Xsub Ln Add1

Evaluation of the function x - ln(1 + x)

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Interface
Xsub Ln Add1
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Interface

C++

Excel

Xsub Ln Add1

doublexsub_ln_add1( double x )

Evaluations the function

$x - ln(1 + x)$

(1)

Use when x is small, in the range 0.39 < x < 0.57, and expansion of this function yeilds a more accurate answer. For langer values of x, the solution is merely calculated in the usual way.

References:

DiDinato, A. R. and Morris, A. H. Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios. ACM Trans. Math. Softw. 18 (1993), 360-373.

Parameters

x	the value at which to evaluate the function

Authors

Will Bateman (August 2005)

Source Code

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Last Modified: 18 Oct 07 @ 17:07 Page Rendered: 2022-03-14 17:42:20