This is a modern Fortran implementation of the Carlson symmetric forms of elliptic integrals code from the SLATEC library. It has been extensively refactored.

1. B. C. Carlson and E. M. Notis, Algorithms for incomplete elliptic integrals, ACM Transactions on Mathematical Software 7, 3 (September 1981), pp. 398-403.
2. B. C. Carlson, Computing elliptic integrals by duplication, Numerische Mathematik 33, (1979), pp. 1-16.
3. B. C. Carlson, Elliptic integrals of the first kind, SIAM Journal of Mathematical Analysis 8, (1977), pp. 231-242.

The latest API documentation for the master branch can be found here. This was generated from the source code using FORD (note that the included build.sh script will also generate these files).

The carlson-elliptic-integrals source code and related files and documentation are distributed under a permissive free software license (BSD-style). The original Fortran 77 code is public domain.