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fresnel cos

Fresnel cos integral.
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C++
Excel

Fresnel Cos

 doublefresnel_cos( double x )
Evaluates the cosine Fresnel integral.

$C(x)&space;=&space;\int_0^x&space;cos(\frac{\pi}{2}&space;t^2)&space;dt$

There is an error with your graph parameters for fresnel_cos with options x=-4:4

Error Message:Function fresnel_cos failed. Ensure that: Invalid C++

The integral is evaluated by a power series for x < 1.
For x >= 1 auxiliary functions f(x) and g(x) are employed such that

$S(x)&space;=&space;0.5&space;-&space;f(x)&space;cos(\frac{\pi}{2}&space;x^2)&space;-&space;g(x)&space;sin(\frac{\pi}{2}&space;x^2)$

Accuracy:

<pre> Relative error. domain # trials peak rms 0, 10 10000 1.8e-15 3.3e-16 </pre>

Parameters

 x main input argument

Authors

Cephes Math Library Release 2.8: June, 2000 Copyright 1984, 1987, 1989, 2000 by Stephen L. Moshier
Documentation Nick Owens
Source Code

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