Histogram.java
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// to you under the Apache License, Version 2.0 (the
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//
// http://www.apache.org/licenses/LICENSE-2.0
//
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package org.apache.doris.statistics.model;
import org.apache.doris.catalog.Column;
import org.apache.doris.catalog.PrimitiveType;
import org.apache.doris.catalog.Type;
import org.apache.doris.nereids.trees.expressions.literal.Literal;
import org.apache.doris.nereids.types.DataType;
import org.apache.doris.nereids.types.NullType;
import org.apache.doris.statistics.repository.HistData;
import org.apache.doris.statistics.repository.ResultRow;
import org.apache.doris.statistics.util.StatisticsUtil;
import com.google.common.base.Strings;
import com.google.common.collect.Iterables;
import com.google.common.collect.Lists;
import com.google.common.collect.Maps;
import com.google.gson.JsonArray;
import com.google.gson.JsonElement;
import com.google.gson.JsonObject;
import com.google.gson.JsonParser;
import org.apache.logging.log4j.LogManager;
import org.apache.logging.log4j.Logger;
import java.util.Collection;
import java.util.Collections;
import java.util.List;
import java.util.Map;
public class Histogram {
private static final Logger LOG = LogManager.getLogger(Histogram.class);
public final Type dataType;
public final double sampleRate;
public final List<Bucket> buckets;
public final int numBuckets;
// Optional mcv_histogram: top-N hot values + residual buckets (non-overlapping).
public final Map<Literal, Float> mcv;
public final List<Bucket> mcvBuckets;
public Histogram(Type dataType, double sampleRate, int numBuckets, List<Bucket> buckets) {
this(dataType, sampleRate, numBuckets, buckets, null, null);
}
public Histogram(Type dataType, double sampleRate, int numBuckets, List<Bucket> buckets,
Map<Literal, Float> mcv, List<Bucket> mcvBuckets) {
this.dataType = dataType;
this.sampleRate = sampleRate;
this.numBuckets = numBuckets;
this.buckets = buckets;
this.mcv = mcv == null ? Collections.emptyMap() : mcv;
this.mcvBuckets = mcvBuckets == null ? Collections.emptyList() : mcvBuckets;
}
public static Histogram UNKNOWN = new HistogramBuilder().setDataType(Type.NULL)
.setSampleRate(0).setNumBuckets(0).setBuckets(Collections.emptyList())
.build();
// TODO: use thrift
public static Histogram fromResultRow(ResultRow resultRow) {
try {
HistogramBuilder histogramBuilder = new HistogramBuilder();
HistData histData = new HistData(resultRow);
long catalogId = histData.statsId.catalogId;
long idxId = histData.statsId.idxId;
long dbId = histData.statsId.dbId;
long tblId = histData.statsId.tblId;
String colName = histData.statsId.colId;
Column col = StatisticsUtil.findColumn(catalogId, dbId, tblId, idxId, colName);
if (col == null) {
LOG.warn("Failed to deserialize histogram statistics, ctlId: {} dbId: {}"
+ "tblId: {} column: {} not exists", catalogId, dbId, tblId, colName);
return null;
}
Type dataType = col.getType();
histogramBuilder.setDataType(dataType);
double sampleRate = histData.sampleRate;
histogramBuilder.setSampleRate(sampleRate);
String json = histData.buckets;
JsonObject jsonObj = JsonParser.parseString(json).getAsJsonObject();
int bucketNum = jsonObj.get("num_buckets").getAsInt();
histogramBuilder.setNumBuckets(bucketNum);
List<Bucket> buckets = Lists.newArrayList();
JsonArray jsonArray = jsonObj.getAsJsonArray("buckets");
for (JsonElement element : jsonArray) {
String bucketJson = element.toString();
buckets.add(Bucket.deserializeFromJson(dataType, bucketJson));
}
histogramBuilder.setBuckets(buckets);
if (jsonObj.has("mcv_histogram") && jsonObj.get("mcv_histogram").isJsonObject()) {
JsonObject mcvObj = jsonObj.getAsJsonObject("mcv_histogram");
Map<Literal, Float> mcv = StatisticsUtil.getHotValues(mcvObj.get("mcv").getAsString(), dataType);
List<Bucket> mcvBuckets = Lists.newArrayList();
for (JsonElement element : mcvObj.getAsJsonArray("buckets")) {
mcvBuckets.add(Bucket.deserializeFromJson(dataType, element.toString()));
}
if (mcv != null && !mcv.isEmpty()) {
histogramBuilder.setMcv(mcv).setMcvBuckets(mcvBuckets);
}
}
return histogramBuilder.build();
} catch (Exception e) {
LOG.warn("Failed to deserialize histogram statistics.", e);
return null;
}
}
/**
* Histogram info is stored in an internal table in json format,
* and Histogram obj can be obtained by this method.
*/
public static Histogram deserializeFromJson(String json) {
if (Strings.isNullOrEmpty(json)) {
return Histogram.UNKNOWN;
}
try {
HistogramBuilder histogramBuilder = new HistogramBuilder();
JsonObject histogramJson = JsonParser.parseString(json).getAsJsonObject();
String typeStr = histogramJson.get("data_type").getAsString();
Type dataType = Type.fromPrimitiveType(PrimitiveType.valueOf(typeStr));
histogramBuilder.setDataType(dataType);
float sampleRate = histogramJson.get("sample_rate").getAsFloat();
histogramBuilder.setSampleRate(sampleRate);
int bucketSize = histogramJson.get("num_buckets").getAsInt();
histogramBuilder.setNumBuckets(bucketSize);
JsonArray jsonArray = histogramJson.getAsJsonArray("buckets");
List<Bucket> buckets = Lists.newArrayList();
for (JsonElement element : jsonArray) {
String bucketJsonStr = element.toString();
buckets.add(Bucket.deserializeFromJson(dataType, bucketJsonStr));
}
histogramBuilder.setBuckets(buckets);
return histogramBuilder.build();
} catch (Throwable e) {
LOG.error("deserialize from json error.", e);
}
return Histogram.UNKNOWN;
}
/**
* Convert to json format string
*/
public static String serializeToJson(Histogram histogram) {
if (histogram == null) {
return "";
}
JsonObject histogramJson = new JsonObject();
histogramJson.addProperty("data_type", histogram.dataType.toString());
histogramJson.addProperty("sample_rate", histogram.sampleRate);
histogramJson.addProperty("num_buckets", histogram.buckets.size());
JsonArray bucketsJson = getBucketsJson(histogram.buckets);
histogramJson.add("buckets", bucketsJson);
return histogramJson.toString();
}
public static JsonArray getBucketsJson(List<Bucket> buckets) {
if (buckets == null) {
return null;
}
JsonArray bucketsJsonArray = new JsonArray();
buckets.stream().map(Bucket::serializeToJsonObj).forEach(bucketsJsonArray::add);
return bucketsJsonArray;
}
/** Build a histogram from column hot values when stored histogram has no MCV section. */
public static Histogram fromHotValues(ColumnStatistic colStats) {
Map<Literal, Float> hotValues = StatisticsUtil.getHotValuesWithOriginalThreshold(colStats.hotValues,
Math.max(1, colStats.ndv));
if (hotValues == null) {
return null;
}
if (colStats.histogram != null && !colStats.histogram.hasMcv()) {
Histogram withoutHotValues = colStats.histogram.removeValues(hotValues.keySet());
return new Histogram(colStats.histogram.dataType, 0, 0, Collections.emptyList(), hotValues,
withoutHotValues == null ? Collections.emptyList() : withoutHotValues.buckets);
}
double hotRatio = hotValues.values().stream().mapToDouble(r -> r).sum();
List<Bucket> buckets = hotRatio >= 1 ? Collections.emptyList() : Lists.newArrayList(new Bucket(
colStats.minValue, colStats.maxValue, 1 - hotRatio, 0, Math.max(1, colStats.ndv - hotValues.size())));
Type dataType = colStats.minExpr != null ? colStats.minExpr.getType() : Type.NULL;
return new Histogram(dataType, 0, 0, Collections.emptyList(), hotValues, buckets);
}
public boolean hasMcv() {
return !mcv.isEmpty();
}
/** True if a multi-ndv bucket collapses to equal bounds (e.g. ints beyond 2^53). */
public boolean hasCollapsedBuckets() {
for (Bucket bucket : Iterables.concat(buckets, mcvBuckets)) {
if (bucket.ndv > 1 && bucket.upper <= bucket.lower) {
return true;
}
}
return false;
}
/** Restrict histogram to [lower, upper]; open interval when {@code inclusive} is false. */
public Histogram intersectRange(double lower, double upper, boolean inclusive) {
DataType type = getDataType();
if (!inclusive) {
lower = nextValueAbove(lower, type);
upper = nextValueBelow(upper, type);
}
return rebuild(intersectBuckets(buckets, lower, upper, type), mcvInRange(lower, upper),
intersectBuckets(mcvBuckets, lower, upper, type));
}
private static double nextValueAbove(double value, DataType type) {
return type.isIntegralType() ? value + 1 : Math.nextUp(value);
}
private static double nextValueBelow(double value, DataType type) {
return type.isIntegralType() ? value - 1 : Math.nextDown(value);
}
private Map<Literal, Float> mcvInRange(double lower, double upper) {
Map<Literal, Float> result = Maps.newLinkedHashMap();
for (Map.Entry<Literal, Float> entry : mcv.entrySet()) {
double value = entry.getKey().getDouble();
if (value >= lower && value <= upper) {
result.put(entry.getKey(), entry.getValue());
}
}
return result;
}
private static List<Bucket> intersectBuckets(List<Bucket> source, double lower, double upper, DataType type) {
List<Bucket> result = Lists.newArrayList();
for (Bucket bucket : source) {
double newLower = Math.max(bucket.lower, lower);
double newUpper = Math.min(bucket.upper, upper);
if (newLower > newUpper) {
continue;
}
double fraction = bucket.coveredFraction(newLower, newUpper, type);
result.add(new Bucket(newLower, newUpper, bucket.count * fraction, 0, bucket.ndv * fraction));
}
return result;
}
/** Drop the given values from MCV/buckets. Null if nothing remains. */
public Histogram removeValues(Collection<Literal> values) {
Map<Literal, Float> newMcv = Maps.newLinkedHashMap(mcv);
List<Bucket> newBuckets = copyBuckets(buckets);
List<Bucket> newMcvBuckets = copyBuckets(mcvBuckets);
for (Literal value : values) {
removeValue(newBuckets, value.getDouble());
Literal key = StatisticsUtil.findHotValueKey(newMcv, value);
if (key != null) {
newMcv.remove(key);
} else {
removeValue(newMcvBuckets, value.getDouble());
}
}
return rebuild(newBuckets, newMcv, newMcvBuckets);
}
private static List<Bucket> copyBuckets(List<Bucket> source) {
List<Bucket> result = Lists.newArrayList();
for (Bucket bucket : source) {
result.add(new Bucket(bucket.lower, bucket.upper, bucket.count, 0, bucket.ndv));
}
return result;
}
private static void removeValue(List<Bucket> buckets, double value) {
for (int i = 0; i < buckets.size(); i++) {
Bucket bucket = buckets.get(i);
if (value < bucket.lower || value > bucket.upper) {
continue;
}
if (bucket.lower == bucket.upper || bucket.ndv <= 1) {
buckets.remove(i);
} else {
bucket.count -= bucket.count / bucket.ndv;
bucket.ndv -= 1;
}
return;
}
}
/** Keep only the given values as MCV. Null if none match. */
public Histogram retainValues(Collection<Literal> values) {
Map<Literal, Float> newMcv = Maps.newLinkedHashMap();
for (Literal value : values) {
double selectivity = getValueSelectivity(value);
if (selectivity > 0) {
Literal key = StatisticsUtil.findHotValueKey(mcv, value);
newMcv.put(key != null ? key : value, (float) selectivity);
}
}
return rebuild(Collections.emptyList(), newMcv, Collections.emptyList());
}
/** Row-share of values in [lower, upper] (open when {@code inclusive} is false). */
public double getRangeSelectivity(double lower, double upper, boolean inclusive) {
DataType type = getDataType();
if (!inclusive) {
lower = nextValueAbove(lower, type);
upper = nextValueBelow(upper, type);
}
double selectivity = mcvInRange(lower, upper).values().stream().mapToDouble(r -> r).sum();
double otherValuesCount = sumCount(getOtherValueBuckets());
if (otherValuesCount > 0) {
double keptCount = sumCount(intersectBuckets(getOtherValueBuckets(), lower, upper, type));
selectivity += (1 - getHotRatio()) * keptCount / otherValuesCount;
}
return selectivity;
}
public double getValuesSelectivity(Collection<Literal> values) {
double selectivity = 0;
for (Literal value : values) {
selectivity += getValueSelectivity(value);
}
return selectivity;
}
private double getValueSelectivity(Literal value) {
Literal key = StatisticsUtil.findHotValueKey(mcv, value);
if (key != null) {
return mcv.get(key);
}
double otherValuesCount = sumCount(getOtherValueBuckets());
if (otherValuesCount <= 0) {
return 0;
}
double doubleValue = value.getDouble();
for (Bucket bucket : getOtherValueBuckets()) {
if (doubleValue >= bucket.lower && doubleValue <= bucket.upper) {
return (1 - getHotRatio()) * bucket.count / otherValuesCount / Math.max(1, bucket.ndv);
}
}
return 0;
}
public double getNdv() {
return getOtherValueBuckets().stream().mapToDouble(b -> b.ndv).sum() + mcv.size();
}
public DataType getDataType() {
return dataType == null || dataType.isNull() ? NullType.INSTANCE : DataType.fromCatalogType(dataType);
}
private double getHotRatio() {
return mcv.values().stream().mapToDouble(r -> r).sum();
}
private static double sumCount(List<Bucket> buckets) {
return buckets.stream().mapToDouble(b -> b.count).sum();
}
private List<Bucket> getOtherValueBuckets() {
return hasMcv() ? mcvBuckets : buckets;
}
// Rebuild with renormalized MCV ratios; null if empty.
private Histogram rebuild(List<Bucket> newBuckets, Map<Literal, Float> newMcv, List<Bucket> newMcvBuckets) {
if (newMcv.isEmpty()) {
List<Bucket> remaining = newBuckets.isEmpty() ? newMcvBuckets : newBuckets;
return remaining.isEmpty() ? null : new Histogram(dataType, sampleRate, remaining.size(), remaining);
}
double otherValuesCount = sumCount(getOtherValueBuckets());
double keptCount = sumCount(hasMcv() ? newMcvBuckets : newBuckets);
double keptRatio = newMcv.values().stream().mapToDouble(r -> r).sum()
+ (otherValuesCount > 0 ? (1 - getHotRatio()) * keptCount / otherValuesCount : 0);
if (keptRatio > 0) {
newMcv.replaceAll((value, ratio) -> (float) (ratio / keptRatio));
}
return new Histogram(dataType, sampleRate, newBuckets.size(), newBuckets, newMcv, newMcvBuckets);
}
@Override
public String toString() {
return serializeToJson(this);
}
}