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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<div class="title">Fundamental math functionality</div>  </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
Macros</h2></td></tr>
<tr class="memitem:gacafb846ee84607ea646b6ba9b44d4012"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#gacafb846ee84607ea646b6ba9b44d4012">CPL_MATH_1_PI</a>&#160;&#160;&#160;0.3183098861837906715377675267450287240689192914809129</td></tr>
<tr class="memdesc:gacafb846ee84607ea646b6ba9b44d4012"><td class="mdescLeft">&#160;</td><td class="mdescRight">1/pi  <a href="#gacafb846ee84607ea646b6ba9b44d4012">More...</a><br /></td></tr>
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<tr class="memitem:ga1e0bbd5283d8facb2e793a885bd33d11"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga1e0bbd5283d8facb2e793a885bd33d11">CPL_MATH_2_PI</a>&#160;&#160;&#160;0.6366197723675813430755350534900574481378385829618258</td></tr>
<tr class="memdesc:ga1e0bbd5283d8facb2e793a885bd33d11"><td class="mdescLeft">&#160;</td><td class="mdescRight">2/pi  <a href="#ga1e0bbd5283d8facb2e793a885bd33d11">More...</a><br /></td></tr>
<tr class="separator:ga1e0bbd5283d8facb2e793a885bd33d11"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga7e9d3b05fe6db570ee56dff5055fb72e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga7e9d3b05fe6db570ee56dff5055fb72e">CPL_MATH_2_SQRTPI</a>&#160;&#160;&#160;1.1283791670955125738961589031215451716881012586579977</td></tr>
<tr class="memdesc:ga7e9d3b05fe6db570ee56dff5055fb72e"><td class="mdescLeft">&#160;</td><td class="mdescRight">2/sqrt(pi)  <a href="#ga7e9d3b05fe6db570ee56dff5055fb72e">More...</a><br /></td></tr>
<tr class="separator:ga7e9d3b05fe6db570ee56dff5055fb72e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga23ffb14de01e3e1a5392d5f7c11a686f"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga23ffb14de01e3e1a5392d5f7c11a686f">CPL_MATH_2PI</a>&#160;&#160;&#160;6.2831853071795864769252867665590057683943387987502116</td></tr>
<tr class="memdesc:ga23ffb14de01e3e1a5392d5f7c11a686f"><td class="mdescLeft">&#160;</td><td class="mdescRight">2 pi  <a href="#ga23ffb14de01e3e1a5392d5f7c11a686f">More...</a><br /></td></tr>
<tr class="separator:ga23ffb14de01e3e1a5392d5f7c11a686f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga2607812956998f5b967a7b7c3c6e537e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga2607812956998f5b967a7b7c3c6e537e">CPL_MATH_4_PI</a>&#160;&#160;&#160;1.2732395447351626861510701069801148962756771659236516</td></tr>
<tr class="memdesc:ga2607812956998f5b967a7b7c3c6e537e"><td class="mdescLeft">&#160;</td><td class="mdescRight">4/pi  <a href="#ga2607812956998f5b967a7b7c3c6e537e">More...</a><br /></td></tr>
<tr class="separator:ga2607812956998f5b967a7b7c3c6e537e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga3f1aef1f3bb06fa03ff7f68cde9ec14b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga3f1aef1f3bb06fa03ff7f68cde9ec14b">CPL_MATH_DEG_RAD</a>&#160;&#160;&#160;57.295779513082320876798154814105170332405472466564322</td></tr>
<tr class="memdesc:ga3f1aef1f3bb06fa03ff7f68cde9ec14b"><td class="mdescLeft">&#160;</td><td class="mdescRight">180/pi  <a href="#ga3f1aef1f3bb06fa03ff7f68cde9ec14b">More...</a><br /></td></tr>
<tr class="separator:ga3f1aef1f3bb06fa03ff7f68cde9ec14b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:gac626eab01ea25ca14dee3fed1c07c719"><td class="mdescLeft">&#160;</td><td class="mdescRight">The base of the exponential function.  <a href="#gac626eab01ea25ca14dee3fed1c07c719">More...</a><br /></td></tr>
<tr class="separator:gac626eab01ea25ca14dee3fed1c07c719"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:ga66d7e78219461bc110192a95693646d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">FWHM per Sigma, 2.0*sqrt(2.0*log(2.0))  <a href="#ga66d7e78219461bc110192a95693646d4">More...</a><br /></td></tr>
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<tr class="memdesc:gabff44234ae5191a73b15e7a48810aaf6"><td class="mdescLeft">&#160;</td><td class="mdescRight">The natural logarithm of 10.  <a href="#gabff44234ae5191a73b15e7a48810aaf6">More...</a><br /></td></tr>
<tr class="separator:gabff44234ae5191a73b15e7a48810aaf6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:ga6379b4e90a0d8af20857bfe28445ba55"><td class="mdescLeft">&#160;</td><td class="mdescRight">The natural logarithm of 2.  <a href="#ga6379b4e90a0d8af20857bfe28445ba55">More...</a><br /></td></tr>
<tr class="separator:ga6379b4e90a0d8af20857bfe28445ba55"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:ga0083a8c0413bbc6fac2c488034cd7103"><td class="mdescLeft">&#160;</td><td class="mdescRight">log10(e)  <a href="#ga0083a8c0413bbc6fac2c488034cd7103">More...</a><br /></td></tr>
<tr class="separator:ga0083a8c0413bbc6fac2c488034cd7103"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga80708fa92096a5c84affa32ba3351df2"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga80708fa92096a5c84affa32ba3351df2">CPL_MATH_LOG2E</a>&#160;&#160;&#160;1.4426950408889634073599246810018921374266459541529859</td></tr>
<tr class="memdesc:ga80708fa92096a5c84affa32ba3351df2"><td class="mdescLeft">&#160;</td><td class="mdescRight">log2(e)  <a href="#ga80708fa92096a5c84affa32ba3351df2">More...</a><br /></td></tr>
<tr class="separator:ga80708fa92096a5c84affa32ba3351df2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga693e36bf813ed28fde52cb970093aada"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada">CPL_MATH_PI</a>&#160;&#160;&#160;3.1415926535897932384626433832795028841971693993751058</td></tr>
<tr class="memdesc:ga693e36bf813ed28fde52cb970093aada"><td class="mdescLeft">&#160;</td><td class="mdescRight">The ratio of a circles circumference to its diameter.  <a href="#ga693e36bf813ed28fde52cb970093aada">More...</a><br /></td></tr>
<tr class="separator:ga693e36bf813ed28fde52cb970093aada"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gafb5b521d6d1302e97160fb917fa33a17"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#gafb5b521d6d1302e97160fb917fa33a17">CPL_MATH_PI_2</a>&#160;&#160;&#160;1.5707963267948966192313216916397514420985846996875529</td></tr>
<tr class="memdesc:gafb5b521d6d1302e97160fb917fa33a17"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/2  <a href="#gafb5b521d6d1302e97160fb917fa33a17">More...</a><br /></td></tr>
<tr class="separator:gafb5b521d6d1302e97160fb917fa33a17"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga752d14efbdb2c17cc76260e227aeb249"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga752d14efbdb2c17cc76260e227aeb249">CPL_MATH_PI_4</a>&#160;&#160;&#160;0.7853981633974483096156608458198757210492923498437765</td></tr>
<tr class="memdesc:ga752d14efbdb2c17cc76260e227aeb249"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/4  <a href="#ga752d14efbdb2c17cc76260e227aeb249">More...</a><br /></td></tr>
<tr class="separator:ga752d14efbdb2c17cc76260e227aeb249"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga28bb799e83ac26186e9f6693947f4020"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga28bb799e83ac26186e9f6693947f4020">CPL_MATH_RAD_DEG</a>&#160;&#160;&#160;0.0174532925199432957692369076848861271344287188854173</td></tr>
<tr class="memdesc:ga28bb799e83ac26186e9f6693947f4020"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/180  <a href="#ga28bb799e83ac26186e9f6693947f4020">More...</a><br /></td></tr>
<tr class="separator:ga28bb799e83ac26186e9f6693947f4020"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga58128239d17e3ee3a3a0c0a00707f395"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga58128239d17e3ee3a3a0c0a00707f395">CPL_MATH_SIG_FWHM</a>&#160;&#160;&#160;0.4246609001440095213607514170514448098575705468921770</td></tr>
<tr class="memdesc:ga58128239d17e3ee3a3a0c0a00707f395"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sigma per FWHM, 0.5/sqrt(2.0*log(2.0))  <a href="#ga58128239d17e3ee3a3a0c0a00707f395">More...</a><br /></td></tr>
<tr class="separator:ga58128239d17e3ee3a3a0c0a00707f395"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga278af07206b9aade0c0aa6ee103c8672"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga278af07206b9aade0c0aa6ee103c8672">CPL_MATH_SQRT1_2</a>&#160;&#160;&#160;0.7071067811865475244008443621048490392848359376884740</td></tr>
<tr class="memdesc:ga278af07206b9aade0c0aa6ee103c8672"><td class="mdescLeft">&#160;</td><td class="mdescRight">sqrt(1/2)  <a href="#ga278af07206b9aade0c0aa6ee103c8672">More...</a><br /></td></tr>
<tr class="separator:ga278af07206b9aade0c0aa6ee103c8672"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga665fccd0bb180446ee03989cc5a38713"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga665fccd0bb180446ee03989cc5a38713">CPL_MATH_SQRT2</a>&#160;&#160;&#160;1.4142135623730950488016887242096980785696718753769481</td></tr>
<tr class="memdesc:ga665fccd0bb180446ee03989cc5a38713"><td class="mdescLeft">&#160;</td><td class="mdescRight">The square root of 2.  <a href="#ga665fccd0bb180446ee03989cc5a38713">More...</a><br /></td></tr>
<tr class="separator:ga665fccd0bb180446ee03989cc5a38713"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga8551f9443683d47d061660aef5256bc1"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga8551f9443683d47d061660aef5256bc1">CPL_MATH_SQRT2PI</a>&#160;&#160;&#160;2.5066282746310005024157652848110452530069867406099383</td></tr>
<tr class="memdesc:ga8551f9443683d47d061660aef5256bc1"><td class="mdescLeft">&#160;</td><td class="mdescRight">sqrt(2pi)  <a href="#ga8551f9443683d47d061660aef5256bc1">More...</a><br /></td></tr>
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<tr class="memitem:ga9cd7c501c03cfc99be078ab5b87a3963"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga9cd7c501c03cfc99be078ab5b87a3963">CPL_MATH_SQRT3</a>&#160;&#160;&#160;1.7320508075688772935274463415058723669428052538103806</td></tr>
<tr class="memdesc:ga9cd7c501c03cfc99be078ab5b87a3963"><td class="mdescLeft">&#160;</td><td class="mdescRight">The square root of 3.  <a href="#ga9cd7c501c03cfc99be078ab5b87a3963">More...</a><br /></td></tr>
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<tr class="memitem:gac6efb182fad8558ee4ae6ffa513b6ec8"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#gac6efb182fad8558ee4ae6ffa513b6ec8">CPL_MATH_STD_MAD</a>&#160;&#160;&#160;1.4826</td></tr>
<tr class="memdesc:gac6efb182fad8558ee4ae6ffa513b6ec8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Standard deviation per Median Absolute Deviation for Gaussian data.  <a href="#gac6efb182fad8558ee4ae6ffa513b6ec8">More...</a><br /></td></tr>
<tr class="separator:gac6efb182fad8558ee4ae6ffa513b6ec8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga31152248f480821fd0e4b819477ed9e5"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga31152248f480821fd0e4b819477ed9e5">CPL_MAX</a>(first,  second)                                </td></tr>
<tr class="memdesc:ga31152248f480821fd0e4b819477ed9e5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the maximum of two values.  <a href="#ga31152248f480821fd0e4b819477ed9e5">More...</a><br /></td></tr>
<tr class="separator:ga31152248f480821fd0e4b819477ed9e5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga405f73997cdbe97506595b966ccfb05e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cpl__math.html#ga405f73997cdbe97506595b966ccfb05e">CPL_MIN</a>(first,  second)                                                                                </td></tr>
<tr class="memdesc:ga405f73997cdbe97506595b966ccfb05e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the minimum of two values.  <a href="#ga405f73997cdbe97506595b966ccfb05e">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>This module provides fundamental math constants.</p>
<p>Source: On-Line Encyclopedia of Integer Sequences (OEIS)</p>
<p>pi: <a href="http://www.research.att.com/~njas/sequences/A000796">http://www.research.att.com/~njas/sequences/A000796</a></p>
<p>e: <a href="http://www.research.att.com/~njas/sequences/A001113">http://www.research.att.com/~njas/sequences/A001113</a></p>
<p>ln(2): <a href="http://www.research.att.com/~njas/sequences/A002162">http://www.research.att.com/~njas/sequences/A002162</a></p>
<p>ln(10): <a href="http://www.research.att.com/~njas/sequences/A002392">http://www.research.att.com/~njas/sequences/A002392</a></p>
<p>sqrt(2): <a href="http://www.research.att.com/~njas/sequences/A002193">http://www.research.att.com/~njas/sequences/A002193</a></p>
<p>sqrt(3): <a href="http://www.research.att.com/~njas/sequences/A002194">http://www.research.att.com/~njas/sequences/A002194</a></p>
<p>The derived constants have been computed with the GNU Multiple-Precision Library v. 4.2.2.</p>
<p>The constants are listed with a precision that allows a one-line definition.</p>
<dl class="section user"><dt>Synopsis:</dt><dd><div class="fragment"><div class="line"><span class="preprocessor">#include &lt;cpl_math_const.h&gt;</span></div>
</div><!-- fragment --> </dd></dl>
<h2 class="groupheader">Macro Definition Documentation</h2>
<a class="anchor" id="gacafb846ee84607ea646b6ba9b44d4012"></a>
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          <td class="memname">#define CPL_MATH_1_PI&#160;&#160;&#160;0.3183098861837906715377675267450287240689192914809129</td>
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<p>1/pi </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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<a class="anchor" id="ga1e0bbd5283d8facb2e793a885bd33d11"></a>
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          <td class="memname">#define CPL_MATH_2_PI&#160;&#160;&#160;0.6366197723675813430755350534900574481378385829618258</td>
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<p>2/pi </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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</div>
<a class="anchor" id="ga7e9d3b05fe6db570ee56dff5055fb72e"></a>
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          <td class="memname">#define CPL_MATH_2_SQRTPI&#160;&#160;&#160;1.1283791670955125738961589031215451716881012586579977</td>
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<p>2/sqrt(pi) </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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</div>
<a class="anchor" id="ga23ffb14de01e3e1a5392d5f7c11a686f"></a>
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          <td class="memname">#define CPL_MATH_2PI&#160;&#160;&#160;6.2831853071795864769252867665590057683943387987502116</td>
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<p>2 pi </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

<p>Referenced by <a class="el" href="group__cpl__fit.html#ga8004d897c449d503c56f14ca99cf475b">cpl_fit_image_gaussian()</a>, <a class="el" href="group__cpl__fit.html#ga64cafc2831f6064c34d126ef17397087">cpl_gaussian_eval_2d()</a>, <a class="el" href="group__cpl__image.html#ga3cee6b4b3544f5e44d246d31731fedc9">cpl_image_fit_gaussian()</a>, and <a class="el" href="group__cpl__photom.html#ga855a9bb0daf182d26d62cc0d89dbf4f8">cpl_photom_fill_blackbody()</a>.</p>

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</div>
<a class="anchor" id="ga2607812956998f5b967a7b7c3c6e537e"></a>
<div class="memitem">
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          <td class="memname">#define CPL_MATH_4_PI&#160;&#160;&#160;1.2732395447351626861510701069801148962756771659236516</td>
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<p>4/pi </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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<a class="anchor" id="ga3f1aef1f3bb06fa03ff7f68cde9ec14b"></a>
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          <td class="memname">#define CPL_MATH_DEG_RAD&#160;&#160;&#160;57.295779513082320876798154814105170332405472466564322</td>
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<p>180/pi </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

<p>Referenced by <a class="el" href="group__cpl__ppm.html#gaccab8c3f2de716c28f89244d4054dd3d">cpl_ppm_match_points()</a>.</p>

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<a class="anchor" id="gac626eab01ea25ca14dee3fed1c07c719"></a>
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          <td class="memname">#define CPL_MATH_E&#160;&#160;&#160;2.7182818284590452353602874713526624977572470936999595</td>
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<p>The base of the exponential function. </p>
<dl class="section see"><dt>See also</dt><dd>On-Line Encyclopedia of Integer Sequences (OEIS), <a href="http://www.research.att.com/~njas/sequences/A001113">http://www.research.att.com/~njas/sequences/A001113</a> </dd></dl>

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<a class="anchor" id="ga66d7e78219461bc110192a95693646d4"></a>
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          <td class="memname">#define CPL_MATH_FWHM_SIG&#160;&#160;&#160;2.3548200450309493820231386529193992754947713787716411</td>
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<p>FWHM per Sigma, 2.0*sqrt(2.0*log(2.0)) </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga6379b4e90a0d8af20857bfe28445ba55" title="The natural logarithm of 2. ">CPL_MATH_LN2</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

<p>Referenced by <a class="el" href="group__cpl__image.html#ga3cee6b4b3544f5e44d246d31731fedc9">cpl_image_fit_gaussian()</a>.</p>

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<a class="anchor" id="gabff44234ae5191a73b15e7a48810aaf6"></a>
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          <td class="memname">#define CPL_MATH_LN10&#160;&#160;&#160;2.3025850929940456840179914546843642076011014886287730</td>
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<p>The natural logarithm of 10. </p>
<dl class="section see"><dt>See also</dt><dd>On-Line Encyclopedia of Integer Sequences (OEIS), <a href="http://www.research.att.com/~njas/sequences/A002392">http://www.research.att.com/~njas/sequences/A002392</a> </dd></dl>

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<a class="anchor" id="ga6379b4e90a0d8af20857bfe28445ba55"></a>
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          <td class="memname">#define CPL_MATH_LN2&#160;&#160;&#160;0.6931471805599453094172321214581765680755001343602553</td>
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<p>The natural logarithm of 2. </p>
<dl class="section see"><dt>See also</dt><dd>On-Line Encyclopedia of Integer Sequences (OEIS), <a href="http://www.research.att.com/~njas/sequences/A002162">http://www.research.att.com/~njas/sequences/A002162</a> </dd></dl>

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<a class="anchor" id="ga0083a8c0413bbc6fac2c488034cd7103"></a>
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          <td class="memname">#define CPL_MATH_LOG10E&#160;&#160;&#160;0.4342944819032518276511289189166050822943970058036666</td>
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<p>log10(e) </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#gabff44234ae5191a73b15e7a48810aaf6" title="The natural logarithm of 10. ">CPL_MATH_LN10</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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<a class="anchor" id="ga80708fa92096a5c84affa32ba3351df2"></a>
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          <td class="memname">#define CPL_MATH_LOG2E&#160;&#160;&#160;1.4426950408889634073599246810018921374266459541529859</td>
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<p>log2(e) </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga6379b4e90a0d8af20857bfe28445ba55" title="The natural logarithm of 2. ">CPL_MATH_LN2</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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<a class="anchor" id="ga693e36bf813ed28fde52cb970093aada"></a>
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          <td class="memname">#define CPL_MATH_PI&#160;&#160;&#160;3.1415926535897932384626433832795028841971693993751058</td>
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<p>The ratio of a circles circumference to its diameter. </p>
<dl class="section see"><dt>See also</dt><dd>On-Line Encyclopedia of Integer Sequences (OEIS), <a href="http://www.research.att.com/~njas/sequences/A000796">http://www.research.att.com/~njas/sequences/A000796</a> </dd></dl>

<p>Referenced by <a class="el" href="group__cpl__photom.html#ga855a9bb0daf182d26d62cc0d89dbf4f8">cpl_photom_fill_blackbody()</a>.</p>

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<a class="anchor" id="gafb5b521d6d1302e97160fb917fa33a17"></a>
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          <td class="memname">#define CPL_MATH_PI_2&#160;&#160;&#160;1.5707963267948966192313216916397514420985846996875529</td>
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<p>pi/2 </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

<p>Referenced by <a class="el" href="group__cpl__fit.html#ga8004d897c449d503c56f14ca99cf475b">cpl_fit_image_gaussian()</a>.</p>

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<a class="anchor" id="ga752d14efbdb2c17cc76260e227aeb249"></a>
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          <td class="memname">#define CPL_MATH_PI_4&#160;&#160;&#160;0.7853981633974483096156608458198757210492923498437765</td>
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<p>pi/4 </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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<a class="anchor" id="ga28bb799e83ac26186e9f6693947f4020"></a>
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          <td class="memname">#define CPL_MATH_RAD_DEG&#160;&#160;&#160;0.0174532925199432957692369076848861271344287188854173</td>
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<p>pi/180 </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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<a class="anchor" id="ga58128239d17e3ee3a3a0c0a00707f395"></a>
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          <td class="memname">#define CPL_MATH_SIG_FWHM&#160;&#160;&#160;0.4246609001440095213607514170514448098575705468921770</td>
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<p>Sigma per FWHM, 0.5/sqrt(2.0*log(2.0)) </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga6379b4e90a0d8af20857bfe28445ba55" title="The natural logarithm of 2. ">CPL_MATH_LN2</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

<p>Referenced by <a class="el" href="group__cpl__vector.html#ga2af178dafc367240a6dd0b4a2c2d02bf">cpl_vector_new_lss_kernel()</a>.</p>

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<a class="anchor" id="ga278af07206b9aade0c0aa6ee103c8672"></a>
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          <td class="memname">#define CPL_MATH_SQRT1_2&#160;&#160;&#160;0.7071067811865475244008443621048490392848359376884740</td>
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<p>sqrt(1/2) </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga665fccd0bb180446ee03989cc5a38713" title="The square root of 2. ">CPL_MATH_SQRT2</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

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<a class="anchor" id="ga665fccd0bb180446ee03989cc5a38713"></a>
<div class="memitem">
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          <td class="memname">#define CPL_MATH_SQRT2&#160;&#160;&#160;1.4142135623730950488016887242096980785696718753769481</td>
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<p>The square root of 2. </p>
<dl class="section see"><dt>See also</dt><dd>On-Line Encyclopedia of Integer Sequences (OEIS), <a href="http://www.research.att.com/~njas/sequences/A002193">http://www.research.att.com/~njas/sequences/A002193</a> </dd></dl>

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          <td class="memname">#define CPL_MATH_SQRT2PI&#160;&#160;&#160;2.5066282746310005024157652848110452530069867406099383</td>
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<p>sqrt(2pi) </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga693e36bf813ed28fde52cb970093aada" title="The ratio of a circles circumference to its diameter. ">CPL_MATH_PI</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Derived from a fundamental constant </dd></dl>

<p>Referenced by <a class="el" href="group__cpl__vector.html#ga259d9cfaef8142491926c5e9b1f18109">cpl_vector_fit_gaussian()</a>.</p>

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<a class="anchor" id="ga9cd7c501c03cfc99be078ab5b87a3963"></a>
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          <td class="memname">#define CPL_MATH_SQRT3&#160;&#160;&#160;1.7320508075688772935274463415058723669428052538103806</td>
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<p>The square root of 3. </p>
<dl class="section see"><dt>See also</dt><dd>On-Line Encyclopedia of Integer Sequences (OEIS), <a href="http://www.research.att.com/~njas/sequences/A002194">http://www.research.att.com/~njas/sequences/A002194</a> </dd></dl>

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          <td class="memname">#define CPL_MATH_STD_MAD&#160;&#160;&#160;1.4826</td>
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<p>Standard deviation per Median Absolute Deviation for Gaussian data. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__image.html#gaa28d60432aa6fcca80f2c5ae4e5f5aa3" title="Computes median and median absolute deviation (MAD) on an image window. ">cpl_image_get_mad_window()</a></dd></dl>
<p>For a Gaussian distribution the Median Absolute Deviation (MAD) is a robust and consistent estimate of the Standard Deviation (STD) in the sense that the STD is approximately K * MAD, where K is a constant equal to approximately 1.4826. </p>

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          <td class="memname">#define CPL_MAX</td>
          <td>(</td>
          <td class="paramtype">&#160;</td>
          <td class="paramname">first, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">&#160;</td>
          <td class="paramname">second&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
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<p>Return the maximum of two values. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">first</td><td>The first expression in the comparison </td></tr>
    <tr><td class="paramname">second</td><td>The second expression in the comparison </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The maximum of the two values </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group__cpl__math.html#ga405f73997cdbe97506595b966ccfb05e" title="Return the minimum of two values. ">CPL_MIN()</a> </dd></dl>

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          <td class="memname">#define CPL_MIN</td>
          <td>(</td>
          <td class="paramtype">&#160;</td>
          <td class="paramname">first, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">&#160;</td>
          <td class="paramname">second&#160;</td>
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          <td></td>
          <td>)</td>
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<p>Return the minimum of two values. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">first</td><td>The first expression in the comparison </td></tr>
    <tr><td class="paramname">second</td><td>The second expression in the comparison </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The minimum of the two values </dd></dl>
<dl class="section note"><dt>Note</dt><dd>If the first argument is the smallest then it is evaluated twice otherwise the second argument is evaluated twice </dd></dl>

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