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-rw-r--r--core/math/math_2d.cpp27
1 files changed, 21 insertions, 6 deletions
diff --git a/core/math/math_2d.cpp b/core/math/math_2d.cpp
index 021b1fbf55..20b916ee3b 100644
--- a/core/math/math_2d.cpp
+++ b/core/math/math_2d.cpp
@@ -6,6 +6,7 @@
/* http://www.godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */
+/* Copyright (c) 2014-2017 Godot Engine contributors (cf. AUTHORS.md) */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
@@ -61,6 +62,10 @@ Vector2 Vector2::normalized() const {
return v;
}
+bool Vector2::is_normalized() const {
+ return Math::isequal_approx(length(), (real_t)1.0);
+}
+
real_t Vector2::distance_to(const Vector2 &p_vector2) const {
return Math::sqrt((x - p_vector2.x) * (x - p_vector2.x) + (y - p_vector2.y) * (y - p_vector2.y));
@@ -274,13 +279,23 @@ Vector2 Vector2::cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, c
*/
}
-Vector2 Vector2::slide(const Vector2 &p_vec) const {
+// slide returns the component of the vector along the given plane, specified by its normal vector.
+Vector2 Vector2::slide(const Vector2 &p_n) const {
+#ifdef DEBUG_ENABLED
+ ERR_FAIL_COND_V(p_n.is_normalized() == false, Vector2());
+#endif
+ return *this - p_n * this->dot(p_n);
+}
- return p_vec - *this * this->dot(p_vec);
+Vector2 Vector2::bounce(const Vector2 &p_n) const {
+ return -reflect(p_n);
}
-Vector2 Vector2::reflect(const Vector2 &p_vec) const {
- return p_vec - *this * this->dot(p_vec) * 2.0;
+Vector2 Vector2::reflect(const Vector2 &p_n) const {
+#ifdef DEBUG_ENABLED
+ ERR_FAIL_COND_V(p_n.is_normalized() == false, Vector2());
+#endif
+ return 2.0 * p_n * this->dot(p_n) - *this;
}
bool Rect2::intersects_segment(const Point2 &p_from, const Point2 &p_to, Point2 *r_pos, Point2 *r_normal) const {
@@ -449,7 +464,7 @@ real_t Transform2D::get_rotation() const {
real_t det = basis_determinant();
Transform2D m = orthonormalized();
if (det < 0) {
- m.scale_basis(Size2(-1, -1));
+ m.scale_basis(Size2(1, -1)); // convention to separate rotation and reflection for 2D is to absorb a flip along y into scaling.
}
return Math::atan2(m[0].y, m[0].x);
}
@@ -477,7 +492,7 @@ Transform2D::Transform2D(real_t p_rot, const Vector2 &p_pos) {
Size2 Transform2D::get_scale() const {
real_t det_sign = basis_determinant() > 0 ? 1 : -1;
- return det_sign * Size2(elements[0].length(), elements[1].length());
+ return Size2(elements[0].length(), det_sign * elements[1].length());
}
void Transform2D::scale(const Size2 &p_scale) {