| 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: SlepcFinalize() | ||
| 32 | @*/ | ||
| 33 | 1804 | PetscErrorCode FNFinalizePackage(void) | |
| 34 | { | ||
| 35 |
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1804 | PetscFunctionBegin; |
| 36 |
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1804 | PetscCall(PetscFunctionListDestroy(&FNList)); |
| 37 | 1804 | FNPackageInitialized = PETSC_FALSE; | |
| 38 | 1804 | FNRegisterAllCalled = PETSC_FALSE; | |
| 39 |
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1804 | PetscFunctionReturn(PETSC_SUCCESS); |
| 40 | } | ||
| 41 | |||
| 42 | /*@C | ||
| 43 | FNInitializePackage - This function initializes everything in the FN package. | ||
| 44 | It is called from PetscDLLibraryRegister() when using dynamic libraries, and | ||
| 45 | on the first call to FNCreate() when using static libraries. | ||
| 46 | |||
| 47 | Level: developer | ||
| 48 | |||
| 49 | .seealso: SlepcInitialize() | ||
| 50 | @*/ | ||
| 51 | 16990 | PetscErrorCode FNInitializePackage(void) | |
| 52 | { | ||
| 53 | 16990 | char logList[256]; | |
| 54 | 16990 | PetscBool opt,pkg; | |
| 55 | 16990 | PetscClassId classids[1]; | |
| 56 | |||
| 57 |
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16990 | PetscFunctionBegin; |
| 58 |
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16990 | if (FNPackageInitialized) PetscFunctionReturn(PETSC_SUCCESS); |
| 59 | 1804 | FNPackageInitialized = PETSC_TRUE; | |
| 60 | /* Register Classes */ | ||
| 61 |
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1804 | PetscCall(PetscClassIdRegister("Math Function",&FN_CLASSID)); |
| 62 | /* Register Constructors */ | ||
| 63 |
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1804 | PetscCall(FNRegisterAll()); |
| 64 | /* Register Events */ | ||
| 65 |
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1804 | PetscCall(PetscLogEventRegister("FNEvaluate",FN_CLASSID,&FN_Evaluate)); |
| 66 | /* Process Info */ | ||
| 67 | 1804 | classids[0] = FN_CLASSID; | |
| 68 |
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1804 | PetscCall(PetscInfoProcessClass("fn",1,&classids[0])); |
| 69 | /* Process summary exclusions */ | ||
| 70 |
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1804 | PetscCall(PetscOptionsGetString(NULL,NULL,"-log_exclude",logList,sizeof(logList),&opt)); |
| 71 |
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1804 | if (opt) { |
| 72 |
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64 | PetscCall(PetscStrInList("fn",logList,',',&pkg)); |
| 73 |
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64 | if (pkg) PetscCall(PetscLogEventDeactivateClass(FN_CLASSID)); |
| 74 | } | ||
| 75 | /* Register package finalizer */ | ||
| 76 |
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1804 | PetscCall(PetscRegisterFinalize(FNFinalizePackage)); |
| 77 |
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329 | PetscFunctionReturn(PETSC_SUCCESS); |
| 78 | } | ||
| 79 | |||
| 80 | /*@ | ||
| 81 | FNCreate - Creates an FN context. | ||
| 82 | |||
| 83 | Collective | ||
| 84 | |||
| 85 | Input Parameter: | ||
| 86 | . comm - MPI communicator | ||
| 87 | |||
| 88 | Output Parameter: | ||
| 89 | . newfn - location to put the FN context | ||
| 90 | |||
| 91 | Level: beginner | ||
| 92 | |||
| 93 | .seealso: FNDestroy(), FN | ||
| 94 | @*/ | ||
| 95 | 4317 | PetscErrorCode FNCreate(MPI_Comm comm,FN *newfn) | |
| 96 | { | ||
| 97 | 4317 | FN fn; | |
| 98 | |||
| 99 |
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4317 | PetscFunctionBegin; |
| 100 |
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4317 | PetscAssertPointer(newfn,2); |
| 101 |
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4317 | PetscCall(FNInitializePackage()); |
| 102 |
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4317 | PetscCall(SlepcHeaderCreate(fn,FN_CLASSID,"FN","Math Function","FN",comm,FNDestroy,FNView)); |
| 103 | |||
| 104 | 4317 | fn->alpha = 1.0; | |
| 105 | 4317 | fn->beta = 1.0; | |
| 106 | 4317 | fn->method = 0; | |
| 107 | |||
| 108 | 4317 | fn->nw = 0; | |
| 109 | 4317 | fn->cw = 0; | |
| 110 | 4317 | fn->data = NULL; | |
| 111 | |||
| 112 | 4317 | *newfn = fn; | |
| 113 |
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4317 | PetscFunctionReturn(PETSC_SUCCESS); |
| 114 | } | ||
| 115 | |||
| 116 | /*@ | ||
| 117 | FNSetOptionsPrefix - Sets the prefix used for searching for all | ||
| 118 | FN options in the database. | ||
| 119 | |||
| 120 | Logically Collective | ||
| 121 | |||
| 122 | Input Parameters: | ||
| 123 | + fn - the math function context | ||
| 124 | - prefix - the prefix string to prepend to all FN option requests | ||
| 125 | |||
| 126 | Notes: | ||
| 127 | A hyphen (-) must NOT be given at the beginning of the prefix name. | ||
| 128 | The first character of all runtime options is AUTOMATICALLY the | ||
| 129 | hyphen. | ||
| 130 | |||
| 131 | Level: advanced | ||
| 132 | |||
| 133 | .seealso: FNAppendOptionsPrefix() | ||
| 134 | @*/ | ||
| 135 | 50 | PetscErrorCode FNSetOptionsPrefix(FN fn,const char *prefix) | |
| 136 | { | ||
| 137 |
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50 | PetscFunctionBegin; |
| 138 |
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50 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 139 |
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50 | PetscCall(PetscObjectSetOptionsPrefix((PetscObject)fn,prefix)); |
| 140 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 141 | } | ||
| 142 | |||
| 143 | /*@ | ||
| 144 | FNAppendOptionsPrefix - Appends to the prefix used for searching for all | ||
| 145 | FN options in the database. | ||
| 146 | |||
| 147 | Logically Collective | ||
| 148 | |||
| 149 | Input Parameters: | ||
| 150 | + fn - the math function context | ||
| 151 | - prefix - the prefix string to prepend to all FN option requests | ||
| 152 | |||
| 153 | Notes: | ||
| 154 | A hyphen (-) must NOT be given at the beginning of the prefix name. | ||
| 155 | The first character of all runtime options is AUTOMATICALLY the hyphen. | ||
| 156 | |||
| 157 | Level: advanced | ||
| 158 | |||
| 159 | .seealso: FNSetOptionsPrefix() | ||
| 160 | @*/ | ||
| 161 | 10 | PetscErrorCode FNAppendOptionsPrefix(FN fn,const char *prefix) | |
| 162 | { | ||
| 163 |
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10 | PetscFunctionBegin; |
| 164 |
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10 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 165 |
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10 | PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)fn,prefix)); |
| 166 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 167 | } | ||
| 168 | |||
| 169 | /*@ | ||
| 170 | FNGetOptionsPrefix - Gets the prefix used for searching for all | ||
| 171 | FN options in the database. | ||
| 172 | |||
| 173 | Not Collective | ||
| 174 | |||
| 175 | Input Parameters: | ||
| 176 | . fn - the math function context | ||
| 177 | |||
| 178 | Output Parameters: | ||
| 179 | . prefix - pointer to the prefix string used is returned | ||
| 180 | |||
| 181 | Note: | ||
| 182 | On the Fortran side, the user should pass in a string 'prefix' of | ||
| 183 | sufficient length to hold the prefix. | ||
| 184 | |||
| 185 | Level: advanced | ||
| 186 | |||
| 187 | .seealso: FNSetOptionsPrefix(), FNAppendOptionsPrefix() | ||
| 188 | @*/ | ||
| 189 | ✗ | PetscErrorCode FNGetOptionsPrefix(FN fn,const char *prefix[]) | |
| 190 | { | ||
| 191 | ✗ | PetscFunctionBegin; | |
| 192 | ✗ | PetscValidHeaderSpecific(fn,FN_CLASSID,1); | |
| 193 | ✗ | PetscAssertPointer(prefix,2); | |
| 194 | ✗ | PetscCall(PetscObjectGetOptionsPrefix((PetscObject)fn,prefix)); | |
| 195 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 196 | } | ||
| 197 | |||
| 198 | /*@ | ||
| 199 | FNSetType - Selects the type for the FN object. | ||
| 200 | |||
| 201 | Logically Collective | ||
| 202 | |||
| 203 | Input Parameters: | ||
| 204 | + fn - the math function context | ||
| 205 | - type - a known type | ||
| 206 | |||
| 207 | Notes: | ||
| 208 | The default is FNRATIONAL, which includes polynomials as a particular | ||
| 209 | case as well as simple functions such as f(x)=x and f(x)=constant. | ||
| 210 | |||
| 211 | Level: intermediate | ||
| 212 | |||
| 213 | .seealso: FNGetType() | ||
| 214 | @*/ | ||
| 215 | 4425 | PetscErrorCode FNSetType(FN fn,FNType type) | |
| 216 | { | ||
| 217 | 4425 | PetscErrorCode (*r)(FN); | |
| 218 | 4425 | PetscBool match; | |
| 219 | |||
| 220 |
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4425 | PetscFunctionBegin; |
| 221 |
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4425 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 222 |
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4425 | PetscAssertPointer(type,2); |
| 223 | |||
| 224 |
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4425 | PetscCall(PetscObjectTypeCompare((PetscObject)fn,type,&match)); |
| 225 |
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4425 | if (match) PetscFunctionReturn(PETSC_SUCCESS); |
| 226 | |||
| 227 |
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4347 | PetscCall(PetscFunctionListFind(FNList,type,&r)); |
| 228 |
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4347 | PetscCheck(r,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_UNKNOWN_TYPE,"Unable to find requested FN type %s",type); |
| 229 | |||
| 230 |
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4347 | PetscTryTypeMethod(fn,destroy); |
| 231 |
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4347 | PetscCall(PetscMemzero(fn->ops,sizeof(struct _FNOps))); |
| 232 | |||
| 233 |
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4347 | PetscCall(PetscObjectChangeTypeName((PetscObject)fn,type)); |
| 234 |
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4347 | PetscCall((*r)(fn)); |
| 235 |
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819 | PetscFunctionReturn(PETSC_SUCCESS); |
| 236 | } | ||
| 237 | |||
| 238 | /*@ | ||
| 239 | FNGetType - Gets the FN type name (as a string) from the FN context. | ||
| 240 | |||
| 241 | Not Collective | ||
| 242 | |||
| 243 | Input Parameter: | ||
| 244 | . fn - the math function context | ||
| 245 | |||
| 246 | Output Parameter: | ||
| 247 | . type - name of the math function | ||
| 248 | |||
| 249 | Level: intermediate | ||
| 250 | |||
| 251 | .seealso: FNSetType() | ||
| 252 | @*/ | ||
| 253 | 464 | PetscErrorCode FNGetType(FN fn,FNType *type) | |
| 254 | { | ||
| 255 |
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464 | PetscFunctionBegin; |
| 256 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 257 |
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464 | PetscAssertPointer(type,2); |
| 258 | 464 | *type = ((PetscObject)fn)->type_name; | |
| 259 |
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464 | PetscFunctionReturn(PETSC_SUCCESS); |
| 260 | } | ||
| 261 | |||
| 262 | /*@ | ||
| 263 | FNSetScale - Sets the scaling parameters that define the matematical function. | ||
| 264 | |||
| 265 | Logically Collective | ||
| 266 | |||
| 267 | Input Parameters: | ||
| 268 | + fn - the math function context | ||
| 269 | . alpha - inner scaling (argument) | ||
| 270 | - beta - outer scaling (result) | ||
| 271 | |||
| 272 | Notes: | ||
| 273 | Given a function f(x) specified by the FN type, the scaling parameters can | ||
| 274 | be used to realize the function beta*f(alpha*x). So when these values are given, | ||
| 275 | the procedure for function evaluation will first multiply the argument by alpha, | ||
| 276 | then evaluate the function itself, and finally scale the result by beta. | ||
| 277 | Likewise, these values are also considered when evaluating the derivative. | ||
| 278 | |||
| 279 | If you want to provide only one of the two scaling factors, set the other | ||
| 280 | one to 1.0. | ||
| 281 | |||
| 282 | Level: intermediate | ||
| 283 | |||
| 284 | .seealso: FNGetScale(), FNEvaluateFunction() | ||
| 285 | @*/ | ||
| 286 | 1774 | PetscErrorCode FNSetScale(FN fn,PetscScalar alpha,PetscScalar beta) | |
| 287 | { | ||
| 288 |
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1774 | PetscFunctionBegin; |
| 289 |
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1774 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 290 |
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1774 | PetscValidLogicalCollectiveScalar(fn,alpha,2); |
| 291 |
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1774 | PetscValidLogicalCollectiveScalar(fn,beta,3); |
| 292 |
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1774 | PetscCheck(PetscAbsScalar(alpha)!=0.0 && PetscAbsScalar(beta)!=0.0,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_WRONG,"Scaling factors must be nonzero"); |
| 293 | 1774 | fn->alpha = alpha; | |
| 294 | 1774 | fn->beta = beta; | |
| 295 |
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1774 | PetscFunctionReturn(PETSC_SUCCESS); |
| 296 | } | ||
| 297 | |||
| 298 | /*@ | ||
| 299 | FNGetScale - Gets the scaling parameters that define the matematical function. | ||
| 300 | |||
| 301 | Not Collective | ||
| 302 | |||
| 303 | Input Parameter: | ||
| 304 | . fn - the math function context | ||
| 305 | |||
| 306 | Output Parameters: | ||
| 307 | + alpha - inner scaling (argument) | ||
| 308 | - beta - outer scaling (result) | ||
| 309 | |||
| 310 | Level: intermediate | ||
| 311 | |||
| 312 | .seealso: FNSetScale() | ||
| 313 | @*/ | ||
| 314 | 7229 | PetscErrorCode FNGetScale(FN fn,PetscScalar *alpha,PetscScalar *beta) | |
| 315 | { | ||
| 316 |
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7229 | PetscFunctionBegin; |
| 317 |
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7229 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 318 |
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7229 | if (alpha) *alpha = fn->alpha; |
| 319 |
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7229 | if (beta) *beta = fn->beta; |
| 320 |
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7229 | PetscFunctionReturn(PETSC_SUCCESS); |
| 321 | } | ||
| 322 | |||
| 323 | /*@ | ||
| 324 | FNSetMethod - Selects the method to be used to evaluate functions of matrices. | ||
| 325 | |||
| 326 | Logically Collective | ||
| 327 | |||
| 328 | Input Parameters: | ||
| 329 | + fn - the math function context | ||
| 330 | - meth - an index identifying the method | ||
| 331 | |||
| 332 | Options Database Key: | ||
| 333 | . -fn_method <meth> - Sets the method | ||
| 334 | |||
| 335 | Notes: | ||
| 336 | In some FN types there are more than one algorithms available for computing | ||
| 337 | matrix functions. In that case, this function allows choosing the wanted method. | ||
| 338 | |||
| 339 | If meth is currently set to 0 (the default) and the input argument A of | ||
| 340 | FNEvaluateFunctionMat() is a symmetric/Hermitian matrix, then the computation | ||
| 341 | is done via the eigendecomposition of A, rather than with the general algorithm. | ||
| 342 | |||
| 343 | Level: intermediate | ||
| 344 | |||
| 345 | .seealso: FNGetMethod(), FNEvaluateFunctionMat() | ||
| 346 | @*/ | ||
| 347 | 888 | PetscErrorCode FNSetMethod(FN fn,PetscInt meth) | |
| 348 | { | ||
| 349 |
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888 | PetscFunctionBegin; |
| 350 |
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888 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 351 |
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888 | PetscValidLogicalCollectiveInt(fn,meth,2); |
| 352 |
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888 | PetscCheck(meth>=0,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"The method must be a non-negative integer"); |
| 353 |
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888 | PetscCheck(meth<=FN_MAX_SOLVE,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"Too large value for the method"); |
| 354 | 888 | fn->method = meth; | |
| 355 |
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888 | PetscFunctionReturn(PETSC_SUCCESS); |
| 356 | } | ||
| 357 | |||
| 358 | /*@ | ||
| 359 | FNGetMethod - Gets the method currently used in the FN. | ||
| 360 | |||
| 361 | Not Collective | ||
| 362 | |||
| 363 | Input Parameter: | ||
| 364 | . fn - the math function context | ||
| 365 | |||
| 366 | Output Parameter: | ||
| 367 | . meth - identifier of the method | ||
| 368 | |||
| 369 | Level: intermediate | ||
| 370 | |||
| 371 | .seealso: FNSetMethod() | ||
| 372 | @*/ | ||
| 373 | 464 | PetscErrorCode FNGetMethod(FN fn,PetscInt *meth) | |
| 374 | { | ||
| 375 |
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464 | PetscFunctionBegin; |
| 376 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 377 |
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464 | PetscAssertPointer(meth,2); |
| 378 | 464 | *meth = fn->method; | |
| 379 |
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464 | PetscFunctionReturn(PETSC_SUCCESS); |
| 380 | } | ||
| 381 | |||
| 382 | /*@ | ||
| 383 | FNSetParallel - Selects the mode of operation in parallel runs. | ||
| 384 | |||
| 385 | Logically Collective | ||
| 386 | |||
| 387 | Input Parameters: | ||
| 388 | + fn - the math function context | ||
| 389 | - pmode - the parallel mode | ||
| 390 | |||
| 391 | Options Database Key: | ||
| 392 | . -fn_parallel <mode> - Sets the parallel mode, either 'redundant' or 'synchronized' | ||
| 393 | |||
| 394 | Notes: | ||
| 395 | This is relevant only when the function is evaluated on a matrix, with | ||
| 396 | either FNEvaluateFunctionMat() or FNEvaluateFunctionMatVec(). | ||
| 397 | |||
| 398 | In the 'redundant' parallel mode, all processes will make the computation | ||
| 399 | redundantly, starting from the same data, and producing the same result. | ||
| 400 | This result may be slightly different in the different processes if using a | ||
| 401 | multithreaded BLAS library, which may cause issues in ill-conditioned problems. | ||
| 402 | |||
| 403 | In the 'synchronized' parallel mode, only the first MPI process performs the | ||
| 404 | computation and then the computed matrix is broadcast to the other | ||
| 405 | processes in the communicator. This communication is done automatically at | ||
| 406 | the end of FNEvaluateFunctionMat() or FNEvaluateFunctionMatVec(). | ||
| 407 | |||
| 408 | Level: advanced | ||
| 409 | |||
| 410 | .seealso: FNEvaluateFunctionMat() or FNEvaluateFunctionMatVec(), FNGetParallel() | ||
| 411 | @*/ | ||
| 412 | 524 | PetscErrorCode FNSetParallel(FN fn,FNParallelType pmode) | |
| 413 | { | ||
| 414 |
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524 | PetscFunctionBegin; |
| 415 |
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524 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 416 |
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524 | PetscValidLogicalCollectiveEnum(fn,pmode,2); |
| 417 | 524 | fn->pmode = pmode; | |
| 418 |
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524 | PetscFunctionReturn(PETSC_SUCCESS); |
| 419 | } | ||
| 420 | |||
| 421 | /*@ | ||
| 422 | FNGetParallel - Gets the mode of operation in parallel runs. | ||
| 423 | |||
| 424 | Not Collective | ||
| 425 | |||
| 426 | Input Parameter: | ||
| 427 | . fn - the math function context | ||
| 428 | |||
| 429 | Output Parameter: | ||
| 430 | . pmode - the parallel mode | ||
| 431 | |||
| 432 | Level: advanced | ||
| 433 | |||
| 434 | .seealso: FNSetParallel() | ||
| 435 | @*/ | ||
| 436 | 464 | PetscErrorCode FNGetParallel(FN fn,FNParallelType *pmode) | |
| 437 | { | ||
| 438 |
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464 | PetscFunctionBegin; |
| 439 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 440 |
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464 | PetscAssertPointer(pmode,2); |
| 441 | 464 | *pmode = fn->pmode; | |
| 442 |
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464 | PetscFunctionReturn(PETSC_SUCCESS); |
| 443 | } | ||
| 444 | |||
| 445 | /*@ | ||
| 446 | FNEvaluateFunction - Computes the value of the function f(x) for a given x. | ||
| 447 | |||
| 448 | Not Collective | ||
| 449 | |||
| 450 | Input Parameters: | ||
| 451 | + fn - the math function context | ||
| 452 | - x - the value where the function must be evaluated | ||
| 453 | |||
| 454 | Output Parameter: | ||
| 455 | . y - the result of f(x) | ||
| 456 | |||
| 457 | Note: | ||
| 458 | Scaling factors are taken into account, so the actual function evaluation | ||
| 459 | will return beta*f(alpha*x). | ||
| 460 | |||
| 461 | Level: intermediate | ||
| 462 | |||
| 463 | .seealso: FNEvaluateDerivative(), FNEvaluateFunctionMat(), FNSetScale() | ||
| 464 | @*/ | ||
| 465 | 122782 | PetscErrorCode FNEvaluateFunction(FN fn,PetscScalar x,PetscScalar *y) | |
| 466 | { | ||
| 467 | 122782 | PetscScalar xf,yf; | |
| 468 | |||
| 469 |
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122782 | PetscFunctionBegin; |
| 470 |
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122782 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 471 |
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122782 | PetscValidType(fn,1); |
| 472 |
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122782 | PetscAssertPointer(y,3); |
| 473 |
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122782 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 474 | 122782 | xf = fn->alpha*x; | |
| 475 |
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122782 | PetscUseTypeMethod(fn,evaluatefunction,xf,&yf); |
| 476 | 122782 | *y = fn->beta*yf; | |
| 477 |
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122782 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 478 |
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24521 | PetscFunctionReturn(PETSC_SUCCESS); |
| 479 | } | ||
| 480 | |||
| 481 | /*@ | ||
| 482 | FNEvaluateDerivative - Computes the value of the derivative f'(x) for a given x. | ||
| 483 | |||
| 484 | Not Collective | ||
| 485 | |||
| 486 | Input Parameters: | ||
| 487 | + fn - the math function context | ||
| 488 | - x - the value where the derivative must be evaluated | ||
| 489 | |||
| 490 | Output Parameter: | ||
| 491 | . y - the result of f'(x) | ||
| 492 | |||
| 493 | Note: | ||
| 494 | Scaling factors are taken into account, so the actual derivative evaluation will | ||
| 495 | return alpha*beta*f'(alpha*x). | ||
| 496 | |||
| 497 | Level: intermediate | ||
| 498 | |||
| 499 | .seealso: FNEvaluateFunction() | ||
| 500 | @*/ | ||
| 501 | 43705 | PetscErrorCode FNEvaluateDerivative(FN fn,PetscScalar x,PetscScalar *y) | |
| 502 | { | ||
| 503 | 43705 | PetscScalar xf,yf; | |
| 504 | |||
| 505 |
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43705 | PetscFunctionBegin; |
| 506 |
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43705 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 507 |
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43705 | PetscValidType(fn,1); |
| 508 |
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43705 | PetscAssertPointer(y,3); |
| 509 |
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43705 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 510 | 43705 | xf = fn->alpha*x; | |
| 511 |
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43705 | PetscUseTypeMethod(fn,evaluatederivative,xf,&yf); |
| 512 | 43705 | *y = fn->alpha*fn->beta*yf; | |
| 513 |
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43705 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 514 |
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8538 | PetscFunctionReturn(PETSC_SUCCESS); |
| 515 | } | ||
| 516 | |||
| 517 | 434 | static PetscErrorCode FNEvaluateFunctionMat_Sym_Private(FN fn,const PetscScalar *As,PetscScalar *Bs,PetscInt m,PetscBool firstonly) | |
| 518 | { | ||
| 519 | 434 | PetscInt i,j; | |
| 520 | 434 | PetscBLASInt n,k,ld,lwork,info; | |
| 521 | 434 | PetscScalar *Q,*W,*work,adummy,a,x,y,one=1.0,zero=0.0; | |
| 522 | 434 | PetscReal *eig,dummy; | |
| 523 | #if defined(PETSC_USE_COMPLEX) | ||
| 524 | 217 | PetscReal *rwork,rdummy; | |
| 525 | #endif | ||
| 526 | |||
| 527 |
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434 | PetscFunctionBegin; |
| 528 |
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434 | PetscCall(PetscBLASIntCast(m,&n)); |
| 529 | 434 | ld = n; | |
| 530 |
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434 | k = firstonly? 1: n; |
| 531 | |||
| 532 | /* workspace query and memory allocation */ | ||
| 533 | 434 | lwork = -1; | |
| 534 | #if defined(PETSC_USE_COMPLEX) | ||
| 535 |
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217 | PetscCallBLAS("LAPACKsyev",LAPACKsyev_("V","L",&n,&adummy,&ld,&dummy,&a,&lwork,&rdummy,&info)); |
| 536 |
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217 | PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(a),&lwork)); |
| 537 |
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217 | PetscCall(PetscMalloc5(m,&eig,m*m,&Q,m*k,&W,lwork,&work,PetscMax(1,3*m-2),&rwork)); |
| 538 | #else | ||
| 539 |
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217 | PetscCallBLAS("LAPACKsyev",LAPACKsyev_("V","L",&n,&adummy,&ld,&dummy,&a,&lwork,&info)); |
| 540 |
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217 | PetscCall(PetscBLASIntCast((PetscInt)a,&lwork)); |
| 541 |
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217 | PetscCall(PetscMalloc4(m,&eig,m*m,&Q,m*k,&W,lwork,&work)); |
| 542 | #endif | ||
| 543 | |||
| 544 | /* compute eigendecomposition */ | ||
| 545 |
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589514 | for (j=0;j<n;j++) for (i=j;i<n;i++) Q[i+j*ld] = As[i+j*ld]; |
| 546 | #if defined(PETSC_USE_COMPLEX) | ||
| 547 |
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217 | PetscCallBLAS("LAPACKsyev",LAPACKsyev_("V","L",&n,Q,&ld,eig,work,&lwork,rwork,&info)); |
| 548 | #else | ||
| 549 |
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217 | PetscCallBLAS("LAPACKsyev",LAPACKsyev_("V","L",&n,Q,&ld,eig,work,&lwork,&info)); |
| 550 | #endif | ||
| 551 |
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434 | SlepcCheckLapackInfo("syev",info); |
| 552 | |||
| 553 | /* W = f(Lambda)*Q' */ | ||
| 554 |
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14456 | for (i=0;i<n;i++) { |
| 555 | 14022 | x = fn->alpha*eig[i]; | |
| 556 |
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14022 | PetscUseTypeMethod(fn,evaluatefunction,x,&y); /* y = f(x) */ |
| 557 |
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581496 | for (j=0;j<k;j++) W[i+j*ld] = PetscConj(Q[j+i*ld])*fn->beta*y; |
| 558 | } | ||
| 559 | /* Bs = Q*W */ | ||
| 560 |
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434 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n,&k,&n,&one,Q,&ld,W,&ld,&zero,Bs,&ld)); |
| 561 | #if defined(PETSC_USE_COMPLEX) | ||
| 562 |
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217 | PetscCall(PetscFree5(eig,Q,W,work,rwork)); |
| 563 | #else | ||
| 564 |
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217 | PetscCall(PetscFree4(eig,Q,W,work)); |
| 565 | #endif | ||
| 566 |
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434 | PetscCall(PetscLogFlops(9.0*n*n*n+2.0*n*n*n)); |
| 567 |
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434 | PetscFunctionReturn(PETSC_SUCCESS); |
| 568 | } | ||
| 569 | |||
| 570 | /* | ||
| 571 | FNEvaluateFunctionMat_Sym_Default - given a symmetric matrix A, | ||
| 572 | compute the matrix function as f(A)=Q*f(D)*Q' where the spectral | ||
| 573 | decomposition of A is A=Q*D*Q' | ||
| 574 | */ | ||
| 575 | 196 | static PetscErrorCode FNEvaluateFunctionMat_Sym_Default(FN fn,Mat A,Mat B) | |
| 576 | { | ||
| 577 | 196 | PetscInt m; | |
| 578 | 196 | const PetscScalar *As; | |
| 579 | 196 | PetscScalar *Bs; | |
| 580 | |||
| 581 |
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196 | PetscFunctionBegin; |
| 582 |
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196 | PetscCall(MatDenseGetArrayRead(A,&As)); |
| 583 |
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196 | PetscCall(MatDenseGetArray(B,&Bs)); |
| 584 |
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196 | PetscCall(MatGetSize(A,&m,NULL)); |
| 585 |
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196 | PetscCall(FNEvaluateFunctionMat_Sym_Private(fn,As,Bs,m,PETSC_FALSE)); |
| 586 |
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196 | PetscCall(MatDenseRestoreArrayRead(A,&As)); |
| 587 |
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196 | PetscCall(MatDenseRestoreArray(B,&Bs)); |
| 588 |
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38 | PetscFunctionReturn(PETSC_SUCCESS); |
| 589 | } | ||
| 590 | |||
| 591 | 18991 | static PetscErrorCode FNEvaluateFunctionMat_Basic(FN fn,Mat A,Mat F) | |
| 592 | { | ||
| 593 | 18991 | PetscBool iscuda; | |
| 594 | |||
| 595 |
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18991 | PetscFunctionBegin; |
| 596 |
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18991 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 597 |
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18991 | 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)); |
| 598 |
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18991 | if (iscuda && fn->ops->evaluatefunctionmatcuda[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmatcuda[fn->method],A,F); |
| 599 |
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18655 | else if (fn->ops->evaluatefunctionmat[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmat[fn->method],A,F); |
| 600 | else { | ||
| 601 | ✗ | PetscCheck(fn->method,PetscObjectComm((PetscObject)fn),PETSC_ERR_SUP,"Matrix functions not implemented in this FN type"); | |
| 602 | ✗ | PetscCheck(!fn->method,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"The specified method number does not exist for this FN type"); | |
| 603 | } | ||
| 604 |
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3700 | PetscFunctionReturn(PETSC_SUCCESS); |
| 605 | } | ||
| 606 | |||
| 607 | 16471 | PetscErrorCode FNEvaluateFunctionMat_Private(FN fn,Mat A,Mat B,PetscBool sync) | |
| 608 | { | ||
| 609 | 16471 | PetscBool set,flg,symm=PETSC_FALSE,iscuda,hasspecificmeth; | |
| 610 | 16471 | PetscInt m,n; | |
| 611 | 16471 | PetscMPIInt size,rank,n2; | |
| 612 | 16471 | PetscScalar *pF; | |
| 613 | 16471 | Mat M,F; | |
| 614 | |||
| 615 |
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16471 | PetscFunctionBegin; |
| 616 | /* destination matrix */ | ||
| 617 |
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16471 | F = B?B:A; |
| 618 | |||
| 619 | /* check symmetry of A */ | ||
| 620 |
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16471 | PetscCall(MatIsHermitianKnown(A,&set,&flg)); |
| 621 |
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16471 | symm = set? flg: PETSC_FALSE; |
| 622 | |||
| 623 |
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16471 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)fn),&size)); |
| 624 |
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16471 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)fn),&rank)); |
| 625 |
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16471 | if (size==1 || fn->pmode==FN_PARALLEL_REDUNDANT || (fn->pmode==FN_PARALLEL_SYNCHRONIZED && !rank)) { |
| 626 |
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16351 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 627 |
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16351 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 628 |
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|
16351 | hasspecificmeth = ((iscuda && fn->ops->evaluatefunctionmatcuda[fn->method]) || (!iscuda && fn->method && fn->ops->evaluatefunctionmat[fn->method]))? PETSC_TRUE: PETSC_FALSE; |
| 629 |
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16351 | if (!hasspecificmeth && symm && !fn->method) { /* prefer diagonalization */ |
| 630 |
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|
196 | PetscCall(PetscInfo(fn,"Computing matrix function via diagonalization\n")); |
| 631 |
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|
196 | PetscCall(FNEvaluateFunctionMat_Sym_Default(fn,A,F)); |
| 632 | } else { | ||
| 633 | /* scale argument */ | ||
| 634 |
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|
16155 | if (fn->alpha!=(PetscScalar)1.0) { |
| 635 |
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|
2910 | PetscCall(FN_AllocateWorkMat(fn,A,&M)); |
| 636 |
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|
2910 | PetscCall(MatScale(M,fn->alpha)); |
| 637 | 13245 | } else M = A; | |
| 638 |
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16155 | PetscCall(FNEvaluateFunctionMat_Basic(fn,M,F)); |
| 639 |
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16155 | if (fn->alpha!=(PetscScalar)1.0) PetscCall(FN_FreeWorkMat(fn,&M)); |
| 640 | /* scale result */ | ||
| 641 |
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16155 | PetscCall(MatScale(F,fn->beta)); |
| 642 | } | ||
| 643 |
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16351 | PetscCall(PetscFPTrapPop()); |
| 644 | } | ||
| 645 |
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16471 | if (size>1 && fn->pmode==FN_PARALLEL_SYNCHRONIZED && sync) { /* synchronize */ |
| 646 |
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180 | PetscCall(MatGetSize(A,&m,&n)); |
| 647 |
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180 | PetscCall(MatDenseGetArray(F,&pF)); |
| 648 |
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180 | PetscCall(PetscMPIIntCast(n*n,&n2)); |
| 649 |
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|
360 | PetscCallMPI(MPI_Bcast(pF,n2,MPIU_SCALAR,0,PetscObjectComm((PetscObject)fn))); |
| 650 |
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180 | PetscCall(MatDenseRestoreArray(F,&pF)); |
| 651 | } | ||
| 652 |
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|
3224 | PetscFunctionReturn(PETSC_SUCCESS); |
| 653 | } | ||
| 654 | |||
| 655 | /*@ | ||
| 656 | FNEvaluateFunctionMat - Computes the value of the function f(A) for a given | ||
| 657 | matrix A, where the result is also a matrix. | ||
| 658 | |||
| 659 | Logically Collective | ||
| 660 | |||
| 661 | Input Parameters: | ||
| 662 | + fn - the math function context | ||
| 663 | - A - matrix on which the function must be evaluated | ||
| 664 | |||
| 665 | Output Parameter: | ||
| 666 | . B - (optional) matrix resulting from evaluating f(A) | ||
| 667 | |||
| 668 | Notes: | ||
| 669 | Matrix A must be a square sequential dense Mat, with all entries equal on | ||
| 670 | all processes (otherwise each process will compute different results). | ||
| 671 | If matrix B is provided, it must also be a square sequential dense Mat, and | ||
| 672 | both matrices must have the same dimensions. If B is NULL (or B=A) then the | ||
| 673 | function will perform an in-place computation, overwriting A with f(A). | ||
| 674 | |||
| 675 | If A is known to be real symmetric or complex Hermitian then it is | ||
| 676 | recommended to set the appropriate flag with MatSetOption(), because | ||
| 677 | symmetry can sometimes be exploited by the algorithm. | ||
| 678 | |||
| 679 | Scaling factors are taken into account, so the actual function evaluation | ||
| 680 | will return beta*f(alpha*A). | ||
| 681 | |||
| 682 | Level: advanced | ||
| 683 | |||
| 684 | .seealso: FNEvaluateFunction(), FNEvaluateFunctionMatVec(), FNSetMethod() | ||
| 685 | @*/ | ||
| 686 | 15937 | PetscErrorCode FNEvaluateFunctionMat(FN fn,Mat A,Mat B) | |
| 687 | { | ||
| 688 | 15937 | PetscBool inplace=PETSC_FALSE; | |
| 689 | 15937 | PetscInt m,n,n1; | |
| 690 | 15937 | MatType type; | |
| 691 | |||
| 692 |
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15937 | PetscFunctionBegin; |
| 693 |
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15937 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 694 |
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15937 | PetscValidHeaderSpecific(A,MAT_CLASSID,2); |
| 695 |
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15937 | PetscValidType(fn,1); |
| 696 |
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15937 | PetscValidType(A,2); |
| 697 |
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15937 | if (B) { |
| 698 |
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3035 | PetscValidHeaderSpecific(B,MAT_CLASSID,3); |
| 699 |
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3035 | PetscValidType(B,3); |
| 700 | 460 | } else inplace = PETSC_TRUE; | |
| 701 |
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15937 | PetscCheckTypeNames(A,MATSEQDENSE,MATSEQDENSECUDA); //SlepcMatCheckSeq(A); |
| 702 |
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|
15937 | PetscCall(MatGetSize(A,&m,&n)); |
| 703 |
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15937 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Mat A is not square (has %" PetscInt_FMT " rows, %" PetscInt_FMT " cols)",m,n); |
| 704 |
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15937 | if (!inplace) { |
| 705 |
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15378 | PetscCall(MatGetType(A,&type)); |
| 706 |
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15378 | PetscCheckTypeName(B,type); |
| 707 | 15378 | n1 = n; | |
| 708 |
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15378 | PetscCall(MatGetSize(B,&m,&n)); |
| 709 |
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15378 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Mat B is not square (has %" PetscInt_FMT " rows, %" PetscInt_FMT " cols)",m,n); |
| 710 |
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15378 | PetscCheck(n1==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Matrices A and B must have the same dimension"); |
| 711 | } | ||
| 712 | |||
| 713 | /* evaluate matrix function */ | ||
| 714 |
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|
15937 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 715 |
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15937 | PetscCall(FNEvaluateFunctionMat_Private(fn,A,B,PETSC_TRUE)); |
| 716 |
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15937 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 717 |
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|
3134 | PetscFunctionReturn(PETSC_SUCCESS); |
| 718 | } | ||
| 719 | |||
| 720 | /* | ||
| 721 | FNEvaluateFunctionMatVec_Default - computes the full matrix f(A) | ||
| 722 | and then copies the first column. | ||
| 723 | */ | ||
| 724 | 2836 | static PetscErrorCode FNEvaluateFunctionMatVec_Default(FN fn,Mat A,Vec v) | |
| 725 | { | ||
| 726 | 2836 | Mat F; | |
| 727 | |||
| 728 |
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2836 | PetscFunctionBegin; |
| 729 |
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2836 | PetscCall(FN_AllocateWorkMat(fn,A,&F)); |
| 730 |
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2836 | PetscCall(FNEvaluateFunctionMat_Basic(fn,A,F)); |
| 731 |
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2836 | PetscCall(MatGetColumnVector(F,v,0)); |
| 732 |
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2836 | PetscCall(FN_FreeWorkMat(fn,&F)); |
| 733 |
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|
538 | PetscFunctionReturn(PETSC_SUCCESS); |
| 734 | } | ||
| 735 | |||
| 736 | /* | ||
| 737 | FNEvaluateFunctionMatVec_Sym_Default - given a symmetric matrix A, | ||
| 738 | compute the matrix function as f(A)=Q*f(D)*Q' where the spectral | ||
| 739 | decomposition of A is A=Q*D*Q'. Only the first column is computed. | ||
| 740 | */ | ||
| 741 | 238 | static PetscErrorCode FNEvaluateFunctionMatVec_Sym_Default(FN fn,Mat A,Vec v) | |
| 742 | { | ||
| 743 | 238 | PetscInt m; | |
| 744 | 238 | const PetscScalar *As; | |
| 745 | 238 | PetscScalar *vs; | |
| 746 | |||
| 747 |
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238 | PetscFunctionBegin; |
| 748 |
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238 | PetscCall(MatDenseGetArrayRead(A,&As)); |
| 749 |
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238 | PetscCall(VecGetArray(v,&vs)); |
| 750 |
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238 | PetscCall(MatGetSize(A,&m,NULL)); |
| 751 |
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238 | PetscCall(FNEvaluateFunctionMat_Sym_Private(fn,As,vs,m,PETSC_TRUE)); |
| 752 |
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238 | PetscCall(MatDenseRestoreArrayRead(A,&As)); |
| 753 |
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238 | PetscCall(VecRestoreArray(v,&vs)); |
| 754 |
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|
47 | PetscFunctionReturn(PETSC_SUCCESS); |
| 755 | } | ||
| 756 | |||
| 757 | 4431 | PetscErrorCode FNEvaluateFunctionMatVec_Private(FN fn,Mat A,Vec v,PetscBool sync) | |
| 758 | { | ||
| 759 | 4431 | PetscBool set,flg,symm=PETSC_FALSE,iscuda,hasspecificmeth; | |
| 760 | 4431 | PetscInt m,n; | |
| 761 | 4431 | Mat M; | |
| 762 | 4431 | PetscMPIInt size,rank,n_; | |
| 763 | 4431 | PetscScalar *pv; | |
| 764 | |||
| 765 |
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4431 | PetscFunctionBegin; |
| 766 | /* check symmetry of A */ | ||
| 767 |
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4431 | PetscCall(MatIsHermitianKnown(A,&set,&flg)); |
| 768 |
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|
4431 | symm = set? flg: PETSC_FALSE; |
| 769 | |||
| 770 | /* evaluate matrix function */ | ||
| 771 |
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4431 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)fn),&size)); |
| 772 |
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4431 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)fn),&rank)); |
| 773 |
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|
4431 | if (size==1 || fn->pmode==FN_PARALLEL_REDUNDANT || (fn->pmode==FN_PARALLEL_SYNCHRONIZED && !rank)) { |
| 774 |
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4311 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 775 |
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4311 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 776 |
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4311 | hasspecificmeth = ((iscuda && fn->ops->evaluatefunctionmatcuda[fn->method]) || (!iscuda && fn->method && fn->ops->evaluatefunctionmat[fn->method]))? PETSC_TRUE: PETSC_FALSE; |
| 777 |
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4311 | if (!hasspecificmeth && symm && !fn->method) { /* prefer diagonalization */ |
| 778 |
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238 | PetscCall(PetscInfo(fn,"Computing matrix function via diagonalization\n")); |
| 779 |
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238 | PetscCall(FNEvaluateFunctionMatVec_Sym_Default(fn,A,v)); |
| 780 | } else { | ||
| 781 | /* scale argument */ | ||
| 782 |
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4073 | if (fn->alpha!=(PetscScalar)1.0) { |
| 783 |
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2963 | PetscCall(FN_AllocateWorkMat(fn,A,&M)); |
| 784 |
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2963 | PetscCall(MatScale(M,fn->alpha)); |
| 785 | 1110 | } else M = A; | |
| 786 |
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4073 | if (iscuda && fn->ops->evaluatefunctionmatveccuda[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmatveccuda[fn->method],M,v); |
| 787 |
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4025 | else if (fn->ops->evaluatefunctionmatvec[fn->method]) PetscUseTypeMethod(fn,evaluatefunctionmatvec[fn->method],M,v); |
| 788 |
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|
2836 | else PetscCall(FNEvaluateFunctionMatVec_Default(fn,M,v)); |
| 789 |
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4073 | if (fn->alpha!=(PetscScalar)1.0) PetscCall(FN_FreeWorkMat(fn,&M)); |
| 790 | /* scale result */ | ||
| 791 |
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4073 | PetscCall(VecScale(v,fn->beta)); |
| 792 | } | ||
| 793 |
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4311 | PetscCall(PetscFPTrapPop()); |
| 794 | } | ||
| 795 | |||
| 796 | /* synchronize */ | ||
| 797 |
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4431 | if (size>1 && fn->pmode==FN_PARALLEL_SYNCHRONIZED && sync) { |
| 798 |
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180 | PetscCall(MatGetSize(A,&m,&n)); |
| 799 |
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180 | PetscCall(VecGetArray(v,&pv)); |
| 800 |
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180 | PetscCall(PetscMPIIntCast(n,&n_)); |
| 801 |
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|
360 | PetscCallMPI(MPI_Bcast(pv,n_,MPIU_SCALAR,0,PetscObjectComm((PetscObject)fn))); |
| 802 |
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|
180 | PetscCall(VecRestoreArray(v,&pv)); |
| 803 | } | ||
| 804 |
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|
842 | PetscFunctionReturn(PETSC_SUCCESS); |
| 805 | } | ||
| 806 | |||
| 807 | /*@ | ||
| 808 | FNEvaluateFunctionMatVec - Computes the first column of the matrix f(A) | ||
| 809 | for a given matrix A. | ||
| 810 | |||
| 811 | Logically Collective | ||
| 812 | |||
| 813 | Input Parameters: | ||
| 814 | + fn - the math function context | ||
| 815 | - A - matrix on which the function must be evaluated | ||
| 816 | |||
| 817 | Output Parameter: | ||
| 818 | . v - vector to hold the first column of f(A) | ||
| 819 | |||
| 820 | Notes: | ||
| 821 | This operation is similar to FNEvaluateFunctionMat() but returns only | ||
| 822 | the first column of f(A), hence saving computations in most cases. | ||
| 823 | |||
| 824 | Level: advanced | ||
| 825 | |||
| 826 | .seealso: FNEvaluateFunction(), FNEvaluateFunctionMat(), FNSetMethod() | ||
| 827 | @*/ | ||
| 828 | 3691 | PetscErrorCode FNEvaluateFunctionMatVec(FN fn,Mat A,Vec v) | |
| 829 | { | ||
| 830 | 3691 | PetscInt m,n; | |
| 831 | 3691 | PetscBool iscuda; | |
| 832 | |||
| 833 |
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3691 | PetscFunctionBegin; |
| 834 |
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3691 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 835 |
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3691 | PetscValidHeaderSpecific(A,MAT_CLASSID,2); |
| 836 |
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3691 | PetscValidHeaderSpecific(v,VEC_CLASSID,3); |
| 837 |
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3691 | PetscValidType(fn,1); |
| 838 |
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3691 | PetscValidType(A,2); |
| 839 |
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3691 | PetscValidType(v,3); |
| 840 |
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3691 | PetscCheckTypeNames(A,MATSEQDENSE,MATSEQDENSECUDA); //SlepcMatCheckSeq(A); |
| 841 |
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3691 | PetscCall(MatGetSize(A,&m,&n)); |
| 842 |
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3691 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Mat A is not square (has %" PetscInt_FMT " rows, %" PetscInt_FMT " cols)",m,n); |
| 843 |
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3691 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 844 |
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4393 | PetscCheckTypeName(v,iscuda?VECSEQCUDA:VECSEQ); |
| 845 |
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3691 | PetscCall(VecGetSize(v,&m)); |
| 846 |
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3691 | PetscCheck(m==n,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_SIZ,"Matrix A and vector v must have the same size"); |
| 847 |
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3691 | PetscCall(PetscLogEventBegin(FN_Evaluate,fn,0,0,0)); |
| 848 |
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3691 | PetscCall(FNEvaluateFunctionMatVec_Private(fn,A,v,PETSC_TRUE)); |
| 849 |
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3691 | PetscCall(PetscLogEventEnd(FN_Evaluate,fn,0,0,0)); |
| 850 |
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|
702 | PetscFunctionReturn(PETSC_SUCCESS); |
| 851 | } | ||
| 852 | |||
| 853 | /*@ | ||
| 854 | FNSetFromOptions - Sets FN options from the options database. | ||
| 855 | |||
| 856 | Collective | ||
| 857 | |||
| 858 | Input Parameters: | ||
| 859 | . fn - the math function context | ||
| 860 | |||
| 861 | Notes: | ||
| 862 | To see all options, run your program with the -help option. | ||
| 863 | |||
| 864 | Level: beginner | ||
| 865 | |||
| 866 | .seealso: FNSetOptionsPrefix() | ||
| 867 | @*/ | ||
| 868 | 3626 | PetscErrorCode FNSetFromOptions(FN fn) | |
| 869 | { | ||
| 870 | 3626 | char type[256]; | |
| 871 | 3626 | PetscScalar array[2]; | |
| 872 | 3626 | PetscInt k,meth; | |
| 873 | 3626 | PetscBool flg; | |
| 874 | 3626 | FNParallelType pmode; | |
| 875 | |||
| 876 |
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3626 | PetscFunctionBegin; |
| 877 |
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3626 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 878 |
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3626 | PetscCall(FNRegisterAll()); |
| 879 |
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10878 | PetscObjectOptionsBegin((PetscObject)fn); |
| 880 |
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7208 | PetscCall(PetscOptionsFList("-fn_type","Math function type","FNSetType",FNList,(char*)(((PetscObject)fn)->type_name?((PetscObject)fn)->type_name:FNRATIONAL),type,sizeof(type),&flg)); |
| 881 |
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3626 | if (flg) PetscCall(FNSetType(fn,type)); |
| 882 |
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3576 | else if (!((PetscObject)fn)->type_name) PetscCall(FNSetType(fn,FNRATIONAL)); |
| 883 | |||
| 884 | 3626 | k = 2; | |
| 885 | 3626 | array[0] = 0.0; array[1] = 0.0; | |
| 886 |
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3626 | PetscCall(PetscOptionsScalarArray("-fn_scale","Scale factors (one or two scalar values separated with a comma without spaces)","FNSetScale",array,&k,&flg)); |
| 887 |
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3626 | if (flg) { |
| 888 |
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423 | if (k<2) array[1] = 1.0; |
| 889 |
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423 | PetscCall(FNSetScale(fn,array[0],array[1])); |
| 890 | } | ||
| 891 | |||
| 892 |
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3626 | PetscCall(PetscOptionsInt("-fn_method","Method to be used for computing matrix functions","FNSetMethod",fn->method,&meth,&flg)); |
| 893 |
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3626 | if (flg) PetscCall(FNSetMethod(fn,meth)); |
| 894 | |||
| 895 |
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3626 | PetscCall(PetscOptionsEnum("-fn_parallel","Operation mode in parallel runs","FNSetParallel",FNParallelTypes,(PetscEnum)fn->pmode,(PetscEnum*)&pmode,&flg)); |
| 896 |
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3626 | if (flg) PetscCall(FNSetParallel(fn,pmode)); |
| 897 | |||
| 898 |
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3626 | PetscTryTypeMethod(fn,setfromoptions,PetscOptionsObject); |
| 899 |
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3626 | PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)fn,PetscOptionsObject)); |
| 900 |
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3626 | PetscOptionsEnd(); |
| 901 |
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3626 | PetscFunctionReturn(PETSC_SUCCESS); |
| 902 | } | ||
| 903 | |||
| 904 | /*@ | ||
| 905 | FNView - Prints the FN data structure. | ||
| 906 | |||
| 907 | Collective | ||
| 908 | |||
| 909 | Input Parameters: | ||
| 910 | + fn - the math function context | ||
| 911 | - viewer - optional visualization context | ||
| 912 | |||
| 913 | Note: | ||
| 914 | The available visualization contexts include | ||
| 915 | + PETSC_VIEWER_STDOUT_SELF - standard output (default) | ||
| 916 | - PETSC_VIEWER_STDOUT_WORLD - synchronized standard | ||
| 917 | output where only the first processor opens | ||
| 918 | the file. All other processors send their | ||
| 919 | data to the first processor to print. | ||
| 920 | |||
| 921 | The user can open an alternative visualization context with | ||
| 922 | PetscViewerASCIIOpen() - output to a specified file. | ||
| 923 | |||
| 924 | Level: beginner | ||
| 925 | |||
| 926 | .seealso: FNCreate() | ||
| 927 | @*/ | ||
| 928 | 992 | PetscErrorCode FNView(FN fn,PetscViewer viewer) | |
| 929 | { | ||
| 930 | 992 | PetscBool isascii; | |
| 931 | 992 | PetscMPIInt size; | |
| 932 | |||
| 933 |
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992 | PetscFunctionBegin; |
| 934 |
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992 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 935 |
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992 | if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)fn),&viewer)); |
| 936 |
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992 | PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2); |
| 937 |
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992 | PetscCheckSameComm(fn,1,viewer,2); |
| 938 |
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992 | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); |
| 939 |
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992 | if (isascii) { |
| 940 |
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992 | PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)fn,viewer)); |
| 941 |
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992 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)fn),&size)); |
| 942 |
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992 | if (size>1) PetscCall(PetscViewerASCIIPrintf(viewer," parallel operation mode: %s\n",FNParallelTypes[fn->pmode])); |
| 943 |
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992 | PetscCall(PetscViewerASCIIPushTab(viewer)); |
| 944 |
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992 | PetscTryTypeMethod(fn,view,viewer); |
| 945 |
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992 | PetscCall(PetscViewerASCIIPopTab(viewer)); |
| 946 | } | ||
| 947 |
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171 | PetscFunctionReturn(PETSC_SUCCESS); |
| 948 | } | ||
| 949 | |||
| 950 | /*@ | ||
| 951 | FNViewFromOptions - View from options | ||
| 952 | |||
| 953 | Collective | ||
| 954 | |||
| 955 | Input Parameters: | ||
| 956 | + fn - the math function context | ||
| 957 | . obj - optional object | ||
| 958 | - name - command line option | ||
| 959 | |||
| 960 | Level: intermediate | ||
| 961 | |||
| 962 | .seealso: FNView(), FNCreate() | ||
| 963 | @*/ | ||
| 964 | 2984 | PetscErrorCode FNViewFromOptions(FN fn,PetscObject obj,const char name[]) | |
| 965 | { | ||
| 966 |
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2984 | PetscFunctionBegin; |
| 967 |
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2984 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 968 |
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2984 | PetscCall(PetscObjectViewFromOptions((PetscObject)fn,obj,name)); |
| 969 |
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579 | PetscFunctionReturn(PETSC_SUCCESS); |
| 970 | } | ||
| 971 | |||
| 972 | /*@ | ||
| 973 | FNDuplicate - Duplicates a math function, copying all parameters, possibly with a | ||
| 974 | different communicator. | ||
| 975 | |||
| 976 | Collective | ||
| 977 | |||
| 978 | Input Parameters: | ||
| 979 | + fn - the math function context | ||
| 980 | - comm - MPI communicator | ||
| 981 | |||
| 982 | Output Parameter: | ||
| 983 | . newfn - location to put the new FN context | ||
| 984 | |||
| 985 | Note: | ||
| 986 | In order to use the same MPI communicator as in the original object, | ||
| 987 | use PetscObjectComm((PetscObject)fn). | ||
| 988 | |||
| 989 | Level: developer | ||
| 990 | |||
| 991 | .seealso: FNCreate() | ||
| 992 | @*/ | ||
| 993 | 464 | PetscErrorCode FNDuplicate(FN fn,MPI_Comm comm,FN *newfn) | |
| 994 | { | ||
| 995 | 464 | FNType type; | |
| 996 | 464 | PetscScalar alpha,beta; | |
| 997 | 464 | PetscInt meth; | |
| 998 | 464 | FNParallelType ptype; | |
| 999 | |||
| 1000 |
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464 | PetscFunctionBegin; |
| 1001 |
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464 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 1002 |
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464 | PetscValidType(fn,1); |
| 1003 |
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464 | PetscAssertPointer(newfn,3); |
| 1004 |
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464 | PetscCall(FNCreate(comm,newfn)); |
| 1005 |
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464 | PetscCall(FNGetType(fn,&type)); |
| 1006 |
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464 | PetscCall(FNSetType(*newfn,type)); |
| 1007 |
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464 | PetscCall(FNGetScale(fn,&alpha,&beta)); |
| 1008 |
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464 | PetscCall(FNSetScale(*newfn,alpha,beta)); |
| 1009 |
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464 | PetscCall(FNGetMethod(fn,&meth)); |
| 1010 |
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464 | PetscCall(FNSetMethod(*newfn,meth)); |
| 1011 |
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464 | PetscCall(FNGetParallel(fn,&ptype)); |
| 1012 |
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464 | PetscCall(FNSetParallel(*newfn,ptype)); |
| 1013 |
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464 | PetscTryTypeMethod(fn,duplicate,comm,newfn); |
| 1014 |
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88 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1015 | } | ||
| 1016 | |||
| 1017 | /*@ | ||
| 1018 | FNDestroy - Destroys FN context that was created with FNCreate(). | ||
| 1019 | |||
| 1020 | Collective | ||
| 1021 | |||
| 1022 | Input Parameter: | ||
| 1023 | . fn - the math function context | ||
| 1024 | |||
| 1025 | Level: beginner | ||
| 1026 | |||
| 1027 | .seealso: FNCreate() | ||
| 1028 | @*/ | ||
| 1029 | 8908 | PetscErrorCode FNDestroy(FN *fn) | |
| 1030 | { | ||
| 1031 | 8908 | PetscInt i; | |
| 1032 | |||
| 1033 |
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8908 | PetscFunctionBegin; |
| 1034 |
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8908 | if (!*fn) PetscFunctionReturn(PETSC_SUCCESS); |
| 1035 |
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8511 | PetscValidHeaderSpecific(*fn,FN_CLASSID,1); |
| 1036 |
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8511 | if (--((PetscObject)*fn)->refct > 0) { *fn = NULL; PetscFunctionReturn(PETSC_SUCCESS); } |
| 1037 |
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4317 | PetscTryTypeMethod(*fn,destroy); |
| 1038 |
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5760 | for (i=0;i<(*fn)->nw;i++) PetscCall(MatDestroy(&(*fn)->W[i])); |
| 1039 |
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4317 | PetscCall(PetscHeaderDestroy(fn)); |
| 1040 |
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813 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1041 | } | ||
| 1042 | |||
| 1043 | /*@C | ||
| 1044 | FNRegister - Adds a mathematical function to the FN package. | ||
| 1045 | |||
| 1046 | Not Collective | ||
| 1047 | |||
| 1048 | Input Parameters: | ||
| 1049 | + name - name of a new user-defined FN | ||
| 1050 | - function - routine to create context | ||
| 1051 | |||
| 1052 | Notes: | ||
| 1053 | FNRegister() may be called multiple times to add several user-defined functions. | ||
| 1054 | |||
| 1055 | Level: advanced | ||
| 1056 | |||
| 1057 | .seealso: FNRegisterAll() | ||
| 1058 | @*/ | ||
| 1059 | 12628 | PetscErrorCode FNRegister(const char *name,PetscErrorCode (*function)(FN)) | |
| 1060 | { | ||
| 1061 |
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12628 | PetscFunctionBegin; |
| 1062 |
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12628 | PetscCall(FNInitializePackage()); |
| 1063 |
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12628 | PetscCall(PetscFunctionListAdd(&FNList,name,function)); |
| 1064 |
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2303 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1065 | } | ||
| 1066 |