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authormzuenni <michi.zuendorf@gmail.com>2022-06-27 17:19:28 +0200
committermzuenni <michi.zuendorf@gmail.com>2022-06-27 17:19:28 +0200
commit5ab8a5088b729a9953b8dff1b2a985dc8fb2098b (patch)
treeed40d6936c0e9eee40ba62751cbf99ecddbaddc2 /geometry/linesAndSegments.cpp
parentadabbad9c51cf7cd3874bfde8eac1fbcf84fec10 (diff)
updated tcr
Diffstat (limited to 'geometry/linesAndSegments.cpp')
-rw-r--r--geometry/linesAndSegments.cpp90
1 files changed, 90 insertions, 0 deletions
diff --git a/geometry/linesAndSegments.cpp b/geometry/linesAndSegments.cpp
new file mode 100644
index 0000000..6c53cee
--- /dev/null
+++ b/geometry/linesAndSegments.cpp
@@ -0,0 +1,90 @@
+// Test auf Streckenschnitt zwischen a-b und c-d.
+bool lineSegmentIntersection(pt a, pt b, pt c, pt d) {
+ if (orientation(a, b, c) == 0 && orientation(a, b, d) == 0)
+ return pointOnLineSegment(a,b,c) ||
+ pointOnLineSegment(a,b,d) ||
+ pointOnLineSegment(c,d,a) ||
+ pointOnLineSegment(c,d,b);
+ return orientation(a, b, c) * orientation(a, b, d) <= 0 &&
+ orientation(c, d, a) * orientation(c, d, b) <= 0;
+}
+
+// Berechnet die Schnittpunkte der Strecken p0-p1 und p2-p3.
+// Enthält entweder keinen Punkt, den einzigen Schnittpunkt
+// oder die Endpunkte der Schnittstrecke.
+vector<pt> lineSegmentIntersection(pt p0, pt p1, pt p2, pt p3) {
+ double a = cross(p1 - p0, p3 - p2);
+ double b = cross(p2 - p0, p3 - p2);
+ double c = cross(p1 - p0, p0 - p2);
+ if (a < 0) {a = -a; b = -b; c = -c;}
+ if (b < -EPS || a-b < -EPS ||
+ c < -EPS || a-c < -EPS) return {};
+ if (a > EPS) return {p0 + b/a*(p1 - p0)};
+ vector<pt> result;
+ auto insertUnique = [&](pt p) {
+ for (auto q: result) if (abs(p - q) < EPS) return;
+ result.push_back(p);
+ };
+ if (dot(p2-p0, p3-p0) < EPS) insertUnique(p0);
+ if (dot(p2-p1, p3-p1) < EPS) insertUnique(p1);
+ if (dot(p0-p2, p1-p2) < EPS) insertUnique(p2);
+ if (dot(p0-p3, p1-p3) < EPS) insertUnique(p3);
+ return result;
+}
+
+// Entfernung von Punkt p zur Gearden durch a-b. 2d und 3d
+double distToLine(pt a, pt b, pt p) {
+ return abs(cross(p - a, b - a)) / abs(b - a);
+}
+
+// Liegt p auf der Geraden a-b? 2d und 3d
+bool pointOnLine(pt a, pt b, pt p) {
+ return orientation(a, b, p) == 0;
+}
+
+// Test auf Linienschnitt zwischen a-b und c-d.
+bool lineIntersection(pt a, pt b, pt c, pt d) {
+ return abs(cross(a - b, c - d)) < EPS;
+}
+
+// Berechnet den Schnittpunkt der Graden p0-p1 und p2-p3.
+// die Graden dürfen nicht parallel sein!
+pt lineIntersection(pt p0, pt p1, pt p2, pt p3) {
+ double a = cross(p1 - p0, p3 - p2);
+ double b = cross(p2 - p0, p3 - p2);
+ return {p0 + b/a*(p1 - p0)};
+}
+
+// Liegt p auf der Strecke a-b?
+bool pointOnLineSegment(pt a, pt b, pt p) {
+ if (orientation(a, b, p) != 0) return false;
+ ld dist = norm(a - b);
+ return norm(a - p) <= dist && norm(b - p) <= dist;
+}
+
+// Entfernung von Punkt p zur Strecke a-b.
+double distToSegment(pt a, pt b, pt p) {
+ if (a == b) return abs(p - a);
+ pt dir = b - a;
+ if (dot(dir, a) <= dot(dir, p) && dot(dir, p) <= dot(dir, b)) {
+ return distToLine(a, b, p);
+ } else {
+ return min(abs(p - a), abs(p - b));
+}}
+
+// Kürzeste Entfernung zwischen den Strecken a-b und c-d.
+double distBetweenSegments(pt a, pt b, pt c, pt d) {
+ if (lineSegmentIntersection(a, b, c, d)) return 0.0;
+ double result = distToSegment(a, b, c);
+ result = min(result, distToSegment(a, b, d));
+ result = min(result, distToSegment(c, d, a));
+ return min(result, distToSegment(c, d, b));
+}
+
+// sortiert alle Punkte pts auf einer Linie
+// entsprechend der richtung dir 2d und 3d
+void sortLine(pt dir, vector<pt>& pts) {
+ sort(pts.begin(), pts.end(), [&](pt a, pt b){
+ return dot(dir, a) < dot(dir, b);
+ });
+} \ No newline at end of file