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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2008-10-09
+// Updated : 2008-10-09
+// Licence : This source is under MIT License
+// File : glm/gtx/reciprocal.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm{
+namespace gtx{
+namespace reciprocal{
+
+// sec
+template <typename genType>
+GLM_FUNC_QUALIFIER genType sec
+(
+ genType const & angle
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sec' only accept floating-point values");
+
+ return genType(1) / glm::cos(angle);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> sec
+(
+ detail::tvec2<valType> const & angle
+)
+{
+ return detail::tvec2<valType>(
+ sec(angle.x),
+ sec(angle.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> sec
+(
+ detail::tvec3<valType> const & angle
+)
+{
+ return detail::tvec3<valType>(
+ sec(angle.x),
+ sec(angle.y),
+ sec(angle.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> sec
+(
+ detail::tvec4<valType> const & angle
+)
+{
+ return detail::tvec4<valType>(
+ sec(angle.x),
+ sec(angle.y),
+ sec(angle.z),
+ sec(angle.w));
+}
+
+// csc
+template <typename genType>
+GLM_FUNC_QUALIFIER genType csc
+(
+ genType const & angle
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csc' only accept floating-point values");
+
+ return genType(1) / glm::sin(angle);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> csc
+(
+ detail::tvec2<valType> const & angle
+)
+{
+ return detail::tvec2<valType>(
+ csc(angle.x),
+ csc(angle.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> csc
+(
+ detail::tvec3<valType> const & angle
+)
+{
+ return detail::tvec3<valType>(
+ csc(angle.x),
+ csc(angle.y),
+ csc(angle.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> csc
+(
+ detail::tvec4<valType> const & angle
+)
+{
+ return detail::tvec4<valType>(
+ csc(angle.x),
+ csc(angle.y),
+ csc(angle.z),
+ csc(angle.w));
+}
+
+// cot
+template <typename genType>
+GLM_FUNC_QUALIFIER genType cot
+(
+ genType const & angle
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cot' only accept floating-point values");
+
+ return genType(1) / glm::tan(angle);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> cot
+(
+ detail::tvec2<valType> const & angle
+)
+{
+ return detail::tvec2<valType>(
+ cot(angle.x),
+ cot(angle.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> cot
+(
+ detail::tvec3<valType> const & angle
+)
+{
+ return detail::tvec3<valType>(
+ cot(angle.x),
+ cot(angle.y),
+ cot(angle.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> cot
+(
+ detail::tvec4<valType> const & angle
+)
+{
+ return detail::tvec4<valType>(
+ cot(angle.x),
+ cot(angle.y),
+ cot(angle.z),
+ cot(angle.w));
+}
+
+// asec
+template <typename genType>
+GLM_FUNC_QUALIFIER genType asec
+(
+ genType const & x
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asec' only accept floating-point values");
+
+ return acos(genType(1) / x);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> asec
+(
+ detail::tvec2<valType> const & x
+)
+{
+ return detail::tvec2<valType>(
+ asec(x.x),
+ asec(x.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> asec
+(
+ detail::tvec3<valType> const & x
+)
+{
+ return detail::tvec3<valType>(
+ asec(x.x),
+ asec(x.y),
+ asec(x.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> asec
+(
+ detail::tvec4<valType> const & x
+)
+{
+ return detail::tvec4<valType>(
+ asec(x.x),
+ asec(x.y),
+ asec(x.z),
+ asec(x.w));
+}
+
+// acsc
+template <typename genType>
+GLM_FUNC_QUALIFIER genType acsc
+(
+ genType const & x
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsc' only accept floating-point values");
+
+ return asin(genType(1) / x);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> acsc
+(
+ detail::tvec2<valType> const & x
+)
+{
+ return detail::tvec2<valType>(
+ acsc(x.x),
+ acsc(x.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> acsc
+(
+ detail::tvec3<valType> const & x
+)
+{
+ return detail::tvec3<valType>(
+ acsc(x.x),
+ acsc(x.y),
+ acsc(x.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> acsc
+(
+ detail::tvec4<valType> const & x
+)
+{
+ return detail::tvec4<valType>(
+ acsc(x.x),
+ acsc(x.y),
+ acsc(x.z),
+ acsc(x.w));
+}
+
+// acot
+template <typename genType>
+GLM_FUNC_QUALIFIER genType acot
+(
+ genType const & x
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acot' only accept floating-point values");
+
+ genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0);
+ return pi_over_2 - atan(x);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> acot
+(
+ detail::tvec2<valType> const & x
+)
+{
+ return detail::tvec2<valType>(
+ acot(x.x),
+ acot(x.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> acot
+(
+ detail::tvec3<valType> const & x
+)
+{
+ return detail::tvec3<valType>(
+ acot(x.x),
+ acot(x.y),
+ acot(x.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> acot
+(
+ detail::tvec4<valType> const & x
+)
+{
+ return detail::tvec4<valType>(
+ acot(x.x),
+ acot(x.y),
+ acot(x.z),
+ acot(x.w));
+}
+
+// sech
+template <typename genType>
+GLM_FUNC_QUALIFIER genType sech
+(
+ genType const & angle
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sech' only accept floating-point values");
+
+ return genType(1) / glm::cosh(angle);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> sech
+(
+ detail::tvec2<valType> const & angle
+)
+{
+ return detail::tvec2<valType>(
+ sech(angle.x),
+ sech(angle.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> sech
+(
+ detail::tvec3<valType> const & angle
+)
+{
+ return detail::tvec3<valType>(
+ sech(angle.x),
+ sech(angle.y),
+ sech(angle.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> sech
+(
+ detail::tvec4<valType> const & angle
+)
+{
+ return detail::tvec4<valType>(
+ sech(angle.x),
+ sech(angle.y),
+ sech(angle.z),
+ sech(angle.w));
+}
+
+// csch
+template <typename genType>
+GLM_FUNC_QUALIFIER genType csch
+(
+ genType const & angle
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csch' only accept floating-point values");
+
+ return genType(1) / glm::sinh(angle);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> csch
+(
+ detail::tvec2<valType> const & angle
+)
+{
+ return detail::tvec2<valType>(
+ csch(angle.x),
+ csch(angle.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> csch
+(
+ detail::tvec3<valType> const & angle
+)
+{
+ return detail::tvec3<valType>(
+ csch(angle.x),
+ csch(angle.y),
+ csch(angle.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> csch
+(
+ detail::tvec4<valType> const & angle
+)
+{
+ return detail::tvec4<valType>(
+ csch(angle.x),
+ csch(angle.y),
+ csch(angle.z),
+ csch(angle.w));
+}
+
+// coth
+template <typename genType>
+GLM_FUNC_QUALIFIER genType coth
+(
+ genType const & angle
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'coth' only accept floating-point values");
+
+ return glm::cosh(angle) / glm::sinh(angle);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> coth
+(
+ detail::tvec2<valType> const & angle
+)
+{
+ return detail::tvec2<valType>(
+ coth(angle.x),
+ coth(angle.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> coth
+(
+ detail::tvec3<valType> const & angle
+)
+{
+ return detail::tvec3<valType>(
+ coth(angle.x),
+ coth(angle.y),
+ coth(angle.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> coth
+(
+ detail::tvec4<valType> const & angle
+)
+{
+ return detail::tvec4<valType>(
+ coth(angle.x),
+ coth(angle.y),
+ coth(angle.z),
+ coth(angle.w));
+}
+
+// asech
+template <typename genType>
+GLM_FUNC_QUALIFIER genType asech
+(
+ genType const & x
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asech' only accept floating-point values");
+
+ return acosh(genType(1) / x);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> asech
+(
+ detail::tvec2<valType> const & x
+)
+{
+ return detail::tvec2<valType>(
+ asech(x.x),
+ asech(x.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> asech
+(
+ detail::tvec3<valType> const & x
+)
+{
+ return detail::tvec3<valType>(
+ asech(x.x),
+ asech(x.y),
+ asech(x.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> asech
+(
+ detail::tvec4<valType> const & x
+)
+{
+ return detail::tvec4<valType>(
+ asech(x.x),
+ asech(x.y),
+ asech(x.z),
+ asech(x.w));
+}
+
+// acsch
+template <typename genType>
+GLM_FUNC_QUALIFIER genType acsch
+(
+ genType const & x
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsch' only accept floating-point values");
+
+ return asinh(genType(1) / x);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> acsch
+(
+ detail::tvec2<valType> const & x
+)
+{
+ return detail::tvec2<valType>(
+ acsch(x.x),
+ acsch(x.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> acsch
+(
+ detail::tvec3<valType> const & x
+)
+{
+ return detail::tvec3<valType>(
+ acsch(x.x),
+ acsch(x.y),
+ acsch(x.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> acsch
+(
+ detail::tvec4<valType> const & x
+)
+{
+ return detail::tvec4<valType>(
+ acsch(x.x),
+ acsch(x.y),
+ acsch(x.z),
+ acsch(x.w));
+}
+
+// acoth
+template <typename genType>
+GLM_FUNC_QUALIFIER genType acoth
+(
+ genType const & x
+)
+{
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acoth' only accept floating-point values");
+
+ return atanh(genType(1) / x);
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec2<valType> acoth
+(
+ detail::tvec2<valType> const & x
+)
+{
+ return detail::tvec2<valType>(
+ acoth(x.x),
+ acoth(x.y));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec3<valType> acoth
+(
+ detail::tvec3<valType> const & x
+)
+{
+ return detail::tvec3<valType>(
+ acoth(x.x),
+ acoth(x.y),
+ acoth(x.z));
+}
+
+template <typename valType>
+GLM_FUNC_QUALIFIER detail::tvec4<valType> acoth
+(
+ detail::tvec4<valType> const & x
+)
+{
+ return detail::tvec4<valType>(
+ acoth(x.x),
+ acoth(x.y),
+ acoth(x.z),
+ acoth(x.w));
+}
+
+}//namespace reciprocal
+}//namespace gtx
+}//namespace glm