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#pragma once
template<typename num, int h, int w>
struct Mat
{
num data[h][w];
template<int p>
Mat<num, w, p> operator*(const Mat<num, w, p>& other) const
{
Mat<num, w, p> ret;
for (int j = 0; j < w; j++)
for (int i = 0; i < p; i++)
{
num sum = num(0);
for (int k = 0; k < h; k++)
sum += data[j][k]*other.data[k][i];
ret.data[j][i] = sum;
}
return ret;
}
num operator()(int j, int i) const { return data[j][i]; }
num& operator()(int j, int i) { return data[j][i]; }
Mat()
{
for (int j = 0; j < h; j++)
for (int i = 0; i < w; i++)
data[j][i] = 0;
}
Mat(const num* mem)
{
for (int j = 0; j < h; j++)
for (int i = 0; i < w; i++)
data[j][i] = mem[i*h+j];
}
// XXX add more operators as needed, third-party dependencies mostly
// not needed merely for matrix algebra -sh 20141030
static Mat<num, h, h> eye()
{
Mat<num, h, h> ret;
for (int j = 0; j < h; j++)
for (int i = 0; i < w; i++)
ret.data[j][i] = 0;
for (int i = 0; i < h; i++)
ret.data[i][i] = 1;
return ret;
}
Mat<num, w, h> t()
{
Mat<num, w, h> ret;
for (int j = 0; j < h; j++)
for (int i = 0; i < w; i++)
ret.data[i][j] = data[j][i];
return ret;
}
};
template<int h, int w> using dmat = Mat<double, h, w>;
using rmat = dmat<3, 3>;
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