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+/*
+* Copyright (c) 2006-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_COLLISION_H
+#define B2_COLLISION_H
+
+#include "Box2D/Common/b2Math.h"
+#include <limits.h>
+
+/// @file
+/// Structures and functions used for computing contact points, distance
+/// queries, and TOI queries.
+
+class b2Shape;
+class b2CircleShape;
+class b2EdgeShape;
+class b2PolygonShape;
+
+const uint8 b2_nullFeature = UCHAR_MAX;
+
+/// The features that intersect to form the contact point
+/// This must be 4 bytes or less.
+struct b2ContactFeature
+{
+ enum Type
+ {
+ e_vertex = 0,
+ e_face = 1
+ };
+
+ uint8 indexA; ///< Feature index on shapeA
+ uint8 indexB; ///< Feature index on shapeB
+ uint8 typeA; ///< The feature type on shapeA
+ uint8 typeB; ///< The feature type on shapeB
+};
+
+/// Contact ids to facilitate warm starting.
+union b2ContactID
+{
+ b2ContactFeature cf;
+ uint32 key; ///< Used to quickly compare contact ids.
+};
+
+/// A manifold point is a contact point belonging to a contact
+/// manifold. It holds details related to the geometry and dynamics
+/// of the contact points.
+/// The local point usage depends on the manifold type:
+/// -e_circles: the local center of circleB
+/// -e_faceA: the local center of cirlceB or the clip point of polygonB
+/// -e_faceB: the clip point of polygonA
+/// This structure is stored across time steps, so we keep it small.
+/// Note: the impulses are used for internal caching and may not
+/// provide reliable contact forces, especially for high speed collisions.
+struct b2ManifoldPoint
+{
+ b2Vec2 localPoint; ///< usage depends on manifold type
+ float32 normalImpulse; ///< the non-penetration impulse
+ float32 tangentImpulse; ///< the friction impulse
+ b2ContactID id; ///< uniquely identifies a contact point between two shapes
+};
+
+/// A manifold for two touching convex shapes.
+/// Box2D supports multiple types of contact:
+/// - clip point versus plane with radius
+/// - point versus point with radius (circles)
+/// The local point usage depends on the manifold type:
+/// -e_circles: the local center of circleA
+/// -e_faceA: the center of faceA
+/// -e_faceB: the center of faceB
+/// Similarly the local normal usage:
+/// -e_circles: not used
+/// -e_faceA: the normal on polygonA
+/// -e_faceB: the normal on polygonB
+/// We store contacts in this way so that position correction can
+/// account for movement, which is critical for continuous physics.
+/// All contact scenarios must be expressed in one of these types.
+/// This structure is stored across time steps, so we keep it small.
+struct b2Manifold
+{
+ enum Type
+ {
+ e_circles,
+ e_faceA,
+ e_faceB
+ };
+
+ b2ManifoldPoint points[b2_maxManifoldPoints]; ///< the points of contact
+ b2Vec2 localNormal; ///< not use for Type::e_points
+ b2Vec2 localPoint; ///< usage depends on manifold type
+ Type type;
+ int32 pointCount; ///< the number of manifold points
+};
+
+/// This is used to compute the current state of a contact manifold.
+struct b2WorldManifold
+{
+ /// Evaluate the manifold with supplied transforms. This assumes
+ /// modest motion from the original state. This does not change the
+ /// point count, impulses, etc. The radii must come from the shapes
+ /// that generated the manifold.
+ void Initialize(const b2Manifold* manifold,
+ const b2Transform& xfA, float32 radiusA,
+ const b2Transform& xfB, float32 radiusB);
+
+ b2Vec2 normal; ///< world vector pointing from A to B
+ b2Vec2 points[b2_maxManifoldPoints]; ///< world contact point (point of intersection)
+ float32 separations[b2_maxManifoldPoints]; ///< a negative value indicates overlap, in meters
+};
+
+/// This is used for determining the state of contact points.
+enum b2PointState
+{
+ b2_nullState, ///< point does not exist
+ b2_addState, ///< point was added in the update
+ b2_persistState, ///< point persisted across the update
+ b2_removeState ///< point was removed in the update
+};
+
+/// Compute the point states given two manifolds. The states pertain to the transition from manifold1
+/// to manifold2. So state1 is either persist or remove while state2 is either add or persist.
+void b2GetPointStates(b2PointState state1[b2_maxManifoldPoints], b2PointState state2[b2_maxManifoldPoints],
+ const b2Manifold* manifold1, const b2Manifold* manifold2);
+
+/// Used for computing contact manifolds.
+struct b2ClipVertex
+{
+ b2Vec2 v;
+ b2ContactID id;
+};
+
+/// Ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
+struct b2RayCastInput
+{
+ b2Vec2 p1, p2;
+ float32 maxFraction;
+};
+
+/// Ray-cast output data. The ray hits at p1 + fraction * (p2 - p1), where p1 and p2
+/// come from b2RayCastInput.
+struct b2RayCastOutput
+{
+ b2Vec2 normal;
+ float32 fraction;
+};
+
+/// An axis aligned bounding box.
+struct b2AABB
+{
+ /// Verify that the bounds are sorted.
+ bool IsValid() const;
+
+ /// Get the center of the AABB.
+ b2Vec2 GetCenter() const
+ {
+ return 0.5f * (lowerBound + upperBound);
+ }
+
+ /// Get the extents of the AABB (half-widths).
+ b2Vec2 GetExtents() const
+ {
+ return 0.5f * (upperBound - lowerBound);
+ }
+
+ /// Get the perimeter length
+ float32 GetPerimeter() const
+ {
+ float32 wx = upperBound.x - lowerBound.x;
+ float32 wy = upperBound.y - lowerBound.y;
+ return 2.0f * (wx + wy);
+ }
+
+ /// Combine an AABB into this one.
+ void Combine(const b2AABB& aabb)
+ {
+ lowerBound = b2Min(lowerBound, aabb.lowerBound);
+ upperBound = b2Max(upperBound, aabb.upperBound);
+ }
+
+ /// Combine two AABBs into this one.
+ void Combine(const b2AABB& aabb1, const b2AABB& aabb2)
+ {
+ lowerBound = b2Min(aabb1.lowerBound, aabb2.lowerBound);
+ upperBound = b2Max(aabb1.upperBound, aabb2.upperBound);
+ }
+
+ /// Does this aabb contain the provided AABB.
+ bool Contains(const b2AABB& aabb) const
+ {
+ bool result = true;
+ result = result && lowerBound.x <= aabb.lowerBound.x;
+ result = result && lowerBound.y <= aabb.lowerBound.y;
+ result = result && aabb.upperBound.x <= upperBound.x;
+ result = result && aabb.upperBound.y <= upperBound.y;
+ return result;
+ }
+
+ bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input) const;
+
+ b2Vec2 lowerBound; ///< the lower vertex
+ b2Vec2 upperBound; ///< the upper vertex
+};
+
+/// Compute the collision manifold between two circles.
+void b2CollideCircles(b2Manifold* manifold,
+ const b2CircleShape* circleA, const b2Transform& xfA,
+ const b2CircleShape* circleB, const b2Transform& xfB);
+
+/// Compute the collision manifold between a polygon and a circle.
+void b2CollidePolygonAndCircle(b2Manifold* manifold,
+ const b2PolygonShape* polygonA, const b2Transform& xfA,
+ const b2CircleShape* circleB, const b2Transform& xfB);
+
+/// Compute the collision manifold between two polygons.
+void b2CollidePolygons(b2Manifold* manifold,
+ const b2PolygonShape* polygonA, const b2Transform& xfA,
+ const b2PolygonShape* polygonB, const b2Transform& xfB);
+
+/// Compute the collision manifold between an edge and a circle.
+void b2CollideEdgeAndCircle(b2Manifold* manifold,
+ const b2EdgeShape* polygonA, const b2Transform& xfA,
+ const b2CircleShape* circleB, const b2Transform& xfB);
+
+/// Compute the collision manifold between an edge and a circle.
+void b2CollideEdgeAndPolygon(b2Manifold* manifold,
+ const b2EdgeShape* edgeA, const b2Transform& xfA,
+ const b2PolygonShape* circleB, const b2Transform& xfB);
+
+/// Clipping for contact manifolds.
+int32 b2ClipSegmentToLine(b2ClipVertex vOut[2], const b2ClipVertex vIn[2],
+ const b2Vec2& normal, float32 offset, int32 vertexIndexA);
+
+/// Determine if two generic shapes overlap.
+bool b2TestOverlap( const b2Shape* shapeA, int32 indexA,
+ const b2Shape* shapeB, int32 indexB,
+ const b2Transform& xfA, const b2Transform& xfB);
+
+// ---------------- Inline Functions ------------------------------------------
+
+inline bool b2AABB::IsValid() const
+{
+ b2Vec2 d = upperBound - lowerBound;
+ bool valid = d.x >= 0.0f && d.y >= 0.0f;
+ valid = valid && lowerBound.IsValid() && upperBound.IsValid();
+ return valid;
+}
+
+inline bool b2TestOverlap(const b2AABB& a, const b2AABB& b)
+{
+ b2Vec2 d1, d2;
+ d1 = b.lowerBound - a.upperBound;
+ d2 = a.lowerBound - b.upperBound;
+
+ if (d1.x > 0.0f || d1.y > 0.0f)
+ return false;
+
+ if (d2.x > 0.0f || d2.y > 0.0f)
+ return false;
+
+ return true;
+}
+
+#endif