Professor of Mathematics (Emeritus)

Loyola Marymount University

Los Angeles, CA

The package performs multiple-precision real interval arithmetic.

It provides the intrinsic Fortran numerical functions, as well as many special

functions that are not included in the Fortran standard.

One of the primary uses of the package is to study the accuracy and stability of numerical

algorithms by using interval arithmetic, giving results that are intervals guaranteed to

contain the exact solution.

The precision and base for the arithmetic can be set by the user.

The program SampleFMinterval.f95 below gives examples of using FM for interval calculations.

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website: FM_files.zip

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fm_interval.f95

Subroutine library for multiple-precision interval operations. 19,980 lines of code

TestFMinterval.f95

Checks several operations for each of the fm_interval routines. 19,907 lines of code

SampleFMinterval.f95

Small sample program using fm_interval. 656 lines of code

SampleFMinterval.chk

Expected output file from SampleFMinterval.f95. 192 lines

IntervalExamplesFM.f95

Interval examples from "A Multiple-Precision Interval Arithmetic Package". 1,169 lines of code

IntervalExamplesFM.chk

Expected output file from IntervalExamplesFM.f95. 367 lines

FM_Interval_User_Manual.txt

User's guide for the package, along with a list of the files, and an example set of

compiler/linker commands for building the programs. 182 lines

This paper describes the package and discusses several examples showing cases where interval

arithmetic works well and also cases where it doesn't.

A Multiple-Precision Interval Arithmetic Package

http://dmsmith.lmu.build/FMinterval2014.pdf (2014) 1 -- 14

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