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/formulas.cpp | 42 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 42 insertions(+) create mode 100644 content/geometry/formulas.cpp (limited to 'content/geometry/formulas.cpp') diff --git a/content/geometry/formulas.cpp b/content/geometry/formulas.cpp new file mode 100644 index 0000000..5d4e10d --- /dev/null +++ b/content/geometry/formulas.cpp @@ -0,0 +1,42 @@ +// Komplexe Zahlen als Punkte. Wenn immer möglich complex +// verwenden. Funktionen wie abs() geben dann aber ll zurück. +using pt = complex; + +constexpr double PIU = acos(-1.0l); // PIL < PI < PIU +constexpr double PIL = PIU-2e-19l; + +// Winkel zwischen Punkt und x-Achse in [-PI, PI]. +double angle(pt a) {return arg(a);} + +// rotiert Punkt im Uhrzeigersinn um den Ursprung. +pt rotate(pt a, double theta) {return a * polar(1.0, theta);} + +// Skalarprodukt. +auto dot(pt a, pt b) {return real(conj(a) * b);} + +// abs()^2.(pre c++20) +auto norm(pt a) {return dot(a, a);} + +// Kreuzprodukt, 0, falls kollinear. +auto cross(pt a, pt b) {return imag(conj(a) * b);} +auto cross(pt p, pt a, pt b) {return cross(a - p, b - p);} + +// 1 => c links von a->b +// 0 => a, b und c kolliniear +// -1 => c rechts von a->b +int ccw(pt a, pt b, pt c) { + auto orien = cross(b - a, c - a); + return (orien > EPS) - (orien < -EPS); +} + +// Liegt d in der gleichen Ebene wie a, b, und c? +bool isCoplanar(pt a, pt b, pt c, pt d) { + return abs((b - a) * (c - a) * (d - a)) < EPS; +} + +// charakterisiert winkel zwischen Vektoren u und v +pt uniqueAngle(pt u, pt v) { + pt tmp = v * conj(u); + ll g = abs(gcd(real(tmp), imag(tmp))); + return tmp / g; +} -- cgit v1.2.3