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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/circle.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/circle.cpp')
| -rw-r--r-- | content/geometry/circle.cpp | 33 |
1 files changed, 33 insertions, 0 deletions
diff --git a/content/geometry/circle.cpp b/content/geometry/circle.cpp new file mode 100644 index 0000000..6789c52 --- /dev/null +++ b/content/geometry/circle.cpp @@ -0,0 +1,33 @@ +// berechnet die Schnittpunkte von zwei Kreisen +// (Kreise dürfen nicht gleich sein!) +vector<pt> circleIntersection(pt c1, double r1, + pt c2, double r2) { + double d = abs(c1 - c2); + if (d < abs(r1 - r2) || d > abs(r1 + r2)) return {}; + double a = (r1 * r1 - r2 * r2 + d * d) / (2 * d); + pt p = (c2 - c1) * a / d + c1; + if (d == abs(r1 - r2) || d == abs(r1 + r2)) return {p}; + double h = sqrt(r1 * r1 - a * a); + return {p + pt{0, 1} * (c2 - c1) * h / d, + p - pt{0, 1} * (c2 - c1) * h / d}; +} + +// berechnet die Schnittpunkte zwischen +// einem Kreis(Kugel) und einem Strahl (2D und 3D) +vector<pt> circleRayIntersection(pt center, double r, + pt orig, pt dir) { + vector<pt> result; + double a = norm(dir); + double b = 2 * dot(dir, orig - center); + double c = norm(orig - center) - r * r; + double discr = b * b - 4 * a * c; + if (discr >= 0) { + //t in [0, 1] => schnitt mit Segment [orig, orig + dir] + double t1 = -(b + sqrt(discr)) / (2 * a); + double t2 = -(b - sqrt(discr)) / (2 * a); + if (t1 >= 0) result.push_back(t1 * dir + orig); + if (t2 >= 0 && abs(t1 - t2) > EPS) { + result.push_back(t2 * dir + orig); + }} + return result; +} |