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GaloisField$2$15$17.hpp
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GaloisField$2$15$17.hpp
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#pragma once
#include "GaloisField$2$15.hpp"
template<uint16_t base_poly, const GaloisField$2$15<base_poly>(&extend_poly)[18]>
class GaloisField$2$15$17 {
private:
GaloisField$2$15<base_poly> Data[17];
public:
GaloisField$2$15$17(uint16_t srcData = 0) : Data{ srcData } { }
GaloisField$2$15$17(const uint16_t(&srcData)[17]) {
for (int i = 0; i < 17; ++i)
Data[i].Value = srcData[i];
}
GaloisField$2$15$17<base_poly, extend_poly>
operator+(const GaloisField$2$15$17<base_poly, extend_poly>& other) const {
GaloisField$2$15$17<base_poly, extend_poly> ret;
for (int i = 0; i < 17; ++i)
ret.Data[i] = Data[i] + other.Data[i];
return ret;
}
GaloisField$2$15$17<base_poly, extend_poly>&
operator+=(const GaloisField$2$15$17<base_poly, extend_poly>& other) {
for (int i = 0; i < 17; ++i)
Data[i] += other.Data[i];
return *this;
}
GaloisField$2$15$17<base_poly, extend_poly>
operator-(const GaloisField$2$15$17<base_poly, extend_poly>& other) const {
return *this + other;
}
GaloisField$2$15$17<base_poly, extend_poly>&
operator-=(const GaloisField$2$15$17<base_poly, extend_poly>& other) {
return *this += other;
}
GaloisField$2$15$17<base_poly, extend_poly>
operator*(const GaloisField$2$15$17<base_poly, extend_poly>& other) const {
GaloisField$2$15<base_poly> temp[33] = { };
for (int i = 0; i < 17; ++i) {
for (int j = 0; j < 17; ++j) {
temp[i + j] += Data[i] * other.Data[j];
}
}
for (int i = 33 - 1; i > 17 - 1; --i) {
if (temp[i].Value != 0) {
for (int j = 0; j < 17; ++j)
temp[i - 17 + j] += temp[i] * extend_poly[j];
}
}
GaloisField$2$15$17 ret;
for (int i = 0; i < 17; ++i)
ret.Data[i] = temp[i];
return ret;
}
/*template<uint16_t _base_poly, const GaloisField$2$15<base_poly>(&_extend_poly)[18]>*/
GaloisField$2$15$17<base_poly, extend_poly>&
operator*=(const GaloisField$2$15$17<base_poly, extend_poly>& other) {
GaloisField$2$15<base_poly> temp[33] = { };
for (int i = 0; i < 17; ++i) {
for (int j = 0; j < 17; ++j) {
temp[i + j] += Data[i] * other.Data[j];
}
}
for (int i = 33 - 1; i > 17 - 1; --i) {
if (temp[i].Value != 0) {
for (int j = 0; j < 17; ++j)
temp[i - 17 + j] += temp[i] * extend_poly[j];
}
}
for (int i = 0; i < 17; ++i)
Data[i] = temp[i];
return *this;
}
// template<>
// GaloisField$2$15$17<base_poly, extend_poly>&
// operator*=(const GaloisField$2$15$17<base_poly, extend_poly>& other) {
//
// GaloisField$2$15<_base_poly> temp[33] = { };
// for (int i = 0; i < 17; ++i) {
// for (int j = 0; j < 17; ++j) {
// temp[i + j] += Data[i] * other.Data[j];
// }
// }
//
// for (int i = 33 - 1; i > 17 - 1; --i) {
// if (temp[i].Value != 0) {
// for (int j = 0; j < 17; ++j)
// temp[i - 17 + j] += temp[i] * extend_poly[j];
// }
// }
//
// for (int i = 0; i < 17; ++i)
// Data[i] = temp[i];
//
// return *this;
// }
GaloisField$2$15$17<base_poly, extend_poly> Inverse() const {
GaloisField$2$15$17<base_poly, extend_poly> ret;
ret.Data[0].Value = 1;
GaloisField$2$15$17<base_poly, extend_poly> temp(*this);
for (int i = 1; i < 15 * 17; ++i) {
temp *= temp;
ret *= temp;
}
return ret;
}
GaloisField$2$15$17<base_poly, extend_poly>
operator/(const GaloisField$2$15$17<base_poly, extend_poly>& other) const {
return *this * other.Inverse();
}
GaloisField$2$15$17<base_poly, extend_poly>&
operator/=(const GaloisField$2$15$17<base_poly, extend_poly>& other) const {
return *this *= other.Inverse();
}
bool operator==(const GaloisField$2$15$17<base_poly, extend_poly>& other) const {
for (int i = 0; i < 17; ++i) {
if (Data[i] != other.Data[i])
return false;
}
return true;
}
bool operator!=(const GaloisField$2$15$17<base_poly, extend_poly>& other) const {
for (int i = 0; i < 17; ++i) {
if (Data[i] != other.Data[i])
return true;
}
return false;
}
GaloisField$2$15$17<base_poly, extend_poly>&
operator=(uint16_t srcData) {
Data[0].Value = srcData;
for (int i = 1; i < 17; ++i)
Data[i].Value = 0;
return *this;
}
GaloisField$2$15$17<base_poly, extend_poly>&
operator=(const uint16_t(&srcData)[17]) {
for (int i = 0; i < 17; ++i)
Data[i].Value = srcData[i];
return *this;
}
void ToDecimal(uint64_t (&src)[4]) {
memset(src, 0, sizeof(src));
src[0] |= static_cast<uint64_t>(Data[0].Value); // 0 - 14
src[0] |= static_cast<uint64_t>(Data[1].Value) << 15; // 15 - 29
src[0] |= static_cast<uint64_t>(Data[2].Value) << 30; // 30 - 44
src[0] |= static_cast<uint64_t>(Data[3].Value) << 45; // 45 - 59
src[0] |= static_cast<uint64_t>(Data[4].Value) << 60; // 60 - 63
src[1] |= static_cast<uint64_t>(Data[4].Value) >> 4; // 0 - 10
src[1] |= static_cast<uint64_t>(Data[5].Value) << 11; // 11 - 25
src[1] |= static_cast<uint64_t>(Data[6].Value) << 26; // 26 - 40
src[1] |= static_cast<uint64_t>(Data[7].Value) << 41; // 41 - 55
src[1] |= static_cast<uint64_t>(Data[8].Value) << 56; // 56 - 63
src[2] |= static_cast<uint64_t>(Data[8].Value) >> 8; // 0 - 6
src[2] |= static_cast<uint64_t>(Data[9].Value) << 7; // 7 - 21
src[2] |= static_cast<uint64_t>(Data[10].Value) << 22; // 22 - 36
src[2] |= static_cast<uint64_t>(Data[11].Value) << 37; // 37 - 51
src[2] |= static_cast<uint64_t>(Data[12].Value) << 52; // 52 - 63
src[3] |= static_cast<uint64_t>(Data[12].Value) >> 12; // 0 - 2
src[3] |= static_cast<uint64_t>(Data[13].Value) << 3; // 3 - 17
src[3] |= static_cast<uint64_t>(Data[14].Value) << 18; // 18 - 32
src[3] |= static_cast<uint64_t>(Data[15].Value) << 33; // 33 - 47
src[3] |= static_cast<uint64_t>(Data[16].Value) << 48; // 48 - 62
}
uint16_t Get(size_t i) { return Data[i].Value; }
void Set(size_t i, uint16_t value) {
Data[i].Value = value;
}
__declspec(property(get = Get, put = Set)) uint16_t Value[];
};