Editing Interval package
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The [https://sourceforge.net/p/octave/interval/ interval package] provides data types and fundamental operations for real valued interval arithmetic based on the common floating-point format “binary64” a. k. a. double-precision. '''Interval arithmetic''' produces mathematically proven numerical results. It aims to be standard compliant with the (upcoming) [http://standards.ieee.org/develop/project/1788.html IEEE 1788] and therefore implements the ''set-based'' interval arithmetic flavor. | |||
Warning: The package has not yet been released. | |||
== Motivation == | |||
{{quote|Give a digital computer a problem in arithmetic, and it will grind away methodically, tirelessly, at gigahertz speed, until ultimately it produces the wrong answer. … An interval computation yields a pair of numbers, an upper and a lower bound, which are guaranteed to enclose the exact answer. Maybe you still don’t know the truth, but at least you know how much you don’t know.|Brian Hayes|[http://dx.doi.org/10.1511/2003.6.484 DOI: 10.1511/2003.6.484]}} | |||
octave:1> 19 * 0.1 - 2 + 0.1 | |||
ans = 1.3878e-16 | |||
octave:1> x = infsup (0.1); | |||
octave:2> 19 * x - 2 + x | |||
ans = [-8.326672684688675e-17, +1.3877787807814457e-16] | |||
== | == Quick start introduction == | ||
=== Input and output === | |||
=== | === Decorations === | ||
=== Arithmetic operations === | |||
=== Reverse arithmetic operations === | |||
=== | === Numerical operations === | ||
=== Boolean operations === | |||
[[Category:Octave-Forge]] | |||