| cerf.h | cerf.h | |||
|---|---|---|---|---|
| skipping to change at line 42 | skipping to change at line 42 | |||
| * Authors: | * Authors: | |||
| * Steven G. Johnson, Massachusetts Institute of Technology, 2012, core a uthor | * Steven G. Johnson, Massachusetts Institute of Technology, 2012, core a uthor | |||
| * Joachim Wuttke, Forschungszentrum Jülich, 2013, package maintainer | * Joachim Wuttke, Forschungszentrum Jülich, 2013, package maintainer | |||
| * | * | |||
| * Website: | * Website: | |||
| * http://apps.jcns.fz-juelich.de/libcerf | * http://apps.jcns.fz-juelich.de/libcerf | |||
| * | * | |||
| * Revision history: | * Revision history: | |||
| * ../CHANGELOG | * ../CHANGELOG | |||
| * | * | |||
| * References: | ||||
| * See man 3 w_of_z | ||||
| * | ||||
| * Man pages: | * Man pages: | |||
| * w_of_z(3), erfcx(3), cerf(3), dawson(3), voigt(3) | * w_of_z(3), dawson(3), voigt(3), cerf(3), erfcx(3), erfi(3) | |||
| */ | */ | |||
| #include <complex.h> // C99 complex-number support | #include <complex.h> // C99 complex-number support | |||
| #ifndef __CERF_H | #ifndef __CERF_H | |||
| # define __CERF_H | # define __CERF_H | |||
| # undef __BEGIN_DECLS | # undef __BEGIN_DECLS | |||
| # undef __END_DECLS | # undef __END_DECLS | |||
| # ifdef __cplusplus | # ifdef __cplusplus | |||
| # define __BEGIN_DECLS extern "C" { | # define __BEGIN_DECLS extern "C" { | |||
| # define __END_DECLS } | # define __END_DECLS } | |||
| # else | # else | |||
| # define __BEGIN_DECLS | # define __BEGIN_DECLS | |||
| # define __END_DECLS | # define __END_DECLS | |||
| # endif | # endif | |||
| __BEGIN_DECLS | __BEGIN_DECLS | |||
| // compute w(z) = exp(-z^2) erfc(-iz), Faddeeva's scaled complex error func tion | // compute w(z) = exp(-z^2) erfc(-iz), Faddeeva's scaled complex error func tion | |||
| double _Complex w_of_z (double _Complex z); | double _Complex w_of_z (double _Complex z); | |||
| double im_w_of_x(double x); // special case Im[w(x)] of real x | double im_w_of_x(double x); // special case Im[w(x)] of real x | |||
| double re_w_of_z( double x, double y ); | ||||
| double im_w_of_z( double x, double y ); | ||||
| // compute erf(z), the error function of complex arguments | // compute erf(z), the error function of complex arguments | |||
| double _Complex cerf (double _Complex z); | double _Complex cerf (double _Complex z); | |||
| // compute erfc(z) = 1 - erf(z), the complementary error function | // compute erfc(z) = 1 - erf(z), the complementary error function | |||
| double _Complex cerfc(double _Complex z); | double _Complex cerfc(double _Complex z); | |||
| // compute erfcx(z) = exp(z^2) erfc(z), an underflow-compensated version of erfc | // compute erfcx(z) = exp(z^2) erfc(z), an underflow-compensated version of erfc | |||
| double _Complex cerfcx(double _Complex z); | double _Complex cerfcx(double _Complex z); | |||
| double erfcx (double x); // special case for real x | double erfcx (double x); // special case for real x | |||
| skipping to change at line 89 | skipping to change at line 88 | |||
| double _Complex cerfi(double _Complex z); | double _Complex cerfi(double _Complex z); | |||
| double erfi (double x); // special case for real x | double erfi (double x); // special case for real x | |||
| // compute dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z), Dawson's integral | // compute dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z), Dawson's integral | |||
| double _Complex cdawson(double _Complex z); | double _Complex cdawson(double _Complex z); | |||
| double dawson (double x); // special case for real x | double dawson (double x); // special case for real x | |||
| // compute voigt(x,??), the convolution of a Gaussian and a Lorentzian | // compute voigt(x,??), the convolution of a Gaussian and a Lorentzian | |||
| double voigt( double x, double sigma, double gamma ); | double voigt( double x, double sigma, double gamma ); | |||
| // EXPERIMENTAL | ||||
| double cerf_experimental_imw( double x, double y ); | ||||
| double cerf_experimental_rew( double x, double y ); | ||||
| __END_DECLS | __END_DECLS | |||
| #endif /* __CERF_H__ */ | #endif /* __CERF_H__ */ | |||
| End of changes. 4 change blocks. | ||||
| 4 lines changed or deleted | 7 lines changed or added | |||