The Error Function
Keywords: the error function syntax description x y cppad_use_cplusplus_2011 true false example

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The Error Function
Syntax
`y = erf(x)`
Description
Returns the value of the error function which is defined by erf ( x ) = 2 π ∫ 0 x exp ( - t * t ) d t
x, y
See the possible types for a unary standard math function.
CPPAD_USE_CPLUSPLUS_2011
true
If this preprocessor symbol is true (`1`), and `x` is an AD type, this is an atomic operation .
false
If this preprocessor symbol is false (`0`), CppAD uses a fast approximation (few numerical operations) with relative error bound 4 × 10 -4 ; see Vedder, J.D., `Simple approximations for the error function and its inverse` , American Journal of Physics, v 55, n 8, 1987, p 762-3.
Example
The file erf.cpp contains an example and test of this function. It returns true if it succeeds and false otherwise.

Input File: cppad/local/erf.hpp