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-rw-r--r--botan/src/math/numbertheory/make_prm.cpp97
1 files changed, 97 insertions, 0 deletions
diff --git a/botan/src/math/numbertheory/make_prm.cpp b/botan/src/math/numbertheory/make_prm.cpp
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+/*
+* 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,
+ u32bit bits, const BigInt& coprime,
+ u32bit equiv, u32bit modulo)
+ {
+ if(bits <= 1)
+ throw Invalid_Argument("random_prime: Can't make a prime of " +
+ 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);
+ p.set_bit(bits - 2);
+ p.set_bit(0);
+
+ if(p % modulo != equiv)
+ p += (modulo - p % modulo) + equiv;
+
+ const u32bit sieve_size = std::min(bits / 2, PRIME_TABLE_SIZE);
+ SecureVector<u32bit> sieve(sieve_size);
+
+ for(u32bit j = 0; j != sieve.size(); ++j)
+ sieve[j] = p % PRIMES[j];
+
+ u32bit counter = 0;
+ while(true)
+ {
+ if(counter == 4096 || p.bits() > bits)
+ break;
+
+ bool passes_sieve = true;
+ ++counter;
+ p += modulo;
+
+ if(p.bits() > bits)
+ break;
+
+ for(u32bit 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(passes_mr_tests(rng, p))
+ return p;
+ }
+ }
+ }
+
+/*
+* Generate a random safe prime
+*/
+BigInt random_safe_prime(RandomNumberGenerator& rng, u32bit bits)
+ {
+ if(bits <= 64)
+ throw Invalid_Argument("random_safe_prime: Can't make a prime of " +
+ to_string(bits) + " bits");
+
+ BigInt p;
+ do
+ p = (random_prime(rng, bits - 1) << 1) + 1;
+ while(!is_prime(p, rng));
+ return p;
+ }
+
+}