5 files changed, 34 insertions, 1 deletions
diff --git a/core/math/geometry.h b/core/math/geometry.h
index 73a53c53b6..be998aef0b 100644
--- a/core/math/geometry.h
+++ b/core/math/geometry.h
@@ -529,6 +529,21 @@ public:
 		return p_segment[0] + n * d; // inside
 	}
 
+	static bool line_intersects_line_2d(const Vector2 &p_from_a, const Vector2 &p_dir_a, const Vector2 &p_from_b, const Vector2 &p_dir_b, Vector2 &r_result) {
+
+		// see http://paulbourke.net/geometry/pointlineplane/
+
+		const real_t denom = p_dir_b.y * p_dir_a.x - p_dir_b.x * p_dir_a.y;
+		if (Math::abs(denom) < CMP_EPSILON) { // parallel?
+			return false;
+		}
+
+		const Vector2 v = p_from_a - p_from_b;
+		const real_t t = (p_dir_b.x * v.y - p_dir_b.y * v.x) / denom;
+		r_result = p_from_a + t * p_dir_a;
+		return true;
+	}
+
 	static bool segment_intersects_segment_2d(const Vector2 &p_from_a, const Vector2 &p_to_a, const Vector2 &p_from_b, const Vector2 &p_to_b, Vector2 *r_result) {
 
 		Vector2 B = p_to_a - p_from_a;
diff --git a/core/math/math_2d.cpp b/core/math/math_2d.cpp
index 3767d298a1..a053ffbd93 100644
--- a/core/math/math_2d.cpp
+++ b/core/math/math_2d.cpp
@@ -103,6 +103,16 @@ Vector2 Vector2::floor() const {
 	return Vector2(Math::floor(x), Math::floor(y));
 }
 
+Vector2 Vector2::ceil() const {
+
+	return Vector2(Math::ceil(x), Math::ceil(y));
+}
+
+Vector2 Vector2::round() const {
+
+	return Vector2(Math::round(x), Math::round(y));
+}
+
 Vector2 Vector2::rotated(real_t p_by) const {
 
 	Vector2 v;
diff --git a/core/math/math_2d.h b/core/math/math_2d.h
index e7188da85b..611d47e3ff 100644
--- a/core/math/math_2d.h
+++ b/core/math/math_2d.h
@@ -162,6 +162,8 @@ struct Vector2 {
 	}
 
 	Vector2 floor() const;
+	Vector2 ceil() const;
+	Vector2 round() const;
 	Vector2 snapped(const Vector2 &p_by) const;
 	real_t aspect() const { return width / height; }
 
diff --git a/core/math/quick_hull.cpp b/core/math/quick_hull.cpp
index 102e454e02..fc90417413 100644
--- a/core/math/quick_hull.cpp
+++ b/core/math/quick_hull.cpp
@@ -74,7 +74,7 @@ Error QuickHull::build(const Vector<Vector3> &p_points, Geometry::MeshData &r_me
 	int longest_axis = aabb.get_longest_axis_index();
 
 	//first two vertices are the most distant
-	int simplex[4];
+	int simplex[4] = { 0 };
 
 	{
 		real_t max = 0, min = 0;
diff --git a/core/math/vector3.h b/core/math/vector3.h
index 10ec4f5641..3bbfd7627c 100644
--- a/core/math/vector3.h
+++ b/core/math/vector3.h
@@ -103,6 +103,7 @@ struct Vector3 {
 	_FORCE_INLINE_ Vector3 floor() const;
 	_FORCE_INLINE_ Vector3 sign() const;
 	_FORCE_INLINE_ Vector3 ceil() const;
+	_FORCE_INLINE_ Vector3 round() const;
 
 	_FORCE_INLINE_ real_t distance_to(const Vector3 &p_b) const;
 	_FORCE_INLINE_ real_t distance_squared_to(const Vector3 &p_b) const;
@@ -204,6 +205,11 @@ Vector3 Vector3::ceil() const {
 	return Vector3(Math::ceil(x), Math::ceil(y), Math::ceil(z));
 }
 
+Vector3 Vector3::round() const {
+
+	return Vector3(Math::round(x), Math::round(y), Math::round(z));
+}
+
 Vector3 Vector3::linear_interpolate(const Vector3 &p_b, real_t p_t) const {
 
 	return Vector3(