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Signed-off-by: Tim Blechmann <[email protected]> git-svn-id: https://sc3-plugins.svn.sourceforge.net/svnroot/sc3-plugins@455 a81c72af-a122-0410-9629-e4559562533e
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Dec 3, 2010
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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 | ||
*/ | ||
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#include "SCComplex.h" | ||
#include "SC_Types.h" | ||
#include "SC_Constants.h" | ||
#include "SC_InterfaceTable.h" | ||
#include <math.h> | ||
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//////////////////////////////////////////////////////////////////////////////// | ||
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const int32 kPolarLUTSize = 2049; | ||
const int32 kPolarLUTSize2 = kPolarLUTSize >> 1; | ||
float gMagLUT[kPolarLUTSize]; | ||
float gPhaseLUT[kPolarLUTSize]; | ||
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static float gSinePhaseScale; | ||
static int gSineSize; | ||
static float *gSine; | ||
static int gSineMask; | ||
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void init_SCComplex(InterfaceTable *ft); | ||
void init_SCComplex(InterfaceTable *ft) | ||
{ | ||
gSineSize = ft->mSineSize; | ||
gSine = ft->mSine; | ||
gSinePhaseScale = gSineSize / twopi_f; | ||
gSineMask = gSineSize - 1; | ||
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double rPolarLUTSize2 = 1. / kPolarLUTSize2; | ||
for (int i=0; i < kPolarLUTSize; ++i) { | ||
double slope = (i - kPolarLUTSize2) * rPolarLUTSize2; | ||
double angle = atan(slope); | ||
gPhaseLUT[i] = (float)angle; | ||
gMagLUT[i] = 1.f / (float)cos(angle); | ||
} | ||
} | ||
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SCPolar SCComplex::ToPolar() | ||
{ | ||
return SCPolar(hypot(imag, real), atan2(imag, real)); | ||
} | ||
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SCComplex SCPolar::ToComplex() | ||
{ | ||
return SCComplex(mag * cos(phase), mag * sin(phase)); | ||
} | ||
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/* | ||
float fhypotx(float real, float imag); | ||
float fhypotx(float real, float imag) | ||
{ | ||
int32 index; | ||
float absreal = fabs(real); | ||
float absimag = fabs(imag); | ||
float slope; | ||
if (absreal > absimag) { | ||
slope = imag/real; | ||
index = kPolarLUTSize2 + kPolarLUTSize2 * slope; | ||
return gMagLUT[index] * absreal; | ||
} else { | ||
slope = real/imag; | ||
index = kPolarLUTSize2 + kPolarLUTSize2 * slope; | ||
return gMagLUT[index] * absimag; | ||
} | ||
} | ||
*/ | ||
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SCPolar SCComplex::ToPolarApx() | ||
{ | ||
int32 index; | ||
float absreal = fabs(real); | ||
float absimag = fabs(imag); | ||
float slope; | ||
if (absreal > absimag) { | ||
slope = imag/real; | ||
index = kPolarLUTSize2 + (int32)(kPolarLUTSize2 * slope); | ||
if (real > 0) { | ||
return SCPolar(gMagLUT[index] * absreal, gPhaseLUT[index]); | ||
} else { | ||
return SCPolar(gMagLUT[index] * absreal, pi_f + gPhaseLUT[index]); | ||
} | ||
} else if(absimag==0.f) { // because of the above test, this means real is also zero | ||
return SCPolar(0.f, 0.f); | ||
} else { | ||
slope = real/imag; | ||
index = kPolarLUTSize2 + (int32)(kPolarLUTSize2 * slope); | ||
if (imag > 0) { | ||
return SCPolar(gMagLUT[index] * absimag, pi2_f - gPhaseLUT[index]); | ||
} else { | ||
return SCPolar(gMagLUT[index] * absimag, pi32_f - gPhaseLUT[index]); | ||
} | ||
} | ||
} | ||
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void SCComplex::ToPolarInPlace() | ||
{ | ||
SCPolar polar = ToPolar(); | ||
real = polar.mag; | ||
imag = polar.phase; | ||
} | ||
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void SCPolar::ToComplexInPlace() | ||
{ | ||
SCComplex complx = ToComplex(); | ||
mag = complx.real; | ||
phase = complx.imag; | ||
} | ||
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SCComplex SCPolar::ToComplexApx() | ||
{ | ||
uint32 sinindex = (int32)((double)gSinePhaseScale * phase) & gSineMask; | ||
uint32 cosindex = (sinindex + (gSineSize>>2)) & gSineMask; | ||
return SCComplex(mag * gSine[cosindex], mag * gSine[sinindex]); | ||
} | ||
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void SCComplex::ToPolarApxInPlace() | ||
{ | ||
SCPolar polar = ToPolarApx(); | ||
real = polar.mag; | ||
imag = polar.phase; | ||
} | ||
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void SCPolar::ToComplexApxInPlace() | ||
{ | ||
SCComplex complx = ToComplexApx(); | ||
mag = complx.real; | ||
phase = complx.imag; | ||
} | ||
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//////////////////////////////////////////////////////////////////////////////// | ||
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@@ -0,0 +1,128 @@ | ||
/* | ||
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 | ||
*/ | ||
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#ifndef _SCComplex_ | ||
#define _SCComplex_ | ||
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//////////////////////////////////////////////////////////////////////////////// | ||
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struct SCPolar; | ||
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struct SCComplex | ||
{ | ||
SCComplex(float r, float i) : real(r), imag(i) {} | ||
void Set(float r, float i) { real = r; imag = i; } | ||
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SCComplex& operator=(SCComplex b) { real = b.real; imag = b.imag; return *this; } | ||
SCComplex& operator=(float b) { real = b; imag = 0.; return *this; } | ||
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SCPolar ToPolar(); | ||
SCPolar ToPolarApx(); | ||
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void ToPolarInPlace(); | ||
void ToPolarApxInPlace(); | ||
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float real, imag; | ||
}; | ||
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struct SCPolar | ||
{ | ||
SCPolar(float m, float p) : mag(m), phase(p) {} | ||
void Set(float m, float p) { mag = m; phase = p; } | ||
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SCPolar& operator=(SCPolar b) { mag = b.mag; phase = b.phase; return *this; } | ||
SCPolar& operator=(float b) { mag = b; phase = 0.; return *this; } | ||
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SCComplex ToComplex(); | ||
SCComplex ToComplexApx(); | ||
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void ToComplexInPlace(); | ||
void ToComplexApxInPlace(); | ||
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float mag, phase; | ||
}; | ||
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void ToComplex(SCPolar in, SCComplex& out); | ||
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inline SCComplex operator+(SCComplex a, SCComplex b) { return SCComplex(a.real + b.real, a.imag + b.imag); } | ||
inline SCComplex operator+(SCComplex a, float b) { return SCComplex(a.real + b, a.imag); } | ||
inline SCComplex operator+(float a, SCComplex b) { return SCComplex(a + b.real, b.imag); } | ||
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inline SCComplex& operator+=(SCComplex& a, const SCComplex& b) { a.real += b.real, a.imag += b.imag; return a; } | ||
inline SCComplex& operator+=(SCComplex& a, float b) { a.real += b; return a; } | ||
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inline SCComplex operator-(SCComplex a, SCComplex b) { return SCComplex(a.real - b.real, a.imag - b.imag); } | ||
inline SCComplex operator-(SCComplex a, float b) { return SCComplex(a.real - b, a.imag); } | ||
inline SCComplex operator-(float a, SCComplex b) { return SCComplex(a - b.real, b.imag); } | ||
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inline SCComplex operator-=(SCComplex a, SCComplex b) { a.real -= b.real, a.imag -= b.imag; return a; } | ||
inline SCComplex operator-=(SCComplex a, float b) { a.real -= b; return a; } | ||
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inline SCComplex operator*(SCComplex a, SCComplex b) | ||
{ | ||
return SCComplex(a.real * b.real - a.imag * b.imag, a.real * b.imag + a.imag * b.real); | ||
} | ||
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inline SCComplex operator*(SCComplex a, float b) | ||
{ | ||
return SCComplex(a.real * b, a.imag * b); | ||
} | ||
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inline SCComplex operator*(float a, SCComplex b) | ||
{ | ||
return SCComplex(b.real * a, b.imag * a); | ||
} | ||
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inline SCComplex operator*=(SCComplex a, SCComplex b) | ||
{ | ||
a.Set( | ||
a.real * b.real - a.imag * b.imag, | ||
a.real * b.imag + a.imag * b.real | ||
); | ||
return a; | ||
} | ||
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inline SCComplex operator*=(SCComplex a, float b) | ||
{ | ||
a.real *= b; | ||
a.imag *= b; | ||
return a; | ||
} | ||
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inline SCPolar operator*(SCPolar a, float b) | ||
{ | ||
return SCPolar(a.mag * b, a.phase); | ||
} | ||
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inline SCPolar operator*(float a, SCPolar b) | ||
{ | ||
return SCPolar(a * b.mag, b.phase); | ||
} | ||
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inline SCPolar operator*=(SCPolar a, float b) | ||
{ | ||
a.mag *= b; | ||
return a; | ||
} | ||
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#endif |
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