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-///////////////////////////////////////////////////////////////////////////////////
-/// OpenGL Mathematics (glm.g-truc.net)
-///
-/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
-/// Permission is hereby granted, free of charge, to any person obtaining a copy
-/// of this software and associated documentation files (the "Software"), to deal
-/// in the Software without restriction, including without limitation the rights
-/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-/// copies of the Software, and to permit persons to whom the Software is
-/// furnished to do so, subject to the following conditions:
-///
-/// The above copyright notice and this permission notice shall be included in
-/// all copies or substantial portions of the Software.
-///
-/// Restrictions:
-/// By making use of the Software for military purposes, you choose to make
-/// a Bunny unhappy.
-///
-/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-/// THE SOFTWARE.
-///
-/// @ref gtx_rotate_vector
-/// @file glm/gtx/rotate_vector.inl
-/// @date 2006-11-02 / 2011-06-07
-/// @author Christophe Riccio
-///////////////////////////////////////////////////////////////////////////////////
-
-namespace glm
-{
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec3<T, P> slerp
- (
- tvec3<T, P> const & x,
- tvec3<T, P> const & y,
- T const & a
- )
- {
- // get cosine of angle between vectors (-1 -> 1)
- T CosAlpha = dot(x, y);
- // get angle (0 -> pi)
- T Alpha = acos(CosAlpha);
- // get sine of angle between vectors (0 -> 1)
- T SinAlpha = sin(Alpha);
- // this breaks down when SinAlpha = 0, i.e. Alpha = 0 or pi
- T t1 = sin((static_cast<T>(1) - a) * Alpha) / SinAlpha;
- T t2 = sin(a * Alpha) / SinAlpha;
-
- // interpolate src vectors
- return x * t1 + y * t2;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec2<T, P> rotate
- (
- tvec2<T, P> const & v,
- T const & angle
- )
- {
- tvec2<T, P> Result;
- T const Cos(cos(angle));
- T const Sin(sin(angle));
-
- Result.x = v.x * Cos - v.y * Sin;
- Result.y = v.x * Sin + v.y * Cos;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec3<T, P> rotate
- (
- tvec3<T, P> const & v,
- T const & angle,
- tvec3<T, P> const & normal
- )
- {
- return tmat3x3<T, P>(glm::rotate(angle, normal)) * v;
- }
- /*
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec3<T, P> rotateGTX(
- const tvec3<T, P>& x,
- T angle,
- const tvec3<T, P>& normal)
- {
- const T Cos = cos(radians(angle));
- const T Sin = sin(radians(angle));
- return x * Cos + ((x * normal) * (T(1) - Cos)) * normal + cross(x, normal) * Sin;
- }
- */
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec4<T, P> rotate
- (
- tvec4<T, P> const & v,
- T const & angle,
- tvec3<T, P> const & normal
- )
- {
- return rotate(angle, normal) * v;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec3<T, P> rotateX
- (
- tvec3<T, P> const & v,
- T const & angle
- )
- {
- tvec3<T, P> Result(v);
- T const Cos(cos(angle));
- T const Sin(sin(angle));
-
- Result.y = v.y * Cos - v.z * Sin;
- Result.z = v.y * Sin + v.z * Cos;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec3<T, P> rotateY
- (
- tvec3<T, P> const & v,
- T const & angle
- )
- {
- tvec3<T, P> Result = v;
- T const Cos(cos(angle));
- T const Sin(sin(angle));
-
- Result.x = v.x * Cos + v.z * Sin;
- Result.z = -v.x * Sin + v.z * Cos;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec3<T, P> rotateZ
- (
- tvec3<T, P> const & v,
- T const & angle
- )
- {
- tvec3<T, P> Result = v;
- T const Cos(cos(angle));
- T const Sin(sin(angle));
-
- Result.x = v.x * Cos - v.y * Sin;
- Result.y = v.x * Sin + v.y * Cos;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec4<T, P> rotateX
- (
- tvec4<T, P> const & v,
- T const & angle
- )
- {
- tvec4<T, P> Result = v;
- T const Cos(cos(angle));
- T const Sin(sin(angle));
-
- Result.y = v.y * Cos - v.z * Sin;
- Result.z = v.y * Sin + v.z * Cos;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec4<T, P> rotateY
- (
- tvec4<T, P> const & v,
- T const & angle
- )
- {
- tvec4<T, P> Result = v;
- T const Cos(cos(angle));
- T const Sin(sin(angle));
-
- Result.x = v.x * Cos + v.z * Sin;
- Result.z = -v.x * Sin + v.z * Cos;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tvec4<T, P> rotateZ
- (
- tvec4<T, P> const & v,
- T const & angle
- )
- {
- tvec4<T, P> Result = v;
- T const Cos(cos(angle));
- T const Sin(sin(angle));
-
- Result.x = v.x * Cos - v.y * Sin;
- Result.y = v.x * Sin + v.y * Cos;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tmat4x4<T, P> orientation
- (
- tvec3<T, P> const & Normal,
- tvec3<T, P> const & Up
- )
- {
- if(all(equal(Normal, Up)))
- return tmat4x4<T, P>(T(1));
-
- tvec3<T, P> RotationAxis = cross(Up, Normal);
- T Angle = acos(dot(Normal, Up));
-
- return rotate(Angle, RotationAxis);
- }
-}//namespace glm