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Rounding fix #392
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Rounding fix #392
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#!/bin/sh | ||
# | ||
# Copyright 2023 The original authors | ||
# | ||
# Licensed 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. | ||
# | ||
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JAVA_OPTS="" | ||
java $JAVA_OPTS --class-path target/average-1.0.0-SNAPSHOT.jar dev.morling.onebrc.CalculateAverage_baseline_original_rounding |
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100 changes: 100 additions & 0 deletions
100
src/main/java/dev/morling/onebrc/CalculateAverage_baseline_original_rounding.java
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/* | ||
* Copyright 2023 The original authors | ||
* | ||
* Licensed 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 dev.morling.onebrc; | ||
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import static java.util.stream.Collectors.*; | ||
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import java.io.IOException; | ||
import java.nio.file.Files; | ||
import java.nio.file.Paths; | ||
import java.util.Map; | ||
import java.util.TreeMap; | ||
import java.util.stream.Collector; | ||
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/** | ||
* This is the original version of the baseline implementation. It contains a | ||
* rounding bug, which can cause calculated mean values to be off by 0.1. See | ||
* {@link CalculateAverage_baseline} for the correct behavior. This version here | ||
* is only kept for reference, in particular for determining whether an | ||
* implementation is valid with the old behavior. Any new or updated entries to | ||
* the challenge must conform to the correct behavior as implemented by | ||
* {@code CalculateAverage_baseline}. | ||
*/ | ||
public class CalculateAverage_baseline_original_rounding { | ||
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private static final String FILE = "./measurements.txt"; | ||
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private static record Measurement(String station, double value) { | ||
private Measurement(String[] parts) { | ||
this(parts[0], Double.parseDouble(parts[1])); | ||
} | ||
} | ||
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private static record ResultRow(double min, double mean, double max) { | ||
public String toString() { | ||
return round(min) + "/" + round(mean) + "/" + round(max); | ||
} | ||
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private double round(double value) { | ||
return Math.round(value * 10.0) / 10.0; | ||
} | ||
}; | ||
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private static class MeasurementAggregator { | ||
private double min = Double.POSITIVE_INFINITY; | ||
private double max = Double.NEGATIVE_INFINITY; | ||
private double sum; | ||
private long count; | ||
} | ||
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public static void main(String[] args) throws IOException { | ||
// Map<String, Double> measurements1 = Files.lines(Paths.get(FILE)) | ||
// .map(l -> l.split(";")) | ||
// .collect(groupingBy(m -> m[0], averagingDouble(m -> Double.parseDouble(m[1])))); | ||
// | ||
// measurements1 = new TreeMap<>(measurements1.entrySet() | ||
// .stream() | ||
// .collect(toMap(e -> e.getKey(), e -> Math.round(e.getValue() * 10.0) / 10.0))); | ||
// System.out.println(measurements1); | ||
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Collector<Measurement, MeasurementAggregator, ResultRow> collector = Collector.of( | ||
MeasurementAggregator::new, | ||
(a, m) -> { | ||
a.min = Math.min(a.min, m.value); | ||
a.max = Math.max(a.max, m.value); | ||
a.sum += m.value; | ||
a.count++; | ||
}, | ||
(agg1, agg2) -> { | ||
var res = new MeasurementAggregator(); | ||
res.min = Math.min(agg1.min, agg2.min); | ||
res.max = Math.max(agg1.max, agg2.max); | ||
res.sum = agg1.sum + agg2.sum; | ||
res.count = agg1.count + agg2.count; | ||
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return res; | ||
}, | ||
agg -> { | ||
return new ResultRow(agg.min, agg.sum / agg.count, agg.max); | ||
}); | ||
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Map<String, ResultRow> measurements = new TreeMap<>(Files.lines(Paths.get(FILE)) | ||
.map(l -> new Measurement(l.split(";"))) | ||
.collect(groupingBy(m -> m.station(), collector))); | ||
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System.out.println(measurements); | ||
} | ||
} |
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{ham=14.6/25.5/33.6, jel=-9.0/18.0/46.5} |
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This is not correct and just adds another rounding on top of two roundings by toString and println and thus hiding the problem even more.
You see, as I mentioned in #49, the problem can not be fixed when double is used for calculation because not all numbers can be exactly represented as doubles (e.g. 0.1 or 99.9, see https://math.stackexchange.com/questions/2710986/exact-representation-of-floating-point-numbers) and therefore Douple.parseDouble or the summation are already imprecise. Adding any kind of rounding during calculation of average or printing won't fix that.
Consider:
prints
As you can see the sum is not precise even before we do any division.
The proper way is either (slow) to use BigDecimal for the row values and to calculate sum and then apply rounding after average calculation or (fast) use integer summation of row*10 which is possible because input uses fixed format and then again apply rounding at the end.
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I think it should be something like this:
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You are right, the calculation isn't correct, and it's certainly not what I would recommend to do in any real-world application.
But does it matter in any practical sense for the challenge at hand? Specifically, can there be any 1B row dataset with values of one fractional digit where the accumulated error would be so significant, that the result with one fractional digit would differ from the result of a correct implementation?