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 <div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.datasketches.quantilescommon</a></div>
 <h2 title="Class QuantilesUtil" class="title">Class QuantilesUtil</h2>
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 <pre>public final class <span class="typeNameLabel">QuantilesUtil</span>
 extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang" class="externalLink">Object</a></pre>
 <div class="block">Utilities for the quantiles sketches.</div>
 <dl>
 <dt><span class="simpleTagLabel">Author:</span></dt>
 <dd>Lee Rhodes</dd>
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 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#THROWS_EMPTY">THROWS_EMPTY</a></span></code></th>
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 <td class="colFirst"><code>static void</code></td>
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 <div class="block">Checks the sequential validity of the given array of double values.</div>
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 <td class="colFirst"><code>static void</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#checkFloatsSplitPointsOrder(float%5B%5D)">checkFloatsSplitPointsOrder</a></span>&#8203;(float[]&nbsp;values)</code></th>
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 <div class="block">Checks the sequential validity of the given array of float values.</div>
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 <td class="colFirst"><code>static void</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#checkNormalizedRankBounds(double)">checkNormalizedRankBounds</a></span>&#8203;(double&nbsp;nRank)</code></th>
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 <div class="block">Checks that the given normalized rank: <i>0 &le; nRank &le; 1.0</i>.</div>
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 <td class="colFirst"><code>static double[]</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#equallyWeightedRanks(int)">equallyWeightedRanks</a></span>&#8203;(int&nbsp;num)</code></th>
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 <td class="colFirst"><code>static double[]</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#evenlyLogSpaced(double,double,int)">evenlyLogSpaced</a></span>&#8203;(double&nbsp;value1,
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                int&nbsp;num)</code></th>
 <td class="colLast">
 <div class="block">Returns a double array of values between min and max inclusive where the log of the
  returned values are evenly spaced.</div>
 </td>
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 <tr id="i5" class="rowColor">
 <td class="colFirst"><code>static double[]</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#evenlySpacedDoubles(double,double,int)">evenlySpacedDoubles</a></span>&#8203;(double&nbsp;value1,
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                    int&nbsp;num)</code></th>
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 <div class="block">Returns a double array of evenly spaced values between value1, inclusive, and value2 inclusive.</div>
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 <td class="colFirst"><code>static float[]</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#evenlySpacedFloats(float,float,int)">evenlySpacedFloats</a></span>&#8203;(float&nbsp;value1,
                   float&nbsp;value2,
                   int&nbsp;num)</code></th>
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 <pre class="methodSignature">public static final&nbsp;void&nbsp;checkNormalizedRankBounds&#8203;(double&nbsp;nRank)</pre>
 <div class="block">Checks that the given normalized rank: <i>0 &le; nRank &le; 1.0</i>.</div>
 <dl>
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 <pre class="methodSignature">public static final&nbsp;void&nbsp;checkDoublesSplitPointsOrder&#8203;(double[]&nbsp;values)</pre>
 <div class="block">Checks the sequential validity of the given array of double values.
  They must be unique, monotonically increasing and not NaN.</div>
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 <pre class="methodSignature">public static final&nbsp;void&nbsp;checkFloatsSplitPointsOrder&#8203;(float[]&nbsp;values)</pre>
 <div class="block">Checks the sequential validity of the given array of float values.
  They must be unique, monotonically increasing and not NaN.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
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 <pre class="methodSignature">public static&nbsp;double[]&nbsp;equallyWeightedRanks&#8203;(int&nbsp;num)</pre>
 <div class="block">Returns a double array of ranks that defines equally weighted regions between 0.0, inclusive and 1.0, inclusive.
  The 0.0 and 1.0 end points are part of the returned array and are the getMinItem() and getMaxItem() values of the
  sketch.
  For example, if num == 2, three values will be returned: 0.0, .5, and 1, where the two equally weighted regions are
  0.0 to 0.5, and 0.5 to 1.0.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>num</code> - the total number of equally weighted regions between 0.0 and 1.0 defined by the ranks in the returned
  array.  <i>num</i> must be 1 or greater.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>a double array of <i>num + 1</i> ranks that define the boundaries of <i>num</i> equally weighted
  regions between 0.0, inclusive and 1.0, inclusive.</dd>
 <dt><span class="throwsLabel">Throws:</span></dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">IllegalArgumentException</a></code> - if <i>num</i> is less than 1.</dd>
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 <h4>evenlySpacedFloats</h4>
 <pre class="methodSignature">public static&nbsp;float[]&nbsp;evenlySpacedFloats&#8203;(float&nbsp;value1,
                                          float&nbsp;value2,
                                          int&nbsp;num)</pre>
 <div class="block">Returns a float array of evenly spaced values between value1, inclusive, and value2 inclusive.
  If value2 &gt; value1, the resulting sequence will be increasing.
  If value2 &lt; value1, the resulting sequence will be decreasing.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>value1</code> - will be in index 0 of the returned array</dd>
 <dd><code>value2</code> - will be in the highest index of the returned array</dd>
 <dd><code>num</code> - the total number of values including value1 and value2. Must be 2 or greater.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>a float array of evenly spaced values between value1, inclusive, and value2 inclusive.</dd>
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 <pre class="methodSignature">public static&nbsp;double[]&nbsp;evenlySpacedDoubles&#8203;(double&nbsp;value1,
                                            double&nbsp;value2,
                                            int&nbsp;num)</pre>
 <div class="block">Returns a double array of evenly spaced values between value1, inclusive, and value2 inclusive.
  If value2 &gt; value1, the resulting sequence will be increasing.
  If value2 &lt; value1, the resulting sequence will be decreasing.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>value1</code> - will be in index 0 of the returned array</dd>
 <dd><code>value2</code> - will be in the highest index of the returned array</dd>
 <dd><code>num</code> - the total number of values including value1 and value2. Must be 2 or greater.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>a float array of evenly spaced values between value1, inclusive, and value2 inclusive.</dd>
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 <h4>evenlyLogSpaced</h4>
 <pre class="methodSignature">public static&nbsp;double[]&nbsp;evenlyLogSpaced&#8203;(double&nbsp;value1,
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                                        int&nbsp;num)</pre>
 <div class="block">Returns a double array of values between min and max inclusive where the log of the
  returned values are evenly spaced.
  If value2 &gt; value1, the resulting sequence will be increasing.
  If value2 &lt; value1, the resulting sequence will be decreasing.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>value1</code> - will be in index 0 of the returned array, and must be greater than zero.</dd>
 <dd><code>value2</code> - will be in the highest index of the returned array, and must be greater than zero.</dd>
 <dd><code>num</code> - the total number of values including value1 and value2. Must be 2 or greater</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>a double array of exponentially spaced values between value1 and value2 inclusive.</dd>
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