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Diffstat (limited to 'src/lib/math/numbertheory/make_prm.cpp')
-rw-r--r-- | src/lib/math/numbertheory/make_prm.cpp | 100 |
1 files changed, 100 insertions, 0 deletions
diff --git a/src/lib/math/numbertheory/make_prm.cpp b/src/lib/math/numbertheory/make_prm.cpp new file mode 100644 index 000000000..dc94420ab --- /dev/null +++ b/src/lib/math/numbertheory/make_prm.cpp @@ -0,0 +1,100 @@ +/* +* Prime Generation +* (C) 1999-2007 Jack Lloyd +* +* Distributed under the terms of the Botan license +*/ + +#include <botan/numthry.h> +#include <botan/parsing.h> +#include <algorithm> + +namespace Botan { + +/* +* Generate a random prime +*/ +BigInt random_prime(RandomNumberGenerator& rng, + size_t bits, const BigInt& coprime, + size_t equiv, size_t modulo) + { + if(bits <= 1) + throw Invalid_Argument("random_prime: Can't make a prime of " + + std::to_string(bits) + " bits"); + else if(bits == 2) + return ((rng.next_byte() % 2) ? 2 : 3); + else if(bits == 3) + return ((rng.next_byte() % 2) ? 5 : 7); + else if(bits == 4) + return ((rng.next_byte() % 2) ? 11 : 13); + + if(coprime <= 0) + throw Invalid_Argument("random_prime: coprime must be > 0"); + if(modulo % 2 == 1 || modulo == 0) + throw Invalid_Argument("random_prime: Invalid modulo value"); + if(equiv >= modulo || equiv % 2 == 0) + throw Invalid_Argument("random_prime: equiv must be < modulo, and odd"); + + while(true) + { + BigInt p(rng, bits); + + // Force lowest and two top bits on + p.set_bit(bits - 1); + p.set_bit(bits - 2); + p.set_bit(0); + + if(p % modulo != equiv) + p += (modulo - p % modulo) + equiv; + + const size_t sieve_size = std::min(bits / 2, PRIME_TABLE_SIZE); + secure_vector<u16bit> sieve(sieve_size); + + for(size_t j = 0; j != sieve.size(); ++j) + sieve[j] = p % PRIMES[j]; + + size_t counter = 0; + while(true) + { + if(counter == 4096 || p.bits() > bits) + break; + + bool passes_sieve = true; + ++counter; + p += modulo; + + if(p.bits() > bits) + break; + + for(size_t j = 0; j != sieve.size(); ++j) + { + sieve[j] = (sieve[j] + modulo) % PRIMES[j]; + if(sieve[j] == 0) + passes_sieve = false; + } + + if(!passes_sieve || gcd(p - 1, coprime) != 1) + continue; + if(check_prime(p, rng)) + return p; + } + } + } + +/* +* Generate a random safe prime +*/ +BigInt random_safe_prime(RandomNumberGenerator& rng, size_t bits) + { + if(bits <= 64) + throw Invalid_Argument("random_safe_prime: Can't make a prime of " + + std::to_string(bits) + " bits"); + + BigInt p; + do + p = (random_prime(rng, bits - 1) << 1) + 1; + while(!check_prime(p, rng)); + return p; + } + +} |