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/*
* Licensed to the Apache Software Foundation (ASF) under one
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* distributed with this work for additional information
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* to you under the Apache License, Version 2.0 (the
* "License"); you may not use this file except in compliance
* with the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing,
* software distributed under the License is distributed on an
* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
* KIND, either express or implied. See the License for the
* specific language governing permissions and limitations
* under the License.
*/
package org.apache.datasketches.quantiles;
/**
* The doubles update algorithms for quantiles.
*
* @author Lee Rhodes
* @author Kevin Lang
*/
final class DoublesUpdateImpl {
private DoublesUpdateImpl() {}
/**
* Returns item capacity needed based on new value of n and k, which may or may not be larger than
* current space allocated.
* @param k current value of k
* @param newN the new value of n
* @return item capacity based on new value of n and k. It may not be different.
*/
//important: newN might not equal n_
// This only increases the size and does not touch or move any data.
static int getRequiredItemCapacity(final int k, final long newN) {
final int numLevelsNeeded = Util.computeNumLevelsNeeded(k, newN);
if (numLevelsNeeded == 0) {
// don't need any levels yet, and might have small base buffer; this can happen during a merge
return 2 * k;
}
// from here on we need a full-size base buffer and at least one level
assert newN >= (2L * k);
assert numLevelsNeeded > 0;
final int spaceNeeded = (2 + numLevelsNeeded) * k;
return spaceNeeded;
}
/**
* This is used to propagate-carry (ripple-carry) an update that will cause the full, sorted
* base buffer to empty into the levels hierarchy, thus creating a ripple effect up
* through the higher levels. It is also used during merge operations with the only difference
* is the base buffer(s) could have valid data and is less than full.
* This distinction is determined by the doUpdateVersion flag.
*
* Prior to this method being called, any extra space for the combined buffer required
* by either the update or merge operations must already be allocated.
*
* Update Version: The base buffer is initially full, and after it has been sorted and
* zipped, will be used as a size2KBuf scratch buffer for the remaining recursive carries.
* The lowest non-valid level, determined by the bit-pattern, will used internally as a
* size K scratch buffer and the ultimate target.
* Thus no additional buffer storage is required outside the combined buffer.
*
* Merge Version: During merging, each level from the source sketch that must be
* merged is entered into this method and is assigned to the optional source size K buffer
* (optSrcKBuf). Because the base buffer may have data, a separate size2K
* scratch buffer must be provided. The next-lowest. non-valid level, determined by the
* bit-pattern, will used as a sizeKBuf scratch buffer.
*
* Downsample Merge Version: This is a variant of the above Merge Version, except at
* each level the downsampling is performed and the target level is computed for the target merge.
* In this case the optSrcKBuf is the result of the downsample process and needs to be allocated
* for that purpose.
*
*
Recursive carry: This starts with a given sorted, size 2K buffer, which is zipped
* into a size K buffer. If the next level is not valid, the size K buffer is already in position,
* the bit pattern is updated and returned.
*
* If the next level is valid, it is merged with the size K buffer into the size 2K buffer.
* Continue the recursion until a non-valid level becomes filled by the size K buffer,
* the bit pattern is updated and returned.
*
* @param startingLevel 0-based starting level
* @param optSrcKBuf optional, size k source, read only buffer
* @param size2KBuf size 2k scratch buffer
* @param doUpdateVersion true if update version
* @param k the target value of k
* @param tgtSketchBuf the given DoublesSketchAccessor
* @param bitPattern the current bitPattern, prior to this call
* @return The updated bit pattern. The updated combined buffer is output as a side effect.
*/
static long inPlacePropagateCarry(
final int startingLevel,
final DoublesBufferAccessor optSrcKBuf,
final DoublesBufferAccessor size2KBuf,
final boolean doUpdateVersion,
final int k,
final DoublesSketchAccessor tgtSketchBuf,
final long bitPattern) {
final int endingLevel = Util.lowestZeroBitStartingAt(bitPattern, startingLevel);
tgtSketchBuf.setLevel(endingLevel);
if (doUpdateVersion) { // update version of computation
// its is okay for optSrcKBuf to be null in this case
zipSize2KBuffer(size2KBuf, tgtSketchBuf);
} else { // mergeInto version of computation
assert (optSrcKBuf != null);
tgtSketchBuf.putArray(optSrcKBuf.getArray(0, k), 0, 0, k);
}
for (int lvl = startingLevel; lvl < endingLevel; lvl++) {
assert (bitPattern & (1L << lvl)) > 0; // internal consistency check
final DoublesSketchAccessor currLevelBuf = tgtSketchBuf.copyAndSetLevel(lvl);
mergeTwoSizeKBuffers(
currLevelBuf, // target level: lvl
tgtSketchBuf, // target level: endingLevel
size2KBuf);
zipSize2KBuffer(size2KBuf, tgtSketchBuf);
} // end of loop over lower levels
// update bit pattern with binary-arithmetic ripple carry
return bitPattern + (1L << startingLevel);
}
private static void zipSize2KBuffer(
final DoublesBufferAccessor bufIn,
final DoublesBufferAccessor bufOut) {
final int randomOffset = DoublesSketch.rand.nextBoolean() ? 1 : 0;
final int limOut = bufOut.numItems();
for (int idxIn = randomOffset, idxOut = 0; idxOut < limOut; idxIn += 2, idxOut++) {
bufOut.set(idxOut, bufIn.get(idxIn));
}
}
private static void mergeTwoSizeKBuffers(
final DoublesBufferAccessor src1,
final DoublesBufferAccessor src2,
final DoublesBufferAccessor dst) {
assert src1.numItems() == src2.numItems();
final int k = src1.numItems();
int i1 = 0;
int i2 = 0;
int iDst = 0;
while ((i1 < k) && (i2 < k)) {
if (src2.get(i2) < src1.get(i1)) {
dst.set(iDst++, src2.get(i2++));
} else {
dst.set(iDst++, src1.get(i1++));
}
}
if (i1 < k) {
final int numItems = k - i1;
dst.putArray(src1.getArray(i1, numItems), 0, iDst, numItems);
} else {
final int numItems = k - i2;
dst.putArray(src2.getArray(i2, numItems), 0, iDst, numItems);
}
}
}