fresnel sin

Fresnel sin integral.

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Interface

C++

doublefresnel_sin( double x )

Evaluates the sine Fresnel integral

$S(x) = \int_0^x sin(\frac{\pi}{2} t^2) dt$

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

Error Message:Function fresnel_sin 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

$C(x) = 0.5 + f(x) sin(\frac{\pi}{2} x^2) - g(x) cos(\frac{\pi}{2} x^2)$

                       Relative error.
 domain     # trials      peak         rms
  0, 10       10000       2.0e-15     3.2e-16

x	main input argument

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

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