|
|
|
@ -20,6 +20,8 @@ |
|
|
|
|
|
|
|
|
|
namespace mcl { |
|
|
|
|
|
|
|
|
|
template<class _Fp> class Fp2T; |
|
|
|
|
|
|
|
|
|
namespace ec { |
|
|
|
|
|
|
|
|
|
enum Mode { |
|
|
|
@ -27,6 +29,25 @@ enum Mode { |
|
|
|
|
Proj = 1 |
|
|
|
|
}; |
|
|
|
|
|
|
|
|
|
namespace local { |
|
|
|
|
|
|
|
|
|
// x is negative <=> x < half(:=(p+1)/2) <=> a = 1
|
|
|
|
|
template<class Fp> |
|
|
|
|
bool get_a_flag(const Fp& x) |
|
|
|
|
{ |
|
|
|
|
return x.isNegative(); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
// Im(x) is negative <=> Im(x) < half(:=(p+1)/2) <=> a = 1
|
|
|
|
|
|
|
|
|
|
template<class Fp> |
|
|
|
|
bool get_a_flag(const mcl::Fp2T<Fp>& x) |
|
|
|
|
{ |
|
|
|
|
return get_a_flag(x.b); // x = a + bi
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
} // mcl::ec::local
|
|
|
|
|
|
|
|
|
|
} // mcl::ec
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
@ -708,6 +729,24 @@ public: |
|
|
|
|
EcT P(*this); |
|
|
|
|
P.normalize(); |
|
|
|
|
if (ioMode & (IoSerialize | IoSerializeHexStr)) { |
|
|
|
|
const size_t n = Fp::getByteSize(); |
|
|
|
|
const size_t adj = isMSBserialize() ? 0 : 1; |
|
|
|
|
char buf[sizeof(Fp) + 1]; |
|
|
|
|
if (Fp::BaseFp::isETHserialization()) { |
|
|
|
|
const char c_flag = 0x80; |
|
|
|
|
const char b_flag = 0x40; |
|
|
|
|
const char a_flag = 0x20; |
|
|
|
|
if (P.isZero()) { |
|
|
|
|
buf[0] = c_flag | b_flag; |
|
|
|
|
memset(buf + 1, 0, n - 1); |
|
|
|
|
} else { |
|
|
|
|
cybozu::MemoryOutputStream mos(buf, n); |
|
|
|
|
P.x.save(pb, mos, IoSerialize); if (!*pb) return; |
|
|
|
|
char cba = c_flag; |
|
|
|
|
if (ec::local::get_a_flag(P.y)) cba |= a_flag; |
|
|
|
|
buf[0] |= cba; |
|
|
|
|
} |
|
|
|
|
} else { |
|
|
|
|
/*
|
|
|
|
|
if (isMSBserialize()) { |
|
|
|
|
// n bytes
|
|
|
|
@ -717,9 +756,6 @@ public: |
|
|
|
|
(y.isOdd ? 3 : 2), x |
|
|
|
|
} |
|
|
|
|
*/ |
|
|
|
|
const size_t n = Fp::getByteSize(); |
|
|
|
|
const size_t adj = isMSBserialize() ? 0 : 1; |
|
|
|
|
char buf[sizeof(Fp) + 1]; |
|
|
|
|
if (isZero()) { |
|
|
|
|
memset(buf, 0, n + adj); |
|
|
|
|
} else { |
|
|
|
@ -733,6 +769,7 @@ public: |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
if (ioMode & IoSerializeHexStr) { |
|
|
|
|
mcl::fp::writeHexStr(pb, os, buf, n + adj); |
|
|
|
|
} else { |
|
|
|
@ -789,6 +826,38 @@ public: |
|
|
|
|
*pb = false; |
|
|
|
|
return; |
|
|
|
|
} |
|
|
|
|
if (Fp::BaseFp::isETHserialization()) { |
|
|
|
|
const char c_flag = 0x80; |
|
|
|
|
const char b_flag = 0x40; |
|
|
|
|
const char a_flag = 0x20; |
|
|
|
|
*pb = false; |
|
|
|
|
if ((buf[0] & c_flag) == 0) { // assume compressed
|
|
|
|
|
return; |
|
|
|
|
} |
|
|
|
|
if (buf[0] & b_flag) { // infinity
|
|
|
|
|
if (buf[0] != (c_flag | b_flag)) return; |
|
|
|
|
for (size_t i = 1; i < n - 1; i++) { |
|
|
|
|
if (buf[i]) return; |
|
|
|
|
} |
|
|
|
|
clear(); |
|
|
|
|
*pb = true; |
|
|
|
|
return; |
|
|
|
|
} |
|
|
|
|
bool a = (buf[0] & a_flag) != 0; |
|
|
|
|
buf[0] &= ~(c_flag | b_flag | a_flag); |
|
|
|
|
mcl::fp::local::byteSwap(buf, n); |
|
|
|
|
x.setArray(pb, buf, n); |
|
|
|
|
if (!*pb) return; |
|
|
|
|
getWeierstrass(y, x); |
|
|
|
|
if (!Fp::squareRoot(y, y)) { |
|
|
|
|
*pb = false; |
|
|
|
|
return; |
|
|
|
|
} |
|
|
|
|
if (ec::local::get_a_flag(y) ^ a) { |
|
|
|
|
Fp::neg(y, y); |
|
|
|
|
} |
|
|
|
|
return; |
|
|
|
|
} |
|
|
|
|
if (fp::isZeroArray(buf, n1)) { |
|
|
|
|
clear(); |
|
|
|
|
*pb = true; |
|
|
|
|