void RArcEntity::setShape(const RArc& a) {
data.setCenter(a.getCenter());
data.setRadius(a.getRadius());
data.setStartAngle(a.getStartAngle());
data.setEndAngle(a.getEndAngle());
data.setReversed(a.isReversed());
}
/**
* \return List of splines which approximate the given arc.
*/
QList<RSpline> RSpline::createSplinesFromArc(const RArc& arc) {
RArc a = arc;
if (a.isReversed()) {
a.reverse();
}
double startAngle = RMath::getNormalizedAngle(a.getStartAngle());
double endAngle = RMath::getNormalizedAngle(a.getEndAngle());
if (a.isFullCircle()) {
startAngle = 0.0;
endAngle = 2*M_PI;
}
// normalize startAngle, endAngle to [-2PI, 2PI]
double twoPI = M_PI * 2;
//double startAngle = RMath::getNormalizedAngle(a.getStartAngle());
//double endAngle = RMath::getNormalizedAngle(a.getEndAngle());
if (startAngle>endAngle) {
startAngle-=2*M_PI;
}
double radius = a.getRadius();
double EPSILON = 0.00001;
// Compute the sequence of arc curves, up to PI/2 at a time. Total arc angle
// is less than 2PI.
QList<RSpline> curves;
double piOverTwo = M_PI_2;
double segmentationAngle = piOverTwo/4;
//double segmentationAngle = M_PI/8;
double sgn = (startAngle < endAngle) ? +1 : -1;
double a1 = startAngle;
for (double totalAngle = qMin(twoPI, qAbs(endAngle - startAngle)); totalAngle > EPSILON; ) {
double a2 = a1 + sgn * qMin(totalAngle, segmentationAngle);
RSpline sp = RSpline::createBezierFromSmallArc(radius, a1, a2);
sp.move(a.getCenter());
curves.append(sp);
totalAngle -= qAbs(a2 - a1);
a1 = a2;
}
return curves;
}
void RExporter::exportArcSegment(const RArc& arc) {
double segmentLength;
if (pixelSizeHint>0.0) {
// approximate arc with segments with the length of 2 pixels:
segmentLength = pixelSizeHint * 2;
}
else {
segmentLength = arc.getRadius() / 40.0;
}
// avoid a segment length of 0:
if (segmentLength<1.0e-4) {
segmentLength = 1.0e-4;
}
double a1 = arc.getStartAngle();
double a2 = arc.getEndAngle();
RVector center = arc.getCenter();
double radius = arc.getRadius();
// avoid huge radius and slow down to almost stand-still:
if (radius>1.0e6) {
return;
}
double aStep;
if (radius<1.0e-3) {
aStep = 0.1;
}
else {
aStep = segmentLength / radius;
if (aStep>1.0) {
aStep = 1.0;
}
double minAStep = 2*M_PI/360.0;
if (!draftMode) {
minAStep /= 4;
}
if (aStep<minAStep) {
aStep = minAStep;
}
}
RVector prev = arc.getStartPoint();
RVector ci;
double a;
if(!arc.isReversed()) {
// Arc Counterclockwise:
if(a1>a2-RS::AngleTolerance) {
a2+=2*M_PI;
}
for(a=a1+aStep; a<=a2; a+=aStep) {
ci.x = center.x + cos(a) * radius;
ci.y = center.y + sin(a) * radius;
//path.lineTo(RVector(ci.x, ci.y));
this->exportLineSegment(RLine(prev, ci));
prev = ci;
}
} else {
// Arc Clockwise:
if(a1<a2+RS::AngleTolerance) {
a2-=2*M_PI;
}
for(a=a1-aStep; a>=a2; a-=aStep) {
ci.x = center.x + cos(a) * radius;
ci.y = center.y + sin(a) * radius;
this->exportLineSegment(RLine(prev, ci));
//path.lineTo(RVector(cix, ciy));
prev = ci;
}
}
this->exportLineSegment(RLine(prev, arc.getEndPoint()));
//path.lineTo(arc.getEndPoint());
}
void RExporter::exportArc(const RArc& arc, double offset) {
if (!arc.isValid()) {
return;
}
RLinetypePattern p = getLinetypePattern();
if (getEntity() == NULL || !p.isValid() || p.getNumDashes() == 1 || draftMode || screenBasedLinetypes) {
exportArcSegment(arc);
return;
}
RArc normalArc = arc;
if (arc.isReversed()) {
normalArc.reverse();
}
if (normalArc.radius < 1.0e-12) {
return;
}
p.scale(getPatternFactor());
double length = normalArc.getLength();
double patternLength = p.getPatternLength();
// avoid huge number of small segments due to very fine
// pattern or long lines:
if (patternLength<RS::PointTolerance || length / patternLength > 5000) {
exportArcSegment(arc);
return;
}
double* vp = NULL;
vp = new double[p.getNumDashes()];
for (int i = 0; i < p.getNumDashes(); ++i) {
vp[i] = fabs(p.getDashLengthAt(i)) / normalArc.radius;
}
if (RMath::isNaN(offset)) {
offset = getPatternOffset(length, p);
}
QList<RArc> arcSegments;
bool done = false;
int i = 0;
double cursor = normalArc.getStartAngle() + offset / normalArc.radius;
double total = offset;
bool dashFound = false;
bool gapFound = false;
double a1 = normalArc.getStartAngle();
double a2;
do {
if (dashFound && !gapFound) {
if (total + fabs(p.getDashLengthAt(i)) >= length - 1.0e-6) {
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, normalArc.getEndAngle()));
break;
}
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, a2));
}
if (p.getDashLengthAt(i) > 0) {
// dash, no gap
if (total + p.getDashLengthAt(i) > 0) {
a1 = cursor;
if (total < 0 || !dashFound) {
a1 = normalArc.startAngle;
}
a2 = cursor + vp[i];
if (fabs(a2 - normalArc.getStartAngle()) > 1.0e-6) {
dashFound = true;
}
}
gapFound = false;
} else {
gapFound = true;
}
cursor += vp[i];
total += fabs(p.getDashLengthAt(i));
done = total > length;
++i;
if (i >= p.getNumDashes()) {
i = 0;
}
} while (!done);
if (!gapFound || !dashFound) {
if (total + fabs(p.getDashLengthAt(i)) >= length - 1.0e-6) {
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, normalArc.getEndAngle()));
} else {
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, a2));
}
}
if (arc.isReversed()) {
for (int i=arcSegments.length()-1; i>=0; i--) {
arcSegments[i].reverse();
exportArcSegment(arcSegments[i]);
}
}
else {
for (int i=0; i<arcSegments.length(); i++) {
exportArcSegment(arcSegments[i]);
}
}
delete[] vp;
}
void RExporter::exportArc(const RArc& arc, double offset) {
if (!arc.isValid()) {
return;
}
if (getEntity() == NULL || draftMode || screenBasedLinetypes || twoColorSelectedMode) {
exportArcSegment(arc);
return;
}
RLinetypePattern p = getLinetypePattern();
if (!p.isValid() || p.getNumDashes() <= 1) {
exportArcSegment(arc);
return;
}
p.scale(getLineTypePatternScale(p));
double patternLength = p.getPatternLength();
if (patternLength<RS::PointTolerance || arc.getLength() / patternLength > RSettings::getDashThreshold()) {
exportArcSegment(arc);
return;
}
RArc normalArc = arc;
if (arc.isReversed()) {
normalArc.reverse();
}
if (normalArc.radius < 1.0e-12) {
return;
}
RArcExporter(*this, arc, offset);
/*
p.scale(getLineTypePatternScale(p));
double length = normalArc.getLength();
double patternLength = p.getPatternLength();
// avoid huge number of small segments due to very fine
// pattern or long lines:
if (patternLength<RS::PointTolerance || length / patternLength > 5000) {
exportArcSegment(arc);
return;
}
double* vp = NULL;
vp = new double[p.getNumDashes()];
for (int i = 0; i < p.getNumDashes(); ++i) {
vp[i] = fabs(p.getDashLengthAt(i)) / normalArc.radius;
}
//bool optimizeEnds = false;
if (RMath::isNaN(offset)) {
offset = p.getPatternOffset(length);
//optimizeEnds = true;
}
QList<RArc> arcSegments;
bool done = false;
int i = 0;
double cursor = normalArc.getStartAngle() + offset / normalArc.radius;
double total = offset;
bool dashFound = false;
bool gapFound = false;
double a1 = normalArc.getStartAngle();
double a2 = 0.0;
do {
if (dashFound && !gapFound) {
if (total + fabs(p.getDashLengthAt(i)) >= length - 1.0e-6) {
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, normalArc.getEndAngle()));
break;
}
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, a2));
}
if (p.getDashLengthAt(i) >= 0.0) {
// dash, no gap
if (total + p.getDashLengthAt(i) >= 0.0) {
a1 = cursor;
if (total < 0.0 || !dashFound) {
a1 = normalArc.startAngle;
}
a2 = cursor + vp[i];
if (fabs(a2 - normalArc.getStartAngle()) > 1.0e-6) {
dashFound = true;
}
}
gapFound = false;
} else {
gapFound = true;
}
cursor += vp[i];
total += fabs(p.getDashLengthAt(i));
done = total > length;
if (!done && total>0.0) {
// handle shape at end of dash / gap:
if (p.hasShapeAt(i)) {
QList<RPainterPath> pps = p.getShapeAt(i);
// RVector min = RPainterPath::getMinList(pps);
// RVector max = RPainterPath::getMaxList(pps);
RPainterPath::rotateList(pps, cursor+M_PI/2);
RPainterPath::translateList(pps, normalArc.getPointAtAngle(cursor));
exportPainterPaths(pps);
}
}
++i;
if (i >= p.getNumDashes()) {
i = 0;
}
} while (!done);
if (!gapFound || !dashFound) {
if (total + fabs(p.getDashLengthAt(i)) >= length - 1.0e-6) {
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, normalArc.getEndAngle()));
} else {
arcSegments.append(RArc(normalArc.getCenter(), normalArc.getRadius(), a1, a2));
}
}
if (arc.isReversed()) {
for (int i=arcSegments.length()-1; i>=0; i--) {
arcSegments[i].reverse();
exportArcSegment(arcSegments[i], true);
}
}
else {
for (int i=0; i<arcSegments.length(); i++) {
exportArcSegment(arcSegments[i], true);
}
}
delete[] vp;
*/
}
void RExporter::exportArcSegment(const RArc& arc, bool allowForZeroLength) {
if (allowForZeroLength && arc.isFullCircle()) {
exportLineSegment(RLine(arc.getStartPoint(), arc.getEndPoint()), arc.getDirection1());
return;
}
double segmentLength;
if (pixelSizeHint>0.0) {
// approximate arc with segments with the length of 2 pixels:
segmentLength = pixelSizeHint * 2;
}
else {
segmentLength = arc.getRadius() / 40.0;
}
// avoid a segment length of 0:
if (segmentLength<1.0e-4) {
segmentLength = 1.0e-4;
}
double a1 = arc.getStartAngle();
double a2 = arc.getEndAngle();
RVector center = arc.getCenter();
double radius = arc.getRadius();
double aStep;
if (radius<1.0e-3) {
aStep = 0.1;
}
else {
aStep = segmentLength / radius;
if (aStep>1.0) {
aStep = 1.0;
}
double minAStep = RSettings::getMinArcAngleStep();
if (draftMode) {
minAStep *= 4;
}
if (aStep<minAStep) {
aStep = minAStep;
}
}
RVector prev = arc.getStartPoint();
RVector ci;
double a;
if (!arc.isReversed()) {
// Arc Counterclockwise:
if(a1>a2-RS::AngleTolerance) {
a2+=2*M_PI;
}
for (a=a1+aStep; a<=a2; a+=aStep) {
ci.x = center.x + cos(a) * radius;
ci.y = center.y + sin(a) * radius;
exportLineSegment(RLine(prev, ci), a+M_PI_2);
prev = ci;
}
} else {
// Arc Clockwise:
if (a1<a2+RS::AngleTolerance) {
a2-=2*M_PI;
}
for (a=a1-aStep; a>=a2; a-=aStep) {
ci.x = center.x + cos(a) * radius;
ci.y = center.y + sin(a) * radius;
exportLineSegment(RLine(prev, ci), a+M_PI_2);
prev = ci;
}
}
this->exportLineSegment(RLine(prev, arc.getEndPoint()), arc.getEndAngle()+M_PI_2);
}
