qwt__math_8h_source.html
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* -*- mode: C++ ; c-file-style: "stroustrup" -*- *****************************</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Qwt Widget Library</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * Copyright (C) 1997 Josef Wilgen</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Copyright (C) 2002 Uwe Rathmann</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * This library is free software; you can redistribute it and/or</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * modify it under the terms of the Qwt License, Version 1.0</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *****************************************************************************/</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef QWT_MATH_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define QWT_MATH_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include "qwt_global.h"</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor"></span><span class="comment">/*</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> Microsoft says:</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"></span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> Define _USE_MATH_DEFINES before including math.h to expose these macro</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> definitions for common math constants. These are placed under an #ifdef</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> since these commonly-defined names are not part of the C/C++ standards.</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#define _USE_MATH_DEFINES 1</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <qmath.h></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "qwt_global.h"</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="preprocessor">#ifndef LOG_MIN</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#define LOG_MIN 1.0e-100</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#ifndef LOG_MAX</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#define LOG_MAX 1.0e100</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> QWT_EXPORT <span class="keywordtype">double</span> qwtGetMin( <span class="keyword">const</span> <span class="keywordtype">double</span> *array, <span class="keywordtype">int</span> size );</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> QWT_EXPORT <span class="keywordtype">double</span> qwtGetMax( <span class="keyword">const</span> <span class="keywordtype">double</span> *array, <span class="keywordtype">int</span> size );</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> QWT_EXPORT <span class="keywordtype">double</span> qwtNormalizeRadians( <span class="keywordtype">double</span> radians );</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> QWT_EXPORT <span class="keywordtype">double</span> qwtNormalizeDegrees( <span class="keywordtype">double</span> degrees );</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> qwtFuzzyCompare( <span class="keywordtype">double</span> value1, <span class="keywordtype">double</span> value2, <span class="keywordtype">double</span> intervalSize )</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> eps = qAbs( 1.0e-6 * intervalSize );</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span> ( value2 - value1 > eps )</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">if</span> ( value1 - value2 > eps )</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> }</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> qwtFuzzyGreaterOrEqual( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2 )</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> {</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">return</span> ( d1 >= d2 ) || qFuzzyCompare( d1, d2 );</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> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> qwtFuzzyLessOrEqual( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2 )</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> {</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> ( d1 <= d2 ) || qFuzzyCompare( d1, d2 );</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> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> qwtSign( <span class="keywordtype">double</span> x )</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span> ( x > 0.0 )</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( x < 0.0 )</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">return</span> ( -1 );</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">return</span> 0;</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="l00093"></a><span class="lineno"> 93</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> qwtSqr( <span class="keywordtype">double</span> x )</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">return</span> x * x;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> }</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> qwtFastAtan( <span class="keywordtype">double</span> x )</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> {</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">if</span> ( x < -1.0 )</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">return</span> -M_PI_2 - x / ( x * x + 0.28 );</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">if</span> ( x > 1.0 )</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">return</span> M_PI_2 - x / ( x * x + 0.28 );</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> x / ( 1.0 + x * x * 0.28 );</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> qwtFastAtan2( <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> x )</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> {</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> ( x > 0 )</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">return</span> qwtFastAtan( y / x );</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">if</span> ( x < 0 )</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> d = qwtFastAtan( y / x );</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> ( y >= 0 ) ? d + M_PI : d - M_PI;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">if</span> ( y < 0.0 )</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">return</span> -M_PI_2;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">if</span> ( y > 0.0 )</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">return</span> M_PI_2;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">return</span> 0.0;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> }</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="comment">// Translate degrees into radians</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> qwtRadians( <span class="keywordtype">double</span> degrees )</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> {</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">return</span> degrees * M_PI / 180.0;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> }</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// Translate radians into degrees</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> qwtDegrees( <span class="keywordtype">double</span> degrees )</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>  <span class="keywordflow">return</span> degrees * 180.0 / M_PI;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> }</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> <span class="preprocessor">#endif</span></div>
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