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https://issues.apache.org/jira/browse/NUMBERS-193?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17699060#comment-17699060
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Sentaro Onizuka commented on NUMBERS-193:
-----------------------------------------
Hi,
Based on the answers to my
[question|https://www.mail-archive.com/[email protected]/msg73497.html], I
have considered the following directions.
# First, using a JMH benchmark, test whether object creation and garbage
collection affect the performance.
This is a necessary evaluation to implement the DD class as an immutable class
like BigDecimal.
## Copy the DD class into a JMH project and add OO methods that create a new
instance for all operations.
## Compare performance with and without the OO method. For performance
comparisons, use the Kolmogorov-Smirnov p-value computation from statistics. I
recognize that this is to execute the
[testOneLarge|https://github.com/apache/commons-statistics/blob/31103db1687f69e2875e5e3d9bd0ce1c670627d0/commons-statistics-inference/src/test/java/org/apache/commons/statistics/inference/KolmogorovSmirnovDistributionTest.java#L706]
method in KolmogorovSmirnovDistributionTest.java.
# Next, implement the DD class as a new number module, like complex numbers
and fractions.
## In the c++ library, operators for four arithmetic operations are
implemented, but I cannot implement them in java because operator overloading
is not supported.
Therefore, I would implement the API for the four arithmetic operations as
methods of the immutable class. That is, the API consists of methods acting on
the current instance and returning a new instance.
## Identify what APIs are provided in the statistics and C++ libraries and
implement other necessary APIs. The API provided by the c++ reference
implementation can be found mainly in dd_real.h. ( I've already focused on what
API is in the c++ library.)
# Finally, I will need to test the implemented API.
What do you think about the direction?
> This is where I would start with an API design. E.g. what OO API does the c++
> reference implementation provide?
Also, I have focused on what API is in the c++ library. What else is needed for
API design?
Best regards,
> Add support for extended precision floating-point numbers
> ---------------------------------------------------------
>
> Key: NUMBERS-193
> URL: https://issues.apache.org/jira/browse/NUMBERS-193
> Project: Commons Numbers
> Issue Type: New Feature
> Reporter: Alex Herbert
> Priority: Major
> Labels: full-time, gsoc2023, part-time
>
> Add implementations of extended precision floating point numbers.
> An extended precision floating point number is a series of floating-point
> numbers that are non-overlapping such that:
> {noformat}
> double-double (a, b):
> |a| > |b|
> a == a + b{noformat}
> Common representations are double-double and quad-double (see for example
> David Bailey's paper on a quad-double library:
> [QD|https://www.davidhbailey.com/dhbpapers/qd.pdf]).
> Many computations in the Commons Numbers and Statistics libraries use
> extended precision computations where the accumulated error of a double would
> lead to complete cancellation of all significant bits; or create intermediate
> overflow of integer values.
> This project would formalise the code underlying these use cases with a
> generic library applicable for use in the case where the result is expected
> to be a finite value and using Java's BigDecimal and/or BigInteger negatively
> impacts performance.
> An example would be the average of long values where the intermediate sum
> overflows or the conversion to a double loses bits:
> {code:java}
> long[] values = {Long.MAX_VALUE, Long.MAX_VALUE};
> System.out.println(Arrays.stream(values).average().getAsDouble());
> System.out.println(Arrays.stream(values).mapToObj(BigDecimal::valueOf)
> .reduce(BigDecimal.ZERO, BigDecimal::add)
> .divide(BigDecimal.valueOf(values.length)).doubleValue());
> long[] values2 = {Long.MAX_VALUE, Long.MIN_VALUE};
> System.out.println(Arrays.stream(values2).asDoubleStream().average().getAsDouble());
> System.out.println(Arrays.stream(values2).mapToObj(BigDecimal::valueOf)
> .reduce(BigDecimal.ZERO, BigDecimal::add)
> .divide(BigDecimal.valueOf(values2.length)).doubleValue());
> {code}
> Outputs:
> {noformat}
> -1.0
> 9.223372036854776E18
> 0.0
> -0.5{noformat}
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