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/* ====================================================================
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.poi.ss.formula.functions;
import org.apache.poi.ss.formula.eval.*;
import org.apache.poi.ss.util.NumberToTextConverter;
import org.apache.poi.util.Internal;
import java.math.BigDecimal;
import java.math.RoundingMode;
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;
/**
* Implementation of 'the Excel function PERCENTRANK()
*
* Syntax:
* PERCENTRANK(array, X, [significance])
*
* array The array or range of data with numeric values that defines relative standing.
* X The value for which you want to know the rank.
* significance Optional. A value that identifies the number of significant digits for the returned percentage value.
* If omitted, PERCENTRANK uses three digits (0.xxx).
*
* Returns a number between 0 and 1 representing a percentage.
*
* @since POI 5.1.0
*/
public final class PercentRank implements Function {
public static final Function instance = new PercentRank();
private PercentRank() {
// Enforce singleton
}
public ValueEval evaluate(ValueEval[] args, int srcRowIndex, int srcColumnIndex) {
if (args.length < 2) {
return ErrorEval.VALUE_INVALID;
}
double x;
try {
ValueEval ev = OperandResolver.getSingleValue(args[1], srcRowIndex, srcColumnIndex);
x = OperandResolver.coerceValueToDouble(ev);
} catch (EvaluationException e) {
ValueEval error = e.getErrorEval();
if (error == ErrorEval.NUM_ERROR) {
return error;
}
return ErrorEval.NUM_ERROR;
}
ArrayList numbers = new ArrayList<>();
try {
List values = getValues(args[0], srcRowIndex, srcColumnIndex);
for (ValueEval ev : values) {
if (ev instanceof BlankEval || ev instanceof MissingArgEval) {
//skip
} else {
numbers.add(OperandResolver.coerceValueToDouble(ev));
}
}
} catch (EvaluationException e) {
ValueEval error = e.getErrorEval();
if (error != ErrorEval.NA) {
return error;
}
return ErrorEval.NUM_ERROR;
}
if (numbers.isEmpty()) {
return ErrorEval.NUM_ERROR;
}
int significance = 3;
if (args.length > 2) {
try {
ValueEval ev = OperandResolver.getSingleValue(args[2], srcRowIndex, srcColumnIndex);
significance = OperandResolver.coerceValueToInt(ev);
if (significance < 1) {
return ErrorEval.NUM_ERROR;
}
} catch (EvaluationException e) {
return e.getErrorEval();
}
}
return calculateRank(numbers, x, significance, true);
}
private ValueEval calculateRank(List numbers, double x, int significance, boolean recurse) {
double closestMatchBelow = Double.MIN_VALUE;
double closestMatchAbove = Double.MAX_VALUE;
if (recurse) {
for (Double d : numbers) {
if (d <= x && d > closestMatchBelow) closestMatchBelow = d;
if (d > x && d < closestMatchAbove) closestMatchAbove = d;
}
}
if (!recurse || closestMatchBelow == x || closestMatchAbove == x) {
int lessThanCount = 0;
int greaterThanCount = 0;
for (Double d : numbers) {
if (d < x) lessThanCount++;
else if (d > x) greaterThanCount++;
}
if (greaterThanCount == numbers.size() || lessThanCount == numbers.size()) {
return ErrorEval.NA;
}
if (lessThanCount + greaterThanCount == 0) {
return new NumberEval(0);
} else {
BigDecimal result = BigDecimal.valueOf((double)lessThanCount / (double)(lessThanCount + greaterThanCount));
return new NumberEval(round(result, significance));
}
} else {
int intermediateSignificance = significance < 5 ? 8 : significance + 3;
ValueEval belowRank = calculateRank(numbers, closestMatchBelow, intermediateSignificance, false);
if (!(belowRank instanceof NumberEval)) {
return belowRank;
}
ValueEval aboveRank = calculateRank(numbers, closestMatchAbove, intermediateSignificance, false);
if (!(aboveRank instanceof NumberEval)) {
return aboveRank;
}
return interpolate(x, closestMatchBelow, closestMatchAbove, (NumberEval)belowRank, (NumberEval)aboveRank, significance);
}
}
@Internal
public static NumberEval interpolate(double x, double closestMatchBelow, double closestMatchAbove,
NumberEval belowRank, NumberEval aboveRank, int significance) {
double diff = closestMatchAbove - closestMatchBelow;
double pos = x - closestMatchBelow;
BigDecimal rankDiff = new BigDecimal(NumberToTextConverter.toText(aboveRank.getNumberValue() - belowRank.getNumberValue()));
BigDecimal result = BigDecimal.valueOf(belowRank.getNumberValue()).add(rankDiff.multiply(BigDecimal.valueOf(pos / diff)));
return new NumberEval(round(result, significance));
}
@Internal
public static double round(BigDecimal bd, int significance) {
//the rounding in https://support.microsoft.com/en-us/office/percentrank-function-f1b5836c-9619-4847-9fc9-080ec9024442
//is very inconsistent, this hodge podge of rounding modes is the only way to match Excel results
BigDecimal bd2 = bd.setScale(significance + 3, RoundingMode.HALF_UP);
return bd2.setScale(significance, RoundingMode.DOWN).doubleValue();
}
@Internal
public static List getValues(ValueEval eval, int srcRowIndex, int srcColumnIndex) throws EvaluationException {
if (eval instanceof AreaEval) {
AreaEval ae = (AreaEval)eval;
List list = new ArrayList<>();
for (int r = ae.getFirstRow(); r <= ae.getLastRow(); r++) {
for (int c = ae.getFirstColumn(); c <= ae.getLastColumn(); c++) {
list.add(OperandResolver.getSingleValue(ae.getAbsoluteValue(r, c), r, c));
}
}
return list;
} else {
return Collections.singletonList(OperandResolver.getSingleValue(eval, srcRowIndex, srcColumnIndex));
}
}
}