Function G2lib::FresnelCS(real_type, real_type&, real_type&)¶
Defined in File Fresnel.cc
Function Documentation¶
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void G2lib::FresnelCS(real_type x, real_type &C, real_type &S)¶
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Purpose:
Compute Fresnel integrals C(x) and S(x)
\[ S(x) = \int_0^x \sin t^2 \,\mathrm{d} t, \qquad C(x) = \int_0^x \cos t^2 \,\mathrm{d} t \]Example:
\( x \)
\( C(x) \)
\( S(x) \)
0.0
0.00000000
0.00000000
0.5
0.49234423
0.06473243
1.0
0.77989340
0.43825915
1.5
0.44526118
0.69750496
2.0
0.48825341
0.34341568
2.5
0.45741301
0.61918176
Adapted from:
William J. Thompson, Atlas for computing mathematical functions : an illustrated guide for practitioners, with programs in C and Mathematica, Wiley, 1997.
Author:
Venkata Sivakanth Telasula, email: , date: August 11, 2005
- Parameters
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y – [in] Argument of \( C(y) \) and \( S(y) \)
C – [out] \( C(x) \)
S – [out] \( S(x) \)
