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221 lines
6.5 KiB
C
221 lines
6.5 KiB
C
/************************************************************
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Created: Monday, June 27, 1988 12:42:53 PM
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Complex.h
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C Interface to the Macintosh Libraries
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Copyright Apple Computer, Inc. 1985-1991
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All rights reserved.
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This file is used in these builds: ROM System
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Change History (most recent first):
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<2> 8/8/91 JL Update copyright
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To Do:
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************************************************************/
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#ifndef __COMPLEX__
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#define __COMPLEX__
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#ifndef __SANE__
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#include <SANE.h>
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#endif
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struct complex;
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/*
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NOTE to users of the complex class stream i/o functionality:
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In order to use the complex stream functionality prototyped by the two following
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function declarations one must include either <IOStream.h> or <Stream.h> before
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including <Complex.h>.
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*/
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#ifdef __IOSTREAM__
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ostream& operator<<(ostream&, complex);
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istream& operator>>(istream&, complex&);
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#endif
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struct complex {
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extended re;
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extended im;
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#ifdef __cplusplus
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complex() { re =0.0; im =0.0; }
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complex(extended r, extended i =0.0) { re =r; im =i; }
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friend extended real(const complex);
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friend extended imag(const complex);
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friend extended abs(complex);
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friend extended norm(complex);
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friend extended arg(complex);
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friend complex acos(complex);
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friend complex acosh(complex);
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friend complex asin(complex);
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friend complex asinh(complex);
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friend complex atan(complex);
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friend complex atanh(complex);
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friend complex conj(complex);
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friend complex cos(complex);
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friend complex cosh(complex);
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friend complex exp(complex);
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friend complex log(complex);
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friend complex pow(complex, complex);
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friend complex pow(complex, long);
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friend complex pow(complex, extended);
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friend complex pow(extended, complex);
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friend complex polar(extended, extended);
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friend complex sin(complex);
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friend complex sinh(complex);
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friend complex sqrt(complex);
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friend complex sqr(complex);
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friend complex tan(complex);
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friend complex tanh(complex);
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friend complex operator +(complex, complex);
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friend complex operator -(complex, complex);
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friend complex operator -(complex);
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friend complex operator *(complex, complex);
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friend complex operator *(complex, extended);
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friend complex operator *(extended, complex);
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friend complex operator /(complex, complex);
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friend complex operator /(complex, extended);
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friend complex operator /(extended, complex);
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friend int operator ==(complex, complex);
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friend int operator !=(complex, complex);
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complex operator +=(complex);
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complex operator -=(complex);
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complex operator *=(complex);
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complex operator *=(extended);
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complex operator /=(complex);
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complex operator /=(extended);
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#endif
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};
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#ifndef __cplusplus
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typedef struct complex complex;
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#else
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extern "C" {
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#endif
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complex cadd( complex x, complex y );
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complex csub( complex x, complex y );
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complex cmul( complex x, complex y );
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complex cdiv( complex x, complex y );
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complex xdivc( extended x, complex y );
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complex csqrt( complex z );
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complex csin( complex z );
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complex ccos( complex z );
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complex csquare( complex z );
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complex cexp( complex z );
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complex clog( complex z );
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complex cepwry( extended x, complex y );
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complex cxpwri( complex x, long y );
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complex cxpwre( complex x, extended y );
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complex cxpwry( complex x, complex y );
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complex csinh( complex z );
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complex ccosh( complex z );
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complex ctanh( complex z );
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complex ctan( complex z );
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complex casin( complex z );
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complex casinh( complex z );
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complex cacos( complex z );
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complex cacosh( complex z );
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complex catan( complex z );
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complex catanh( complex z );
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complex cconj( complex z );
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extended cabs( complex z );
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extended carg( complex z );
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#ifdef __cplusplus
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} // close the extern "C" declaration
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inline extended real(const complex a) { return a.re; }
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inline extended imag(const complex a) { return a.im; }
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inline extended abs(complex a) { return cabs(a); }
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inline extended norm(complex a) { return a.re*a.re+a.im*a.im; }
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inline extended arg(complex a) { return carg(a); }
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inline complex acos(complex a) { return cacos(a); }
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inline complex acosh(complex a) { return cacosh(a); }
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inline complex asin(complex a) { return casin(a); }
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inline complex asinh(complex a) { return casinh(a); }
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inline complex atan(complex a) { return catan(a); }
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inline complex atanh(complex a) { return catanh(a); }
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inline complex conj(complex a) { return complex(a.re, -a.im); }
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inline complex cos(complex a) { return ccos(a); }
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inline complex cosh(complex a) { return ccosh(a); }
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inline complex exp(complex a) { return cexp(a); }
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inline complex log(complex a) { return clog(a); }
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inline complex pow(complex a, complex b) { return cxpwry(a, b); }
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inline complex pow(complex a, long b) { return cxpwri(a, b); }
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inline complex pow(complex a, extended b) { return cxpwre(a, b); }
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inline complex pow(extended a, complex b) { return cepwry(a, b); }
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inline complex polar(extended r, extended theta) { return complex(r*cos(theta), r*sin(theta) ); }
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inline complex sin(complex a) { return csin(a); }
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inline complex sinh(complex a) { return csinh(a); }
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inline complex sqrt(complex a) { return csqrt(a); }
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inline complex sqr(complex a) { return csquare(a); }
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inline complex tan(complex a) { return ctan(a); }
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inline complex tanh(complex a) { return ctanh(a); }
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inline complex operator +(complex a, complex b) { return complex(a.re+b.re, a.im+b.im); }
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inline complex operator -(complex a,complex b) { return complex(a.re-b.re, a.im-b.im); }
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inline complex operator -(complex a) { return complex(-a.re, -a.im); }
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inline complex operator *(complex a, complex b) { return cmul(a, b); }
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inline complex operator *(complex a, extended b) { return complex(a.re*b, a.im*b); }
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inline complex operator *(extended a, complex b) { return complex(a*b.re, a*b.im); }
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inline complex operator /(complex a, complex b) { return cdiv(a, b); }
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inline complex operator /(complex a, extended b) { return complex(a.re/b, a.im/b); }
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inline complex operator /(extended a, complex b) { return xdivc(a, b); }
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inline int operator ==(complex a, complex b) { return (a.re==b.re && a.im==b.im); }
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inline int operator !=(complex a, complex b) { return (a.re!=b.re || a.im!=b.im); }
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inline complex complex::operator +=(complex a)
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{
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re += a.re;
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im += a.im;
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return complex(re, im);
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}
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inline complex complex::operator -=(complex a)
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{
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re -= a.re;
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im -= a.im;
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return complex(re, im);
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}
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inline complex complex::operator *=(complex a)
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{
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return *this = cmul(*this, a);
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}
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inline complex complex::operator *=(extended a)
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{
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re *= a;
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im *= a;
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return complex(re, im);
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}
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inline complex complex::operator /=(complex a)
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{
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return *this = cdiv(*this, a);
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}
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inline complex complex::operator /=(extended a)
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{
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re /= a;
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im /= a;
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return complex(re, im);
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}
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#endif
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#endif
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