Фаддеева's functions

Former-commit-id: 9edc05fd17c2571dc607ab9ee2fab591785cd9c3

faddeeva/Faddeeva.c

@@ -0,0 +1,3 @@
+/* The Faddeeva.cc file contains macros to let it compile as C code
+   (assuming C99 complex-number support), so just #include it. */
+#include "Faddeeva.cc"

faddeeva/Faddeeva.h

@@ -0,0 +1,68 @@
+/* Copyright (c) 2012 Massachusetts Institute of Technology
+ * 
+ * Permission is hereby granted, free of charge, to any person obtaining
+ * a copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ * 
+ * The above copyright notice and this permission notice shall be
+ * included in all copies or substantial portions of the Software.
+ * 
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+ * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
+ * LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+ * OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
+ * WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. 
+ */
+
+/* Available at: http://ab-initio.mit.edu/Faddeeva
+
+   Header file for Faddeeva.c; see Faddeeva.cc for more information. */
+
+#ifndef FADDEEVA_H
+#define FADDEEVA_H 1
+
+// Require C99 complex-number support
+#include <complex.h>
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif /* __cplusplus */
+
+// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ]
+extern double complex Faddeeva_w(double complex z,double relerr);
+extern double Faddeeva_w_im(double x); // special-case code for Im[w(x)] of real x
+
+// Various functions that we can compute with the help of w(z)
+
+// compute erfcx(z) = exp(z^2) erfc(z)
+extern double complex Faddeeva_erfcx(double complex z, double relerr);
+extern double Faddeeva_erfcx_re(double x); // special case for real x
+
+// compute erf(z), the error function of complex arguments
+extern double complex Faddeeva_erf(double complex z, double relerr);
+extern double Faddeeva_erf_re(double x); // special case for real x
+
+// compute erfi(z) = -i erf(iz), the imaginary error function
+extern double complex Faddeeva_erfi(double complex z, double relerr);
+extern double Faddeeva_erfi_re(double x); // special case for real x
+
+// compute erfc(z) = 1 - erf(z), the complementary error function
+extern double complex Faddeeva_erfc(double complex z, double relerr);
+extern double Faddeeva_erfc_re(double x); // special case for real x
+
+// compute Dawson(z) = sqrt(pi)/2  *  exp(-z^2) * erfi(z)
+extern double complex Faddeeva_Dawson(double complex z, double relerr);
+extern double Faddeeva_Dawson_re(double x); // special case for real x
+
+#ifdef __cplusplus
+}
+#endif /* __cplusplus */
+
+#endif // FADDEEVA_H

faddeeva/Faddeeva.hh

@@ -0,0 +1,62 @@
+/* Copyright (c) 2012 Massachusetts Institute of Technology
+ * 
+ * Permission is hereby granted, free of charge, to any person obtaining
+ * a copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ * 
+ * The above copyright notice and this permission notice shall be
+ * included in all copies or substantial portions of the Software.
+ * 
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+ * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
+ * LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+ * OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
+ * WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. 
+ */
+
+/* Available at: http://ab-initio.mit.edu/Faddeeva
+
+   Header file for Faddeeva.cc; see that file for more information. */
+
+#ifndef FADDEEVA_HH
+#define FADDEEVA_HH 1
+
+#include <complex>
+
+namespace Faddeeva {
+
+// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ]
+extern std::complex<double> w(std::complex<double> z,double relerr=0);
+extern double w_im(double x); // special-case code for Im[w(x)] of real x
+
+// Various functions that we can compute with the help of w(z)
+
+// compute erfcx(z) = exp(z^2) erfc(z)
+extern std::complex<double> erfcx(std::complex<double> z, double relerr=0);
+extern double erfcx(double x); // special case for real x
+
+// compute erf(z), the error function of complex arguments
+extern std::complex<double> erf(std::complex<double> z, double relerr=0);
+extern double erf(double x); // special case for real x
+
+// compute erfi(z) = -i erf(iz), the imaginary error function
+extern std::complex<double> erfi(std::complex<double> z, double relerr=0);
+extern double erfi(double x); // special case for real x
+
+// compute erfc(z) = 1 - erf(z), the complementary error function
+extern std::complex<double> erfc(std::complex<double> z, double relerr=0);
+extern double erfc(double x); // special case for real x
+
+// compute Dawson(z) = sqrt(pi)/2  *  exp(-z^2) * erfi(z)
+extern std::complex<double> Dawson(std::complex<double> z, double relerr=0);
+extern double Dawson(double x); // special case for real x
+
+} // namespace Faddeeva
+
+#endif // FADDEEVA_HH