kopia lustrzana https://github.com/Dsplib/libdspl-2.0
127 wiersze
135 KiB
HTML
127 wiersze
135 KiB
HTML
<!-- HTML header for doxygen 1.8.13
|
||
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
||
<html xmlns="http://www.w3.org/1999/xhtml">
|
||
<head>
|
||
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
||
-->
|
||
<html>
|
||
<head>
|
||
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
|
||
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
||
<meta name="generator" content="Doxygen 1.8.15"/>
|
||
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
||
<title>libdspl-2.0: Исходный файл F:/dsplib.org/libdspl-2.0/dspl/src/ellipj.c</title>
|
||
<link href="tabs.css" rel="stylesheet" type="text/css"/>
|
||
<script type="text/javascript" src="jquery.js"></script>
|
||
<script type="text/javascript" src="dynsections.js"></script>
|
||
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css">
|
||
<meta name="viewport" content="width=device-width, initial-scale=1.0">
|
||
<link href="doxy_stylesheet.css" rel="stylesheet" type="text/css" />
|
||
<link href="http://dsplib.org/dsplib-stylesheet.css".css" rel="stylesheet" type="text/css">
|
||
</head>
|
||
<body>
|
||
<!-- Yandex.Metrika counter -->
|
||
<script type="text/javascript" >
|
||
(function (d, w, c) {
|
||
(w[c] = w[c] || []).push(function() {
|
||
try {
|
||
w.yaCounter32971694 = new Ya.Metrika({
|
||
id:32971694,
|
||
clickmap:true,
|
||
trackLinks:true,
|
||
accurateTrackBounce:true
|
||
});
|
||
} catch(e) { }
|
||
});
|
||
var n = d.getElementsByTagName("script")[0],
|
||
s = d.createElement("script"),
|
||
f = function () { n.parentNode.insertBefore(s, n); };
|
||
s.type = "text/javascript";
|
||
s.async = true;
|
||
s.src = "https://mc.yandex.ru/metrika/watch.js";
|
||
if (w.opera == "[object Opera]") {
|
||
d.addEventListener("DOMContentLoaded", f, false);
|
||
} else { f(); }
|
||
})(document, window, "yandex_metrika_callbacks");
|
||
</script>
|
||
<noscript><div><img src="https://mc.yandex.ru/watch/32971694" style="position:absolute; left:-9999px;" alt="" /></div></noscript>
|
||
<!-- /Yandex.Metrika counter -->
|
||
<div class = "header-bar">
|
||
<div class = "menu-bar">
|
||
<nav>
|
||
<ul>
|
||
<div class = "dsplib-logo"><img src="http://dsplib.org/logo.png" /> </div>
|
||
<li><a href="http://ru.dsplib.org">Содержание</a></li>
|
||
<li><a href="http://ru.dsplib.org/dspl">DSPL</a></li>
|
||
<li><a href="http://ru.dsplib.org/forum">Форум</a></li>
|
||
<li>
|
||
<div class="search-bar">
|
||
<div class="ya-site-form ya-site-form_inited_no" onclick="return {'action':'http://ru.dsplib.org/search_results.html','arrow':false,'bg':'transparent','fontsize':12,'fg':'#000000','language':'ru','logo':'rb','publicname':'ru.dsplib.org поиск','suggest':true,'target':'_self','tld':'ru','type':2,'usebigdictionary':true,'searchid':2332185,'input_fg':'#000000','input_bg':'#ffffff','input_fontStyle':'normal','input_fontWeight':'normal','input_placeholder':'поиск','input_placeholderColor':'#000000','input_borderColor':'#7f9db9'}"><form action="https://yandex.ru/search/site/" method="get" target="_self" accept-charset="utf-8"><input type="hidden" name="searchid" value="2332185"/><input type="hidden" name="l10n" value="ru"/><input type="hidden" name="reqenc" value=""/><input type="search" name="text" value="" style = "height: 24px; font-family: verdana,arial; font-size: 12px"/><input type="submit" value="Найти" style = "display: none;"/></form></div><style type="text/css">.ya-page_js_yes .ya-site-form_inited_no { display: none; }</style><script type="text/javascript">(function(w,d,c){var s=d.createElement('script'),h=d.getElementsByTagName('script')[0],e=d.documentElement;if((' '+e.className+' ').indexOf(' ya-page_js_yes ')===-1){e.className+=' ya-page_js_yes';}s.type='text/javascript';s.async=true;s.charset='utf-8';s.src=(d.location.protocol==='https:'?'https:':'http:')+'//site.yandex.net/v2.0/js/all.js';h.parentNode.insertBefore(s,h);(w[c]||(w[c]=[])).push(function(){Ya.Site.Form.init()})})(window,document,'yandex_site_callbacks');</script>
|
||
</div>
|
||
</li>
|
||
</ul>
|
||
</nav>
|
||
</div>
|
||
</div>
|
||
<div class="main-dsplib">
|
||
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
||
<div id="titlearea">
|
||
<table cellspacing="0" cellpadding="0">
|
||
<tbody>
|
||
<tr style="height: 56px;">
|
||
<td id="projectalign" style="padding-left: 0.5em;">
|
||
<div id="projectname">libdspl-2.0
|
||
</div>
|
||
<div id="projectbrief">Библиотека алгоритмов цифровой обработки сигналов</div>
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</div>
|
||
<!-- end header part -->
|
||
<!-- Создано системой Doxygen 1.8.15 -->
|
||
<div id="nav-path" class="navpath">
|
||
<ul>
|
||
<li class="navelem"><a class="el" href="dir_12d635cfd40a13a86dc83e7a5cc309f3.html">src</a></li> </ul>
|
||
</div>
|
||
</div><!-- top -->
|
||
<div class="header">
|
||
<div class="headertitle">
|
||
<div class="title">ellipj.c</div> </div>
|
||
</div><!--header-->
|
||
<div class="contents">
|
||
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">* Copyright (c) 2015-2019 Sergey Bakhurin</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">* Digital Signal Processing Library [http://dsplib.org]</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">*</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">* This file is part of DSPL.</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">*</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">* is free software: you can redistribute it and/or modify</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">* it under the terms of the GNU General Public License as published by</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">* the Free Software Foundation, either version 3 of the License, or</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">* (at your option) any later version.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">*</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">* DSPL is distributed in the hope that it will be useful,</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">* but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">* GNU General Public License for more details.</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">*</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">* You should have received a copy of the GNU General Public License</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">* along with Foobar. If not, see <http://www.gnu.org/licenses/>.</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">*/</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include <stdio.h></span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdlib.h></span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <string.h></span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <math.h></span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "dspl.h"</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> </div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">\fn int ellip_acd(double* w, int n, double k, double* u) </span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">\brief Inverse Jacobi elliptic function </span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">\f$ u = \textrm{cd}^{-1}(w, k)\f$ of real vector argument</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"></span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">Function calculates inverse Jacobi elliptic function </span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">\f$ u = \textrm{cd}^{-1}(w, k)\f$ of real vector `w`. \n</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">\param[in] w Pointer to the argument vector \f$ w \f$. \n</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> </span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">\param[in] n Size of vector `w`. \n </span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> </span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> </span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"></span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">\param[out] u Pointer to the vector of inverse Jacobi elliptic function</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> \f$ u = \textrm{cd}^{-1}(w, k)\f$. \n</span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"></span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"></span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment">\return</span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"></span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf345ef0ea154d7b42230c12bae270c01"> 60</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf345ef0ea154d7b42230c12bae270c01">ellip_acd</a>(<span class="keywordtype">double</span>* w, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <span class="keywordtype">double</span>* u)</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> {</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER], t;</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span>(!u || !w)</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  {</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  u[m] = w[m];</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">for</span>(i = 1; i < ELLIP_ITER; i++)</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  {</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  t = lnd[i-1]*u[m];</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  t *= t;</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  t = 1.0 + sqrt(1.0 - t);</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  u[m] = 2.0 * u[m] / (t+t*lnd[i]);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  }</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  u[m] = 2.0 * acos(u[m]) / M_PI;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  }</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> }</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> </div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment">\fn int ellip_acd_cmplx(complex_t* w, int n, double k, complex_t* u)</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment">\brief Inverse Jacobi elliptic function </span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment">\f$ u = \textrm{cd}^{-1}(w, k)\f$ of complex vector argument</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"></span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment">Function calculates inverse Jacobi elliptic function </span></div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment">\f$ u = \textrm{cd}^{-1}(w, k)\f$ of complex vector `w`. \n</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"></span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment">\param[in] w Pointer to the argument vector \f$ w \f$. \n</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"> </span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment">\param[in] n Size of vector `w`. \n </span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"> </span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> </span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"></span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment">\param[out] u Pointer to the vector of inverse Jacobi elliptic function</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> \f$ u = \textrm{cd}^{-1}(w, k)\f$. \n</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"></span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"></span></div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">\return</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"></span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga6110be348c9d6aaffe7464b4114e011a"> 125</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga6110be348c9d6aaffe7464b4114e011a">ellip_acd_cmplx</a>(<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* w, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* u)</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> {</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER], t;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a> tmp0, tmp1;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">if</span>(!u || !w)</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span> </div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  {</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(w[m]);</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(w[m]);</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">for</span>(i = 1; i < ELLIP_ITER; i++)</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  {</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) = lnd[i-1]*<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]);</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0) = lnd[i-1]*<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]);</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp1) = 1.0 - CMRE(tmp0, tmp0);</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp1) = - CMIM(tmp0, tmp0);</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___c_o_m_m_o_n___g_r_o_u_p.html#ga951b305891a92cad47f0b465a1df9fd5">sqrt_cmplx</a>(&tmp1, 1, &tmp0);</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) += 1.0;</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp1) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) * (1.0 + lnd[i]);</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp1) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0) * (1.0 + lnd[i]);</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  t = 2.0 / <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga770c27ca7e4fb6f017a57b638e8d45f7">ABSSQR</a>(tmp1);</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) = t * CMCONJRE(u[m], tmp1);</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0) = t * CMCONJIM(u[m], tmp1);</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0);</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0);</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga377b5d09f9be28370b6615cf93285957">acos_cmplx</a>(&tmp0, 1, u+m);</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  t = 2.0 / M_PI;</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) *= t;</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) *= t;</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  }</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span> }</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span> </div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment">\fn int ellip_asn(double* w, int n, double k, double* u) </span></div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment">\brief Inverse Jacobi elliptic function </span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="comment">\f$ u = \textrm{sn}^{-1}(w, k)\f$ of real vector argument</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment"></span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment">Function calculates inverse Jacobi elliptic function </span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment">\f$ u = \textrm{sn}^{-1}(w, k)\f$ of real vector `w`. \n</span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment"></span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment">\param[in] w Pointer to the argument vector \f$ w \f$. \n</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> </span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment">\param[in] n Size of vector `w`. \n </span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment"> </span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"> </span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment"></span></div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment">\param[out] u Pointer to the vector of inverse Jacobi elliptic function</span></div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment"> \f$ u = \textrm{sn}^{-1}(w, k)\f$. \n</span></div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment"></span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment"></span></div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment">\return</span></div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment"></span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga142cd3a45362a5e82fcf547ded77e3a4"> 210</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga142cd3a45362a5e82fcf547ded77e3a4">ellip_asn</a>(<span class="keywordtype">double</span>* w, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <span class="keywordtype">double</span>* u)</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span> {</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER], t;</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">if</span>(!u || !w)</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span> </div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span> </div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  {</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  u[m] = w[m];</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">for</span>(i = 1; i < ELLIP_ITER; i++)</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  {</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  t = lnd[i-1]*u[m];</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  t *= t;</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  t = 1.0 + sqrt(1.0 - t);</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  u[m] = 2.0 * u[m] / (t+t*lnd[i]);</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  }</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  u[m] = 2.0 * asin(u[m]) / M_PI;</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> }</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span> </div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment">\fn int ellip_asn_cmplx(complex_t* w, int n, double k, complex_t* u)</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment">\brief Inverse Jacobi elliptic function </span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="comment">\f$ u = \textrm{sn}^{-1}(w, k)\f$ of complex vector argument</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="comment"></span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="comment">Function calculates inverse Jacobi elliptic function </span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="comment">\f$ u = \textrm{sn}^{-1}(w, k)\f$ of complex vector `w`. \n</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="comment"></span></div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="comment">\param[in] w Pointer to the argument vector \f$ w \f$. \n</span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span> <span class="comment"> </span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="comment">\param[in] n Size of vector `w`. \n </span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="comment"> </span></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="comment"> </span></div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="comment"></span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="comment">\param[out] u Pointer to the vector of inverse Jacobi elliptic function</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment"> \f$ u = \textrm{sn}^{-1}(w, k)\f$. \n</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"></span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment"></span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment">\return</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="comment"></span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gadb4326ef932a576883f2692c15a3af1e"> 275</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gadb4326ef932a576883f2692c15a3af1e">ellip_asn_cmplx</a>(<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* w, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* u)</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span> {</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER], t;</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a> tmp0, tmp1;</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordflow">if</span>(!u || !w)</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span> </div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span> </div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span> </div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  {</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(w[m]);</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(w[m]);</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="keywordflow">for</span>(i = 1; i < ELLIP_ITER; i++)</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  {</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) = lnd[i-1]*<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]);</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0) = lnd[i-1]*<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]);</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp1) = 1.0 - CMRE(tmp0, tmp0);</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp1) = - CMIM(tmp0, tmp0);</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span> </div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___c_o_m_m_o_n___g_r_o_u_p.html#ga951b305891a92cad47f0b465a1df9fd5">sqrt_cmplx</a>(&tmp1, 1, &tmp0);</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) += 1.0;</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span> </div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp1) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) * (1.0 + lnd[i]);</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp1) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0) * (1.0 + lnd[i]);</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span> </div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  t = 2.0 / <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga770c27ca7e4fb6f017a57b638e8d45f7">ABSSQR</a>(tmp1);</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span> </div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0) = t * CMCONJRE(u[m], tmp1);</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0) = t * CMCONJIM(u[m], tmp1);</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span> </div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp0);</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp0);</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span> </div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  }</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga9e9ca62d62f8f4fa8c9876bdb7c1b59c">asin_cmplx</a>(&tmp0, 1, u+m);</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  t = 2.0 / M_PI;</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) *= t;</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) *= t;</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  }</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span> }</div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span> </div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span> </div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="comment">int ellip_cd(double* u, int n, double k, double* y)</span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="comment">\brief Jacobi elliptic function </span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="comment">\f$ y = \textrm{cd}(u K(k), k)\f$ of real vector argument</span></div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="comment"></span></div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="comment">Function calculates Jacobi elliptic function </span></div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="comment">\f$ y = \textrm{cd}(u K(k), k)\f$ of real vector `u` and</span></div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span> <span class="comment">elliptical modulus `k`. \n</span></div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="comment"></span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span> <span class="comment">\param[in] u Pointer to the argument vector \f$ u \f$. \n</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="comment"> </span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span> <span class="comment">\param[in] n Size of vector `u`. \n </span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span> <span class="comment"> </span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="comment"> </span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="comment"></span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="comment">\param[out] y Pointer to the vector of Jacobi elliptic function</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="comment"> \f$ y = \textrm{cd}(u K(k), k)\f$. \n</span></div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span> <span class="comment"></span></div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="comment"></span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="comment">\return</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="comment"></span></div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00360"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gac90d82bda67569e4b57b904f3e8fd75c"> 360</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gac90d82bda67569e4b57b904f3e8fd75c">ellip_cd</a>(<span class="keywordtype">double</span>* u, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <span class="keywordtype">double</span>* y)</div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span> {</div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER];</div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span> </div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">if</span>(!u || !y)</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span> </div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span> </div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span> </div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  {</div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  y[m] = cos(u[m] * M_PI * 0.5);</div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keywordflow">for</span>(i = ELLIP_ITER-1; i>0; i--)</div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  {</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  y[m] = (1.0 + lnd[i]) / (1.0 / y[m] + lnd[i]*y[m]);</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  }</div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  }</div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span> }</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span> </div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span> </div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span> </div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span> </div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span> </div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span> <span class="comment">int ellip_cd_cmplx(complex_t* u, int n, double k, complex_t* y)</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="comment">\brief Jacobi elliptic function </span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="comment">\f$ y = \textrm{cd}(u K(k), k)\f$ of complex vector argument</span></div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="comment"></span></div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="comment">Function calculates Jacobi elliptic function </span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment">\f$ y = \textrm{cd}(u K(k), k)\f$ of complex vector `u` and</span></div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="comment">elliptical modulus `k`. \n</span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="comment"></span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment">\param[in] u Pointer to the argument vector \f$ u \f$. \n</span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span> <span class="comment"> </span></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span> <span class="comment">\param[in] n Size of vector `u`. \n </span></div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span> <span class="comment"> </span></div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="comment"> </span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="comment"></span></div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="comment">\param[out] y Pointer to the vector of Jacobi elliptic function</span></div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span> <span class="comment"> \f$ y = \textrm{cd}(u K(k), k)\f$. \n</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="comment"></span></div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span> <span class="comment"></span></div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="comment">\return</span></div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment"></span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00424"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga030c798f0ddb4a511b43f935da3fe08d"> 424</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga030c798f0ddb4a511b43f935da3fe08d">ellip_cd_cmplx</a>(<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* u, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* y)</div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span> {</div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER], t;</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a> tmp;</div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keywordflow">if</span>(!u || !y)</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span> </div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span> </div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  {</div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) * M_PI * 0.5;</div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) * M_PI * 0.5;</div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span> </div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga33ba6948e7af445698e13ef52d1110b1">cos_cmplx</a>(&tmp, 1, y+m);</div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span> </div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="keywordflow">for</span>(i = ELLIP_ITER-1; i>0; i--)</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  {</div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  t = 1.0 / <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga770c27ca7e4fb6f017a57b638e8d45f7">ABSSQR</a>(y[m]);</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span> </div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(y[m]) * t + <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(y[m]) * lnd[i];</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp) = -<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(y[m]) * t + <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(y[m]) * lnd[i];</div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span> </div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  t = (1.0 + lnd[i]) / <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga770c27ca7e4fb6f017a57b638e8d45f7">ABSSQR</a>(tmp);</div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span> </div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(y[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp) * t;</div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(y[m]) = -<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp) * t;</div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span> </div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  }</div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  }</div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span> }</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span> </div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span> </div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span> </div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span> </div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span> </div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span> </div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="comment">\fn int ellip_landen(double k, int n, double* y)</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="comment">\brief Function calculates complete elliptical integral </span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span> <span class="comment">coefficients \f$ k_i \f$ </span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span> <span class="comment"></span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span> <span class="comment">Complete elliptical integral \f$ K(k) \f$ can be described as:</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span> <span class="comment"></span></div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span> <span class="comment">\f[</span></div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span> <span class="comment">K(k) = \frac{\pi}{2} \prod_{i = 1}^{\infty}(1+k_i),</span></div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span> <span class="comment">\f]</span></div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span> <span class="comment"></span></div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span> <span class="comment">here \f$ k_i \f$ -- coefficients which calculated </span></div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span> <span class="comment">iterative from \f$ k_0 = k\f$: </span></div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span> <span class="comment"></span></div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span> <span class="comment">\f[</span></div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span> <span class="comment">k_i = </span></div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span> <span class="comment">\left( </span></div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span> <span class="comment">\frac{k_{i-1}}</span></div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span> <span class="comment">{</span></div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span> <span class="comment">1+\sqrt{1-k_{i-1}^2}</span></div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span> <span class="comment">}</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span> <span class="comment">\right)^2</span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span> <span class="comment">\f]</span></div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span> <span class="comment"></span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span> <span class="comment">This function calculates `n` fist coefficients \f$ k_i \f$, which can</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span> <span class="comment">be used for Complete elliptical integral.</span></div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span> <span class="comment"> </span></div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span> <span class="comment"></span></div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span> <span class="comment"> which values can be from 0 to 1. \n \n</span></div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span> <span class="comment"></span></div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span> <span class="comment"> </span></div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span> <span class="comment">\param[in] n Number of \f$ k_i \f$ which need to calculate.\n </span></div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span> <span class="comment"> Parameter `n` is size of output vector `y`.\n </span></div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span> <span class="comment"></span></div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span> <span class="comment">\param[out] y pointer to the real vector which keep \f$ k_i \f$. \n</span></div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="comment"></span></div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="comment"></span></div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="comment">\return</span></div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span> <span class="comment"> `RES_OK` -- successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span> <span class="comment"> </span></div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="comment">Example:</span></div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span> <span class="comment"></span></div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span> <span class="comment">\include ellip_landen_test.c</span></div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span> <span class="comment"></span></div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span> <span class="comment">Result:</span></div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span> <span class="comment"></span></div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span> <span class="comment">\verbatim</span></div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span> <span class="comment"> i k[i]</span></div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span> <span class="comment"></span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span> <span class="comment"> 1 4.625e-01</span></div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span> <span class="comment"> 2 6.009e-02</span></div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span> <span class="comment"> 3 9.042e-04</span></div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span> <span class="comment"> 4 2.044e-07</span></div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span> <span class="comment"> 5 1.044e-14</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span> <span class="comment"> 6 2.727e-29</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="comment"> 7 1.859e-58</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span> <span class="comment"> 8 8.640e-117</span></div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span> <span class="comment"> 9 1.866e-233</span></div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span> <span class="comment">10 0.000e+00</span></div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span> <span class="comment">11 0.000e+00</span></div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span> <span class="comment">12 0.000e+00</span></div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span> <span class="comment">13 0.000e+00</span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span> <span class="comment">\endverbatim</span></div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span> <span class="comment"></span></div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span> <span class="comment">\note Complete elliptical integral converges enough fast</span></div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span> <span class="comment"> if modulus \f$ k<1 \f$. There are 10 to 20 coefficients \f$ k_i \f$ </span></div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span> <span class="comment"> are sufficient for practical applications</span></div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span> <span class="comment"> to ensure complete elliptic integral precision within EPS.</span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span> <span class="comment"></span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00545"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6"> 545</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(<span class="keywordtype">double</span> k, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span>* y)</div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span> {</div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="keywordtype">int</span> i;</div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  y[0] = k;</div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span> </div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <span class="keywordflow">if</span>(!y)</div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="keywordflow">if</span>(n < 1)</div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span> </div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="keywordflow">for</span>(i = 1; i < n; i++)</div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  {</div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  y[i] = y[i-1] / (1.0 + sqrt(1.0 - y[i-1] * y[i-1]));</div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  y[i] *= y[i];</div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  }</div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span> </div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span> }</div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span> </div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span> </div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span> </div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span> </div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span> </div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span> <span class="comment"> * Elliptic modular equation</span></div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span> <span class="keywordtype">int</span> DSPL_API ellip_modulareq(<span class="keywordtype">double</span> rp, <span class="keywordtype">double</span> rs, <span class="keywordtype">int</span> ord, <span class="keywordtype">double</span> *k)</div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span> {</div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="keywordtype">double</span> ep, es, ke, kp, t, sn = 0.0;</div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keywordtype">int</span> i, L, r;</div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span> </div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="keywordflow">if</span>(rp < 0 || rp == 0)</div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga93dffc900c697c2fc2b4c042ef3796c1">ERROR_FILTER_RP</a>;</div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  <span class="keywordflow">if</span>(rs < 0 || rs == 0)</div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga08e7dbd983321b7db53d221919b13ac0">ERROR_FILTER_RS</a>;</div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keywordflow">if</span>(ord < 1)</div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga58db6b22351df1bc37812216ce3b902f">ERROR_FILTER_ORD</a>;</div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  <span class="keywordflow">if</span>(!k)</div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span> </div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span> </div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  ep = sqrt(pow(10.0, rp*0.1)-1.0);</div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  es = sqrt(pow(10.0, rs*0.1)-1.0);</div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span> </div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  ke = ep/es;</div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span> </div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  ke = sqrt(1.0 - ke*ke);</div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span> </div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  r = ord % 2;</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  L = (ord-r)/2;</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span> </div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  kp = 1.0;</div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  <span class="keywordflow">for</span>(i = 0; i < L; i++)</div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  {</div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  t = (double)(2*i+1) / (double)ord;</div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gae9f8b103230a0c1d261ffa792a6f41ae">ellip_sn</a>(&t, 1, ke, &sn);</div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  sn*=sn;</div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  kp *= sn*sn;</div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  }</div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span> </div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  kp *= pow(ke, (<span class="keywordtype">double</span>)ord);</div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  *k = sqrt(1.0 - kp*kp);</div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span> </div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span> </div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span> }</div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span> </div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span> </div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span> </div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span> <span class="comment"> * Elliptic rational function</span></div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span> <span class="keywordtype">int</span> DSPL_API ellip_rat(<span class="keywordtype">double</span>* w, <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> ord, <span class="keywordtype">double</span> k, <span class="keywordtype">double</span>* u)</div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span> {</div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="keywordtype">double</span> t, xi, w2, xi2, k2;</div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keywordtype">int</span> i, m, r, L;</div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span> </div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="keywordflow">if</span>(!u || !w)</div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span> </div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  r = ord%2;</div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  L = (ord-r)/2;</div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span> </div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  <span class="keywordflow">if</span>(r)</div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  memcpy(u, w, n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="keywordflow">else</span></div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  {</div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  {</div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  u[m] = 1.0;</div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  }</div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  }</div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span> </div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  k2 = k*k;</div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="keywordflow">for</span>(i = 0; i < L; i++)</div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  {</div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  t = (double)(2*i+1) / (double)ord;</div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gac90d82bda67569e4b57b904f3e8fd75c">ellip_cd</a>(&t, 1, k, &xi);</div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  xi2 = xi*xi;</div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  {</div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  w2 = w[m]*w[m];</div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  u[m] *= (w2 - xi2) / (1.0 - w2 * k2 * xi2);</div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  u[m] *= (1.0 - k2*xi2) / (1.0 - xi2);</div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  }</div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  }</div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span> }</div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span> </div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span> </div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span> </div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span> </div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span> </div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span> </div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span> <span class="comment">int ellip_sn(double* u, int n, double k, double* y)</span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span> <span class="comment">\brief Jacobi elliptic function </span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span> <span class="comment">\f$ y = \textrm{sn}(u K(k), k)\f$ of real vector argument</span></div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span> <span class="comment"></span></div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span> <span class="comment">Function calculates Jacobi elliptic function </span></div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span> <span class="comment">\f$ y = \textrm{sn}(u K(k), k)\f$ of real vector `u` and</span></div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span> <span class="comment">elliptical modulus `k`. \n</span></div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span> <span class="comment"></span></div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span> <span class="comment">\param[in] u Pointer to the argument vector \f$ u \f$. \n</span></div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span> <span class="comment"> </span></div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span> <span class="comment">\param[in] n Size of vector `u`. \n </span></div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span> <span class="comment"> </span></div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span> <span class="comment"> </span></div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span> <span class="comment"></span></div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span> <span class="comment">\param[out] y Pointer to the vector of Jacobi elliptic function</span></div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span> <span class="comment"> \f$ y = \textrm{sn}(u K(k), k)\f$. \n</span></div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span> <span class="comment"></span></div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span> <span class="comment"></span></div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span> <span class="comment">\return</span></div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span> <span class="comment"></span></div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00697"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gae9f8b103230a0c1d261ffa792a6f41ae"> 697</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gae9f8b103230a0c1d261ffa792a6f41ae">ellip_sn</a>(<span class="keywordtype">double</span>* u, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <span class="keywordtype">double</span>* y)</div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span> {</div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER];</div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span> </div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="keywordflow">if</span>(!u || !y)</div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span> </div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span> </div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span> </div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  {</div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  y[m] = sin(u[m] * M_PI * 0.5);</div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  <span class="keywordflow">for</span>(i = ELLIP_ITER-1; i>0; i--)</div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  {</div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  y[m] = (1.0 + lnd[i]) / (1.0 / y[m] + lnd[i]*y[m]);</div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  }</div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  }</div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span> }</div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span> </div><div class="line"><a name="l00723"></a><span class="lineno"> 723</span> </div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span> </div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span> </div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span> <span class="comment">/*****************************************************************************</span></div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span> <span class="comment">\ingroup SPEC_MATH_ELLIP_GROUP</span></div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span> <span class="comment">int ellip_sn_cmplx(complex_t* u, int n, double k, complex_t* y)</span></div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span> <span class="comment">\brief Jacobi elliptic function </span></div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span> <span class="comment">\f$ y = \textrm{sn}(u K(k), k)\f$ of complex vector argument</span></div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span> <span class="comment"></span></div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span> <span class="comment">Function calculates Jacobi elliptic function </span></div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span> <span class="comment">\f$ y = \textrm{sn}(u K(k), k)\f$ of complex vector `u` and</span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span> <span class="comment">elliptical modulus `k`. \n</span></div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span> <span class="comment"></span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span> <span class="comment">\param[in] u Pointer to the argument vector \f$ u \f$. \n</span></div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span> <span class="comment"> </span></div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span> <span class="comment">\param[in] n Size of vector `u`. \n </span></div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span> <span class="comment"> </span></div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span> <span class="comment">\param[in] k Elliptical modulus \f$ k \f$. \n</span></div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span> <span class="comment"> Elliptical modulus is real parameter,</span></div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span> <span class="comment"> which values can be from 0 to 1. \n \n </span></div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span> <span class="comment"> </span></div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span> <span class="comment"></span></div><div class="line"><a name="l00747"></a><span class="lineno"> 747</span> <span class="comment">\param[out] y Pointer to the vector of Jacobi elliptic function</span></div><div class="line"><a name="l00748"></a><span class="lineno"> 748</span> <span class="comment"> \f$ y = \textrm{sn}(u K(k), k)\f$. \n</span></div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span> <span class="comment"> Vector size is `[n x 1]`. \n</span></div><div class="line"><a name="l00750"></a><span class="lineno"> 750</span> <span class="comment"> Memory must be allocated. \n \n</span></div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span> <span class="comment"></span></div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span> <span class="comment"></span></div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span> <span class="comment">\return</span></div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span> <span class="comment">`RES_OK` successful exit, else \ref ERROR_CODE_GROUP "error code". \n</span></div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span> <span class="comment"></span></div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span> <span class="comment">\author Sergey Bakhurin www.dsplib.org </span></div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span> <span class="comment"> ******************************************************************************/</span></div><div class="line"><a name="l00758"></a><span class="lineno"><a class="line" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga02b85a145338ba49e351ae93ccb1b689"> 758</a></span> <span class="keywordtype">int</span> DSPL_API <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga02b85a145338ba49e351ae93ccb1b689">ellip_sn_cmplx</a>(<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* u, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> k, <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a>* y)</div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span> {</div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  <span class="keywordtype">double</span> lnd[ELLIP_ITER], t;</div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <span class="keywordtype">int</span> i, m;</div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a> tmp;</div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span> </div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="keywordflow">if</span>(!u || !y)</div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a>;</div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  <span class="keywordflow">if</span>(n<1)</div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a>;</div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  <span class="keywordflow">if</span>(k < 0.0 || k>= 1.0)</div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  <span class="keywordflow">return</span> ERROR_ELLIP_MODULE;</div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span> </div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a>(k,ELLIP_ITER, lnd);</div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span> </div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span> </div><div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  <span class="keywordflow">for</span>(m = 0; m < n; m++)</div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  {</div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(u[m]) * M_PI * 0.5;</div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(u[m]) * M_PI * 0.5;</div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span> </div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  <a class="code" href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga514268fdfc9d33f89c6d0c6bfdbc5488">sin_cmplx</a>(&tmp, 1, y+m);</div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span> </div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  <span class="keywordflow">for</span>(i = ELLIP_ITER-1; i>0; i--)</div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  {</div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  t = 1.0 / <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga770c27ca7e4fb6f017a57b638e8d45f7">ABSSQR</a>(y[m]);</div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span> </div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(y[m]) * t + <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(y[m]) * lnd[i];</div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp) = -<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(y[m]) * t + <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(y[m]) * lnd[i];</div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span> </div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  t = (1.0 + lnd[i]) / <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga770c27ca7e4fb6f017a57b638e8d45f7">ABSSQR</a>(tmp);</div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span> </div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(y[m]) = <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a>(tmp) * t;</div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(y[m]) = -<a class="code" href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a>(tmp) * t;</div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span> </div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  }</div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  }</div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <span class="keywordflow">return</span> <a class="code" href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a>;</div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span> }</div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span> </div><div class="ttc" id="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p_html_ga75a729cde9582beeb20e77f18407f426"><div class="ttname"><a href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga75a729cde9582beeb20e77f18407f426">ERROR_SIZE</a></div><div class="ttdeci">#define ERROR_SIZE</div><div class="ttdoc">Ошибка при передаче размера массива. Данная ошибка возникает когда помимо указателя на массив входных...</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00148">dspl.h:148</a></div></div>
|
||
<div class="ttc" id="group___t_y_p_e_s___g_r_o_u_p_html_gaacff82c46e2eef9207670a2e52ed4b89"><div class="ttname"><a href="group___t_y_p_e_s___g_r_o_u_p.html#gaacff82c46e2eef9207670a2e52ed4b89">complex_t</a></div><div class="ttdeci">double complex_t[2]</div><div class="ttdoc">Описание комплексного типа данных.</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00041">dspl.h:41</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_gaf0b3f534bad7b93d90eb8a9b493cddc6"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf0b3f534bad7b93d90eb8a9b493cddc6">ellip_landen</a></div><div class="ttdeci">int ellip_landen(double k, int n, double *y)</div><div class="ttdoc">Расчет коэффициентов ряда полного эллиптического интеграла.</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00545">ellipj.c:545</a></div></div>
|
||
<div class="ttc" id="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p_html_ga477d967805466948edb85d57c95532a3"><div class="ttname"><a href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga477d967805466948edb85d57c95532a3">ERROR_PTR</a></div><div class="ttdeci">#define ERROR_PTR</div><div class="ttdoc">Ошибка указателя. Данная ошибка означает, что один из обязательных указателей (память под который дол...</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00140">dspl.h:140</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_gaf345ef0ea154d7b42230c12bae270c01"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gaf345ef0ea154d7b42230c12bae270c01">ellip_acd</a></div><div class="ttdeci">int ellip_acd(double *w, int n, double k, double *u)</div><div class="ttdoc">Обратная эллиптическая функция Якоби вещественного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00060">ellipj.c:60</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_ga142cd3a45362a5e82fcf547ded77e3a4"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga142cd3a45362a5e82fcf547ded77e3a4">ellip_asn</a></div><div class="ttdeci">int ellip_asn(double *w, int n, double k, double *u)</div><div class="ttdoc">Обратная эллиптическая функция Якоби вещественного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00210">ellipj.c:210</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p_html_ga514268fdfc9d33f89c6d0c6bfdbc5488"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga514268fdfc9d33f89c6d0c6bfdbc5488">sin_cmplx</a></div><div class="ttdeci">int sin_cmplx(complex_t *x, int n, complex_t *y)</div><div class="ttdoc">Синус комплексного аргумента x</div><div class="ttdef"><b>Definition:</b> <a href="complex_8c_source.html#l00513">complex.c:513</a></div></div>
|
||
<div class="ttc" id="group___t_y_p_e_s___g_r_o_u_p_html_gab52656a2ffb9da83eb2b959b3c955235"><div class="ttname"><a href="group___t_y_p_e_s___g_r_o_u_p.html#gab52656a2ffb9da83eb2b959b3c955235">IM</a></div><div class="ttdeci">#define IM(x)</div><div class="ttdoc">Макрос определяющий мнимую часть комплексного числа.</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00078">dspl.h:78</a></div></div>
|
||
<div class="ttc" id="group___t_y_p_e_s___g_r_o_u_p_html_ga770c27ca7e4fb6f017a57b638e8d45f7"><div class="ttname"><a href="group___t_y_p_e_s___g_r_o_u_p.html#ga770c27ca7e4fb6f017a57b638e8d45f7">ABSSQR</a></div><div class="ttdeci">#define ABSSQR(x)</div><div class="ttdoc">Макрос возвращает квадрат модуля комплексного числа x.</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00082">dspl.h:82</a></div></div>
|
||
<div class="ttc" id="group___t_y_p_e_s___g_r_o_u_p_html_ga4ad411d49d4ec45752869ddaeac54653"><div class="ttname"><a href="group___t_y_p_e_s___g_r_o_u_p.html#ga4ad411d49d4ec45752869ddaeac54653">RE</a></div><div class="ttdeci">#define RE(x)</div><div class="ttdoc">Макрос определяющий реальную часть комплексного числа.</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00077">dspl.h:77</a></div></div>
|
||
<div class="ttc" id="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p_html_ga58db6b22351df1bc37812216ce3b902f"><div class="ttname"><a href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga58db6b22351df1bc37812216ce3b902f">ERROR_FILTER_ORD</a></div><div class="ttdeci">#define ERROR_FILTER_ORD</div><div class="ttdoc">Порядок фильтра задан неверно. Порядок фильтра должен быть задан положительным целым значением.</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00111">dspl.h:111</a></div></div>
|
||
<div class="ttc" id="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p_html_ga08e7dbd983321b7db53d221919b13ac0"><div class="ttname"><a href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga08e7dbd983321b7db53d221919b13ac0">ERROR_FILTER_RS</a></div><div class="ttdeci">#define ERROR_FILTER_RS</div><div class="ttdoc">Параметр подавления фильтра в полосе заграждения задан неверно. Данный параметр задается в дБ и долже...</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00114">dspl.h:114</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_ga030c798f0ddb4a511b43f935da3fe08d"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga030c798f0ddb4a511b43f935da3fe08d">ellip_cd_cmplx</a></div><div class="ttdeci">int ellip_cd_cmplx(complex_t *u, int n, double k, complex_t *y)</div><div class="ttdoc">Эллиптическая функция Якоби комплексного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00424">ellipj.c:424</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___c_o_m_m_o_n___g_r_o_u_p_html_ga951b305891a92cad47f0b465a1df9fd5"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___c_o_m_m_o_n___g_r_o_u_p.html#ga951b305891a92cad47f0b465a1df9fd5">sqrt_cmplx</a></div><div class="ttdeci">int sqrt_cmplx(complex_t *x, int n, complex_t *y)</div><div class="ttdoc">Квадратный корень из комплексного вектора x (поэлементный).</div><div class="ttdef"><b>Definition:</b> <a href="complex_8c_source.html#l00588">complex.c:588</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_gac90d82bda67569e4b57b904f3e8fd75c"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gac90d82bda67569e4b57b904f3e8fd75c">ellip_cd</a></div><div class="ttdeci">int ellip_cd(double *u, int n, double k, double *y)</div><div class="ttdoc">Эллиптическая функция Якоби вещественного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00360">ellipj.c:360</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_gae9f8b103230a0c1d261ffa792a6f41ae"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gae9f8b103230a0c1d261ffa792a6f41ae">ellip_sn</a></div><div class="ttdeci">int ellip_sn(double *u, int n, double k, double *y)</div><div class="ttdoc">Эллиптическая функция Якоби вещественного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00697">ellipj.c:697</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_ga6110be348c9d6aaffe7464b4114e011a"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga6110be348c9d6aaffe7464b4114e011a">ellip_acd_cmplx</a></div><div class="ttdeci">int ellip_acd_cmplx(complex_t *w, int n, double k, complex_t *u)</div><div class="ttdoc">Обратная эллиптическая функция Якоби комплексного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00125">ellipj.c:125</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p_html_ga33ba6948e7af445698e13ef52d1110b1"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga33ba6948e7af445698e13ef52d1110b1">cos_cmplx</a></div><div class="ttdeci">int cos_cmplx(complex_t *x, int n, complex_t *y)</div><div class="ttdoc">Косинус комплексного аргумента x</div><div class="ttdef"><b>Definition:</b> <a href="complex_8c_source.html#l00299">complex.c:299</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p_html_ga377b5d09f9be28370b6615cf93285957"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga377b5d09f9be28370b6615cf93285957">acos_cmplx</a></div><div class="ttdeci">int acos_cmplx(complex_t *x, int n, complex_t *y)</div><div class="ttdoc">Арккосинус комплексного аргумента x</div><div class="ttdef"><b>Definition:</b> <a href="complex_8c_source.html#l00080">complex.c:80</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_gadb4326ef932a576883f2692c15a3af1e"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#gadb4326ef932a576883f2692c15a3af1e">ellip_asn_cmplx</a></div><div class="ttdeci">int ellip_asn_cmplx(complex_t *w, int n, double k, complex_t *u)</div><div class="ttdoc">Обратная эллиптическая функция Якоби комплексного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00275">ellipj.c:275</a></div></div>
|
||
<div class="ttc" id="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p_html_ga93dffc900c697c2fc2b4c042ef3796c1"><div class="ttname"><a href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga93dffc900c697c2fc2b4c042ef3796c1">ERROR_FILTER_RP</a></div><div class="ttdeci">#define ERROR_FILTER_RP</div><div class="ttdoc">Параметр неравномерности фильтра в полосе пропускания задан неверно. Данный параметр задается в дБ и ...</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00113">dspl.h:113</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p_html_ga02b85a145338ba49e351ae93ccb1b689"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___e_l_l_i_p___g_r_o_u_p.html#ga02b85a145338ba49e351ae93ccb1b689">ellip_sn_cmplx</a></div><div class="ttdeci">int ellip_sn_cmplx(complex_t *u, int n, double k, complex_t *y)</div><div class="ttdoc">Эллиптическая функция Якоби комплексного аргумента</div><div class="ttdef"><b>Definition:</b> <a href="ellipj_8c_source.html#l00758">ellipj.c:758</a></div></div>
|
||
<div class="ttc" id="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p_html_ga9e9ca62d62f8f4fa8c9876bdb7c1b59c"><div class="ttname"><a href="group___s_p_e_c___m_a_t_h___t_r_i_g___g_r_o_u_p.html#ga9e9ca62d62f8f4fa8c9876bdb7c1b59c">asin_cmplx</a></div><div class="ttdeci">int asin_cmplx(complex_t *x, int n, complex_t *y)</div><div class="ttdoc">Арксинус комплексного аргумента x</div><div class="ttdef"><b>Definition:</b> <a href="complex_8c_source.html#l00151">complex.c:151</a></div></div>
|
||
<div class="ttc" id="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p_html_ga312c04ce416e0afdbd653394e36a117d"><div class="ttname"><a href="group___e_r_r_o_r___c_o_d_e___g_r_o_u_p.html#ga312c04ce416e0afdbd653394e36a117d">RES_OK</a></div><div class="ttdeci">#define RES_OK</div><div class="ttdoc">Функция завершилась корректно. Ошибки отсутствуют.</div><div class="ttdef"><b>Definition:</b> <a href="dspl_8h_source.html#l00094">dspl.h:94</a></div></div>
|
||
</div><!-- fragment --></div><!-- contents -->
|
||
<!-- HTML footer for doxygen 1.8.13-->
|
||
<!-- start footer part -->
|
||
<hr class="footer"/><address class="footer"><small>
|
||
Документация по libdspl-2.0. Последние изменения: Пн 4 Ноя 2019 16:56:51. Создано системой  <a href="http://www.doxygen.org/index.html">
|
||
<img class="footer" src="doxygen.png" alt="doxygen"/>
|
||
</a> 1.8.15
|
||
</small></address>
|
||
</div>
|
||
</body>
|
||
</html> |