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/*
* Copyright (c) 2006-2010 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_CHAIN_SHAPE_H
#define B2_CHAIN_SHAPE_H
#include <Box2D/Collision/Shapes/b2Shape.h>
class b2EdgeShape;
/// A chain shape is a free form sequence of line segments.
/// The chain has two-sided collision, so you can use inside and outside collision.
/// Therefore, you may use any winding order.
/// Since there may be many vertices, they are allocated using b2Alloc.
/// Connectivity information is used to create smooth collisions.
/// WARNING: The chain will not collide properly if there are self-intersections.
class b2ChainShape : public b2Shape
{
public:
b2ChainShape();
/// The destructor frees the vertices using b2Free.
~b2ChainShape();
/// Clear all data.
void Clear();
/// Create a loop. This automatically adjusts connectivity.
/// @param vertices an array of vertices, these are copied
/// @param count the vertex count
void CreateLoop(const b2Vec2* vertices, int32 count);
/// Create a chain with isolated end vertices.
/// @param vertices an array of vertices, these are copied
/// @param count the vertex count
void CreateChain(const b2Vec2* vertices, int32 count);
/// Establish connectivity to a vertex that precedes the first vertex.
/// Don't call this for loops.
void SetPrevVertex(const b2Vec2& prevVertex);
/// Establish connectivity to a vertex that follows the last vertex.
/// Don't call this for loops.
void SetNextVertex(const b2Vec2& nextVertex);
/// Implement b2Shape. Vertices are cloned using b2Alloc.
b2Shape* Clone(b2BlockAllocator* allocator) const;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const;
/// Get a child edge.
void GetChildEdge(b2EdgeShape* edge, int32 index) const;
/// This always return false.
/// @see b2Shape::TestPoint
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const;
/// Implement b2Shape.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const;
/// Chains have zero mass.
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// The vertices. Owned by this class.
b2Vec2* m_vertices;
/// The vertex count.
int32 m_count;
b2Vec2 m_prevVertex, m_nextVertex;
bool m_hasPrevVertex, m_hasNextVertex;
};
inline b2ChainShape::b2ChainShape()
{
m_type = e_chain;
m_radius = b2_polygonRadius;
m_vertices = NULL;
m_count = 0;
m_hasPrevVertex = false;
m_hasNextVertex = false;
}
#endif

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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_CIRCLE_SHAPE_H
#define B2_CIRCLE_SHAPE_H
#include <Box2D/Collision/Shapes/b2Shape.h>
/// A circle shape.
class b2CircleShape : public b2Shape
{
public:
b2CircleShape();
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const;
/// Implement b2Shape.
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const;
/// Implement b2Shape.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// Get the supporting vertex index in the given direction.
int32 GetSupport(const b2Vec2& d) const;
/// Get the supporting vertex in the given direction.
const b2Vec2& GetSupportVertex(const b2Vec2& d) const;
/// Get the vertex count.
int32 GetVertexCount() const { return 1; }
/// Get a vertex by index. Used by b2Distance.
const b2Vec2& GetVertex(int32 index) const;
/// Position
b2Vec2 m_p;
};
inline b2CircleShape::b2CircleShape()
{
m_type = e_circle;
m_radius = 0.0f;
m_p.SetZero();
}
inline int32 b2CircleShape::GetSupport(const b2Vec2 &d) const
{
B2_NOT_USED(d);
return 0;
}
inline const b2Vec2& b2CircleShape::GetSupportVertex(const b2Vec2 &d) const
{
B2_NOT_USED(d);
return m_p;
}
inline const b2Vec2& b2CircleShape::GetVertex(int32 index) const
{
B2_NOT_USED(index);
b2Assert(index == 0);
return m_p;
}
#endif

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/*
* Copyright (c) 2006-2010 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_EDGE_SHAPE_H
#define B2_EDGE_SHAPE_H
#include <Box2D/Collision/Shapes/b2Shape.h>
/// A line segment (edge) shape. These can be connected in chains or loops
/// to other edge shapes. The connectivity information is used to ensure
/// correct contact normals.
class b2EdgeShape : public b2Shape
{
public:
b2EdgeShape();
/// Set this as an isolated edge.
void Set(const b2Vec2& v1, const b2Vec2& v2);
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const;
/// @see b2Shape::TestPoint
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const;
/// Implement b2Shape.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// These are the edge vertices
b2Vec2 m_vertex1, m_vertex2;
/// Optional adjacent vertices. These are used for smooth collision.
b2Vec2 m_vertex0, m_vertex3;
bool m_hasVertex0, m_hasVertex3;
};
inline b2EdgeShape::b2EdgeShape()
{
m_type = e_edge;
m_radius = b2_polygonRadius;
m_vertex0.x = 0.0f;
m_vertex0.y = 0.0f;
m_vertex3.x = 0.0f;
m_vertex3.y = 0.0f;
m_hasVertex0 = false;
m_hasVertex3 = false;
}
#endif

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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_POLYGON_SHAPE_H
#define B2_POLYGON_SHAPE_H
#include <Box2D/Collision/Shapes/b2Shape.h>
/// A convex polygon. It is assumed that the interior of the polygon is to
/// the left of each edge.
/// Polygons have a maximum number of vertices equal to b2_maxPolygonVertices.
/// In most cases you should not need many vertices for a convex polygon.
class b2PolygonShape : public b2Shape
{
public:
b2PolygonShape();
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const;
/// Create a convex hull from the given array of local points.
/// The count must be in the range [3, b2_maxPolygonVertices].
/// @warning the points may be re-ordered, even if they form a convex polygon
/// @warning collinear points are handled but not removed. Collinear points
/// may lead to poor stacking behavior.
void Set(const b2Vec2* points, int32 count);
/// Build vertices to represent an axis-aligned box centered on the local origin.
/// @param hx the half-width.
/// @param hy the half-height.
void SetAsBox(float32 hx, float32 hy);
/// Build vertices to represent an oriented box.
/// @param hx the half-width.
/// @param hy the half-height.
/// @param center the center of the box in local coordinates.
/// @param angle the rotation of the box in local coordinates.
void SetAsBox(float32 hx, float32 hy, const b2Vec2& center, float32 angle);
/// @see b2Shape::TestPoint
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const;
/// Implement b2Shape.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// Get the vertex count.
int32 GetVertexCount() const { return m_count; }
/// Get a vertex by index.
const b2Vec2& GetVertex(int32 index) const;
/// Validate convexity. This is a very time consuming operation.
/// @returns true if valid
bool Validate() const;
b2Vec2 m_centroid;
b2Vec2 m_vertices[b2_maxPolygonVertices];
b2Vec2 m_normals[b2_maxPolygonVertices];
int32 m_count;
};
inline b2PolygonShape::b2PolygonShape()
{
m_type = e_polygon;
m_radius = b2_polygonRadius;
m_count = 0;
m_centroid.SetZero();
}
inline const b2Vec2& b2PolygonShape::GetVertex(int32 index) const
{
b2Assert(0 <= index && index < m_count);
return m_vertices[index];
}
#endif

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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_SHAPE_H
#define B2_SHAPE_H
#include <Box2D/Common/b2BlockAllocator.h>
#include <Box2D/Common/b2Math.h>
#include <Box2D/Collision/b2Collision.h>
/// This holds the mass data computed for a shape.
struct b2MassData
{
/// The mass of the shape, usually in kilograms.
float32 mass;
/// The position of the shape's centroid relative to the shape's origin.
b2Vec2 center;
/// The rotational inertia of the shape about the local origin.
float32 I;
};
/// A shape is used for collision detection. You can create a shape however you like.
/// Shapes used for simulation in b2World are created automatically when a b2Fixture
/// is created. Shapes may encapsulate a one or more child shapes.
class b2Shape
{
public:
enum Type
{
e_circle = 0,
e_edge = 1,
e_polygon = 2,
e_chain = 3,
e_typeCount = 4
};
virtual ~b2Shape() {}
/// Clone the concrete shape using the provided allocator.
virtual b2Shape* Clone(b2BlockAllocator* allocator) const = 0;
/// Get the type of this shape. You can use this to down cast to the concrete shape.
/// @return the shape type.
Type GetType() const;
/// Get the number of child primitives.
virtual int32 GetChildCount() const = 0;
/// Test a point for containment in this shape. This only works for convex shapes.
/// @param xf the shape world transform.
/// @param p a point in world coordinates.
virtual bool TestPoint(const b2Transform& xf, const b2Vec2& p) const = 0;
/// Cast a ray against a child shape.
/// @param output the ray-cast results.
/// @param input the ray-cast input parameters.
/// @param transform the transform to be applied to the shape.
/// @param childIndex the child shape index
virtual bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const = 0;
/// Given a transform, compute the associated axis aligned bounding box for a child shape.
/// @param aabb returns the axis aligned box.
/// @param xf the world transform of the shape.
/// @param childIndex the child shape
virtual void ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const = 0;
/// Compute the mass properties of this shape using its dimensions and density.
/// The inertia tensor is computed about the local origin.
/// @param massData returns the mass data for this shape.
/// @param density the density in kilograms per meter squared.
virtual void ComputeMass(b2MassData* massData, float32 density) const = 0;
Type m_type;
float32 m_radius;
};
inline b2Shape::Type b2Shape::GetType() const
{
return m_type;
}
#endif

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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_BROAD_PHASE_H
#define B2_BROAD_PHASE_H
#include <Box2D/Common/b2Settings.h>
#include <Box2D/Collision/b2Collision.h>
#include <Box2D/Collision/b2DynamicTree.h>
#include <algorithm>
struct b2Pair
{
int32 proxyIdA;
int32 proxyIdB;
};
/// The broad-phase is used for computing pairs and performing volume queries and ray casts.
/// This broad-phase does not persist pairs. Instead, this reports potentially new pairs.
/// It is up to the client to consume the new pairs and to track subsequent overlap.
class b2BroadPhase
{
public:
enum
{
e_nullProxy = -1
};
b2BroadPhase();
~b2BroadPhase();
/// Create a proxy with an initial AABB. Pairs are not reported until
/// UpdatePairs is called.
int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. It is up to the client to remove any pairs.
void DestroyProxy(int32 proxyId);
/// Call MoveProxy as many times as you like, then when you are done
/// call UpdatePairs to finalized the proxy pairs (for your time step).
void MoveProxy(int32 proxyId, const b2AABB& aabb, const b2Vec2& displacement);
/// Call to trigger a re-processing of it's pairs on the next call to UpdatePairs.
void TouchProxy(int32 proxyId);
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(int32 proxyId) const;
/// Get user data from a proxy. Returns NULL if the id is invalid.
void* GetUserData(int32 proxyId) const;
/// Test overlap of fat AABBs.
bool TestOverlap(int32 proxyIdA, int32 proxyIdB) const;
/// Get the number of proxies.
int32 GetProxyCount() const;
/// Update the pairs. This results in pair callbacks. This can only add pairs.
template <typename T>
void UpdatePairs(T* callback);
/// Query an AABB for overlapping proxies. The callback class
/// is called for each proxy that overlaps the supplied AABB.
template <typename T>
void Query(T* callback, const b2AABB& aabb) const;
/// Ray-cast against the proxies in the tree. This relies on the callback
/// to perform a exact ray-cast in the case were the proxy contains a shape.
/// The callback also performs the any collision filtering. This has performance
/// roughly equal to k * log(n), where k is the number of collisions and n is the
/// number of proxies in the tree.
/// @param input the ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
/// @param callback a callback class that is called for each proxy that is hit by the ray.
template <typename T>
void RayCast(T* callback, const b2RayCastInput& input) const;
/// Get the height of the embedded tree.
int32 GetTreeHeight() const;
/// Get the balance of the embedded tree.
int32 GetTreeBalance() const;
/// Get the quality metric of the embedded tree.
float32 GetTreeQuality() const;
/// Shift the world origin. Useful for large worlds.
/// The shift formula is: position -= newOrigin
/// @param newOrigin the new origin with respect to the old origin
void ShiftOrigin(const b2Vec2& newOrigin);
private:
friend class b2DynamicTree;
void BufferMove(int32 proxyId);
void UnBufferMove(int32 proxyId);
bool QueryCallback(int32 proxyId);
b2DynamicTree m_tree;
int32 m_proxyCount;
int32* m_moveBuffer;
int32 m_moveCapacity;
int32 m_moveCount;
b2Pair* m_pairBuffer;
int32 m_pairCapacity;
int32 m_pairCount;
int32 m_queryProxyId;
};
/// This is used to sort pairs.
inline bool b2PairLessThan(const b2Pair& pair1, const b2Pair& pair2)
{
if (pair1.proxyIdA < pair2.proxyIdA)
{
return true;
}
if (pair1.proxyIdA == pair2.proxyIdA)
{
return pair1.proxyIdB < pair2.proxyIdB;
}
return false;
}
inline void* b2BroadPhase::GetUserData(int32 proxyId) const
{
return m_tree.GetUserData(proxyId);
}
inline bool b2BroadPhase::TestOverlap(int32 proxyIdA, int32 proxyIdB) const
{
const b2AABB& aabbA = m_tree.GetFatAABB(proxyIdA);
const b2AABB& aabbB = m_tree.GetFatAABB(proxyIdB);
return b2TestOverlap(aabbA, aabbB);
}
inline const b2AABB& b2BroadPhase::GetFatAABB(int32 proxyId) const
{
return m_tree.GetFatAABB(proxyId);
}
inline int32 b2BroadPhase::GetProxyCount() const
{
return m_proxyCount;
}
inline int32 b2BroadPhase::GetTreeHeight() const
{
return m_tree.GetHeight();
}
inline int32 b2BroadPhase::GetTreeBalance() const
{
return m_tree.GetMaxBalance();
}
inline float32 b2BroadPhase::GetTreeQuality() const
{
return m_tree.GetAreaRatio();
}
template <typename T>
void b2BroadPhase::UpdatePairs(T* callback)
{
// Reset pair buffer
m_pairCount = 0;
// Perform tree queries for all moving proxies.
for (int32 i = 0; i < m_moveCount; ++i)
{
m_queryProxyId = m_moveBuffer[i];
if (m_queryProxyId == e_nullProxy)
{
continue;
}
// We have to query the tree with the fat AABB so that
// we don't fail to create a pair that may touch later.
const b2AABB& fatAABB = m_tree.GetFatAABB(m_queryProxyId);
// Query tree, create pairs and add them pair buffer.
m_tree.Query(this, fatAABB);
}
// Reset move buffer
m_moveCount = 0;
// Sort the pair buffer to expose duplicates.
std::sort(m_pairBuffer, m_pairBuffer + m_pairCount, b2PairLessThan);
// Send the pairs back to the client.
int32 i = 0;
while (i < m_pairCount)
{
b2Pair* primaryPair = m_pairBuffer + i;
void* userDataA = m_tree.GetUserData(primaryPair->proxyIdA);
void* userDataB = m_tree.GetUserData(primaryPair->proxyIdB);
callback->AddPair(userDataA, userDataB);
++i;
// Skip any duplicate pairs.
while (i < m_pairCount)
{
b2Pair* pair = m_pairBuffer + i;
if (pair->proxyIdA != primaryPair->proxyIdA || pair->proxyIdB != primaryPair->proxyIdB)
{
break;
}
++i;
}
}
// Try to keep the tree balanced.
//m_tree.Rebalance(4);
}
template <typename T>
inline void b2BroadPhase::Query(T* callback, const b2AABB& aabb) const
{
m_tree.Query(callback, aabb);
}
template <typename T>
inline void b2BroadPhase::RayCast(T* callback, const b2RayCastInput& input) const
{
m_tree.RayCast(callback, input);
}
inline void b2BroadPhase::ShiftOrigin(const b2Vec2& newOrigin)
{
m_tree.ShiftOrigin(newOrigin);
}
#endif

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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

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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_DISTANCE_H
#define B2_DISTANCE_H
#include <Box2D/Common/b2Math.h>
class b2Shape;
/// A distance proxy is used by the GJK algorithm.
/// It encapsulates any shape.
struct b2DistanceProxy
{
b2DistanceProxy() : m_vertices(NULL), m_count(0), m_radius(0.0f) {}
/// Initialize the proxy using the given shape. The shape
/// must remain in scope while the proxy is in use.
void Set(const b2Shape* shape, int32 index);
/// Get the supporting vertex index in the given direction.
int32 GetSupport(const b2Vec2& d) const;
/// Get the supporting vertex in the given direction.
const b2Vec2& GetSupportVertex(const b2Vec2& d) const;
/// Get the vertex count.
int32 GetVertexCount() const;
/// Get a vertex by index. Used by b2Distance.
const b2Vec2& GetVertex(int32 index) const;
b2Vec2 m_buffer[2];
const b2Vec2* m_vertices;
int32 m_count;
float32 m_radius;
};
/// Used to warm start b2Distance.
/// Set count to zero on first call.
struct b2SimplexCache
{
float32 metric; ///< length or area
uint16 count;
uint8 indexA[3]; ///< vertices on shape A
uint8 indexB[3]; ///< vertices on shape B
};
/// Input for b2Distance.
/// You have to option to use the shape radii
/// in the computation. Even
struct b2DistanceInput
{
b2DistanceProxy proxyA;
b2DistanceProxy proxyB;
b2Transform transformA;
b2Transform transformB;
bool useRadii;
};
/// Output for b2Distance.
struct b2DistanceOutput
{
b2Vec2 pointA; ///< closest point on shapeA
b2Vec2 pointB; ///< closest point on shapeB
float32 distance;
int32 iterations; ///< number of GJK iterations used
};
/// Compute the closest points between two shapes. Supports any combination of:
/// b2CircleShape, b2PolygonShape, b2EdgeShape. The simplex cache is input/output.
/// On the first call set b2SimplexCache.count to zero.
void b2Distance(b2DistanceOutput* output,
b2SimplexCache* cache,
const b2DistanceInput* input);
//////////////////////////////////////////////////////////////////////////
inline int32 b2DistanceProxy::GetVertexCount() const
{
return m_count;
}
inline const b2Vec2& b2DistanceProxy::GetVertex(int32 index) const
{
b2Assert(0 <= index && index < m_count);
return m_vertices[index];
}
inline int32 b2DistanceProxy::GetSupport(const b2Vec2& d) const
{
int32 bestIndex = 0;
float32 bestValue = b2Dot(m_vertices[0], d);
for (int32 i = 1; i < m_count; ++i)
{
float32 value = b2Dot(m_vertices[i], d);
if (value > bestValue)
{
bestIndex = i;
bestValue = value;
}
}
return bestIndex;
}
inline const b2Vec2& b2DistanceProxy::GetSupportVertex(const b2Vec2& d) const
{
int32 bestIndex = 0;
float32 bestValue = b2Dot(m_vertices[0], d);
for (int32 i = 1; i < m_count; ++i)
{
float32 value = b2Dot(m_vertices[i], d);
if (value > bestValue)
{
bestIndex = i;
bestValue = value;
}
}
return m_vertices[bestIndex];
}
#endif

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/*
* Copyright (c) 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_DYNAMIC_TREE_H
#define B2_DYNAMIC_TREE_H
#include <Box2D/Collision/b2Collision.h>
#include <Box2D/Common/b2GrowableStack.h>
#define b2_nullNode (-1)
/// A node in the dynamic tree. The client does not interact with this directly.
struct b2TreeNode
{
bool IsLeaf() const
{
return child1 == b2_nullNode;
}
/// Enlarged AABB
b2AABB aabb;
void* userData;
union
{
int32 parent;
int32 next;
};
int32 child1;
int32 child2;
// leaf = 0, free node = -1
int32 height;
};
/// A dynamic AABB tree broad-phase, inspired by Nathanael Presson's btDbvt.
/// A dynamic tree arranges data in a binary tree to accelerate
/// queries such as volume queries and ray casts. Leafs are proxies
/// with an AABB. In the tree we expand the proxy AABB by b2_fatAABBFactor
/// so that the proxy AABB is bigger than the client object. This allows the client
/// object to move by small amounts without triggering a tree update.
///
/// Nodes are pooled and relocatable, so we use node indices rather than pointers.
class b2DynamicTree
{
public:
/// Constructing the tree initializes the node pool.
b2DynamicTree();
/// Destroy the tree, freeing the node pool.
~b2DynamicTree();
/// Create a proxy. Provide a tight fitting AABB and a userData pointer.
int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. This asserts if the id is invalid.
void DestroyProxy(int32 proxyId);
/// Move a proxy with a swepted AABB. If the proxy has moved outside of its fattened AABB,
/// then the proxy is removed from the tree and re-inserted. Otherwise
/// the function returns immediately.
/// @return true if the proxy was re-inserted.
bool MoveProxy(int32 proxyId, const b2AABB& aabb1, const b2Vec2& displacement);
/// Get proxy user data.
/// @return the proxy user data or 0 if the id is invalid.
void* GetUserData(int32 proxyId) const;
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(int32 proxyId) const;
/// Query an AABB for overlapping proxies. The callback class
/// is called for each proxy that overlaps the supplied AABB.
template <typename T>
void Query(T* callback, const b2AABB& aabb) const;
/// Ray-cast against the proxies in the tree. This relies on the callback
/// to perform a exact ray-cast in the case were the proxy contains a shape.
/// The callback also performs the any collision filtering. This has performance
/// roughly equal to k * log(n), where k is the number of collisions and n is the
/// number of proxies in the tree.
/// @param input the ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
/// @param callback a callback class that is called for each proxy that is hit by the ray.
template <typename T>
void RayCast(T* callback, const b2RayCastInput& input) const;
/// Validate this tree. For testing.
void Validate() const;
/// Compute the height of the binary tree in O(N) time. Should not be
/// called often.
int32 GetHeight() const;
/// Get the maximum balance of an node in the tree. The balance is the difference
/// in height of the two children of a node.
int32 GetMaxBalance() const;
/// Get the ratio of the sum of the node areas to the root area.
float32 GetAreaRatio() const;
/// Build an optimal tree. Very expensive. For testing.
void RebuildBottomUp();
/// Shift the world origin. Useful for large worlds.
/// The shift formula is: position -= newOrigin
/// @param newOrigin the new origin with respect to the old origin
void ShiftOrigin(const b2Vec2& newOrigin);
private:
int32 AllocateNode();
void FreeNode(int32 node);
void InsertLeaf(int32 node);
void RemoveLeaf(int32 node);
int32 Balance(int32 index);
int32 ComputeHeight() const;
int32 ComputeHeight(int32 nodeId) const;
void ValidateStructure(int32 index) const;
void ValidateMetrics(int32 index) const;
int32 m_root;
b2TreeNode* m_nodes;
int32 m_nodeCount;
int32 m_nodeCapacity;
int32 m_freeList;
/// This is used to incrementally traverse the tree for re-balancing.
uint32 m_path;
int32 m_insertionCount;
};
inline void* b2DynamicTree::GetUserData(int32 proxyId) const
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
return m_nodes[proxyId].userData;
}
inline const b2AABB& b2DynamicTree::GetFatAABB(int32 proxyId) const
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
return m_nodes[proxyId].aabb;
}
template <typename T>
inline void b2DynamicTree::Query(T* callback, const b2AABB& aabb) const
{
b2GrowableStack<int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
int32 nodeId = stack.Pop();
if (nodeId == b2_nullNode)
{
continue;
}
const b2TreeNode* node = m_nodes + nodeId;
if (b2TestOverlap(node->aabb, aabb))
{
if (node->IsLeaf())
{
bool proceed = callback->QueryCallback(nodeId);
if (proceed == false)
{
return;
}
}
else
{
stack.Push(node->child1);
stack.Push(node->child2);
}
}
}
}
template <typename T>
inline void b2DynamicTree::RayCast(T* callback, const b2RayCastInput& input) const
{
b2Vec2 p1 = input.p1;
b2Vec2 p2 = input.p2;
b2Vec2 r = p2 - p1;
b2Assert(r.LengthSquared() > 0.0f);
r.Normalize();
// v is perpendicular to the segment.
b2Vec2 v = b2Cross(1.0f, r);
b2Vec2 abs_v = b2Abs(v);
// Separating axis for segment (Gino, p80).
// |dot(v, p1 - c)| > dot(|v|, h)
float32 maxFraction = input.maxFraction;
// Build a bounding box for the segment.
b2AABB segmentAABB;
{
b2Vec2 t = p1 + maxFraction * (p2 - p1);
segmentAABB.lowerBound = b2Min(p1, t);
segmentAABB.upperBound = b2Max(p1, t);
}
b2GrowableStack<int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
int32 nodeId = stack.Pop();
if (nodeId == b2_nullNode)
{
continue;
}
const b2TreeNode* node = m_nodes + nodeId;
if (b2TestOverlap(node->aabb, segmentAABB) == false)
{
continue;
}
// Separating axis for segment (Gino, p80).
// |dot(v, p1 - c)| > dot(|v|, h)
b2Vec2 c = node->aabb.GetCenter();
b2Vec2 h = node->aabb.GetExtents();
float32 separation = b2Abs(b2Dot(v, p1 - c)) - b2Dot(abs_v, h);
if (separation > 0.0f)
{
continue;
}
if (node->IsLeaf())
{
b2RayCastInput subInput;
subInput.p1 = input.p1;
subInput.p2 = input.p2;
subInput.maxFraction = maxFraction;
float32 value = callback->RayCastCallback(subInput, nodeId);
if (value == 0.0f)
{
// The client has terminated the ray cast.
return;
}
if (value > 0.0f)
{
// Update segment bounding box.
maxFraction = value;
b2Vec2 t = p1 + maxFraction * (p2 - p1);
segmentAABB.lowerBound = b2Min(p1, t);
segmentAABB.upperBound = b2Max(p1, t);
}
}
else
{
stack.Push(node->child1);
stack.Push(node->child2);
}
}
}
#endif

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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_TIME_OF_IMPACT_H
#define B2_TIME_OF_IMPACT_H
#include <Box2D/Common/b2Math.h>
#include <Box2D/Collision/b2Distance.h>
/// Input parameters for b2TimeOfImpact
struct b2TOIInput
{
b2DistanceProxy proxyA;
b2DistanceProxy proxyB;
b2Sweep sweepA;
b2Sweep sweepB;
float32 tMax; // defines sweep interval [0, tMax]
};
// Output parameters for b2TimeOfImpact.
struct b2TOIOutput
{
enum State
{
e_unknown,
e_failed,
e_overlapped,
e_touching,
e_separated
};
State state;
float32 t;
};
/// Compute the upper bound on time before two shapes penetrate. Time is represented as
/// a fraction between [0,tMax]. This uses a swept separating axis and may miss some intermediate,
/// non-tunneling collision. If you change the time interval, you should call this function
/// again.
/// Note: use b2Distance to compute the contact point and normal at the time of impact.
void b2TimeOfImpact(b2TOIOutput* output, const b2TOIInput* input);
#endif