ATNINT

ATNINT (LET)

Library Function

This program computes the integral of the inverse-tangent function.

The ATNINT function is defined as:

with arctan denoting the inverse tangent function.

Dataplot computes this function using ACM Algorithm 757 (see Reference: below). The function is computed using Chebyshev expansions, the coefficients of which are given to 20 decimal places.

LET <y> = ATNINT(<x>)             <SUBSET/EXCEPT/FOR qualification>
where <x> is a number, variable or parameter;
            <y> is a variable or a parameter (depending on what <x> is) where the computed ATNINT function values are stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET A = ATNINT(2.3)
PLOT ATNINT(X) FOR X = 0 0.01 5
LET X2 = ATNINT(X1) FOR X1 = 0.1 0.1 3.0

None

None

TAN	= Compute the tangent function.
ARCTAN	= Compute the arctangent (=inverse) function.
ARCTANH	= Compute the hyperbolic arctangent function.
LOGINT	= Compute the logarithmic integral.
EXPINTN	= Compute the exponential integral of order N.
SININT	= Compute the sine integral.
COSINT	= Compute the cosine integral.

"ACM Transactions of Mathematical Software", Allan MacLead, Vol. 22, No. 3, September, 1996, pp. 288-301.

Special Functions

2005/11

 
TITLE INVERSE-TANGENT (ATNINT) FUNCTION
PLOT ATNINT(X) FOR X = 0 0.01 10