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/*
* file: utils/dpComplex.h
* Purpose: portable complex class definition
* stolen from GNU's complex class
* Author: Thomas Ott
*
* History: 30.07.1999: file created
* 25.08.1999: changed method polar to complex_polar so it
* doesn't interfere with other complex classes
* 20.10.2004: now uses GNU Scientific Library code
*/
#ifndef dpComplex_H
#define dpComplex_H
#include <math.h>
#include <string.h>
#include <gsl/gsl_complex_math.h>
#include "defines.h"
dpCOMPLEX Complex(double re, double im);
double Cabs(dpCOMPLEX z);
dpCOMPLEX Cmul(dpCOMPLEX a, dpCOMPLEX b);
dpCOMPLEX Cdiv(dpCOMPLEX a, dpCOMPLEX b);
dpCOMPLEX RCmul(double x, dpCOMPLEX a);
extern long numberOfdpComplex;
class dpComplex {
public:
dpComplex (double r = 0.0, double i = 0.0);
dpComplex(const dpComplex &);
~dpComplex();
dpComplex& operator += (const dpComplex&);
dpComplex& operator -= (const dpComplex&);
dpComplex& operator *= (const dpComplex&);
dpComplex& operator /= (const dpComplex&);
double real () const { return GSL_REAL(value); }
double imag () const { return GSL_IMAG(value); }
//private:
gsl_complex value;
// These functions are specified as friends for purposes of name injection;
// they do not actually reference private members.
friend double real (const dpComplex&);
friend double imag (const dpComplex&);
friend bool isReal(const dpComplex&);
friend bool isImag(const dpComplex&);
friend dpComplex operator + (const dpComplex&, const dpComplex&);
friend dpComplex operator + (const dpComplex&, double);
friend dpComplex operator + (double, const dpComplex&);
friend dpComplex operator - (const dpComplex&, const dpComplex&);
friend dpComplex operator - (const dpComplex&, double);
friend dpComplex operator - (double, const dpComplex&);
friend dpComplex operator - (const dpComplex&);
friend dpComplex operator * (const dpComplex&, const dpComplex&);
friend dpComplex operator * (const dpComplex&, double);
friend dpComplex operator * (double, const dpComplex&);
friend dpComplex operator / (const dpComplex&, const dpComplex&);
friend dpComplex operator / (const dpComplex&, double);
friend dpComplex operator / (double, const dpComplex&);
friend bool operator == (const dpComplex&, const dpComplex&);
friend bool operator == (const dpComplex&, double);
friend bool operator == (double, const dpComplex&);
friend bool operator != (const dpComplex&, const dpComplex&);
friend bool operator != (const dpComplex&, double);
friend bool operator != (double, const dpComplex&);
friend dpComplex complex_polar (double, double);
friend dpComplex complex_pow (const dpComplex&, const dpComplex&);
friend dpComplex complex_pow (const dpComplex&, double);
friend dpComplex complex_pow (const dpComplex&, int);
friend dpComplex complex_pow (double, const dpComplex&);
};
// double imag(const dpComplex &);
// double real(const dpComplex &);
// bool isReal(const dpComplex &);
// bool isImag(const dpComplex &s);
// inline dpComplex operator + (const dpComplex& x, const dpComplex& y) {
// dpComplex result(x);
// result += y;
//
// return result;
// }
// inline dpComplex operator + (const dpComplex& x, double y) {
// dpComplex result;
//
// result.value = gsl_complex_add_real(x.value, y);
//
// return result;
// }
//
// inline dpComplex operator + (double x, const dpComplex& y) {
// return y + x;
// }
// inline dpComplex operator - (const dpComplex& x, const dpComplex& y) {
// dpComplex result;
//
// result.value = gsl_complex_sub(x.value, y.value);
//
// return result;
// }
//
// inline dpComplex operator - (const dpComplex& x, double y) {
// dpComplex result;
//
// result.value = gsl_complex_sub_real(x.value, y);
//
// return result;
// }
//
// inline dpComplex operator - (double x, const dpComplex& y) {
// dpComplex result;
//
// result.value = gsl_complex_mul_real(y.value, -1.0);
// result.value = gsl_complex_add_real(result.value, x);
//
// return result;
// }
//
// inline dpComplex operator * (const dpComplex& x, const dpComplex& y) {
// dpComplex result;
//
// result.value = gsl_complex_mul(x.value, y.value);
//
// return result;
// }
//
// inline dpComplex operator * (const dpComplex& x, double y) {
// dpComplex result;
//
// result.value = gsl_complex_mul_real(x.value, y);
//
// return result;
// }
//
// inline dpComplex operator * (double x, const dpComplex& y) {
// return y * x;
// }
//
// inline dpComplex operator / (const dpComplex& x, double y) {
// dpComplex result;
//
// result.value = gsl_complex_div_real(x.value, y);
//
// return result;
// }
//
// inline dpComplex operator + (const dpComplex& x) {
// return x;
// }
//
// inline dpComplex operator - (const dpComplex& x) {
// dpComplex result;
//
// result.value = gsl_complex_mul_real(x.value, -1.0);
//
// return result;
// }
//
// inline bool operator == (const dpComplex& x, const dpComplex& y) {
// return real(x) == real(y) && imag(x) == imag(y);
// }
//
// inline bool operator == (const dpComplex& x, double y) {
// return real(x) == y && imag(x) == 0;
// }
//
// inline bool operator == (double x, const dpComplex& y) {
// return x == real(y) && imag(y) == 0;
// }
//
// inline bool operator != (const dpComplex& x, const dpComplex& y) {
// return real(x) != real(y) || imag(x) != imag(y);
// }
//
// inline bool operator != (const dpComplex& x, double y) {
// return real(x) != y || imag(x) != 0;
// }
//
// inline bool operator != (double x, const dpComplex& y) {
// return x != real(y) || imag(y) != 0;
// }
// inline double complex_abs (const dpComplex& x) {
// return gsl_complex_abs(x.value);
// }
//
// inline double complex_arg (const dpComplex& x) {
// return gsl_complex_arg(x.value);
// }
// inline dpComplex complex_polar (double r, double t)
// {
// dpComplex result;
//
// result.value = gsl_complex_polar(r, t);
//
// return result;
// }
// inline dpComplex complex_conj (const dpComplex& x) {
// dpComplex result;
//
// result.value = gsl_complex_conjugate(x.value);
//
// return result;
// }
//
// inline double complex_norm (const dpComplex& x) {
// return gsl_complex_abs2(x.value);
// }
// Declarations of functions in dpComplex.cpp
dpComplex operator / (const dpComplex&, const dpComplex&);
dpComplex operator / (double, const dpComplex&);
dpComplex complex_cos (const dpComplex&);
dpComplex complex_cosh (const dpComplex&);
dpComplex complex_exp (const dpComplex&);
dpComplex complex_log (const dpComplex&);
dpComplex complex_pow (const dpComplex&, const dpComplex&);
dpComplex complex_pow (const dpComplex&, double);
dpComplex complex_pow (const dpComplex&, int);
dpComplex complex_pow (double, const dpComplex&);
dpComplex complex_sin (const dpComplex&);
dpComplex complex_sinh (const dpComplex&);
dpComplex complex_sqrt (const dpComplex&);
dpComplex complex_tan (const dpComplex&);
dpComplex complex_tanh (const dpComplex&);
dpComplex complex_asin (const dpComplex&);
dpComplex complex_acos (const dpComplex&);
dpComplex complex_atan (const dpComplex&);
dpComplex complex_asinh (const dpComplex&);
dpComplex complex_acosh (const dpComplex&);
dpComplex complex_atanh (const dpComplex&);
double complex_abs (const dpComplex& x);
dpComplex complex_conj (const dpComplex& x);
double complex_arg (const dpComplex& x);
dpComplex complex_polar (double, double);
#endif
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