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| author | mzuenni <mzuenni@users.noreply.github.com> | 2024-07-28 22:54:40 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2024-07-28 22:54:40 +0200 |
| commit | 8d11c6c8213f46f0fa19826917c255edd5d43cb1 (patch) | |
| tree | 96d75baff33d5a04b5a60f1a41f514a26c716874 /content/geometry/formulas.cpp | |
| parent | 8c33b4e0d3030cfed17fc64b4fe41133339f6d87 (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/formulas.cpp')
| -rw-r--r-- | content/geometry/formulas.cpp | 42 |
1 files changed, 42 insertions, 0 deletions
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<ll> +// verwenden. Funktionen wie abs() geben dann aber ll zurück. +using pt = complex<double>; + +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; +} |