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| {{OctaveForge
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| | name = interval
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| | logo = [[File:Interval.png|100px]]
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| | short description = Real-valued interval arithmetic.
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| | version = 3.2.0
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| | date = 2018-07-01
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| | author 1 name = Oliver Heimlich
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| | author 1 email = <oheim@posteo.de>
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| | maintainer 1 name = Oliver Heimlich
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| | maintainer 1 email = <oheim@posteo.de>
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| | license = GPL-3.0+
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| | group = Community package
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| | doc 1 = [https://octave.sourceforge.io/interval/overview.html Function reference]
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| | doc 2 = [https://octave.sourceforge.io/interval/package_doc/ User manual]
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| | download 1 = [https://octave.sourceforge.io/download.php?package=interval-3.2.0.tar.gz interval-3.2.0.tar.gz]
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| | repository 1 = https://octave.sourceforge.io/pkg-repository/interval/
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| | dependency 1 = octave ≥ 3.8.0
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| | dependency 2 = '''Runtime:''' mpfr (≥ 3.1.0) [https://packages.debian.org/search?keywords=libmpfr4 libmpfr4 for Debian]
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| | dependency 3 = '''Build:''' mpfr (≥ 3.1.0) [https://packages.debian.org/search?keywords=libmpfr-dev libmpfr-dev for Debian]
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| }}
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| The GNU Octave interval package for real-valued [https://en.wikipedia.org/wiki/Interval_arithmetic interval arithmetic]. | | The GNU Octave interval package for real-valued [https://en.wikipedia.org/wiki/Interval_arithmetic interval arithmetic]. |
| * Intervals are closed, connected subsets of the real numbers. Intervals may be unbound (in either or both directions) or empty. In special cases <code>+inf</code> and <code>-inf</code> are used to denote boundaries of unbound intervals, but any member of the interval is a finite real number.
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| * Classical functions are extended to interval functions as follows: The result of function f evaluated on interval x is an interval '''enclosure of all possible values''' of f over x where the function is defined. Most interval arithmetic functions in this package manage to produce a very accurate such enclosure.
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| * The result of an interval arithmetic function is an interval in general. It might happen, that the mathematical range of a function consist of several intervals, but their union will be returned, e. g., 1 / [-1, 1] = [Entire].
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| | __TOC__ |
| [[File:Interval-sombrero.png|280px|thumb|left|Example: Plotting the interval enclosure of a function]] | | [[File:Interval-sombrero.png|280px|thumb|left|Example: Plotting the interval enclosure of a function]] |
| <div style="clear:left"></div> | | <div style="clear:left"></div> |
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| == Distribution == | | == Distribution == |
| | * [https://octave.sourceforge.io/interval/ Latest version at Octave Forge] |
| | ** <code>pkg install -forge interval</code> |
| | ** [https://octave.sourceforge.io/interval/overview.html function reference] |
| | ** [https://octave.sourceforge.io/interval/package_doc/index.html package documentation] (user manual) |
| | '''Third-party''' |
| * [https://tracker.debian.org/pkg/octave-interval Debian GNU/Linux], [https://launchpad.net/ubuntu/+source/octave-interval Launchpad Ubuntu] | | * [https://tracker.debian.org/pkg/octave-interval Debian GNU/Linux], [https://launchpad.net/ubuntu/+source/octave-interval Launchpad Ubuntu] |
| * [https://aur.archlinux.org/packages/octave-interval/ archlinux user repository] | | * [https://aur.archlinux.org/packages/octave-interval/ archlinux user repository] |
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| [[Category:Octave Forge]] | | [[Category:Octave-Forge]] |