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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_vector_query
+/// @file glm/gtx/vector_query.inl
+/// @date 2008-03-10 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+#include <cassert>
+
+namespace glm{
+namespace detail
+{
+ template <typename T, precision P, template <typename, precision> class vecType>
+ struct compute_areCollinear{};
+
+ template <typename T, precision P>
+ struct compute_areCollinear<T, P, tvec2>
+ {
+ GLM_FUNC_QUALIFIER static bool call(tvec2<T, P> const & v0, tvec2<T, P> const & v1, T const & epsilon)
+ {
+ return length(cross(tvec3<T, P>(v0, static_cast<T>(0)), tvec3<T, P>(v1, static_cast<T>(0)))) < epsilon;
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_areCollinear<T, P, tvec3>
+ {
+ GLM_FUNC_QUALIFIER static bool call(tvec3<T, P> const & v0, tvec3<T, P> const & v1, T const & epsilon)
+ {
+ return length(cross(v0, v1)) < epsilon;
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_areCollinear<T, P, tvec4>
+ {
+ GLM_FUNC_QUALIFIER static bool call(tvec4<T, P> const & v0, tvec4<T, P> const & v1, T const & epsilon)
+ {
+ return length(cross(tvec3<T, P>(v0), tvec3<T, P>(v1))) < epsilon;
+ }
+ };
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ struct compute_isCompNull{};
+
+ template <typename T, precision P>
+ struct compute_isCompNull<T, P, tvec2>
+ {
+ GLM_FUNC_QUALIFIER static tvec2<bool, P> call(tvec2<T, P> const & v, T const & epsilon)
+ {
+ return tvec2<bool, P>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon));
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_isCompNull<T, P, tvec3>
+ {
+ GLM_FUNC_QUALIFIER static tvec3<bool, P> call(tvec3<T, P> const & v, T const & epsilon)
+ {
+ return tvec3<bool, P>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon),
+ (abs(v.z) < epsilon));
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_isCompNull<T, P, tvec4>
+ {
+ GLM_FUNC_QUALIFIER static tvec4<bool, P> call(tvec4<T, P> const & v, T const & epsilon)
+ {
+ return tvec4<bool, P>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon),
+ (abs(v.z) < epsilon),
+ (abs(v.w) < epsilon));
+ }
+ };
+
+}//namespace detail
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool areCollinear
+ (
+ vecType<T, P> const & v0,
+ vecType<T, P> const & v1,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areCollinear' only accept floating-point inputs");
+
+ return detail::compute_areCollinear<T, P, vecType>::call(v0, v1, epsilon);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool areOrthogonal
+ (
+ vecType<T, P> const & v0,
+ vecType<T, P> const & v1,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areOrthogonal' only accept floating-point inputs");
+
+ return abs(dot(v0, v1)) <= max(
+ static_cast<T>(1),
+ length(v0)) * max(static_cast<T>(1), length(v1)) * epsilon;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool isNormalized
+ (
+ vecType<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNormalized' only accept floating-point inputs");
+
+ return abs(length(v) - static_cast<T>(1)) <= static_cast<T>(2) * epsilon;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool isNull
+ (
+ vecType<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNull' only accept floating-point inputs");
+
+ return length(v) <= epsilon;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<bool, P> isCompNull
+ (
+ vecType<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isCompNull' only accept floating-point inputs");
+
+ return detail::compute_isCompNull<T, P, vecType>::call(v, epsilon);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec2<bool, P> isCompNull
+ (
+ tvec2<T, P> const & v,
+ T const & epsilon)
+ {
+ return tvec2<bool, P>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<bool, P> isCompNull
+ (
+ tvec3<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ return tvec3<bool, P>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon,
+ abs(v.z) < epsilon);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<bool, P> isCompNull
+ (
+ tvec4<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ return tvec4<bool, P>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon,
+ abs(v.z) < epsilon,
+ abs(v.w) < epsilon);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool areOrthonormal
+ (
+ vecType<T, P> const & v0,
+ vecType<T, P> const & v1,
+ T const & epsilon
+ )
+ {
+ return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
+ }
+
+}//namespace glm