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/*
SuperCollider real time audio synthesis system
Copyright (c) 2002 James McCartney. All rights reserved.
http://www.audiosynth.com
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#ifndef _SC_Complex_
#define _SC_Complex_
#include "SC_Types.h"
#include "float.h"
////////////////////////////////////////////////////////////////////////////////
struct Polar;
struct Complex
{
Complex() {}
Complex(float r, float i) : real(r), imag(i) {}
void Set(float r, float i) { real = r; imag = i; }
Complex& operator=(Complex b) { real = b.real; imag = b.imag; return *this; }
Complex& operator=(float b) { real = b; imag = 0.; return *this; }
Polar ToPolar();
Polar ToPolarApx();
void ToPolarInPlace();
void ToPolarApxInPlace();
float real, imag;
};
struct Polar
{
Polar() {}
Polar(float m, float p) : mag(m), phase(p) {}
void Set(float m, float p) { mag = m; phase = p; }
Complex ToComplex();
Complex ToComplexApx();
void ToComplexInPlace();
void ToComplexApxInPlace();
float mag, phase;
};
struct ComplexFT
{
float dc, nyq;
Complex complex[1];
};
struct PolarFT
{
float dc, nyq;
Polar polar[1];
};
void ToComplex(Polar in, Complex& out);
inline Complex operator+(Complex a, Complex b) { return Complex(a.real + b.real, a.imag + b.imag); }
inline Complex operator+(Complex a, float b) { return Complex(a.real + b, a.imag); }
inline Complex operator+(float a, Complex b) { return Complex(a + b.real, b.imag); }
inline Complex& operator+=(Complex& a, const Complex& b) { a.real += b.real, a.imag += b.imag; return a; }
inline Complex& operator+=(Complex& a, float b) { a.real += b; return a; }
inline Complex operator-(Complex a, Complex b) { return Complex(a.real - b.real, a.imag - b.imag); }
inline Complex operator-(Complex a, float b) { return Complex(a.real - b, a.imag); }
inline Complex operator-(float a, Complex b) { return Complex(a - b.real, b.imag); }
inline Complex operator-=(Complex a, Complex b) { a.real -= b.real, a.imag -= b.imag; return a; }
inline Complex operator-=(Complex a, float b) { a.real -= b; return a; }
inline Complex operator*(Complex a, Complex b)
{
return Complex(a.real * b.real - a.imag * b.imag, a.real * b.imag + a.imag * b.real);
}
inline Complex operator*(Complex a, float b)
{
return Complex(a.real * b, a.imag * b);
}
inline Complex operator*(float a, Complex b)
{
return Complex(b.real * a, b.imag * a);
}
inline Complex operator*=(Complex a, Complex b)
{
a.Set(
a.real * b.real - a.imag * b.imag,
a.real * b.imag + a.imag * b.real
);
return a;
}
inline Complex operator*=(Complex a, float b)
{
a.real *= b;
a.imag *= b;
return a;
}
inline Polar operator*(Polar a, float b)
{
return Polar(a.mag * b, a.phase);
}
inline Polar operator*(float a, Polar b)
{
return Polar(a * b.mag, b.phase);
}
inline Polar operator*=(Polar a, float b)
{
a.mag *= b;
return a;
}
#endif
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