Organization of the Documentation
This manual contains a concise description of each function with at least one example demonstrating the use of each function, including sample input and results. All information pertaining to a particular function is in one place within a chapter.
Each chapter begins with a table of contents listing the functions included in the chapter followed by an introduction. 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. |






