Initial structure
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///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
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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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/// Restrictions:
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/// By making use of the Software for military purposes, you choose to make
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/// a Bunny unhappy.
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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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///
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/// @ref gtx_rotate_vector
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/// @file glm/gtx/rotate_vector.inl
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/// @date 2006-11-02 / 2011-06-07
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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namespace glm
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{
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec3<T, P> slerp
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(
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tvec3<T, P> const & x,
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tvec3<T, P> const & y,
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T const & a
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)
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{
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// get cosine of angle between vectors (-1 -> 1)
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T CosAlpha = dot(x, y);
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// get angle (0 -> pi)
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T Alpha = acos(CosAlpha);
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// get sine of angle between vectors (0 -> 1)
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T SinAlpha = sin(Alpha);
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// this breaks down when SinAlpha = 0, i.e. Alpha = 0 or pi
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T t1 = sin((static_cast<T>(1) - a) * Alpha) / SinAlpha;
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T t2 = sin(a * Alpha) / SinAlpha;
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// interpolate src vectors
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return x * t1 + y * t2;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec2<T, P> rotate
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(
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tvec2<T, P> const & v,
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T const & angle
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)
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{
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tvec2<T, P> Result;
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T const Cos(cos(angle));
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T const Sin(sin(angle));
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Result.x = v.x * Cos - v.y * Sin;
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Result.y = v.x * Sin + v.y * Cos;
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return Result;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec3<T, P> rotate
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(
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tvec3<T, P> const & v,
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T const & angle,
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tvec3<T, P> const & normal
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)
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{
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return tmat3x3<T, P>(glm::rotate(angle, normal)) * v;
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}
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/*
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec3<T, P> rotateGTX(
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const tvec3<T, P>& x,
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T angle,
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const tvec3<T, P>& normal)
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{
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const T Cos = cos(radians(angle));
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const T Sin = sin(radians(angle));
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return x * Cos + ((x * normal) * (T(1) - Cos)) * normal + cross(x, normal) * Sin;
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}
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*/
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec4<T, P> rotate
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(
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tvec4<T, P> const & v,
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T const & angle,
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tvec3<T, P> const & normal
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)
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{
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return rotate(angle, normal) * v;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec3<T, P> rotateX
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(
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tvec3<T, P> const & v,
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T const & angle
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)
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{
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tvec3<T, P> Result(v);
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T const Cos(cos(angle));
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T const Sin(sin(angle));
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Result.y = v.y * Cos - v.z * Sin;
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Result.z = v.y * Sin + v.z * Cos;
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return Result;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec3<T, P> rotateY
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(
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tvec3<T, P> const & v,
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T const & angle
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)
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{
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tvec3<T, P> Result = v;
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T const Cos(cos(angle));
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T const Sin(sin(angle));
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Result.x = v.x * Cos + v.z * Sin;
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Result.z = -v.x * Sin + v.z * Cos;
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return Result;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec3<T, P> rotateZ
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(
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tvec3<T, P> const & v,
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T const & angle
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)
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{
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tvec3<T, P> Result = v;
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T const Cos(cos(angle));
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T const Sin(sin(angle));
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Result.x = v.x * Cos - v.y * Sin;
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Result.y = v.x * Sin + v.y * Cos;
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return Result;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec4<T, P> rotateX
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(
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tvec4<T, P> const & v,
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T const & angle
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)
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{
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tvec4<T, P> Result = v;
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T const Cos(cos(angle));
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T const Sin(sin(angle));
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Result.y = v.y * Cos - v.z * Sin;
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Result.z = v.y * Sin + v.z * Cos;
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return Result;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec4<T, P> rotateY
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(
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tvec4<T, P> const & v,
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T const & angle
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)
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{
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tvec4<T, P> Result = v;
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T const Cos(cos(angle));
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T const Sin(sin(angle));
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Result.x = v.x * Cos + v.z * Sin;
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Result.z = -v.x * Sin + v.z * Cos;
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return Result;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec4<T, P> rotateZ
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(
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tvec4<T, P> const & v,
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T const & angle
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)
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{
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tvec4<T, P> Result = v;
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T const Cos(cos(angle));
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T const Sin(sin(angle));
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Result.x = v.x * Cos - v.y * Sin;
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Result.y = v.x * Sin + v.y * Cos;
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return Result;
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tmat4x4<T, P> orientation
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(
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tvec3<T, P> const & Normal,
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tvec3<T, P> const & Up
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)
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{
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if(all(equal(Normal, Up)))
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return tmat4x4<T, P>(T(1));
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tvec3<T, P> RotationAxis = cross(Up, Normal);
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T Angle = acos(dot(Normal, Up));
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return rotate(Angle, RotationAxis);
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}
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}//namespace glm
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