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authormzuenni <mzuenni@users.noreply.github.com>2024-07-28 22:54:40 +0200
committerGitHub <noreply@github.com>2024-07-28 22:54:40 +0200
commit8d11c6c8213f46f0fa19826917c255edd5d43cb1 (patch)
tree96d75baff33d5a04b5a60f1a41f514a26c716874 /content/geometry/triangle.cpp
parent8c33b4e0d3030cfed17fc64b4fe41133339f6d87 (diff)
Test (#4)
* update * moved content in subdir * rename file * add test setup * add test setup * add github action * automaticly test all cpp files * timeout after 10s * setulimit and dont zero memory * test build pdf * install latexmk * update * update * ngerman * fonts * removed old code * add first test * added tests * test in sorted order * more tests * simplified test * more tests * fix suffix tree * fixes and improvements * done ust lst directly * fix swap * add links to pdf * fix constants * add primorial * add comment * various improvements * more tests * added missing stuf * more tests * fix tests * more tests * more tests * more tests * fix recursion? * test trie * more tests * only use python temporarily for listings * only use python temporarily for listings * more tests * fix longestCommonSubstring * more tests * more tests * made code more similiar * fix? * more tests * more tests * more tests * add ahoCorasick test + limit 4GB stack size * more tests * fix test * add additional test * more tests * more tests * fix? * better fix * fix virtual tree * more tests * more tests * recursive closest pair * more tests * decrease limit * new tests * more tests * fix name * more tests * add test * new test * more tests * more tests * more tests * more tests * new test and content * new code * new code * larger tests * fix and test * new test * new test * update pdf * remove comments * new test * more tests * more testcases * more tests * increased limit * more tests * more tests * more tests * new tests * more tests * shortened code * new test * add basic tests for bigint * more tests * removed old files * new test * ignore some files * more auto more ccw * fix test * more tests * fix * new tests * more tests * more tests * stronger test * actually verify delaunay... * more tests * fix header * more tests * run tests parallel? * test parralel? * add --missing * separate workflows * test * is the pdf checked? * separate workflows * fix workflow * more workflows --------- Co-authored-by: Yidi <noob999noob999@gmail.com>
Diffstat (limited to 'content/geometry/triangle.cpp')
-rw-r--r--content/geometry/triangle.cpp43
1 files changed, 43 insertions, 0 deletions
diff --git a/content/geometry/triangle.cpp b/content/geometry/triangle.cpp
new file mode 100644
index 0000000..534bb10
--- /dev/null
+++ b/content/geometry/triangle.cpp
@@ -0,0 +1,43 @@
+// Mittelpunkt des Dreiecks abc.
+pt centroid(pt a, pt b, pt c) {return (a + b + c) / 3.0;}
+
+// Flächeninhalt eines Dreicks bei bekannten Eckpunkten.
+double area(pt a, pt b, pt c) {
+ return abs(cross(a, b, c)) / 2.0;
+}
+
+// Flächeninhalt eines Dreiecks bei bekannten Seitenlängen.
+double area(double a, double b, double c) {
+ double s = (a + b + c) / 2.0; //unpräzise
+ return sqrt(s * (s-a) * (s-b) * (s-c));
+}
+
+// Zentrum des größten Kreises im Dreiecke
+pt inCenter(pt a, pt b, pt c) {
+ double x = abs(a-b), y = abs(b-c), z = abs(a-c);
+ return (y*a + z*b + x*c) / (x+y+z);
+}
+
+// Zentrum des Kreises durch alle Eckpunkte
+// a, b und c nicht kollinear
+pt circumCenter(pt a, pt b, pt c) {
+ b -= a, c -= a;
+ pt d = b * norm(c) - c * norm(b);
+ d = {-d.imag(), d.real()};
+ return a + d / cross(b, c) / 2.0;
+}
+
+// -1 => p außerhalb Kreis durch a,b,c
+// 0 => p auf Kreis durch a,b,c
+// 1 => p im Kreis durch a,b,c
+int insideOutCenter(pt a, pt b, pt c, pt p) {// braucht lll
+ return ccw(a,b,c) * sgn(imag((c-b)*conj(p-c)*(a-p)*conj(b-a)));
+}
+
+// Sind die Dreiecke a1, b1, c1, and a2, b2, c2 ähnlich?
+// Erste Zeile testet Ähnlichkeit mit gleicher Orientierung,
+// zweite Zeile testet Ähnlichkeit mit verschiedener Orientierung
+bool similar(pt a1, pt b1, pt c1, pt a2, pt b2, pt c2) {
+ return (b2-a2) * (c1-a1) == (b1-a1) * (c2-a2) ||
+ (b2-a2) * conj(c1-a1) == conj(b1-a1) * (c2-a2);
+}