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- /* complex.h
-
- Complex Number Library - Include File
- class complex: declarations for complex numbers.
-
- Copyright (c) 1990, 1991 by Borland International
- All Rights Reserved.
-
- All function names, member names, and operators have been borrowed
- from AT&T C++, except for the addition of:
-
- friend complex _Cdecl acos(complex &);
- friend complex _Cdecl asin(complex &);
- friend complex _Cdecl atan(complex &);
- friend complex _Cdecl log10(complex &);
- friend complex _Cdecl tan(complex &);
- friend complex _Cdecl tanh(complex &);
- complex _Cdecl operator+();
- complex _Cdecl operator-();
- */
-
- #ifndef __cplusplus
- #error Must use C++ for the type complex.
- #endif
-
- #if !defined( __DEFS_H )
- #include <_defs.h>
- #endif
-
- #if !defined( __COMPLEX_H )
- #define __COMPLEX_H
-
- #if !defined( __MATH_H )
- #include <math.h>
- #endif
-
- #pragma option -Vo-
-
- _CLASSDEF(complex)
-
- class _CLASSTYPE complex {
-
- public:
- // constructors
- complex(double __re_val, double __im_val=0);
- complex();
-
- // complex manipulations
- friend double _Cdecl real(complex &); // the real part
- friend double _Cdecl imag(complex &); // the imaginary part
- friend complex _Cdecl conj(complex &); // the complex conjugate
- friend double _Cdecl norm(complex &); // the square of the magnitude
- friend double _Cdecl arg(complex &); // the angle in the plane
-
- // Create a complex object given polar coordinates
- friend complex _Cdecl polar(double __mag, double __angle=0);
-
- // Overloaded ANSI C math functions
- friend double _Cdecl abs(complex &);
- friend complex _Cdecl acos(complex &);
- friend complex _Cdecl asin(complex &);
- friend complex _Cdecl atan(complex &);
- friend complex _Cdecl cos(complex &);
- friend complex _Cdecl cosh(complex &);
- friend complex _Cdecl exp(complex &);
- friend complex _Cdecl log(complex &);
- friend complex _Cdecl log10(complex &);
- friend complex _Cdecl pow(complex & __base, double __expon);
- friend complex _Cdecl pow(double __base, complex & __expon);
- friend complex _Cdecl pow(complex & __base, complex & __expon);
- friend complex _Cdecl sin(complex &);
- friend complex _Cdecl sinh(complex &);
- friend complex _Cdecl sqrt(complex &);
- friend complex _Cdecl tan(complex &);
- friend complex _Cdecl tanh(complex &);
-
- // Binary Operator Functions
- friend complex _Cdecl operator+(complex &, complex &);
- friend complex _Cdecl operator+(double, complex &);
- friend complex _Cdecl operator+(complex &, double);
- friend complex _Cdecl operator-(complex &, complex &);
- friend complex _Cdecl operator-(double, complex &);
- friend complex _Cdecl operator-(complex &, double);
- friend complex _Cdecl operator*(complex &, complex &);
- friend complex _Cdecl operator*(complex &, double);
- friend complex _Cdecl operator*(double, complex &);
- friend complex _Cdecl operator/(complex &, complex &);
- friend complex _Cdecl operator/(complex &, double);
- friend complex _Cdecl operator/(double, complex &);
- friend int _Cdecl operator==(complex &, complex &);
- friend int _Cdecl operator!=(complex &, complex &);
- complex & _Cdecl operator+=(complex &);
- complex & _Cdecl operator+=(double);
- complex & _Cdecl operator-=(complex &);
- complex & _Cdecl operator-=(double);
- complex & _Cdecl operator*=(complex &);
- complex & _Cdecl operator*=(double);
- complex & _Cdecl operator/=(complex &);
- complex & _Cdecl operator/=(double);
- complex _Cdecl operator+();
- complex _Cdecl operator-();
-
- // Implementation
- private:
- double re, im;
- };
-
-
- // Inline complex functions
-
- inline complex::complex(double __re_val, double __im_val)
- {
- re = __re_val;
- im = __im_val;
- }
-
- inline complex::complex()
- {
- /* if you want your complex numbers initialized ...
- re = im = 0;
- */
- }
-
- inline complex _Cdecl complex::operator+()
- {
- return *this;
- }
-
- inline complex _Cdecl complex::operator-()
- {
- return complex(-re, -im);
- }
-
-
- // Definitions of compound-assignment operator member functions
-
- inline complex & _Cdecl complex::operator+=(complex & __z2)
- {
- re += __z2.re;
- im += __z2.im;
- return *this;
- }
-
- inline complex & _Cdecl complex::operator+=(double __re_val2)
- {
- re += __re_val2;
- return *this;
- }
-
- inline complex & _Cdecl complex::operator-=(complex & __z2)
- {
- re -= __z2.re;
- im -= __z2.im;
- return *this;
- }
-
- inline complex & _Cdecl complex::operator-=(double __re_val2)
- {
- re -= __re_val2;
- return *this;
- }
-
- inline complex & _Cdecl complex::operator*=(double __re_val2)
- {
- re *= __re_val2;
- im *= __re_val2;
- return *this;
- }
-
- inline complex & _Cdecl complex::operator/=(double __re_val2)
- {
- re /= __re_val2;
- im /= __re_val2;
- return *this;
- }
-
-
- // Definitions of non-member complex functions
-
- inline double _Cdecl real(complex & __z)
- {
- return __z.re;
- }
-
- inline double _Cdecl imag(complex & __z)
- {
- return __z.im;
- }
-
- inline complex _Cdecl conj(complex & __z)
- {
- return complex(__z.re, -__z.im);
- }
-
- inline complex _Cdecl polar(double __mag, double __angle)
- {
- return complex(__mag*cos(__angle), __mag*sin(__angle));
- }
-
-
- // Definitions of non-member binary operator functions
-
- inline complex _Cdecl operator+(complex & __z1, complex & __z2)
- {
- return complex(__z1.re + __z2.re, __z1.im + __z2.im);
- }
-
- inline complex _Cdecl operator+(double __re_val1, complex & __z2)
- {
- return complex(__re_val1 + __z2.re, __z2.im);
- }
-
- inline complex _Cdecl operator+(complex & __z1, double __re_val2)
- {
- return complex(__z1.re + __re_val2, __z1.im);
- }
-
- inline complex _Cdecl operator-(complex & __z1, complex & __z2)
- {
- return complex(__z1.re - __z2.re, __z1.im - __z2.im);
- }
-
- inline complex _Cdecl operator-(double __re_val1, complex & __z2)
- {
- return complex(__re_val1 - __z2.re, -__z2.im);
- }
-
- inline complex _Cdecl operator-(complex & __z1, double __re_val2)
- {
- return complex(__z1.re - __re_val2, __z1.im);
- }
-
- inline complex _Cdecl operator*(complex & __z1, double __re_val2)
- {
- return complex(__z1.re*__re_val2, __z1.im*__re_val2);
- }
-
- inline complex _Cdecl operator*(double __re_val1, complex & __z2)
- {
- return complex(__z2.re*__re_val1, __z2.im*__re_val1);
- }
-
- inline complex _Cdecl operator/(complex & __z1, double __re_val2)
- {
- return complex(__z1.re/__re_val2, __z1.im/__re_val2);
- }
-
- inline int _Cdecl operator==(complex & __z1, complex & __z2)
- {
- return __z1.re == __z2.re && __z1.im == __z2.im;
- }
-
- inline int _Cdecl operator!=(complex & __z1, complex & __z2)
- {
- return __z1.re != __z2.re || __z1.im != __z2.im;
- }
-
-
- // Complex stream I/O
-
- #include <iostream.h>
-
- ostream & _Cdecl operator<<(ostream &, complex &);
- istream & _Cdecl operator>>(istream &, complex &);
-
- #pragma option -Vo.
-
- #endif // __COMPLEX_H
-