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Core sketch algorithms used alone and by other Java repositories in the DataSketches library.
/*
* Licensed to the Apache Software Foundation (ASF) under one
* or more contributor license agreements. See the NOTICE file
* distributed with this work for additional information
* regarding copyright ownership. The ASF licenses this file
* 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.sampling;
import static org.apache.datasketches.common.Util.LS;
import static org.apache.datasketches.common.Util.zeroPad;
import java.nio.ByteOrder;
import java.util.Locale;
import org.apache.datasketches.common.Family;
import org.apache.datasketches.common.ResizeFactor;
import org.apache.datasketches.common.SketchesArgumentException;
import org.apache.datasketches.memory.Memory;
import org.apache.datasketches.memory.WritableMemory;
//@formatter:off
/**
* This class defines the preamble items structure and provides basic utilities for some of the key
* fields.
*
*
* MAP: Low significance bytes of this long items structure are on the right. However, the
* multi-byte integers (int and long) are stored in native byte order. The
* byte values are treated as unsigned.
*
* Sketch: The count of items seen is limited to 48 bits (~256 trillion) even
* though there are adjacent unused preamble bits. The acceptance probability for an item is a
* double in the range [0,1), limiting us to 53 bits of randomness due to details of the IEEE
* floating point format. To ensure meaningful probabilities as the items seen count approaches
* capacity, we intentionally use slightly fewer bits.
*
* An empty reservoir sampling sketch only requires 8 bytes. A non-empty sampling sketch
* requires 16 bytes of preamble.
*
*
* Long || Start Byte Adr:
* Adr:
* || 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
* 0 ||--------Reservoir Size (K)---------| Flags | FamID | SerVer | Preamble_Longs |
*
* || 15 | 14 | 13 | 12 | 11 | 10 | 9 | 8 |
* 1 ||------------------------------Items Seen Count (N)---------------------------------|
*
*
* Union: The reservoir union has fewer internal parameters to track and uses
* a slightly different preamble structure. The maximum reservoir size intentionally occupies the
* same byte range as the reservoir size in the sketch preamble, allowing the same methods to be
* used for reading and writing the values. The varopt union takes advantage of the same format.
* The items in the union are stored in a reservoir sketch-compatible format after the union
* preamble.
*
*
* An empty union only requires 8 bytes. A non-empty union requires 8 bytes of preamble.
*
*
* Long || Start Byte Adr:
* Adr:
* || 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
* 0 ||---------Max Res. Size (K)---------| Flags | FamID | SerVer | Preamble_Longs |
*
*
* VarOpt: A VarOpt sketch has a more complex internal items structure and
* requires a larger preamble. Values serving a similar purpose in both reservoir and varopt sampling
* share the same byte ranges, allowing method re-use where practical.
*
* An empty varopt sample requires 8 bytes. A non-empty sketch requires 16 bytes of preamble
* for an under-full sample and otherwise 32 bytes of preamble.
*
*
* Long || Start Byte Adr:
* Adr:
* || 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
* 0 ||--------Reservoir Size (K)---------| Flags | FamID | SerVer | Preamble_Longs |
*
* || 15 | 14 | 13 | 12 | 11 | 10 | 9 | 8 |
* 1 ||------------------------------Items Seen Count (N)---------------------------------|
*
* || 23 | 22 | 21 | 20 | 19 | 18 | 17 | 16 |
* 2 ||---------Item Count in R-----------|-----------Item Count in H---------------------|
*
* || 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 |
* 3 ||--------------------------------Total Weight in R----------------------------------|
*
*
* VarOpt Union: VarOpt unions also store more information than a reservoir
* sketch. As before, we keep values with similar o hte same meaning in corresponding locations
* actoss sketch and union formats. The items in the union are stored in a varopt sketch-compatible
* format after the union preamble.
*
* An empty union only requires 8 bytes. A non-empty union requires 32 bytes of preamble.
*
*
* Long || Start Byte Adr:
* Adr:
* || 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
* 0 ||---------Max Res. Size (K)---------| Flags | FamID | SerVer | Preamble_Longs |
*
* || 15 | 14 | 13 | 12 | 11 | 10 | 9 | 8 |
* 1 ||------------------------------Items Seen Count (N)---------------------------------|
*
* || 23 | 22 | 21 | 20 | 19 | 18 | 17 | 16 |
* 2 ||---------------------------Outer Tau Numerator (double)----------------------------|
*
* || 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 |
* 3 ||---------------------------Outer Tau Denominator (long)----------------------------|
*
*
* @author Jon Malkin
* @author Lee Rhodes
*/
final class PreambleUtil {
private PreambleUtil() {}
// ###### DO NOT MESS WITH THIS FROM HERE ...
// Preamble byte Addresses
static final int PREAMBLE_LONGS_BYTE = 0; // Only low 6 bits used
static final int LG_RESIZE_FACTOR_BIT = 6; // upper 2 bits. Not used by compact or direct.
static final int SER_VER_BYTE = 1;
static final int FAMILY_BYTE = 2;
static final int FLAGS_BYTE = 3;
static final int RESERVOIR_SIZE_SHORT = 4; // used in ser_ver 1
static final int RESERVOIR_SIZE_INT = 4;
static final int SERDE_ID_SHORT = 6; // used in ser_ver 1
static final int ITEMS_SEEN_LONG = 8;
static final int MAX_K_SIZE_INT = 4; // used in Union only
static final int OUTER_TAU_NUM_DOUBLE = 16; // used in Varopt Union only
static final int OUTER_TAU_DENOM_LONG = 24; // used in Varopt Union only
// constants and addresses used in varopt
static final int ITEM_COUNT_H_INT = 16;
static final int ITEM_COUNT_R_INT = 20;
static final int TOTAL_WEIGHT_R_DOUBLE = 24;
static final int VO_PRELONGS_EMPTY = Family.VAROPT.getMinPreLongs();
static final int VO_PRELONGS_WARMUP = 3; // Doesn't match min or max prelongs in Family
static final int VO_PRELONGS_FULL = Family.VAROPT.getMaxPreLongs();
// flag bit masks
//static final int BIG_ENDIAN_FLAG_MASK = 1;
//static final int READ_ONLY_FLAG_MASK = 2;
static final int EMPTY_FLAG_MASK = 4;
static final int GADGET_FLAG_MASK = 128;
//Other constants
static final int SER_VER = 2;
static final boolean NATIVE_ORDER_IS_BIG_ENDIAN =
(ByteOrder.nativeOrder() == ByteOrder.BIG_ENDIAN);
// STRINGS
/**
* Returns a human readable string summary of the preamble state of the given byte array.
* Used primarily in testing.
*
* @param byteArr the given byte array.
* @return the summary preamble string.
*/
static String preambleToString(final byte[] byteArr) {
final Memory mem = Memory.wrap(byteArr);
return preambleToString(mem);
}
/**
* Returns a human readable string summary of the preamble state of the given Memory.
* Note: other than making sure that the given Memory size is large
* enough for just the preamble, this does not do much value checking of the contents of the
* preamble as this is primarily a tool for debugging the preamble visually.
*
* @param mem the given Memory.
* @return the summary preamble string.
*/
static String preambleToString(final Memory mem) {
final int preLongs = getAndCheckPreLongs(mem); // make sure we can get the assumed preamble
final Family family = Family.idToFamily(mem.getByte(FAMILY_BYTE));
switch (family) {
case RESERVOIR:
case VAROPT:
return sketchPreambleToString(mem, family, preLongs);
case RESERVOIR_UNION:
case VAROPT_UNION:
return unionPreambleToString(mem, family, preLongs);
default:
throw new SketchesArgumentException("Inspecting preamble with Sampling family's "
+ "PreambleUtil with object of family " + family.getFamilyName());
}
}
private static String sketchPreambleToString(final Memory mem,
final Family family,
final int preLongs) {
final ResizeFactor rf = ResizeFactor.getRF(extractResizeFactor(mem));
final int serVer = extractSerVer(mem);
// Flags
final int flags = extractFlags(mem);
final String flagsStr = zeroPad(Integer.toBinaryString(flags), 8) + ", " + (flags);
//final boolean bigEndian = (flags & BIG_ENDIAN_FLAG_MASK) > 0;
//final String nativeOrder = ByteOrder.nativeOrder().toString();
//final boolean readOnly = (flags & READ_ONLY_FLAG_MASK) > 0;
final boolean isEmpty = (flags & EMPTY_FLAG_MASK) > 0;
final boolean isGadget = (flags & GADGET_FLAG_MASK) > 0;
final int k;
if (serVer == 1) {
final short encK = extractEncodedReservoirSize(mem);
k = ReservoirSize.decodeValue(encK);
} else {
k = extractK(mem);
}
long n = 0;
if (!isEmpty) {
n = extractN(mem);
}
final long dataBytes = mem.getCapacity() - (preLongs << 3);
final StringBuilder sb = new StringBuilder();
sb.append(LS)
.append("### END ")
.append(family.getFamilyName().toUpperCase(Locale.US))
.append(" PREAMBLE SUMMARY").append(LS)
.append("Byte 0: Preamble Longs : ").append(preLongs).append(LS)
.append("Byte 0: ResizeFactor : ").append(rf.toString()).append(LS)
.append("Byte 1: Serialization Version: ").append(serVer).append(LS)
.append("Byte 2: Family : ").append(family.toString()).append(LS)
.append("Byte 3: Flags Field : ").append(flagsStr).append(LS)
//.append(" BIG_ENDIAN_STORAGE : ").append(bigEndian).append(LS)
//.append(" (Native Byte Order) : ").append(nativeOrder).append(LS)
//.append(" READ_ONLY : ").append(readOnly).append(LS)
.append(" EMPTY : ").append(isEmpty).append(LS);
if (family == Family.VAROPT) {
sb.append(" GADGET : ").append(isGadget).append(LS);
}
sb.append("Bytes 4-7: Sketch Size (k) : ").append(k).append(LS);
if (!isEmpty) {
sb.append("Bytes 8-15: Items Seen (n) : ").append(n).append(LS);
}
if ((family == Family.VAROPT) && !isEmpty) {
final int hCount = extractHRegionItemCount(mem);
final int rCount = extractRRegionItemCount(mem);
final double totalRWeight = extractTotalRWeight(mem);
sb.append("Bytes 16-19: H region count : ").append(hCount).append(LS)
.append("Bytes 20-23: R region count : ").append(rCount).append(LS);
if (rCount > 0) {
sb.append("Bytes 24-31: R region weight : ").append(totalRWeight).append(LS);
}
}
sb.append("TOTAL Sketch Bytes : ").append(mem.getCapacity()).append(LS)
.append(" Preamble Bytes : ").append(preLongs << 3).append(LS)
.append(" Data Bytes : ").append(dataBytes).append(LS)
.append("### END ")
.append(family.getFamilyName().toUpperCase(Locale.US))
.append(" PREAMBLE SUMMARY").append(LS);
return sb.toString();
}
private static String unionPreambleToString(final Memory mem,
final Family family,
final int preLongs) {
final ResizeFactor rf = ResizeFactor.getRF(extractResizeFactor(mem));
final int serVer = extractSerVer(mem);
// Flags
final int flags = extractFlags(mem);
final String flagsStr = zeroPad(Integer.toBinaryString(flags), 8) + ", " + (flags);
//final boolean bigEndian = (flags & BIG_ENDIAN_FLAG_MASK) > 0;
//final String nativeOrder = ByteOrder.nativeOrder().toString();
//final boolean readOnly = (flags & READ_ONLY_FLAG_MASK) > 0;
final boolean isEmpty = (flags & EMPTY_FLAG_MASK) > 0;
final int k;
if (serVer == 1) {
final short encK = extractEncodedReservoirSize(mem);
k = ReservoirSize.decodeValue(encK);
} else {
k = extractK(mem);
}
final long dataBytes = mem.getCapacity() - (preLongs << 3);
return LS
+ "### END " + family.getFamilyName().toUpperCase(Locale.US) + " PREAMBLE SUMMARY" + LS
+ "Byte 0: Preamble Longs : " + preLongs + LS
+ "Byte 0: ResizeFactor : " + rf.toString() + LS
+ "Byte 1: Serialization Version : " + serVer + LS
+ "Byte 2: Family : " + family.toString() + LS
+ "Byte 3: Flags Field : " + flagsStr + LS
//+ " BIG_ENDIAN_STORAGE : " + bigEndian + LS
//+ " (Native Byte Order) : " + nativeOrder + LS
//+ " READ_ONLY : " + readOnly + LS
+ " EMPTY : " + isEmpty + LS
+ "Bytes 4-7: Max Sketch Size (maxK): " + k + LS
+ "TOTAL Sketch Bytes : " + mem.getCapacity() + LS
+ " Preamble Bytes : " + (preLongs << 3) + LS
+ " Sketch Bytes : " + dataBytes + LS
+ "### END " + family.getFamilyName().toUpperCase(Locale.US) + " PREAMBLE SUMMARY" + LS;
}
// Extraction methods
static int extractPreLongs(final Memory mem) {
return mem.getByte(PREAMBLE_LONGS_BYTE) & 0x3F;
}
static int extractResizeFactor(final Memory mem) {
return (mem.getByte(PREAMBLE_LONGS_BYTE) >>> LG_RESIZE_FACTOR_BIT) & 0x3;
}
static int extractSerVer(final Memory mem) {
return mem.getByte(SER_VER_BYTE) & 0xFF;
}
static int extractFamilyID(final Memory mem) {
return mem.getByte(FAMILY_BYTE) & 0xFF;
}
static int extractFlags(final Memory mem) {
return mem.getByte(FLAGS_BYTE) & 0xFF;
}
static short extractEncodedReservoirSize(final Memory mem) {
return mem.getShort(RESERVOIR_SIZE_SHORT);
}
static int extractK(final Memory mem) {
return mem.getInt(RESERVOIR_SIZE_INT);
}
static int extractMaxK(final Memory mem) {
return extractK(mem);
}
static long extractN(final Memory mem) {
return mem.getLong(ITEMS_SEEN_LONG);
}
static int extractHRegionItemCount(final Memory mem) {
return mem.getInt(ITEM_COUNT_H_INT);
}
static int extractRRegionItemCount(final Memory mem) {
return mem.getInt(ITEM_COUNT_R_INT);
}
static double extractTotalRWeight(final Memory mem) {
return mem.getDouble(TOTAL_WEIGHT_R_DOUBLE);
}
static double extractOuterTauNumerator(final Memory mem) {
return mem.getDouble(OUTER_TAU_NUM_DOUBLE);
}
static long extractOuterTauDenominator(final Memory mem) {
return mem.getLong(OUTER_TAU_DENOM_LONG);
}
// Insertion methods
static void insertPreLongs(final WritableMemory wmem, final int preLongs) {
final int curByte = wmem.getByte(PREAMBLE_LONGS_BYTE);
final int mask = 0x3F;
final byte newByte = (byte) ((preLongs & mask) | (~mask & curByte));
wmem.putByte(PREAMBLE_LONGS_BYTE, newByte);
}
static void insertLgResizeFactor(final WritableMemory wmem, final int rf) {
final int curByte = wmem.getByte(PREAMBLE_LONGS_BYTE);
final int shift = LG_RESIZE_FACTOR_BIT; // shift in bits
final int mask = 3;
final byte newByte = (byte) (((rf & mask) << shift) | (~(mask << shift) & curByte));
wmem.putByte(PREAMBLE_LONGS_BYTE, newByte);
}
static void insertSerVer(final WritableMemory wmem, final int serVer) {
wmem.putByte(SER_VER_BYTE, (byte) serVer);
}
static void insertFamilyID(final WritableMemory wmem, final int famId) {
wmem.putByte(FAMILY_BYTE, (byte) famId);
}
static void insertFlags(final WritableMemory wmem, final int flags) {
wmem.putByte(FLAGS_BYTE, (byte) flags);
}
static void insertK(final WritableMemory wmem, final int k) {
wmem.putInt(RESERVOIR_SIZE_INT, k);
}
static void insertMaxK(final WritableMemory wmem, final int maxK) {
insertK(wmem, maxK);
}
static void insertN(final WritableMemory wmem, final long totalSeen) {
wmem.putLong(ITEMS_SEEN_LONG, totalSeen);
}
static void insertHRegionItemCount(final WritableMemory wmem, final int hCount) {
wmem.putInt(ITEM_COUNT_H_INT, hCount);
}
static void insertRRegionItemCount(final WritableMemory wmem, final int rCount) {
wmem.putInt(ITEM_COUNT_R_INT, rCount);
}
static void insertTotalRWeight(final WritableMemory wmem, final double weight) {
wmem.putDouble(TOTAL_WEIGHT_R_DOUBLE, weight);
}
static void insertOuterTauNumerator(final WritableMemory wmem, final double numer) {
wmem.putDouble(OUTER_TAU_NUM_DOUBLE, numer);
}
static void insertOuterTauDenominator(final WritableMemory wmem, final long denom) {
wmem.putLong(OUTER_TAU_DENOM_LONG, denom);
}
/**
* Checks Memory for capacity to hold the preamble and returns the extracted preLongs.
* @param mem the given Memory
* @return the extracted prelongs value.
*/
static int getAndCheckPreLongs(final Memory mem) {
final long cap = mem.getCapacity();
if (cap < 8) { throwNotBigEnough(cap, 8); }
final int preLongs = mem.getByte(0) & 0x3F;
final int required = Math.max(preLongs << 3, 8);
if (cap < required) { throwNotBigEnough(cap, required); }
return preLongs;
}
private static void throwNotBigEnough(final long cap, final int required) {
throw new SketchesArgumentException(
"Possible Corruption: Size of byte array or Memory not large enough: Size: " + cap
+ ", Required: " + required);
}
}
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