mirror of https://github.com/apache/druid.git
Add ARRAY_QUANTILE function. (#13061)
* Add ARRAY_QUANTILE function. Expected usage is like: ARRAY_QUANTILE(ARRAY_AGG(x), 0.9). * Fix test.
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/*
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* Licensed to the Apache Software Foundation (ASF) under one
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* or more contributor license agreements. See the NOTICE file
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* distributed with this work for additional information
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* regarding copyright ownership. The ASF licenses this file
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* to you under the Apache License, Version 2.0 (the
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* "License"); you may not use this file except in compliance
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* with the License. You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing,
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* software distributed under the License is distributed on an
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* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
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* KIND, either express or implied. See the License for the
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* specific language governing permissions and limitations
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* under the License.
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*/
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package org.apache.druid.query.expression;
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import it.unimi.dsi.fastutil.doubles.DoubleArrayList;
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import it.unimi.dsi.fastutil.doubles.DoubleList;
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import org.apache.druid.java.util.common.StringUtils;
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import org.apache.druid.math.expr.Expr;
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import org.apache.druid.math.expr.ExprEval;
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import org.apache.druid.math.expr.ExprMacroTable;
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import org.apache.druid.math.expr.ExpressionType;
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import javax.annotation.Nonnull;
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import javax.annotation.Nullable;
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import java.util.List;
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/**
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* Computes a particular quantile from a numeric array.
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*
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* Usage: {@code array_quantile(array, rank)}. The requested quantile is given by "rank", which must be from 0 to 1,
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* inclusive: 0 is the minimum, 1 is the maximum. Null values in the input array are ignored.
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*
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* Returns {@link Double#NaN} if the requested quantile is below 0 or above 1. Returns {@link Double#NaN} if the
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* input array is numeric, yet contains no nonnull elements. Returns null if the input is not a numeric array at all.
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*
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* If the requested quantile falls between two elements of the input array, the result is a linear interpolation of
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* the two closest values. According to Wikipedia (https://en.wikipedia.org/wiki/Quantile), the interpolation algorithm
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* we're using is the default method in R, NumPy, and Julia, and matches Excel's PERCENTILE.INC function.
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*/
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public class ArrayQuantileExprMacro implements ExprMacroTable.ExprMacro
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{
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public static final String FN_NAME = "array_quantile";
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private static final String RANK_ARG_NAME = "rank";
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@Override
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public String name()
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{
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return FN_NAME;
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}
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@Override
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public Expr apply(final List<Expr> args)
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{
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validationHelperCheckArgumentCount(args, 2);
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final Expr arg = args.get(0);
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final Expr rankArg = args.get(1);
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validationHelperCheckArgIsLiteral(rankArg, RANK_ARG_NAME);
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if (!(rankArg.getLiteralValue() instanceof Number)) {
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throw validationFailed("%s must be a number", RANK_ARG_NAME);
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}
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final double rank = ((Number) rankArg.getLiteralValue()).doubleValue();
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class ArrayQuantileExpr extends ExprMacroTable.BaseScalarUnivariateMacroFunctionExpr
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{
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private ArrayQuantileExpr(Expr arg)
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{
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super(FN_NAME, arg);
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}
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@Nonnull
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@Override
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public ExprEval<?> eval(final ObjectBinding bindings)
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{
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final DoubleList doubles = toDoubleArray(arg.eval(bindings));
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if (doubles == null) {
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return ExprEval.ofDouble(null);
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}
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// Could speed up by using selection (like quickselect) instead of sort: expected O(n) instead of O(n logn).
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doubles.sort(null);
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return ExprEval.ofDouble(quantileFromSortedArray(doubles, rank));
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}
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@Override
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public Expr visit(Shuttle shuttle)
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{
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return shuttle.visit(apply(shuttle.visitAll(args)));
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}
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@Nullable
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@Override
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public ExpressionType getOutputType(InputBindingInspector inspector)
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{
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return ExpressionType.DOUBLE;
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}
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@Override
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public String stringify()
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{
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return StringUtils.format("%s(%s, %s)", FN_NAME, arg.stringify(), rankArg.stringify());
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}
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}
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return new ArrayQuantileExpr(arg);
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}
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/**
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* Returns a double[] copy of an {@link ExprEval}, or null if the eval is null, or is an array that contains any
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* nonnumeric elements. Nulls are skipped.
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*/
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@Nullable
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static DoubleList toDoubleArray(final ExprEval<?> eval)
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{
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if (!eval.type().isArray() || !eval.type().getElementType().isNumeric()) {
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return null;
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}
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final Object[] arr = eval.asArray();
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if (arr == null) {
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return null;
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}
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// Copy array to double[], while verifying all elements are numbers and skipping nulls.
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final DoubleArrayList doubles = new DoubleArrayList(arr.length);
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for (final Object o : arr) {
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if (o != null) {
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doubles.add(((Number) o).doubleValue());
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}
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}
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return doubles;
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}
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static double quantileFromSortedArray(final DoubleList sortedDoubles, final double rank)
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{
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if (sortedDoubles.size() == 0 || rank < 0 || rank > 1) {
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return Double.NaN;
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}
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final double index = rank * (sortedDoubles.size() - 1);
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if (index <= 0) {
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// Minimum
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return sortedDoubles.getDouble(0);
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} else if (index >= sortedDoubles.size() - 1) {
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// Maximum
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return sortedDoubles.getDouble(sortedDoubles.size() - 1);
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} else if (index == (int) index) {
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// Specific element
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return sortedDoubles.getDouble((int) index);
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} else {
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// Linearly interpolate between two closest elements
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final double step = index - (int) index;
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final double a = sortedDoubles.getDouble((int) index);
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final double b = sortedDoubles.getDouble((int) index + 1);
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return a + step * (b - a);
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}
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}
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}
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@ -0,0 +1,231 @@
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/*
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* Licensed to the Apache Software Foundation (ASF) under one
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* or more contributor license agreements. See the NOTICE file
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* distributed with this work for additional information
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* regarding copyright ownership. The ASF licenses this file
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* to you under the Apache License, Version 2.0 (the
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* "License"); you may not use this file except in compliance
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* with the License. You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing,
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* software distributed under the License is distributed on an
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* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
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* KIND, either express or implied. See the License for the
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* specific language governing permissions and limitations
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* under the License.
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*/
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package org.apache.druid.query.expression;
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import com.google.common.collect.ImmutableList;
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import it.unimi.dsi.fastutil.doubles.DoubleList;
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import it.unimi.dsi.fastutil.doubles.DoubleLists;
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import org.apache.druid.common.config.NullHandling;
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import org.apache.druid.math.expr.Expr;
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import org.apache.druid.math.expr.ExprEval;
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import org.apache.druid.math.expr.InputBindings;
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import org.apache.druid.testing.InitializedNullHandlingTest;
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import org.junit.Assert;
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import org.junit.Test;
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public class ArrayQuantileExprMacroTest extends InitializedNullHandlingTest
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{
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@Test
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public void test_apply_longArray()
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{
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final Expr result = new ArrayQuantileExprMacro().apply(
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ImmutableList.of(
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ExprEval.ofLongArray(new Object[]{1L, 3L, 2L}).toExpr(),
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ExprEval.ofDouble(0.5).toExpr()
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)
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);
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Assert.assertEquals(
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2.0,
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result.eval(InputBindings.nilBindings()).asDouble(),
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0.0
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);
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}
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@Test
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public void test_apply_longArrayWithNulls()
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{
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final Expr result = new ArrayQuantileExprMacro().apply(
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ImmutableList.of(
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ExprEval.ofLongArray(new Object[]{1L, 3L, null, null, null, 2L}).toExpr(),
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ExprEval.ofDouble(0.5).toExpr()
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)
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);
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Assert.assertEquals(
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2.0,
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result.eval(InputBindings.nilBindings()).asDouble(),
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0.0
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);
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}
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@Test
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public void test_apply_doubleArray()
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{
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final Expr result = new ArrayQuantileExprMacro().apply(
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ImmutableList.of(
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ExprEval.ofDoubleArray(new Object[]{1.0, 3.0, 2.0}).toExpr(),
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ExprEval.ofDouble(0.5).toExpr()
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)
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);
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Assert.assertEquals(
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2.0,
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result.eval(InputBindings.nilBindings()).asDouble(),
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0.0
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);
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}
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@Test
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public void test_apply_doubleArrayWithNulls()
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{
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final Expr result = new ArrayQuantileExprMacro().apply(
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ImmutableList.of(
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ExprEval.ofDoubleArray(new Object[]{1.0, null, null, null, 3.0, 2.0}).toExpr(),
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ExprEval.ofDouble(0.5).toExpr()
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)
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);
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Assert.assertEquals(
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2.0,
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result.eval(InputBindings.nilBindings()).asDouble(),
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0.0
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);
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}
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@Test
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public void test_apply_stringArray()
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{
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final Expr result = new ArrayQuantileExprMacro().apply(
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ImmutableList.of(
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ExprEval.ofStringArray(new Object[]{"1.0", "3.0", "2.0"}).toExpr(),
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ExprEval.ofDouble(0.5).toExpr()
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)
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);
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if (NullHandling.sqlCompatible()) {
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Assert.assertTrue(result.eval(InputBindings.nilBindings()).isNumericNull());
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} else {
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Assert.assertFalse(result.eval(InputBindings.nilBindings()).isNumericNull());
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Assert.assertEquals(0, result.eval(InputBindings.nilBindings()).asDouble(), 0);
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}
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}
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@Test
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public void test_apply_null()
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{
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final Expr result = new ArrayQuantileExprMacro().apply(
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ImmutableList.of(
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ExprEval.ofLongArray(null).toExpr(),
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ExprEval.ofDouble(0.5).toExpr()
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)
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);
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if (NullHandling.sqlCompatible()) {
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Assert.assertTrue(result.eval(InputBindings.nilBindings()).isNumericNull());
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} else {
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Assert.assertFalse(result.eval(InputBindings.nilBindings()).isNumericNull());
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Assert.assertEquals(0, result.eval(InputBindings.nilBindings()).asDouble(), 0);
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}
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}
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@Test
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public void test_quantileFromSortedArray()
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{
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final DoubleList doubles = DoubleList.of(
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1.74894566717352,
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2.45877596678213,
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6.84501873459025,
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18.05541572400960,
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18.46552908786640,
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21.67577450542990,
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28.27502148905920,
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29.38150656294550,
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31.51777607091530,
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35.07176789407870,
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35.44337813640110,
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36.00285458859680,
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38.02930138807480,
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38.91193281665990,
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39.10448180900530,
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41.73995751226990,
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44.09796685057930,
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44.97457148479690,
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69.52896057856050,
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74.77683331911330,
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77.96955453249100,
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80.79983221039570,
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83.32696453924490,
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87.71915087266120,
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90.18343512171780,
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96.84202159588680
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);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, -0.1), 0.0000001);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0), 0.0000001);
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Assert.assertEquals(1.748963413, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.000001), 0.0000001);
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Assert.assertEquals(12.45021723, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.1), 0.0000001);
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Assert.assertEquals(21.67577451, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.2), 0.0000001);
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Assert.assertEquals(30.44964132, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.3), 0.0000001);
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Assert.assertEquals(35.44337814, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.4), 0.0000001);
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Assert.assertEquals(38.4706171, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.5), 0.0000001);
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Assert.assertEquals(41.73995751, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.6), 0.0000001);
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Assert.assertEquals(57.25176603, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.7), 0.0000001);
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Assert.assertEquals(77.96955453, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.8), 0.0000001);
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Assert.assertEquals(85.52305771, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.9), 0.0000001);
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Assert.assertEquals(96.84185513, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.999999), 0.0000001);
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Assert.assertEquals(96.8420216, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 1), 0.0000001);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 1.1), 0.0000001);
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}
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@Test
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public void test_quantileFromSortedArray_singleElement()
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{
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final DoubleList doubles = DoubleList.of(1.748945667);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, -0.1), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.000001), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.1), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.2), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.3), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.4), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.5), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.6), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.7), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.8), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.9), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.999999), 0);
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Assert.assertEquals(1.748945667, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 1), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 1.1), 0);
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}
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@Test
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public void test_quantileFromSortedArray_noElements()
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{
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final DoubleList doubles = DoubleLists.emptyList();
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, -0.1), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.000001), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.1), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.2), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.3), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.4), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.5), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.6), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.7), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.8), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.9), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 0.999999), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 1), 0);
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Assert.assertEquals(Double.NaN, ArrayQuantileExprMacro.quantileFromSortedArray(doubles, 1.1), 0);
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}
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}
|
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@ -37,6 +37,7 @@ public class TestExprMacroTable extends ExprMacroTable
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{
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super(
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ImmutableList.of(
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new ArrayQuantileExprMacro(),
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new IPv4AddressMatchExprMacro(),
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new IPv4AddressParseExprMacro(),
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new IPv4AddressStringifyExprMacro(),
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|
|
|
@ -24,6 +24,7 @@ import com.google.inject.Binder;
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import com.google.inject.Module;
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import com.google.inject.multibindings.Multibinder;
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import org.apache.druid.math.expr.ExprMacroTable;
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import org.apache.druid.query.expression.ArrayQuantileExprMacro;
|
||||
import org.apache.druid.query.expression.CaseInsensitiveContainsExprMacro;
|
||||
import org.apache.druid.query.expression.ContainsExprMacro;
|
||||
import org.apache.druid.query.expression.GuiceExprMacroTable;
|
||||
|
@ -49,6 +50,7 @@ public class ExpressionModule implements Module
|
|||
{
|
||||
public static final List<Class<? extends ExprMacroTable.ExprMacro>> EXPR_MACROS =
|
||||
ImmutableList.<Class<? extends ExprMacroTable.ExprMacro>>builder()
|
||||
.add(ArrayQuantileExprMacro.class)
|
||||
.add(IPv4AddressMatchExprMacro.class)
|
||||
.add(IPv4AddressParseExprMacro.class)
|
||||
.add(IPv4AddressStringifyExprMacro.class)
|
||||
|
|
|
@ -0,0 +1,43 @@
|
|||
/*
|
||||
* Licensed to the Apache Software Foundation (ASF) under one
|
||||
* or more contributor license agreements. See the NOTICE file
|
||||
* distributed with this work for additional information
|
||||
* regarding copyright ownership. The ASF licenses this file
|
||||
* to you under the Apache License, Version 2.0 (the
|
||||
* "License"); you may not use this file except in compliance
|
||||
* with the License. You may obtain a copy of the License at
|
||||
*
|
||||
* http://www.apache.org/licenses/LICENSE-2.0
|
||||
*
|
||||
* Unless required by applicable law or agreed to in writing,
|
||||
* software distributed under the License is distributed on an
|
||||
* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
|
||||
* KIND, either express or implied. See the License for the
|
||||
* specific language governing permissions and limitations
|
||||
* under the License.
|
||||
*/
|
||||
|
||||
package org.apache.druid.sql.calcite.expression.builtin;
|
||||
|
||||
import org.apache.calcite.sql.SqlFunction;
|
||||
import org.apache.calcite.sql.SqlFunctionCategory;
|
||||
import org.apache.calcite.sql.type.SqlTypeFamily;
|
||||
import org.apache.calcite.sql.type.SqlTypeName;
|
||||
import org.apache.druid.sql.calcite.expression.DirectOperatorConversion;
|
||||
import org.apache.druid.sql.calcite.expression.OperatorConversions;
|
||||
|
||||
public class ArrayQuantileOperatorConversion extends DirectOperatorConversion
|
||||
{
|
||||
private static final SqlFunction SQL_FUNCTION = OperatorConversions
|
||||
.operatorBuilder("ARRAY_QUANTILE")
|
||||
.operandTypes(SqlTypeFamily.ARRAY, SqlTypeFamily.NUMERIC)
|
||||
.literalOperands(1)
|
||||
.functionCategory(SqlFunctionCategory.NUMERIC)
|
||||
.returnTypeNullable(SqlTypeName.DOUBLE)
|
||||
.build();
|
||||
|
||||
public ArrayQuantileOperatorConversion()
|
||||
{
|
||||
super(SQL_FUNCTION, "array_quantile");
|
||||
}
|
||||
}
|
|
@ -65,6 +65,7 @@ import org.apache.druid.sql.calcite.expression.builtin.ArrayOrdinalOfOperatorCon
|
|||
import org.apache.druid.sql.calcite.expression.builtin.ArrayOrdinalOperatorConversion;
|
||||
import org.apache.druid.sql.calcite.expression.builtin.ArrayOverlapOperatorConversion;
|
||||
import org.apache.druid.sql.calcite.expression.builtin.ArrayPrependOperatorConversion;
|
||||
import org.apache.druid.sql.calcite.expression.builtin.ArrayQuantileOperatorConversion;
|
||||
import org.apache.druid.sql.calcite.expression.builtin.ArraySliceOperatorConversion;
|
||||
import org.apache.druid.sql.calcite.expression.builtin.ArrayToStringOperatorConversion;
|
||||
import org.apache.druid.sql.calcite.expression.builtin.BTrimOperatorConversion;
|
||||
|
@ -225,6 +226,7 @@ public class DruidOperatorTable implements SqlOperatorTable
|
|||
.add(new ArrayOrdinalOperatorConversion())
|
||||
.add(new ArrayOffsetOfOperatorConversion())
|
||||
.add(new ArrayOrdinalOfOperatorConversion())
|
||||
.add(new ArrayQuantileOperatorConversion())
|
||||
.add(new ArraySliceOperatorConversion())
|
||||
.add(new ArrayToStringOperatorConversion())
|
||||
.add(new StringToArrayOperatorConversion())
|
||||
|
|
|
@ -1660,6 +1660,49 @@ public class CalciteArraysQueryTest extends BaseCalciteQueryTest
|
|||
);
|
||||
}
|
||||
|
||||
@Test
|
||||
public void testArrayAggQuantile()
|
||||
{
|
||||
cannotVectorize();
|
||||
testQuery(
|
||||
"SELECT ARRAY_QUANTILE(ARRAY_AGG(l1), 0.9) FROM numfoo",
|
||||
ImmutableList.of(
|
||||
Druids.newTimeseriesQueryBuilder()
|
||||
.dataSource(CalciteTests.DATASOURCE3)
|
||||
.intervals(querySegmentSpec(Filtration.eternity()))
|
||||
.granularity(Granularities.ALL)
|
||||
.aggregators(
|
||||
aggregators(
|
||||
new ExpressionLambdaAggregatorFactory(
|
||||
"a0",
|
||||
ImmutableSet.of("l1"),
|
||||
"__acc",
|
||||
"ARRAY<LONG>[]",
|
||||
"ARRAY<LONG>[]",
|
||||
true,
|
||||
true,
|
||||
false,
|
||||
"array_append(\"__acc\", \"l1\")",
|
||||
"array_concat(\"__acc\", \"a0\")",
|
||||
null,
|
||||
null,
|
||||
ExpressionLambdaAggregatorFactory.DEFAULT_MAX_SIZE_BYTES,
|
||||
TestExprMacroTable.INSTANCE
|
||||
)
|
||||
)
|
||||
)
|
||||
.postAggregators(
|
||||
expressionPostAgg("p0", "array_quantile(\"a0\",0.9)")
|
||||
)
|
||||
.context(QUERY_CONTEXT_DEFAULT)
|
||||
.build()
|
||||
),
|
||||
// Different results because there are some nulls in the column. In SQL-compatible mode we ignore them;
|
||||
// in replace-with-default mode we treat them as zeroes.
|
||||
ImmutableList.of(new Object[]{NullHandling.sqlCompatible() ? 260259.80000000002 : 162665.0})
|
||||
);
|
||||
}
|
||||
|
||||
@Test
|
||||
public void testArrayAggArrays()
|
||||
{
|
||||
|
|
Loading…
Reference in New Issue