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#include "edge-selectors.h"
#include "arithmetics.hpp"
namespace msdfgen {
#define DISTANCE_DELTA_FACTOR 1.001
TrueDistanceSelector::EdgeCache::EdgeCache() : absDistance(0) { }
void TrueDistanceSelector::reset(const Point2 &p) {
double delta = DISTANCE_DELTA_FACTOR*(p-this->p).length();
minDistance.distance += nonZeroSign(minDistance.distance)*delta;
this->p = p;
}
void TrueDistanceSelector::addEdge(EdgeCache &cache, const EdgeSegment *prevEdge, const EdgeSegment *edge, const EdgeSegment *nextEdge) {
double delta = DISTANCE_DELTA_FACTOR*(p-cache.point).length();
if (cache.absDistance-delta <= fabs(minDistance.distance)) {
double dummy;
SignedDistance distance = edge->signedDistance(p, dummy);
if (distance < minDistance)
minDistance = distance;
cache.point = p;
cache.absDistance = fabs(distance.distance);
}
}
void TrueDistanceSelector::merge(const TrueDistanceSelector &other) {
if (other.minDistance < minDistance)
minDistance = other.minDistance;
}
TrueDistanceSelector::DistanceType TrueDistanceSelector::distance() const {
return minDistance.distance;
}
PseudoDistanceSelectorBase::EdgeCache::EdgeCache() : absDistance(0), aDomainDistance(0), bDomainDistance(0), aPseudoDistance(0), bPseudoDistance(0) { }
bool PseudoDistanceSelectorBase::getPseudoDistance(double &distance, const Vector2 &ep, const Vector2 &edgeDir) {
double ts = dotProduct(ep, edgeDir);
if (ts > 0) {
double pseudoDistance = crossProduct(ep, edgeDir);
if (fabs(pseudoDistance) < fabs(distance)) {
distance = pseudoDistance;
return true;
}
}
return false;
}
PseudoDistanceSelectorBase::PseudoDistanceSelectorBase() : minNegativePseudoDistance(-fabs(minTrueDistance.distance)), minPositivePseudoDistance(fabs(minTrueDistance.distance)), nearEdge(NULL), nearEdgeParam(0) { }
void PseudoDistanceSelectorBase::reset(double delta) {
minTrueDistance.distance += nonZeroSign(minTrueDistance.distance)*delta;
minNegativePseudoDistance = -fabs(minTrueDistance.distance);
minPositivePseudoDistance = fabs(minTrueDistance.distance);
nearEdge = NULL;
nearEdgeParam = 0;
}
bool PseudoDistanceSelectorBase::isEdgeRelevant(const EdgeCache &cache, const EdgeSegment *edge, const Point2 &p) const {
double delta = DISTANCE_DELTA_FACTOR*(p-cache.point).length();
return (
cache.absDistance-delta <= fabs(minTrueDistance.distance) ||
fabs(cache.aDomainDistance) < delta ||
fabs(cache.bDomainDistance) < delta ||
(cache.aDomainDistance > 0 && (cache.aPseudoDistance < 0 ?
cache.aPseudoDistance+delta >= minNegativePseudoDistance :
cache.aPseudoDistance-delta <= minPositivePseudoDistance
)) ||
(cache.bDomainDistance > 0 && (cache.bPseudoDistance < 0 ?
cache.bPseudoDistance+delta >= minNegativePseudoDistance :
cache.bPseudoDistance-delta <= minPositivePseudoDistance
))
);
}
void PseudoDistanceSelectorBase::addEdgeTrueDistance(const EdgeSegment *edge, const SignedDistance &distance, double param) {
if (distance < minTrueDistance) {
minTrueDistance = distance;
nearEdge = edge;
nearEdgeParam = param;
}
}
void PseudoDistanceSelectorBase::addEdgePseudoDistance(double distance) {
if (distance <= 0 && distance > minNegativePseudoDistance)
minNegativePseudoDistance = distance;
if (distance >= 0 && distance < minPositivePseudoDistance)
minPositivePseudoDistance = distance;
}
void PseudoDistanceSelectorBase::merge(const PseudoDistanceSelectorBase &other) {
if (other.minTrueDistance < minTrueDistance) {
minTrueDistance = other.minTrueDistance;
nearEdge = other.nearEdge;
nearEdgeParam = other.nearEdgeParam;
}
if (other.minNegativePseudoDistance > minNegativePseudoDistance)
minNegativePseudoDistance = other.minNegativePseudoDistance;
if (other.minPositivePseudoDistance < minPositivePseudoDistance)
minPositivePseudoDistance = other.minPositivePseudoDistance;
}
double PseudoDistanceSelectorBase::computeDistance(const Point2 &p) const {
double minDistance = minTrueDistance.distance < 0 ? minNegativePseudoDistance : minPositivePseudoDistance;
if (nearEdge) {
SignedDistance distance = minTrueDistance;
nearEdge->distanceToPseudoDistance(distance, p, nearEdgeParam);
if (fabs(distance.distance) < fabs(minDistance))
minDistance = distance.distance;
}
return minDistance;
}
SignedDistance PseudoDistanceSelectorBase::trueDistance() const {
return minTrueDistance;
}
void PseudoDistanceSelector::reset(const Point2 &p) {
double delta = DISTANCE_DELTA_FACTOR*(p-this->p).length();
PseudoDistanceSelectorBase::reset(delta);
this->p = p;
}
void PseudoDistanceSelector::addEdge(EdgeCache &cache, const EdgeSegment *prevEdge, const EdgeSegment *edge, const EdgeSegment *nextEdge) {
if (isEdgeRelevant(cache, edge, p)) {
double param;
SignedDistance distance = edge->signedDistance(p, param);
addEdgeTrueDistance(edge, distance, param);
cache.point = p;
cache.absDistance = fabs(distance.distance);
Vector2 ap = p-edge->point(0);
Vector2 bp = p-edge->point(1);
Vector2 aDir = edge->direction(0).normalize(true);
Vector2 bDir = edge->direction(1).normalize(true);
Vector2 prevDir = prevEdge->direction(1).normalize(true);
Vector2 nextDir = nextEdge->direction(0).normalize(true);
double add = dotProduct(ap, (prevDir+aDir).normalize(true));
double bdd = -dotProduct(bp, (bDir+nextDir).normalize(true));
if (add > 0) {
double pd = distance.distance;
if (getPseudoDistance(pd, ap, -aDir))
addEdgePseudoDistance(pd = -pd);
cache.aPseudoDistance = pd;
}
if (bdd > 0) {
double pd = distance.distance;
if (getPseudoDistance(pd, bp, bDir))
addEdgePseudoDistance(pd);
cache.bPseudoDistance = pd;
}
cache.aDomainDistance = add;
cache.bDomainDistance = bdd;
}
}
PseudoDistanceSelector::DistanceType PseudoDistanceSelector::distance() const {
return computeDistance(p);
}
void MultiDistanceSelector::reset(const Point2 &p) {
double delta = DISTANCE_DELTA_FACTOR*(p-this->p).length();
r.reset(delta);
g.reset(delta);
b.reset(delta);
this->p = p;
}
void MultiDistanceSelector::addEdge(EdgeCache &cache, const EdgeSegment *prevEdge, const EdgeSegment *edge, const EdgeSegment *nextEdge) {
if (
(edge->color&RED && r.isEdgeRelevant(cache, edge, p)) ||
(edge->color&GREEN && g.isEdgeRelevant(cache, edge, p)) ||
(edge->color&BLUE && b.isEdgeRelevant(cache, edge, p))
) {
double param;
SignedDistance distance = edge->signedDistance(p, param);
if (edge->color&RED)
r.addEdgeTrueDistance(edge, distance, param);
if (edge->color&GREEN)
g.addEdgeTrueDistance(edge, distance, param);
if (edge->color&BLUE)
b.addEdgeTrueDistance(edge, distance, param);
cache.point = p;
cache.absDistance = fabs(distance.distance);
Vector2 ap = p-edge->point(0);
Vector2 bp = p-edge->point(1);
Vector2 aDir = edge->direction(0).normalize(true);
Vector2 bDir = edge->direction(1).normalize(true);
Vector2 prevDir = prevEdge->direction(1).normalize(true);
Vector2 nextDir = nextEdge->direction(0).normalize(true);
double add = dotProduct(ap, (prevDir+aDir).normalize(true));
double bdd = -dotProduct(bp, (bDir+nextDir).normalize(true));
if (add > 0) {
double pd = distance.distance;
if (PseudoDistanceSelectorBase::getPseudoDistance(pd, ap, -aDir)) {
pd = -pd;
if (edge->color&RED)
r.addEdgePseudoDistance(pd);
if (edge->color&GREEN)
g.addEdgePseudoDistance(pd);
if (edge->color&BLUE)
b.addEdgePseudoDistance(pd);
}
cache.aPseudoDistance = pd;
}
if (bdd > 0) {
double pd = distance.distance;
if (PseudoDistanceSelectorBase::getPseudoDistance(pd, bp, bDir)) {
if (edge->color&RED)
r.addEdgePseudoDistance(pd);
if (edge->color&GREEN)
g.addEdgePseudoDistance(pd);
if (edge->color&BLUE)
b.addEdgePseudoDistance(pd);
}
cache.bPseudoDistance = pd;
}
cache.aDomainDistance = add;
cache.bDomainDistance = bdd;
}
}
void MultiDistanceSelector::merge(const MultiDistanceSelector &other) {
r.merge(other.r);
g.merge(other.g);
b.merge(other.b);
}
MultiDistanceSelector::DistanceType MultiDistanceSelector::distance() const {
MultiDistance multiDistance;
multiDistance.r = r.computeDistance(p);
multiDistance.g = g.computeDistance(p);
multiDistance.b = b.computeDistance(p);
return multiDistance;
}
SignedDistance MultiDistanceSelector::trueDistance() const {
SignedDistance distance = r.trueDistance();
if (g.trueDistance() < distance)
distance = g.trueDistance();
if (b.trueDistance() < distance)
distance = b.trueDistance();
return distance;
}
MultiAndTrueDistanceSelector::DistanceType MultiAndTrueDistanceSelector::distance() const {
MultiDistance multiDistance = MultiDistanceSelector::distance();
MultiAndTrueDistance mtd;
mtd.r = multiDistance.r;
mtd.g = multiDistance.g;
mtd.b = multiDistance.b;
mtd.a = trueDistance().distance;
return mtd;
}
}
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