diff options
Diffstat (limited to 'geometry/formulas3d.cpp')
| -rw-r--r-- | geometry/formulas3d.cpp | 53 |
1 files changed, 0 insertions, 53 deletions
diff --git a/geometry/formulas3d.cpp b/geometry/formulas3d.cpp deleted file mode 100644 index 84e17c0..0000000 --- a/geometry/formulas3d.cpp +++ /dev/null @@ -1,53 +0,0 @@ -// Skalarprodukt -double operator|(pt3 a, pt3 b) { - return a.x * b.x + a.y*b.y + a.z*b.z; -} -double dot(pt3 a, pt3 b) {return a|b;} - -// Kreuzprodukt -pt3 operator*(pt3 a, pt3 b) {return {a.y*b.z - a.z*b.y, - a.z*b.x - a.x*b.z, - a.x*b.y - a.y*b.x};} -pt3 cross(pt3 a, pt3 b) {return a*b;} - -// Länge von a -double abs(pt3 a) {return sqrt(dot(a, a));} -double abs(pt3 a, pt3 b) {return abs(b - a);} - -// Mixedprodukt -double mixed(pt3 a, pt3 b, pt3 c) {return a*b|c;}; - -// orientierung von p zu der Ebene durch a, b, c -// -1 => gegen den Uhrzeigersinn, -// 0 => kolliniear, -// 1 => im Uhrzeigersinn. -int orientation(pt3 a, pt3 b, pt3 c, pt3 p) { - double orien = mixed(b - a, c - a, p - a); - return (orien > EPS) - (orien < -EPS); -} - -// Entfernung von Punkt p zur Ebene a,b,c. -double distToPlane(pt3 a, pt3 b, pt3 c, pt3 p) { - pt3 n = cross(b-a, c-a); - return (abs(dot(n, p)) - dot(n, a)) / abs(n); -} - -// Liegt p in der Ebene a,b,c? -bool pointOnPlane(pt3 a, pt3 b, pt3 c, pt3 p) { - return orientation(a, b, c, p) == 0; -} - -// Schnittpunkt von der Grade a-b und der Ebene c,d,e -// die Grade darf nicht parallel zu der Ebene sein! -pt3 linePlaneIntersection(pt3 a, pt3 b, pt3 c, pt3 d, pt3 e) { - pt3 n = cross(d-c, e-c); - pt3 d = b - a; - return a - d * (dot(n, a) - dot(n, c)) / dot(n, d); -} - -// Abstand zwischen der Grade a-b und c-d -double lineLineDist(pt3 a, pt3 b, pt3 c, pt3 d) { - pt3 n = cross(b - a, d - c); - if (abs(n) < EPS) return distToLine(a, b, c); - return abs(dot(a - c, n)) / abs(n); -} |
