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<div class="subTitle">healpix.essentials</div>
<h2 title="Class HealpixUtils" class="title">Class HealpixUtils</h2>
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<pre>public class <span class="typeNameLabel">HealpixUtils</span>
extends <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
<div class="block">Collection of utility functions.</div>
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<td class="colOne"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#HealpixUtils--">HealpixUtils</a></span>()</code>&nbsp;</td>
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<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#approx-double-double-double-">approx</a></span>(double&nbsp;a,
      double&nbsp;b,
      double&nbsp;epsilon)</code>&nbsp;</td>
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<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#approx-float-float-float-">approx</a></span>(float&nbsp;a,
      float&nbsp;b,
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<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#check-boolean-java.lang.String-">check</a></span>(boolean&nbsp;cond,
     <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;errtxt)</code>
<div class="block">Evaluates cond; if it is false, throws an Exception containing errtxt.</div>
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<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#cosdist_zphi-double-double-double-double-">cosdist_zphi</a></span>(double&nbsp;z1,
            double&nbsp;phi1,
            double&nbsp;z2,
            double&nbsp;phi2)</code>
<div class="block">Computes the cosine of the angular distance between two z, phi positions
      on the unit sphere.</div>
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<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#cosdist_zphi-healpix.essentials.Zphi-healpix.essentials.Zphi-">cosdist_zphi</a></span>(<a href="../../healpix/essentials/Zphi.html" title="class in healpix.essentials">Zphi</a>&nbsp;zp1,
            <a href="../../healpix/essentials/Zphi.html" title="class in healpix.essentials">Zphi</a>&nbsp;zp2)</code>
<div class="block">Computes the cosine of the angular distance between two z, phi positions
      on the unit sphere.</div>
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<tr id="i5" class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#fmodulo-double-double-">fmodulo</a></span>(double&nbsp;v1,
       double&nbsp;v2)</code>
<div class="block">Returns the remainder of the division <code>v1/v2</code>.</div>
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<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#ilog2-long-">ilog2</a></span>(long&nbsp;arg)</code>
<div class="block">Integer base 2 logarithm.</div>
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<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#isqrt-long-">isqrt</a></span>(long&nbsp;arg)</code>
<div class="block">Integer square root.</div>
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<tr id="i8" class="altColor">
<td class="colFirst"><code>static long</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#nest2peano-long-int-">nest2peano</a></span>(long&nbsp;pix,
          int&nbsp;order)</code>&nbsp;</td>
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<tr id="i9" class="rowColor">
<td class="colFirst"><code>static long</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#peano2nest-long-int-">peano2nest</a></span>(long&nbsp;pix,
          int&nbsp;order)</code>&nbsp;</td>
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<tr id="i10" class="altColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../healpix/essentials/HealpixUtils.html#uniq2order-long-">uniq2order</a></span>(long&nbsp;uniq)</code>&nbsp;</td>
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<pre>public&nbsp;HealpixUtils()</pre>
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<h4>check</h4>
<pre>public static&nbsp;void&nbsp;check(boolean&nbsp;cond,
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                  throws <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Exception.html?is-external=true" title="class or interface in java.lang">Exception</a></pre>
<div class="block">Evaluates cond; if it is false, throws an Exception containing errtxt.</div>
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<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="/usr/share/doc/default-jdk-doc/api/java/lang/Exception.html?is-external=true" title="class or interface in java.lang">Exception</a></code></dd>
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<pre>public static&nbsp;int&nbsp;ilog2(long&nbsp;arg)</pre>
<div class="block">Integer base 2 logarithm.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>arg</code> - </dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the largest integer <code>n</code> that fulfills <code>2^n&lt;=arg</code>.
      For negative arguments and zero, 0 is returned.</dd>
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<h4>isqrt</h4>
<pre>public static&nbsp;int&nbsp;isqrt(long&nbsp;arg)</pre>
<div class="block">Integer square root.</div>
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<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>arg</code> - </dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the integer <code>n</code> which fulfills <code>n^2&lt;=arg&lt;(n+1)^2</code></dd>
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<pre>public static&nbsp;double&nbsp;cosdist_zphi(double&nbsp;z1,
                                  double&nbsp;phi1,
                                  double&nbsp;z2,
                                  double&nbsp;phi2)</pre>
<div class="block">Computes the cosine of the angular distance between two z, phi positions
      on the unit sphere.</div>
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<h4>cosdist_zphi</h4>
<pre>public static&nbsp;double&nbsp;cosdist_zphi(<a href="../../healpix/essentials/Zphi.html" title="class in healpix.essentials">Zphi</a>&nbsp;zp1,
                                  <a href="../../healpix/essentials/Zphi.html" title="class in healpix.essentials">Zphi</a>&nbsp;zp2)</pre>
<div class="block">Computes the cosine of the angular distance between two z, phi positions
      on the unit sphere.</div>
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<h4>fmodulo</h4>
<pre>public static&nbsp;double&nbsp;fmodulo(double&nbsp;v1,
                             double&nbsp;v2)</pre>
<div class="block">Returns the remainder of the division <code>v1/v2</code>.
      The result is non-negative.</div>
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<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>v1</code> - dividend; can be positive or negative</dd>
<dd><code>v2</code> - divisor; must be positive</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>remainder of the division; positive and smaller than <code>v2</code></dd>
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<h4>approx</h4>
<pre>public static&nbsp;boolean&nbsp;approx(float&nbsp;a,
                             float&nbsp;b,
                             float&nbsp;epsilon)</pre>
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<pre>public static&nbsp;boolean&nbsp;approx(double&nbsp;a,
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                             double&nbsp;epsilon)</pre>
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<pre>public static&nbsp;int&nbsp;uniq2order(long&nbsp;uniq)</pre>
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<pre>public static&nbsp;long&nbsp;nest2peano(long&nbsp;pix,
                              int&nbsp;order)</pre>
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<pre>public static&nbsp;long&nbsp;peano2nest(long&nbsp;pix,
                              int&nbsp;order)</pre>
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