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      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
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      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
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     21 /// THE SOFTWARE.
     22 ///
     23 /// @ref gtx_constants
     24 /// @file glm/gtx/constants.inl
     25 /// @date 2011-10-14 / 2012-01-25
     26 /// @author Christophe Riccio
     27 ///////////////////////////////////////////////////////////////////////////////////
     28 
     29 #include <limits>
     30 
     31 namespace glm
     32 {
     33 	template <typename genType>
     34 	GLM_FUNC_QUALIFIER genType epsilon()
     35 	{
     36 		return std::numeric_limits<genType>::epsilon();
     37 	}
     38 
     39 	template <typename genType>
     40 	GLM_FUNC_QUALIFIER genType zero()
     41 	{
     42 		return genType(0);
     43 	}
     44 
     45 	template <typename genType>
     46 	GLM_FUNC_QUALIFIER genType one()
     47 	{
     48 		return genType(1);
     49 	}
     50 
     51 	template <typename genType>
     52 	GLM_FUNC_QUALIFIER genType pi()
     53 	{
     54 		return genType(3.14159265358979323846264338327950288);
     55 	}
     56 
     57 	template <typename genType>
     58 	GLM_FUNC_QUALIFIER genType root_pi()
     59 	{
     60 		return genType(1.772453850905516027);
     61 	}
     62 
     63 	template <typename genType>
     64 	GLM_FUNC_QUALIFIER genType half_pi()
     65 	{
     66 		return genType(1.57079632679489661923132169163975144);
     67 	}
     68 
     69 	template <typename genType>
     70 	GLM_FUNC_QUALIFIER genType quarter_pi()
     71 	{
     72 		return genType(0.785398163397448309615660845819875721);
     73 	}
     74 
     75 	template <typename genType>
     76 	GLM_FUNC_QUALIFIER genType one_over_pi()
     77 	{
     78 		return genType(0.318309886183790671537767526745028724);
     79 	}
     80 
     81 	template <typename genType>
     82 	GLM_FUNC_QUALIFIER genType two_over_pi()
     83 	{
     84 		return genType(0.636619772367581343075535053490057448);
     85 	}
     86 
     87 	template <typename genType>
     88 	GLM_FUNC_QUALIFIER genType two_over_root_pi()
     89 	{
     90 		return genType(1.12837916709551257389615890312154517);
     91 	}
     92 
     93 	template <typename genType>
     94 	GLM_FUNC_QUALIFIER genType one_over_root_two()
     95 	{
     96 		return genType(0.707106781186547524400844362104849039);
     97 	}
     98 
     99 	template <typename genType>
    100 	GLM_FUNC_QUALIFIER genType root_half_pi()
    101 	{
    102 		return genType(1.253314137315500251);
    103 	}
    104 
    105 	template <typename genType>
    106 	GLM_FUNC_QUALIFIER genType root_two_pi()
    107 	{
    108 		return genType(2.506628274631000502);
    109 	}
    110 
    111 	template <typename genType>
    112 	GLM_FUNC_QUALIFIER genType root_ln_four()
    113 	{
    114 		return genType(1.17741002251547469);
    115 	}
    116 
    117 	template <typename genType>
    118 	GLM_FUNC_QUALIFIER genType e()
    119 	{
    120 		return genType(2.71828182845904523536);
    121 	}
    122 
    123 	template <typename genType>
    124 	GLM_FUNC_QUALIFIER genType euler()
    125 	{
    126 		return genType(0.577215664901532860606);
    127 	}
    128 
    129 	template <typename genType>
    130 	GLM_FUNC_QUALIFIER genType root_two()
    131 	{
    132 		return genType(1.41421356237309504880168872420969808);
    133 	}
    134 
    135 	template <typename genType>
    136 	GLM_FUNC_QUALIFIER genType root_three()
    137 	{
    138 		return genType(1.73205080756887729352744634150587236);
    139 	}
    140 
    141 	template <typename genType>
    142 	GLM_FUNC_QUALIFIER genType root_five()
    143 	{
    144 		return genType(2.23606797749978969640917366873127623);
    145 	}
    146 
    147 	template <typename genType>
    148 	GLM_FUNC_QUALIFIER genType ln_two()
    149 	{
    150 		return genType(0.693147180559945309417232121458176568);
    151 	}
    152 
    153 	template <typename genType>
    154 	GLM_FUNC_QUALIFIER genType ln_ten()
    155 	{
    156 		return genType(2.30258509299404568401799145468436421);
    157 	}
    158 
    159 	template <typename genType>
    160 	GLM_FUNC_QUALIFIER genType ln_ln_two()
    161 	{
    162 		return genType(-0.3665129205816643);
    163 	}
    164 
    165 	template <typename genType>
    166 	GLM_FUNC_QUALIFIER genType third()
    167 	{
    168 		return genType(0.3333333333333333333333333333333333333333);
    169 	}
    170 
    171 	template <typename genType>
    172 	GLM_FUNC_QUALIFIER genType two_thirds()
    173 	{
    174 		return genType(0.666666666666666666666666666666666666667);
    175 	}
    176 
    177 	template <typename genType>
    178 	GLM_FUNC_QUALIFIER genType golden_ratio()
    179 	{
    180 		return genType(1.61803398874989484820458683436563811);
    181 	}
    182 } //namespace glm
    183