Interval package: Difference between revisions

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20 bytes removed ,  12 January 2015
→‎What to expect: Removed fenv package
(Added library dependency for GNU MPFR)
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''Why is the interval package accurate?''
''Why is the interval package accurate?''
Some basic operations are provided by the C library with directed rounding and correctly rounded result: plus, minus, division, multiplication and square root. These are used to build the most basic interval functions.
Some basic operations are provided by the C library on common platforms with directed rounding and correctly rounded result: plus, minus, division, multiplication and square root. All other GNU Octave arithmetic functions are not guaranteed to produce accurate results, because they are based on C99 floating-point routines [http://www.gnu.org/software/libc/manual/html_node/Errors-in-Math-Functions.html#Errors-in-Math-Functions]. Their results depend on hardware, system libraries and compilation options.


All other GNU Octave arithmetic functions are not guaranteed to produce accurate results, because they are based on C99 floating-point routines [http://www.gnu.org/software/libc/manual/html_node/Errors-in-Math-Functions.html#Errors-in-Math-Functions]. Their results depend on hardware, system libraries and compilation options. The interval package handles these functions with the help of the [http://www.mpfr.org/ GNU MPFR library]. With MPFR it is possible to compute valid and tight enclosure of the correct results.
The interval package handles all functions with the help of the [http://www.mpfr.org/ GNU MPFR library]. With MPFR it is possible to compute system-independent, valid and tight enclosures of the correct results.


== Quick start introduction ==
== Quick start introduction ==
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