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commit
ff82b5a886
20
integer.cpp
20
integer.cpp
@ -4380,7 +4380,20 @@ Integer Integer::InverseMod(const Integer &m) const
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CRYPTOPP_ASSERT(m.NotNegative());
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if (IsNegative())
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return Modulo(m).InverseMod(m);
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return Modulo(m).InverseModNext(m);
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// Place *this in the range [0, 2m-1]
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// http://github.com/weidai11/cryptopp/issues/602
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if (*this >= (m << 1))
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return Modulo(m).InverseModNext(m);
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return InverseModNext(m);
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}
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Integer Integer::InverseModNext(const Integer &m) const
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{
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CRYPTOPP_ASSERT(m.NotNegative());
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CRYPTOPP_ASSERT(*this < 2*m);
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if (m.IsEven())
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{
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@ -4389,11 +4402,12 @@ Integer Integer::InverseMod(const Integer &m) const
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if (*this == One())
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return One();
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Integer u = m.Modulo(*this).InverseMod(*this);
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Integer u = m.Modulo(*this).InverseModNext(*this);
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return !u ? Zero() : (m*(*this-u)+1)/(*this);
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}
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SecBlock<word> T(m.reg.size() * 4);
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// AlmostInverse requires a 4x workspace
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IntegerSecBlock T(m.reg.size() * 4);
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Integer r((word)0, m.reg.size());
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unsigned k = AlmostInverse(r.reg, T, reg, reg.size(), m.reg, m.reg.size());
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DivideByPower2Mod(r.reg, r.reg, k, m.reg, m.reg.size());
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@ -630,6 +630,11 @@ public:
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CRYPTOPP_DLL friend Integer CRYPTOPP_API a_exp_b_mod_c(const Integer &x, const Integer& e, const Integer& m);
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#endif
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protected:
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// https://github.com/weidai11/cryptopp/issues/602
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Integer InverseModNext(const Integer &n) const;
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private:
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Integer(word value, size_t length);
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8
test.cpp
8
test.cpp
@ -956,12 +956,14 @@ bool Validate(int alg, bool thorough, const char *seedInput)
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case 9998: result = TestPolynomialMod2(); break;
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// http://github.com/weidai11/cryptopp/issues/336
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case 9997: result = TestIntegerBitops(); break;
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// http://github.com/weidai11/cryptopp/issues/602
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case 9996: result = TestIntegerOps(); break;
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// http://github.com/weidai11/cryptopp/issues/360
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case 9996: result = TestRounding(); break;
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case 9995: result = TestRounding(); break;
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// http://github.com/weidai11/cryptopp/issues/242
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case 9995: result = TestHuffmanCodes(); break;
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case 9994: result = TestHuffmanCodes(); break;
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// http://github.com/weidai11/cryptopp/issues/346
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case 9994: result = TestASN1Parse(); break;
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case 9993: result = TestASN1Parse(); break;
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#endif
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default: return false;
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122
validat0.cpp
122
validat0.cpp
@ -3193,6 +3193,128 @@ bool TestIntegerBitops()
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return opa && opo && opx;
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}
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bool TestIntegerOps()
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{
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std::cout << "\nTesting Integer operations...\n\n";
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bool pass=true, result;
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// http://github.com/weidai11/cryptopp/issues/602
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Integer a("0x2F0500010000018000000000001C1C000000000000000A000B0000000000000000000000000000FDFFFFFF00000000");
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Integer b("0x3D2F050001");
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result = (0x3529E4FEBC == a.InverseMod(b));
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pass = result && pass;
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if (!result)
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std::cout << "FAILED: InverseMod operation\n";
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RandomNumberGenerator& prng = GlobalRNG();
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for (unsigned int i=0; i<128; ++i)
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{
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Integer a(prng, 1024), m(prng, 1024);
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a++, m++; // make non-0
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// Corner cases
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switch (i)
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{
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case 0:
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a = 0;
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break;
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case 1:
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a = m-1;
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break;
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case 2:
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a = m;
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break;
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case 3:
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a = m+1;
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break;
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case 4:
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a = 2*m-1;
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break;
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case 5:
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a = 2*m;
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break;
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case 6:
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a = 2*m+1;
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break;
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case 7:
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a = (m<<256)-1;
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break;
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case 8:
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a = (m<<256);
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break;
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case 9:
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a = (m<<256)+1;
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default:
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;;
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}
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Integer x = a.InverseMod(m);
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Integer y = (a % m).InverseMod(m);
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Integer z = (a * y).Modulo(m);
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if (GCD(a,m) == 1) // coprime?
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result = (x == y) && (z == 1) && (a_times_b_mod_c(a, x, m) == 1);
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else
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result = (x == y);
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pass = result && pass;
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if (!result)
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std::cout << "FAILED: InverseMod operation\n";
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}
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for (unsigned int i=0; i<128; ++i)
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{
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Integer m(prng, 32);
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m++; // make non-0
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for (unsigned int j=0; j<256; j+=4)
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{
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Integer a((m << j)-1);
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Integer x = a.InverseMod(m);
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Integer y = (a % m).InverseMod(m);
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Integer z = (a * y).Modulo(m);
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if (GCD(a,m) == 1) // coprime?
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result = (x == y) && (z == 1) && (a_times_b_mod_c(a, x, m) == 1);
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else
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result = (x == y);
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pass = result && pass;
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if (!result)
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std::cout << "FAILED: InverseMod operation\n";
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}
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}
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for (unsigned int i=0; i<128; ++i)
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{
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Integer a(prng, 4096), m(prng, 32);
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a++, m++; // make non-0
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Integer x = a.InverseMod(m);
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Integer y = (a % m).InverseMod(m);
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Integer z = (a * y).Modulo(m);
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if (GCD(a,m) == 1) // coprime?
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result = (x == y) && (z == 1) && (a_times_b_mod_c(a, x, m) == 1);
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else
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result = (x == y);
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pass = result && pass;
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if (!result)
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std::cout << "FAILED: InverseMod operation\n";
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}
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if (pass)
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std::cout << "passed:";
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else
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std::cout << "FAILED:";
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std::cout << " Integer::InverseMod operations\n";
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return pass;
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}
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#endif
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NAMESPACE_END // Test
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@ -128,6 +128,8 @@ bool TestSecBlock();
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bool TestPolynomialMod2();
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// http://github.com/weidai11/cryptopp/issues/336
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bool TestIntegerBitops();
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// http://github.com/weidai11/cryptopp/issues/602
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bool TestIntegerOps();
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// http://github.com/weidai11/cryptopp/issues/360
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bool TestRounding();
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// http://github.com/weidai11/cryptopp/issues/242
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@ -189,7 +191,7 @@ private:
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};
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#endif
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// Safer functions on Windows for C&A, https://github.com/weidai11/cryptopp/issues/55
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// Safer functions on Windows for C&A, http://github.com/weidai11/cryptopp/issues/55
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inline std::string TimeToString(const time_t& t)
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{
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#if (CRYPTOPP_MSC_VERSION >= 1400)
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