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-rw-r--r--geom.hpp71
1 files changed, 69 insertions, 2 deletions
diff --git a/geom.hpp b/geom.hpp
index abb71c0..e9a4512 100644
--- a/geom.hpp
+++ b/geom.hpp
@@ -17,9 +17,49 @@ struct vec {
return (y > 0 ? a : -a);
}
+ vec normalize() const {
+ double n = norm();
+ return vec(x / n, y / n);
+ }
+
+ bool is_nil() const {
+ return x == 0 && y == 0;
+ }
+
vec operator+ (const vec& o) const {
return vec(x + o.x, y + o.y);
}
+ vec operator- (const vec& o) const {
+ return vec(x - o.x, y - o.y);
+ }
+ vec operator* (double m) const {
+ return vec(m * x, m * y);
+ }
+ vec operator/ (double m) const {
+ return vec(m / x, m / y);
+ }
+
+ static vec from_polar(double r, double theta) {
+ return vec(r * cos(theta), r * sin(theta));
+ }
+
+ static vec dot(vec a, vec b) { // dot product (produit scalaire)
+ return a.x * b.x + a.y * b.y;
+ }
+ static vec cross(vec a, vec b) { // cross product (d├ęterminant 2x2)
+ return a.x * b.y - a.y * b.x;
+ }
+ static vec angle(vec a, vec b) { // oriented angle between two vectors
+ if (a.is_nil() || b.is_nil()) return 0;
+ float cos = dot(a.normalize(), b.normalize());
+ if (cos <= -1) return M_PI;
+ float uangle = acos(cos);
+ if (cross(a, b) > 0) {
+ return uangle;
+ } else {
+ return -uangle;
+ }
+ }
};
struct line {
@@ -28,11 +68,22 @@ struct line {
line(double aa, double bb, double cc) : a(aa), b(bb), c(cc) {}
+ bool on_line(vec p) const {
+ return a * p.x + b * p.y + c == 0;
+ }
+
double dist(vec p) const {
- // TODo
+ // calculate distance from p to the line
+ // TODO
return 1;
}
+ vec proj(vec p) const {
+ // calculate orthogonal projection of point p on the line
+ // TODO
+ return vec(0, 0);
+ }
+
double angle() const {
return vec(-b, a).angle();
}
@@ -42,7 +93,13 @@ struct line {
struct segment {
vec a, b;
- segment(vec pa, vec pb) : a(pa), b(pb), {}
+ segment(vec pa, vec pb) : a(pa), b(pb) {}
+
+ bool on_segment(vec p) const {
+ // TODO
+ // does point intersect segment?
+ return false;
+ }
double dist(vec p) const {
// TODO
@@ -56,6 +113,15 @@ struct circle {
circle(double x, double y, double rr) : c(x, y), r(rr) {}
circle(vec cc, double rr) : c(cc), r(rr) {}
+
+ bool on_circle(vec.p) const {
+ return ((p - c).norm() == r);
+ }
+
+ double dist(vec p) const {
+ // TODO
+ return 1;
+ }
};
struct circpoint {
@@ -63,6 +129,7 @@ struct circpoint {
double theta;
circpoint(circle cc, double th) : c(cc), theta(th) {}
+ circpoint(vec cc, double rr, double th : c(cc, rr), theta(th) {}
vec pos() const {
return c.c + vec(c.r * cos(theta), c.r * sin(theta));