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Update documentation
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Update documentation
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&#160;<span id="projectnumber">1.6.2</span>
Update documentation
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<div class="textblock"><code>#include &quot;<a class="el" href="real_2prim_8h_source.html">prim.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="math_8h_source.html">math.h</a>&quot;</code><br />
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Functions</h2></td></tr>
<tr class="memitem:a907297107e93ea9c8a0c8409a8e65079"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="asinh_8c.html#a907297107e93ea9c8a0c8409a8e65079">asinh</a> (double x)</td></tr>
<tr class="memdesc:a907297107e93ea9c8a0c8409a8e65079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverse hyperbolic sine function. <a href="#a907297107e93ea9c8a0c8409a8e65079">More...</a><br /></td></tr>
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<tr class="memitem:ada85e349d35971b32c8ea4238881ff8b"><td class="memItemLeft" align="right" valign="top">static const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="asinh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a> = 1.00000000000000000000e+00</td></tr>
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<tr class="memitem:a703f4fc93e5a57058ce6ba2ba196918d"><td class="memItemLeft" align="right" valign="top">static const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="asinh_8c.html#a703f4fc93e5a57058ce6ba2ba196918d">ln2</a> = 6.93147180559945286227e-01</td></tr>
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<tr class="memitem:acbd466133274923cc0785707fbdeea9a"><td class="memItemLeft" align="right" valign="top">static const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="asinh_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a> = 1.00000000000000000000e+300</td></tr>
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<td class="memname">double asinh </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Inverse hyperbolic sine function. </p>
<dl class="section version"><dt>Version</dt><dd>1.3 </dd></dl>
<dl class="section date"><dt>Date</dt><dd>95/01/18</dd></dl>
<pre>
Method :
Based on
asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
we have
asinh(x) := x if 1+x*x=1,
:= sign(x)*(log(x)+ln2)) for large |x|, else
:= sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|&gt;2, else
:= sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
</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>
<p>Definition at line <a class="el" href="asinh_8c_source.html#l00073">73</a> of file <a class="el" href="asinh_8c_source.html">asinh.c</a>.</p>
<p>References <a class="el" href="asinh_8c_source.html#l00050">huge</a>, <a class="el" href="asinh_8c_source.html#l00049">ln2</a>, <a class="el" href="log1p_8c_source.html#l00125">log1p()</a>, <a class="el" href="asinh_8c_source.html#l00048">one</a>, and <a class="el" href="sqrt_8c_source.html#l00127">sqrt()</a>.</p>
<p>Referenced by <a class="el" href="real_8cpp_source.html#l00507">RealNumber::HypArcCosecant()</a>, and <a class="el" href="real_8cpp_source.html#l00497">RealNumber::HypArcSine()</a>.</p>
<div class="fragment"><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;{</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordtype">double</span> t,w;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <a class="code" href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a> hx,ix;</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <a class="code" href="real_2prim_8h.html#ae62ee08d06ab4cc06d61dc1246b73195">GET_HIGH_WORD</a>(hx,x);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; ix = hx&amp;0x7fffffff;</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">if</span>(ix&gt;=0x7ff00000) <span class="keywordflow">return</span> x+x; <span class="comment">/* x is inf or NaN */</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">if</span>(ix&lt; 0x3e300000) { <span class="comment">/* |x|&lt;2**-28 */</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordflow">if</span>(<a class="code" href="asinh_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a>+x&gt;<a class="code" href="asinh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>) <span class="keywordflow">return</span> x; <span class="comment">/* return x inexact except 0 */</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; }</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordflow">if</span>(ix&gt;0x41b00000) { <span class="comment">/* |x| &gt; 2**28 */</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; w = <a class="code" href="math_8h.html#adb302c9aafbaa5e180d9f60ee954bb82">log</a>(<a class="code" href="math_8h.html#a8fb5c0b9b43a108724b355136d29d2f9">fabs</a>(x))+<a class="code" href="asinh_8c.html#a703f4fc93e5a57058ce6ba2ba196918d">ln2</a>;</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ix&gt;0x40000000) { <span class="comment">/* 2**28 &gt; |x| &gt; 2.0 */</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; t = <a class="code" href="math_8h.html#a8fb5c0b9b43a108724b355136d29d2f9">fabs</a>(x);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; w = <a class="code" href="math_8h.html#adb302c9aafbaa5e180d9f60ee954bb82">log</a>(2.0*t+<a class="code" href="asinh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>/(<a class="code" href="math_8h.html#ab87521a75ef827a85807f89a6c10629a">sqrt</a>(x*x+<a class="code" href="asinh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>)+t));</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; } <span class="keywordflow">else</span> { <span class="comment">/* 2.0 &gt; |x| &gt; 2**-28 */</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; t = x*x;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; w =<a class="code" href="math_8h.html#ac2aac20ab1347498e6e4f209148fea84">log1p</a>(<a class="code" href="math_8h.html#a8fb5c0b9b43a108724b355136d29d2f9">fabs</a>(x)+t/(<a class="code" href="asinh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>+<a class="code" href="math_8h.html#ab87521a75ef827a85807f89a6c10629a">sqrt</a>(<a class="code" href="asinh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>+t)));</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; }</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keywordflow">if</span>(hx&gt;0) <span class="keywordflow">return</span> w;</div><div class="lin
<div class="ttc" id="math_8h_html_ac2aac20ab1347498e6e4f209148fea84"><div class="ttname"><a href="math_8h.html#ac2aac20ab1347498e6e4f209148fea84">log1p</a></div><div class="ttdeci">double log1p(double x)</div><div class="ttdef"><b>Definition:</b> <a href="log1p_8c_source.html#l00125">log1p.c:125</a></div></div>
<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>
<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>
<div class="ttc" id="asinh_8c_html_a703f4fc93e5a57058ce6ba2ba196918d"><div class="ttname"><a href="asinh_8c.html#a703f4fc93e5a57058ce6ba2ba196918d">ln2</a></div><div class="ttdeci">static const double ln2</div><div class="ttdef"><b>Definition:</b> <a href="asinh_8c_source.html#l00049">asinh.c:49</a></div></div>
<div class="ttc" id="asinh_8c_html_acbd466133274923cc0785707fbdeea9a"><div class="ttname"><a href="asinh_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a></div><div class="ttdeci">static const double huge</div><div class="ttdef"><b>Definition:</b> <a href="asinh_8c_source.html#l00050">asinh.c:50</a></div></div>
<div class="ttc" id="asinh_8c_html_ada85e349d35971b32c8ea4238881ff8b"><div class="ttname"><a href="asinh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a></div><div class="ttdeci">static const double one</div><div class="ttdef"><b>Definition:</b> <a href="asinh_8c_source.html#l00048">asinh.c:48</a></div></div>
<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>
<div class="ttc" id="math_8h_html_adb302c9aafbaa5e180d9f60ee954bb82"><div class="ttname"><a href="math_8h.html#adb302c9aafbaa5e180d9f60ee954bb82">log</a></div><div class="ttdeci">double log(double x)</div><div class="ttdoc">Natural logarithm function (base e). </div><div class="ttdef"><b>Definition:</b> <a href="log_8c_source.html#l00118">log.c:118</a></div></div>
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Here is the call graph for this function:</div>
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Here is the caller graph for this function:</div>
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<div class="center"><img src="asinh_8c_a907297107e93ea9c8a0c8409a8e65079_icgraph.png" border="0" usemap="#asinh_8c_a907297107e93ea9c8a0c8409a8e65079_icgraph" alt=""/></div>
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<h2 class="groupheader">Variable Documentation</h2>
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<td class="memname">const double huge = 1.00000000000000000000e+300</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="asinh_8c_source.html#l00050">50</a> of file <a class="el" href="asinh_8c_source.html">asinh.c</a>.</p>
<p>Referenced by <a class="el" href="asinh_8c_source.html#l00073">asinh()</a>.</p>
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<td class="memname">const double ln2 = 6.93147180559945286227e-01</td>
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<p>Definition at line <a class="el" href="asinh_8c_source.html#l00049">49</a> of file <a class="el" href="asinh_8c_source.html">asinh.c</a>.</p>
<p>Referenced by <a class="el" href="asinh_8c_source.html#l00073">asinh()</a>.</p>
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<td class="memname">const double one = 1.00000000000000000000e+00</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="asinh_8c_source.html#l00048">48</a> of file <a class="el" href="asinh_8c_source.html">asinh.c</a>.</p>
<p>Referenced by <a class="el" href="asinh_8c_source.html#l00073">asinh()</a>.</p>
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