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The iterator for getting the // next prime (RsaNextPrime()) will return primes until it hits the // limit (primeLimit) set up by this function. This causes the sieve // process to stop when an appropriate number of primes have been // sieved. LIB_EXPORT void RsaAdjustPrimeLimit(uint32_t requestedPrimes); //*** RsaNextPrime() // This the iterator used during the sieve process. The input is the // last prime returned (or any starting point) and the output is the // next higher prime. The function returns 0 when the primeLimit is // reached. LIB_EXPORT uint32_t RsaNextPrime(uint32_t lastPrime); //*** FindNthSetBit() // This function finds the nth SET bit in a bit array. The 'n' parameter is // between 1 and the number of bits in the array (always a multiple of 8). // If called when the array does not have n bits set, it will return -1 // Return Type: unsigned int // <0 no bit is set or no bit with the requested number is set // >=0 the number of the bit in the array that is the nth set LIB_EXPORT int FindNthSetBit( const UINT16 aSize, // IN: the size of the array to check const BYTE* a, // IN: the array to check const UINT32 n // IN, the number of the SET bit ); //*** PrimeSieve() // This function does a prime sieve over the input 'field' which has as its // starting address the value in bnN. Since this initializes the Sieve // using a precomputed field with the bits associated with 3, 5 and 7 already // turned off, the value of pnN may need to be adjusted by a few counts to allow // the precomputed field to be used without modification. // // To get better performance, one could address the issue of developing the // composite numbers. When the size of the prime gets large, the time for doing // the divisions goes up, noticeably. It could be better to develop larger composite // numbers even if they need to be Crypt_Int*'s themselves. The object would be to // reduce the number of times that the large prime is divided into a few large // divides and then use smaller divides to get to the final 16 bit (or smaller) // remainders. LIB_EXPORT UINT32 PrimeSieve(Crypt_Int* bnN, // IN/OUT: number to sieve UINT32 fieldSize, // IN: size of the field area in bytes BYTE* field // IN: field ); # ifdef SIEVE_DEBUG //***SetFieldSize() // Function to set the field size used for prime generation. Used for tuning. LIB_EXPORT uint32_t SetFieldSize(uint32_t newFieldSize); # endif // SIEVE_DEBUG //*** PrimeSelectWithSieve() // This function will sieve the field around the input prime candidate. If the // sieve field is not empty, one of the one bits in the field is chosen for testing // with Miller-Rabin. If the value is prime, 'pnP' is updated with this value // and the function returns success. If this value is not prime, another // pseudo-random candidate is chosen and tested. This process repeats until // all values in the field have been checked. If all bits in the field have // been checked and none is prime, the function returns FALSE and a new random // value needs to be chosen. // Return Type: TPM_RC // TPM_RC_FAILURE TPM in failure mode, probably due to entropy source // TPM_RC_SUCCESS candidate is probably prime // TPM_RC_NO_RESULT candidate is not prime and couldn't find and alternative // in the field LIB_EXPORT TPM_RC PrimeSelectWithSieve( Crypt_Int* candidate, // IN/OUT: The candidate to filter UINT32 e, // IN: the exponent RAND_STATE* rand // IN: the random number generator state ); # if RSA_INSTRUMENT //*** PrintTuple() char* PrintTuple(UINT32* i); //*** RsaSimulationEnd() void RsaSimulationEnd(void); //*** GetSieveStats() LIB_EXPORT void GetSieveStats( uint32_t* trials, uint32_t* emptyFields, uint32_t* averageBits); # endif #endif // RSA_KEY_SIEVE #if !RSA_INSTRUMENT //*** RsaSimulationEnd() // Stub for call when not doing instrumentation. void RsaSimulationEnd(void); #endif #endif // _CRYPT_PRIME_SIEVE_FP_H_