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// This may look like C code, but it is really -*- C++ -*-
/*
Copyright (C) 1988 Free Software Foundation
written by Doug Lea (dl@rocky.oswego.edu)
This file is part of GNU CC.
GNU CC is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY. No author or distributor
accepts responsibility to anyone for the consequences of using it
or for whether it serves any particular purpose or works at all,
unless he says so in writing. Refer to the GNU CC General Public
License for full details.
Everyone is granted permission to copy, modify and redistribute
GNU CC, but only under the conditions described in the
GNU CC General Public License. A copy of this license is
supposed to have been given to you along with GNU CC so you
can know your rights and responsibilities. It should be in a
file named COPYING. Among other things, the copyright notice
and this notice must be preserved on all copies.
*/
#ifndef _Complex_h
#ifdef __GNUG__
#pragma once
#pragma interface
#endif
#define _Complex_h 1
#include <stream.h>
#include <math.h>
class Complex
{
#ifdef __ATT_complex__
public:
#else
protected:
#endif
double re;
double im;
public:
double real() const;
double imag() const;
Complex();
Complex(const Complex& y);
Complex(double r, double i=0);
~Complex();
Complex& operator = (const Complex& y);
Complex& operator += (const Complex& y);
Complex& operator += (double y);
Complex& operator -= (const Complex& y);
Complex& operator -= (double y);
Complex& operator *= (const Complex& y);
Complex& operator *= (double y);
Complex& operator /= (const Complex& y);
Complex& operator /= (double y);
void error(const char* msg) const;
};
// error handlers
extern void default_Complex_error_handler(const char*);
extern one_arg_error_handler_t Complex_error_handler;
extern one_arg_error_handler_t
set_Complex_error_handler(one_arg_error_handler_t f);
// non-inline functions
Complex operator / (const Complex& x, const Complex& y);
Complex operator / (const Complex& x, double y);
Complex operator / (double x, const Complex& y);
Complex cos(const Complex& x);
Complex sin(const Complex& x);
Complex cosh(const Complex& x);
Complex sinh(const Complex& x);
Complex exp(const Complex& x);
Complex log(const Complex& x);
Complex pow(const Complex& x, long p);
Complex pow(const Complex& x, const Complex& p);
Complex pow(const Complex& x, double y);
Complex sqrt(const Complex& x);
istream& operator >> (istream& s, Complex& x);
ostream& operator << (ostream& s, const Complex& x);
// other functions defined as inlines
int operator == (const Complex& x, const Complex& y);
int operator == (const Complex& x, double y);
int operator != (const Complex& x, const Complex& y);
int operator != (const Complex& x, double y);
Complex operator - (const Complex& x);
Complex conj(const Complex& x);
Complex operator + (const Complex& x, const Complex& y);
Complex operator + (const Complex& x, double y);
Complex operator + (double x, const Complex& y);
Complex operator - (const Complex& x, const Complex& y);
Complex operator - (const Complex& x, double y);
Complex operator - (double x, const Complex& y);
Complex operator * (const Complex& x, const Complex& y);
Complex operator * (const Complex& x, double y);
Complex operator * (double x, const Complex& y);
double real(const Complex& x);
double imag(const Complex& x);
double abs(const Complex& x);
double norm(const Complex& x);
double arg(const Complex& x);
Complex polar(double r, double t = 0.0);
#if defined(__OPTIMIZE__) || defined(USE_LIBGXX_INLINES)
// inline members
inline double Complex::real() const { return re; }
inline double Complex::imag() const { return im; }
inline Complex::Complex() {}
inline Complex::Complex(const Complex& y) :re(y.real()), im(y.imag()) {}
inline Complex::Complex(double r, double i) :re(r), im(i) {}
inline Complex::~Complex() {}
inline Complex& Complex::operator = (const Complex& y)
{
re = y.real(); im = y.imag(); return *this;
}
inline Complex& Complex::operator += (const Complex& y)
{
re += y.real(); im += y.imag(); return *this;
}
inline Complex& Complex::operator += (double y)
{
re += y; return *this;
}
inline Complex& Complex::operator -= (const Complex& y)
{
re -= y.real(); im -= y.imag(); return *this;
}
inline Complex& Complex::operator -= (double y)
{
re -= y; return *this;
}
inline Complex& Complex::operator *= (const Complex& y)
{
double r = re * y.real() - im * y.imag();
im = re * y.imag() + im * y.real();
re = r;
return *this;
}
inline Complex& Complex::operator *= (double y)
{
re *= y; im *= y; return *this;
}
// functions
inline int operator == (const Complex& x, const Complex& y)
{
return x.real() == y.real() && x.imag() == y.imag();
}
inline int operator == (const Complex& x, double y)
{
return x.imag() == 0.0 && x.real() == y;
}
inline int operator != (const Complex& x, const Complex& y)
{
return x.real() != y.real() || x.imag() != y.imag();
}
inline int operator != (const Complex& x, double y)
{
return x.imag() != 0.0 || x.real() != y;
}
inline Complex operator - (const Complex& x)
{
return Complex(-x.real(), -x.imag());
}
inline Complex conj(const Complex& x)
{
return Complex(x.real(), -x.imag());
}
inline Complex operator + (const Complex& x, const Complex& y)
{
return Complex(x.real() + y.real(), x.imag() + y.imag());
}
inline Complex operator + (const Complex& x, double y)
{
return Complex(x.real() + y, x.imag());
}
inline Complex operator + (double x, const Complex& y)
{
return Complex(x + y.real(), y.imag());
}
inline Complex operator - (const Complex& x, const Complex& y)
{
return Complex(x.real() - y.real(), x.imag() - y.imag());
}
inline Complex operator - (const Complex& x, double y)
{
return Complex(x.real() - y, x.imag());
}
inline Complex operator - (double x, const Complex& y)
{
return Complex(x - y.real(), -y.imag());
}
inline Complex operator * (const Complex& x, const Complex& y)
{
return Complex(x.real() * y.real() - x.imag() * y.imag(),
x.real() * y.imag() + x.imag() * y.real());
}
inline Complex operator * (const Complex& x, double y)
{
return Complex(x.real() * y, x.imag() * y);
}
inline Complex operator * (double x, const Complex& y)
{
return Complex(x * y.real(), x * y.imag());
}
inline double real(const Complex& x)
{
return x.real();
}
inline double imag(const Complex& x)
{
return x.imag();
}
inline double abs(const Complex& x)
{
return hypot(x.real(), x.imag());
}
inline double norm(const Complex& x)
{
return (x.real() * x.real() + x.imag() * x.imag());
}
inline double arg(const Complex& x)
{
return atan2(x.imag(), x.real());
}
inline Complex polar(double r, double t)
{
return Complex(r * cos(t), r * sin(t));
}
#endif __OPTIMIZE__
#endif
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