http://debianws.lexgopc.com/wiki143/index.php?action=history&feed=atom&title=Class_Library_for_NumbersClass Library for Numbers - Revision history2026-10-26T16:00:51ZRevision history for this page on the wikiMediaWiki 1.43.1http://debianws.lexgopc.com/wiki143/index.php?title=Class_Library_for_Numbers&diff=6055174&oldid=previmported>Wikideas1: See also section added * GiNaC2025-03-09T02:38:13Z<p>See also section added * <a href="/wiki143/index.php?title=GiNaC" title="GiNaC">GiNaC</a></p>
<p><b>New page</b></p><div>{{Short description|Free library for arbitrary precision arithmetic}}<br />
{{Infobox software<br />
| name = CLN, a Class Library for Numbers<br />
| logo = <br />
| screenshot = <br />
| caption = <br />
| developer = Bruno Haible and Richard B. Kreckel<br />
| latest release version = 1.3.7<br />
| latest release date = {{start date and age|2024|01|22}}<br />
| programming language = [[C++11]]<br />
| operating system = [[Cross-platform]]<br />
| genre = [[Mathematical software]]<br />
| license = [[GNU General Public License|GPL]]<br />
| website = https://www.ginac.de/CLN/<br />
}}<br />
{{Portal|Free and open-source software}}<br />
'''Class Library for Numbers''' ('''CLN''') is a [[free software|free]] [[library (computing)|library]] for [[arbitrary precision arithmetic]]. It operates on signed [[integer]]s, [[rational numbers]], [[floating point]] numbers, [[complex numbers]], [[modular arithmetic|modular]] numbers, and univariate [[polynomial]]s. Its implementation [[programming language]] is [[C++]].<br />
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==Details==<br />
CLN uses [[object oriented]] techniques and [[operator overloading]] to achieve a natural [[algebra]]ic syntax: The sum ''x'' of two variables ''a'' and ''b'' is written as ''x''&nbsp;=&nbsp;''a''&nbsp;+&nbsp;''b'', as opposed to the function sum(&''x'',&nbsp;''a'',&nbsp;''b'').<br />
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CLN uses [[Inheritance (object-oriented programming)|class inheritance]] to model the natural [[subset]]s of the available number types: E.g. the integer class is a subtype of the rational class, just as the integer numbers are a subset of the rational numbers. The complex numbers and all its subtypes behave exactly like the types of numbers known to the [[Common Lisp]] language, giving CLN another meaning: it becomes an abbreviation of ''Common Lisp Numbers''. Due to this, CLN can be and is used for implementations of Common Lisp, other interpreted languages, or [[computer algebra system]]s.<br />
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The implementation is efficient. It can be configured to use the [[GNU Multi-Precision Library]] as kernel for speed-critical [[inner loop]]s and implements advanced algorithms like [[Schönhage–Strassen algorithm|Schönhage–Strassen multiplication]], [[binary splitting]]<ref>{{cite book|last1=Haible|first1=Bruno|last2=Papanikolaou|first2=Thomas|title=Algorithmic Number Theory |chapter=Fast multiprecision evaluation of series of rational numbers|editor1-first=Joe P.|editor1-last=Buhler|series=Lecture Notes in Computer Science|date=1998 |volume=1423|pages=338–350 |doi=10.1007/BFb0054873|isbn=978-3-540-69113-6}}</ref> for computing certain [[mathematical constants]] and others. All CLN objects are either immediate or [[reference counting|reference counted]], providing for non-interruptive [[garbage collection (computer science)|garbage collection]] with no burden on the main application.<br />
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==See also==<br />
* [[GiNaC]]<br />
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==References==<br />
{{Reflist}}<br />
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== External links ==<br />
*[https://www.ginac.de/CLN/ CLN website]<br />
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{{Computer algebra systems}}<br />
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[[Category:Free software programmed in C++]]<br />
[[Category:C++ numerical libraries]]<br />
[[Category:Software using the GNU General Public License]]<br />
[[Category:Pi-related software]]</div>imported>Wikideas1