FORTRAN SOFTWARE CATALOG

Repository owner: Jacob Williams (jacobwilliams)

carlson-elliptic-integrals

Carlson symmetric elliptic integrals for pendulum periods and other applications.

Repository · Pinned source (5f25a59a555b) · Try in playground · Checked package example

GAMS classifications

About this package

Category
Special functions
License
BSD-3

Topics: carlson-symmetric-forms, elliptic-integrals, pendulum, special-functions

Package dependencies

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Build record verified 2026-10-28.

Used by (0 selected packages)

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Reviewed procedures

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drf

Module: carlson_elliptic_module

C14

C14: verified

Derivatives / callbacks: not applicable

Carlson symmetric RF evaluated for pendulum periods and checked against independent composite Simpson integration. Dedicated C14 driver checks ten RF values against diagonal identities and two independent Simpson integral forms, plus permutation and homogeneity identities. Positive triples use 2048/4096 panels; four complete elliptic-integral moduli use 4096 panels. Singular/extreme arguments and other Carlson functions are outside the driver.

Pinned source: src/carlson_elliptic_module.F90

Load checked GAMS driver: gams-carlson-rf-reference