From 8d11c6c8213f46f0fa19826917c255edd5d43cb1 Mon Sep 17 00:00:00 2001 From: mzuenni Date: Sun, 28 Jul 2024 22:54:40 +0200 Subject: 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 --- content/geometry/triangle.cpp | 43 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 43 insertions(+) create mode 100644 content/geometry/triangle.cpp (limited to 'content/geometry/triangle.cpp') 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); +} -- cgit v1.2.3