332 lines
7.8 KiB
C++
332 lines
7.8 KiB
C++
// Copyright (c) 2016-2018 Kiwano - Nomango
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in
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// all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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// THE SOFTWARE.
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#pragma once
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#include "Vec2.hpp"
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#include "Rect.hpp"
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#include <algorithm>
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namespace kiwano
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{
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namespace math
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{
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template <typename _Ty, typename _Lty, typename _Rty>
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struct MatrixMultiply;
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template <typename _Ty>
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struct MatrixT
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{
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using value_type = _Ty;
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using vec2_type = Vec2T<value_type>;
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using rect_type = RectT<value_type>;
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union
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{
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struct
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{
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_Ty m[6]; // m[3][2]
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};
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struct
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{
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_Ty
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_11, _12,
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_21, _22,
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_31, _32;
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};
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};
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MatrixT()
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: _11(1.f), _12(0.f)
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, _21(0.f), _22(1.f)
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, _31(0.f), _32(0.f)
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{
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}
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MatrixT(value_type _11, value_type _12, value_type _21, value_type _22, value_type _31, value_type _32)
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: _11(_11), _12(_12), _21(_21), _22(_22), _31(_31), _32(_32)
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{
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}
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explicit MatrixT(const value_type* p)
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{
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for (int i = 0; i < 6; i++)
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m[i] = p[i];
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}
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MatrixT(MatrixT const& other)
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: _11(other._11), _12(other._12)
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, _21(other._21), _22(other._22)
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, _31(other._31), _32(other._32)
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{
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}
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template <typename _MTy>
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MatrixT(_MTy const& other)
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{
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for (int i = 0; i < 6; i++)
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m[i] = other[i];
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}
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inline value_type operator [](unsigned int index) const
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{
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return m[index];
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}
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inline value_type& operator [](unsigned int index)
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{
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return m[index];
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}
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inline MatrixT& operator= (MatrixT const& other)
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{
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for (int i = 0; i < 6; i++)
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m[i] = other[i];
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return (*this);
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}
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template <typename _Lty, typename _Rty>
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inline MatrixT& operator= (MatrixMultiply<value_type, _Lty, _Rty> const& other)
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{
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MatrixT result(other);
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(*this) = result;
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return (*this);
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}
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inline MatrixT& operator*= (MatrixT const& other)
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{
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return operator=((*this) * other);
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}
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inline void Identity()
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{
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_11 = 1.f; _12 = 0.f;
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_21 = 0.f; _22 = 1.f;
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_31 = 0.f; _32 = 0.f;
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}
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inline bool IsIdentity() const
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{
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return _11 == 1.f && _12 == 0.f &&
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_21 == 0.f && _22 == 1.f &&
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_31 == 0.f && _32 == 0.f;
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}
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inline MatrixT Invert() const
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{
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value_type det = 1.f / Determinant();
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return MatrixT(
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det * _22,
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-det * _12,
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-det * _21,
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det * _11,
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det * (_21 * _32 - _22 * _31),
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det * (_12 * _31 - _11 * _32)
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);
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}
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inline bool IsInvertible() const
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{
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return 0 != Determinant();
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}
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inline value_type Determinant() const
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{
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return (_11 * _22) - (_12 * _21);
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}
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inline vec2_type Transform(const vec2_type& v) const
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{
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return vec2_type(
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v.x * _11 + v.y * _21 + _31,
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v.x * _12 + v.y * _22 + _32
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);
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}
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rect_type Transform(const rect_type & rect) const
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{
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vec2_type top_left = Transform(rect.GetLeftTop());
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vec2_type top_right = Transform(rect.GetRightTop());
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vec2_type bottom_left = Transform(rect.GetLeftBottom());
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vec2_type bottom_right = Transform(rect.GetRightBottom());
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value_type left = std::min(std::min(top_left.x, top_right.x), std::min(bottom_left.x, bottom_right.x));
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value_type right = std::max(std::max(top_left.x, top_right.x), std::max(bottom_left.x, bottom_right.x));
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value_type top = std::min(std::min(top_left.y, top_right.y), std::min(bottom_left.y, bottom_right.y));
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value_type bottom = std::max(std::max(top_left.y, top_right.y), std::max(bottom_left.y, bottom_right.y));
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return rect_type{ left, top, (right - left), (bottom - top) };
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}
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inline void Translate(const vec2_type& v)
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{
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_31 += _11 * v.x + _21 * v.y;
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_32 += _12 * v.x + _22 * v.y;
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}
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static inline MatrixT Translation(const vec2_type& v)
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{
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return MatrixT(
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1.f, 0.f,
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0.f, 1.f,
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v.x, v.y
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);
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}
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static inline MatrixT Scaling(const vec2_type& v)
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{
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return MatrixT(
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v.x, 0.f,
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0.f, v.y,
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0.f, 0.f
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);
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}
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static inline MatrixT Scaling(
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const vec2_type& v,
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const vec2_type& center)
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{
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return MatrixT(
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v.x, 0.f,
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0.f, v.y,
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center.x - v.x * center.x,
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center.y - v.y * center.y
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);
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}
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static inline MatrixT Rotation(value_type angle)
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{
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value_type s = math::Sin(angle);
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value_type c = math::Cos(angle);
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return MatrixT(
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c, s,
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-s, c,
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0.f, 0.f
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);
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}
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static inline MatrixT Rotation(
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value_type angle,
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const vec2_type& center)
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{
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value_type s = math::Sin(angle);
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value_type c = math::Cos(angle);
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return MatrixT(
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c, s,
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-s, c,
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center.x * (1 - c) + center.y * s,
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center.y * (1 - c) - center.x * s
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);
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}
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static inline MatrixT SRT(const vec2_type& trans, const vec2_type& scale, value_type angle)
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{
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value_type s = math::Sin(angle);
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value_type c = math::Cos(angle);
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return MatrixT(
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c * scale.x, s * scale.x,
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-s * scale.y, c * scale.y,
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trans.x, trans.y
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);
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}
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static inline MatrixT Skewing(const vec2_type& angle)
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{
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value_type tx = math::Tan(angle.x);
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value_type ty = math::Tan(angle.y);
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return MatrixT(
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1.f, -ty,
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-tx, 1.f,
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0.f, 0.f
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);
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}
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static inline MatrixT Skewing(
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const vec2_type& angle,
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const vec2_type& center)
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{
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value_type tx = math::Tan(angle.x);
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value_type ty = math::Tan(angle.y);
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return MatrixT(
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1.f, -ty,
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-tx, 1.f,
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center.y * tx, center.x * ty
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);
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}
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};
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// Use template expression to optimize matrix multiply
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template <typename _Ty, typename _Lty, typename _Rty>
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struct MatrixMultiply
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{
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_Lty const& lhs;
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_Rty const& rhs;
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MatrixMultiply(_Lty const& lhs, _Rty const& rhs)
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: lhs(lhs)
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, rhs(rhs)
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{}
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inline _Ty operator [](unsigned int index) const
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{
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switch (index)
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{
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case 0:
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return lhs[0] * rhs[0] + lhs[1] * rhs[2];
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case 1:
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return lhs[0] * rhs[1] + lhs[1] * rhs[3];
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case 2:
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return lhs[2] * rhs[0] + lhs[3] * rhs[2];
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case 3:
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return lhs[2] * rhs[1] + lhs[3] * rhs[3];
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case 4:
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return lhs[4] * rhs[0] + lhs[5] * rhs[2] + rhs[4];
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case 5:
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return lhs[4] * rhs[1] + lhs[5] * rhs[3] + rhs[5];
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default:
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return 0.f;
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}
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}
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};
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template <typename _Ty>
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inline
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MatrixMultiply<_Ty, MatrixT<_Ty>, MatrixT<_Ty>>
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operator *(MatrixT<_Ty> const& lhs, MatrixT<_Ty> const& rhs)
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{
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return MatrixMultiply<_Ty, MatrixT<_Ty>, MatrixT<_Ty>>(lhs, rhs);
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}
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template <typename _Ty, typename _Lty, typename _Rty>
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inline
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MatrixMultiply<_Ty, MatrixMultiply<_Ty, _Lty, _Rty>, MatrixT<_Ty>>
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operator *(MatrixMultiply<_Ty, _Lty, _Rty> const& lhs, MatrixT<_Ty> const& rhs)
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{
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return MatrixMultiply<_Ty, MatrixMultiply<_Ty, _Lty, _Rty>, MatrixT<_Ty>>(lhs, rhs);
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}
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}
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}
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namespace kiwano
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{
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using Matrix = kiwano::math::MatrixT<float>;
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}
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