• Introduction
• ANSI C vs. Non-ANSI C and IMSL.h
• Matrix Storage Modes for the MATH and STAT Libraries
• Memory Allocation for Output Arrays
• Finding the Right Function
• Organization of the Documentation
• Naming Conventions
• Error Handling, Underflow and Overflow
• Printing Results
• Missing Values
• Complex Arithmetic

This manual contains a concise description of each function, with at least one demonstrated example of each function, including sample input and results. You will find all information pertaining to the IMSL C Numerical Library in the manual.

Moreover, all information pertaining to a particular function is in one place within a chapter.

Each chapter begins with an introduction followed by a table of contents listing the functions included in the chapter.

Documentation of the functions consists of the following information:

• Section Name: Usually, the common root for the type float and type double versions of the function is given.
• Purpose: A statement of the purpose of the function.
• Synopsis: The form for referencing the subprogram with required arguments listed.
• Required Arguments: A description of the required arguments in the order of their occurrence, as follows:
• Input: Argument must be initialized; it is not changed by the function.
• Input/Output: Argument must be initialized; the function returns output through this argument. The argument cannot be a constant or an expression.
• Output: No initialization is necessary. The argument cannot be a constant or an expression; the function returns output through this argument.
• Return Value: The value returned by the function.
• Synopsis with Optional Arguments: The form for referencing the function with both required and optional arguments listed.
• Optional Arguments: A description of the optional arguments in the order of their occurrence.
• Description: A description of the algorithm and references to detailed information. In many cases, other IMSL functions with similar or complementary functions are noted.
• Examples: At least one application of this function showing input and optional arguments.
• Errors: Listing of any errors that may occur with a particular function. A discussion on error types is given in the "User Errors" section of the reference material. The errors are listed by their type as follows:
• Informational Errors: List of informational errors that may occur with the function.
• Alert Errors: List of alert errors that may occur with the function.
• Warning Errors: List of warning errors that may occur with the function.
• Fatal Errors: List of fatal errors that may occur with the function.