1 /////////////////////////////////////////////////////////////////////////////////// 2 /// OpenGL Mathematics (glm.g-truc.net) 3 /// 4 /// Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net) 5 /// Permission is hereby granted, free of charge, to any person obtaining a copy 6 /// of this software and associated documentation files (the "Software"), to deal 7 /// in the Software without restriction, including without limitation the rights 8 /// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 /// copies of the Software, and to permit persons to whom the Software is 10 /// furnished to do so, subject to the following conditions: 11 /// 12 /// The above copyright notice and this permission notice shall be included in 13 /// all copies or substantial portions of the Software. 14 /// 15 /// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 /// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 /// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 /// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 /// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 /// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN 21 /// THE SOFTWARE. 22 /// 23 /// @ref gtc_reciprocal 24 /// @file glm/gtc/reciprocal.inl 25 /// @date 2008-10-09 / 2012-04-07 26 /// @author Christophe Riccio 27 /////////////////////////////////////////////////////////////////////////////////// 28 29 #include "../trigonometric.hpp" 30 #include <limits> 31 32 namespace glm 33 { 34 // sec 35 template <typename genType> 36 GLM_FUNC_QUALIFIER genType sec 37 ( 38 genType const & angle 39 ) 40 { 41 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'sec' only accept floating-point values"); 42 43 return genType(1) / glm::cos(angle); 44 } 45 46 VECTORIZE_VEC(sec) 47 48 // csc 49 template <typename genType> 50 GLM_FUNC_QUALIFIER genType csc 51 ( 52 genType const & angle 53 ) 54 { 55 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'csc' only accept floating-point values"); 56 57 return genType(1) / glm::sin(angle); 58 } 59 60 VECTORIZE_VEC(csc) 61 62 // cot 63 template <typename genType> 64 GLM_FUNC_QUALIFIER genType cot 65 ( 66 genType const & angle 67 ) 68 { 69 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'cot' only accept floating-point values"); 70 71 return genType(1) / glm::tan(angle); 72 } 73 74 VECTORIZE_VEC(cot) 75 76 // asec 77 template <typename genType> 78 GLM_FUNC_QUALIFIER genType asec 79 ( 80 genType const & x 81 ) 82 { 83 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'asec' only accept floating-point values"); 84 85 return acos(genType(1) / x); 86 } 87 88 VECTORIZE_VEC(asec) 89 90 // acsc 91 template <typename genType> 92 GLM_FUNC_QUALIFIER genType acsc 93 ( 94 genType const & x 95 ) 96 { 97 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acsc' only accept floating-point values"); 98 99 return asin(genType(1) / x); 100 } 101 102 VECTORIZE_VEC(acsc) 103 104 // acot 105 template <typename genType> 106 GLM_FUNC_QUALIFIER genType acot 107 ( 108 genType const & x 109 ) 110 { 111 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acot' only accept floating-point values"); 112 113 genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0); 114 return pi_over_2 - atan(x); 115 } 116 117 VECTORIZE_VEC(acot) 118 119 // sech 120 template <typename genType> 121 GLM_FUNC_QUALIFIER genType sech 122 ( 123 genType const & angle 124 ) 125 { 126 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'sech' only accept floating-point values"); 127 128 return genType(1) / glm::cosh(angle); 129 } 130 131 VECTORIZE_VEC(sech) 132 133 // csch 134 template <typename genType> 135 GLM_FUNC_QUALIFIER genType csch 136 ( 137 genType const & angle 138 ) 139 { 140 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'csch' only accept floating-point values"); 141 142 return genType(1) / glm::sinh(angle); 143 } 144 145 VECTORIZE_VEC(csch) 146 147 // coth 148 template <typename genType> 149 GLM_FUNC_QUALIFIER genType coth 150 ( 151 genType const & angle 152 ) 153 { 154 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'coth' only accept floating-point values"); 155 156 return glm::cosh(angle) / glm::sinh(angle); 157 } 158 159 VECTORIZE_VEC(coth) 160 161 // asech 162 template <typename genType> 163 GLM_FUNC_QUALIFIER genType asech 164 ( 165 genType const & x 166 ) 167 { 168 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'asech' only accept floating-point values"); 169 170 return acosh(genType(1) / x); 171 } 172 173 VECTORIZE_VEC(asech) 174 175 // acsch 176 template <typename genType> 177 GLM_FUNC_QUALIFIER genType acsch 178 ( 179 genType const & x 180 ) 181 { 182 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acsch' only accept floating-point values"); 183 184 return asinh(genType(1) / x); 185 } 186 187 VECTORIZE_VEC(acsch) 188 189 // acoth 190 template <typename genType> 191 GLM_FUNC_QUALIFIER genType acoth 192 ( 193 genType const & x 194 ) 195 { 196 GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acoth' only accept floating-point values"); 197 198 return atanh(genType(1) / x); 199 } 200 201 VECTORIZE_VEC(acoth) 202 }//namespace glm 203
