wcslib (8.2.2)
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<a href="wcstrig_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">/*============================================================================</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment"> WCSLIB 8.2 - an implementation of the FITS WCS standard.</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> Copyright (C) 1995-2023, Mark Calabretta</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"></span> </div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"> This file is part of WCSLIB.</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment"></span> </div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment"> WCSLIB is free software: you can redistribute it and/or modify it under the</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment"> terms of the GNU Lesser General Public License as published by the Free</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment"> Software Foundation, either version 3 of the License, or (at your option)</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment"> any later version.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment"></span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment"> WCSLIB is distributed in the hope that it will be useful, but WITHOUT ANY</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment"> WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment"> FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment"> more details.</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment"></span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment"> You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment"> along with WCSLIB. If not, see http://www.gnu.org/licenses.</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment"></span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment"> Author: Mark Calabretta, Australia Telescope National Facility, CSIRO.</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment"> http://www.atnf.csiro.au/people/Mark.Calabretta</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment"> $Id: wcstrig.h,v 8.2.1.1 2023/11/16 10:05:57 mcalabre Exp mcalabre $</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment">*=============================================================================</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="comment">*</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="comment">* WCSLIB 8.2 - C routines that implement the FITS World Coordinate System</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="comment">* (WCS) standard. Refer to the README file provided with WCSLIB for an</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="comment">* overview of the library.</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">*</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment">*</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">* Summary of the wcstrig routines</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">* -------------------------------</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">* When dealing with celestial coordinate systems and spherical projections</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">* (some moreso than others) it is often desirable to use an angular measure</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="comment">* that provides an exact representation of the latitude of the north or south</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">* pole. The WCSLIB routines use the following trigonometric functions that</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="comment">* take or return angles in degrees:</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment">*</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">* - cosd()</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">* - sind()</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">* - tand()</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment">* - acosd()</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">* - asind()</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">* - atand()</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">* - atan2d()</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">* - sincosd()</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment">*</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment">* These "trigd" routines are expected to handle angles that are a multiple of</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment">* 90 degrees returning an exact result. Some C implementations provide these</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment">* as part of a system library and in such cases it may (or may not!) be</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">* preferable to use them. WCSLIB provides wrappers on the standard trig</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment">* functions based on radian measure, adding tests for multiples of 90 degrees.</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment">*</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment">* However, wcstrig.h also provides the choice of using preprocessor macro</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment">* implementations of the trigd functions that don't test for multiples of</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span><span class="comment">* 90 degrees (compile with -DWCSTRIG_MACRO). These are typically 20% faster</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span><span class="comment">* but may lead to problems near the poles.</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="comment">*</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="comment">*</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="comment">* cosd() - Cosine of an angle in degrees</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="comment">* --------------------------------------</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment">* cosd() returns the cosine of an angle given in degrees.</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment">*</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="comment">* angle double [deg].</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span><span class="comment">*</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span><span class="comment">* double Cosine of the angle.</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment">*</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment">*</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="comment">* sind() - Sine of an angle in degrees</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="comment">* ------------------------------------</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="comment">* sind() returns the sine of an angle given in degrees.</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="comment">*</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="comment">* angle double [deg].</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="comment">*</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="comment">* double Sine of the angle.</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span><span class="comment">*</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="comment">*</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="comment">* sincosd() - Sine and cosine of an angle in degrees</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span><span class="comment">* --------------------------------------------------</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="comment">* sincosd() returns the sine and cosine of an angle given in degrees.</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="comment">*</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span><span class="comment">* angle double [deg].</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span><span class="comment">*</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span><span class="comment">* Returned:</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span><span class="comment">* sin *double Sine of the angle.</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span><span class="comment">*</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="comment">* cos *double Cosine of the angle.</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span><span class="comment">*</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span><span class="comment">* void</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span><span class="comment">*</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span><span class="comment">*</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span><span class="comment">* tand() - Tangent of an angle in degrees</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span><span class="comment">* ---------------------------------------</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="comment">* tand() returns the tangent of an angle given in degrees.</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="comment">*</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="comment">* angle double [deg].</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span><span class="comment">*</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span><span class="comment">* double Tangent of the angle.</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span><span class="comment">*</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span><span class="comment">*</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span><span class="comment">* acosd() - Inverse cosine, returning angle in degrees</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span><span class="comment">* ----------------------------------------------------</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span><span class="comment">* acosd() returns the inverse cosine in degrees.</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span><span class="comment">*</span></div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span><span class="comment">* x double in the range [-1,1].</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span><span class="comment">*</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span><span class="comment">* double Inverse cosine of x [deg].</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="comment">*</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span><span class="comment">*</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="comment">* asind() - Inverse sine, returning angle in degrees</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="comment">* --------------------------------------------------</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span><span class="comment">* asind() returns the inverse sine in degrees.</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span><span class="comment">*</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="comment">* y double in the range [-1,1].</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span><span class="comment">*</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span><span class="comment">* double Inverse sine of y [deg].</span></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span><span class="comment">*</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span><span class="comment">*</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span><span class="comment">* atand() - Inverse tangent, returning angle in degrees</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="comment">* -----------------------------------------------------</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span><span class="comment">* atand() returns the inverse tangent in degrees.</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="comment">*</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span><span class="comment">* s double</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="comment">*</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span><span class="comment">* double Inverse tangent of s [deg].</span></div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span><span class="comment">*</span></div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="comment">*</span></div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span><span class="comment">* atan2d() - Polar angle of (x,y), in degrees</span></div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="comment">* -------------------------------------------</span></div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="comment">* atan2d() returns the polar angle, beta, in degrees, of polar coordinates</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="comment">* (rho,beta) corresponding to Cartesian coordinates (x,y). It is equivalent</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="comment">* to the arg(x,y) function of WCS Paper II, though with transposed arguments.</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span><span class="comment">*</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span><span class="comment">* Given:</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span><span class="comment">* y double Cartesian y-coordinate.</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span><span class="comment">*</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="comment">* x double Cartesian x-coordinate.</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="comment">*</span></div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="comment">* Function return value:</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span><span class="comment">* double Polar angle of (x,y) [deg].</span></div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span><span class="comment">*</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="comment">*===========================================================================*/</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span><span class="preprocessor">#ifndef WCSLIB_WCSTRIG</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span><span class="preprocessor">#define WCSLIB_WCSTRIG</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span><span class="preprocessor">#include <math.h></span></div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="preprocessor">#include "wcsconfig.h"</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span><span class="preprocessor">#ifdef HAVE_SINCOS</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="keywordtype">void</span> sincos(<span class="keywordtype">double</span> angle, <span class="keywordtype">double</span> *sin, <span class="keywordtype">double</span> *cos);</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span><span class="keyword">extern</span> <span class="stringliteral">"C"</span> {</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span><span class="preprocessor">#ifdef WCSTRIG_MACRO</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span><span class="comment">// Macro implementation of the trigd functions.</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span><span class="preprocessor">#include "<a class="code" href="wcsmath_8h.html">wcsmath.h</a>"</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span><span class="preprocessor">#define cosd(X) cos((X)*D2R)</span></div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span><span class="preprocessor">#define sind(X) sin((X)*D2R)</span></div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span><span class="preprocessor">#define tand(X) tan((X)*D2R)</span></div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span><span class="preprocessor">#define acosd(X) acos(X)*R2D</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span><span class="preprocessor">#define asind(X) asin(X)*R2D</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span><span class="preprocessor">#define atand(X) atan(X)*R2D</span></div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span><span class="preprocessor">#define atan2d(Y,X) atan2(Y,X)*R2D</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span><span class="preprocessor">#ifdef HAVE_SINCOS</span></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span><span class="preprocessor"> #define sincosd(X,S,C) sincos((X)*D2R,(S),(C))</span></div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span><span class="preprocessor"> #define sincosd(X,S,C) *(S) = sin((X)*D2R); *(C) = cos((X)*D2R);</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span><span class="comment">// Use WCSLIB wrappers or native trigd functions.</span></div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#a42ae26d339f06986ca7f12ba02abcd32"> 195</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="wcstrig_8h.html#a42ae26d339f06986ca7f12ba02abcd32">cosd</a>(<span class="keywordtype">double</span> angle);</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#a2b83ceb814c90ebfa042a26d884ac159"> 196</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="wcstrig_8h.html#a2b83ceb814c90ebfa042a26d884ac159">sind</a>(<span class="keywordtype">double</span> angle);</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#aee847369fa66666bfe1e72e7872499b6"> 197</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="wcstrig_8h.html#aee847369fa66666bfe1e72e7872499b6">sincosd</a>(<span class="keywordtype">double</span> angle, <span class="keywordtype">double</span> *sin, <span class="keywordtype">double</span> *cos);</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#a666bbac788099d5bc6d88e685f2713a3"> 198</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="wcstrig_8h.html#a666bbac788099d5bc6d88e685f2713a3">tand</a>(<span class="keywordtype">double</span> angle);</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#ab4e520246350c50275f899c9b97c68d3"> 199</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="wcstrig_8h.html#ab4e520246350c50275f899c9b97c68d3">acosd</a>(<span class="keywordtype">double</span> x);</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#a7a2ae59365f19adb4af90f4df3074e50"> 200</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="wcstrig_8h.html#a7a2ae59365f19adb4af90f4df3074e50">asind</a>(<span class="keywordtype">double</span> y);</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#a872bdab5707df527946ecbad24ee03ab"> 201</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="wcstrig_8h.html#a872bdab5707df527946ecbad24ee03ab">atand</a>(<span class="keywordtype">double</span> s);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#ad029e98723548c7236e805c7b48c7c90"> 202</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="wcstrig_8h.html#ad029e98723548c7236e805c7b48c7c90">atan2d</a>(<span class="keywordtype">double</span> y, <span class="keywordtype">double</span> x);</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span><span class="comment">// Domain tolerance for asin() and acos() functions.</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"><a class="line" href="wcstrig_8h.html#add1b8466211aa6885bed0619f32b35c7"> 205</a></span><span class="preprocessor">#define WCSTRIG_TOL 1e-10</span></div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span><span class="preprocessor">#endif </span><span class="comment">// WCSTRIG_MACRO</span></div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span><span class="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span>}</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span><span class="preprocessor">#endif </span><span class="comment">// WCSLIB_WCSTRIG</span></div>
<div class="ttc" id="awcsmath_8h_html"><div class="ttname"><a href="wcsmath_8h.html">wcsmath.h</a></div></div>
<div class="ttc" id="awcstrig_8h_html_a2b83ceb814c90ebfa042a26d884ac159"><div class="ttname"><a href="wcstrig_8h.html#a2b83ceb814c90ebfa042a26d884ac159">sind</a></div><div class="ttdeci">double sind(double angle)</div><div class="ttdoc">Sine of an angle in degrees.</div></div>
<div class="ttc" id="awcstrig_8h_html_a42ae26d339f06986ca7f12ba02abcd32"><div class="ttname"><a href="wcstrig_8h.html#a42ae26d339f06986ca7f12ba02abcd32">cosd</a></div><div class="ttdeci">double cosd(double angle)</div><div class="ttdoc">Cosine of an angle in degrees.</div></div>
<div class="ttc" id="awcstrig_8h_html_a666bbac788099d5bc6d88e685f2713a3"><div class="ttname"><a href="wcstrig_8h.html#a666bbac788099d5bc6d88e685f2713a3">tand</a></div><div class="ttdeci">double tand(double angle)</div><div class="ttdoc">Tangent of an angle in degrees.</div></div>
<div class="ttc" id="awcstrig_8h_html_a7a2ae59365f19adb4af90f4df3074e50"><div class="ttname"><a href="wcstrig_8h.html#a7a2ae59365f19adb4af90f4df3074e50">asind</a></div><div class="ttdeci">double asind(double y)</div><div class="ttdoc">Inverse sine, returning angle in degrees.</div></div>
<div class="ttc" id="awcstrig_8h_html_a872bdab5707df527946ecbad24ee03ab"><div class="ttname"><a href="wcstrig_8h.html#a872bdab5707df527946ecbad24ee03ab">atand</a></div><div class="ttdeci">double atand(double s)</div><div class="ttdoc">Inverse tangent, returning angle in degrees.</div></div>
<div class="ttc" id="awcstrig_8h_html_ab4e520246350c50275f899c9b97c68d3"><div class="ttname"><a href="wcstrig_8h.html#ab4e520246350c50275f899c9b97c68d3">acosd</a></div><div class="ttdeci">double acosd(double x)</div><div class="ttdoc">Inverse cosine, returning angle in degrees.</div></div>
<div class="ttc" id="awcstrig_8h_html_ad029e98723548c7236e805c7b48c7c90"><div class="ttname"><a href="wcstrig_8h.html#ad029e98723548c7236e805c7b48c7c90">atan2d</a></div><div class="ttdeci">double atan2d(double y, double x)</div><div class="ttdoc">Polar angle of , in degrees.</div></div>
<div class="ttc" id="awcstrig_8h_html_aee847369fa66666bfe1e72e7872499b6"><div class="ttname"><a href="wcstrig_8h.html#aee847369fa66666bfe1e72e7872499b6">sincosd</a></div><div class="ttdeci">void sincosd(double angle, double *sin, double *cos)</div><div class="ttdoc">Sine and cosine of an angle in degrees.</div></div>
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