Multiple Precision Complex Arithmetic and Functions

The ZM package is a collection of Fortran subroutines that performs floating point multiple precision evaluation of complex arithmetic and elementary functions. These routines use the FM package [7] for real multiple precision arithmetic, constants, and elementary functions. Brent’s MP package [4] did not support complex arithmetic, and Bailey’s more recent MP package [2,3] provides complex arithmetic and some complex elementary functions, and contains a Fortran-90 module defining multiple precision derived types. ZM also provides a Fortran-90 module that defines three multiple precision data types and provides the interface routines for overriding arithmetic operators and intrinsic Fortran-90 functions. This allows a program to declare variables as multiple precision real, integer, or complex, and then to describe operations on these variables using the normal syntax for arithmetic expressions. ZM versions are available for the numerical Fortran-90 intrinsic functions, and they provide good speed, rounding, and exception handling. They support flexible input and output conversion,