/************************************************* * GMP Engine Source File * * (C) 1999-2007 The Botan Project * *************************************************/ #include #include #include namespace Botan { namespace { /************************************************* * GMP IF Operation * *************************************************/ class GMP_IF_Op : public IF_Operation { public: BigInt public_op(const BigInt&) const; BigInt private_op(const BigInt&) const; IF_Operation* clone() const { return new GMP_IF_Op(*this); } GMP_IF_Op(const BigInt& e_bn, const BigInt& n_bn, const BigInt&, const BigInt& p_bn, const BigInt& q_bn, const BigInt& d1_bn, const BigInt& d2_bn, const BigInt& c_bn) : e(e_bn), n(n_bn), p(p_bn), q(q_bn), d1(d1_bn), d2(d2_bn), c(c_bn) {} private: const GMP_MPZ e, n, p, q, d1, d2, c; }; /************************************************* * GMP IF Public Operation * *************************************************/ BigInt GMP_IF_Op::public_op(const BigInt& i_bn) const { GMP_MPZ i(i_bn); mpz_powm(i.value, i.value, e.value, n.value); return i.to_bigint(); } /************************************************* * GMP IF Private Operation * *************************************************/ BigInt GMP_IF_Op::private_op(const BigInt& i_bn) const { if(mpz_cmp_ui(p.value, 0) == 0) throw Internal_Error("GMP_IF_Op::private_op: No private key"); GMP_MPZ j1, j2, h(i_bn); mpz_powm(j1.value, h.value, d1.value, p.value); mpz_powm(j2.value, h.value, d2.value, q.value); mpz_sub(h.value, j1.value, j2.value); mpz_mul(h.value, h.value, c.value); mpz_mod(h.value, h.value, p.value); mpz_mul(h.value, h.value, q.value); mpz_add(h.value, h.value, j2.value); return h.to_bigint(); } /************************************************* * GMP DSA Operation * *************************************************/ class GMP_DSA_Op : public DSA_Operation { public: bool verify(const byte[], u32bit, const byte[], u32bit) const; SecureVector sign(const byte[], u32bit, const BigInt&) const; DSA_Operation* clone() const { return new GMP_DSA_Op(*this); } GMP_DSA_Op(const DL_Group& group, const BigInt& y1, const BigInt& x1) : x(x1), y(y1), p(group.get_p()), q(group.get_q()), g(group.get_g()) {} private: const GMP_MPZ x, y, p, q, g; }; /************************************************* * GMP DSA Verify Operation * *************************************************/ bool GMP_DSA_Op::verify(const byte msg[], u32bit msg_len, const byte sig[], u32bit sig_len) const { const u32bit q_bytes = q.bytes(); if(sig_len != 2*q_bytes || msg_len > q_bytes) return false; GMP_MPZ r(sig, q_bytes); GMP_MPZ s(sig + q_bytes, q_bytes); GMP_MPZ i(msg, msg_len); if(mpz_cmp_ui(r.value, 0) <= 0 || mpz_cmp(r.value, q.value) >= 0) return false; if(mpz_cmp_ui(s.value, 0) <= 0 || mpz_cmp(s.value, q.value) >= 0) return false; if(mpz_invert(s.value, s.value, q.value) == 0) return false; GMP_MPZ si; mpz_mul(si.value, s.value, i.value); mpz_mod(si.value, si.value, q.value); mpz_powm(si.value, g.value, si.value, p.value); GMP_MPZ sr; mpz_mul(sr.value, s.value, r.value); mpz_mod(sr.value, sr.value, q.value); mpz_powm(sr.value, y.value, sr.value, p.value); mpz_mul(si.value, si.value, sr.value); mpz_mod(si.value, si.value, p.value); mpz_mod(si.value, si.value, q.value); if(mpz_cmp(si.value, r.value) == 0) return true; return false; } /************************************************* * GMP DSA Sign Operation * *************************************************/ SecureVector GMP_DSA_Op::sign(const byte in[], u32bit length, const BigInt& k_bn) const { if(mpz_cmp_ui(x.value, 0) == 0) throw Internal_Error("GMP_DSA_Op::sign: No private key"); GMP_MPZ i(in, length); GMP_MPZ k(k_bn); GMP_MPZ r; mpz_powm(r.value, g.value, k.value, p.value); mpz_mod(r.value, r.value, q.value); mpz_invert(k.value, k.value, q.value); GMP_MPZ s; mpz_mul(s.value, x.value, r.value); mpz_add(s.value, s.value, i.value); mpz_mul(s.value, s.value, k.value); mpz_mod(s.value, s.value, q.value); if(mpz_cmp_ui(r.value, 0) == 0 || mpz_cmp_ui(s.value, 0) == 0) throw Internal_Error("GMP_DSA_Op::sign: r or s was zero"); const u32bit q_bytes = q.bytes(); SecureVector output(2*q_bytes); r.encode(output, q_bytes); s.encode(output + q_bytes, q_bytes); return output; } /************************************************* * GMP NR Operation * *************************************************/ class GMP_NR_Op : public NR_Operation { public: SecureVector verify(const byte[], u32bit) const; SecureVector sign(const byte[], u32bit, const BigInt&) const; NR_Operation* clone() const { return new GMP_NR_Op(*this); } GMP_NR_Op(const DL_Group& group, const BigInt& y1, const BigInt& x1) : x(x1), y(y1), p(group.get_p()), q(group.get_q()), g(group.get_g()) {} private: const GMP_MPZ x, y, p, q, g; }; /************************************************* * GMP NR Verify Operation * *************************************************/ SecureVector GMP_NR_Op::verify(const byte sig[], u32bit sig_len) const { const u32bit q_bytes = q.bytes(); if(sig_len != 2*q_bytes) return false; GMP_MPZ c(sig, q_bytes); GMP_MPZ d(sig + q_bytes, q_bytes); if(mpz_cmp_ui(c.value, 0) <= 0 || mpz_cmp(c.value, q.value) >= 0 || mpz_cmp(d.value, q.value) >= 0) throw Invalid_Argument("GMP_NR_Op::verify: Invalid signature"); GMP_MPZ i1, i2; mpz_powm(i1.value, g.value, d.value, p.value); mpz_powm(i2.value, y.value, c.value, p.value); mpz_mul(i1.value, i1.value, i2.value); mpz_mod(i1.value, i1.value, p.value); mpz_sub(i1.value, c.value, i1.value); mpz_mod(i1.value, i1.value, q.value); return BigInt::encode(i1.to_bigint()); } /************************************************* * GMP NR Sign Operation * *************************************************/ SecureVector GMP_NR_Op::sign(const byte in[], u32bit length, const BigInt& k_bn) const { if(mpz_cmp_ui(x.value, 0) == 0) throw Internal_Error("GMP_NR_Op::sign: No private key"); GMP_MPZ f(in, length); GMP_MPZ k(k_bn); if(mpz_cmp(f.value, q.value) >= 0) throw Invalid_Argument("GMP_NR_Op::sign: Input is out of range"); GMP_MPZ c, d; mpz_powm(c.value, g.value, k.value, p.value); mpz_add(c.value, c.value, f.value); mpz_mod(c.value, c.value, q.value); mpz_mul(d.value, x.value, c.value); mpz_sub(d.value, k.value, d.value); mpz_mod(d.value, d.value, q.value); if(mpz_cmp_ui(c.value, 0) == 0) throw Internal_Error("Default_NR_Op::sign: c was zero"); const u32bit q_bytes = q.bytes(); SecureVector output(2*q_bytes); c.encode(output, q_bytes); d.encode(output + q_bytes, q_bytes); return output; } /************************************************* * GMP ElGamal Operation * *************************************************/ class GMP_ELG_Op : public ELG_Operation { public: SecureVector encrypt(const byte[], u32bit, const BigInt&) const; BigInt decrypt(const BigInt&, const BigInt&) const; ELG_Operation* clone() const { return new GMP_ELG_Op(*this); } GMP_ELG_Op(const DL_Group& group, const BigInt& y1, const BigInt& x1) : x(x1), y(y1), g(group.get_g()), p(group.get_p()) {} private: GMP_MPZ x, y, g, p; }; /************************************************* * GMP ElGamal Encrypt Operation * *************************************************/ SecureVector GMP_ELG_Op::encrypt(const byte in[], u32bit length, const BigInt& k_bn) const { GMP_MPZ i(in, length); if(mpz_cmp(i.value, p.value) >= 0) throw Invalid_Argument("GMP_ELG_Op: Input is too large"); GMP_MPZ a, b, k(k_bn); mpz_powm(a.value, g.value, k.value, p.value); mpz_powm(b.value, y.value, k.value, p.value); mpz_mul(b.value, b.value, i.value); mpz_mod(b.value, b.value, p.value); const u32bit p_bytes = p.bytes(); SecureVector output(2*p_bytes); a.encode(output, p_bytes); b.encode(output + p_bytes, p_bytes); return output; } /************************************************* * GMP ElGamal Decrypt Operation * *************************************************/ BigInt GMP_ELG_Op::decrypt(const BigInt& a_bn, const BigInt& b_bn) const { if(mpz_cmp_ui(x.value, 0) == 0) throw Internal_Error("GMP_ELG_Op::decrypt: No private key"); GMP_MPZ a(a_bn), b(b_bn); if(mpz_cmp(a.value, p.value) >= 0 || mpz_cmp(b.value, p.value) >= 0) throw Invalid_Argument("GMP_ELG_Op: Invalid message"); mpz_powm(a.value, a.value, x.value, p.value); mpz_invert(a.value, a.value, p.value); mpz_mul(a.value, a.value, b.value); mpz_mod(a.value, a.value, p.value); return a.to_bigint(); } /************************************************* * GMP DH Operation * *************************************************/ class GMP_DH_Op : public DH_Operation { public: BigInt agree(const BigInt& i) const; DH_Operation* clone() const { return new GMP_DH_Op(*this); } GMP_DH_Op(const DL_Group& group, const BigInt& x_bn) : x(x_bn), p(group.get_p()) {} private: GMP_MPZ x, p; }; /************************************************* * GMP DH Key Agreement Operation * *************************************************/ BigInt GMP_DH_Op::agree(const BigInt& i_bn) const { GMP_MPZ i(i_bn); mpz_powm(i.value, i.value, x.value, p.value); return i.to_bigint(); } } /************************************************* * GMP_Engine Constructor * *************************************************/ GMP_Engine::GMP_Engine() { set_memory_hooks(); } /************************************************* * Acquire an IF op * *************************************************/ IF_Operation* GMP_Engine::if_op(const BigInt& e, const BigInt& n, const BigInt& d, const BigInt& p, const BigInt& q, const BigInt& d1, const BigInt& d2, const BigInt& c) const { return new GMP_IF_Op(e, n, d, p, q, d1, d2, c); } /************************************************* * Acquire a DSA op * *************************************************/ DSA_Operation* GMP_Engine::dsa_op(const DL_Group& group, const BigInt& y, const BigInt& x) const { return new GMP_DSA_Op(group, y, x); } /************************************************* * Acquire a NR op * *************************************************/ NR_Operation* GMP_Engine::nr_op(const DL_Group& group, const BigInt& y, const BigInt& x) const { return new GMP_NR_Op(group, y, x); } /************************************************* * Acquire an ElGamal op * *************************************************/ ELG_Operation* GMP_Engine::elg_op(const DL_Group& group, const BigInt& y, const BigInt& x) const { return new GMP_ELG_Op(group, y, x); } /************************************************* * Acquire a DH op * *************************************************/ DH_Operation* GMP_Engine::dh_op(const DL_Group& group, const BigInt& x) const { return new GMP_DH_Op(group, x); } }