///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2005-02-28
// Updated : 2005-04-23
// Licence : This source is under MIT License
// File : glm/gtx/transform2.inl
///////////////////////////////////////////////////////////////////////////////////////////////////

namespace glm
{
	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat3x3<T, P> shearX2D(
		const detail::tmat3x3<T, P>& m, 
		T s)
	{
		detail::tmat3x3<T, P> r(1);
		r[0][1] = s;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat3x3<T, P> shearY2D(
		const detail::tmat3x3<T, P>& m, 
		T s)
	{
		detail::tmat3x3<T, P> r(1);
		r[1][0] = s;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> shearX3D(
		const detail::tmat4x4<T, P>& m, 
		T s, 
		T t)
	{
		detail::tmat4x4<T, P> r(1);
		r[1][0] = s;
		r[2][0] = t;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> shearY3D(
		const detail::tmat4x4<T, P>& m, 
		T s, 
		T t)
	{
		detail::tmat4x4<T, P> r(1);
		r[0][1] = s;
		r[2][1] = t;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> shearZ3D(
		const detail::tmat4x4<T, P>& m, 
		T s, 
		T t)
	{
		detail::tmat4x4<T, P> r(1);
		r[0][2] = s;
		r[1][2] = t;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat3x3<T, P> reflect2D(
		const detail::tmat3x3<T, P>& m, 
		const detail::tvec3<T, P>& normal)
	{
		detail::tmat3x3<T, P> r(1);
		r[0][0] = 1 - 2 * normal.x * normal.x;
		r[0][1] = -2 * normal.x * normal.y;
		r[1][0] = -2 * normal.x * normal.y;
		r[1][1] = 1 - 2 * normal.y * normal.y;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> reflect3D(
		const detail::tmat4x4<T, P>& m, 
		const detail::tvec3<T, P>& normal)
	{
		detail::tmat4x4<T, P> r(1);
		r[0][0] = 1 - 2 * normal.x * normal.x;
		r[0][1] = -2 * normal.x * normal.y;
		r[0][2] = -2 * normal.x * normal.z;

		r[1][0] = -2 * normal.x * normal.y;
		r[1][1] = 1 - 2 * normal.y * normal.y;
		r[1][2] = -2 * normal.y * normal.z;

		r[2][0] = -2 * normal.x * normal.z;
		r[2][1] = -2 * normal.y * normal.z;
		r[2][2] = 1 - 2 * normal.z * normal.z;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat3x3<T, P> proj2D(
		const detail::tmat3x3<T, P>& m, 
		const detail::tvec3<T, P>& normal)
	{
		detail::tmat3x3<T, P> r(1);
		r[0][0] = 1 - normal.x * normal.x;
		r[0][1] = - normal.x * normal.y;
		r[1][0] = - normal.x * normal.y;
		r[1][1] = 1 - normal.y * normal.y;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> proj3D(
		const detail::tmat4x4<T, P>& m, 
		const detail::tvec3<T, P>& normal)
	{
		detail::tmat4x4<T, P> r(1);
		r[0][0] = 1 - normal.x * normal.x;
		r[0][1] = - normal.x * normal.y;
		r[0][2] = - normal.x * normal.z;
		r[1][0] = - normal.x * normal.y;
		r[1][1] = 1 - normal.y * normal.y;
		r[1][2] = - normal.y * normal.z;
		r[2][0] = - normal.x * normal.z;
		r[2][1] = - normal.y * normal.z;
		r[2][2] = 1 - normal.z * normal.z;
		return m * r;
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> scaleBias(
		T scale, 
		T bias)
	{
		detail::tmat4x4<T, P> result;
		result[3] = detail::tvec4<T, P>(detail::tvec3<T, P>(bias), T(1));
		result[0][0] = scale;
		result[1][1] = scale;
		result[2][2] = scale;
		return result;
	}

	template <typename T, precision P> 
	GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> scaleBias(
		const detail::tmat4x4<T, P>& m, 
		T scale, 
		T bias)
	{
		return m * scaleBias(scale, bias);
	}
}//namespace glm