diff options
Diffstat (limited to 'src/math/numbertheory/numthry.cpp')
-rw-r--r-- | src/math/numbertheory/numthry.cpp | 39 |
1 files changed, 22 insertions, 17 deletions
diff --git a/src/math/numbertheory/numthry.cpp b/src/math/numbertheory/numthry.cpp index d634ca88c..721d4a833 100644 --- a/src/math/numbertheory/numthry.cpp +++ b/src/math/numbertheory/numthry.cpp @@ -1,6 +1,6 @@ /* -* Number Theory -* (C) 1999-2008 Jack Lloyd +* Number Theory Functions +* (C) 1999-2009 Jack Lloyd * * Distributed under the terms of the Botan license */ @@ -56,14 +56,14 @@ u32bit miller_rabin_test_iterations(u32bit bits, bool verify) { 0, 0, 0 } }; - for(u32bit j = 0; tests[j].bits; ++j) + for(u32bit i = 0; tests[i].bits; ++i) { - if(bits <= tests[j].bits) + if(bits <= tests[i].bits) { if(verify) - return tests[j].verify_iter; + return tests[i].verify_iter; else - return tests[j].check_iter; + return tests[i].check_iter; } } return 2; @@ -154,7 +154,7 @@ BigInt inverse_mod(const BigInt& n, const BigInt& mod) { u32bit zero_bits = low_zero_bits(u); u >>= zero_bits; - for(u32bit j = 0; j != zero_bits; ++j) + for(u32bit i = 0; i != zero_bits; ++i) { if(A.is_odd() || B.is_odd()) { A += y; B -= x; } @@ -163,7 +163,7 @@ BigInt inverse_mod(const BigInt& n, const BigInt& mod) zero_bits = low_zero_bits(v); v >>= zero_bits; - for(u32bit j = 0; j != zero_bits; ++j) + for(u32bit i = 0; i != zero_bits; ++i) { if(C.is_odd() || D.is_odd()) { C += y; D -= x; } @@ -209,17 +209,17 @@ s32bit simple_primality_tests(const BigInt& n) if(n <= PRIMES[PRIME_TABLE_SIZE-1]) { const word num = n.word_at(0); - for(u32bit j = 0; PRIMES[j]; ++j) + for(u32bit i = 0; PRIMES[i]; ++i) { - if(num == PRIMES[j]) return PRIME; - if(num < PRIMES[j]) return NOT_PRIME; + if(num == PRIMES[i]) return PRIME; + if(num < PRIMES[i]) return NOT_PRIME; } return NOT_PRIME; } u32bit check_first = std::min(n.bits() / 32, PRIME_PRODUCTS_TABLE_SIZE); - for(u32bit j = 0; j != check_first; ++j) - if(gcd(n, PRIME_PRODUCTS[j]) != 1) + for(u32bit i = 0; i != check_first; ++i) + if(gcd(n, PRIME_PRODUCTS[i]) != 1) return NOT_PRIME; return UNKNOWN; @@ -286,10 +286,15 @@ bool passes_mr_tests(RandomNumberGenerator& rng, u32bit tests = miller_rabin_test_iterations(n.bits(), verify); BigInt nonce; - for(u32bit j = 0; j != tests; ++j) + for(u32bit i = 0; i != tests; ++i) { - if(verify) nonce.randomize(rng, NONCE_BITS); - else nonce = PRIMES[j]; + if(!verify && PRIMES[i] < (n-1)) + nonce = PRIMES[i]; + else + { + while(nonce < 2 && nonce >= (n-1)) + nonce.randomize(rng, NONCE_BITS); + } if(!mr.passes_test(nonce)) return false; @@ -309,7 +314,7 @@ bool MillerRabin_Test::passes_test(const BigInt& a) if(y == 1 || y == n_minus_1) return true; - for(u32bit j = 1; j != s; ++j) + for(u32bit i = 1; i != s; ++i) { y = reducer.square(y); |