#include <tools/modifiers/modifierjitter.h>
//*****************************************************************************************
// static functions
//*****************************************************************************************
namespace {
class Jitter {
public:
static inline double randomNext(unsigned int &seed) {
static const unsigned int max = 32767;
static const double k = 1.0/max;
seed = ((1103515245*seed + 12345) >> 16) & max;
return seed*k;
}
static TPointD getPoint(unsigned int seed, int i, double *prevX = nullptr) {
unsigned int pseed = seed^i;
double dx = randomNext(pseed);
double dy = randomNext(pseed)*2 - 1;
if (dx < 0.5) {
double px = prevX ? *prevX : getPoint(seed, i-1).x;
px += 0.5 - i;
if (dx < px)
dx = randomNext(pseed)*(1 - px) + px;
}
return TPointD(dx + i, dy);
}
static inline double spline(double x, TPointD *points) {
double x0 = points[1].x;
double y0 = points[1].y;
double x1 = points[2].x;
double y1 = points[2].y;
double t0 = (y1 - points[0].y)/(x1 - points[0].x)*(x1 - x0);
double t1 = (points[3].y - y0)/(points[3].x - x0)*(x1 - x0);
double l = (x - x0)/(x1 - x0);
double ll = l*l;
double lll = ll*l;
return y0*( 2*lll - 3*ll + 1)
+ y1*(-2*lll + 3*ll )
+ t0*( lll - 2*ll + l)
+ t1*( lll - ll );
}
static inline double func(unsigned int seed, double x) {
int i = (int)floor(x);
TPointD points[5];
points[0] = getPoint(seed, i-2);
for(int j = 1; j < 5; ++j)
points[j] = getPoint(seed, i-2+j, &points[j-1].x);
return spline(x, &points[ x < points[2].x ? 0 : 1 ]);
}
};
static inline unsigned int trackSeedX(const TTrack &track) {
unsigned int seed = track.id;
Jitter::randomNext(seed);
return seed;
}
static inline unsigned int trackSeedY(const TTrack &track) {
unsigned int seed = track.id^32143;
Jitter::randomNext(seed);
return seed;
}
} // namespace
//*****************************************************************************************
// TModifierJitter::Interpolator implementation
//*****************************************************************************************
TModifierJitter::Interpolator::Interpolator(
TTrack &track,
double period,
double amplitude,
bool keepFirstPoint,
bool keepLastPoint
):
TTrackInterpolator(track),
seedX(trackSeedX(track)),
seedY(trackSeedY(track)),
frequency(fabs(period) > TConsts::epsilon ? 1/period : 0),
amplitude(fabs(period) > TConsts::epsilon ? amplitude : 0),
keepFirstPoint(keepFirstPoint),
keepLastPoint(keepLastPoint)
{ }
TTrackPoint TModifierJitter::Interpolator::interpolateFromOriginal(double originalIndex) {
TTrackPoint p = track.calcPointFromOriginal(originalIndex);
double a = amplitude;
double l = p.length*frequency;
if (frequency && a && track.original && (keepFirstPoint || keepLastPoint)) {
double ll = track.original->back().length*frequency;
if (l < 0) l = 0;
if (l > ll) l = ll;
if (ll < TConsts::epsilon) {
a = 0;
} else
if (keepFirstPoint && keepLastPoint && ll < 2) {
a *= 0.5 - 0.5*cos(l/ll*M_2PI);
} else
if (keepFirstPoint && l < 1) {
a *= 0.5 - 0.5*cos(l*M_PI);
} else
if (keepLastPoint && (ll - l) < 1) {
a *= 0.5 - 0.5*cos((ll - l)*M_PI);
}
}
p.position.x += Jitter::func(seedX, l)*a;
p.position.y += Jitter::func(seedY, l)*a;
return p;
}
TTrackPoint TModifierJitter::Interpolator::interpolate(double index)
{ return interpolateFromOriginal(track.originalIndexByIndex(index)); }
//*****************************************************************************************
// TModifierJitter implementation
//*****************************************************************************************
TModifierJitter::TModifierJitter(
double period,
double amplitude,
int skipFirst,
int skipLast,
bool keepFirstPoint,
bool keepLastPoint
):
period(period),
amplitude(amplitude),
skipFirst(skipFirst),
skipLast(skipLast),
keepFirstPoint(keepFirstPoint),
keepLastPoint(keepLastPoint)
{ }
void TModifierJitter::modifyTrack(const TTrack &track,
TTrackList &outTracks)
{
if (!track.handler && fabs(period) > TConsts::epsilon) {
Handler *handler = new Handler();
track.handler = handler;
handler->track = new TTrack(track);
new Interpolator(*handler->track, period, amplitude, keepFirstPoint, keepLastPoint);
}
Handler *handler = dynamic_cast<Handler*>(track.handler.getPointer());
if (!handler)
return TInputModifier::modifyTrack(track, outTracks);
outTracks.push_back(handler->track);
TTrack &subTrack = *handler->track;
if (!track.changed())
return;
Interpolator *intr = dynamic_cast<Interpolator*>(subTrack.getInterpolator().getPointer());
if (!intr)
return;
bool preview = intr->keepLastPoint && intr->frequency && intr->amplitude;
int start = track.size() - track.pointsAdded;
if (start < 0) start = 0;
if (preview) {
double l = track[start].length - 1/intr->frequency;
start = track.floorIndex( track.indexByLength(l) );
}
// process sub-track
subTrack.truncate(start);
for (int i = start; i < track.size(); ++i)
subTrack.push_back(intr->interpolateFromOriginal(i), false);
// fit points
if (track.fixedFinished() || !preview) {
subTrack.fix_to(track.fixedSize());
} else
if (track.fixedSize()) {
double l = track[track.fixedSize() - 1].length - 1/intr->frequency;
subTrack.fix_to(subTrack.floorIndex( track.indexByLength(l) ));
}
track.resetChanges();
}
void
TModifierJitter::modifyTracks(
const TTrackList &tracks,
TTrackList &outTracks )
{
int cnt = (int)tracks.size();
int i0 = skipFirst;
int i1 = cnt - skipLast;
for(int i = 0; i < cnt; ++i)
if (i0 <= i && i < i1) modifyTrack(*tracks[i], outTracks);
else TInputModifier::modifyTrack(*tracks[i], outTracks);
}
double TModifierJitter::func(unsigned int seed, double x)
{ return Jitter::func(seed, x); }