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<div class="title">trigtbl.h</div> </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>  </div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">** Please only distribute this with it's associated FHT routine.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">** This algorithm is apparently patented(!) and the code copyrighted. </span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">** See the comment with the fht routine for more info.</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">** -Thanks,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">** Ron Mayer</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">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="keyword">extern</span> <span class="stringliteral">"C"</span> {</div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#ifdef REAL</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#define REAL double</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#ifdef GOOD_TRIG</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#define FAST_TRIG</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#if defined(GOOD_TRIG)</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define FHT_SWAP(a,b,t) {(t)=(a);(a)=(b);(b)=(t);}</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define TRIG_VARS \</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor"> int t_lam=0;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#define TRIG_INIT(k,c,s) \</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor"> { \</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor"> int i; \</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor"> for (i=2 ; i<=k ; i++) \</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor"> {coswrk[i]=costab[i];sinwrk[i]=sintab[i];} \</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor"> t_lam = 0; \</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor"> c = 1; \</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"> s = 0; \</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor"> }</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#define TRIG_NEXT(k,c,s) \</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> <span class="preprocessor"> int i,j; \</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor"> (t_lam)++; \</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor"> for (i=0 ; !((1<<i)&t_lam) ; i++); \</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor"> i = k-i; \</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor"> s = sinwrk[i]; \</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor"> c = coswrk[i]; \</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor"> if (i>1) \</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor"> { \</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor"> for (j=k-i+2 ; (1<<j)&t_lam ; j++); \</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"> j = k - j; \</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor"> sinwrk[i] = halsec[i] * (sinwrk[i-1] + sinwrk[j]); \</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"> coswrk[i] = halsec[i] * (coswrk[i-1] + coswrk[j]); \</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor"> } \</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor"> }</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#define TRIG_RESET(k,c,s)</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor">#if defined(FAST_TRIG)</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor">#define TRIG_VARS \</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor"> REAL t_c,t_s;</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor">#define TRIG_INIT(k,c,s) \</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor"> { \</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="preprocessor"> t_c = costab[k]; \</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor"> t_s = sintab[k]; \</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor"> c = 1; \</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="preprocessor"> s = 0; \</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor"> }</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="preprocessor">#define TRIG_NEXT(k,c,s) \</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="preprocessor"> { \</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor"> REAL t = c; \</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="preprocessor"> c = t*t_c - s*t_s; \</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor"> s = t*t_s + s*t_c; \</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor"> }</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="preprocessor">#define TRIG_RESET(k,c,s)</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="preprocessor">#endif</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="keyword">static</span> REAL halsec[20]=</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>  0,</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  0,</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  .54119610014619698439972320536638942006107206337801,</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  .50979557910415916894193980398784391368261849190893,</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  .50241928618815570551167011928012092247859337193963,</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  .50060299823519630134550410676638239611758632599591,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  .50015063602065098821477101271097658495974913010340,</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  .50003765191554772296778139077905492847503165398345,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  .50000941253588775676512870469186533538523133757983,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  .50000235310628608051401267171204408939326297376426,</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  .50000058827484117879868526730916804925780637276181,</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  .50000014706860214875463798283871198206179118093251,</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  .50000003676714377807315864400643020315103490883972,</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  .50000000919178552207366560348853455333939112569380,</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  .50000000229794635411562887767906868558991922348920,</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  .50000000057448658687873302235147272458812263401372</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="keyword">static</span> REAL costab[20]=</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  .00000000000000000000000000000000000000000000000000,</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  .70710678118654752440084436210484903928483593768847,</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  .92387953251128675612818318939678828682241662586364,</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  .98078528040323044912618223613423903697393373089333,</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  .99518472667219688624483695310947992157547486872985,</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  .99879545620517239271477160475910069444320361470461,</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  .99969881869620422011576564966617219685006108125772,</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  .99992470183914454092164649119638322435060646880221,</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  .99998117528260114265699043772856771617391725094433,</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  .99999529380957617151158012570011989955298763362218,</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  .99999882345170190992902571017152601904826792288976,</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  .99999970586288221916022821773876567711626389934930,</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  .99999992646571785114473148070738785694820115568892,</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  .99999998161642929380834691540290971450507605124278,</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  .99999999540410731289097193313960614895889430318945,</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  .99999999885102682756267330779455410840053741619428</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="keyword">static</span> REAL sintab[20]=</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  1.0000000000000000000000000000000000000000000000000,</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  .70710678118654752440084436210484903928483593768846,</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  .38268343236508977172845998403039886676134456248561,</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  .19509032201612826784828486847702224092769161775195,</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  .09801714032956060199419556388864184586113667316749,</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  .04906767432741801425495497694268265831474536302574,</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  .02454122852291228803173452945928292506546611923944,</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  .01227153828571992607940826195100321214037231959176,</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  .00613588464915447535964023459037258091705788631738,</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  .00306795676296597627014536549091984251894461021344,</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  .00153398018628476561230369715026407907995486457522,</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  .00076699031874270452693856835794857664314091945205,</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  .00038349518757139558907246168118138126339502603495,</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  .00019174759731070330743990956198900093346887403385,</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  .00009587379909597734587051721097647635118706561284,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  .00004793689960306688454900399049465887274686668768</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  };</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">static</span> REAL coswrk[20]=</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>  .00000000000000000000000000000000000000000000000000,</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  .70710678118654752440084436210484903928483593768847,</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  .92387953251128675612818318939678828682241662586364,</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  .98078528040323044912618223613423903697393373089333,</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  .99518472667219688624483695310947992157547486872985,</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  .99879545620517239271477160475910069444320361470461,</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  .99969881869620422011576564966617219685006108125772,</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  .99992470183914454092164649119638322435060646880221,</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  .99998117528260114265699043772856771617391725094433,</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  .99999529380957617151158012570011989955298763362218,</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  .99999882345170190992902571017152601904826792288976,</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  .99999970586288221916022821773876567711626389934930,</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  .99999992646571785114473148070738785694820115568892,</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  .99999998161642929380834691540290971450507605124278,</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  .99999999540410731289097193313960614895889430318945,</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  .99999999885102682756267330779455410840053741619428</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  };</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="keyword">static</span> REAL sinwrk[20]=</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  {</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  1.0000000000000000000000000000000000000000000000000,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  .70710678118654752440084436210484903928483593768846,</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  .38268343236508977172845998403039886676134456248561,</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  .19509032201612826784828486847702224092769161775195,</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  .09801714032956060199419556388864184586113667316749,</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  .04906767432741801425495497694268265831474536302574,</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  .02454122852291228803173452945928292506546611923944,</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  .01227153828571992607940826195100321214037231959176,</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  .00613588464915447535964023459037258091705788631738,</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  .00306795676296597627014536549091984251894461021344,</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  .00153398018628476561230369715026407907995486457522,</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  .00076699031874270452693856835794857664314091945205,</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  .00038349518757139558907246168118138126339502603495,</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  .00019174759731070330743990956198900093346887403385,</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  .00009587379909597734587051721097647635118706561284,</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  .00004793689960306688454900399049465887274686668768</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  };</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> }</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="preprocessor">#endif</span></div>
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