From 808c6b8e1e19c0e45cf2149833af94efc5b8d8d5 Mon Sep 17 00:00:00 2001 From: lifengchao Date: Thu, 15 Aug 2024 14:44:06 +0800 Subject: [PATCH] init --- .gitignore | 3 + pom.xml | 95 ++ .../sketch/hlld/DirectHllIntArray.java | 200 ++++ .../sketch/hlld/DirectHllIntSparseArray.java | 152 +++ .../com/geedgenetworks/sketch/hlld/Hll.java | 121 +++ .../sketch/hlld/HllConstants.java | 898 ++++++++++++++++++ .../geedgenetworks/sketch/hlld/HllImpl.java | 225 +++++ .../sketch/hlld/HllIntArray.java | 202 ++++ .../geedgenetworks/sketch/hlld/HllUnion.java | 221 +++++ .../geedgenetworks/sketch/hlld/HllUtils.java | 26 + .../sketch/util/StringUtils.java | 32 + .../sketch/util/UnsafeUtil.java | 204 ++++ .../geedgenetworks/sketch/util/XxHash64.java | 303 ++++++ .../java/org/HdrHistogram/ArrayHistogram.java | 388 ++++++++ .../HdrHistogram/DirectArrayHistogram.java | 234 +++++ .../org/HdrHistogram/DirectMapHistogram.java | 492 ++++++++++ .../org/HdrHistogram/HistogramSketch.java | 90 ++ .../java/org/HdrHistogram/HistogramUnion.java | 48 + .../java/org/HdrHistogram/Histogramer.java | 37 + .../java/org/HdrHistogram/Percentile.java | 50 + .../geedgenetworks/sketch/hlld/HllTest.java | 266 ++++++ .../org/HdrHistogram/HistogramSketchTest.java | 114 +++ 22 files changed, 4401 insertions(+) create mode 100644 .gitignore create mode 100644 pom.xml create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntArray.java create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntSparseArray.java create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/Hll.java create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/HllConstants.java create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/HllImpl.java create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/HllIntArray.java create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/HllUnion.java create mode 100644 src/main/java/com/geedgenetworks/sketch/hlld/HllUtils.java create mode 100644 src/main/java/com/geedgenetworks/sketch/util/StringUtils.java create mode 100644 src/main/java/com/geedgenetworks/sketch/util/UnsafeUtil.java create mode 100644 src/main/java/com/geedgenetworks/sketch/util/XxHash64.java create mode 100644 src/main/java/org/HdrHistogram/ArrayHistogram.java create mode 100644 src/main/java/org/HdrHistogram/DirectArrayHistogram.java create mode 100644 src/main/java/org/HdrHistogram/DirectMapHistogram.java create mode 100644 src/main/java/org/HdrHistogram/HistogramSketch.java create mode 100644 src/main/java/org/HdrHistogram/HistogramUnion.java create mode 100644 src/main/java/org/HdrHistogram/Histogramer.java create mode 100644 src/main/java/org/HdrHistogram/Percentile.java create mode 100644 src/test/java/com/geedgenetworks/sketch/hlld/HllTest.java create mode 100644 src/test/java/org/HdrHistogram/HistogramSketchTest.java diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..18f0443 --- /dev/null +++ b/.gitignore @@ -0,0 +1,3 @@ +.idea +target +*.iml \ No newline at end of file diff --git a/pom.xml b/pom.xml new file mode 100644 index 0000000..5a6a38c --- /dev/null +++ b/pom.xml @@ -0,0 +1,95 @@ + + + 4.0.0 + + com.geedgenetworks + sketches + 1.0.0 + + + 11 + 11 + UTF-8 + + + + + + it.unimi.dsi + fastutil + 8.5.12 + + + + org.hdrhistogram + HdrHistogram + 2.1.12 + + + + junit + junit + 4.13.2 + test + + + + + sketches + + + + org.apache.maven.plugins + maven-compiler-plugin + 3.1 + + ${maven.compiler.source} + ${maven.compiler.target} + + + + + + org.apache.maven.plugins + maven-surefire-plugin + + + + org.codehaus.mojo + build-helper-maven-plugin + 1.7 + + + + add-source + generate-sources + + add-source + + + + src/main/scala + + + + + + add-test-source + generate-test-sources + + add-test-source + + + + src/test/scala + + + + + + + + + \ No newline at end of file diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntArray.java b/src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntArray.java new file mode 100644 index 0000000..025d0eb --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntArray.java @@ -0,0 +1,200 @@ +package com.geedgenetworks.sketch.hlld; + +import java.nio.ByteBuffer; +import java.nio.ByteOrder; + +/** + * 基于ByteBuffer操作Hll，主要用于druid中聚合使用堆外内存的情况 + */ +public class DirectHllIntArray extends HllImpl { + /** + * byte offset: + * Byte 0: version + * Byte 1: precision + * Byte 2: regs + */ + public static final int PRECISION_BYTE = 1; + public static final int REGS_BYTE = 2; + + private ByteBuffer byteBuffer; + private int initPosition; + + DirectHllIntArray(int precision, ByteBuffer byteBuffer) { + this.byteBuffer = byteBuffer; + this.initPosition = byteBuffer.position(); + int reg = 1 << precision; + assert byteBuffer.limit() - byteBuffer.position() >= (reg + REG_PER_WORD - 1) / REG_PER_WORD * 4; + if(!byteBuffer.isReadOnly()){ + this.byteBuffer.put(this.initPosition, (byte)1); + this.byteBuffer.put(this.initPosition + PRECISION_BYTE, (byte)precision); + } + } + + // druid内部使用 + void resetByteBuffer(ByteBuffer byteBuffer){ + this.byteBuffer = byteBuffer; + this.initPosition = byteBuffer.position(); + } + + @Override + int getRegister(int idx) { + int word = byteBuffer.getInt(initPosition + REGS_BYTE + ((idx / REG_PER_WORD) << 2) ); + word = word >>> (REG_WIDTH * (idx % REG_PER_WORD)); + return word & ((1 << REG_WIDTH) - 1); + } + + @Override + void setRegister(int idx, int val) { + int i = idx / REG_PER_WORD; + int pos = initPosition + REGS_BYTE + (i << 2); + int word = byteBuffer.getInt(pos); + // Shift the val into place + int shift = REG_WIDTH * (idx % REG_PER_WORD); + val = val << shift; + int val_mask = ((1 << REG_WIDTH) - 1) << shift; + // Store the word + byteBuffer.putInt(pos, (word & ~val_mask) | val); + } + + @Override + int getWord(int idx) { + return byteBuffer.getInt(initPosition + REGS_BYTE + ((idx / REG_PER_WORD) << 2) ); + } + + @Override + void setWord(int idx, int word) { + int i = idx / REG_PER_WORD; + int pos = initPosition + REGS_BYTE + (i << 2); + byteBuffer.putInt(pos, word); + } + + @Override + boolean isMemory() { + return true; + } + + @Override + void reset() { + resetCacheZero(); + int p = getPrecision(); + int reg = 1 << p; + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + final long endBytes = initPosition + REGS_BYTE + (words << 2); + for (int i = initPosition + REGS_BYTE; i < endBytes; i++) { + byteBuffer.put(i, (byte)0); + } + } + + @Override + int getPrecision() { + return byteBuffer.get(initPosition + PRECISION_BYTE); + } + + @Override + void setPrecision(int precision) { + this.byteBuffer.put(initPosition + PRECISION_BYTE, (byte)precision); + } + + @Override + HllImpl copy() { + int p = getPrecision(); + HllIntArray hll = new HllIntArray(p); + for (int i = 0; i < hll.regs.length; i++) { + int pos = initPosition + REGS_BYTE + (i << 2); + int word = byteBuffer.getInt(pos); + hll.regs[i] = word; + } + return hll; + } + + private int sparseWordCount(){ + int p = getPrecision(); + if(p > 17){ + return -1; + } + + int reg = 1 << p; + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + int halfWord = words >>> 1; + + int count = 0; + for (int i = 0; i < words; i++) { + int pos = initPosition + REGS_BYTE + (i << 2); + int word = byteBuffer.getInt(pos); + if(word != 0){ + count++; + if(count > halfWord){ + return -1; + } + } + } + + return count; + } + + private byte[] toSparseBytes(int sparseLen) { + int size = getSparseSerializationBytes(sparseLen); + int p = getPrecision(); + int reg = 1 << p; + ByteBuffer byteBuf = ByteBuffer.allocate(size); + byteBuf.put((byte)0); // flag + byteBuf.put((byte)1); // version + byteBuf.put((byte)p); // p + byteBuf.putShort((short)sparseLen); // len + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + for (int i = 0; i < words; i++) { + int pos = initPosition + REGS_BYTE + (i << 2); + int word = byteBuffer.getInt(pos); + if(word != 0){ + byteBuf.putShort((short)i); + byteBuf.putInt(word); + } + } + return byteBuf.array(); + } + + private byte[] toDenseBytes() { + int size = getSerializationBytes(); + byte[] bytes = new byte[size]; + assert byteBuffer.order() == ByteOrder.BIG_ENDIAN; + int oldPosition = byteBuffer.position(); + byteBuffer.position(initPosition); + byteBuffer.get(bytes, 0, size); + byteBuffer.position(oldPosition); + return bytes; + } + + @Override + byte[] toBytes() { + int sparseLen = sparseWordCount(); + if(sparseLen == -1){ + return toDenseBytes(); + }else{ + return toSparseBytes(sparseLen); + } + } + + public static DirectHllIntArray wrapBytes(byte[] bytes) { + ByteBuffer byteBuffer = ByteBuffer.wrap(bytes); + return wrapByteBuffer(byteBuffer); + } + + public static DirectHllIntArray wrapByteBuffer(ByteBuffer byteBuffer) { + int initPosition = byteBuffer.position(); + int version = byteBuffer.get(initPosition); + if(version != 1){ + throw new IllegalArgumentException("Unsupported version:" + version); + } + int p = byteBuffer.get(initPosition + PRECISION_BYTE); + DirectHllIntArray hll = new DirectHllIntArray(p, byteBuffer); + return hll; + } + + public static final int getUpdatableSerializationBytes(final int precision){ + int reg = 1 << precision; + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + // version + p + regs + return 1 + 1 + words * 4; + } + +} diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntSparseArray.java b/src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntSparseArray.java new file mode 100644 index 0000000..60e1592 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/DirectHllIntSparseArray.java @@ -0,0 +1,152 @@ +package com.geedgenetworks.sketch.hlld; + +import java.nio.ByteBuffer; +import java.nio.ByteOrder; + +/** + * 只支持读的DirectHllIntArray，主要用于druid中反序列使用稀疏数组压缩储存的Hll + */ +public class DirectHllIntSparseArray extends HllImpl { + /** + * byte offset: + * Byte 0: flag + * Byte 1: version + * Byte 2: precision + * Byte 3: len + * Byte 5: regs + */ + public static final int VERSION_BYTE = 1; + public static final int PRECISION_BYTE = 2; + public static final int LEN_BYTE = 3; + public static final int REGS_BYTE = 5; + + final ByteBuffer byteBuffer; + final int initPosition; + final int p; + final int len; + + private DirectHllIntSparseArray(ByteBuffer byteBuffer) { + int initPosition = byteBuffer.position(); + int version = byteBuffer.get(initPosition + VERSION_BYTE); + int p = byteBuffer.get(initPosition + PRECISION_BYTE); + int len = byteBuffer.getShort(initPosition + LEN_BYTE); + if(version != 1){ + throw new IllegalArgumentException("Unsupported version:" + version); + } + assert byteBuffer.limit() - initPosition - REGS_BYTE >= len * 6; + this.byteBuffer = byteBuffer; + this.initPosition = initPosition; + this.p = p; + this.len = len; + } + + public static DirectHllIntSparseArray wrapBytes(byte[] bytes) { + ByteBuffer byteBuffer = ByteBuffer.wrap(bytes); + return wrapByteBuffer(byteBuffer); + } + + public static DirectHllIntSparseArray wrapByteBuffer(ByteBuffer byteBuffer) { + DirectHllIntSparseArray hll = new DirectHllIntSparseArray(byteBuffer); + return hll; + } + + /*int getRegsPosition() { + return initPosition + REGS_BYTE; + }*/ + + int getWordIdx(int i) { + return byteBuffer.getShort(initPosition + REGS_BYTE + i * 6); + } + + int getWordValue(int i) { + return byteBuffer.getInt(initPosition + REGS_BYTE + i * 6 + 2); + } + + @Override + int getRegister(int idx) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + void setRegister(int idx, int val) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + int getWord(int idx) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + void setWord(int idx, int word) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + void reset() { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + boolean isMemory() { + return true; + } + + @Override + int getPrecision() { + return p; + } + + @Override + void setPrecision(int precision) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + HllImpl copy() { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + byte[] toBytes() { + int size = getSparseSerializationBytes(len); + byte[] bytes = new byte[size]; + assert byteBuffer.order() == ByteOrder.BIG_ENDIAN; + int oldPosition = byteBuffer.position(); + byteBuffer.position(initPosition); + byteBuffer.get(bytes, 0, size); + byteBuffer.position(oldPosition); + return bytes; + } + + @Override + public double size() { + if(cached){ + return cachedCount; + } + + int p = getPrecision(); + int reg = 1 << p; + + int notZeros = 0; + int regVal; + for (int k = 0; k < len; k++) { + int word = getWordValue(k); + for (int j = 0; j < 5; j++) { + regVal = getRegisterFromWord(word, j); + if (regVal != 0) { + notZeros++; + } + } + } + int numZeros = reg - notZeros; + assert numZeros > 0; + cachedCount = linearCount(reg, numZeros); + + cached = true; + + return cachedCount; + } + + +} diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/Hll.java b/src/main/java/com/geedgenetworks/sketch/hlld/Hll.java new file mode 100644 index 0000000..6826daf --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/Hll.java @@ -0,0 +1,121 @@ +package com.geedgenetworks.sketch.hlld; + +import java.io.Serializable; +import java.nio.ByteBuffer; + +public class Hll implements Serializable { + static final int DEFAULT_PRECISION = 12; + static final int HLL_MIN_PRECISION = 4; // 16 registers + static final int HLL_MAX_PRECISION = 18; // 262,144 registers + + static final long DEFAULT_HASH_SEED = 0L; // 9001L + + public HllImpl hllImpl = null; + + public Hll() { + this(DEFAULT_PRECISION); + } + + public Hll(int precision) { + if (precision > HLL_MAX_PRECISION || precision < HLL_MIN_PRECISION) { + throw new RuntimeException("precision"); + } + hllImpl = new HllIntArray(precision); + } + + public Hll(int precision, ByteBuffer byteBuffer) { + hllImpl = new DirectHllIntArray(precision, byteBuffer); + } + + Hll(final HllImpl that) { + hllImpl = that; + } + + /** + * Copy constructor used by copy(). + */ + Hll(final Hll that) { + hllImpl = that.hllImpl.copy(); + } + + /** + * 复制Hll到堆内存实例HllIntArray + */ + public Hll copy() { + return new Hll(this); + } + + // druid内部使用 + public void resetByteBuffer(ByteBuffer byteBuffer){ + ((DirectHllIntArray)hllImpl).resetByteBuffer(byteBuffer); + } + + public void add(long val) { + hllImpl.add(val); + } + + public void add(double val) { + hllImpl.add(val); + } + + public void add(String val) { + hllImpl.add(val); + } + + public void add(byte[] val) { + hllImpl.add(val); + } + + public void reset() { + hllImpl.reset(); + } + + public double getEstimate() { + return hllImpl.getEstimate(); + } + + public double size() { + return hllImpl.size(); + } + + public int getPrecision() { + return hllImpl.getPrecision(); + } + + public int getP() { + return hllImpl.getPrecision(); + } + + public static final int getUpdatableSerializationBytes(final int precision){ + return DirectHllIntArray.getUpdatableSerializationBytes(precision); + } + + public byte[] toBytes() { + return hllImpl.toBytes(); + } + + public static Hll fromBytes(byte[] bytes) { + return new Hll(HllIntArray.fromBytes(bytes)); + } + + public static Hll fromByteBuffer(ByteBuffer byteBuffer) { + return new Hll(HllIntArray.fromByteBuffer(byteBuffer)); + } + + public static Hll wrapBytes(byte[] bytes) { + if(bytes[0] == 0){ + return new Hll(DirectHllIntSparseArray.wrapBytes(bytes)); + }else{ + return new Hll(DirectHllIntArray.wrapBytes(bytes)); + } + } + + public static Hll wrapByteBuffer(ByteBuffer byteBuffer) { + if(byteBuffer.get(byteBuffer.position()) == 0){ + return new Hll(DirectHllIntSparseArray.wrapByteBuffer(byteBuffer)); + }else{ + return new Hll(DirectHllIntArray.wrapByteBuffer(byteBuffer)); + } + + } +} diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/HllConstants.java b/src/main/java/com/geedgenetworks/sketch/hlld/HllConstants.java new file mode 100644 index 0000000..dd8c567 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/HllConstants.java @@ -0,0 +1,898 @@ +package com.geedgenetworks.sketch.hlld; + +import java.util.stream.IntStream; + +public class HllConstants { + public static double[] inversePow2Data = IntStream.rangeClosed(0, Byte.MAX_VALUE).mapToDouble(v -> Math.pow(2, -v)).toArray(); + public static final int K_NEAREST_NEIGHBOR = 6; + public static final double[] thresholdData = { 10, 20, 40, 80, 220, 400, 900, 1800, 3100, 6500, + 15500, 20000, 50000, 120000, 350000 }; + public static final double[][] rawEstimateData = { + // precision 4 + { 11, 11.717, 12.207, 12.7896, 13.2882, 13.8204, 14.3772, 14.9342, 15.5202, 16.161, 16.7722, + 17.4636, 18.0396, 18.6766, 19.3566, 20.0454, 20.7936, 21.4856, 22.2666, 22.9946, 23.766, + 24.4692, 25.3638, 26.0764, 26.7864, 27.7602, 28.4814, 29.433, 30.2926, 31.0664, 31.9996, + 32.7956, 33.5366, 34.5894, 35.5738, 36.2698, 37.3682, 38.0544, 39.2342, 40.0108, 40.7966, + 41.9298, 42.8704, 43.6358, 44.5194, 45.773, 46.6772, 47.6174, 48.4888, 49.3304, 50.2506, + 51.4996, 52.3824, 53.3078, 54.3984, 55.5838, 56.6618, 57.2174, 58.3514, 59.0802, 60.1482, + 61.0376, 62.3598, 62.8078, 63.9744, 64.914, 65.781, 67.1806, 68.0594, 68.8446, 69.7928, + 70.8248, 71.8324, 72.8598, 73.6246, 74.7014, 75.393, 76.6708, 77.2394, }, + // precision 5 + { 23, 23.1194, 23.8208, 24.2318, 24.77, 25.2436, 25.7774, 26.2848, 26.8224, 27.3742, 27.9336, + 28.503, 29.0494, 29.6292, 30.2124, 30.798, 31.367, 31.9728, 32.5944, 33.217, 33.8438, + 34.3696, 35.0956, 35.7044, 36.324, 37.0668, 37.6698, 38.3644, 39.049, 39.6918, 40.4146, + 41.082, 41.687, 42.5398, 43.2462, 43.857, 44.6606, 45.4168, 46.1248, 46.9222, 47.6804, + 48.447, 49.3454, 49.9594, 50.7636, 51.5776, 52.331, 53.19, 53.9676, 54.7564, 55.5314, + 56.4442, 57.3708, 57.9774, 58.9624, 59.8796, 60.755, 61.472, 62.2076, 63.1024, 63.8908, + 64.7338, 65.7728, 66.629, 67.413, 68.3266, 69.1524, 70.2642, 71.1806, 72.0566, 72.9192, + 73.7598, 74.3516, 75.5802, 76.4386, 77.4916, 78.1524, 79.1892, 79.8414, 80.8798, 81.8376, + 82.4698, 83.7656, 84.331, 85.5914, 86.6012, 87.7016, 88.5582, 89.3394, 90.3544, 91.4912, + 92.308, 93.3552, 93.9746, 95.2052, 95.727, 97.1322, 98.3944, 98.7588, 100.242, 101.1914, + 102.2538, 102.8776, 103.6292, 105.1932, 105.9152, 107.0868, 107.6728, 108.7144, 110.3114, + 110.8716, 111.245, 112.7908, 113.7064, 114.636, 115.7464, 116.1788, 117.7464, 118.4896, + 119.6166, 120.5082, 121.7798, 122.9028, 123.4426, 124.8854, 125.705, 126.4652, 128.3464, + 128.3462, 130.0398, 131.0342, 131.0042, 132.4766, 133.511, 134.7252, 135.425, 136.5172, + 138.0572, 138.6694, 139.3712, 140.8598, 141.4594, 142.554, 143.4006, 144.7374, 146.1634, + 146.8994, 147.605, 147.9304, 149.1636, 150.2468, 151.5876, 152.2096, 153.7032, 154.7146, + 155.807, 156.9228, 157.0372, 158.5852, }, + // precision 6 + { 46, 46.1902, 47.271, 47.8358, 48.8142, 49.2854, 50.317, 51.354, 51.8924, 52.9436, 53.4596, + 54.5262, 55.6248, 56.1574, 57.2822, 57.837, 58.9636, 60.074, 60.7042, 61.7976, 62.4772, + 63.6564, 64.7942, 65.5004, 66.686, 67.291, 68.5672, 69.8556, 70.4982, 71.8204, 72.4252, + 73.7744, 75.0786, 75.8344, 77.0294, 77.8098, 79.0794, 80.5732, 81.1878, 82.5648, 83.2902, + 84.6784, 85.3352, 86.8946, 88.3712, 89.0852, 90.499, 91.2686, 92.6844, 94.2234, 94.9732, + 96.3356, 97.2286, 98.7262, 100.3284, 101.1048, 102.5962, 103.3562, 105.1272, 106.4184, + 107.4974, 109.0822, 109.856, 111.48, 113.2834, 114.0208, 115.637, 116.5174, 118.0576, + 119.7476, 120.427, 122.1326, 123.2372, 125.2788, 126.6776, 127.7926, 129.1952, 129.9564, + 131.6454, 133.87, 134.5428, 136.2, 137.0294, 138.6278, 139.6782, 141.792, 143.3516, + 144.2832, 146.0394, 147.0748, 148.4912, 150.849, 151.696, 153.5404, 154.073, 156.3714, + 157.7216, 158.7328, 160.4208, 161.4184, 163.9424, 165.2772, 166.411, 168.1308, 168.769, + 170.9258, 172.6828, 173.7502, 175.706, 176.3886, 179.0186, 180.4518, 181.927, 183.4172, + 184.4114, 186.033, 188.5124, 189.5564, 191.6008, 192.4172, 193.8044, 194.997, 197.4548, + 198.8948, 200.2346, 202.3086, 203.1548, 204.8842, 206.6508, 206.6772, 209.7254, 210.4752, + 212.7228, 214.6614, 215.1676, 217.793, 218.0006, 219.9052, 221.66, 223.5588, 225.1636, + 225.6882, 227.7126, 229.4502, 231.1978, 232.9756, 233.1654, 236.727, 238.1974, 237.7474, + 241.1346, 242.3048, 244.1948, 245.3134, 246.879, 249.1204, 249.853, 252.6792, 253.857, + 254.4486, 257.2362, 257.9534, 260.0286, 260.5632, 262.663, 264.723, 265.7566, 267.2566, + 267.1624, 270.62, 272.8216, 273.2166, 275.2056, 276.2202, 278.3726, 280.3344, 281.9284, + 283.9728, 284.1924, 286.4872, 287.587, 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441210.5415, 444379.2545, 447577.356, 450741.931, 453959.548, 457137.0935, 460329.846, + 463537.4815, 466732.3345, 469960.5615, 473164.681, 476347.6345, 479496.173, 482813.1645, + 486025.6995, 489249.4885, 492460.1945, 495675.8805, 498908.0075, 502131.802, 505374.3855, + 508550.9915, 511806.7305, 515026.776, 518217.0005, 521523.9855, 524705.9855, 527950.997, + 531210.0265, 534472.497, 537750.7315, 540926.922, 544207.094, 547429.4345, 550666.3745, + 553975.3475, 557150.7185, 560399.6165, 563662.697, 566916.7395, 570146.1215, 573447.425, + 576689.6245, 579874.5745, 583202.337, 586503.0255, 589715.635, 592910.161, 596214.3885, + 599488.035, 602740.92, 605983.0685, 609248.67, 612491.3605, 615787.912, 619107.5245, + 622307.9555, 625577.333, 628840.4385, 632085.2155, 635317.6135, 638691.7195, 641887.467, + 645139.9405, 648441.546, 651666.252, 654941.845, }, + // precision 18 + { 189084, 192250.913, 195456.774, 198696.946, 201977.762, 205294.444, 208651.754, 212042.099, + 215472.269, 218941.91, 222443.912, 225996.845, 229568.199, 233193.568, 236844.457, + 240543.233, 244279.475, 248044.27, 251854.588, 255693.2, 259583.619, 263494.621, + 267445.385, 271454.061, 275468.769, 279549.456, 283646.446, 287788.198, 291966.099, + 296181.164, 300431.469, 304718.618, 309024.004, 313393.508, 317760.803, 322209.731, + 326675.061, 331160.627, 335654.47, 340241.442, 344841.833, 349467.132, 354130.629, + 358819.432, 363574.626, 368296.587, 373118.482, 377914.93, 382782.301, 387680.669, + 392601.981, 397544.323, 402529.115, 407546.018, 412593.658, 417638.657, 422762.865, + 427886.169, 433017.167, 438213.273, 443441.254, 448692.421, 453937.533, 459239.049, + 464529.569, 469910.083, 475274.03, 480684.473, 486070.26, 491515.237, 496995.651, + 502476.617, 507973.609, 513497.19, 519083.233, 524726.509, 530305.505, 535945.728, + 541584.404, 547274.055, 552967.236, 558667.862, 564360.216, 570128.148, 575965.08, + 581701.952, 587532.523, 593361.144, 599246.128, 605033.418, 610958.779, 616837.117, + 622772.818, 628672.04, 634675.369, 640574.831, 646585.739, 652574.547, 658611.217, + 664642.684, 670713.914, 676737.681, 682797.313, 688837.897, 694917.874, 701009.882, + 707173.648, 713257.254, 719415.392, 725636.761, 731710.697, 737906.209, 744103.074, + 750313.39, 756504.185, 762712.579, 768876.985, 775167.859, 781359, 787615.959, + 793863.597, 800245.477, 806464.582, 812785.294, 819005.925, 825403.057, 831676.197, + 837936.284, 844266.968, 850642.711, 856959.756, 863322.774, 869699.931, 876102.478, + 882355.787, 888694.463, 895159.952, 901536.143, 907872.631, 914293.672, 920615.14, + 927130.974, 933409.404, 939922.178, 946331.47, 952745.93, 959209.264, 965590.224, + 972077.284, 978501.961, 984953.19, 991413.271, 997817.479, 1004222.658, 1010725.676, + 1017177.138, 1023612.529, 1030098.236, 1036493.719, 1043112.207, 1049537.036, + 1056008.096, 1062476.184, 1068942.337, 1075524.95, 1081932.864, 1088426.025, 1094776.005, + 1101327.448, 1107901.673, 1114423.639, 1120884.602, 1127324.923, 1133794.24, 1140328.886, + 1146849.376, 1153346.682, 1159836.502, 1166478.703, 1172953.304, 1179391.502, + 1185950.982, 1192544.052, 1198913.41, 1205430.994, 1212015.525, 1218674.042, 1225121.683, + 1231551.101, 1238126.379, 1244673.795, 1251260.649, 1257697.86, 1264320.983, 1270736.319, + 1277274.694, 1283804.95, 1290211.514, 1296858.568, 1303455.691, } }; + + public static final double[][] biasData = { + // precision 4 + { 10, 9.717, 9.207, 8.7896, 8.2882, 7.8204, 7.3772, 6.9342, 6.5202, 6.161, 5.7722, 5.4636, + 5.0396, 4.6766, 4.3566, 4.0454, 3.7936, 3.4856, 3.2666, 2.9946, 2.766, 2.4692, 2.3638, + 2.0764, 1.7864, 1.7602, 1.4814, 1.433, 1.2926, 1.0664, 0.999600000000001, 0.7956, 0.5366, + 0.589399999999998, 0.573799999999999, 0.269799999999996, 0.368200000000002, + 0.0544000000000011, 0.234200000000001, 0.0108000000000033, -0.203400000000002, + -0.0701999999999998, -0.129600000000003, -0.364199999999997, -0.480600000000003, + -0.226999999999997, -0.322800000000001, -0.382599999999996, -0.511200000000002, + -0.669600000000003, -0.749400000000001, -0.500399999999999, -0.617600000000003, -0.6922, + -0.601599999999998, -0.416200000000003, -0.338200000000001, -0.782600000000002, + -0.648600000000002, -0.919800000000002, -0.851799999999997, -0.962400000000002, -0.6402, + -1.1922, -1.0256, -1.086, -1.21899999999999, -0.819400000000002, -0.940600000000003, + -1.1554, -1.2072, -1.1752, -1.16759999999999, -1.14019999999999, -1.3754, + -1.29859999999999, -1.607, -1.3292, -1.7606, }, + // precision 5 + { 22, 21.1194, 20.8208, 20.2318, 19.77, 19.2436, 18.7774, 18.2848, 17.8224, 17.3742, 16.9336, + 16.503, 16.0494, 15.6292, 15.2124, 14.798, 14.367, 13.9728, 13.5944, 13.217, 12.8438, + 12.3696, 12.0956, 11.7044, 11.324, 11.0668, 10.6698, 10.3644, 10.049, 9.6918, 9.4146, + 9.082, 8.687, 8.5398, 8.2462, 7.857, 7.6606, 7.4168, 7.1248, 6.9222, 6.6804, 6.447, + 6.3454, 5.9594, 5.7636, 5.5776, 5.331, 5.19, 4.9676, 4.7564, 4.5314, 4.4442, 4.3708, + 3.9774, 3.9624, 3.8796, 3.755, 3.472, 3.2076, 3.1024, 2.8908, 2.7338, 2.7728, 2.629, + 2.413, 2.3266, 2.1524, 2.2642, 2.1806, 2.0566, 1.9192, 1.7598, 1.3516, 1.5802, + 1.43859999999999, 1.49160000000001, 1.1524, 1.1892, 0.841399999999993, 0.879800000000003, + 0.837599999999995, 0.469800000000006, 0.765600000000006, 0.331000000000003, + 0.591399999999993, 0.601200000000006, 0.701599999999999, 0.558199999999999, + 0.339399999999998, 0.354399999999998, 0.491200000000006, 0.308000000000007, + 0.355199999999996, -0.0254000000000048, 0.205200000000005, -0.272999999999996, + 0.132199999999997, 0.394400000000005, -0.241200000000006, 0.242000000000004, + 0.191400000000002, 0.253799999999998, -0.122399999999999, -0.370800000000003, + 0.193200000000004, -0.0848000000000013, 0.0867999999999967, -0.327200000000005, + -0.285600000000002, 0.311400000000006, -0.128399999999999, -0.754999999999995, + -0.209199999999996, -0.293599999999998, -0.364000000000004, -0.253600000000006, + -0.821200000000005, -0.253600000000006, -0.510400000000004, -0.383399999999995, + -0.491799999999998, -0.220200000000006, -0.0972000000000008, -0.557400000000001, + -0.114599999999996, -0.295000000000002, -0.534800000000004, 0.346399999999988, + -0.65379999999999, 0.0398000000000138, 0.0341999999999985, -0.995800000000003, + -0.523400000000009, -0.489000000000004, -0.274799999999999, -0.574999999999989, + -0.482799999999997, 0.0571999999999946, -0.330600000000004, -0.628800000000012, + -0.140199999999993, -0.540600000000012, -0.445999999999998, -0.599400000000003, + -0.262599999999992, 0.163399999999996, -0.100599999999986, -0.39500000000001, + -1.06960000000001, -0.836399999999998, -0.753199999999993, -0.412399999999991, + -0.790400000000005, -0.29679999999999, -0.28540000000001, -0.193000000000012, + -0.0772000000000048, -0.962799999999987, -0.414800000000014, }, + // precision 6 + { 45, 44.1902, 43.271, 42.8358, 41.8142, 41.2854, 40.317, 39.354, 38.8924, 37.9436, 37.4596, + 36.5262, 35.6248, 35.1574, 34.2822, 33.837, 32.9636, 32.074, 31.7042, 30.7976, 30.4772, + 29.6564, 28.7942, 28.5004, 27.686, 27.291, 26.5672, 25.8556, 25.4982, 24.8204, 24.4252, + 23.7744, 23.0786, 22.8344, 22.0294, 21.8098, 21.0794, 20.5732, 20.1878, 19.5648, 19.2902, + 18.6784, 18.3352, 17.8946, 17.3712, 17.0852, 16.499, 16.2686, 15.6844, 15.2234, 14.9732, + 14.3356, 14.2286, 13.7262, 13.3284, 13.1048, 12.5962, 12.3562, 12.1272, 11.4184, 11.4974, + 11.0822, 10.856, 10.48, 10.2834, 10.0208, 9.637, 9.51739999999999, 9.05759999999999, + 8.74760000000001, 8.42700000000001, 8.1326, 8.2372, 8.2788, 7.6776, 7.79259999999999, + 7.1952, 6.9564, 6.6454, 6.87, 6.5428, 6.19999999999999, 6.02940000000001, + 5.62780000000001, 5.6782, 5.792, 5.35159999999999, 5.28319999999999, 5.0394, + 5.07480000000001, 4.49119999999999, 4.84899999999999, 4.696, 4.54040000000001, + 4.07300000000001, 4.37139999999999, 3.7216, 3.7328, 3.42080000000001, 3.41839999999999, + 3.94239999999999, 3.27719999999999, 3.411, 3.13079999999999, 2.76900000000001, + 2.92580000000001, 2.68279999999999, 2.75020000000001, 2.70599999999999, 2.3886, + 3.01859999999999, 2.45179999999999, 2.92699999999999, 2.41720000000001, 2.41139999999999, + 2.03299999999999, 2.51240000000001, 2.5564, 2.60079999999999, 2.41720000000001, + 1.80439999999999, 1.99700000000001, 2.45480000000001, 1.8948, 2.2346, 2.30860000000001, + 2.15479999999999, 1.88419999999999, 1.6508, 0.677199999999999, 1.72540000000001, 1.4752, + 1.72280000000001, 1.66139999999999, 1.16759999999999, 1.79300000000001, 1.00059999999999, + 0.905200000000008, 0.659999999999997, 1.55879999999999, 1.1636, 0.688199999999995, + 0.712600000000009, 0.450199999999995, 1.1978, 0.975599999999986, 0.165400000000005, + 1.727, 1.19739999999999, -0.252600000000001, 1.13460000000001, 1.3048, 1.19479999999999, + 0.313400000000001, 0.878999999999991, 1.12039999999999, 0.853000000000009, + 1.67920000000001, 0.856999999999999, 0.448599999999999, 1.2362, 0.953399999999988, + 1.02859999999998, 0.563199999999995, 0.663000000000011, 0.723000000000013, + 0.756599999999992, 0.256599999999992, -0.837600000000009, 0.620000000000005, + 0.821599999999989, 0.216600000000028, 0.205600000000004, 0.220199999999977, + 0.372599999999977, 0.334400000000016, 0.928400000000011, 0.972800000000007, + 0.192400000000021, 0.487199999999973, -0.413000000000011, 0.807000000000016, + 0.120600000000024, 0.769000000000005, 0.870799999999974, 0.66500000000002, + 0.118200000000002, 0.401200000000017, 0.635199999999998, 0.135400000000004, + 0.175599999999974, 1.16059999999999, 0.34620000000001, 0.521400000000028, + -0.586599999999976, -1.16480000000001, 0.968399999999974, 0.836999999999989, + 0.779600000000016, 0.985799999999983, }, + // precision 7 + { 91, 89.4934, 87.9758, 86.4574, 84.9718, 83.4954, 81.5302, 80.0756, 78.6374, 77.1782, + 75.7888, 73.9522, 72.592, 71.2532, 69.9086, 68.5938, 66.9474, 65.6796, 64.4394, 63.2176, + 61.9768, 60.4214, 59.2528, 58.0102, 56.8658, 55.7278, 54.3044, 53.1316, 52.093, 51.0032, + 49.9092, 48.6306, 47.5294, 46.5756, 45.6508, 44.662, 43.552, 42.3724, 41.617, 40.5754, + 39.7872, 38.8444, 37.7988, 36.8606, 36.2118, 35.3566, 34.4476, 33.5882, 32.6816, 32.0824, + 31.0258, 30.6048, 29.4436, 28.7274, 27.957, 27.147, 26.4364, 25.7592, 25.3386, 24.781, + 23.8028, 23.656, 22.6544, 21.996, 21.4718, 21.1544, 20.6098, 19.5956, 19.0616, 18.5758, + 18.4878, 17.5244, 17.2146, 16.724, 15.8722, 15.5198, 15.0414, 14.941, 14.9048, 13.87, + 13.4304, 13.028, 12.4708, 12.37, 12.0624, 11.4668, 11.5532, 11.4352, 11.2564, 10.2744, + 10.2118, 9.74720000000002, 10.1456, 9.2928, 8.75040000000001, 8.55279999999999, + 8.97899999999998, 8.21019999999999, 8.18340000000001, 7.3494, 7.32499999999999, + 7.66140000000001, 6.90300000000002, 7.25439999999998, 6.9042, 7.21499999999997, + 6.28640000000001, 6.08139999999997, 6.6764, 6.30099999999999, 5.13900000000001, + 5.65800000000002, 5.17320000000001, 4.59019999999998, 4.9538, 5.08280000000002, + 4.92200000000003, 4.99020000000002, 4.7328, 5.4538, 4.11360000000002, 4.22340000000003, + 4.08780000000002, 3.70800000000003, 4.15559999999999, 4.18520000000001, 3.63720000000001, + 3.68220000000002, 3.77960000000002, 3.6078, 2.49160000000001, 3.13099999999997, 2.5376, + 3.19880000000001, 3.21100000000001, 2.4502, 3.52820000000003, 2.91199999999998, + 3.04480000000001, 2.7432, 2.85239999999999, 2.79880000000003, 2.78579999999999, + 1.88679999999999, 2.98860000000002, 2.50639999999999, 1.91239999999999, 2.66160000000002, + 2.46820000000002, 1.58199999999999, 1.30399999999997, 2.27379999999999, 2.68939999999998, + 1.32900000000001, 3.10599999999999, 1.69080000000002, 2.13740000000001, 2.53219999999999, + 1.88479999999998, 1.33240000000001, 1.45119999999997, 1.17899999999997, 2.44119999999998, + 1.60659999999996, 2.16700000000003, 0.77940000000001, 2.37900000000002, 2.06700000000001, + 1.46000000000004, 2.91160000000002, 1.69200000000001, 0.954600000000028, + 2.49300000000005, 2.2722, 1.33500000000004, 2.44899999999996, 1.20140000000004, + 3.07380000000001, 2.09739999999999, 2.85640000000001, 2.29960000000005, 2.40899999999999, + 1.97040000000004, 0.809799999999996, 1.65279999999996, 2.59979999999996, + 0.95799999999997, 2.06799999999998, 2.32780000000002, 4.20159999999998, 1.96320000000003, + 1.86400000000003, 1.42999999999995, 3.77940000000001, 1.27200000000005, 1.86440000000005, + 2.20600000000002, 3.21900000000005, 1.5154, 2.61019999999996, }, + // precision 8 + { 183.2152, 180.2454, 177.2096, 173.6652, 170.6312, 167.6822, 164.249, 161.3296, 158.0038, + 155.2074, 152.4612, 149.27, 146.5178, 143.4412, 140.8032, 138.1634, 135.1688, 132.6074, + 129.6946, 127.2664, 124.8228, 122.0432, 119.6824, 116.9464, 114.6268, 112.2626, 109.8376, + 107.4034, 104.8956, 102.8522, 100.7638, 98.3552, 96.3556, 93.7526, 91.9292, 89.8954, + 87.8198, 85.7668, 83.298, 81.6688, 79.9466, 77.9746, 76.1672, 74.3474, 72.3028, 70.8912, + 69.114, 67.4646, 65.9744, 64.4092, 62.6022, 60.843, 59.5684, 58.1652, 56.5426, 55.4152, + 53.5388, 52.3592, 51.1366, 49.486, 48.3918, 46.5076, 45.509, 44.3834, 43.3498, 42.0668, + 40.7346, 40.1228, 38.4528, 37.7, 36.644, 36.0518, 34.5774, 33.9068, 32.432, 32.1666, + 30.434, 29.6644, 28.4894, 27.6312, 26.3804, 26.292, 25.5496000000001, 25.0234, 24.8206, + 22.6146, 22.4188, 22.117, 20.6762, 20.6576, 19.7864, 19.509, 18.5334, 17.9204, 17.772, + 16.2924, 16.8654, 15.1836, 15.745, 15.1316, 15.0386, 14.0136, 13.6342, 12.6196, 12.1866, + 12.4281999999999, 11.3324, 10.4794000000001, 11.5038, 10.129, 9.52800000000002, + 10.3203999999999, 9.46299999999997, 9.79280000000006, 9.12300000000005, 8.74180000000001, + 9.2192, 7.51020000000005, 7.60659999999996, 7.01840000000004, 7.22239999999999, + 7.40139999999997, 6.76179999999999, 7.14359999999999, 5.65060000000005, 5.63779999999997, + 5.76599999999996, 6.75139999999999, 5.57759999999996, 3.73220000000003, 5.8048, + 5.63019999999995, 4.93359999999996, 3.47979999999995, 4.33879999999999, 3.98940000000005, + 3.81960000000004, 3.31359999999995, 3.23080000000004, 3.4588, 3.08159999999998, 3.4076, + 3.00639999999999, 2.38779999999997, 2.61900000000003, 1.99800000000005, 3.34820000000002, + 2.95060000000001, 0.990999999999985, 2.11440000000005, 2.20299999999997, + 2.82219999999995, 2.73239999999998, 2.7826, 3.76660000000004, 2.26480000000004, + 2.31280000000004, 2.40819999999997, 2.75360000000001, 3.33759999999995, 2.71559999999999, + 1.7478000000001, 1.42920000000004, 2.39300000000003, 2.22779999999989, 2.34339999999997, + 0.87259999999992, 3.88400000000001, 1.80600000000004, 1.91759999999999, 1.16779999999994, + 1.50320000000011, 2.52500000000009, 0.226400000000012, 2.31500000000005, + 0.930000000000064, 1.25199999999995, 2.14959999999996, 0.0407999999999902, + 2.5447999999999, 1.32960000000003, 0.197400000000016, 2.52620000000002, 3.33279999999991, + -1.34300000000007, 0.422199999999975, 0.917200000000093, 1.12920000000008, + 1.46060000000011, 1.45779999999991, 2.8728000000001, 3.33359999999993, -1.34079999999994, + 1.57680000000005, 0.363000000000056, 1.40740000000005, 0.656600000000026, + 0.801400000000058, -0.454600000000028, 1.51919999999996, }, + // precision 9 + { 368, 361.8294, 355.2452, 348.6698, 342.1464, 336.2024, 329.8782, 323.6598, 317.462, + 311.2826, 305.7102, 299.7416, 293.9366, 288.1046, 282.285, 277.0668, 271.306, 265.8448, + 260.301, 254.9886, 250.2422, 244.8138, 239.7074, 234.7428, 229.8402, 225.1664, 220.3534, + 215.594, 210.6886, 205.7876, 201.65, 197.228, 192.8036, 188.1666, 184.0818, 180.0824, + 176.2574, 172.302, 168.1644, 164.0056, 160.3802, 156.7192, 152.5234, 149.2084, 145.831, + 142.485, 139.1112, 135.4764, 131.76, 129.3368, 126.5538, 122.5058, 119.2646, 116.5902, + 113.3818, 110.8998, 107.9532, 105.2062, 102.2798, 99.4728, 96.9582, 94.3292, 92.171, + 89.7809999999999, 87.5716, 84.7048, 82.5322, 79.875, 78.3972, 75.3464, 73.7274, 71.2834, + 70.1444, 68.4263999999999, 66.0166, 64.018, 62.0437999999999, 60.3399999999999, 58.6856, + 57.9836, 55.0311999999999, 54.6769999999999, 52.3188, 51.4846, 49.4423999999999, 47.739, + 46.1487999999999, 44.9202, 43.4059999999999, 42.5342000000001, 41.2834, 38.8954000000001, + 38.3286000000001, 36.2146, 36.6684, 35.9946, 33.123, 33.4338, 31.7378000000001, 29.076, + 28.9692, 27.4964, 27.0998, 25.9864, 26.7754, 24.3208, 23.4838, 22.7388000000001, + 24.0758000000001, 21.9097999999999, 20.9728, 19.9228000000001, 19.9292, 16.617, 17.05, + 18.2996000000001, 15.6128000000001, 15.7392, 14.5174, 13.6322, 12.2583999999999, + 13.3766000000001, 11.423, 13.1232, 9.51639999999998, 10.5938000000001, 9.59719999999993, + 8.12220000000002, 9.76739999999995, 7.50440000000003, 7.56999999999994, 6.70440000000008, + 6.41419999999994, 6.71019999999999, 5.60940000000005, 4.65219999999999, 6.84099999999989, + 3.4072000000001, 3.97859999999991, 3.32760000000007, 5.52160000000003, 3.31860000000006, + 2.06940000000009, 4.35400000000004, 1.57500000000005, 0.280799999999999, + 2.12879999999996, -0.214799999999968, -0.0378000000000611, -0.658200000000079, + 0.654800000000023, -0.0697999999999865, 0.858400000000074, -2.52700000000004, + -2.1751999999999, -3.35539999999992, -1.04019999999991, -0.651000000000067, + -2.14439999999991, -1.96659999999997, -3.97939999999994, -0.604400000000169, + -3.08260000000018, -3.39159999999993, -5.29640000000018, -5.38920000000007, + -5.08759999999984, -4.69900000000007, -5.23720000000003, -3.15779999999995, + -4.97879999999986, -4.89899999999989, -7.48880000000008, -5.94799999999987, + -5.68060000000014, -6.67180000000008, -4.70499999999993, -7.27779999999984, + -4.6579999999999, -4.4362000000001, -4.32139999999981, -5.18859999999995, + -6.66879999999992, -6.48399999999992, -5.1260000000002, -4.4032000000002, + -6.13500000000022, -5.80819999999994, -4.16719999999987, -4.15039999999999, + -7.45600000000013, -7.24080000000004, -9.83179999999993, -5.80420000000004, + -8.6561999999999, -6.99940000000015, -10.5473999999999, -7.34139999999979, + -6.80999999999995, -6.29719999999998, -6.23199999999997, }, + // precision 10 + { 737.1256, 724.4234, 711.1064, 698.4732, 685.4636, 673.0644, 660.488, 647.9654, 636.0832, + 623.7864, 612.1992, 600.2176, 588.5228, 577.1716, 565.7752, 554.899, 543.6126, 532.6492, + 521.9474, 511.5214, 501.1064, 490.6364, 480.2468, 470.4588, 460.3832, 451.0584, 440.8606, + 431.3868, 422.5062, 413.1862, 404.463, 395.339, 386.1936, 378.1292, 369.1854, 361.2908, + 353.3324, 344.8518, 337.5204, 329.4854, 321.9318, 314.552, 306.4658, 299.4256, 292.849, + 286.152, 278.8956, 271.8792, 265.118, 258.62, 252.5132, 245.9322, 239.7726, 233.6086, + 227.5332, 222.5918, 216.4294, 210.7662, 205.4106, 199.7338, 194.9012, 188.4486, 183.1556, + 178.6338, 173.7312, 169.6264, 163.9526, 159.8742, 155.8326, 151.1966, 147.5594, 143.07, + 140.037, 134.1804, 131.071, 127.4884, 124.0848, 120.2944, 117.333, 112.9626, 110.2902, + 107.0814, 103.0334, 99.4832000000001, 96.3899999999999, 93.7202000000002, + 90.1714000000002, 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// precision 11 + { 1476, 1449.6014, 1423.5802, 1397.7942, 1372.3042, 1347.2062, 1321.8402, 1297.2292, + 1272.9462, 1248.9926, 1225.3026, 1201.4252, 1178.0578, 1155.6092, 1132.626, 1110.5568, + 1088.527, 1066.5154, 1045.1874, 1024.3878, 1003.37, 982.1972, 962.5728, 942.1012, + 922.9668, 903.292, 884.0772, 864.8578, 846.6562, 828.041, 809.714, 792.3112, 775.1806, + 757.9854, 740.656, 724.346, 707.5154, 691.8378, 675.7448, 659.6722, 645.5722, 630.1462, + 614.4124, 600.8728, 585.898, 572.408, 558.4926, 544.4938, 531.6776, 517.282, 505.7704, + 493.1012, 480.7388, 467.6876, 456.1872, 445.5048, 433.0214, 420.806, 411.409, 400.4144, + 389.4294, 379.2286, 369.651, 360.6156, 350.337, 342.083, 332.1538, 322.5094, 315.01, + 305.6686, 298.1678, 287.8116, 280.9978, 271.9204, 265.3286, 257.5706, 249.6014, 242.544, + 235.5976, 229.583, 220.9438, 214.672, 208.2786, 201.8628, 195.1834, 191.505, 186.1816, + 178.5188, 172.2294, 167.8908, 161.0194, 158.052, 151.4588, 148.1596, 143.4344, 138.5238, + 133.13, 127.6374, 124.8162, 118.7894, 117.3984, 114.6078, 109.0858, 105.1036, 103.6258, + 98.6018000000004, 95.7618000000002, 93.5821999999998, 88.5900000000001, 86.9992000000002, + 82.8800000000001, 80.4539999999997, 74.6981999999998, 74.3644000000004, 73.2914000000001, + 65.5709999999999, 66.9232000000002, 65.1913999999997, 62.5882000000001, 61.5702000000001, + 55.7035999999998, 56.1764000000003, 52.7596000000003, 53.0302000000001, 49.0609999999997, + 48.4694, 44.933, 46.0474000000004, 44.7165999999997, 41.9416000000001, 39.9207999999999, + 35.6328000000003, 35.5276000000003, 33.1934000000001, 33.2371999999996, 33.3864000000003, + 33.9228000000003, 30.2371999999996, 29.1373999999996, 25.2272000000003, 24.2942000000003, + 19.8338000000003, 18.9005999999999, 23.0907999999999, 21.8544000000002, 19.5176000000001, + 15.4147999999996, 16.9314000000004, 18.6737999999996, 12.9877999999999, 14.3688000000002, + 12.0447999999997, 15.5219999999999, 12.5299999999997, 14.5940000000001, 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2450.8376, 2403.6076, 2357.451, 2311.38, 2266.4104, 2221.5638, 2176.9676, + 2134.193, 2090.838, 2048.8548, 2007.018, 1966.1742, 1925.4482, 1885.1294, 1846.4776, + 1807.4044, 1768.8724, 1731.3732, 1693.4304, 1657.5326, 1621.949, 1586.5532, 1551.7256, + 1517.6182, 1483.5186, 1450.4528, 1417.865, 1385.7164, 1352.6828, 1322.6708, 1291.8312, + 1260.9036, 1231.476, 1201.8652, 1173.6718, 1145.757, 1119.2072, 1092.2828, 1065.0434, + 1038.6264, 1014.3192, 988.5746, 965.0816, 940.1176, 917.9796, 894.5576, 871.1858, + 849.9144, 827.1142, 805.0818, 783.9664, 763.9096, 742.0816, 724.3962, 706.3454, 688.018, + 667.4214, 650.3106, 633.0686, 613.8094, 597.818, 581.4248, 563.834, 547.363, 531.5066, + 520.455400000001, 505.583199999999, 488.366, 476.480799999999, 459.7682, 450.0522, + 434.328799999999, 423.952799999999, 408.727000000001, 399.079400000001, 387.252200000001, + 373.987999999999, 360.852000000001, 351.6394, 339.642, 330.902400000001, + 322.661599999999, 311.662200000001, 301.3254, 291.7484, 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50.9149999999936, + 39.0384000000049, 58.9395999999979, 29.633600000001, 28.2032000000036, 26.0078000000067, + 17.0387999999948, 9.22000000000116, 13.8387999999977, 8.07240000000456, 14.1549999999988, + 15.3570000000036, 3.42660000000615, 6.24820000000182, -2.96940000000177, + -8.79940000000352, -5.97860000000219, -14.4048000000039, -3.4143999999942, + -13.0148000000045, -11.6977999999945, -25.7878000000055, -22.3185999999987, + -24.409599999999, -31.9756000000052, -18.9722000000038, -22.8678000000073, + -30.8972000000067, -32.3715999999986, -22.3907999999938, -43.6720000000059, -35.9038, + -39.7492000000057, -54.1641999999993, -45.2749999999942, -42.2989999999991, + -44.1089999999967, -64.3564000000042, -49.9551999999967, -42.6116000000038, }, + // precision 15 + { 23634.0036, 23210.8034, 22792.4744, 22379.1524, 21969.7928, 21565.326, 21165.3532, + 20770.2806, 20379.9892, 19994.7098, 19613.318, 19236.799, 18865.4382, 18498.8244, + 18136.5138, 17778.8668, 17426.2344, 17079.32, 16734.778, 16397.2418, 16063.3324, + 15734.0232, 15409.731, 15088.728, 14772.9896, 14464.1402, 14157.5588, 13855.5958, + 13559.3296, 13264.9096, 12978.326, 12692.0826, 12413.8816, 12137.3192, 11870.2326, + 11602.5554, 11340.3142, 11079.613, 10829.5908, 10583.5466, 10334.0344, 10095.5072, + 9859.694, 9625.2822, 9395.7862, 9174.0586, 8957.3164, 8738.064, 8524.155, 8313.7396, + 8116.9168, 7913.542, 7718.4778, 7521.65, 7335.5596, 7154.2906, 6968.7396, 6786.3996, + 6613.236, 6437.406, 6270.6598, 6107.7958, 5945.7174, 5787.6784, 5635.5784, 5482.308, + 5337.9784, 5190.0864, 5045.9158, 4919.1386, 4771.817, 4645.7742, 4518.4774, 4385.5454, + 4262.6622, 4142.74679999999, 4015.5318, 3897.9276, 3790.7764, 3685.13800000001, + 3573.6274, 3467.9706, 3368.61079999999, 3271.5202, 3170.3848, 3076.4656, + 2982.38400000001, 2888.4664, 2806.4868, 2711.9564, 2634.1434, 2551.3204, 2469.7662, + 2396.61139999999, 2318.9902, 2243.8658, 2171.9246, 2105.01360000001, 2028.8536, + 1960.9952, 1901.4096, 1841.86079999999, 1777.54700000001, 1714.5802, 1654.65059999999, + 1596.311, 1546.2016, 1492.3296, 1433.8974, 1383.84600000001, 1339.4152, 1293.5518, + 1245.8686, 1193.50659999999, 1162.27959999999, 1107.19439999999, 1069.18060000001, + 1035.09179999999, 999.679000000004, 957.679999999993, 925.300199999998, 888.099400000006, + 848.638600000006, 818.156400000007, 796.748399999997, 752.139200000005, 725.271200000003, + 692.216, 671.633600000001, 647.939799999993, 621.670599999998, 575.398799999995, + 561.226599999995, 532.237999999998, 521.787599999996, 483.095799999996, 467.049599999998, + 465.286399999997, 415.548599999995, 401.047399999996, 380.607999999993, 377.362599999993, + 347.258799999996, 338.371599999999, 310.096999999994, 301.409199999995, 276.280799999993, + 265.586800000005, 258.994399999996, 223.915999999997, 215.925399999993, 213.503800000006, + 191.045400000003, 166.718200000003, 166.259000000005, 162.941200000001, 148.829400000002, + 141.645999999993, 123.535399999993, 122.329800000007, 89.473399999988, 80.1962000000058, + 77.5457999999926, 59.1056000000099, 83.3509999999951, 52.2906000000075, 36.3979999999865, + 40.6558000000077, 42.0003999999899, 19.6630000000005, 19.7153999999864, + -8.38539999999921, -0.692799999989802, 0.854800000000978, 3.23219999999856, + -3.89040000000386, -5.25880000001052, -24.9052000000083, -22.6837999999989, + -26.4286000000138, -34.997000000003, -37.0216000000073, -43.430400000012, + -58.2390000000014, -68.8034000000043, -56.9245999999985, -57.8583999999973, + -77.3097999999882, -73.2793999999994, -81.0738000000129, -87.4530000000086, + -65.0254000000132, -57.296399999992, -96.2746000000043, -103.25, -96.081600000005, + -91.5542000000132, -102.465200000006, -107.688599999994, -101.458000000013, + -109.715800000005, }, + // precision 16 + { 47270, 46423.3584, 45585.7074, 44757.152, 43938.8416, 43130.9514, 42330.03, 41540.407, + 40759.6348, 39988.206, 39226.5144, 38473.2096, 37729.795, 36997.268, 36272.6448, + 35558.665, 34853.0248, 34157.4472, 33470.5204, 32793.5742, 32127.0194, 31469.4182, + 30817.6136, 30178.6968, 29546.8908, 28922.8544, 28312.271, 27707.0924, 27114.0326, + 26526.692, 25948.6336, 25383.7826, 24823.5998, 24272.2974, 23732.2572, 23201.4976, + 22674.2796, 22163.6336, 21656.515, 21161.7362, 20669.9368, 20189.4424, 19717.3358, + 19256.3744, 18795.9638, 18352.197, 17908.5738, 17474.391, 17052.918, 16637.2236, + 16228.4602, 15823.3474, 15428.6974, 15043.0284, 14667.6278, 14297.4588, 13935.2882, + 13578.5402, 13234.6032, 12882.1578, 12548.0728, 12219.231, 11898.0072, 11587.2626, + 11279.9072, 10973.5048, 10678.5186, 10392.4876, 10105.2556, 9825.766, 9562.5444, + 9294.2222, 9038.2352, 8784.848, 8533.2644, 8301.7776, 8058.30859999999, 7822.94579999999, + 7599.11319999999, 7366.90779999999, 7161.217, 6957.53080000001, 6736.212, + 6548.21220000001, 6343.06839999999, 6156.28719999999, 5975.15419999999, 5791.75719999999, + 5621.32019999999, 5451.66, 5287.61040000001, 5118.09479999999, 4957.288, 4798.4246, + 4662.17559999999, 4512.05900000001, 4364.68539999999, 4220.77720000001, 4082.67259999999, + 3957.19519999999, 3842.15779999999, 3699.3328, 3583.01180000001, 3473.8964, + 3338.66639999999, 3233.55559999999, 3117.799, 3008.111, 2909.69140000001, + 2814.86499999999, 2719.46119999999, 2624.742, 2532.46979999999, 2444.7886, 2370.1868, + 2272.45259999999, 2196.19260000001, 2117.90419999999, 2023.2972, 1969.76819999999, + 1885.58979999999, 1833.2824, 1733.91200000001, 1682.54920000001, 1604.57980000001, + 1556.11240000001, 1491.3064, 1421.71960000001, 1371.22899999999, 1322.1324, 1264.7892, + 1196.23920000001, 1143.8474, 1088.67240000001, 1073.60380000001, 1023.11660000001, + 959.036400000012, 927.433199999999, 906.792799999996, 853.433599999989, 841.873800000001, + 791.1054, 756.899999999994, 704.343200000003, 672.495599999995, 622.790399999998, + 611.254799999995, 567.283200000005, 519.406599999988, 519.188400000014, 495.312800000014, + 451.350799999986, 443.973399999988, 431.882199999993, 392.027000000002, 380.924200000009, + 345.128999999986, 298.901400000002, 287.771999999997, 272.625, 247.253000000026, + 222.490600000019, 223.590000000026, 196.407599999977, 176.425999999978, 134.725199999986, + 132.4804, 110.445599999977, 86.7939999999944, 56.7038000000175, 64.915399999998, + 38.3726000000024, 37.1606000000029, 46.170999999973, 49.1716000000015, 15.3362000000197, + 6.71639999997569, -34.8185999999987, -39.4476000000141, 12.6830000000191, + -12.3331999999937, -50.6565999999875, -59.9538000000175, -65.1054000000004, + -70.7576000000117, -106.325200000021, -126.852200000023, -110.227599999984, + -132.885999999999, -113.897200000007, -142.713800000027, -151.145399999979, + -150.799200000009, -177.756200000003, -156.036399999983, -182.735199999996, + -177.259399999981, -198.663600000029, -174.577600000019, -193.84580000001, }, + // precision 17 + { 94541, 92848.811, 91174.019, 89517.558, 87879.9705, 86262.7565, 84663.5125, 83083.7435, + 81521.7865, 79977.272, 78455.9465, 76950.219, 75465.432, 73994.152, 72546.71, 71115.2345, + 69705.6765, 68314.937, 66944.2705, 65591.255, 64252.9485, 62938.016, 61636.8225, + 60355.592, 59092.789, 57850.568, 56624.518, 55417.343, 54231.1415, 53067.387, 51903.526, + 50774.649, 49657.6415, 48561.05, 47475.7575, 46410.159, 45364.852, 44327.053, 43318.4005, + 42325.6165, 41348.4595, 40383.6265, 39436.77, 38509.502, 37594.035, 36695.939, + 35818.6895, 34955.691, 34115.8095, 33293.949, 32465.0775, 31657.6715, 30877.2585, + 30093.78, 29351.3695, 28594.1365, 27872.115, 27168.7465, 26477.076, 25774.541, + 25106.5375, 24452.5135, 23815.5125, 23174.0655, 22555.2685, 21960.2065, 21376.3555, + 20785.1925, 20211.517, 19657.0725, 19141.6865, 18579.737, 18081.3955, 17578.995, + 17073.44, 16608.335, 16119.911, 15651.266, 15194.583, 14749.0495, 14343.4835, 13925.639, + 13504.509, 13099.3885, 12691.2855, 12328.018, 11969.0345, 11596.5145, 11245.6355, + 10917.6575, 10580.9785, 10277.8605, 9926.58100000001, 9605.538, 9300.42950000003, + 8989.97850000003, 8728.73249999998, 8448.3235, 8175.31050000002, 7898.98700000002, + 7629.79100000003, 7413.76199999999, 7149.92300000001, 6921.12650000001, 6677.1545, + 6443.28000000003, 6278.23450000002, 6014.20049999998, 5791.20299999998, 5605.78450000001, + 5438.48800000001, 5234.2255, 5059.6825, 4887.43349999998, 4682.935, 4496.31099999999, + 4322.52250000002, 4191.42499999999, 4021.24200000003, 3900.64799999999, 3762.84250000003, + 3609.98050000001, 3502.29599999997, 3363.84250000003, 3206.54849999998, 3079.70000000001, + 2971.42300000001, 2867.80349999998, 2727.08100000001, 2630.74900000001, 2496.6165, + 2440.902, 2356.19150000002, 2235.58199999999, 2120.54149999999, 2012.25449999998, + 1933.35600000003, 1820.93099999998, 1761.54800000001, 1663.09350000002, 1578.84600000002, + 1509.48149999999, 1427.3345, 1379.56150000001, 1306.68099999998, 1212.63449999999, + 1084.17300000001, 1124.16450000001, 1060.69949999999, 1007.48849999998, 941.194499999983, + 879.880500000028, 836.007500000007, 782.802000000025, 748.385499999975, 647.991500000004, + 626.730500000005, 570.776000000013, 484.000500000024, 513.98550000001, 418.985499999952, + 386.996999999974, 370.026500000036, 355.496999999974, 356.731499999994, 255.92200000002, + 259.094000000041, 205.434499999974, 165.374500000034, 197.347500000033, 95.718499999959, + 67.6165000000037, 54.6970000000438, 31.7395000000251, -15.8784999999916, + 8.42500000004657, -26.3754999999655, -118.425500000012, -66.6629999999423, + -42.9745000000112, -107.364999999991, -189.839000000036, -162.611499999999, + -164.964999999967, -189.079999999958, -223.931499999948, -235.329999999958, + -269.639500000048, -249.087999999989, -206.475499999942, -283.04449999996, + -290.667000000016, -304.561499999953, -336.784499999951, -380.386500000022, + -283.280499999993, -364.533000000054, -389.059499999974, -364.454000000027, + -415.748000000021, -417.155000000028, }, + // precision 18 + { 189083, 185696.913, 182348.774, 179035.946, 175762.762, 172526.444, 169329.754, 166166.099, + 163043.269, 159958.91, 156907.912, 153906.845, 150924.199, 147996.568, 145093.457, + 142239.233, 139421.475, 136632.27, 133889.588, 131174.2, 128511.619, 125868.621, + 123265.385, 120721.061, 118181.769, 115709.456, 113252.446, 110840.198, 108465.099, + 106126.164, 103823.469, 101556.618, 99308.004, 97124.508, 94937.803, 92833.731, + 90745.061, 88677.627, 86617.47, 84650.442, 82697.833, 80769.132, 78879.629, 77014.432, + 75215.626, 73384.587, 71652.482, 69895.93, 68209.301, 66553.669, 64921.981, 63310.323, + 61742.115, 60205.018, 58698.658, 57190.657, 55760.865, 54331.169, 52908.167, 51550.273, + 50225.254, 48922.421, 47614.533, 46362.049, 45098.569, 43926.083, 42736.03, 41593.473, + 40425.26, 39316.237, 38243.651, 37170.617, 36114.609, 35084.19, 34117.233, 33206.509, + 32231.505, 31318.728, 30403.404, 29540.0550000001, 28679.236, 27825.862, 26965.216, + 26179.148, 25462.08, 24645.952, 23922.523, 23198.144, 22529.128, 21762.4179999999, + 21134.779, 20459.117, 19840.818, 19187.04, 18636.3689999999, 17982.831, 17439.7389999999, + 16874.547, 16358.2169999999, 15835.684, 15352.914, 14823.681, 14329.313, 13816.897, + 13342.874, 12880.882, 12491.648, 12021.254, 11625.392, 11293.7610000001, 10813.697, + 10456.209, 10099.074, 9755.39000000001, 9393.18500000006, 9047.57900000003, + 8657.98499999999, 8395.85900000005, 8033, 7736.95900000003, 7430.59699999995, + 7258.47699999996, 6924.58200000005, 6691.29399999999, 6357.92500000005, 6202.05700000003, + 5921.19700000004, 5628.28399999999, 5404.96799999999, 5226.71100000001, 4990.75600000005, + 4799.77399999998, 4622.93099999998, 4472.478, 4171.78700000001, 3957.46299999999, + 3868.95200000005, 3691.14300000004, 3474.63100000005, 3341.67200000002, 3109.14000000001, + 3071.97400000005, 2796.40399999998, 2756.17799999996, 2611.46999999997, 2471.93000000005, + 2382.26399999997, 2209.22400000005, 2142.28399999999, 2013.96100000001, 1911.18999999994, + 1818.27099999995, 1668.47900000005, 1519.65800000005, 1469.67599999998, 1367.13800000004, + 1248.52899999998, 1181.23600000003, 1022.71900000004, 1088.20700000005, 959.03600000008, + 876.095999999903, 791.183999999892, 703.337000000058, 731.949999999953, 586.86400000006, + 526.024999999907, 323.004999999888, 320.448000000091, 340.672999999952, 309.638999999966, + 216.601999999955, 102.922999999952, 19.2399999999907, -0.114000000059605, + -32.6240000000689, -89.3179999999702, -153.497999999905, -64.2970000000205, + -143.695999999996, -259.497999999905, -253.017999999924, -213.948000000091, + -397.590000000084, -434.006000000052, -403.475000000093, -297.958000000101, + -404.317000000039, -528.898999999976, -506.621000000043, -513.205000000075, + -479.351000000024, -596.139999999898, -527.016999999993, -664.681000000099, + -680.306000000099, -704.050000000047, -850.486000000034, -757.43200000003, + -713.308999999892, } }; +} diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/HllImpl.java b/src/main/java/com/geedgenetworks/sketch/hlld/HllImpl.java new file mode 100644 index 0000000..5d55fb6 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/HllImpl.java @@ -0,0 +1,225 @@ +package com.geedgenetworks.sketch.hlld; + +import com.geedgenetworks.sketch.util.XxHash64; +import it.unimi.dsi.fastutil.doubles.Double2IntAVLTreeMap; +import it.unimi.dsi.fastutil.doubles.Double2IntSortedMap; + +import java.io.Serializable; +import java.util.Map; + +import static com.geedgenetworks.sketch.hlld.Hll.DEFAULT_HASH_SEED; +import static com.geedgenetworks.sketch.hlld.HllConstants.*; + +abstract class HllImpl implements Serializable { + static final int REG_WIDTH = 6; // Bits per register + static final int REG_PER_WORD = 5; // floor(INT_WIDTH / REG_WIDTH) + public boolean cached = false; + public double cachedCount = 0D; + + public void add(long val) { + final long[] data = { val }; + long h = XxHash64.hashLongs(data, 0, data.length, DEFAULT_HASH_SEED); + addHash(h); + } + + public void add(double val) { + final double[] data = { val }; + long h = XxHash64.hashDoubles(data, 0, data.length, DEFAULT_HASH_SEED); + addHash(h); + } + + public void add(String val) { + if(val == null || val.isEmpty()){ + return; + } + long h = XxHash64.hashString(val, 0, val.length(), DEFAULT_HASH_SEED); + addHash(h); + } + + public void add(byte[] val) { + long h = XxHash64.hashBytes(val, 0, val.length, DEFAULT_HASH_SEED); + addHash(h); + } + + public void addHash(long hashcode){ + int p = getPrecision(); + // Determine the index using the first p bits + final int idx = (int) (hashcode >>> (64 - p)); + // Shift out the index bits + final long w = hashcode << p | 1 << (p - 1); + // Determine the count of leading zeros + final int leading = Long.numberOfLeadingZeros(w) + 1; + // Update the register if the new value is larger + if (leading > getRegister(idx)) { + setRegister(idx, leading); + cached = false; + } + } + + void resetCacheZero(){ + cached = true; + cachedCount = 0D; + } + + abstract int getRegister(int idx); + + abstract void setRegister(int idx, int val); + + abstract int getWord(int idx); + + abstract void setWord(int idx, int word); + + static int getRegisterFromWord(int word, int idx){ + word = word >>> (REG_WIDTH * idx); + return word & ((1 << REG_WIDTH) - 1); + } + + static int wordSetRegister(int word, int idx, int val){ + int shift = REG_WIDTH * idx; + val = val << shift; + int val_mask = ((1 << REG_WIDTH) - 1) << shift; + return (word & ~val_mask) | val; + } + + abstract void reset(); + + public double getEstimate() { + return size(); + } + + public double size() { + if(cached){ + return cachedCount; + } + //System.out.println("size"); + + int p = getPrecision(); + int reg = 1 << p; + + RawEstAndNumZeros estAndNumZeros = rawEstimate(p, reg); + double rawEst = estAndNumZeros.rawEst; + int numZeros = estAndNumZeros.numZeros; + + // Check if we need to apply bias correction + if (rawEst <= 5 * reg) { + //rawEst -= biasEstimate(rawEst); + rawEst -= estimateBias(rawEst, p); + } + + // Check if linear counting should be used + double altEst; + if (numZeros != 0) { + altEst = linearCount(reg, numZeros); + } else { + altEst = rawEst; + } + + // Determine which estimate to use + if (altEst <= thresholdData[p-4]) { + cachedCount = altEst; + } else { + cachedCount = rawEst; + } + cached = true; + + return cachedCount; + } + + private double alpha(int p, int reg) { + switch (p) { + case 4: + return 0.673; + case 5: + return 0.697; + case 6: + return 0.709; + default: + return 0.7213 / (1 + 1.079 / reg); + } + } + + private RawEstAndNumZeros rawEstimate(int p, int reg) { + double multi = alpha(p, reg) * reg * reg; + + int numZeros = 0; + double sum = 0; + int regVal; + for (int i = 0; i < reg; i++) { + regVal = getRegister(i); + sum += inversePow2Data[regVal]; + if (regVal == 0) { + numZeros++; + } + } + return new RawEstAndNumZeros(multi / sum, numZeros); + } + + private long estimateBias(double rawEst, int p) { + double[] rawEstForP = rawEstimateData[p - 4]; + + // compute distance and store it in sorted map + Double2IntSortedMap estIndexMap = new Double2IntAVLTreeMap(); + double distance = 0; + for (int i = 0; i < rawEstForP.length; i++) { + distance = Math.pow(rawEst - rawEstForP[i], 2); + estIndexMap.put(distance, i); + } + + // take top-k closest neighbors and compute the bias corrected cardinality + long result = 0; + double[] biasForP = biasData[p - 4]; + double biasSum = 0; + int kNeighbors = K_NEAREST_NEIGHBOR; + for (Map.Entry entry : estIndexMap.entrySet()) { + biasSum += biasForP[entry.getValue()]; + kNeighbors--; + if (kNeighbors <= 0) { + break; + } + } + + // 0.5 added for rounding off + result = (long) ((biasSum / K_NEAREST_NEIGHBOR) + 0.5); + return result; + } + + long linearCount(int reg, long numZeros) { + return Math.round(reg * Math.log(reg / ((double) numZeros))); + } + + abstract boolean isMemory(); + + abstract int getPrecision(); + + abstract void setPrecision(int precision); + + // 复制Hll到堆内存实例HllIntArray + abstract HllImpl copy(); + + int getSerializationBytes(){ + int precision = getPrecision(); + int reg = 1 << precision; + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + // version + p + regs + return 1 + 1 + words * 4; + } + + int getSparseSerializationBytes(int sparseLen){ + int precision = getPrecision(); + int reg = 1 << precision; + // flag + version + p + len + regs + return 1 + 1 + 1 + 2 + sparseLen * 6; + } + + abstract byte[] toBytes(); + + static class RawEstAndNumZeros { + double rawEst; + int numZeros; + + public RawEstAndNumZeros(double rawEst, int numZeros) { + this.rawEst = rawEst; + this.numZeros = numZeros; + } + } +} diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/HllIntArray.java b/src/main/java/com/geedgenetworks/sketch/hlld/HllIntArray.java new file mode 100644 index 0000000..02f51a6 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/HllIntArray.java @@ -0,0 +1,202 @@ +package com.geedgenetworks.sketch.hlld; + +import java.nio.ByteBuffer; + +public class HllIntArray extends HllImpl { + + public int p; // precision, number of register bits + public int reg; // reg = 2^p + public int[] regs; + + HllIntArray(int precision) { + this.p = precision; + // Determine how many registers are needed + this.reg = 1 << p; + // Get the full words required + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + this.regs = new int[words]; + } + + @Override + int getRegister(int idx) { + int word = regs[idx / REG_PER_WORD]; + word = word >>> (REG_WIDTH * (idx % REG_PER_WORD)); + return word & ((1 << REG_WIDTH) - 1); + } + + @Override + void setRegister(int idx, int val) { + int i = idx / REG_PER_WORD; + int word = regs[i]; + // Shift the val into place + int shift = REG_WIDTH * (idx % REG_PER_WORD); + val = val << shift; + int val_mask = ((1 << REG_WIDTH) - 1) << shift; + // Store the word + regs[i] = (word & ~val_mask) | val; + } + + @Override + int getWord(int idx) { + return regs[idx / REG_PER_WORD]; + } + + @Override + void setWord(int idx, int word) { + int i = idx / REG_PER_WORD; + regs[i] = word; + } + + @Override + void reset() { + resetCacheZero(); + for (int i = 0; i < regs.length; i++) { + regs[i] = 0; + } + } + + @Override + boolean isMemory() { + return false; + } + + @Override + int getPrecision() { + return p; + } + + @Override + void setPrecision(int precision) { + this.p = precision; + this.reg = 1 << p; + } + + @Override + HllImpl copy() { + HllIntArray hll = new HllIntArray(p); + System.arraycopy(regs, 0, hll.regs, 0, regs.length); + return hll; + } + + private int sparseWordCount(){ + if(p > 17){ + return -1; + } + + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + int halfWord = words >>> 1; + + int count = 0; + for (int i = 0; i < words; i++) { + int word = regs[i]; + if(word != 0){ + count++; + if(count > halfWord){ + return -1; + } + } + } + + return count; + } + + private byte[] toSparseBytes(int sparseLen) { + int size = getSparseSerializationBytes(sparseLen); + ByteBuffer byteBuffer = ByteBuffer.allocate(size); + byteBuffer.put((byte)0); // flag + byteBuffer.put((byte)1); // version + byteBuffer.put((byte)p); // p + byteBuffer.putShort((short)sparseLen); // len + int words = (reg + REG_PER_WORD - 1) / REG_PER_WORD; + for (int i = 0; i < words; i++) { + int word = regs[i]; + if(word != 0){ + byteBuffer.putShort((short)i); + byteBuffer.putInt(word); + } + } + return byteBuffer.array(); + } + + private byte[] toDenseBytes() { + int size = getSerializationBytes(); + ByteBuffer byteBuffer = ByteBuffer.allocate(size); + byteBuffer.put((byte)1); // version + byteBuffer.put((byte)p); // p + for (int i = 0; i < regs.length; i++) { + byteBuffer.putInt(regs[i]); + } + return byteBuffer.array(); + } + + @Override + byte[] toBytes() { + int sparseLen = sparseWordCount(); + if(sparseLen == -1){ + return toDenseBytes(); + }else{ + return toSparseBytes(sparseLen); + } + } + + public static HllIntArray fromBytes(byte[] bytes) { + ByteBuffer byteBuffer = ByteBuffer.wrap(bytes); + return fromByteBuffer(byteBuffer); + } + + public static HllIntArray fromByteBuffer(ByteBuffer byteBuffer) { + int version = byteBuffer.get(); + if(version == 0){ + return fromByteBufferSparse(byteBuffer); + } + if(version != 1){ + throw new IllegalArgumentException("Unsupported version:" + version); + } + int p = byteBuffer.get(); + HllIntArray hll = new HllIntArray(p); + int len = hll.regs.length; + for (int i = 0; i < len; i++) { + hll.regs[i] = byteBuffer.getInt(); + } + return hll; + } + + private static HllIntArray fromByteBufferSparse(ByteBuffer byteBuffer) { + int version = byteBuffer.get(); + if(version != 1){ + throw new IllegalArgumentException("Unsupported version:" + version); + } + int p = byteBuffer.get(); + HllIntArray hll = new HllIntArray(p); + int len = byteBuffer.getShort(); + for (int j = 0; j < len; j++) { + int i = byteBuffer.getShort(); + hll.regs[i] = byteBuffer.getInt(); + } + return hll; + } + + public int getP() { + return p; + } + + public void setP(int p) { + this.p = p; + } + + public int getReg() { + return reg; + } + + public void setReg(int reg) { + this.reg = reg; + } + + public int[] getRegs() { + return regs; + } + + public void setRegs(int[] regs) { + this.regs = regs; + } +} diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/HllUnion.java b/src/main/java/com/geedgenetworks/sketch/hlld/HllUnion.java new file mode 100644 index 0000000..0985b77 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/HllUnion.java @@ -0,0 +1,221 @@ +package com.geedgenetworks.sketch.hlld; + +import java.io.Serializable; +import java.nio.ByteBuffer; + +import static com.geedgenetworks.sketch.hlld.HllImpl.REG_PER_WORD; + +public class HllUnion implements Serializable { + private int maxP; + private Hll impl; + + public HllUnion() { + this(Hll.DEFAULT_PRECISION); + } + + public HllUnion(int maxP) { + this.maxP = maxP; + impl = new Hll(this.maxP); + } + + public HllUnion(int maxP, ByteBuffer byteBuffer) { + this.maxP = maxP; + impl = new Hll(this.maxP, byteBuffer); + } + + private HllUnion(Hll hll) { + this.maxP = hll.getPrecision(); + impl = hll; + } + + // druid内部使用 + public void resetByteBuffer(ByteBuffer byteBuffer){ + ((DirectHllIntArray)impl.hllImpl).resetByteBuffer(byteBuffer); + } + + public void reset() { + impl.reset(); + } + + public Hll getResult() { + return impl; + } + + public void update(final Hll hll) { + impl.hllImpl = unionImpl(hll, impl); + impl.hllImpl.cached = false; + } + + private static HllImpl unionImpl(Hll source, Hll dest) { + if (source == null) { + return dest.hllImpl; + } + + HllImpl descHllImpl = dest.hllImpl; + HllImpl sourceHllImpl = source.hllImpl; + int destP = descHllImpl.getPrecision(); + int sourceP = sourceHllImpl.getPrecision(); + HllImpl hllImpl = null; + + if (destP < sourceP) { + if(sourceHllImpl instanceof DirectHllIntSparseArray){ + squashSourceAndMerge((DirectHllIntSparseArray)sourceHllImpl, descHllImpl); + }else{ + sourceHllImpl = squash(sourceHllImpl, destP); + merge(sourceHllImpl, descHllImpl); + } + hllImpl = descHllImpl; + } else if (destP > sourceP) { + descHllImpl = squash(descHllImpl, sourceP); + merge(sourceHllImpl, descHllImpl); + if (!dest.hllImpl.isMemory()) { + hllImpl = descHllImpl; + } else { + // 使用ByteBuffer, 可能是堆外内存 + hllImpl = dest.hllImpl; + hllImpl.setPrecision(descHllImpl.getPrecision()); + hllImpl.reset(); + updateRegisters(descHllImpl, hllImpl); + } + } else { + merge(sourceHllImpl, descHllImpl); + hllImpl = descHllImpl; + } + + return hllImpl; + } + + private static void squashSourceAndMerge(DirectHllIntSparseArray sourceHllImpl, HllImpl descHllImpl){ + int p = sourceHllImpl.getPrecision(); + int len = sourceHllImpl.len; + for (int k = 0; k < len; k++) { + int i = sourceHllImpl.getWordIdx(k); + int idx = i * REG_PER_WORD; + int word = sourceHllImpl.getWordValue(k); + for (int j = 0; j < 5; j++) { + int regVal = HllImpl.getRegisterFromWord(word, j); + if (regVal != 0) { + descHllImpl.addHash(((long) (idx + j) << (64 - p)) | (1L << (64 - p - regVal))); + } + } + } + } + + // 比merge2快，普通int数组快1/5，字节数组模式快3倍左右 + private static void merge(HllImpl sourceHllImpl, HllImpl descHllImpl) { + int srcV, tgtV, reg = 1 << sourceHllImpl.getPrecision(); + if(sourceHllImpl instanceof DirectHllIntSparseArray){ + DirectHllIntSparseArray sourceSparseHll = (DirectHllIntSparseArray) sourceHllImpl; + int srcLen = sourceSparseHll.len; + for (int k = 0; k < srcLen; k++) { + int i = sourceSparseHll.getWordIdx(k); + int idx = i * REG_PER_WORD; + int srcWord = sourceSparseHll.getWordValue(k); + int tgtWord = descHllImpl.getWord(idx); + int word = tgtWord; + for (int j = 0; j < 5; j++) { + srcV = HllImpl.getRegisterFromWord(srcWord, j); + tgtV = HllImpl.getRegisterFromWord(word, j); + if (srcV > tgtV) { + word = HllImpl.wordSetRegister(word, j, srcV); + } + } + if (word != tgtWord) { + descHllImpl.setWord(idx, word); + } + } + }else{ + for (int i = 0; i < reg; i += 5) { + int srcWord = sourceHllImpl.getWord(i); + int tgtWord = descHllImpl.getWord(i); + int word = tgtWord; + for (int j = 0; j < 5; j++) { + srcV = HllImpl.getRegisterFromWord(srcWord, j); + tgtV = HllImpl.getRegisterFromWord(word, j); + if (srcV > tgtV) { + word = HllImpl.wordSetRegister(word, j, srcV); + } + } + if (word != tgtWord) { + descHllImpl.setWord(i, word); + } + } + } + } + + private static void merge2(HllImpl sourceHllImpl, HllImpl descHllImpl) { + int srcV, tgtV, reg = 1 << sourceHllImpl.getPrecision(); + for (int i = 0; i < reg; i++) { + srcV = sourceHllImpl.getRegister(i); + tgtV = descHllImpl.getRegister(i); + if (srcV > tgtV) { + descHllImpl.setRegister(i, srcV); + } + } + } + + private static void updateRegisters(HllImpl sourceHllImpl, HllImpl descHllImpl) { + int srcV, tgtV, reg = 1 << sourceHllImpl.getPrecision(); + for (int i = 0; i < reg; i++) { + srcV = sourceHllImpl.getRegister(i); + descHllImpl.setRegister(i, srcV); + } + } + + // p, 64 - p + // +-------------|-------------+ + // |1000000000000|000000001xxxx| (lr=9 + idx=1024) + // +-------------|-------------+ + // \ + // +---------------|-----------+ + // |00000000000|01000000001xxxx| (lr=2 + idx=0) + // +---------------|-----------+ + private static HllImpl squash(HllImpl hll, final int p0) { + int p = hll.getPrecision(); + int reg = 1 << p; + if (p0 > p) { + throw new IllegalArgumentException( + "HyperLogLog cannot be be squashed to be bigger. Current: " + + p + " Provided: " + p0); + } + + if (p0 == p) { + return hll; + } + + final HllImpl dest = new HllIntArray(p0); + + for (int idx = 0; idx < reg; idx++) { + int regVal = hll.getRegister(idx); // this can be a max of 65, never > 127 + if (regVal != 0) { + dest.addHash(((long) idx << (64 - p)) | (1L << (64 - p - regVal))); + } + } + + return dest; + } + + public static final int getUpdatableSerializationBytes(final int precision){ + return Hll.getUpdatableSerializationBytes(precision); + } + + public byte[] toBytes() { + return impl.toBytes(); + } + + public static HllUnion fromBytes(byte[] bytes) { + return new HllUnion(Hll.fromBytes(bytes)); + } + + public static HllUnion fromByteBuffer(ByteBuffer byteBuffer) { + return new HllUnion(Hll.fromByteBuffer(byteBuffer)); + } + + public static HllUnion wrapBytes(byte[] bytes) { + return new HllUnion(Hll.wrapBytes(bytes)); + } + + public static HllUnion wrapByteBuffer(ByteBuffer byteBuffer) { + return new HllUnion(Hll.wrapByteBuffer(byteBuffer)); + } +} diff --git a/src/main/java/com/geedgenetworks/sketch/hlld/HllUtils.java b/src/main/java/com/geedgenetworks/sketch/hlld/HllUtils.java new file mode 100644 index 0000000..e182a77 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/hlld/HllUtils.java @@ -0,0 +1,26 @@ +package com.geedgenetworks.sketch.hlld; + +import com.geedgenetworks.sketch.util.StringUtils; + +import java.nio.ByteBuffer; +import java.nio.charset.StandardCharsets; + +public class HllUtils { + public static Hll deserializeHll(final Object object) { + if (object instanceof String) { + byte[] bytes = StringUtils.decodeBase64(((String) object).getBytes(StandardCharsets.UTF_8)); + return Hll.wrapBytes(bytes); + } else if (object instanceof byte[]) { + return Hll.wrapBytes((byte[]) object); + } else if (object instanceof ByteBuffer) { + return Hll.wrapByteBuffer((ByteBuffer) object); + } else if (object instanceof Hll) { + return (Hll) object; + } + throw new IllegalArgumentException("Object is not of a type that can be deserialized to an Hll:" + object.getClass().getName()); + } + + public static byte[] toBytes(Hll hll) { + return hll.toBytes(); + } +} diff --git a/src/main/java/com/geedgenetworks/sketch/util/StringUtils.java b/src/main/java/com/geedgenetworks/sketch/util/StringUtils.java new file mode 100644 index 0000000..36e27a3 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/util/StringUtils.java @@ -0,0 +1,32 @@ +package com.geedgenetworks.sketch.util; + +import java.util.Base64; + +public class StringUtils { + private static final Base64.Encoder BASE64_ENCODER = Base64.getEncoder(); + private static final Base64.Decoder BASE64_DECODER = Base64.getDecoder(); + + /** + * Convert an input byte array into a string using the {@link Base64} encoding scheme + * + * @param input The byte array to convert to base64 + * + * @return the base64 of the input in string form + */ + public static String encodeBase64String(byte[] input) + { + return BASE64_ENCODER.encodeToString(input); + } + + /** + * Decode an input byte array using the {@link Base64} encoding scheme and return a newly-allocated byte array + * + * @param input The byte array to decode from base64 + * + * @return a newly-allocated byte array + */ + public static byte[] decodeBase64(byte[] input) + { + return BASE64_DECODER.decode(input); + } +} diff --git a/src/main/java/com/geedgenetworks/sketch/util/UnsafeUtil.java b/src/main/java/com/geedgenetworks/sketch/util/UnsafeUtil.java new file mode 100644 index 0000000..125c414 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/util/UnsafeUtil.java @@ -0,0 +1,204 @@ +package com.geedgenetworks.sketch.util; + +import sun.misc.Unsafe; + +import java.lang.reflect.Constructor; +import java.lang.reflect.InvocationTargetException; + +/** + * Provides access to the sun.misc.Unsafe class and its key static fields. + * + * @author Lee Rhodes + */ +@SuppressWarnings({"restriction"}) +public final class UnsafeUtil { + public static final Unsafe unsafe; + public static final String JDK; //must be at least "1.8" + public static final int JDK_MAJOR; //8, 9, 10, 11, 12, etc + + //not an indicator of whether compressed references are used. + public static final int ADDRESS_SIZE; + + //For 64-bit JVMs: these offsets vary depending on coop: 16 for JVM <= 32GB; 24 for JVM > 32GB. + // Making this constant long-typed, rather than int, to exclude possibility of accidental overflow + // in expressions like arrayLength * ARRAY_BYTE_BASE_OFFSET, where arrayLength is int-typed. + // The same consideration for constants below: ARRAY_*_INDEX_SCALE, ARRAY_*_INDEX_SHIFT. + public static final long ARRAY_BOOLEAN_BASE_OFFSET; + public static final long ARRAY_BYTE_BASE_OFFSET; + public static final long ARRAY_SHORT_BASE_OFFSET; + public static final long ARRAY_CHAR_BASE_OFFSET; + public static final long ARRAY_INT_BASE_OFFSET; + public static final long ARRAY_LONG_BASE_OFFSET; + public static final long ARRAY_FLOAT_BASE_OFFSET; + public static final long ARRAY_DOUBLE_BASE_OFFSET; + public static final long ARRAY_OBJECT_BASE_OFFSET; + + //@formatter:off + + // Setting those values directly instead of using unsafe.arrayIndexScale(), because it may be + // beneficial for runtime execution, those values are backed into generated machine code as + // constants. E. g. see https://shipilev.net/jvm-anatomy-park/14-constant-variables/ + public static final int ARRAY_BOOLEAN_INDEX_SCALE = 1; + public static final int ARRAY_BYTE_INDEX_SCALE = 1; + public static final long ARRAY_SHORT_INDEX_SCALE = 2; + public static final long ARRAY_CHAR_INDEX_SCALE = 2; + public static final long ARRAY_INT_INDEX_SCALE = 4; + public static final long ARRAY_LONG_INDEX_SCALE = 8; + public static final long ARRAY_FLOAT_INDEX_SCALE = 4; + public static final long ARRAY_DOUBLE_INDEX_SCALE = 8; + public static final long ARRAY_OBJECT_INDEX_SCALE; // varies, 4 or 8 depending on coop + + //Used to convert "type" to bytes: bytes = longs << LONG_SHIFT + public static final int BOOLEAN_SHIFT = 0; + public static final int BYTE_SHIFT = 0; + public static final long SHORT_SHIFT = 1; + public static final long CHAR_SHIFT = 1; + public static final long INT_SHIFT = 2; + public static final long LONG_SHIFT = 3; + public static final long FLOAT_SHIFT = 2; + public static final long DOUBLE_SHIFT = 3; + public static final long OBJECT_SHIFT; // varies, 2 or 3 depending on coop + + public static final String LS = System.getProperty("line.separator"); + + //@formatter:on + + static { + try { + final Constructor unsafeConstructor = Unsafe.class.getDeclaredConstructor(); + unsafeConstructor.setAccessible(true); + unsafe = unsafeConstructor.newInstance(); + + // Alternative, but may not work across different JVMs. + // Field field = Unsafe.class.getDeclaredField("theUnsafe"); + // field.setAccessible(true); + // unsafe = (Unsafe) field.get(null); + + } catch (final InstantiationException | IllegalAccessException | IllegalArgumentException + | InvocationTargetException | NoSuchMethodException e) { + e.printStackTrace(); + throw new RuntimeException("Unable to acquire Unsafe. " + e); + } + + //4 on 32-bit systems. 4 on 64-bit systems < 32GB, otherwise 8. + //This alone is not an indicator of compressed ref (coop) + ADDRESS_SIZE = unsafe.addressSize(); + + ARRAY_BOOLEAN_BASE_OFFSET = unsafe.arrayBaseOffset(boolean[].class); + ARRAY_BYTE_BASE_OFFSET = unsafe.arrayBaseOffset(byte[].class); + ARRAY_SHORT_BASE_OFFSET = unsafe.arrayBaseOffset(short[].class); + ARRAY_CHAR_BASE_OFFSET = unsafe.arrayBaseOffset(char[].class); + ARRAY_INT_BASE_OFFSET = unsafe.arrayBaseOffset(int[].class); + ARRAY_LONG_BASE_OFFSET = unsafe.arrayBaseOffset(long[].class); + ARRAY_FLOAT_BASE_OFFSET = unsafe.arrayBaseOffset(float[].class); + ARRAY_DOUBLE_BASE_OFFSET = unsafe.arrayBaseOffset(double[].class); + ARRAY_OBJECT_BASE_OFFSET = unsafe.arrayBaseOffset(Object[].class); + + ARRAY_OBJECT_INDEX_SCALE = unsafe.arrayIndexScale(Object[].class); + OBJECT_SHIFT = ARRAY_OBJECT_INDEX_SCALE == 4 ? 2 : 3; + + final String jdkVer = System.getProperty("java.version"); + final int[] p = parseJavaVersion(jdkVer); + JDK = p[0] + "." + p[1]; + JDK_MAJOR = (p[0] == 1) ? p[1] : p[0]; + } + + private UnsafeUtil() {} + + /** + * Returns first two number groups of the java version string. + * @param jdkVer the java version string from System.getProperty("java.version"). + * @return first two number groups of the java version string. + */ + public static int[] parseJavaVersion(final String jdkVer) { + final int p0, p1; + try { + String[] parts = jdkVer.trim().split("[^0-9\\.]");//grab only number groups and "." + parts = parts[0].split("\\."); //split out the number groups + p0 = Integer.parseInt(parts[0]); //the first number group + p1 = (parts.length > 1) ? Integer.parseInt(parts[1]) : 0; //2nd number group, or 0 + } catch (final NumberFormatException | ArrayIndexOutOfBoundsException e) { + throw new IllegalArgumentException("Improper Java -version string: " + jdkVer + "\n" + e); + } + //checkJavaVersion(jdkVer, p0, p1); //TODO Optional to omit this. + return new int[] {p0, p1}; + } + + public static void checkJavaVersion(final String jdkVer, final int p0, final int p1) { + if ( (p0 < 1) || ((p0 == 1) && (p1 < 8)) || (p0 > 13) ) { + throw new IllegalArgumentException( + "Unsupported JDK Major Version, must be one of 1.8, 8, 9, 10, 11, 12, 13: " + jdkVer); + } + } + + public static long getFieldOffset(final Class c, final String fieldName) { + try { + return unsafe.objectFieldOffset(c.getDeclaredField(fieldName)); + } catch (final NoSuchFieldException e) { + throw new IllegalStateException(e); + } + } + + /** + * Like {@link Unsafe#arrayBaseOffset(Class)}, but caches return values for common array types. + * Useful because calling {@link Unsafe#arrayBaseOffset(Class)} directly incurs more overhead. + * @param c The given Class<?>. + * @return the base-offset + */ + public static long getArrayBaseOffset(final Class c) { + // Ordering here is roughly in order of what we expect to be most popular. + if (c == byte[].class) { + return ARRAY_BYTE_BASE_OFFSET; + } else if (c == int[].class) { + return ARRAY_INT_BASE_OFFSET; + } else if (c == long[].class) { + return ARRAY_LONG_BASE_OFFSET; + } else if (c == float[].class) { + return ARRAY_FLOAT_BASE_OFFSET; + } else if (c == double[].class) { + return ARRAY_DOUBLE_BASE_OFFSET; + } else if (c == boolean[].class) { + return ARRAY_BOOLEAN_BASE_OFFSET; + } else if (c == short[].class) { + return ARRAY_SHORT_BASE_OFFSET; + } else if (c == char[].class) { + return ARRAY_CHAR_BASE_OFFSET; + } else if (c == Object[].class) { + return ARRAY_OBJECT_BASE_OFFSET; + } else { + return unsafe.arrayBaseOffset(c); + } + } + + /** + * Assert the requested offset and length against the allocated size. + * The invariants equation is: {@code 0 <= reqOff <= reqLen <= reqOff + reqLen <= allocSize}. + * If this equation is violated and assertions are enabled, an {@link AssertionError} will + * be thrown. + * @param reqOff the requested offset + * @param reqLen the requested length + * @param allocSize the allocated size. + */ + public static void assertBounds(final long reqOff, final long reqLen, final long allocSize) { + assert ((reqOff | reqLen | (reqOff + reqLen) | (allocSize - (reqOff + reqLen))) >= 0) : + "reqOffset: " + reqOff + ", reqLength: " + reqLen + + ", (reqOff + reqLen): " + (reqOff + reqLen) + ", allocSize: " + allocSize; + } + + /** + * Check the requested offset and length against the allocated size. + * The invariants equation is: {@code 0 <= reqOff <= reqLen <= reqOff + reqLen <= allocSize}. + * If this equation is violated an {@link IllegalArgumentException} will be thrown. + * @param reqOff the requested offset + * @param reqLen the requested length + * @param allocSize the allocated size. + */ + public static void checkBounds(final long reqOff, final long reqLen, final long allocSize) { + if ((reqOff | reqLen | (reqOff + reqLen) | (allocSize - (reqOff + reqLen))) < 0) { + throw new IllegalArgumentException( + "reqOffset: " + reqOff + ", reqLength: " + reqLen + + ", (reqOff + reqLen): " + (reqOff + reqLen) + ", allocSize: " + allocSize); + } + } +} + diff --git a/src/main/java/com/geedgenetworks/sketch/util/XxHash64.java b/src/main/java/com/geedgenetworks/sketch/util/XxHash64.java new file mode 100644 index 0000000..f41f859 --- /dev/null +++ b/src/main/java/com/geedgenetworks/sketch/util/XxHash64.java @@ -0,0 +1,303 @@ +package com.geedgenetworks.sketch.util; + +import static com.geedgenetworks.sketch.util.UnsafeUtil.*; + + +/** + * The XxHash is a fast, non-cryptographic, 64-bit hash function that has + * excellent avalanche and 2-way bit independence properties. + * This java version adapted the C++ version and the OpenHFT/Zero-Allocation-Hashing implementation + * referenced below as inspiration. + * + *

The C++ source repository: + * + * https://github.com/Cyan4973/xxHash. It has a BSD 2-Clause License: + * + * http://www.opensource.org/licenses/bsd-license.php. See LICENSE. + * + *

Portions of this code were adapted from + * + * OpenHFT/Zero-Allocation-Hashing, which has an Apache 2 license as does this site. See LICENSE. + * + * @author Lee Rhodes + */ +@SuppressWarnings("restriction") +public class XxHash64 { + // Unsigned, 64-bit primes + private static final long P1 = -7046029288634856825L; + private static final long P2 = -4417276706812531889L; + private static final long P3 = 1609587929392839161L; + private static final long P4 = -8796714831421723037L; + private static final long P5 = 2870177450012600261L; + + /** + * Returns the 64-bit hash of the sequence of bytes in the unsafeObject specified by + * cumOffsetBytes, lengthBytes and a seed. + * + * @param unsafeObj A reference to the object parameter required by unsafe. It may be null. + * @param cumOffsetBytes cumulative offset in bytes of this object from the backing resource + * including any user given offsetBytes. This offset may also include other offset components + * such as the native off-heap memory address, DirectByteBuffer split offsets, region offsets, + * and unsafe arrayBaseOffsets. + * @param lengthBytes the length in bytes of the sequence to be hashed + * @param seed a given seed + * @return the 64-bit hash of the sequence of bytes in the unsafeObject specified by + * cumOffsetBytes, lengthBytes and a seed. + */ + static long hash(final Object unsafeObj, long cumOffsetBytes, final long lengthBytes, + final long seed) { + long hash; + long remaining = lengthBytes; + + if (remaining >= 32) { + long v1 = seed + P1 + P2; + long v2 = seed + P2; + long v3 = seed; + long v4 = seed - P1; + + do { + v1 += unsafe.getLong(unsafeObj, cumOffsetBytes) * P2; + v1 = Long.rotateLeft(v1, 31); + v1 *= P1; + + v2 += unsafe.getLong(unsafeObj, cumOffsetBytes + 8L) * P2; + v2 = Long.rotateLeft(v2, 31); + v2 *= P1; + + v3 += unsafe.getLong(unsafeObj, cumOffsetBytes + 16L) * P2; + v3 = Long.rotateLeft(v3, 31); + v3 *= P1; + + v4 += unsafe.getLong(unsafeObj, cumOffsetBytes + 24L) * P2; + v4 = Long.rotateLeft(v4, 31); + v4 *= P1; + + cumOffsetBytes += 32; + remaining -= 32; + } while (remaining >= 32); + + hash = Long.rotateLeft(v1, 1) + + Long.rotateLeft(v2, 7) + + Long.rotateLeft(v3, 12) + + Long.rotateLeft(v4, 18); + + v1 *= P2; + v1 = Long.rotateLeft(v1, 31); + v1 *= P1; + hash ^= v1; + hash = (hash * P1) + P4; + + v2 *= P2; + v2 = Long.rotateLeft(v2, 31); + v2 *= P1; + hash ^= v2; + hash = (hash * P1) + P4; + + v3 *= P2; + v3 = Long.rotateLeft(v3, 31); + v3 *= P1; + hash ^= v3; + hash = (hash * P1) + P4; + + v4 *= P2; + v4 = Long.rotateLeft(v4, 31); + v4 *= P1; + hash ^= v4; + hash = (hash * P1) + P4; + } //end remaining >= 32 + else { + hash = seed + P5; + } + + hash += lengthBytes; + + while (remaining >= 8) { + long k1 = unsafe.getLong(unsafeObj, cumOffsetBytes); + k1 *= P2; + k1 = Long.rotateLeft(k1, 31); + k1 *= P1; + hash ^= k1; + hash = (Long.rotateLeft(hash, 27) * P1) + P4; + cumOffsetBytes += 8; + remaining -= 8; + } + + if (remaining >= 4) { //treat as unsigned ints + hash ^= (unsafe.getInt(unsafeObj, cumOffsetBytes) & 0XFFFF_FFFFL) * P1; + hash = (Long.rotateLeft(hash, 23) * P2) + P3; + cumOffsetBytes += 4; + remaining -= 4; + } + + while (remaining != 0) { //treat as unsigned bytes + hash ^= (unsafe.getByte(unsafeObj, cumOffsetBytes) & 0XFFL) * P5; + hash = Long.rotateLeft(hash, 11) * P1; + --remaining; + ++cumOffsetBytes; + } + + return finalize(hash); + } + + /** + * Returns a 64-bit hash from a single long. This method has been optimized for speed when only + * a single hash of a long is required. + * @param in A long. + * @param seed A long valued seed. + * @return the hash. + */ + public static long hash(final long in, final long seed) { + long hash = seed + P5; + hash += 8; + long k1 = in; + k1 *= P2; + k1 = Long.rotateLeft(k1, 31); + k1 *= P1; + hash ^= k1; + hash = (Long.rotateLeft(hash, 27) * P1) + P4; + return finalize(hash); + } + + private static long finalize(long hash) { + hash ^= hash >>> 33; + hash *= P2; + hash ^= hash >>> 29; + hash *= P3; + hash ^= hash >>> 32; + return hash; + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetBooleans starting at this offset + * @param lengthBooleans continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashBooleans(final boolean[] arr, final long offsetBooleans, + final long lengthBooleans, final long seed) { + return hash(arr, ARRAY_BOOLEAN_BASE_OFFSET + offsetBooleans, lengthBooleans, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetBytes starting at this offset + * @param lengthBytes continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashBytes(final byte[] arr, final long offsetBytes, + final long lengthBytes, final long seed) { + return hash(arr, ARRAY_BYTE_BASE_OFFSET + offsetBytes, lengthBytes, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetShorts starting at this offset + * @param lengthShorts continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashShorts(final short[] arr, final long offsetShorts, + final long lengthShorts, final long seed) { + return hash(arr, ARRAY_SHORT_BASE_OFFSET + (offsetShorts << SHORT_SHIFT), + lengthShorts << SHORT_SHIFT, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetChars starting at this offset + * @param lengthChars continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashChars(final char[] arr, final long offsetChars, + final long lengthChars, final long seed) { + return hash(arr, ARRAY_CHAR_BASE_OFFSET + (offsetChars << CHAR_SHIFT), + lengthChars << CHAR_SHIFT, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetInts starting at this offset + * @param lengthInts continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashInts(final int[] arr, final long offsetInts, + final long lengthInts, final long seed) { + return hash(arr, ARRAY_INT_BASE_OFFSET + (offsetInts << INT_SHIFT), + lengthInts << INT_SHIFT, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetLongs starting at this offset + * @param lengthLongs continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashLongs(final long[] arr, final long offsetLongs, + final long lengthLongs, final long seed) { + return hash(arr, ARRAY_LONG_BASE_OFFSET + (offsetLongs << LONG_SHIFT), + lengthLongs << LONG_SHIFT, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetFloats starting at this offset + * @param lengthFloats continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashFloats(final float[] arr, final long offsetFloats, + final long lengthFloats, final long seed) { + return hash(arr, ARRAY_FLOAT_BASE_OFFSET + (offsetFloats << FLOAT_SHIFT), + lengthFloats << FLOAT_SHIFT, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param arr the given array + * @param offsetDoubles starting at this offset + * @param lengthDoubles continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashDoubles(final double[] arr, final long offsetDoubles, + final long lengthDoubles, final long seed) { + return hash(arr, ARRAY_DOUBLE_BASE_OFFSET + (offsetDoubles << DOUBLE_SHIFT), + lengthDoubles << DOUBLE_SHIFT, seed); + } + + /** + * Hash the given arr starting at the given offset and continuing for the given length using the + * given seed. + * @param str the given string + * @param offsetChars starting at this offset + * @param lengthChars continuing for this length + * @param seed the given seed + * @return the hash + */ + public static long hashString(final String str, final long offsetChars, + final long lengthChars, final long seed) { + return hashChars(str.toCharArray(), offsetChars, lengthChars, seed); + } + +} + diff --git a/src/main/java/org/HdrHistogram/ArrayHistogram.java b/src/main/java/org/HdrHistogram/ArrayHistogram.java new file mode 100644 index 0000000..cea72d9 --- /dev/null +++ b/src/main/java/org/HdrHistogram/ArrayHistogram.java @@ -0,0 +1,388 @@ +package org.HdrHistogram; /** + * Written by Gil Tene of Azul Systems, and released to the public domain, + * as explained at http://creativecommons.org/publicdomain/zero/1.0/ + * + * @author Gil Tene + */ + +import java.io.IOException; +import java.io.ObjectInputStream; +import java.nio.ByteBuffer; +import java.util.*; +import java.util.zip.DataFormatException; + +/** + *

A High Dynamic Range (HDR) Histogram

+ *

+ * {@link ArrayHistogram} supports the recording and analyzing sampled data value counts across a configurable integer value + * range with configurable value precision within the range. Value precision is expressed as the number of significant + * digits in the value recording, and provides control over value quantization behavior across the value range and the + * subsequent value resolution at any given level. + *

+ * For example, a Histogram could be configured to track the counts of observed integer values between 0 and + * 3,600,000,000 while maintaining a value precision of 3 significant digits across that range. Value quantization + * within the range will thus be no larger than 1/1,000th (or 0.1%) of any value. This example Histogram could + * be used to track and analyze the counts of observed response times ranging between 1 microsecond and 1 hour + * in magnitude, while maintaining a value resolution of 1 microsecond up to 1 millisecond, a resolution of + * 1 millisecond (or better) up to one second, and a resolution of 1 second (or better) up to 1,000 seconds. At its + * maximum tracked value (1 hour), it would still maintain a resolution of 3.6 seconds (or better). + *

+ * Histogram tracks value counts in long fields. Smaller field types are available in the + * {@link IntCountsHistogram} and {@link ShortCountsHistogram} implementations of + * {@link AbstractHistogram}. + *

+ * Auto-resizing: When constructed with no specified value range range (or when auto-resize is turned on with {@link + * ArrayHistogram#setAutoResize}) a {@link ArrayHistogram} will auto-resize its dynamic range to include recorded values as + * they are encountered. Note that recording calls that cause auto-resizing may take longer to execute, as resizing + * incurs allocation and copying of internal data structures. + *

+ * See package description for {@link org.HdrHistogram} for details. + */ + +public class ArrayHistogram extends AbstractHistogram implements Histogramer{ + long totalCount; + long[] counts; + int normalizingIndexOffset; + + @Override + long getCountAtIndex(final int index) { + return counts[normalizeIndex(index, normalizingIndexOffset, countsArrayLength)]; + } + + @Override + long getCountAtNormalizedIndex(final int index) { + return counts[index]; + } + + @Override + void incrementCountAtIndex(final int index) { + counts[normalizeIndex(index, normalizingIndexOffset, countsArrayLength)]++; + } + + @Override + void addToCountAtIndex(final int index, final long value) { + // 正常情况下normalizingIndexOffset = 0, index不用偏移 + counts[normalizeIndex(index, normalizingIndexOffset, countsArrayLength)] += value; + } + + @Override + void setCountAtIndex(int index, long value) { + counts[normalizeIndex(index, normalizingIndexOffset, countsArrayLength)] = value; + } + + @Override + void setCountAtNormalizedIndex(int index, long value) { + counts[index] = value; + } + + @Override + int getNormalizingIndexOffset() { + return normalizingIndexOffset; + } + + @Override + void setNormalizingIndexOffset(int normalizingIndexOffset) { + this.normalizingIndexOffset = normalizingIndexOffset; + } + + @Override + void setIntegerToDoubleValueConversionRatio(double integerToDoubleValueConversionRatio) { + nonConcurrentSetIntegerToDoubleValueConversionRatio(integerToDoubleValueConversionRatio); + } + + @Override + void shiftNormalizingIndexByOffset(int offsetToAdd, + boolean lowestHalfBucketPopulated, + double newIntegerToDoubleValueConversionRatio) { + nonConcurrentNormalizingIndexShift(offsetToAdd, lowestHalfBucketPopulated); + } + + @Override + void clearCounts() { + Arrays.fill(counts, 0); + totalCount = 0; + } + + @Override + public Histogramer makeCopy() { + return miniCopy(); + } + + @Override + public ArrayHistogram copy() { + ArrayHistogram copy = new ArrayHistogram(this); + copy.add(this); + return copy; + } + + public ArrayHistogram miniCopy() { + ArrayHistogram copy = new ArrayHistogram(lowestDiscernibleValue, maxValue < highestTrackableValue ? Math.max(maxValue, lowestDiscernibleValue * 2) : highestTrackableValue, numberOfSignificantValueDigits); + copy.add(this); + return copy; + } + + @Override + public ArrayHistogram copyCorrectedForCoordinatedOmission(final long expectedIntervalBetweenValueSamples) { + ArrayHistogram copy = new ArrayHistogram(this); + copy.addWhileCorrectingForCoordinatedOmission(this, expectedIntervalBetweenValueSamples); + return copy; + } + + @Override + public long getTotalCount() { + return totalCount; + } + + @Override + void setTotalCount(final long totalCount) { + this.totalCount = totalCount; + } + + @Override + void incrementTotalCount() { + totalCount++; + } + + @Override + void addToTotalCount(final long value) { + totalCount += value; + } + + @Override + int _getEstimatedFootprintInBytes() { + return (512 + (8 * counts.length)); + } + + @Override + void resize(long newHighestTrackableValue) { + int oldNormalizedZeroIndex = normalizeIndex(0, normalizingIndexOffset, countsArrayLength); + + establishSize(newHighestTrackableValue); + + int countsDelta = countsArrayLength - counts.length; + + counts = Arrays.copyOf(counts, countsArrayLength); + + if (oldNormalizedZeroIndex != 0) { + // We need to shift the stuff from the zero index and up to the end of the array: + int newNormalizedZeroIndex = oldNormalizedZeroIndex + countsDelta; + int lengthToCopy = (countsArrayLength - countsDelta) - oldNormalizedZeroIndex; + System.arraycopy(counts, oldNormalizedZeroIndex, counts, newNormalizedZeroIndex, lengthToCopy); + Arrays.fill(counts, oldNormalizedZeroIndex, newNormalizedZeroIndex, 0); + } + } + + /** + * Construct an auto-resizing histogram with a lowest discernible value of 1 and an auto-adjusting + * highestTrackableValue. Can auto-resize up to track values up to (Long.MAX_VALUE / 2). + * + * @param numberOfSignificantValueDigits Specifies the precision to use. This is the number of significant + * decimal digits to which the histogram will maintain value resolution + * and separation. Must be a non-negative integer between 0 and 5. + */ + public ArrayHistogram(final int numberOfSignificantValueDigits) { + this(1, 2, numberOfSignificantValueDigits); + setAutoResize(true); + } + + /** + * Construct a Histogram given the Highest value to be tracked and a number of significant decimal digits. The + * histogram will be constructed to implicitly track (distinguish from 0) values as low as 1. + * + * @param highestTrackableValue The highest value to be tracked by the histogram. Must be a positive + * integer that is {@literal >=} 2. + * @param numberOfSignificantValueDigits Specifies the precision to use. This is the number of significant + * decimal digits to which the histogram will maintain value resolution + * and separation. Must be a non-negative integer between 0 and 5. + */ + public ArrayHistogram(final long highestTrackableValue, final int numberOfSignificantValueDigits) { + this(1, highestTrackableValue, numberOfSignificantValueDigits); + } + + /** + * Construct a Histogram given the Lowest and Highest values to be tracked and a number of significant + * decimal digits. Providing a lowestDiscernibleValue is useful is situations where the units used + * for the histogram's values are much smaller that the minimal accuracy required. E.g. when tracking + * time values stated in nanosecond units, where the minimal accuracy required is a microsecond, the + * proper value for lowestDiscernibleValue would be 1000. + * + * @param lowestDiscernibleValue The lowest value that can be discerned (distinguished from 0) by the + * histogram. Must be a positive integer that is {@literal >=} 1. May be + * internally rounded down to nearest power of 2. + * @param highestTrackableValue The highest value to be tracked by the histogram. Must be a positive + * integer that is {@literal >=} (2 * lowestDiscernibleValue). + * @param numberOfSignificantValueDigits Specifies the precision to use. This is the number of significant + * decimal digits to which the histogram will maintain value resolution + * and separation. Must be a non-negative integer between 0 and 5. + */ + public ArrayHistogram(final long lowestDiscernibleValue, final long highestTrackableValue, + final int numberOfSignificantValueDigits) { + this(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits, true); + } + + /** + * Construct a histogram with the same range settings as a given source histogram, + * duplicating the source's start/end timestamps (but NOT its contents) + * @param source The source histogram to duplicate + */ + public ArrayHistogram(final AbstractHistogram source) { + this(source, true); + } + + ArrayHistogram(final AbstractHistogram source, boolean allocateCountsArray) { + super(source); + if (allocateCountsArray) { + counts = new long[countsArrayLength]; + } + wordSizeInBytes = 8; + } + + ArrayHistogram(final long lowestDiscernibleValue, final long highestTrackableValue, + final int numberOfSignificantValueDigits, boolean allocateCountsArray) { + super(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits); + if (allocateCountsArray) { + counts = new long[countsArrayLength]; + } + // 写死 = 8 + wordSizeInBytes = 8; + } + + /** + * Construct a new histogram by decoding it from a ByteBuffer. + * @param buffer The buffer to decode from + * @param minBarForHighestTrackableValue Force highestTrackableValue to be set at least this high + * @return The newly constructed histogram + */ + public static ArrayHistogram decodeFromByteBuffer(final ByteBuffer buffer, + final long minBarForHighestTrackableValue) { + return decodeFromByteBuffer(buffer, ArrayHistogram.class, minBarForHighestTrackableValue); + } + + /** + * Construct a new histogram by decoding it from a compressed form in a ByteBuffer. + * @param buffer The buffer to decode from + * @param minBarForHighestTrackableValue Force highestTrackableValue to be set at least this high + * @return The newly constructed histogram + * @throws DataFormatException on error parsing/decompressing the buffer + */ + public static ArrayHistogram decodeFromCompressedByteBuffer(final ByteBuffer buffer, + final long minBarForHighestTrackableValue) + throws DataFormatException { + return decodeFromCompressedByteBuffer(buffer, ArrayHistogram.class, minBarForHighestTrackableValue); + } + + private void readObject(final ObjectInputStream o) + throws IOException, ClassNotFoundException { + o.defaultReadObject(); + } + + /** + * Construct a new Histogram by decoding it from a String containing a base64 encoded + * compressed histogram representation. + * + * @param base64CompressedHistogramString A string containing a base64 encoding of a compressed histogram + * @return A Histogream decoded from the string + * @throws DataFormatException on error parsing/decompressing the input + */ + public static ArrayHistogram fromString(final String base64CompressedHistogramString) + throws DataFormatException { + // 这还有个base64字符串的解析 + return decodeFromCompressedByteBuffer( + ByteBuffer.wrap(Base64Helper.parseBase64Binary(base64CompressedHistogramString)), + 0); + } + + @Override + public List percentileList(int percentileTicksPerHalfDistance) { + List percentiles = new ArrayList<>(); + for (HistogramIterationValue percentile : this.percentiles(percentileTicksPerHalfDistance)) { + if(percentile.getCountAddedInThisIterationStep() > 0){ + percentiles.add(new Percentile(percentile.getValueIteratedTo(), percentile.getCountAddedInThisIterationStep(), percentile.getPercentile())); + } + } + return percentiles; + } + + @Override + public Map describe() { + long min = getMinValue(); + long max = getMaxValue(); // max = this.maxValue; + long count = getTotalCount(); + double mean = getMean(); + long sum = (long) (mean * count); + mean = Math.round(mean * 100.0) / 100.0; + long p25 = getValueAtPercentile(25); + long p50 = getValueAtPercentile(50); + long p75 = getValueAtPercentile(75); + long p90 = getValueAtPercentile(90); + long p95 = getValueAtPercentile(95); + long p99 = getValueAtPercentile(99); + Map rst = new LinkedHashMap<>(); + rst.put("count", count); + rst.put("mean", mean); + rst.put("sum", sum); + rst.put("min", min); + rst.put("p25", p25); + rst.put("p50", p50); + rst.put("p75", p75); + rst.put("p90", p90); + rst.put("p95", p95); + rst.put("p99", p99); + rst.put("max", max); + return rst; + } + + @Override + public Histogramer resetHistogram() { + if(isAutoResize()){ + return new ArrayHistogram(this.numberOfSignificantValueDigits); + }else{ + this.reset(); + return this; + } + } + + @Override + public Histogramer merge(Histogramer histogram) { + if(histogram instanceof AbstractHistogram){ + this.add((AbstractHistogram)histogram); + return this; + }else if(histogram instanceof DirectMapHistogram){ + try { + ((DirectMapHistogram)histogram).mergeInto(this); + return this; + } catch (Exception e) { + throw new RuntimeException(e); + } + }else{ + throw new UnsupportedOperationException("unsupported method"); + } + } + + @Override + public byte[] toBytes() { + ByteBuffer byteBuffer = ByteBuffer.allocate(this.getNeededByteBufferCapacity()); + this.encodeIntoByteBuffer(byteBuffer); + return byteBuffer2Bytes(byteBuffer); + } + + public static ArrayHistogram fromBytes(byte[] bytes) { + ByteBuffer byteBuffer = ByteBuffer.wrap(bytes); + return fromByteBuffer(byteBuffer); + } + + public static ArrayHistogram fromByteBuffer(ByteBuffer byteBuffer) { + int initPosition = byteBuffer.position(); + int cookie = byteBuffer.getInt(initPosition); + if(DirectMapHistogram.getCookieBase(cookie) == DirectMapHistogram.V2CompressedEncodingCookieBase){ + try { + return ArrayHistogram.decodeFromCompressedByteBuffer(byteBuffer, 2); + } catch (DataFormatException e) { + throw new RuntimeException(e); + } + }else if(DirectMapHistogram.getCookieBase(cookie) == DirectMapHistogram.V2EncodingCookieBase){ + return ArrayHistogram.decodeFromByteBuffer(byteBuffer, 2); + } + throw new UnsupportedOperationException("unsupported method"); + } +} diff --git a/src/main/java/org/HdrHistogram/DirectArrayHistogram.java b/src/main/java/org/HdrHistogram/DirectArrayHistogram.java new file mode 100644 index 0000000..0b2636f --- /dev/null +++ b/src/main/java/org/HdrHistogram/DirectArrayHistogram.java @@ -0,0 +1,234 @@ +package org.HdrHistogram; + +import java.nio.ByteBuffer; +import java.util.ArrayList; +import java.util.LinkedHashMap; +import java.util.List; +import java.util.Map; + +public class DirectArrayHistogram extends AbstractHistogram implements Histogramer{ + long totalCount; + int normalizingIndexOffset; + private ByteBuffer byteBuffer; + private int initPosition; + + public DirectArrayHistogram(final long lowestDiscernibleValue, final long highestTrackableValue, + final int numberOfSignificantValueDigits, ByteBuffer byteBuffer) { + super(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits); + this.byteBuffer = byteBuffer; + this.initPosition = byteBuffer.position(); + wordSizeInBytes = 8; + } + + // druid内部使用 + public void resetByteBuffer(ByteBuffer byteBuffer){ + this.byteBuffer = byteBuffer; + this.initPosition = byteBuffer.position(); + } + + @Override + long getCountAtIndex(int index) { + int i = normalizeIndex(index, normalizingIndexOffset, countsArrayLength); + return byteBuffer.getLong(initPosition + i * 8); + } + + @Override + long getCountAtNormalizedIndex(int index) { + return byteBuffer.getLong(initPosition + index * 8); + } + + @Override + void incrementCountAtIndex(int index) { + int i = normalizeIndex(index, normalizingIndexOffset, countsArrayLength); + int pos = initPosition + i * 8; + long val = byteBuffer.getLong(pos); + byteBuffer.putLong(pos, val + 1); + } + + @Override + void addToCountAtIndex(int index, long value) { + int i = normalizeIndex(index, normalizingIndexOffset, countsArrayLength); + int pos = initPosition + i * 8; + long val = byteBuffer.getLong(pos); + byteBuffer.putLong(pos, val + value); + } + + @Override + void setCountAtIndex(int index, long value) { + int i = normalizeIndex(index, normalizingIndexOffset, countsArrayLength); + int pos = initPosition + i * 8; + byteBuffer.putLong(pos, value); + } + + @Override + void setCountAtNormalizedIndex(int index, long value) { + int pos = initPosition + index * 8; + byteBuffer.putLong(pos, value); + } + + @Override + int getNormalizingIndexOffset() { + return normalizingIndexOffset; + } + + @Override + void setNormalizingIndexOffset(int normalizingIndexOffset) { + if(normalizingIndexOffset == 0){ + this.normalizingIndexOffset = normalizingIndexOffset; + }else{ + throw new RuntimeException("cant not setNormalizingIndexOffset"); + } + } + + @Override + void setIntegerToDoubleValueConversionRatio(double integerToDoubleValueConversionRatio) { + nonConcurrentSetIntegerToDoubleValueConversionRatio(integerToDoubleValueConversionRatio); + } + + @Override + void shiftNormalizingIndexByOffset(int offsetToAdd, boolean lowestHalfBucketPopulated, double newIntegerToDoubleValueConversionRatio) { + nonConcurrentNormalizingIndexShift(offsetToAdd, lowestHalfBucketPopulated); + } + + @Override + void clearCounts() { + for (int i = 0; i < countsArrayLength; i++) { + byteBuffer.putLong(initPosition + i * 8, 0L); + } + totalCount = 0; + } + + @Override + public Histogramer makeCopy() { + return miniCopy(); + } + + @Override + public ArrayHistogram copy() { + ArrayHistogram copy = new ArrayHistogram(this); + copy.add(this); + return copy; + } + + public ArrayHistogram miniCopy() { + ArrayHistogram copy = new ArrayHistogram(lowestDiscernibleValue, maxValue < highestTrackableValue ? Math.max(maxValue, lowestDiscernibleValue * 2) : highestTrackableValue, numberOfSignificantValueDigits); + copy.add(this); + return copy; + } + + @Override + public AbstractHistogram copyCorrectedForCoordinatedOmission(long expectedIntervalBetweenValueSamples) { + Histogram copy = new Histogram(this); + copy.addWhileCorrectingForCoordinatedOmission(this, expectedIntervalBetweenValueSamples); + return copy; + } + + @Override + public long getTotalCount() { + return totalCount; + } + + @Override + void setTotalCount(final long totalCount) { + this.totalCount = totalCount; + } + + @Override + void incrementTotalCount() { + totalCount++; + } + + @Override + void addToTotalCount(long value) { + totalCount += value; + } + + + @Override + int _getEstimatedFootprintInBytes() { + return (512 + (8 * countsArrayLength)); + } + + @Override + void resize(long newHighestTrackableValue) { + throw new RuntimeException("cant not resize"); + } + + public static int getCountsArrayLength(long lowestDiscernibleValue, long highestTrackableValue, int numberOfSignificantValueDigits){ + Histogram his = new Histogram(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits, false); + return his.countsArrayLength; + } + + public static final int getUpdatableSerializationBytes(long lowestDiscernibleValue, long highestTrackableValue, int numberOfSignificantValueDigits){ + return getCountsArrayLength(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits) * 8; + } + + @Override + public List percentileList(int percentileTicksPerHalfDistance) { + List percentiles = new ArrayList<>(); + for (HistogramIterationValue percentile : this.percentiles(percentileTicksPerHalfDistance)) { + if(percentile.getCountAddedInThisIterationStep() > 0){ + percentiles.add(new Percentile(percentile.getValueIteratedTo(), percentile.getCountAddedInThisIterationStep(), percentile.getPercentile())); + } + } + return percentiles; + } + + @Override + public Map describe() { + long min = getMinValue(); + long max = getMaxValue(); // max = this.maxValue; + long count = getTotalCount(); + double mean = getMean(); + long sum = (long) (mean * count); + mean = Math.round(mean * 100.0) / 100.0; + long p25 = getValueAtPercentile(25); + long p50 = getValueAtPercentile(50); + long p75 = getValueAtPercentile(75); + long p90 = getValueAtPercentile(90); + long p95 = getValueAtPercentile(95); + long p99 = getValueAtPercentile(99); + Map rst = new LinkedHashMap<>(); + rst.put("count", count); + rst.put("mean", mean); + rst.put("sum", sum); + rst.put("min", min); + rst.put("p25", p25); + rst.put("p50", p50); + rst.put("p75", p75); + rst.put("p90", p90); + rst.put("p95", p95); + rst.put("p99", p99); + rst.put("max", max); + return rst; + } + + @Override + public Histogramer resetHistogram() { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public Histogramer merge(Histogramer histogram) { + if(histogram instanceof AbstractHistogram){ + this.add((AbstractHistogram)histogram); + return this; + }else if(histogram instanceof DirectMapHistogram){ + try { + ((DirectMapHistogram)histogram).mergeInto(this); + return this; + } catch (Exception e) { + throw new RuntimeException(e); + } + }else{ + throw new UnsupportedOperationException("unsupported method"); + } + } + + @Override + public byte[] toBytes() { + ByteBuffer byteBuffer = ByteBuffer.allocate(this.getNeededByteBufferCapacity()); + this.encodeIntoByteBuffer(byteBuffer); + return byteBuffer2Bytes(byteBuffer); + } +} diff --git a/src/main/java/org/HdrHistogram/DirectMapHistogram.java b/src/main/java/org/HdrHistogram/DirectMapHistogram.java new file mode 100644 index 0000000..bc0951d --- /dev/null +++ b/src/main/java/org/HdrHistogram/DirectMapHistogram.java @@ -0,0 +1,492 @@ +package org.HdrHistogram; + +import java.nio.ByteBuffer; +import java.nio.ByteOrder; +import java.util.List; +import java.util.Map; +import java.util.zip.DataFormatException; +import java.util.zip.Inflater; + +import static java.nio.ByteOrder.BIG_ENDIAN; + +/** + * 直接映射字节数组到Histogram，只读的Histogram，用于druid查询，减少gc减少计算，序列化后的是稀疏数组的形式 + */ +public class DirectMapHistogram implements Histogramer{ + static final int V2maxWordSizeInBytes = 9; // LEB128-64b9B + ZigZag require up to 9 bytes per word + static final int V2EncodingCookieBase = 0x1c849303; + static final int V2CompressedEncodingCookieBase = 0x1c849304; + + final ByteBuffer byteBuffer; + final int initPosition; + long totalCount; + + private DirectMapHistogram(ByteBuffer byteBuffer) { + int initPosition = byteBuffer.position(); + this.byteBuffer = byteBuffer; + this.initPosition = initPosition; + this.totalCount = -1; + } + + public static boolean byteBufferCanToDirectMapHistogram(ByteBuffer byteBuffer) { + int initPosition = byteBuffer.position(); + int cookie = byteBuffer.getInt(initPosition); + return getCookieBase(cookie) == V2EncodingCookieBase || getCookieBase(cookie) == V2CompressedEncodingCookieBase; + } + + public static DirectMapHistogram wrapBytes(byte[] bytes) { + ByteBuffer byteBuffer = ByteBuffer.wrap(bytes); + return wrapByteBuffer(byteBuffer); + } + + public static DirectMapHistogram wrapByteBuffer(ByteBuffer byteBuffer) { + if(byteBufferCanToDirectMapHistogram(byteBuffer)){ + DirectMapHistogram hll = new DirectMapHistogram(byteBuffer); + return hll; + } + throw new RuntimeException("can not wrapByteBuffer"); + } + + public void mergeInto(AbstractHistogram histogram) throws Exception{ + int cookie = byteBuffer.getInt(initPosition); + if(getCookieBase(cookie) == V2CompressedEncodingCookieBase){ + final int lengthOfCompressedContents = byteBuffer.getInt(initPosition + 4); + final Inflater decompressor = new Inflater(); + + if (byteBuffer.hasArray()) { + decompressor.setInput(byteBuffer.array(), initPosition + 8, lengthOfCompressedContents); + } else { + byte[] compressedContents = new byte[lengthOfCompressedContents]; + byteBuffer.position(initPosition + 8); + try { + byteBuffer.get(compressedContents); + decompressor.setInput(compressedContents); + }finally { + byteBuffer.position(initPosition); + } + } + final int headerSize = 40; + final ByteBuffer headerBuffer = ByteBuffer.allocate(headerSize).order(BIG_ENDIAN); + decompressor.inflate(headerBuffer.array()); + + cookie = headerBuffer.getInt(); + final int payloadLengthInBytes; + final int normalizingIndexOffset; + final int numberOfSignificantValueDigits; + final long lowestTrackableUnitValue; + long highestTrackableValue; + final double integerToDoubleValueConversionRatio; + + assert getCookieBase(cookie) == V2EncodingCookieBase; + + payloadLengthInBytes = headerBuffer.getInt(4); + normalizingIndexOffset = headerBuffer.getInt(8); + numberOfSignificantValueDigits = headerBuffer.getInt( 12); + lowestTrackableUnitValue = headerBuffer.getLong(16); + highestTrackableValue = headerBuffer.getLong(24); + integerToDoubleValueConversionRatio = headerBuffer.getDouble(32); + + highestTrackableValue = Math.max(highestTrackableValue, 2); + + final long largestValueWithSingleUnitResolution = 2 * (long) Math.pow(10, numberOfSignificantValueDigits); + final int unitMagnitude = (int) (Math.log(lowestTrackableUnitValue)/Math.log(2)); + final long unitMagnitudeMask = (1 << unitMagnitude) - 1; + int subBucketCountMagnitude = (int) Math.ceil(Math.log(largestValueWithSingleUnitResolution)/Math.log(2)); + final int subBucketHalfCountMagnitude = subBucketCountMagnitude - 1; + final int subBucketCount = 1 << subBucketCountMagnitude; + final int subBucketHalfCount = subBucketCount / 2; + final long subBucketMask = ((long)subBucketCount - 1) << unitMagnitude; + if (subBucketCountMagnitude + unitMagnitude > 62) { + // subBucketCount entries can't be represented, with unitMagnitude applied, in a positive long. + // Technically it still sort of works if their sum is 63: you can represent all but the last number + // in the shifted subBucketCount. However, the utility of such a histogram vs ones whose magnitude here + // fits in 62 bits is debatable, and it makes it harder to work through the logic. + // Sums larger than 64 are totally broken as leadingZeroCountBase would go negative. + throw new IllegalArgumentException("Cannot represent numberOfSignificantValueDigits worth of values " + + "beyond lowestDiscernibleValue"); + } + + final int expectedCapacity = payloadLengthInBytes; + + ByteBuffer sourceBuffer = ByteBuffer.allocate(expectedCapacity).order(BIG_ENDIAN); + int decompressedByteCount = decompressor.inflate(sourceBuffer.array()); + decompressor.end(); // 必须手动调用，否则快速调用可能内存溢出(堆外内存) + if ((payloadLengthInBytes != Integer.MAX_VALUE) && (decompressedByteCount < payloadLengthInBytes)) { + throw new IllegalArgumentException("The buffer does not contain the indicated payload amount"); + } + assert decompressedByteCount == expectedCapacity; + + int dstIndex = 0; + int endPosition = sourceBuffer.position() + expectedCapacity; //期望的结束读取的索引 + while (sourceBuffer.position() < endPosition) { + long count; + int zerosCount = 0; + // V2 encoding format uses a long encoded in a ZigZag LEB128 format (up to V2maxWordSizeInBytes): + count = ZigZagEncoding.getLong(sourceBuffer); + if (count < 0) { + long zc = -count; // 0值的连续个数 + if (zc > Integer.MAX_VALUE) { + throw new IllegalArgumentException( + "An encoded zero count of > Integer.MAX_VALUE was encountered in the source"); + } + zerosCount = (int) zc; + } + if (zerosCount > 0) { + dstIndex += zerosCount; // No need to set zeros in array. Just skip them. + } else { + // 单个非连续的0也会被输出 + if(count > 0){ + long value = valueFromIndex(dstIndex, subBucketHalfCountMagnitude, subBucketHalfCount, unitMagnitude); + histogram.recordValueWithCount(value, count); + } + dstIndex++; + } + } + + }else if(getCookieBase(cookie) == V2EncodingCookieBase){ + final int payloadLengthInBytes; + final int normalizingIndexOffset; + final int numberOfSignificantValueDigits; + final long lowestTrackableUnitValue; + long highestTrackableValue; + final double integerToDoubleValueConversionRatio; + + payloadLengthInBytes = byteBuffer.getInt(initPosition + 4); + normalizingIndexOffset = byteBuffer.getInt(initPosition + 8); + numberOfSignificantValueDigits = byteBuffer.getInt(initPosition + 12); + lowestTrackableUnitValue = byteBuffer.getLong(initPosition + 16); + highestTrackableValue = byteBuffer.getLong(initPosition + 24); + integerToDoubleValueConversionRatio = byteBuffer.getDouble(initPosition + 32); + + highestTrackableValue = Math.max(highestTrackableValue, 2); + + final long largestValueWithSingleUnitResolution = 2 * (long) Math.pow(10, numberOfSignificantValueDigits); + final int unitMagnitude = (int) (Math.log(lowestTrackableUnitValue)/Math.log(2)); + final long unitMagnitudeMask = (1 << unitMagnitude) - 1; + int subBucketCountMagnitude = (int) Math.ceil(Math.log(largestValueWithSingleUnitResolution)/Math.log(2)); + final int subBucketHalfCountMagnitude = subBucketCountMagnitude - 1; + final int subBucketCount = 1 << subBucketCountMagnitude; + final int subBucketHalfCount = subBucketCount / 2; + final long subBucketMask = ((long)subBucketCount - 1) << unitMagnitude; + if (subBucketCountMagnitude + unitMagnitude > 62) { + // subBucketCount entries can't be represented, with unitMagnitude applied, in a positive long. + // Technically it still sort of works if their sum is 63: you can represent all but the last number + // in the shifted subBucketCount. However, the utility of such a histogram vs ones whose magnitude here + // fits in 62 bits is debatable, and it makes it harder to work through the logic. + // Sums larger than 64 are totally broken as leadingZeroCountBase would go negative. + throw new IllegalArgumentException("Cannot represent numberOfSignificantValueDigits worth of values " + + "beyond lowestDiscernibleValue"); + } + + final int expectedCapacity =payloadLengthInBytes; + assert expectedCapacity == payloadLengthInBytes; + if(expectedCapacity > byteBuffer.limit() - 40){ + throw new IllegalArgumentException("The buffer does not contain the full Histogram payload"); + } + final int position = initPosition + 40; + final int lengthInBytes = expectedCapacity; + final int wordSizeInBytes = V2maxWordSizeInBytes; + // fillCountsArrayFromSourceBuffer + + ByteBuffer sourceBuffer = byteBuffer.duplicate(); + sourceBuffer.position(position); + final long maxAllowableCountInHistigram = Long.MAX_VALUE; + int dstIndex = 0; + int endPosition = sourceBuffer.position() + lengthInBytes; //期望的结束读取的索引 + while (sourceBuffer.position() < endPosition) { + long count; + int zerosCount = 0; + // V2 encoding format uses a long encoded in a ZigZag LEB128 format (up to V2maxWordSizeInBytes): + count = ZigZagEncoding.getLong(sourceBuffer); + if (count < 0) { + long zc = -count; // 0值的连续个数 + if (zc > Integer.MAX_VALUE) { + throw new IllegalArgumentException( + "An encoded zero count of > Integer.MAX_VALUE was encountered in the source"); + } + zerosCount = (int) zc; + } + if (zerosCount > 0) { + dstIndex += zerosCount; // No need to set zeros in array. Just skip them. + } else { + // 单个非连续的0也会被输出 + if(count > 0){ + long value = valueFromIndex(dstIndex, subBucketHalfCountMagnitude, subBucketHalfCount, unitMagnitude); + histogram.recordValueWithCount(value, count); + } + dstIndex++; + } + } + }else{ + throw new RuntimeException("can not wrapByteBuffer"); + } + } + + final long valueFromIndex(final int index, int subBucketHalfCountMagnitude, int subBucketHalfCount, int unitMagnitude) { + int bucketIndex = (index >> subBucketHalfCountMagnitude) - 1; + int subBucketIndex = (index & (subBucketHalfCount - 1)) + subBucketHalfCount; + if (bucketIndex < 0) { + subBucketIndex -= subBucketHalfCount; + bucketIndex = 0; + } + return valueFromIndex(bucketIndex, subBucketIndex, unitMagnitude); + } + + private long valueFromIndex(final int bucketIndex, final int subBucketIndex, int unitMagnitude) { + return ((long) subBucketIndex) << (bucketIndex + unitMagnitude); + } + + static int getCookieBase(final int cookie) { + return (cookie & ~0xf0); + } + + @Override + public long getTotalCount() { + if(totalCount >= 0){ + return totalCount; + } + try { + totalCount = 0; + int cookie = byteBuffer.getInt(initPosition); + if(getCookieBase(cookie) == V2CompressedEncodingCookieBase){ + final int lengthOfCompressedContents = byteBuffer.getInt(initPosition + 4); + final Inflater decompressor = new Inflater(); + + if (byteBuffer.hasArray()) { + decompressor.setInput(byteBuffer.array(), initPosition + 8, lengthOfCompressedContents); + } else { + byte[] compressedContents = new byte[lengthOfCompressedContents]; + byteBuffer.position(initPosition + 8); + try { + byteBuffer.get(compressedContents); + decompressor.setInput(compressedContents); + }finally { + byteBuffer.position(initPosition); + } + } + final int headerSize = 40; + final ByteBuffer headerBuffer = ByteBuffer.allocate(headerSize).order(BIG_ENDIAN); + decompressor.inflate(headerBuffer.array()); + + cookie = headerBuffer.getInt(); + final int payloadLengthInBytes; + final int normalizingIndexOffset; + final int numberOfSignificantValueDigits; + final long lowestTrackableUnitValue; + long highestTrackableValue; + final double integerToDoubleValueConversionRatio; + + assert getCookieBase(cookie) == V2EncodingCookieBase; + + payloadLengthInBytes = headerBuffer.getInt(4); + normalizingIndexOffset = headerBuffer.getInt(8); + numberOfSignificantValueDigits = headerBuffer.getInt( 12); + lowestTrackableUnitValue = headerBuffer.getLong(16); + highestTrackableValue = headerBuffer.getLong(24); + integerToDoubleValueConversionRatio = headerBuffer.getDouble(32); + + highestTrackableValue = Math.max(highestTrackableValue, 2); + + final long largestValueWithSingleUnitResolution = 2 * (long) Math.pow(10, numberOfSignificantValueDigits); + final int unitMagnitude = (int) (Math.log(lowestTrackableUnitValue)/Math.log(2)); + final long unitMagnitudeMask = (1 << unitMagnitude) - 1; + int subBucketCountMagnitude = (int) Math.ceil(Math.log(largestValueWithSingleUnitResolution)/Math.log(2)); + final int subBucketHalfCountMagnitude = subBucketCountMagnitude - 1; + final int subBucketCount = 1 << subBucketCountMagnitude; + final int subBucketHalfCount = subBucketCount / 2; + final long subBucketMask = ((long)subBucketCount - 1) << unitMagnitude; + if (subBucketCountMagnitude + unitMagnitude > 62) { + // subBucketCount entries can't be represented, with unitMagnitude applied, in a positive long. + // Technically it still sort of works if their sum is 63: you can represent all but the last number + // in the shifted subBucketCount. However, the utility of such a histogram vs ones whose magnitude here + // fits in 62 bits is debatable, and it makes it harder to work through the logic. + // Sums larger than 64 are totally broken as leadingZeroCountBase would go negative. + throw new IllegalArgumentException("Cannot represent numberOfSignificantValueDigits worth of values " + + "beyond lowestDiscernibleValue"); + } + + final int expectedCapacity = payloadLengthInBytes; + + ByteBuffer sourceBuffer = ByteBuffer.allocate(expectedCapacity).order(BIG_ENDIAN); + int decompressedByteCount = decompressor.inflate(sourceBuffer.array()); + decompressor.end(); // 必须手动调用，否则快速调用可能内存溢出(堆外内存) + if ((payloadLengthInBytes != Integer.MAX_VALUE) && (decompressedByteCount < payloadLengthInBytes)) { + throw new IllegalArgumentException("The buffer does not contain the indicated payload amount"); + } + assert decompressedByteCount == expectedCapacity; + + int dstIndex = 0; + int endPosition = sourceBuffer.position() + expectedCapacity; //期望的结束读取的索引 + while (sourceBuffer.position() < endPosition) { + long count; + int zerosCount = 0; + // V2 encoding format uses a long encoded in a ZigZag LEB128 format (up to V2maxWordSizeInBytes): + count = ZigZagEncoding.getLong(sourceBuffer); + if (count < 0) { + long zc = -count; // 0值的连续个数 + if (zc > Integer.MAX_VALUE) { + throw new IllegalArgumentException( + "An encoded zero count of > Integer.MAX_VALUE was encountered in the source"); + } + zerosCount = (int) zc; + } + if (zerosCount > 0) { + dstIndex += zerosCount; // No need to set zeros in array. Just skip them. + } else { + // 单个非连续的0也会被输出 + if(count > 0){ + //long value = valueFromIndex(dstIndex, subBucketHalfCountMagnitude, subBucketHalfCount, unitMagnitude); + //histogram.recordValueWithCount(value, count); + totalCount += count; + } + dstIndex++; + } + } + return totalCount; + }else if(getCookieBase(cookie) == V2EncodingCookieBase){ + final int payloadLengthInBytes; + final int normalizingIndexOffset; + final int numberOfSignificantValueDigits; + final long lowestTrackableUnitValue; + long highestTrackableValue; + final double integerToDoubleValueConversionRatio; + + payloadLengthInBytes = byteBuffer.getInt(initPosition + 4); + normalizingIndexOffset = byteBuffer.getInt(initPosition + 8); + numberOfSignificantValueDigits = byteBuffer.getInt(initPosition + 12); + lowestTrackableUnitValue = byteBuffer.getLong(initPosition + 16); + highestTrackableValue = byteBuffer.getLong(initPosition + 24); + integerToDoubleValueConversionRatio = byteBuffer.getDouble(initPosition + 32); + + highestTrackableValue = Math.max(highestTrackableValue, 2); + + final long largestValueWithSingleUnitResolution = 2 * (long) Math.pow(10, numberOfSignificantValueDigits); + final int unitMagnitude = (int) (Math.log(lowestTrackableUnitValue)/Math.log(2)); + final long unitMagnitudeMask = (1 << unitMagnitude) - 1; + int subBucketCountMagnitude = (int) Math.ceil(Math.log(largestValueWithSingleUnitResolution)/Math.log(2)); + final int subBucketHalfCountMagnitude = subBucketCountMagnitude - 1; + final int subBucketCount = 1 << subBucketCountMagnitude; + final int subBucketHalfCount = subBucketCount / 2; + final long subBucketMask = ((long)subBucketCount - 1) << unitMagnitude; + if (subBucketCountMagnitude + unitMagnitude > 62) { + // subBucketCount entries can't be represented, with unitMagnitude applied, in a positive long. + // Technically it still sort of works if their sum is 63: you can represent all but the last number + // in the shifted subBucketCount. However, the utility of such a histogram vs ones whose magnitude here + // fits in 62 bits is debatable, and it makes it harder to work through the logic. + // Sums larger than 64 are totally broken as leadingZeroCountBase would go negative. + throw new IllegalArgumentException("Cannot represent numberOfSignificantValueDigits worth of values " + + "beyond lowestDiscernibleValue"); + } + + final int expectedCapacity =payloadLengthInBytes; + assert expectedCapacity == payloadLengthInBytes; + if(expectedCapacity > byteBuffer.limit() - 40){ + throw new IllegalArgumentException("The buffer does not contain the full Histogram payload"); + } + final int position = initPosition + 40; + final int lengthInBytes = expectedCapacity; + final int wordSizeInBytes = V2maxWordSizeInBytes; + // fillCountsArrayFromSourceBuffer + + ByteBuffer sourceBuffer = byteBuffer.duplicate(); + sourceBuffer.position(position); + final long maxAllowableCountInHistigram = Long.MAX_VALUE; + int dstIndex = 0; + int endPosition = sourceBuffer.position() + lengthInBytes; //期望的结束读取的索引 + while (sourceBuffer.position() < endPosition) { + long count; + int zerosCount = 0; + // V2 encoding format uses a long encoded in a ZigZag LEB128 format (up to V2maxWordSizeInBytes): + count = ZigZagEncoding.getLong(sourceBuffer); + if (count < 0) { + long zc = -count; // 0值的连续个数 + if (zc > Integer.MAX_VALUE) { + throw new IllegalArgumentException( + "An encoded zero count of > Integer.MAX_VALUE was encountered in the source"); + } + zerosCount = (int) zc; + } + if (zerosCount > 0) { + dstIndex += zerosCount; // No need to set zeros in array. Just skip them. + } else { + // 单个非连续的0也会被输出 + if(count > 0){ + //long value = valueFromIndex(dstIndex, subBucketHalfCountMagnitude, subBucketHalfCount, unitMagnitude); + //histogram.recordValueWithCount(value, count); + totalCount += count; + } + dstIndex++; + } + } + return totalCount; + }else{ + throw new UnsupportedOperationException("unsupported method"); + } + } catch (DataFormatException e) { + throw new RuntimeException(e); + } + } + + @Override + public void recordValue(long value) throws RuntimeException { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public void recordValueWithCount(long value, long count) throws RuntimeException { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public long getValueAtPercentile(double percentile) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public List percentileList(int percentileTicksPerHalfDistance) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public Map describe() { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public Histogramer resetHistogram() { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public Histogramer merge(Histogramer histogram) { + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public Histogramer makeCopy() throws RuntimeException{ + int cookie = byteBuffer.getInt(initPosition); + if(getCookieBase(cookie) == V2CompressedEncodingCookieBase){ + try { + return ArrayHistogram.decodeFromCompressedByteBuffer(byteBuffer, 2); + } catch (DataFormatException e) { + throw new RuntimeException(e); + } + }else if(getCookieBase(cookie) == V2EncodingCookieBase){ + return ArrayHistogram.decodeFromByteBuffer(byteBuffer, 2); + } + throw new UnsupportedOperationException("unsupported method"); + } + + @Override + public byte[] toBytes() { + int size = byteBuffer.limit() - initPosition; + byte[] bytes = new byte[size]; + assert byteBuffer.order() == ByteOrder.BIG_ENDIAN; + int oldPosition = byteBuffer.position(); + byteBuffer.position(initPosition); + byteBuffer.get(bytes, 0, size); + byteBuffer.position(oldPosition); + return bytes; + } +} + diff --git a/src/main/java/org/HdrHistogram/HistogramSketch.java b/src/main/java/org/HdrHistogram/HistogramSketch.java new file mode 100644 index 0000000..b527e75 --- /dev/null +++ b/src/main/java/org/HdrHistogram/HistogramSketch.java @@ -0,0 +1,90 @@ +package org.HdrHistogram; + +import java.nio.ByteBuffer; +import java.util.List; +import java.util.Map; + +public class HistogramSketch { + public Histogramer hisImpl = null; + + public HistogramSketch(final int numberOfSignificantValueDigits){ + hisImpl = new ArrayHistogram(numberOfSignificantValueDigits); + } + + public HistogramSketch(final long lowestDiscernibleValue, final long highestTrackableValue, + final int numberOfSignificantValueDigits, final boolean autoResize){ + ArrayHistogram histogram = new ArrayHistogram(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits); + histogram.setAutoResize(autoResize); + hisImpl = histogram; + } + + public HistogramSketch(final Histogramer that) { + hisImpl = that; + } + + /** + * Copy constructor used by copy(). + */ + HistogramSketch(final HistogramSketch that) { + hisImpl = that.hisImpl.makeCopy(); + } + + /** + * 复制hisImpl到堆内存实例hisImpl + */ + public HistogramSketch copy() { + return new HistogramSketch(this); + } + + public void reset() { + hisImpl = hisImpl.resetHistogram(); + } + + public long getTotalCount(){ + return hisImpl.getTotalCount(); + } + + public void recordValue(long value){ + hisImpl.recordValue(value); + } + + public void recordValueWithCount(long value, long count){ + hisImpl.recordValueWithCount(value, count); + } + + public long getValueAtPercentile(double percentile){ + return hisImpl.getValueAtPercentile(percentile); + } + + public List percentileList(int percentileTicksPerHalfDistance){ + return hisImpl.percentileList(percentileTicksPerHalfDistance); + } + + public Map describe(){ + return hisImpl.describe(); + } + + public static final int getUpdatableSerializationBytes(long lowestDiscernibleValue, long highestTrackableValue, int numberOfSignificantValueDigits){ + return DirectArrayHistogram.getUpdatableSerializationBytes(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits); + } + + public byte[] toBytes() { + return hisImpl.toBytes(); + } + + public static HistogramSketch fromBytes(byte[] bytes) { + return new HistogramSketch(ArrayHistogram.fromBytes(bytes)); + } + + public static HistogramSketch fromByteBuffer(ByteBuffer byteBuffer) { + return new HistogramSketch(ArrayHistogram.fromByteBuffer(byteBuffer)); + } + + public static HistogramSketch wrapBytes(byte[] bytes) { + return new HistogramSketch(DirectMapHistogram.wrapBytes(bytes)); + } + + public static HistogramSketch wrapByteBuffer(ByteBuffer byteBuffer) { + return new HistogramSketch(DirectMapHistogram.wrapByteBuffer(byteBuffer)); + } +} diff --git a/src/main/java/org/HdrHistogram/HistogramUnion.java b/src/main/java/org/HdrHistogram/HistogramUnion.java new file mode 100644 index 0000000..8d5e085 --- /dev/null +++ b/src/main/java/org/HdrHistogram/HistogramUnion.java @@ -0,0 +1,48 @@ +package org.HdrHistogram; + +import java.nio.ByteBuffer; + +public class HistogramUnion { + public HistogramSketch impl; + + public HistogramUnion(final int numberOfSignificantValueDigits){ + impl = new HistogramSketch(numberOfSignificantValueDigits); + } + + public HistogramUnion(final long lowestDiscernibleValue, final long highestTrackableValue, + final int numberOfSignificantValueDigits, final boolean autoResize){ + impl = new HistogramSketch(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits, autoResize); + } + + public HistogramUnion(final long lowestDiscernibleValue, final long highestTrackableValue, + final int numberOfSignificantValueDigits, ByteBuffer byteBuffer) { + impl = new HistogramSketch(new DirectArrayHistogram(lowestDiscernibleValue, highestTrackableValue, numberOfSignificantValueDigits, byteBuffer)); + } + + public HistogramUnion(HistogramSketch his) { + impl = his; + } + + // druid内部使用 + public void resetByteBuffer(ByteBuffer byteBuffer){ + ((DirectArrayHistogram)impl.hisImpl).resetByteBuffer(byteBuffer); + } + + public void reset() { + impl.reset(); + } + + public HistogramSketch getResult() { + return impl; + } + + public void update(final HistogramSketch his) { + if(his != null){ + impl.hisImpl = unionImpl(his, impl); + } + } + + private static Histogramer unionImpl(HistogramSketch source, HistogramSketch dest) { + return dest.hisImpl.merge(source.hisImpl); + } +} diff --git a/src/main/java/org/HdrHistogram/Histogramer.java b/src/main/java/org/HdrHistogram/Histogramer.java new file mode 100644 index 0000000..4901b1d --- /dev/null +++ b/src/main/java/org/HdrHistogram/Histogramer.java @@ -0,0 +1,37 @@ +package org.HdrHistogram; + +import java.nio.ByteBuffer; +import java.util.List; +import java.util.Map; + +public interface Histogramer { + long getTotalCount(); + + void recordValue(long value) throws RuntimeException; + + void recordValueWithCount(long value, long count) throws RuntimeException; + + long getValueAtPercentile(double percentile); + + List percentileList(int percentileTicksPerHalfDistance); + + Map describe(); + + Histogramer resetHistogram(); + + Histogramer merge(Histogramer histogram); + + // 复制到堆内存实例ArrayHistogram + Histogramer makeCopy(); + + byte[] toBytes(); + + default byte[] byteBuffer2Bytes(ByteBuffer byteBuffer){ + //必须调用完后flip()才可以调用此方法 + byteBuffer.flip(); + int len = byteBuffer.limit() - byteBuffer.position(); + byte[] bytes = new byte[len]; + byteBuffer.get(bytes); + return bytes; + } +} diff --git a/src/main/java/org/HdrHistogram/Percentile.java b/src/main/java/org/HdrHistogram/Percentile.java new file mode 100644 index 0000000..ad70ca5 --- /dev/null +++ b/src/main/java/org/HdrHistogram/Percentile.java @@ -0,0 +1,50 @@ +package org.HdrHistogram; + +public class Percentile { + public long value; + public long count; + public double percentile; + + public Percentile() { + + } + + public Percentile(long value, long count, double percentile) { + this.value = value; + this.count = count; + this.percentile = percentile; + } + + public long getValue() { + return value; + } + + public void setValue(long value) { + this.value = value; + } + + public long getCount() { + return count; + } + + public void setCount(long count) { + this.count = count; + } + + public double getPercentile() { + return percentile; + } + + public void setPercentile(double percentile) { + this.percentile = percentile; + } + + @Override + public String toString() { + return "Percentile{" + + "value=" + value + + ", count=" + count + + ", percentile=" + percentile + + '}'; + } +} diff --git a/src/test/java/com/geedgenetworks/sketch/hlld/HllTest.java b/src/test/java/com/geedgenetworks/sketch/hlld/HllTest.java new file mode 100644 index 0000000..2c83fb5 --- /dev/null +++ b/src/test/java/com/geedgenetworks/sketch/hlld/HllTest.java @@ -0,0 +1,266 @@ +package com.geedgenetworks.sketch.hlld; + +import org.junit.Test; + +import java.nio.ByteBuffer; + +public class HllTest { + + @Test + public void testSize() { + long[] ns = new long[]{100, 1000, 10000, 100000, 10000000, 50000000, 100000000}; + for (long n : ns) { + Hll hll = new Hll(14); + for (int i = 0; i < n; i++) { + String key = i + ""; + hll.add(key); + } + long estimate = Math.round(hll.size()) ; + double percentErr = Math.abs(estimate - n) * 100D / n; + System.out.println("n:" + n + ",estimate:" + estimate+ ",percentErr:" + percentErr); + } + } + + @Test + public void testSizeByteBuffer() { + long[] ns = new long[]{100, 1000, 10000, 100000, 10000000, 100000000}; + for (long n : ns) { + int p = 14; + int bytes = DirectHllIntArray.getUpdatableSerializationBytes(p); + Hll hll = new Hll(p, ByteBuffer.allocate(bytes)); + for (int i = 0; i < n; i++) { + String key = i + ""; + hll.add(key); + } + long estimate = Math.round(hll.size()) ; + double percentErr = Math.abs(estimate - n) * 100D / n; + System.out.println("n:" + n + ",estimate:" + estimate+ ",percentErr:" + percentErr); + } + } + + @Test + public void testCopy() { + Hll hll1 = new Hll(14); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + Hll hll2 = new Hll(12, ByteBuffer.allocate(DirectHllIntArray.getUpdatableSerializationBytes(12))); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll2.add(key); + } + + Hll copy1 = hll1.copy(); + Hll copy2 = hll2.copy(); + + System.out.println((long)hll1.size()); + System.out.println((long)hll2.size()); + System.out.println("#####################"); + System.out.println(copy1.hllImpl.getPrecision()); + System.out.println(copy2.hllImpl.getPrecision()); + System.out.println((long)copy1.size()); + System.out.println((long)copy2.size()); + } + + @Test + public void testMerge0() { + // 两个普通Hll, 普通HllUnion + Hll hll1 = new Hll(14); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + Hll hll2 = new Hll(12); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + //String key = i + "a"; + hll2.add(key); + } + + System.out.println((long)hll1.size()); + System.out.println((long)hll2.size()); + + HllUnion union = new HllUnion(14); + union.update(hll1); + union.update(hll2); + + System.out.println((long) union.getResult().size()); + } + + @Test + public void testMerge1() { + // 两个普通Hll, 字节数组HllUnion + Hll hll1 = new Hll(14); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + Hll hll2 = new Hll(12); + for (int i = 0; i < 1000000; i++) { + //String key = i + ""; + String key = i + "a"; + hll2.add(key); + } + + System.out.println((long)hll1.size()); + System.out.println((long)hll2.size()); + + int p = 14; + int bytes = DirectHllIntArray.getUpdatableSerializationBytes(p); + HllUnion union = new HllUnion(p, ByteBuffer.allocate(bytes)); + union.update(hll1); + union.update(hll2); + + System.out.println((long) union.getResult().size()); + System.out.println(union.getResult().hllImpl.isMemory()); + } + + @Test + public void testMerge2() { + // 一个普通Hll一个字节数组Hll, 普通HllUnion + Hll hll1 = new Hll(14); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + Hll hll2 = new Hll(12, ByteBuffer.allocate(DirectHllIntArray.getUpdatableSerializationBytes(12))); + for (int i = 0; i < 1000000; i++) { + //String key = i + ""; + String key = i + "a"; + hll2.add(key); + } + + System.out.println((long)hll1.size()); + System.out.println((long)hll2.size()); + + HllUnion union = new HllUnion(14); + union.update(hll1); + union.update(hll2); + + System.out.println((long) union.getResult().size()); + } + + @Test + public void testMerge3() { + // 一个普通Hll一个字节数组Hll, 字节数组HllUnion + Hll hll1 = new Hll(14); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + Hll hll2 = new Hll(12, ByteBuffer.allocate(DirectHllIntArray.getUpdatableSerializationBytes(12))); + for (int i = 0; i < 1000000; i++) { + //String key = i + ""; + String key = i + "a"; + hll2.add(key); + } + + System.out.println((long)hll1.size()); + System.out.println((long)hll2.size()); + + int p = 14; + int bytes = DirectHllIntArray.getUpdatableSerializationBytes(p); + HllUnion union = new HllUnion(p, ByteBuffer.allocate(bytes)); + union.update(hll1); + union.update(hll2); + + System.out.println((long) union.getResult().size()); + System.out.println(union.getResult().hllImpl.isMemory()); + } + + @Test + public void testMerge4() { + // 两个字节数组Hll, 字节数组HllUnion + Hll hll1 = new Hll(14, ByteBuffer.allocate(DirectHllIntArray.getUpdatableSerializationBytes(14))); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + Hll hll2 = new Hll(12, ByteBuffer.allocate(DirectHllIntArray.getUpdatableSerializationBytes(12))); + for (int i = 0; i < 1000000; i++) { + //String key = i + ""; + String key = i + "a"; + hll2.add(key); + } + + System.out.println((long)hll1.size()); + System.out.println((long)hll2.size()); + + int p = 14; + int bytes = DirectHllIntArray.getUpdatableSerializationBytes(p); + HllUnion union = new HllUnion(p, ByteBuffer.allocate(bytes)); + union.update(hll1); + union.update(hll2); + + System.out.println((long) union.getResult().size()); + System.out.println(union.getResult().hllImpl.isMemory()); + } + + @Test + public void testSer() { + Hll hll1 = new Hll(14); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + int position = 8; + ByteBuffer byteBuffer = ByteBuffer.allocate(position + DirectHllIntArray.getUpdatableSerializationBytes(12)); + byteBuffer.position(position); + Hll hll2 = new Hll(12, byteBuffer); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll2.add(key); + } + + System.out.println(hll1.size()); + System.out.println(hll2.size()); + + byte[] bytes1 = hll1.toBytes(); + byte[] bytes2 = hll2.toBytes(); + Hll hllDer1 = Hll.fromBytes(bytes1); + Hll hllDer2 = Hll.fromBytes(bytes2); + + System.out.println(hllDer1.size()); + System.out.println(hllDer2.size()); + assert !hllDer1.hllImpl.isMemory(); + assert !hllDer2.hllImpl.isMemory(); + } + + @Test + public void testWrapBytes() { + Hll hll1 = new Hll(14); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll1.add(key); + } + + Hll hll2 = new Hll(12, ByteBuffer.allocate(DirectHllIntArray.getUpdatableSerializationBytes(12))); + for (int i = 0; i < 1000000; i++) { + String key = i + ""; + hll2.add(key); + } + + System.out.println(hll1.size()); + System.out.println(hll2.size()); + + byte[] bytes1 = hll1.toBytes(); + byte[] bytes2 = hll2.toBytes(); + + Hll hllDer1 = Hll.wrapBytes(bytes1); + Hll hllDer2 = Hll.wrapBytes(bytes2); + + System.out.println(hllDer1.size()); + System.out.println(hllDer2.size()); + assert hllDer1.hllImpl.isMemory(); + assert hllDer2.hllImpl.isMemory(); + } + +} \ No newline at end of file diff --git a/src/test/java/org/HdrHistogram/HistogramSketchTest.java b/src/test/java/org/HdrHistogram/HistogramSketchTest.java new file mode 100644 index 0000000..52f48bc --- /dev/null +++ b/src/test/java/org/HdrHistogram/HistogramSketchTest.java @@ -0,0 +1,114 @@ +package org.HdrHistogram; + +import org.junit.Test; + +import java.nio.ByteBuffer; +import java.util.concurrent.ThreadLocalRandom; + +public class HistogramSketchTest { + String line = "###################"; + + @Test + public void testArrayHistogram() { + ArrayHistogram histogram = new ArrayHistogram(1); + System.out.println(histogram.describe()); + for (int i = 0; i < 10000; i++) { + histogram.recordValue(i); + } + System.out.println(histogram.describe()); + for (Percentile percentile : histogram.percentileList(5)) { + System.out.println(percentile); + } + System.out.println(line); + histogram = new ArrayHistogram(1); + for (int i = 0; i < 10000; i++) { + histogram.recordValue(ThreadLocalRandom.current().nextLong(100000)); + } + System.out.println(histogram.describe()); + for (Percentile percentile : histogram.percentileList(5)) { + System.out.println(percentile); + } + } + + @Test + public void testDirectArrayHistogram() { + ByteBuffer byteBuffer = ByteBuffer.allocate(DirectArrayHistogram.getUpdatableSerializationBytes(1, 100000, 1)); + DirectArrayHistogram histogram = new DirectArrayHistogram(1, 100000, 1, + byteBuffer); + System.out.println(histogram.describe()); + for (int i = 0; i < 10000; i++) { + histogram.recordValue(i); + } + System.out.println(histogram.describe()); + for (Percentile percentile : histogram.percentileList(5)) { + System.out.println(percentile); + } + System.out.println(line); + histogram.resetByteBuffer(ByteBuffer.allocate(DirectArrayHistogram.getUpdatableSerializationBytes(1, 100000, 1))); + histogram.reset(); + for (int i = 0; i < 10000; i++) { + histogram.recordValue(ThreadLocalRandom.current().nextLong(100000)); + } + System.out.println(histogram.describe()); + for (Percentile percentile : histogram.percentileList(5)) { + System.out.println(percentile); + } + } + + @Test + public void testCopy() { + ArrayHistogram histogram1 = new ArrayHistogram(1); + ByteBuffer byteBuffer = ByteBuffer.allocate(DirectArrayHistogram.getUpdatableSerializationBytes(1, 100000, 1)); + DirectArrayHistogram histogram2 = new DirectArrayHistogram(1, 100000, 1, + byteBuffer); + for (int i = 0; i < 10000; i++) { + histogram1.recordValue(i); + histogram2.recordValue(i); + } + + ArrayHistogram copy1 = histogram1.copy(); + ArrayHistogram copy2 = histogram2.copy(); + + System.out.println(histogram1.describe()); + System.out.println(histogram2.describe()); + System.out.println(line); + + System.out.println(copy1.describe()); + System.out.println(copy2.describe()); + } + + @Test + public void testArrayHistogramMerge() { + ArrayHistogram histogram1 = new ArrayHistogram(1); + for (int i = 0; i < 1000; i++) { + histogram1.recordValue(i); + } + byte[] bytes1 = histogram1.toBytes(); + + DirectMapHistogram directHistogram = DirectMapHistogram.wrapBytes(bytes1); + ArrayHistogram histogram2 = new ArrayHistogram(1); + histogram2.merge(directHistogram); + System.out.println(histogram2.describe()); + } + + @Test + public void testDirectArrayHistogramMerge() { + ArrayHistogram histogram1 = new ArrayHistogram(1); + int updatableSerializationBytes = DirectArrayHistogram.getUpdatableSerializationBytes(1, 100000, 1); + DirectArrayHistogram histogram2 = new DirectArrayHistogram(1, 100000, 1, ByteBuffer.allocate(updatableSerializationBytes)); + for (int i = 0; i < 10000; i++) { + histogram1.recordValue(i); + histogram2.recordValue(i); + } + byte[] bytes1 = histogram1.toBytes(); + byte[] bytes2 = histogram2.toBytes(); + + DirectArrayHistogram histogram = new DirectArrayHistogram(1, 100000, 1, ByteBuffer.allocate(updatableSerializationBytes)); + histogram.merge(DirectMapHistogram.wrapBytes(bytes1)); + histogram.merge(DirectMapHistogram.wrapBytes(bytes2)); + System.out.println(histogram.describe()); + for (Percentile percentile : histogram.percentileList(5)) { + System.out.println(percentile); + } + } +} \ No newline at end of file