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<div id="projectname">amath
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 <span id="projectnumber">1.6.2</span>
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<div id="projectbrief">Simple command line calculator</div>
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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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<code>#include "<a class="el" href="math_8h_source.html">math.h</a>"</code><br />
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Functions</h2></td></tr>
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<tr class="memitem:ac862445bcb46911b1782c284829d5e46"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="acosh_8c.html#ac862445bcb46911b1782c284829d5e46">acosh</a> (double x)</td></tr>
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<tr class="memdesc:ac862445bcb46911b1782c284829d5e46"><td class="mdescLeft"> </td><td class="mdescRight">Inverse hyperbolic cosine function. <a href="#ac862445bcb46911b1782c284829d5e46">More...</a><br /></td></tr>
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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="acosh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a> = 1.0</td></tr>
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<tr class="memitem:a703f4fc93e5a57058ce6ba2ba196918d"><td class="memItemLeft" align="right" valign="top">static const double </td><td class="memItemRight" valign="bottom"><a class="el" href="acosh_8c.html#a703f4fc93e5a57058ce6ba2ba196918d">ln2</a> = 6.93147180559945286227e-01</td></tr>
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<tr class="separator:a703f4fc93e5a57058ce6ba2ba196918d"><td class="memSeparator" colspan="2"> </td></tr>
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<h2 class="groupheader">Function Documentation</h2>
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<td class="memname">double acosh </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 hyperbolic cosine 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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Based on
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acosh(x) = log [ x + sqrt(x*x-1) ]
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we have
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acosh(x) := log(x)+ln2, if x is large; else
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acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
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acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.</pre><pre>Special cases:
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acosh(x) is NaN with signal if x<1.
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acosh(NaN) is NaN without signal.
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</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="acosh_8c_source.html#l00075">75</a> of file <a class="el" href="acosh_8c_source.html">acosh.c</a>.</p>
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<p>References <a class="el" href="acosh_8c_source.html#l00049">ln2</a>, <a class="el" href="log1p_8c_source.html#l00125">log1p()</a>, <a class="el" href="acosh_8c_source.html#l00048">one</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#l00477">RealNumber::HypArcCosine()</a>, and <a class="el" href="real_8cpp_source.html#l00487">RealNumber::HypArcSecant()</a>.</p>
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<div class="fragment"><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>  <span class="keywordtype">double</span> t;</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a> hx, lx;</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="real_2prim_8h.html#ae62ee08d06ab4cc06d61dc1246b73195">GET_HIGH_WORD</a>(hx,x);</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="real_2prim_8h.html#adee023704c856ea8f310e8e3fd765a22">GET_LOW_WORD</a>(lx,x);</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">if</span>(hx<0x3ff00000) { <span class="comment">/* x < 1 */</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">return</span> (x-x)/(x-x);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(hx >=0x41b00000) { <span class="comment">/* x > 2**28 */</span></div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span>(hx >=0x7ff00000) { <span class="comment">/* x is inf of NaN */</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">return</span> x+x;</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  } <span class="keywordflow">else</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> <a class="code" href="math_8h.html#adb302c9aafbaa5e180d9f60ee954bb82">log</a>(x)+<a class="code" href="acosh_8c.html#a703f4fc93e5a57058ce6ba2ba196918d">ln2</a>; <span class="comment">/* acosh(huge)=log(2x) */</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(((hx-0x3ff00000)|lx)==0) {</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">return</span> 0.0; <span class="comment">/* acosh(1) = 0 */</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (hx > 0x40000000) { <span class="comment">/* 2**28 > x > 2 */</span></div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  t=x*x;</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> <a class="code" href="math_8h.html#adb302c9aafbaa5e180d9f60ee954bb82">log</a>(2.0*x-<a class="code" href="acosh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>/(x+<a class="code" href="math_8h.html#ab87521a75ef827a85807f89a6c10629a">sqrt</a>(t-<a class="code" href="acosh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>)));</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  } <span class="keywordflow">else</span> { <span class="comment">/* 1<x<2 */</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  t = x-<a class="code" href="acosh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a>;</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> <a class="code" href="math_8h.html#ac2aac20ab1347498e6e4f209148fea84">log1p</a>(t+<a class="code" href="math_8h.html#ab87521a75ef827a85807f89a6c10629a">sqrt</a>(2.0*t+t*t));</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> }</div><div class="ttc" id="acosh_8c_html_ada85e349d35971b32c8ea4238881ff8b"><div class="ttname"><a href="acosh_8c.html#ada85e349d35971b32c8ea4238881ff8b">one</a></div><div class="ttdeci">static const double one</div><div class="ttdef"><b>Definition:</b> <a href="acosh_8c_source.html#l00048">acosh.c:48</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="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>
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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_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="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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<div class="ttc" id="acosh_8c_html_a703f4fc93e5a57058ce6ba2ba196918d"><div class="ttname"><a href="acosh_8c.html#a703f4fc93e5a57058ce6ba2ba196918d">ln2</a></div><div class="ttdeci">static const double ln2</div><div class="ttdef"><b>Definition:</b> <a href="acosh_8c_source.html#l00049">acosh.c:49</a></div></div>
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<h2 class="groupheader">Variable Documentation</h2>
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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="acosh_8c_source.html#l00049">49</a> of file <a class="el" href="acosh_8c_source.html">acosh.c</a>.</p>
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<p>Referenced by <a class="el" href="acosh_8c_source.html#l00075">acosh()</a>.</p>
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<td class="memname">const double one = 1.0</td>
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<p>Definition at line <a class="el" href="acosh_8c_source.html#l00048">48</a> of file <a class="el" href="acosh_8c_source.html">acosh.c</a>.</p>
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<p>Referenced by <a class="el" href="acosh_8c_source.html#l00075">acosh()</a>.</p>
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