/* * (C) 2015,2016 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include "fuzzers.h" #include namespace { Botan::BigInt inverse_mod_ref(const Botan::BigInt& n, const Botan::BigInt& mod) { if(n == 0) return 0; Botan::BigInt u = mod, v = n; Botan::BigInt B = 0, D = 1; while(u.is_nonzero()) { const size_t u_zero_bits = low_zero_bits(u); u >>= u_zero_bits; for(size_t i = 0; i != u_zero_bits; ++i) { //B.cond_sub(B.is_odd(), mod); if(B.is_odd()) { B -= mod; } B >>= 1; } const size_t v_zero_bits = low_zero_bits(v); v >>= v_zero_bits; for(size_t i = 0; i != v_zero_bits; ++i) { if(D.is_odd()) { D -= mod; } D >>= 1; } if(u >= v) { u -= v; B -= D; } else { v -= u; D -= B; } } if(v != 1) return 0; // no modular inverse while(D.is_negative()) D += mod; while(D >= mod) D -= mod; return D; } } void fuzz(const uint8_t in[], size_t len) { if(len % 2 == 1 || len > 2*4096/8) return; const Botan::BigInt x = Botan::BigInt::decode(in, len / 2); Botan::BigInt mod = Botan::BigInt::decode(in + len / 2, len / 2); mod.set_bit(0); if(mod < 3 || x >= mod) return; Botan::BigInt ref = inverse_mod_ref(x, mod); Botan::BigInt ct = Botan::ct_inverse_mod_odd_modulus(x, mod); //Botan::BigInt mon = Botan::normalized_montgomery_inverse(x, mod); if(ref != ct) { FUZZER_WRITE_AND_CRASH("X = " << x << "\n" << "P = " << mod << "\n" << "GCD = " << gcd(x, mod) << "\n" << "Ref = " << ref << "\n" << "CT = " << ct << "\n" << "RefCheck = " << (ref*ref)%mod << "\n" << "CTCheck = " << (ct*ct)%mod << "\n"); } }