Fresnel integrals

Computes fresnel integrals with 1*10^-9 accuracy.

Description

MEX file to compute Fresnel integrals.
       
[C, S] = fcs(x) returns Fresnel integrals C ans S for argument x, x must be double and real.

F = fcs(x) returns complex F = C+i*S

Algorithm:
This function uses an improved method for computing Fresnel integrals with an error of less then 1x10^-9, described in:
 
Klaus D. Mielenz, Computation of Fresnel Integrals. II
J. Res. Natl. Inst. Stand. Technol. 105, 589 (2000), pp 589-590
 
Notes for Linux implementation
Compile this with:
 mex -O fcs.c
  
Notes for Windows implementation
Compile this with:
 mex -O fcs.c -DWIN32

Acknowledgements

This file inspired Fresnel S And Fresnel C and Fresnel Integral.

• MATLAB release: MATLAB 7.0.1 (R14SP1)
• Other requirements: Windows, Linux

[shao]

it was a great help to my work!

[Neo]

this rocks!!!! thanks for the prog

[jose]

Thanks for the program. It is great!
only fcs.c is needed. download it and compile with
>> mex fcs.c
(mine version is MATLAB2008b on WinXP SP2), so no -O or -DWIN32 options needed.
It will automatically generate fcs.mexw32.
The syntax of fcs.mexw32 file is documented in fcs.m which is nothing but an empty shell.

[vincent mulu]

 

[A Z]

Thanks for this program, it was a great help to my work!

[Timothy Chow]

Seems to work great!