Typesetting math section.

1 files changed, 24 insertions, 0 deletions

diff --git a/math/spheres.cpp b/math/spheres.cpp
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index 0000000..324eb00
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+++ b/math/spheres.cpp
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+// Great Cirlce Distance mit Längen- und Breitengrad.
+double gcDist(
+    double pLat, double pLon, double qLat, double qLon, double radius) {
+  pLat *= PI / 180; pLon *= PI / 180; qLat *= PI / 180; qLon *= PI / 180;
+  return radius * acos(cos(pLat) * cos(pLon) * cos(qLat) * cos(qLon) +
+                       cos(pLat) * sin(pLon) * cos(qLat) * sin(qLon) +
+                       sin(pLat) * sin(qLat));
+}
+
+// Great Cirlce Distance mit kartesischen Koordinaten.
+double gcDist(point p, point q) {
+  return acos(p.x * q.x + p.y * q.y + p.z * q.z);
+}
+
+// 3D Punkt in kartesischen Koordinaten.
+struct point{
+  double x, y, z;
+  point() {}
+  point(double x, double y, double z) : x(x), y(y), z(z) {}
+  point(double lat, double lon) {
+    lat *= PI / 180.0; lon *= PI / 180.0;
+    x = cos(lat) * sin(lon); y = cos(lat) * cos(lon); z = sin(lat);
+  }
+};