In general, the IMSL MATH LIBRARY Special Functions codes are written so that computations are not affected by underflow, provided the system (hardware or software) places a zero value in the register. In this case, system error messages indicating underflow should be ignored.

IMSL codes also are written to avoid overflow. A program that produces system error messages indicating overflow should be examined for programming errors such as incorrect input data, mismatch of argument types, or improper dimensioning.

In many cases, the documentation for a routine points out common pitfalls that can lead to failure of the algorithm.

Library routines detect error conditions, classify them as to severity, and treat them accordingly. This error‑handling capability provides automatic protection for the user without requiring the user to make any specific provisions for the treatment of error conditions. See the section on User Errors in the Reference Material for further details.