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#pragma once
#include "../base/matrix.hpp"
#include "point2d.hpp"
/// v` = v * M, v = [x, y, 1]
namespace math
{
template <typename T, typename U>
Matrix<T, 3, 3> const Rotate(Matrix<T, 3, 3> const & m, U const & angle)
{
Matrix<T, 3, 3> m1 = Identity<T, 3>();
m1(0, 0) = cos(angle); m1(0, 1) = sin(angle);
m1(1, 0) = -sin(angle); m1(1, 1) = cos(angle);
return m * m1;
}
template <typename T, typename U>
Matrix<T, 3, 3> const Rotate(Matrix<T, 3, 3> const & m, U const & cos, U const & sin)
{
Matrix<T, 3, 3> m1 = Identity<T, 3>();
m1(0, 0) = cos; m1(0, 1) = sin;
m1(1, 0) = -sin; m1(1, 1) = cos;
return m * m1;
}
template <typename T, typename U>
Matrix<T, 3, 3> const Shift(Matrix<T, 3, 3> const & m, U const & dx, U const & dy)
{
Matrix<T, 3, 3> m1 = Identity<T, 3>();
m1(2, 0) = dx;
m1(2, 1) = dy;
return m * m1;
}
template <typename T, typename U>
Matrix<T, 3, 3> const Shift(Matrix<T, 3, 3> const & m, m2::Point<U> const & pt)
{
return Shift(m, pt.x, pt.y);
}
template <typename T, typename U>
Matrix<T, 3, 3> const Scale(Matrix<T, 3, 3> const & m, U const & kx, U const & ky)
{
Matrix<T, 3, 3> m1 = Identity<T, 3>();
m1(0, 0) = kx;
m1(1, 1) = ky;
return m * m1;
}
template <typename T, typename U>
Matrix<T, 3, 3> const Scale(Matrix<T, 3, 3> const & m, m2::Point<U> const & pt)
{
return Scale(m, pt.x, pt.y);
}
}
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