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  29.    &#160;<span id="projectnumber">6.1.6</span>
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    86. 

  86. <div class="title">qwt_math.h</div>  </div>
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    88. 

  88. <div class="contents">
    89. 

  89. <div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* -*- mode: C++ ; c-file-style: &quot;stroustrup&quot; -*- *****************************</span></div>
    90. 

  90. <div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Qwt Widget Library</span></div>
    91. 

  91. <div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * Copyright (C) 1997   Josef Wilgen</span></div>
    92. 

  92. <div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * Copyright (C) 2002   Uwe Rathmann</span></div>
    93. 

  93. <div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *</span></div>
    94. 

  94. <div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * This library is free software; you can redistribute it and/or</span></div>
    95. 

  95. <div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * modify it under the terms of the Qwt License, Version 1.0</span></div>
    96. 

  96. <div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *****************************************************************************/</span></div>
    97. 

  97. <div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
    98. 

  98. <div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef QWT_MATH_H</span></div>
    99. 

  99. <div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define QWT_MATH_H</span></div>
    100. 

  100. <div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
    101. 

  101. <div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;qwt_global.h&quot;</span></div>
    102. 

  102. <div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
    103. 

  103. <div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#if defined(_MSC_VER)</span></div>
    104. 

  104. <div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">/*</span></div>
    105. 

  105. <div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">  Microsoft says:</span></div>
    106. 

  106. <div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"></span> </div>
    107. 

  107. <div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">  Define _USE_MATH_DEFINES before including math.h to expose these macro</span></div>
    108. 

  108. <div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">  definitions for common math constants.  These are placed under an #ifdef</span></div>
    109. 

  109. <div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">  since these commonly-defined names are not part of the C/C++ standards.</span></div>
    110. 

  110. <div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">*/</span></div>
    111. 

  111. <div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#define _USE_MATH_DEFINES 1</span></div>
    112. 

  112. <div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#endif</span></div>
    113. 

  113. <div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
    114. 

  114. <div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;qmath.h&gt;</span></div>
    115. 

  115. <div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &quot;qwt_global.h&quot;</span></div>
    116. 

  116. <div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160; </div>
    117. 

  117. <div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#ifndef M_PI_2</span></div>
    118. 

  118. <div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment">// For Qt &lt;= 4.8.4 M_PI_2 is not known by MinGW-w64</span></div>
    119. 

  119. <div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment">// when compiling with -std=c++11</span></div>
    120. 

  120. <div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#define M_PI_2 (1.57079632679489661923)</span></div>
    121. 

  121. <div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#endif</span></div>
    122. 

  122. <div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160; </div>
    123. 

  123. <div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#ifndef LOG_MIN</span></div>
    124. 

  124. <div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#define LOG_MIN 1.0e-100</span></div>
    125. 

  125. <div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#endif</span></div>
    126. 

  126. <div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160; </div>
    127. 

  127. <div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#ifndef LOG_MAX</span></div>
    128. 

  128. <div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#define LOG_MAX 1.0e100</span></div>
    129. 

  129. <div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#endif</span></div>
    130. 

  130. <div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160; </div>
    131. 

  131. <div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;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>
    132. 

  132. <div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;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>
    133. 

  133. <div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160; </div>
    134. 

  134. <div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;QWT_EXPORT <span class="keywordtype">double</span> qwtNormalizeRadians( <span class="keywordtype">double</span> radians );</div>
    135. 

  135. <div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;QWT_EXPORT <span class="keywordtype">double</span> qwtNormalizeDegrees( <span class="keywordtype">double</span> degrees );</div>
    136. 

  136. <div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160; </div>
    137. 

  137. <div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<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>
    138. 

  138. <div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;{</div>
    139. 

  139. <div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> eps = qAbs( 1.0e-6 * intervalSize );</div>
    140. 

  140. <div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160; </div>
    141. 

  141. <div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keywordflow">if</span> ( value2 - value1 &gt; eps )</div>
    142. 

  142. <div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">return</span> -1;</div>
    143. 

  143. <div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
    144. 

  144. <div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="keywordflow">if</span> ( value1 - value2 &gt; eps )</div>
    145. 

  145. <div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">return</span> 1;</div>
    146. 

  146. <div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160; </div>
    147. 

  147. <div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="keywordflow">return</span> 0;</div>
    148. 

  148. <div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;}</div>
    149. 

  149. <div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160; </div>
    150. 

  150. <div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160; </div>
    151. 

  151. <div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> qwtFuzzyGreaterOrEqual( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2 )</div>
    152. 

  152. <div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;{</div>
    153. 

  153. <div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    <span class="keywordflow">return</span> ( d1 &gt;= d2 ) || qFuzzyCompare( d1, d2 );</div>
    154. 

  154. <div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;}</div>
    155. 

  155. <div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160; </div>
    156. 

  156. <div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> qwtFuzzyLessOrEqual( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2 )</div>
    157. 

  157. <div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;{</div>
    158. 

  158. <div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="keywordflow">return</span> ( d1 &lt;= d2 ) || qFuzzyCompare( d1, d2 );</div>
    159. 

  159. <div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;}</div>
    160. 

  160. <div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160; </div>
    161. 

  161. <div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">int</span> qwtSign( <span class="keywordtype">double</span> x )</div>
    162. 

  162. <div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;{</div>
    163. 

  163. <div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <span class="keywordflow">if</span> ( x &gt; 0.0 )</div>
    164. 

  164. <div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">return</span> 1;</div>
    165. 

  165. <div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( x &lt; 0.0 )</div>
    166. 

  166. <div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">return</span> ( -1 );</div>
    167. 

  167. <div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    <span class="keywordflow">else</span></div>
    168. 

  168. <div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">return</span> 0;</div>
    169. 

  169. <div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;}</div>
    170. 

  170. <div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160; </div>
    171. 

  171. <div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> qwtSqr( <span class="keywordtype">double</span> x )</div>
    172. 

  172. <div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;{</div>
    173. 

  173. <div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <span class="keywordflow">return</span> x * x;</div>
    174. 

  174. <div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;}</div>
    175. 

  175. <div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160; </div>
    176. 

  176. <div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> qwtFastAtan( <span class="keywordtype">double</span> x )</div>
    177. 

  177. <div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;{</div>
    178. 

  178. <div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keywordflow">if</span> ( x &lt; -1.0 )</div>
    179. 

  179. <div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">return</span> -M_PI_2 - x / ( x * x + 0.28 );</div>
    180. 

  180. <div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160; </div>
    181. 

  181. <div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="keywordflow">if</span> ( x &gt; 1.0 )</div>
    182. 

  182. <div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">return</span> M_PI_2 - x / ( x * x + 0.28 );</div>
    183. 

  183. <div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160; </div>
    184. 

  184. <div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="keywordflow">return</span> x / ( 1.0 + x * x * 0.28 );</div>
    185. 

  185. <div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;}</div>
    186. 

  186. <div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160; </div>
    187. 

  187. <div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> qwtFastAtan2( <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> x )</div>
    188. 

  188. <div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;{</div>
    189. 

  189. <div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keywordflow">if</span> ( x &gt; 0 )</div>
    190. 

  190. <div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">return</span> qwtFastAtan( y / x );</div>
    191. 

  191. <div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160; </div>
    192. 

  192. <div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keywordflow">if</span> ( x &lt; 0 )</div>
    193. 

  193. <div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    {</div>
    194. 

  194. <div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> d = qwtFastAtan( y / x );</div>
    195. 

  195. <div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">return</span> ( y &gt;= 0 ) ? d + M_PI : d - M_PI;</div>
    196. 

  196. <div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    }</div>
    197. 

  197. <div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160; </div>
    198. 

  198. <div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keywordflow">if</span> ( y &lt; 0.0 )</div>
    199. 

  199. <div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">return</span> -M_PI_2;</div>
    200. 

  200. <div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160; </div>
    201. 

  201. <div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keywordflow">if</span> ( y &gt; 0.0 )</div>
    202. 

  202. <div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">return</span> M_PI_2;</div>
    203. 

  203. <div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160; </div>
    204. 

  204. <div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    <span class="keywordflow">return</span> 0.0;</div>
    205. 

  205. <div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;}</div>
    206. 

  206. <div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160; </div>
    207. 

  207. <div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> qwtRadians( <span class="keywordtype">double</span> degrees )</div>
    208. 

  208. <div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;{</div>
    209. 

  209. <div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    <span class="keywordflow">return</span> degrees * M_PI / 180.0;</div>
    210. 

  210. <div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;}</div>
    211. 

  211. <div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160; </div>
    212. 

  212. <div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> qwtDegrees( <span class="keywordtype">double</span> degrees )</div>
    213. 

  213. <div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;{</div>
    214. 

  214. <div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keywordflow">return</span> degrees * 180.0 / M_PI;</div>
    215. 

  215. <div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
    216. 

  216. <div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160; </div>
    217. 

  217. <div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#endif</span></div>
    218. 

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    222. 

  222.   <ul>
    223. 

  223.     <li class="navelem"><a class="el" href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li><li class="navelem"><b>qwt_math.h</b></li>
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