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 <span id="projectnumber">1.6.2</span>
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<div class="textblock"><code>#include "<a class="el" href="real_2prim_8h_source.html">prim.h</a>"</code><br />
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Functions</h2></td></tr>
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<tr class="memitem:aa9528d92a3ae44ad6484da0774604454"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#aa9528d92a3ae44ad6484da0774604454">asin</a> (double x)</td></tr>
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<tr class="memdesc:aa9528d92a3ae44ad6484da0774604454"><td class="mdescLeft"> </td><td class="mdescRight">Inverse trigonometric sine function. <a href="#aa9528d92a3ae44ad6484da0774604454">More...</a><br /></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
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Variables</h2></td></tr>
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<tr class="memitem:ada85e349d35971b32c8ea4238881ff8b"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a> = 1.00000000000000000000e+00</td></tr>
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<tr class="separator:ada85e349d35971b32c8ea4238881ff8b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acbd466133274923cc0785707fbdeea9a"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a> = 1.000e+300</td></tr>
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<tr class="separator:acbd466133274923cc0785707fbdeea9a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:afb7fbaa5c31ee6a1e6a06cfafc7b4722"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#afb7fbaa5c31ee6a1e6a06cfafc7b4722">pio2_hi</a> = 1.57079632679489655800e+00</td></tr>
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<tr class="separator:afb7fbaa5c31ee6a1e6a06cfafc7b4722"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4c04e4a8938bd8c06dbcc267cf2d1653"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#a4c04e4a8938bd8c06dbcc267cf2d1653">pio2_lo</a> = 6.12323399573676603587e-17</td></tr>
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<tr class="separator:a4c04e4a8938bd8c06dbcc267cf2d1653"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5528ffbaf3180832340ec41a3affb60b"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#a5528ffbaf3180832340ec41a3affb60b">pio4_hi</a> = 7.85398163397448278999e-01</td></tr>
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<tr class="separator:a5528ffbaf3180832340ec41a3affb60b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a598e19e166b484e6636a5d2af921178e"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#a598e19e166b484e6636a5d2af921178e">pS0</a> = 1.66666666666666657415e-01</td></tr>
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<tr class="separator:a598e19e166b484e6636a5d2af921178e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acabe4dc2fe4ed1ed9dd22dbfcc2a4a55"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#acabe4dc2fe4ed1ed9dd22dbfcc2a4a55">pS1</a> = -3.25565818622400915405e-01</td></tr>
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<tr class="separator:acabe4dc2fe4ed1ed9dd22dbfcc2a4a55"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a06b3d163437b4041ac67f2cda1cc445d"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#a06b3d163437b4041ac67f2cda1cc445d">pS2</a> = 2.01212532134862925881e-01</td></tr>
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<tr class="separator:a06b3d163437b4041ac67f2cda1cc445d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aaa40612ec8cdb54cc05424e143875d6c"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#aaa40612ec8cdb54cc05424e143875d6c">pS3</a> = -4.00555345006794114027e-02</td></tr>
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<tr class="separator:aaa40612ec8cdb54cc05424e143875d6c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4579924a5221b8718a2d834daea875c1"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#a4579924a5221b8718a2d834daea875c1">pS4</a> = 7.91534994289814532176e-04</td></tr>
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<tr class="separator:a4579924a5221b8718a2d834daea875c1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6fe8ee6da9411328a5a01cc83cb5cafe"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#a6fe8ee6da9411328a5a01cc83cb5cafe">pS5</a> = 3.47933107596021167570e-05</td></tr>
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<tr class="separator:a6fe8ee6da9411328a5a01cc83cb5cafe"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:afb566f87cc1d33877c7a4a30d0abc813"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#afb566f87cc1d33877c7a4a30d0abc813">qS1</a> = -2.40339491173441421878e+00</td></tr>
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<tr class="separator:afb566f87cc1d33877c7a4a30d0abc813"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aed4dd3ffd10de8fb416b8066211fc27d"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#aed4dd3ffd10de8fb416b8066211fc27d">qS2</a> = 2.02094576023350569471e+00</td></tr>
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<tr class="separator:aed4dd3ffd10de8fb416b8066211fc27d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:abb1b119c3d6cf33d182bd48155186510"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#abb1b119c3d6cf33d182bd48155186510">qS3</a> = -6.88283971605453293030e-01</td></tr>
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<tr class="separator:abb1b119c3d6cf33d182bd48155186510"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae6b27b738027128ae51618db2d6e4c81"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="asin_8c.html#ae6b27b738027128ae51618db2d6e4c81">qS4</a> = 7.70381505559019352791e-02</td></tr>
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</table>
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<h2 class="groupheader">Function Documentation</h2>
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<a class="anchor" id="aa9528d92a3ae44ad6484da0774604454"></a>
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<td class="memname">double asin </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<td></td>
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<p>Inverse trigonometric sine function. </p>
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<dl class="section version"><dt>Version</dt><dd>1.3 </dd></dl>
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<dl class="section date"><dt>Date</dt><dd>95/01/18</dd></dl>
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<pre>
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Method :
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Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ...
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we approximate asin(x) on [0,0.5] by
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asin(x) = x + x*x^2*R(x^2)
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where
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R(x^2) is a rational approximation of (asin(x)-x)/x^3
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and its remez error is bounded by
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|(asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75)</pre><pre> For x in [0.5,1]
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asin(x) = pi/2-2*asin(sqrt((1-x)/2))
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Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2;
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then for x>0.98
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asin(x) = pi/2 - 2*(s+s*z*R(z))
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= pio2_hi - (2*(s+s*z*R(z)) - pio2_lo)
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For x<=0.98, let pio4_hi = pio2_hi/2, then
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f = hi part of s;
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c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z)
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and
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asin(x) = pi/2 - 2*(s+s*z*R(z))
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= pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo)
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= pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c))</pre><pre>Special cases:
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if x is NaN, return x itself;
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if |x|>1, return NaN with invalid signal.</pre><pre></pre> <dl class="section copyright"><dt>Copyright</dt><dd>Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. Developed at SunSoft, a Sun Microsystems, Inc. business. Permission to use, copy, modify, and distribute this software is freely granted, provided that this notice is preserved. </dd></dl>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00104">104</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>References <a class="el" href="asin_8c_source.html#l00049">huge</a>, <a class="el" href="asin_8c_source.html#l00048">one</a>, <a class="el" href="asin_8c_source.html#l00050">pio2_hi</a>, <a class="el" href="asin_8c_source.html#l00051">pio2_lo</a>, <a class="el" href="asin_8c_source.html#l00052">pio4_hi</a>, <a class="el" href="asin_8c_source.html#l00054">pS0</a>, <a class="el" href="asin_8c_source.html#l00055">pS1</a>, <a class="el" href="asin_8c_source.html#l00056">pS2</a>, <a class="el" href="asin_8c_source.html#l00057">pS3</a>, <a class="el" href="asin_8c_source.html#l00058">pS4</a>, <a class="el" href="asin_8c_source.html#l00059">pS5</a>, <a class="el" href="asin_8c_source.html#l00060">qS1</a>, <a class="el" href="asin_8c_source.html#l00061">qS2</a>, <a class="el" href="asin_8c_source.html#l00062">qS3</a>, <a class="el" href="asin_8c_source.html#l00063">qS4</a>, and <a class="el" href="sqrt_8c_source.html#l00127">sqrt()</a>.</p>
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<p>Referenced by <a class="el" href="real_8cpp_source.html#l00467">RealNumber::ArcCosecant()</a>, and <a class="el" href="real_8cpp_source.html#l00457">RealNumber::ArcSine()</a>.</p>
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<div class="fragment"><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> {</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordtype">double</span> t,w,p,q,c,r,s;</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a> hx,ix;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="real_2prim_8h.html#ae62ee08d06ab4cc06d61dc1246b73195">GET_HIGH_WORD</a>(hx,x);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  ix = hx&0x7fffffff;</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">if</span>(ix>= 0x3ff00000) { <span class="comment">/* |x|>= 1 */</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="real_2prim_8h.html#a6e60fe0e0f9f8801507e15fe2d893751">uword</a> lx;</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="real_2prim_8h.html#adee023704c856ea8f310e8e3fd765a22">GET_LOW_WORD</a>(lx,x);</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span>(((ix-0x3ff00000)|lx)==0)</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">/* asin(1)=+-pi/2 with inexact */</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">return</span> x*<a class="code" href="asin_8c.html#afb7fbaa5c31ee6a1e6a06cfafc7b4722">pio2_hi</a>+x*<a class="code" href="asin_8c.html#a4c04e4a8938bd8c06dbcc267cf2d1653">pio2_lo</a>;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">return</span> (x-x)/(x-x); <span class="comment">/* asin(|x|>1) is NaN */</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ix<0x3fe00000) { <span class="comment">/* |x|<0.5 */</span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">if</span>(ix<0x3e400000) { <span class="comment">/* if |x| < 2**-27 */</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">if</span>(<a class="code" href="asin_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a>+x><a class="code" href="asin_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>) {</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> x;<span class="comment">/* return x with inexact if x!=0*/</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  t = 0;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  t = x*x;</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> </div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  p = t*(<a class="code" href="asin_8c.html#a598e19e166b484e6636a5d2af921178e">pS0</a>+t*(<a class="code" href="asin_8c.html#acabe4dc2fe4ed1ed9dd22dbfcc2a4a55">pS1</a>+t*(<a class="code" href="asin_8c.html#a06b3d163437b4041ac67f2cda1cc445d">pS2</a>+t*(<a class="code" href="asin_8c.html#aaa40612ec8cdb54cc05424e143875d6c">pS3</a>+t*(<a class="code" href="asin_8c.html#a4579924a5221b8718a2d834daea875c1">pS4</a>+t*<a class="code" href="asin_8c.html#a6fe8ee6da9411328a5a01cc83cb5cafe">pS5</a>)))));</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  q = <a class="code" href="asin_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>+t*(<a class="code" href="asin_8c.html#afb566f87cc1d33877c7a4a30d0abc813">qS1</a>+t*(<a class="code" href="asin_8c.html#aed4dd3ffd10de8fb416b8066211fc27d">qS2</a>+t*(<a class="code" href="asin_8c.html#abb1b119c3d6cf33d182bd48155186510">qS3</a>+t*<a class="code" href="asin_8c.html#ae6b27b738027128ae51618db2d6e4c81">qS4</a>)));</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  w = p/q;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">return</span> x+x*w;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">/* 1> |x|>= 0.5 */</span></div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  w = <a class="code" href="asin_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>-<a class="code" href="math_8h.html#a8fb5c0b9b43a108724b355136d29d2f9">fabs</a>(x);</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  t = w*0.5;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  p = t*(<a class="code" href="asin_8c.html#a598e19e166b484e6636a5d2af921178e">pS0</a>+t*(<a class="code" href="asin_8c.html#acabe4dc2fe4ed1ed9dd22dbfcc2a4a55">pS1</a>+t*(<a class="code" href="asin_8c.html#a06b3d163437b4041ac67f2cda1cc445d">pS2</a>+t*(<a class="code" href="asin_8c.html#aaa40612ec8cdb54cc05424e143875d6c">pS3</a>+t*(<a class="code" href="asin_8c.html#a4579924a5221b8718a2d834daea875c1">pS4</a>+t*<a class="code" href="asin_8c.html#a6fe8ee6da9411328a5a01cc83cb5cafe">pS5</a>)))));</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  q = <a class="code" href="asin_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>+t*(<a class="code" href="asin_8c.html#afb566f87cc1d33877c7a4a30d0abc813">qS1</a>+t*(<a class="code" href="asin_8c.html#aed4dd3ffd10de8fb416b8066211fc27d">qS2</a>+t*(<a class="code" href="asin_8c.html#abb1b119c3d6cf33d182bd48155186510">qS3</a>+t*<a class="code" href="asin_8c.html#ae6b27b738027128ae51618db2d6e4c81">qS4</a>)));</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  s = <a class="code" href="math_8h.html#ab87521a75ef827a85807f89a6c10629a">sqrt</a>(t);</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">if</span>(ix>=0x3FEF3333) { <span class="comment">/* if |x| > 0.975 */</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  w = p/q;</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  t = <a class="code" href="asin_8c.html#afb7fbaa5c31ee6a1e6a06cfafc7b4722">pio2_hi</a>-(2.0*(s+s*w)-<a class="code" href="asin_8c.html#a4c04e4a8938bd8c06dbcc267cf2d1653">pio2_lo</a>);</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  w = s;</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="real_2prim_8h.html#af4776e0b45c17da39fce08bc7b211a03">SET_LOW_WORD</a>(w,0);</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  c = (t-w*w)/(s+w);</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  r = p/q;</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  p = 2.0*s*r-(<a class="code" href="asin_8c.html#a4c04e4a8938bd8c06dbcc267cf2d1653">pio2_lo</a>-2.0*c);</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  q = <a class="code" href="asin_8c.html#a5528ffbaf3180832340ec41a3affb60b">pio4_hi</a>-2.0*w;</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  t = <a class="code" href="asin_8c.html#a5528ffbaf3180832340ec41a3affb60b">pio4_hi</a>-(p-q);</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="keywordflow">if</span>(hx>0) <span class="keywordflow">return</span> t;</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> -t;</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> }</div><div class="ttc" id="asin_8c_html_acabe4dc2fe4ed1ed9dd22dbfcc2a4a55"><div class="ttname"><a href="asin_8c.html#acabe4dc2fe4ed1ed9dd22dbfcc2a4a55">pS1</a></div><div class="ttdeci">static const double pS1</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00055">asin.c:55</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_ae62ee08d06ab4cc06d61dc1246b73195"><div class="ttname"><a href="real_2prim_8h.html#ae62ee08d06ab4cc06d61dc1246b73195">GET_HIGH_WORD</a></div><div class="ttdeci">#define GET_HIGH_WORD(i, d)</div><div class="ttdoc">Get the more significant 32 bit int from a double. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00165">prim.h:165</a></div></div>
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<div class="ttc" id="asin_8c_html_acbd466133274923cc0785707fbdeea9a"><div class="ttname"><a href="asin_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a></div><div class="ttdeci">static const double huge</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00049">asin.c:49</a></div></div>
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<div class="ttc" id="asin_8c_html_a4579924a5221b8718a2d834daea875c1"><div class="ttname"><a href="asin_8c.html#a4579924a5221b8718a2d834daea875c1">pS4</a></div><div class="ttdeci">static const double pS4</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00058">asin.c:58</a></div></div>
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<div class="ttc" id="asin_8c_html_a6fe8ee6da9411328a5a01cc83cb5cafe"><div class="ttname"><a href="asin_8c.html#a6fe8ee6da9411328a5a01cc83cb5cafe">pS5</a></div><div class="ttdeci">static const double pS5</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00059">asin.c:59</a></div></div>
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<div class="ttc" id="asin_8c_html_afb7fbaa5c31ee6a1e6a06cfafc7b4722"><div class="ttname"><a href="asin_8c.html#afb7fbaa5c31ee6a1e6a06cfafc7b4722">pio2_hi</a></div><div class="ttdeci">static const double pio2_hi</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00050">asin.c:50</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_adee023704c856ea8f310e8e3fd765a22"><div class="ttname"><a href="real_2prim_8h.html#adee023704c856ea8f310e8e3fd765a22">GET_LOW_WORD</a></div><div class="ttdeci">#define GET_LOW_WORD(i, d)</div><div class="ttdoc">Get the less significant 32 bit int from a double. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00176">prim.h:176</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_ae91287c8a5f73a8a22a100f50dc4de77"><div class="ttname"><a href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a></div><div class="ttdeci">signed int sword</div><div class="ttdoc">32 bit signed integer. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00107">prim.h:107</a></div></div>
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<div class="ttc" id="math_8h_html_a8fb5c0b9b43a108724b355136d29d2f9"><div class="ttname"><a href="math_8h.html#a8fb5c0b9b43a108724b355136d29d2f9">fabs</a></div><div class="ttdeci">double fabs(double x)</div><div class="ttdoc">Returns the absolute value of x. </div><div class="ttdef"><b>Definition:</b> <a href="fabs_8c_source.html#l00051">fabs.c:51</a></div></div>
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<div class="ttc" id="asin_8c_html_afb566f87cc1d33877c7a4a30d0abc813"><div class="ttname"><a href="asin_8c.html#afb566f87cc1d33877c7a4a30d0abc813">qS1</a></div><div class="ttdeci">static const double qS1</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00060">asin.c:60</a></div></div>
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<div class="ttc" id="asin_8c_html_a5528ffbaf3180832340ec41a3affb60b"><div class="ttname"><a href="asin_8c.html#a5528ffbaf3180832340ec41a3affb60b">pio4_hi</a></div><div class="ttdeci">static const double pio4_hi</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00052">asin.c:52</a></div></div>
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<div class="ttc" id="math_8h_html_ab87521a75ef827a85807f89a6c10629a"><div class="ttname"><a href="math_8h.html#ab87521a75ef827a85807f89a6c10629a">sqrt</a></div><div class="ttdeci">double sqrt(double x)</div><div class="ttdoc">Square root function. </div><div class="ttdef"><b>Definition:</b> <a href="sqrt_8c_source.html#l00127">sqrt.c:127</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_a6e60fe0e0f9f8801507e15fe2d893751"><div class="ttname"><a href="real_2prim_8h.html#a6e60fe0e0f9f8801507e15fe2d893751">uword</a></div><div class="ttdeci">unsigned int uword</div><div class="ttdoc">32 bit unsigned integer. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00101">prim.h:101</a></div></div>
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<div class="ttc" id="asin_8c_html_a598e19e166b484e6636a5d2af921178e"><div class="ttname"><a href="asin_8c.html#a598e19e166b484e6636a5d2af921178e">pS0</a></div><div class="ttdeci">static const double pS0</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00054">asin.c:54</a></div></div>
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<div class="ttc" id="asin_8c_html_a06b3d163437b4041ac67f2cda1cc445d"><div class="ttname"><a href="asin_8c.html#a06b3d163437b4041ac67f2cda1cc445d">pS2</a></div><div class="ttdeci">static const double pS2</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00056">asin.c:56</a></div></div>
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<div class="ttc" id="asin_8c_html_ae6b27b738027128ae51618db2d6e4c81"><div class="ttname"><a href="asin_8c.html#ae6b27b738027128ae51618db2d6e4c81">qS4</a></div><div class="ttdeci">static const double qS4</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00063">asin.c:63</a></div></div>
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<div class="ttc" id="asin_8c_html_ada85e349d35971b32c8ea4238881ff8b"><div class="ttname"><a href="asin_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a></div><div class="ttdeci">static const double one</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00048">asin.c:48</a></div></div>
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<div class="ttc" id="asin_8c_html_aaa40612ec8cdb54cc05424e143875d6c"><div class="ttname"><a href="asin_8c.html#aaa40612ec8cdb54cc05424e143875d6c">pS3</a></div><div class="ttdeci">static const double pS3</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00057">asin.c:57</a></div></div>
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<div class="ttc" id="asin_8c_html_a4c04e4a8938bd8c06dbcc267cf2d1653"><div class="ttname"><a href="asin_8c.html#a4c04e4a8938bd8c06dbcc267cf2d1653">pio2_lo</a></div><div class="ttdeci">static const double pio2_lo</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00051">asin.c:51</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_af4776e0b45c17da39fce08bc7b211a03"><div class="ttname"><a href="real_2prim_8h.html#af4776e0b45c17da39fce08bc7b211a03">SET_LOW_WORD</a></div><div class="ttdeci">#define SET_LOW_WORD(d, v)</div><div class="ttdoc">Set the less significant 32 bits of a double from an int. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00211">prim.h:211</a></div></div>
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<div class="ttc" id="asin_8c_html_aed4dd3ffd10de8fb416b8066211fc27d"><div class="ttname"><a href="asin_8c.html#aed4dd3ffd10de8fb416b8066211fc27d">qS2</a></div><div class="ttdeci">static const double qS2</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00061">asin.c:61</a></div></div>
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<div class="ttc" id="asin_8c_html_abb1b119c3d6cf33d182bd48155186510"><div class="ttname"><a href="asin_8c.html#abb1b119c3d6cf33d182bd48155186510">qS3</a></div><div class="ttdeci">static const double qS3</div><div class="ttdef"><b>Definition:</b> <a href="asin_8c_source.html#l00062">asin.c:62</a></div></div>
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<h2 class="groupheader">Variable Documentation</h2>
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<td class="memname">const double huge = 1.000e+300</td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00049">49</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="ada85e349d35971b32c8ea4238881ff8b"></a>
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<div class="memitem">
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<div class="memproto">
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<td class="mlabels-left">
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<td class="memname">const double one = 1.00000000000000000000e+00</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00048">48</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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</div>
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<a class="anchor" id="afb7fbaa5c31ee6a1e6a06cfafc7b4722"></a>
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<div class="memitem">
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<td class="memname">const double pio2_hi = 1.57079632679489655800e+00</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00050">50</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="a4c04e4a8938bd8c06dbcc267cf2d1653"></a>
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<div class="memitem">
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<td class="memname">const double pio2_lo = 6.12323399573676603587e-17</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00051">51</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="a5528ffbaf3180832340ec41a3affb60b"></a>
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<div class="memitem">
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<td class="memname">const double pio4_hi = 7.85398163397448278999e-01</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00052">52</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="a598e19e166b484e6636a5d2af921178e"></a>
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<div class="memitem">
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<td class="memname">const double pS0 = 1.66666666666666657415e-01</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00054">54</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="acabe4dc2fe4ed1ed9dd22dbfcc2a4a55"></a>
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<div class="memitem">
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<td class="memname">const double pS1 = -3.25565818622400915405e-01</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00055">55</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="a06b3d163437b4041ac67f2cda1cc445d"></a>
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<div class="memitem">
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<td class="memname">const double pS2 = 2.01212532134862925881e-01</td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00056">56</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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<a class="anchor" id="aaa40612ec8cdb54cc05424e143875d6c"></a>
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<td class="memname">const double pS3 = -4.00555345006794114027e-02</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00057">57</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="a4579924a5221b8718a2d834daea875c1"></a>
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<td class="memname">const double pS4 = 7.91534994289814532176e-04</td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00058">58</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="a6fe8ee6da9411328a5a01cc83cb5cafe"></a>
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<div class="memitem">
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<td class="memname">const double pS5 = 3.47933107596021167570e-05</td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00059">59</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="afb566f87cc1d33877c7a4a30d0abc813"></a>
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<div class="memitem">
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<td class="memname">const double qS1 = -2.40339491173441421878e+00</td>
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<td class="mlabels-right">
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00060">60</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="aed4dd3ffd10de8fb416b8066211fc27d"></a>
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<div class="memitem">
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<div class="memproto">
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<td class="memname">const double qS2 = 2.02094576023350569471e+00</td>
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</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00061">61</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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</div>
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<a class="anchor" id="abb1b119c3d6cf33d182bd48155186510"></a>
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<div class="memitem">
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<div class="memproto">
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<table class="mlabels">
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<td class="memname">const double qS3 = -6.88283971605453293030e-01</td>
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</tr>
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</table>
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</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00062">62</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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<a class="anchor" id="ae6b27b738027128ae51618db2d6e4c81"></a>
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<div class="memitem">
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<div class="memproto">
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<td class="memname">const double qS4 = 7.70381505559019352791e-02</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Definition at line <a class="el" href="asin_8c_source.html#l00063">63</a> of file <a class="el" href="asin_8c_source.html">asin.c</a>.</p>
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<p>Referenced by <a class="el" href="asin_8c_source.html#l00104">asin()</a>.</p>
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</div>
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</div>
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</div><!-- contents -->
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</div><!-- doc-content -->
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<!-- start footer part -->
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