Improve partition boundaries

src/main/java/org/apache/datasketches/partitions/BoundsRule.java

@@ -33,5 +33,10 @@ public enum BoundsRule {
   /**
    * Include only the lower bound but not the upper bound
    */
-  INCLUDE_LOWER
+  INCLUDE_LOWER,
+  /**
+   * Include none
+   */
+  INCLUDE_NEITHER;
+
 }

src/main/java/org/apache/datasketches/partitions/Partitioner.java

@@ -26,6 +26,10 @@
 import static java.lang.Math.pow;
 import static java.lang.Math.round;
 import static java.util.Collections.unmodifiableList;
+import static org.apache.datasketches.partitions.BoundsRule.INCLUDE_BOTH;
+import static org.apache.datasketches.partitions.BoundsRule.INCLUDE_LOWER;
+import static org.apache.datasketches.partitions.BoundsRule.INCLUDE_NEITHER;
+import static org.apache.datasketches.partitions.BoundsRule.INCLUDE_UPPER;
 import static org.apache.datasketches.quantilescommon.QuantileSearchCriteria.INCLUSIVE;
 import static org.apache.datasketches.quantilescommon.QuantilesAPI.EMPTY_MSG;
 
@@ -184,33 +188,35 @@ public static class PartitionBoundsRow<T> {
 
     public PartitionBoundsRow(final StackElement<T> se) {
       final GenericPartitionBoundaries<T> gpb = se.gpb;
-      this.part = se.part;
-      this.levelPartId = se.levelPartId + "." + part;
       final QuantileSearchCriteria searchCrit = gpb.getSearchCriteria();
       final T[] boundaries = gpb.getBoundaries();
       final int numParts = gpb.getNumPartitions();
+      this.part = se.part;
+      this.levelPartId = se.levelPartId + "." + part;
+      final long num;
+      this.approxNumDeltaItems = num = gpb.getNumDeltaItems()[part];
       if (searchCrit == INCLUSIVE) {
         if (part == 1) {
           lowerBound = gpb.getMinItem();
           upperBound = boundaries[part];
-          rule = BoundsRule.INCLUDE_BOTH;
+          rule = (num == 0) ? INCLUDE_NEITHER : (lowerBound == upperBound) ? INCLUDE_UPPER : INCLUDE_BOTH;
         } else {
           lowerBound = boundaries[part - 1];
           upperBound = boundaries[part];
-          rule = BoundsRule.INCLUDE_UPPER;
+          rule = (num == 0) ? INCLUDE_NEITHER : INCLUDE_UPPER;
         }
-      } else { //EXCLUSIVE
+      }
+      else { //EXCLUSIVE
         if (part == numParts) {
           lowerBound = boundaries[part - 1];
           upperBound = gpb.getMaxItem();
-          rule = BoundsRule.INCLUDE_BOTH;
+          rule = (num == 0) ? INCLUDE_NEITHER : (lowerBound == upperBound) ? INCLUDE_LOWER : INCLUDE_BOTH;
         } else {
           lowerBound = boundaries[part - 1];
           upperBound = boundaries[part];
-          rule = BoundsRule.INCLUDE_LOWER;
+          rule = (num == 0) ? INCLUDE_NEITHER : INCLUDE_LOWER;
         }
       }
-      approxNumDeltaItems = gpb.getNumDeltaItems()[part];
     }
   }
 

src/main/java/org/apache/datasketches/quantiles/ItemsSketchSortedView.java

@@ -19,6 +19,7 @@
 
 package org.apache.datasketches.quantiles;
 
+import static org.apache.datasketches.quantiles.ClassicUtil.getNormalizedRankError;
 import static org.apache.datasketches.quantilescommon.GenericInequalitySearch.find;
 import static org.apache.datasketches.quantilescommon.QuantileSearchCriteria.INCLUSIVE;
 import static org.apache.datasketches.quantilescommon.QuantilesAPI.EMPTY_MSG;
@@ -55,6 +56,7 @@ public class ItemsSketchSortedView<T> implements GenericSortedView<T>, Partition
   private final T maxItem;
   private final T minItem;
   private final Class<T> clazz;
+  private final int k;
 
   /**
    * Construct from elements for testing.
@@ -70,14 +72,16 @@ public class ItemsSketchSortedView<T> implements GenericSortedView<T>, Partition
       final long totalN,
       final Comparator<T> comparator,
       final T maxItem,
-      final T minItem) {
+      final T minItem,
+      final int k) {
     this.quantiles = quantiles;
     this.cumWeights = cumWeights;
     this.totalN = totalN;
     this.comparator = comparator;
     this.maxItem = maxItem;
     this.minItem = minItem;
     this.clazz = (Class<T>)quantiles[0].getClass();
+    this.k = k;
   }
 
   /**
@@ -88,14 +92,14 @@ public class ItemsSketchSortedView<T> implements GenericSortedView<T>, Partition
   ItemsSketchSortedView(final ItemsSketch<T> sketch) {
     if (sketch.isEmpty()) { throw new SketchesArgumentException(EMPTY_MSG); }
     this.totalN = sketch.getN();
-    final int k = sketch.getK();
     final int numQuantiles = sketch.getNumRetained();
     this.quantiles = (T[]) Array.newInstance(sketch.clazz, numQuantiles);
     this.minItem = sketch.minItem_;
     this.maxItem = sketch.maxItem_;
-    cumWeights = new long[numQuantiles];
-    comparator = sketch.getComparator();
-    clazz = sketch.clazz;
+    this.cumWeights = new long[numQuantiles];
+    this.comparator = sketch.getComparator();
+    this.clazz = sketch.clazz;
+    this.k = sketch.getK();
 
     final Object[] combinedBuffer = sketch.getCombinedBuffer();
     final int baseBufferCount = sketch.getBaseBufferCount();
@@ -155,27 +159,68 @@ public GenericPartitionBoundaries<T> getPartitionBoundaries(final int numEqually
       final QuantileSearchCriteria searchCrit) {
     if (isEmpty()) { throw new IllegalArgumentException(QuantilesAPI.EMPTY_MSG); }
     final long totalN = this.totalN;
+    final double delta = getNormalizedRankError(k, true) * totalN;
+    final int maxParts = (int) (totalN / Math.ceil(delta * 2) );
     final int svLen = cumWeights.length;
-    //adjust ends of sortedView arrays
-    cumWeights[0] = 1L;
-    cumWeights[svLen - 1] = totalN;
-    quantiles[0] = this.getMinItem();
-    quantiles[svLen - 1] = this.getMaxItem();
-
-    final double[] evSpNormRanks = evenlySpacedDoubles(0, 1.0, numEquallySized + 1);
-    final int len = evSpNormRanks.length;
-    final T[] evSpQuantiles = (T[]) Array.newInstance(clazz, len);
-    final long[] evSpNatRanks = new long[len];
-    for (int i = 0; i < len; i++) {
-      final int index = getQuantileIndex(evSpNormRanks[i], searchCrit);
-      evSpQuantiles[i] = quantiles[index];
-      evSpNatRanks[i] = cumWeights[index];
+    if (numEquallySized > maxParts) {
+      throw new SketchesArgumentException(QuantilesAPI.UNSUPPORTED_MSG
+          + "Requested number of partitions is too large for this sized sketch. "
+          + "It exceeds maximum number of partitions allowed by the error threshold for this size sketch."
+          + "Requested Partitions: " + numEquallySized + " > " + maxParts);
+    }
+    if (numEquallySized > svLen / 2) {
+      throw new SketchesArgumentException(QuantilesAPI.UNSUPPORTED_MSG
+          + "Requested number of partitions is too large for this sized sketch. "
+          + "It exceeds maximum number of retained items divided by 2."
+          + "Requested Partitions: " + numEquallySized + " > "
+          + "Retained Items / 2: " + (svLen / 2));
+    }
+
+    final double[] searchNormRanks = evenlySpacedDoubles(0, 1.0, numEquallySized + 1);
+    final int partArrLen = searchNormRanks.length;
+    final T[] partQuantiles = (T[]) Array.newInstance(clazz, partArrLen);
+    final long[] partNatRanks = new long[partArrLen];
+    final double[] partNormRanks = new double[partArrLen];
+    //adjust ends
+    int adjLen = svLen;
+    final boolean adjLow = quantiles[0] != minItem;
+    final boolean adjHigh = quantiles[svLen - 1] != maxItem;
+    adjLen += adjLow ? 1 : 0;
+    adjLen += adjHigh ? 1 : 0;
+
+    final T[] adjQuantiles;
+    final long[] adjCumWeights;
+    if (adjLen > svLen) {
+      adjQuantiles = (T[]) new Object[adjLen];
+      adjCumWeights = new long[adjLen];
+      final int offset = adjLow ? 1 : 0;
+      System.arraycopy(quantiles, 0, adjQuantiles, offset, svLen);
+      System.arraycopy(cumWeights,0, adjCumWeights, offset, svLen);
+      if (adjLow) {
+        adjQuantiles[0] = minItem;
+        adjCumWeights[0] = 1;
+      }
+      if (adjHigh) {
+        adjQuantiles[adjLen - 1] = maxItem;
+        adjCumWeights[adjLen - 1] = cumWeights[svLen - 1];
+        adjCumWeights[adjLen - 2] = cumWeights[svLen - 1] - 1;
+      }
+    } else {
+      adjQuantiles = quantiles;
+      adjCumWeights = cumWeights;
+    }
+    for (int i = 0; i < partArrLen; i++) {
+      final int index = getQuantileIndex(searchNormRanks[i], adjCumWeights, searchCrit);
+      partQuantiles[i] = adjQuantiles[index];
+      final long cumWt = adjCumWeights[index];
+      partNatRanks[i] = cumWt;
+      partNormRanks[i] = (double)cumWt / totalN;
     }
     final GenericPartitionBoundaries<T> gpb = new GenericPartitionBoundaries<>(
         this.totalN,
-        evSpQuantiles,
-        evSpNatRanks,
-        evSpNormRanks,
+        partQuantiles,
+        partNatRanks,
+        partNormRanks,
         getMaxItem(),
         getMinItem(),
         searchCrit);
@@ -198,13 +243,14 @@ public double[] getPMF(final T[] splitPoints, final QuantileSearchCriteria searc
   public T getQuantile(final double rank, final QuantileSearchCriteria searchCrit) {
     if (isEmpty()) { throw new IllegalArgumentException(EMPTY_MSG); }
     QuantilesUtil.checkNormalizedRankBounds(rank);
-    final int index = getQuantileIndex(rank, searchCrit);
+    final int index = getQuantileIndex(rank, cumWeights, searchCrit);
     return quantiles[index];
   }
 
-  private int getQuantileIndex(final double rank, final QuantileSearchCriteria searchCrit) {
+  private int getQuantileIndex(final double normRank, final long[] cumWeights,
+      final QuantileSearchCriteria searchCrit) {
     final int len = cumWeights.length;
-    final double naturalRank = getNaturalRank(rank, totalN, searchCrit);
+    final double naturalRank = getNaturalRank(normRank, totalN, searchCrit);
     final InequalitySearch crit = (searchCrit == INCLUSIVE) ? InequalitySearch.GE : InequalitySearch.GT;
     final int index = InequalitySearch.find(cumWeights, 0, len - 1, naturalRank, crit);
     if (index == -1) { return len - 1; }

src/main/java/org/apache/datasketches/quantiles/ItemsUtil.java

@@ -20,6 +20,9 @@
 package org.apache.datasketches.quantiles;
 
 import static org.apache.datasketches.common.Util.LS;
+import static org.apache.datasketches.quantiles.ClassicUtil.computeNumLevelsNeeded;
+import static org.apache.datasketches.quantiles.ClassicUtil.computeValidLevels;
+import static org.apache.datasketches.quantiles.ClassicUtil.getNormalizedRankError;
 
 import java.util.Arrays;
 
@@ -85,7 +88,7 @@ static <T> String toString(final boolean sketchSummary, final boolean dataDetail
     final long bitPattern = sketch.getBitPattern();
 
     if (dataDetail) {
-      sb.append(ClassicUtil.LS).append("### ").append(thisSimpleName).append(" DATA DETAIL: ").append(ClassicUtil.LS);
+      sb.append(LS).append("### ").append(thisSimpleName).append(" DATA DETAIL: ").append(LS);
       final Object[] items  = sketch.getCombinedBuffer();
 
       //output the base buffer
@@ -95,7 +98,7 @@ static <T> String toString(final boolean sketchSummary, final boolean dataDetail
           sb.append(' ').append(items[i]);
         }
       }
-      sb.append(ClassicUtil.LS);
+      sb.append(LS);
       //output all the levels
       final int numItems = combAllocCount;
       if (numItems > (2 * k)) {
@@ -105,46 +108,45 @@ static <T> String toString(final boolean sketchSummary, final boolean dataDetail
             final int levelNum = j > (2 * k) ? (j - (2 * k)) / k : 0;
             final String validLvl = ((1L << levelNum) & bitPattern) > 0 ? "    T  " : "    F  ";
             final String lvl = String.format("%5d", levelNum);
-            sb.append(ClassicUtil.LS).append("   ").append(validLvl).append(" ").append(lvl).append(":");
+            sb.append(LS).append("   ").append(validLvl).append(" ").append(lvl).append(":");
           }
           sb.append(' ').append(items[j]);
         }
-        sb.append(ClassicUtil.LS);
+        sb.append(LS);
       }
-      sb.append("### END DATA DETAIL").append(ClassicUtil.LS);
+      sb.append("### END DATA DETAIL").append(LS);
     }
 
     if (sketchSummary) {
       final long n = sketch.getN();
       final String nStr = String.format("%,d", n);
-      final int numLevels = ClassicUtil.computeNumLevelsNeeded(k, n);
-      final String bufCntStr = String.format("%,d", combAllocCount);
+      final String baseBufCntStr = String.format("%,d", bbCount);
+      final String cBufCntStr = String.format("%,d", combAllocCount);
+      final int totNumLevels = computeNumLevelsNeeded(k, n);
+      final int numValidSamples = sketch.getNumRetained();
+      final String numValidSampStr = String.format("%,d", numValidSamples);
       final int preBytes = sketch.isEmpty() ? Long.BYTES : 2 * Long.BYTES;
-      final double epsPmf = ClassicUtil.getNormalizedRankError(k, true);
+      final double epsPmf = getNormalizedRankError(k, true);
       final String epsPmfPctStr = String.format("%.3f%%", epsPmf * 100.0);
-      final double eps =  ClassicUtil.getNormalizedRankError(k, false);
+      final double eps =  getNormalizedRankError(k, false);
       final String epsPctStr = String.format("%.3f%%", eps * 100.0);
-      final int numSamples = sketch.getNumRetained();
-      final String numSampStr = String.format("%,d", numSamples);
       final T minItem = sketch.isEmpty() ? null : sketch.getMinItem();
       final T maxItem = sketch.isEmpty() ? null : sketch.getMaxItem();
-      sb.append(ClassicUtil.LS).append("### ").append(thisSimpleName).append(" SUMMARY: ").append(ClassicUtil.LS);
-      sb.append("   K                            : ").append(k).append(ClassicUtil.LS);
-      sb.append("   N                            : ").append(nStr).append(ClassicUtil.LS);
-      sb.append("   BaseBufferCount              : ").append(bbCount).append(ClassicUtil.LS);
-      sb.append("   CombinedBufferAllocatedCount : ").append(bufCntStr).append(ClassicUtil.LS);
-      sb.append("   Total Levels                 : ").append(numLevels).append(ClassicUtil.LS);
-      sb.append("   Valid Levels                 : ").append(ClassicUtil.computeValidLevels(bitPattern))
-        .append(ClassicUtil.LS);
-      sb.append("   Level Bit Pattern            : ").append(Long.toBinaryString(bitPattern))
-        .append(ClassicUtil.LS);
-      sb.append("   Valid Samples                : ").append(numSampStr).append(ClassicUtil.LS);
-      sb.append("   Preamble Bytes               : ").append(preBytes).append(ClassicUtil.LS);
+      sb.append(LS).append("### ").append(thisSimpleName).append(" SUMMARY: ").append(LS);
+      sb.append("   K                            : ").append(k).append(LS);
+      sb.append("   N                            : ").append(nStr).append(LS);
+      sb.append("   BaseBufferCount              : ").append(baseBufCntStr).append(LS);
+      sb.append("   CombinedBufferAllocatedCount : ").append(cBufCntStr).append(LS);
+      sb.append("   Total Levels                 : ").append(totNumLevels).append(LS);
+      sb.append("   Valid Levels                 : ").append(computeValidLevels(bitPattern)).append(LS);
+      sb.append("   Level Bit Pattern            : ").append(Long.toBinaryString(bitPattern)).append(LS);
+      sb.append("   Valid Samples                : ").append(numValidSampStr).append(LS);
+      sb.append("   Preamble Bytes               : ").append(preBytes).append(LS);
       sb.append("   Normalized Rank Error        : ").append(epsPctStr).append(LS);
       sb.append("   Normalized Rank Error (PMF)  : ").append(epsPmfPctStr).append(LS);
-      sb.append("   Min Quantile                 : ").append(minItem).append(ClassicUtil.LS);
-      sb.append("   Max Quantile                 : ").append(maxItem).append(ClassicUtil.LS);
-      sb.append("### END SKETCH SUMMARY").append(ClassicUtil.LS);
+      sb.append("   Min Quantile                 : ").append(minItem).append(LS);
+      sb.append("   Max Quantile                 : ").append(maxItem).append(LS);
+      sb.append("### END SKETCH SUMMARY").append(LS);
     }
     return sb.toString();
   }

src/main/java/org/apache/datasketches/quantilescommon/GenericSortedViewIterator.java

@@ -19,6 +19,8 @@
 
 package org.apache.datasketches.quantilescommon;
 
+import static org.apache.datasketches.quantilescommon.QuantileSearchCriteria.INCLUSIVE;
+
 /**
  * Iterator over quantile sketches of generic type.
  * @param <T> The generic quantile type
@@ -32,15 +34,32 @@ public GenericSortedViewIterator(final T[] quantiles, final long[] cumWeights) {
   }
 
   /**
-   * Gets the quantile at the current index.
+   * Gets the quantile at the current index
+   * This is equivalent to <i>getQuantile(INCLUSIVE)</i>.
    *
-   * <p>Don't call this before calling next() for the first time
-   * or after getting false from next().</p>
+   * <p>Don't call this before calling next() for the first time or after getting false from next().</p>
    *
    * @return the quantile at the current index.
    */
   public T getQuantile() {
     return quantiles[index];
   }
 
+  /**
+   * Gets the quantile at the current index (or previous index)
+   * based on the chosen search criterion.
+   *
+   * <p>Don't call this before calling next() for the first time or after getting false from next().</p>
+   *
+   * @param searchCrit if INCLUSIVE, includes the quantile at the current index.
+   * Otherwise, returns the quantile of the previous index.
+   *
+   * @return the quantile at the current index (or previous index)
+   * based on the chosen search criterion. If the chosen search criterion is <i>EXCLUSIVE</i> and
+   * the current index is at zero, this will return <i>null</i>.
+   */
+  public T getQuantile(final QuantileSearchCriteria searchCrit) {
+    if (searchCrit == INCLUSIVE) { return quantiles[index]; }
+    return (index == 0) ? null : quantiles[index - 1];
+  }
 }