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Calculates correctly distributed percentages (that sums to 100%) of arrays, collections and maps of numbers.
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import java.math.BigDecimal; | |
import java.util.ArrayList; | |
import java.util.Arrays; | |
import java.util.Collection; | |
import java.util.Collections; | |
import java.util.List; | |
import java.util.Map; | |
import java.util.Map.Entry; | |
import static java.util.stream.Collectors.toMap; | |
import static java.util.stream.Collectors.toUnmodifiableList; | |
import static java.util.stream.Collectors.toUnmodifiableMap; | |
import java.util.stream.IntStream; | |
public class Percentage { | |
public static List<BigDecimal> of(int decimalPlaces, double... parts) { | |
double total = Arrays.stream(parts).sum(); | |
if (total == 0.0) | |
return Collections.unmodifiableList(Collections.nCopies(parts.length, BigDecimal.ZERO)); | |
else | |
return adjustedPercentages(decimalPlaces, Arrays.stream(parts) | |
.map(part -> (part / total) * 100.0) | |
.toArray()); | |
} | |
public static List<BigDecimal> of(int decimalPlaces, int... parts) { | |
return of(decimalPlaces, Arrays.stream(parts) | |
.asDoubleStream() | |
.toArray()); | |
} | |
public static List<BigDecimal> of(int decimalPlaces, long... parts) { | |
return of(decimalPlaces, Arrays.stream(parts) | |
.asDoubleStream() | |
.toArray()); | |
} | |
public static <T extends Number> List<BigDecimal> of(int decimalPlaces, List<T> parts) { | |
return of(decimalPlaces, parts.stream() | |
.mapToDouble(Number::doubleValue) | |
.toArray()); | |
} | |
public static <K, V extends Number> Map<K, BigDecimal> of(int decimalPlaces, Map<K, V> parts) { | |
List<Entry<K, V>> entries = new ArrayList<>(parts.entrySet()); | |
List<BigDecimal> percentages = of(decimalPlaces, entries.stream() | |
.map(Entry::getValue) | |
.mapToDouble(Number::doubleValue) | |
.toArray()); | |
return IntStream | |
.range(0, entries.size()) | |
.boxed() | |
.collect(toUnmodifiableMap(i -> entries.get(i).getKey(), percentages::get)); | |
} | |
public static <K, V extends Collection<?>> Map<K, BigDecimal> ofSizes(int decimalPlaces, Map<K, V> parts) { | |
return of(decimalPlaces, parts.entrySet().stream() | |
.collect(toMap(Entry::getKey, e -> e.getValue().size()))); | |
} | |
// Adjust de percentages using the Largest Remainder Method | |
// https://revs.runtime-revolution.com/getting-100-with-rounded-percentages-273ffa70252b | |
private static List<BigDecimal> adjustedPercentages(int decimalPlaces, double[] percentages) { | |
if (decimalPlaces < 0) | |
throw new IllegalArgumentException("Decimal places must be non-negative"); | |
// Precision multiplier | |
long multiplier = (long) Math.pow(10, decimalPlaces); | |
long[] longPercentages = Arrays.stream(percentages) | |
.mapToLong(percentage -> (long) (percentage * multiplier)) | |
.toArray(); | |
// Difference to 100% | |
long difference = (100 * multiplier) - Arrays.stream(longPercentages).sum(); | |
if (difference > 0) { | |
double[] remainders = Arrays.stream(percentages) | |
.map(percentage -> (percentage * multiplier) % 1.0) | |
.toArray(); | |
// Distribute the difference in decreasing order of remainder | |
IntStream | |
.range(0, remainders.length) | |
.boxed() | |
.sorted((i, j) -> -1 * Double.compare(remainders[i], remainders[j])) | |
.limit(difference) | |
.forEachOrdered(i -> longPercentages[i]++); | |
} | |
assert Arrays.stream(longPercentages).sum() == (100 * multiplier); | |
return Arrays.stream(longPercentages) | |
.mapToObj(percentage -> BigDecimal.valueOf(percentage, decimalPlaces)) | |
.collect(toUnmodifiableList()); | |
} | |
} |
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