |
| 876 | 3740 | PetscScalar array[2]; | |
| 877 | 3740 | PetscInt k,meth; | |
| 878 | 3740 | PetscBool flg; | |
| 879 | 3740 | FNParallelType pmode; | |
| 880 | |||
| 881 |
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3740 | PetscFunctionBegin; |
| 882 |
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3740 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 883 |
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3740 | PetscCall(FNRegisterAll()); |
| 884 |
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11220 | PetscObjectOptionsBegin((PetscObject)fn); |
| 885 |
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|
7436 | PetscCall(PetscOptionsFList("-fn_type","Math function type","FNSetType",FNList,(char*)(((PetscObject)fn)->type_name?((PetscObject)fn)->type_name:FNRATIONAL),type,sizeof(type),&flg)); |
| 886 |
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3740 | if (flg) PetscCall(FNSetType(fn,type)); |
| 887 |
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|
3690 | else if (!((PetscObject)fn)->type_name) PetscCall(FNSetType(fn,FNRATIONAL)); |
| 888 | |||
| 889 | 3740 | k = 2; | |
| 890 | 3740 | array[0] = 0.0; array[1] = 0.0; | |
| 891 |
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3740 | PetscCall(PetscOptionsScalarArray("-fn_scale","Scale factors (one or two scalar values separated with a comma without spaces)","FNSetScale",array,&k,&flg)); |
| 892 |
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3740 | if (flg) { |
| 893 |
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|
497 | if (k<2) array[1] = 1.0; |
| 894 |
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497 | PetscCall(FNSetScale(fn,array[0],array[1])); |
| 895 | } | ||
| 896 | |||
| 897 |
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3740 | PetscCall(PetscOptionsInt("-fn_method","Method to be used for computing matrix functions","FNSetMethod",fn->method,&meth,&flg)); |
| 898 |
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3740 | if (flg) PetscCall(FNSetMethod(fn,meth)); |
| 899 | |||
| 900 |
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3740 | PetscCall(PetscOptionsEnum("-fn_parallel","Operation mode in parallel runs","FNSetParallel",FNParallelTypes,(PetscEnum)fn->pmode,(PetscEnum*)&pmode,&flg)); |
| 901 |
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3740 | if (flg) PetscCall(FNSetParallel(fn,pmode)); |
| 902 | |||
| 903 |
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3740 | PetscTryTypeMethod(fn,setfromoptions,PetscOptionsObject); |
| 904 |
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3740 | PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)fn,PetscOptionsObject)); |
| 905 |
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3740 | PetscOptionsEnd(); |
| 906 |
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3740 | PetscFunctionReturn(PETSC_SUCCESS); |
| 907 | } | ||
| 908 | |||
| 909 | /*@ | ||
| 910 | FNView - Prints the `FN` data structure. | ||
| 911 | |||
| 912 | Collective | ||
| 913 | |||
| 914 | Input Parameters: | ||
| 915 | + fn - the math function context | ||
| 916 | - viewer - optional visualization context | ||
| 917 | |||
| 918 | Note: | ||
| 919 | The available visualization contexts include | ||
| 920 | + `PETSC_VIEWER_STDOUT_SELF` - standard output (default) | ||
| 921 | - `PETSC_VIEWER_STDOUT_WORLD` - synchronized standard output where only the | ||
| 922 | first process opens the file; all other processes send their data to the | ||
| 923 | first one to print | ||
| 924 | |||
| 925 | The user can open an alternative visualization context with `PetscViewerASCIIOpen()` | ||
| 926 | to output to a specified file. | ||
| 927 | |||
| 928 | Use `FNViewFromOptions()` to allow the user to select many different `PetscViewerType` | ||
| 929 | and formats from the options database. | ||
| 930 | |||
| 931 | Level: beginner | ||
| 932 | |||
| 933 | .seealso: [](sec:fn), `FNCreate()`, `FNViewFromOptions()` | ||
| 934 | @*/ | ||
| 935 | 1028 | PetscErrorCode FNView(FN fn,PetscViewer viewer) | |
| 936 | { | ||
| 937 | 1028 | PetscBool isascii; | |
| 938 | 1028 | PetscMPIInt size; | |
| 939 | |||
| 940 |
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1028 | PetscFunctionBegin; |
| 941 |
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1028 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 942 |
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1028 | if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)fn),&viewer)); |
| 943 |
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1028 | PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2); |
| 944 |
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1028 | PetscCheckSameComm(fn,1,viewer,2); |
| 945 |
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1028 | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); |
| 946 |
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1028 | if (isascii) { |
| 947 |
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1028 | PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)fn,viewer)); |
| 948 |
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1028 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)fn),&size)); |
| 949 |
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1028 | if (size>1) PetscCall(PetscViewerASCIIPrintf(viewer," parallel operation mode: %s\n",FNParallelTypes[fn->pmode])); |
| 950 |
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1028 | PetscCall(PetscViewerASCIIPushTab(viewer)); |
| 951 |
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1028 | PetscTryTypeMethod(fn,view,viewer); |
| 952 |
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1028 | PetscCall(PetscViewerASCIIPopTab(viewer)); |
| 953 | } | ||
| 954 |
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|
174 | PetscFunctionReturn(PETSC_SUCCESS); |
| 955 | } | ||
| 956 | |||
| 957 | /*@ | ||
| 958 | FNViewFromOptions - View (print) an `FN` object based on values in the options database. | ||
| 959 | |||
| 960 | Collective | ||
| 961 | |||
| 962 | Input Parameters: | ||
| 963 | + fn - the math function context | ||
| 964 | . obj - optional object that provides the options prefix used to query the options database | ||
| 965 | - name - command line option | ||
| 966 | |||
| 967 | Level: intermediate | ||
| 968 | |||
| 969 | .seealso: [](sec:fn), `FNView()`, `FNCreate()`, `PetscObjectViewFromOptions()` | ||
| 970 | @*/ | ||
| 971 | 3022 | PetscErrorCode FNViewFromOptions(FN fn,PetscObject obj,const char name[]) | |
| 972 | { | ||
| 973 |
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3022 | PetscFunctionBegin; |
| 974 |
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3022 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 975 |
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3022 | PetscCall(PetscObjectViewFromOptions((PetscObject)fn,obj,name)); |
| 976 |
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|
592 | PetscFunctionReturn(PETSC_SUCCESS); |
| 977 | } | ||
| 978 | |||
| 979 | /*@ | ||
| 980 | FNDuplicate - Duplicates a math function, copying all parameters, possibly with a | ||
| 981 | different communicator. | ||
| 982 | |||
| 983 | Collective | ||
| 984 | |||
| 985 | Input Parameters: | ||
| 986 | + fn - the math function context | ||
| 987 | - comm - MPI communicator | ||
| 988 | |||
| 989 | Output Parameter: | ||
| 990 | . newfn - location to put the new `FN` context | ||
| 991 | |||
| 992 | Note: | ||
| 993 | In order to use the same MPI communicator as in the original object, | ||
| 994 | use `PetscObjectComm`((`PetscObject`)`fn`). | ||
| 995 | |||
| 996 | Level: developer | ||
| 997 | |||
| 998 | .seealso: [](sec:fn), `FNCreate()` | ||
| 999 | @*/ | ||
| 1000 | 464 | PetscErrorCode FNDuplicate(FN fn,MPI_Comm comm,FN *newfn) | |
| 1001 | { | ||
| 1002 | 464 | FNType type; | |
| 1003 | 464 | PetscScalar alpha,beta; | |
| 1004 | 464 | PetscInt meth; | |
| 1005 | 464 | FNParallelType ptype; | |
| 1006 | |||
| 1007 |
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464 | PetscFunctionBegin; |
| 1008 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 1009 |
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464 | PetscValidType(fn,1); |
| 1010 |
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464 | PetscAssertPointer(newfn,3); |
| 1011 |
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464 | PetscCall(FNCreate(comm,newfn)); |
| 1012 |
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464 | PetscCall(FNGetType(fn,&type)); |
| 1013 |
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464 | PetscCall(FNSetType(*newfn,type)); |
| 1014 |
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464 | PetscCall(FNGetScale(fn,&alpha,&beta)); |
| 1015 |
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464 | PetscCall(FNSetScale(*newfn,alpha,beta)); |
| 1016 |
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464 | PetscCall(FNGetMethod(fn,&meth)); |
| 1017 |
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464 | PetscCall(FNSetMethod(*newfn,meth)); |
| 1018 |
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464 | PetscCall(FNGetParallel(fn,&ptype)); |
| 1019 |
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464 | PetscCall(FNSetParallel(*newfn,ptype)); |
| 1020 |
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464 | PetscTryTypeMethod(fn,duplicate,comm,newfn); |
| 1021 |
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|
88 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1022 | } | ||
| 1023 | |||
| 1024 | /*@ | ||
| 1025 | FNDestroy - Destroys an `FN` context that was created with `FNCreate()`. | ||
| 1026 | |||
| 1027 | Collective | ||
| 1028 | |||
| 1029 | Input Parameter: | ||
| 1030 | . fn - the math function context | ||
| 1031 | |||
| 1032 | Level: beginner | ||
| 1033 | |||
| 1034 | .seealso: [](sec:fn), `FNCreate()` | ||
| 1035 | @*/ | ||
| 1036 | 9070 | PetscErrorCode FNDestroy(FN *fn) | |
| 1037 | { | ||
| 1038 | 9070 | PetscInt i; | |
| 1039 | |||
| 1040 |
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9070 | PetscFunctionBegin; |
| 1041 |
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9070 | if (!*fn) PetscFunctionReturn(PETSC_SUCCESS); |
| 1042 |
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8673 | PetscValidHeaderSpecific(*fn,FN_CLASSID,1); |
| 1043 |
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8673 | if (--((PetscObject)*fn)->refct > 0) { *fn = NULL; PetscFunctionReturn(PETSC_SUCCESS); } |
| 1044 |
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4441 | PetscTryTypeMethod(*fn,destroy); |
| 1045 |
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5964 | for (i=0;i<(*fn)->nw;i++) PetscCall(MatDestroy(&(*fn)->W[i])); |
| 1046 |
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4441 | PetscCall(PetscHeaderDestroy(fn)); |
| 1047 |
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839 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1048 | } | ||
| 1049 | |||
| 1050 | /*@C | ||
| 1051 | FNRegister - Adds a mathematical function to the `FN` package. | ||
| 1052 | |||
| 1053 | Not Collective | ||
| 1054 | |||
| 1055 | Input Parameters: | ||
| 1056 | + name - name of a new user-defined `FN` | ||
| 1057 | - function - routine to create the context | ||
| 1058 | |||
| 1059 | Notes: | ||
| 1060 | `FNRegister()` may be called multiple times to add several user-defined functions. | ||
| 1061 | |||
| 1062 | Level: advanced | ||
| 1063 | |||
| 1064 | .seealso: [](sec:fn), `FNRegisterAll()` | ||
| 1065 | @*/ | ||
| 1066 | 13006 | PetscErrorCode FNRegister(const char *name,PetscErrorCode (*function)(FN)) | |
| 1067 | { | ||
| 1068 |
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13006 | PetscFunctionBegin; |
| 1069 |
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13006 | PetscCall(FNInitializePackage()); |
| 1070 |
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13006 | PetscCall(PetscFunctionListAdd(&FNList,name,function)); |
| 1071 |
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2359 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1072 | } | ||
| 1073 |