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