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Diffstat (limited to 'inc/glm/gtx/rotate_vector.inl')
| -rw-r--r-- | inc/glm/gtx/rotate_vector.inl | 217 |
1 files changed, 217 insertions, 0 deletions
diff --git a/inc/glm/gtx/rotate_vector.inl b/inc/glm/gtx/rotate_vector.inl new file mode 100644 index 0000000..dc1d07c --- /dev/null +++ b/inc/glm/gtx/rotate_vector.inl @@ -0,0 +1,217 @@ +///////////////////////////////////////////////////////////////////////////////////
+/// 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
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