1d6cc7855SJacob Faibussowitsch #include <petsc/private/randomimpl.h> 225ccb61fSToby Isaac #include <Random123/threefry.h> 325ccb61fSToby Isaac 425ccb61fSToby Isaac /* The structure of the Random123 methods are similar enough that templates could be used to make the other CBRNGs in 525ccb61fSToby Isaac * the package (aes, ars, philox) available, as well as different block sizes. But threefry4x64 is a good default, 625ccb61fSToby Isaac * and I'd rather get a simple implementation up and working and come back if there's interest. */ 79371c9d4SSatish Balay typedef struct _n_PetscRandom123 { 825ccb61fSToby Isaac threefry4x64_ctr_t counter; 925ccb61fSToby Isaac threefry4x64_key_t key; 1025ccb61fSToby Isaac threefry4x64_ctr_t result; 1125ccb61fSToby Isaac PetscInt count; 129371c9d4SSatish Balay } PetscRandom123; 1325ccb61fSToby Isaac 1425ccb61fSToby Isaac R123_ULONG_LONG PETSCR123_SEED_0 = R123_64BIT(0x615D333D2655FE14); 1525ccb61fSToby Isaac R123_ULONG_LONG PETSCR123_SEED_1 = R123_64BIT(0xAFF6369B3EE9FE96); 1625ccb61fSToby Isaac R123_ULONG_LONG PETSCR123_SEED_2 = R123_64BIT(0x5956EBC717B60E07); 1725ccb61fSToby Isaac R123_ULONG_LONG PETSCR123_SEED_3 = R123_64BIT(0xEE8612A0CBEABFF1); 1825ccb61fSToby Isaac 19d71ae5a4SJacob Faibussowitsch PetscErrorCode PetscRandomSeed_Random123(PetscRandom r) 20d71ae5a4SJacob Faibussowitsch { 2125ccb61fSToby Isaac threefry4x64_ukey_t ukey; 2225ccb61fSToby Isaac PetscRandom123 *r123 = (PetscRandom123 *)r->data; 2325ccb61fSToby Isaac 2425ccb61fSToby Isaac PetscFunctionBegin; 2525ccb61fSToby Isaac ukey.v[0] = (R123_ULONG_LONG)r->seed; 2625ccb61fSToby Isaac ukey.v[1] = PETSCR123_SEED_1; 2725ccb61fSToby Isaac ukey.v[2] = PETSCR123_SEED_2; 2825ccb61fSToby Isaac ukey.v[3] = PETSCR123_SEED_3; 2925ccb61fSToby Isaac /* The point of seeding should be that every time the sequence is seeded you get the same output. In this CBRNG, 3025ccb61fSToby Isaac * that means we have to initialize the key and reset the counts */ 3125ccb61fSToby Isaac r123->key = threefry4x64keyinit(ukey); 3225ccb61fSToby Isaac r123->counter.v[0] = 0; 3325ccb61fSToby Isaac r123->counter.v[1] = 1; 3425ccb61fSToby Isaac r123->counter.v[2] = 2; 3525ccb61fSToby Isaac r123->counter.v[3] = 3; 3625ccb61fSToby Isaac r123->result = threefry4x64(r123->counter, r123->key); 3725ccb61fSToby Isaac r123->count = 0; 38*3ba16761SJacob Faibussowitsch PetscFunctionReturn(PETSC_SUCCESS); 3925ccb61fSToby Isaac } 4025ccb61fSToby Isaac 41d71ae5a4SJacob Faibussowitsch static PetscReal PetscRandom123Step(PetscRandom123 *r123) 42d71ae5a4SJacob Faibussowitsch { 4325ccb61fSToby Isaac PetscReal scale = ((PetscReal)1.) / (UINT64_MAX + ((PetscReal)1.)); 4425ccb61fSToby Isaac PetscReal shift = .5 * scale; 4525ccb61fSToby Isaac PetscInt mod = (r123->count++) % 4; 4625ccb61fSToby Isaac PetscReal ret; 4725ccb61fSToby Isaac 4825ccb61fSToby Isaac ret = r123->result.v[mod] * scale + shift; 4925ccb61fSToby Isaac 5025ccb61fSToby Isaac if (mod == 3) { 5125ccb61fSToby Isaac r123->counter.v[0] += 4; 5225ccb61fSToby Isaac r123->counter.v[1] += 4; 5325ccb61fSToby Isaac r123->counter.v[2] += 4; 5425ccb61fSToby Isaac r123->counter.v[3] += 4; 5525ccb61fSToby Isaac r123->result = threefry4x64(r123->counter, r123->key); 5625ccb61fSToby Isaac } 5725ccb61fSToby Isaac 5825ccb61fSToby Isaac return ret; 5925ccb61fSToby Isaac } 6025ccb61fSToby Isaac 61d71ae5a4SJacob Faibussowitsch PetscErrorCode PetscRandomGetValue_Random123(PetscRandom r, PetscScalar *val) 62d71ae5a4SJacob Faibussowitsch { 6325ccb61fSToby Isaac PetscRandom123 *r123 = (PetscRandom123 *)r->data; 6425ccb61fSToby Isaac PetscScalar rscal; 6525ccb61fSToby Isaac 6625ccb61fSToby Isaac PetscFunctionBegin; 6725ccb61fSToby Isaac #if defined(PETSC_USE_COMPLEX) 6825ccb61fSToby Isaac { 6925ccb61fSToby Isaac PetscReal re = PetscRandom123Step(r123); 7025ccb61fSToby Isaac PetscReal im = PetscRandom123Step(r123); 7125ccb61fSToby Isaac 7225ccb61fSToby Isaac if (r->iset) { 7325ccb61fSToby Isaac re = re * PetscRealPart(r->width) + PetscRealPart(r->low); 7425ccb61fSToby Isaac im = im * PetscImaginaryPart(r->width) + PetscImaginaryPart(r->low); 7525ccb61fSToby Isaac } 7625ccb61fSToby Isaac 7725ccb61fSToby Isaac rscal = PetscCMPLX(re, im); 7825ccb61fSToby Isaac } 7925ccb61fSToby Isaac #else 8025ccb61fSToby Isaac rscal = PetscRandom123Step(r123); 8125ccb61fSToby Isaac if (r->iset) rscal = rscal * r->width + r->low; 8225ccb61fSToby Isaac #endif 8325ccb61fSToby Isaac *val = rscal; 84*3ba16761SJacob Faibussowitsch PetscFunctionReturn(PETSC_SUCCESS); 8525ccb61fSToby Isaac } 8625ccb61fSToby Isaac 87d71ae5a4SJacob Faibussowitsch PetscErrorCode PetscRandomGetValueReal_Random123(PetscRandom r, PetscReal *val) 88d71ae5a4SJacob Faibussowitsch { 8925ccb61fSToby Isaac PetscRandom123 *r123 = (PetscRandom123 *)r->data; 904d1a973fSToby Isaac PetscReal rreal; 9125ccb61fSToby Isaac 9225ccb61fSToby Isaac PetscFunctionBegin; 9325ccb61fSToby Isaac rreal = PetscRandom123Step(r123); 9425ccb61fSToby Isaac if (r->iset) rreal = rreal * PetscRealPart(r->width) + PetscRealPart(r->low); 9525ccb61fSToby Isaac *val = rreal; 96*3ba16761SJacob Faibussowitsch PetscFunctionReturn(PETSC_SUCCESS); 9725ccb61fSToby Isaac } 9825ccb61fSToby Isaac 99d71ae5a4SJacob Faibussowitsch PetscErrorCode PetscRandomDestroy_Random123(PetscRandom r) 100d71ae5a4SJacob Faibussowitsch { 10125ccb61fSToby Isaac PetscFunctionBegin; 1029566063dSJacob Faibussowitsch PetscCall(PetscFree(r->data)); 103*3ba16761SJacob Faibussowitsch PetscFunctionReturn(PETSC_SUCCESS); 10425ccb61fSToby Isaac } 10525ccb61fSToby Isaac 10625ccb61fSToby Isaac static struct _PetscRandomOps PetscRandomOps_Values = { 107267267bdSJacob Faibussowitsch PetscDesignatedInitializer(seed, PetscRandomSeed_Random123), 108267267bdSJacob Faibussowitsch PetscDesignatedInitializer(getvalue, PetscRandomGetValue_Random123), 109267267bdSJacob Faibussowitsch PetscDesignatedInitializer(getvaluereal, PetscRandomGetValueReal_Random123), 110267267bdSJacob Faibussowitsch PetscDesignatedInitializer(getvalues, NULL), 111267267bdSJacob Faibussowitsch PetscDesignatedInitializer(getvaluesreal, NULL), 112267267bdSJacob Faibussowitsch PetscDesignatedInitializer(destroy, PetscRandomDestroy_Random123), 11325ccb61fSToby Isaac }; 11425ccb61fSToby Isaac 11525ccb61fSToby Isaac /*MC 11625ccb61fSToby Isaac PETSCRANDOM123 - access to Random123 counter based pseudorandom number generators (currently threefry4x64) 11725ccb61fSToby Isaac 11825ccb61fSToby Isaac Options Database Keys: 1191179163eSBarry Smith . -random_type <rand,rand48,sprng,random123> - select the random number generator at runtim 1201179163eSBarry Smith 1211179163eSBarry Smith Note: 1221179163eSBarry Smith PETSc must be ./configure with the option --download-random123 to use this random number generator. 12325ccb61fSToby Isaac 12425ccb61fSToby Isaac Level: beginner 12525ccb61fSToby Isaac 1261179163eSBarry Smith .seealso: `RandomCreate()`, `RandomSetType()`, `PETSCRAND`, `PETSCRAND48`, `PETSCSPRNG`, `PetscRandomSetFromOptions()` 12725ccb61fSToby Isaac M*/ 12825ccb61fSToby Isaac 129d71ae5a4SJacob Faibussowitsch PETSC_EXTERN PetscErrorCode PetscRandomCreate_Random123(PetscRandom r) 130d71ae5a4SJacob Faibussowitsch { 13125ccb61fSToby Isaac PetscRandom123 *r123; 13225ccb61fSToby Isaac 13325ccb61fSToby Isaac PetscFunctionBegin; 1344dfa11a4SJacob Faibussowitsch PetscCall(PetscNew(&r123)); 13525ccb61fSToby Isaac r->data = r123; 1369566063dSJacob Faibussowitsch PetscCall(PetscMemcpy(r->ops, &PetscRandomOps_Values, sizeof(PetscRandomOps_Values))); 1379566063dSJacob Faibussowitsch PetscCall(PetscObjectChangeTypeName((PetscObject)r, PETSCRANDOM123)); 1389566063dSJacob Faibussowitsch PetscCall(PetscRandomSeed(r)); 139*3ba16761SJacob Faibussowitsch PetscFunctionReturn(PETSC_SUCCESS); 14025ccb61fSToby Isaac } 141