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migrating to the latest JUCE version

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Nikolai Rodionov
2022-11-04 23:11:33 +01:00
committed by Nikolai Rodionov
parent 4257a0f8ba
commit faf8f18333
2796 changed files with 888518 additions and 784244 deletions
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340
deps/juce/modules/juce_box2d/box2d/Collision/Shapes/b2ChainShape.cpp vendored
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@ -1,170 +1,170 @@
/*
* 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.
*/
#include "b2ChainShape.h"
#include "b2EdgeShape.h"
using namespace std;
b2ChainShape::~b2ChainShape()
{
b2Free(m_vertices);
m_vertices = NULL;
m_count = 0;
}
void b2ChainShape::CreateLoop(const b2Vec2* vertices, int32 count)
{
b2Assert(m_vertices == NULL && m_count == 0);
b2Assert(count >= 3);
m_count = count + 1;
m_vertices = (b2Vec2*)b2Alloc(m_count * sizeof(b2Vec2));
memcpy(m_vertices, vertices, count * sizeof(b2Vec2));
m_vertices[count] = m_vertices[0];
m_prevVertex = m_vertices[m_count - 2];
m_nextVertex = m_vertices[1];
m_hasPrevVertex = true;
m_hasNextVertex = true;
}
void b2ChainShape::CreateChain(const b2Vec2* vertices, int32 count)
{
b2Assert(m_vertices == NULL && m_count == 0);
b2Assert(count >= 2);
m_count = count;
m_vertices = (b2Vec2*)b2Alloc(count * sizeof(b2Vec2));
memcpy(m_vertices, vertices, m_count * sizeof(b2Vec2));
m_hasPrevVertex = false;
m_hasNextVertex = false;
}
void b2ChainShape::SetPrevVertex(const b2Vec2& prevVertex)
{
m_prevVertex = prevVertex;
m_hasPrevVertex = true;
}
void b2ChainShape::SetNextVertex(const b2Vec2& nextVertex)
{
m_nextVertex = nextVertex;
m_hasNextVertex = true;
}
b2Shape* b2ChainShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2ChainShape));
b2ChainShape* clone = new (mem) b2ChainShape;
clone->CreateChain(m_vertices, m_count);
clone->m_prevVertex = m_prevVertex;
clone->m_nextVertex = m_nextVertex;
clone->m_hasPrevVertex = m_hasPrevVertex;
clone->m_hasNextVertex = m_hasNextVertex;
return clone;
}
int32 b2ChainShape::GetChildCount() const
{
// edge count = vertex count - 1
return m_count - 1;
}
void b2ChainShape::GetChildEdge(b2EdgeShape* edge, int32 index) const
{
b2Assert(0 <= index && index < m_count - 1);
edge->m_type = b2Shape::e_edge;
edge->m_radius = m_radius;
edge->m_vertex1 = m_vertices[index + 0];
edge->m_vertex2 = m_vertices[index + 1];
if (index > 0)
{
edge->m_vertex0 = m_vertices[index - 1];
edge->m_hasVertex0 = true;
}
else
{
edge->m_vertex0 = m_prevVertex;
edge->m_hasVertex0 = m_hasPrevVertex;
}
if (index < m_count - 2)
{
edge->m_vertex3 = m_vertices[index + 2];
edge->m_hasVertex3 = true;
}
else
{
edge->m_vertex3 = m_nextVertex;
edge->m_hasVertex3 = m_hasNextVertex;
}
}
bool b2ChainShape::TestPoint(const b2Transform& xf, const b2Vec2& p) const
{
B2_NOT_USED(xf);
B2_NOT_USED(p);
return false;
}
bool b2ChainShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& xf, int32 childIndex) const
{
b2Assert(childIndex < m_count);
b2EdgeShape edgeShape;
int32 i1 = childIndex;
int32 i2 = childIndex + 1;
if (i2 == m_count)
{
i2 = 0;
}
edgeShape.m_vertex1 = m_vertices[i1];
edgeShape.m_vertex2 = m_vertices[i2];
return edgeShape.RayCast(output, input, xf, 0);
}
void b2ChainShape::ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const
{
b2Assert(childIndex < m_count);
int32 i1 = childIndex;
int32 i2 = childIndex + 1;
if (i2 == m_count)
{
i2 = 0;
}
b2Vec2 v1 = b2Mul(xf, m_vertices[i1]);
b2Vec2 v2 = b2Mul(xf, m_vertices[i2]);
aabb->lowerBound = b2Min(v1, v2);
aabb->upperBound = b2Max(v1, v2);
}
void b2ChainShape::ComputeMass(b2MassData* massData, float32 density) const
{
B2_NOT_USED(density);
massData->mass = 0.0f;
massData->center.SetZero();
massData->I = 0.0f;
}
/*
* 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.
*/
#include "b2ChainShape.h"
#include "b2EdgeShape.h"
using namespace std;
b2ChainShape::~b2ChainShape()
{
b2Free(m_vertices);
m_vertices = NULL;
m_count = 0;
}
void b2ChainShape::CreateLoop(const b2Vec2* vertices, int32 count)
{
b2Assert(m_vertices == NULL && m_count == 0);
b2Assert(count >= 3);
m_count = count + 1;
m_vertices = (b2Vec2*)b2Alloc(m_count * sizeof(b2Vec2));
memcpy(m_vertices, vertices, count * sizeof(b2Vec2));
m_vertices[count] = m_vertices[0];
m_prevVertex = m_vertices[m_count - 2];
m_nextVertex = m_vertices[1];
m_hasPrevVertex = true;
m_hasNextVertex = true;
}
void b2ChainShape::CreateChain(const b2Vec2* vertices, int32 count)
{
b2Assert(m_vertices == NULL && m_count == 0);
b2Assert(count >= 2);
m_count = count;
m_vertices = (b2Vec2*)b2Alloc(count * sizeof(b2Vec2));
memcpy(m_vertices, vertices, m_count * sizeof(b2Vec2));
m_hasPrevVertex = false;
m_hasNextVertex = false;
}
void b2ChainShape::SetPrevVertex(const b2Vec2& prevVertex)
{
m_prevVertex = prevVertex;
m_hasPrevVertex = true;
}
void b2ChainShape::SetNextVertex(const b2Vec2& nextVertex)
{
m_nextVertex = nextVertex;
m_hasNextVertex = true;
}
b2Shape* b2ChainShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2ChainShape));
b2ChainShape* clone = new (mem) b2ChainShape;
clone->CreateChain(m_vertices, m_count);
clone->m_prevVertex = m_prevVertex;
clone->m_nextVertex = m_nextVertex;
clone->m_hasPrevVertex = m_hasPrevVertex;
clone->m_hasNextVertex = m_hasNextVertex;
return clone;
}
int32 b2ChainShape::GetChildCount() const
{
// edge count = vertex count - 1
return m_count - 1;
}
void b2ChainShape::GetChildEdge(b2EdgeShape* edge, int32 index) const
{
b2Assert(0 <= index && index < m_count - 1);
edge->m_type = b2Shape::e_edge;
edge->m_radius = m_radius;
edge->m_vertex1 = m_vertices[index + 0];
edge->m_vertex2 = m_vertices[index + 1];
if (index > 0)
{
edge->m_vertex0 = m_vertices[index - 1];
edge->m_hasVertex0 = true;
}
else
{
edge->m_vertex0 = m_prevVertex;
edge->m_hasVertex0 = m_hasPrevVertex;
}
if (index < m_count - 2)
{
edge->m_vertex3 = m_vertices[index + 2];
edge->m_hasVertex3 = true;
}
else
{
edge->m_vertex3 = m_nextVertex;
edge->m_hasVertex3 = m_hasNextVertex;
}
}
bool b2ChainShape::TestPoint(const b2Transform& xf, const b2Vec2& p) const
{
B2_NOT_USED(xf);
B2_NOT_USED(p);
return false;
}
bool b2ChainShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& xf, int32 childIndex) const
{
b2Assert(childIndex < m_count);
b2EdgeShape edgeShape;
int32 i1 = childIndex;
int32 i2 = childIndex + 1;
if (i2 == m_count)
{
i2 = 0;
}
edgeShape.m_vertex1 = m_vertices[i1];
edgeShape.m_vertex2 = m_vertices[i2];
return edgeShape.RayCast(output, input, xf, 0);
}
void b2ChainShape::ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const
{
b2Assert(childIndex < m_count);
int32 i1 = childIndex;
int32 i2 = childIndex + 1;
if (i2 == m_count)
{
i2 = 0;
}
b2Vec2 v1 = b2Mul(xf, m_vertices[i1]);
b2Vec2 v2 = b2Mul(xf, m_vertices[i2]);
aabb->lowerBound = b2Min(v1, v2);
aabb->upperBound = b2Max(v1, v2);
}
void b2ChainShape::ComputeMass(b2MassData* massData, float32 density) const
{
B2_NOT_USED(density);
massData->mass = 0.0f;
massData->center.SetZero();
massData->I = 0.0f;
}

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deps/juce/modules/juce_box2d/box2d/Collision/Shapes/b2ChainShape.h vendored
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@ -1,102 +1,102 @@
/*
* 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 "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();
/// 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, juce::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, juce::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
juce::int32 GetChildCount() const;
/// Get a child edge.
void GetChildEdge(b2EdgeShape* edge, juce::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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::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.
juce::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 = 0;
m_hasNextVertex = 0;
}
#endif
/*
* 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 "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();
/// 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, juce::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, juce::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
juce::int32 GetChildCount() const;
/// Get a child edge.
void GetChildEdge(b2EdgeShape* edge, juce::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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::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.
juce::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 = 0;
m_hasNextVertex = 0;
}
#endif

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deps/juce/modules/juce_box2d/box2d/Collision/Shapes/b2CircleShape.cpp vendored
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@ -1,100 +1,100 @@
/*
* 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.
*/
#include "b2CircleShape.h"
using namespace std;
b2Shape* b2CircleShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2CircleShape));
b2CircleShape* clone = new (mem) b2CircleShape;
*clone = *this;
return clone;
}
int32 b2CircleShape::GetChildCount() const
{
return 1;
}
bool b2CircleShape::TestPoint(const b2Transform& transform, const b2Vec2& p) const
{
b2Vec2 center = transform.p + b2Mul(transform.q, m_p);
b2Vec2 d = p - center;
return b2Dot(d, d) <= m_radius * m_radius;
}
// Collision Detection in Interactive 3D Environments by Gino van den Bergen
// From Section 3.1.2
// x = s + a * r
// norm(x) = radius
bool b2CircleShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 position = transform.p + b2Mul(transform.q, m_p);
b2Vec2 s = input.p1 - position;
float32 b = b2Dot(s, s) - m_radius * m_radius;
// Solve quadratic equation.
b2Vec2 r = input.p2 - input.p1;
float32 c = b2Dot(s, r);
float32 rr = b2Dot(r, r);
float32 sigma = c * c - rr * b;
// Check for negative discriminant and short segment.
if (sigma < 0.0f || rr < b2_epsilon)
{
return false;
}
// Find the point of intersection of the line with the circle.
float32 a = -(c + b2Sqrt(sigma));
// Is the intersection point on the segment?
if (0.0f <= a && a <= input.maxFraction * rr)
{
a /= rr;
output->fraction = a;
output->normal = s + a * r;
output->normal.Normalize();
return true;
}
return false;
}
void b2CircleShape::ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 p = transform.p + b2Mul(transform.q, m_p);
aabb->lowerBound.Set(p.x - m_radius, p.y - m_radius);
aabb->upperBound.Set(p.x + m_radius, p.y + m_radius);
}
void b2CircleShape::ComputeMass(b2MassData* massData, float32 density) const
{
massData->mass = density * b2_pi * m_radius * m_radius;
massData->center = m_p;
// inertia about the local origin
massData->I = massData->mass * (0.5f * m_radius * m_radius + b2Dot(m_p, m_p));
}
/*
* 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.
*/
#include "b2CircleShape.h"
using namespace std;
b2Shape* b2CircleShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2CircleShape));
b2CircleShape* clone = new (mem) b2CircleShape;
*clone = *this;
return clone;
}
int32 b2CircleShape::GetChildCount() const
{
return 1;
}
bool b2CircleShape::TestPoint(const b2Transform& transform, const b2Vec2& p) const
{
b2Vec2 center = transform.p + b2Mul(transform.q, m_p);
b2Vec2 d = p - center;
return b2Dot(d, d) <= m_radius * m_radius;
}
// Collision Detection in Interactive 3D Environments by Gino van den Bergen
// From Section 3.1.2
// x = s + a * r
// norm(x) = radius
bool b2CircleShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 position = transform.p + b2Mul(transform.q, m_p);
b2Vec2 s = input.p1 - position;
float32 b = b2Dot(s, s) - m_radius * m_radius;
// Solve quadratic equation.
b2Vec2 r = input.p2 - input.p1;
float32 c = b2Dot(s, r);
float32 rr = b2Dot(r, r);
float32 sigma = c * c - rr * b;
// Check for negative discriminant and short segment.
if (sigma < 0.0f || rr < b2_epsilon)
{
return false;
}
// Find the point of intersection of the line with the circle.
float32 a = -(c + b2Sqrt(sigma));
// Is the intersection point on the segment?
if (0.0f <= a && a <= input.maxFraction * rr)
{
a /= rr;
output->fraction = a;
output->normal = s + a * r;
output->normal.Normalize();
return true;
}
return false;
}
void b2CircleShape::ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 p = transform.p + b2Mul(transform.q, m_p);
aabb->lowerBound.Set(p.x - m_radius, p.y - m_radius);
aabb->upperBound.Set(p.x + m_radius, p.y + m_radius);
}
void b2CircleShape::ComputeMass(b2MassData* massData, float32 density) const
{
massData->mass = density * b2_pi * m_radius * m_radius;
massData->center = m_p;
// inertia about the local origin
massData->I = massData->mass * (0.5f * m_radius * m_radius + b2Dot(m_p, m_p));
}

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@ -1,91 +1,91 @@
/*
* 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 "b2Shape.h"
/// A circle shape.
class b2CircleShape : public b2Shape
{
public:
b2CircleShape();
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const;
/// @see b2Shape::GetChildCount
juce::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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::int32 childIndex) const;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// Get the supporting vertex index in the given direction.
juce::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.
juce::int32 GetVertexCount() const { return 1; }
/// Get a vertex by index. Used by b2Distance.
const b2Vec2& GetVertex(juce::int32 index) const;
/// Position
b2Vec2 m_p;
};
inline b2CircleShape::b2CircleShape()
{
m_type = e_circle;
m_radius = 0.0f;
m_p.SetZero();
}
inline juce::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(juce::int32 index) const
{
B2_NOT_USED(index);
b2Assert(index == 0);
return m_p;
}
#endif
/*
* 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 "b2Shape.h"
/// A circle shape.
class b2CircleShape : public b2Shape
{
public:
b2CircleShape();
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const;
/// @see b2Shape::GetChildCount
juce::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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::int32 childIndex) const;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// Get the supporting vertex index in the given direction.
juce::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.
juce::int32 GetVertexCount() const { return 1; }
/// Get a vertex by index. Used by b2Distance.
const b2Vec2& GetVertex(juce::int32 index) const;
/// Position
b2Vec2 m_p;
};
inline b2CircleShape::b2CircleShape()
{
m_type = e_circle;
m_radius = 0.0f;
m_p.SetZero();
}
inline juce::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(juce::int32 index) const
{
B2_NOT_USED(index);
b2Assert(index == 0);
return m_p;
}
#endif

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@ -1,139 +1,139 @@
/*
* 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.
*/
#include "b2EdgeShape.h"
using namespace std;
void b2EdgeShape::Set(const b2Vec2& v1, const b2Vec2& v2)
{
m_vertex1 = v1;
m_vertex2 = v2;
m_hasVertex0 = false;
m_hasVertex3 = false;
}
b2Shape* b2EdgeShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2EdgeShape));
b2EdgeShape* clone = new (mem) b2EdgeShape;
*clone = *this;
return clone;
}
int32 b2EdgeShape::GetChildCount() const
{
return 1;
}
bool b2EdgeShape::TestPoint(const b2Transform& xf, const b2Vec2& p) const
{
B2_NOT_USED(xf);
B2_NOT_USED(p);
return false;
}
// p = p1 + t * d
// v = v1 + s * e
// p1 + t * d = v1 + s * e
// s * e - t * d = p1 - v1
bool b2EdgeShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
// Put the ray into the edge's frame of reference.
b2Vec2 p1 = b2MulT(xf.q, input.p1 - xf.p);
b2Vec2 p2 = b2MulT(xf.q, input.p2 - xf.p);
b2Vec2 d = p2 - p1;
b2Vec2 v1 = m_vertex1;
b2Vec2 v2 = m_vertex2;
b2Vec2 e = v2 - v1;
b2Vec2 normal(e.y, -e.x);
normal.Normalize();
// q = p1 + t * d
// dot(normal, q - v1) = 0
// dot(normal, p1 - v1) + t * dot(normal, d) = 0
float32 numerator = b2Dot(normal, v1 - p1);
float32 denominator = b2Dot(normal, d);
if (denominator == 0.0f)
{
return false;
}
float32 t = numerator / denominator;
if (t < 0.0f || input.maxFraction < t)
{
return false;
}
b2Vec2 q = p1 + t * d;
// q = v1 + s * r
// s = dot(q - v1, r) / dot(r, r)
b2Vec2 r = v2 - v1;
float32 rr = b2Dot(r, r);
if (rr == 0.0f)
{
return false;
}
float32 s = b2Dot(q - v1, r) / rr;
if (s < 0.0f || 1.0f < s)
{
return false;
}
output->fraction = t;
if (numerator > 0.0f)
{
output->normal = -normal;
}
else
{
output->normal = normal;
}
return true;
}
void b2EdgeShape::ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 v1 = b2Mul(xf, m_vertex1);
b2Vec2 v2 = b2Mul(xf, m_vertex2);
b2Vec2 lower = b2Min(v1, v2);
b2Vec2 upper = b2Max(v1, v2);
b2Vec2 r(m_radius, m_radius);
aabb->lowerBound = lower - r;
aabb->upperBound = upper + r;
}
void b2EdgeShape::ComputeMass(b2MassData* massData, float32 density) const
{
B2_NOT_USED(density);
massData->mass = 0.0f;
massData->center = 0.5f * (m_vertex1 + m_vertex2);
massData->I = 0.0f;
}
/*
* 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.
*/
#include "b2EdgeShape.h"
using namespace std;
void b2EdgeShape::Set(const b2Vec2& v1, const b2Vec2& v2)
{
m_vertex1 = v1;
m_vertex2 = v2;
m_hasVertex0 = false;
m_hasVertex3 = false;
}
b2Shape* b2EdgeShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2EdgeShape));
b2EdgeShape* clone = new (mem) b2EdgeShape;
*clone = *this;
return clone;
}
int32 b2EdgeShape::GetChildCount() const
{
return 1;
}
bool b2EdgeShape::TestPoint(const b2Transform& xf, const b2Vec2& p) const
{
B2_NOT_USED(xf);
B2_NOT_USED(p);
return false;
}
// p = p1 + t * d
// v = v1 + s * e
// p1 + t * d = v1 + s * e
// s * e - t * d = p1 - v1
bool b2EdgeShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
// Put the ray into the edge's frame of reference.
b2Vec2 p1 = b2MulT(xf.q, input.p1 - xf.p);
b2Vec2 p2 = b2MulT(xf.q, input.p2 - xf.p);
b2Vec2 d = p2 - p1;
b2Vec2 v1 = m_vertex1;
b2Vec2 v2 = m_vertex2;
b2Vec2 e = v2 - v1;
b2Vec2 normal(e.y, -e.x);
normal.Normalize();
// q = p1 + t * d
// dot(normal, q - v1) = 0
// dot(normal, p1 - v1) + t * dot(normal, d) = 0
float32 numerator = b2Dot(normal, v1 - p1);
float32 denominator = b2Dot(normal, d);
if (denominator == 0.0f)
{
return false;
}
float32 t = numerator / denominator;
if (t < 0.0f || input.maxFraction < t)
{
return false;
}
b2Vec2 q = p1 + t * d;
// q = v1 + s * r
// s = dot(q - v1, r) / dot(r, r)
b2Vec2 r = v2 - v1;
float32 rr = b2Dot(r, r);
if (rr == 0.0f)
{
return false;
}
float32 s = b2Dot(q - v1, r) / rr;
if (s < 0.0f || 1.0f < s)
{
return false;
}
output->fraction = t;
if (numerator > 0.0f)
{
output->normal = -normal;
}
else
{
output->normal = normal;
}
return true;
}
void b2EdgeShape::ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 v1 = b2Mul(xf, m_vertex1);
b2Vec2 v2 = b2Mul(xf, m_vertex2);
b2Vec2 lower = b2Min(v1, v2);
b2Vec2 upper = b2Max(v1, v2);
b2Vec2 r(m_radius, m_radius);
aabb->lowerBound = lower - r;
aabb->upperBound = upper + r;
}
void b2EdgeShape::ComputeMass(b2MassData* massData, float32 density) const
{
B2_NOT_USED(density);
massData->mass = 0.0f;
massData->center = 0.5f * (m_vertex1 + m_vertex2);
massData->I = 0.0f;
}

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@ -1,74 +1,74 @@
/*
* 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 "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
juce::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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::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
/*
* 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 "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
juce::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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::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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@ -1,360 +1,360 @@
/*
* 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.
*/
#include "b2PolygonShape.h"
b2Shape* b2PolygonShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2PolygonShape));
b2PolygonShape* clone = new (mem) b2PolygonShape;
*clone = *this;
return clone;
}
void b2PolygonShape::SetAsBox(float32 hx, float32 hy)
{
m_vertexCount = 4;
m_vertices[0].Set(-hx, -hy);
m_vertices[1].Set( hx, -hy);
m_vertices[2].Set( hx, hy);
m_vertices[3].Set(-hx, hy);
m_normals[0].Set(0.0f, -1.0f);
m_normals[1].Set(1.0f, 0.0f);
m_normals[2].Set(0.0f, 1.0f);
m_normals[3].Set(-1.0f, 0.0f);
m_centroid.SetZero();
}
void b2PolygonShape::SetAsBox(float32 hx, float32 hy, const b2Vec2& center, float32 angle)
{
m_vertexCount = 4;
m_vertices[0].Set(-hx, -hy);
m_vertices[1].Set( hx, -hy);
m_vertices[2].Set( hx, hy);
m_vertices[3].Set(-hx, hy);
m_normals[0].Set(0.0f, -1.0f);
m_normals[1].Set(1.0f, 0.0f);
m_normals[2].Set(0.0f, 1.0f);
m_normals[3].Set(-1.0f, 0.0f);
m_centroid = center;
b2Transform xf;
xf.p = center;
xf.q.Set(angle);
// Transform vertices and normals.
for (int32 i = 0; i < m_vertexCount; ++i)
{
m_vertices[i] = b2Mul(xf, m_vertices[i]);
m_normals[i] = b2Mul(xf.q, m_normals[i]);
}
}
int32 b2PolygonShape::GetChildCount() const
{
return 1;
}
static b2Vec2 ComputeCentroid(const b2Vec2* vs, int32 count)
{
b2Assert(count >= 3);
b2Vec2 c; c.Set(0.0f, 0.0f);
float32 area = 0.0f;
// pRef is the reference point for forming triangles.
// It's location doesn't change the result (except for rounding error).
b2Vec2 pRef(0.0f, 0.0f);
#if 0
// This code would put the reference point inside the polygon.
for (int32 i = 0; i < count; ++i)
{
pRef += vs[i];
}
pRef *= 1.0f / count;
#endif
const float32 inv3 = 1.0f / 3.0f;
for (int32 i = 0; i < count; ++i)
{
// Triangle vertices.
b2Vec2 p1 = pRef;
b2Vec2 p2 = vs[i];
b2Vec2 p3 = i + 1 < count ? vs[i+1] : vs[0];
b2Vec2 e1 = p2 - p1;
b2Vec2 e2 = p3 - p1;
float32 D = b2Cross(e1, e2);
float32 triangleArea = 0.5f * D;
area += triangleArea;
// Area weighted centroid
c += triangleArea * inv3 * (p1 + p2 + p3);
}
// Centroid
b2Assert(area > b2_epsilon);
c *= 1.0f / area;
return c;
}
void b2PolygonShape::Set(const b2Vec2* vertices, int32 count)
{
b2Assert(3 <= count && count <= b2_maxPolygonVertices);
m_vertexCount = count;
// Copy vertices.
for (int32 i = 0; i < m_vertexCount; ++i)
{
m_vertices[i] = vertices[i];
}
// Compute normals. Ensure the edges have non-zero length.
for (int32 i = 0; i < m_vertexCount; ++i)
{
int32 i1 = i;
int32 i2 = i + 1 < m_vertexCount ? i + 1 : 0;
b2Vec2 edge = m_vertices[i2] - m_vertices[i1];
b2Assert(edge.LengthSquared() > b2_epsilon * b2_epsilon);
m_normals[i] = b2Cross(edge, 1.0f);
m_normals[i].Normalize();
}
#ifdef _DEBUG
// Ensure the polygon is convex and the interior
// is to the left of each edge.
for (int32 i = 0; i < m_vertexCount; ++i)
{
int32 i1 = i;
int32 i2 = i + 1 < m_vertexCount ? i + 1 : 0;
b2Vec2 edge = m_vertices[i2] - m_vertices[i1];
for (int32 j = 0; j < m_vertexCount; ++j)
{
// Don't check vertices on the current edge.
if (j == i1 || j == i2)
{
continue;
}
b2Vec2 r = m_vertices[j] - m_vertices[i1];
// If this crashes, your polygon is non-convex, has colinear edges,
// or the winding order is wrong.
float32 s = b2Cross(edge, r);
b2Assert(s > 0.0f && "ERROR: Please ensure your polygon is convex and has a CCW winding order");
}
}
#endif
// Compute the polygon centroid.
m_centroid = ComputeCentroid(m_vertices, m_vertexCount);
}
bool b2PolygonShape::TestPoint(const b2Transform& xf, const b2Vec2& p) const
{
b2Vec2 pLocal = b2MulT(xf.q, p - xf.p);
for (int32 i = 0; i < m_vertexCount; ++i)
{
float32 dot = b2Dot(m_normals[i], pLocal - m_vertices[i]);
if (dot > 0.0f)
{
return false;
}
}
return true;
}
bool b2PolygonShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
// Put the ray into the polygon's frame of reference.
b2Vec2 p1 = b2MulT(xf.q, input.p1 - xf.p);
b2Vec2 p2 = b2MulT(xf.q, input.p2 - xf.p);
b2Vec2 d = p2 - p1;
float32 lower = 0.0f, upper = input.maxFraction;
int32 index = -1;
for (int32 i = 0; i < m_vertexCount; ++i)
{
// p = p1 + a * d
// dot(normal, p - v) = 0
// dot(normal, p1 - v) + a * dot(normal, d) = 0
float32 numerator = b2Dot(m_normals[i], m_vertices[i] - p1);
float32 denominator = b2Dot(m_normals[i], d);
if (denominator == 0.0f)
{
if (numerator < 0.0f)
{
return false;
}
}
else
{
// Note: we want this predicate without division:
// lower < numerator / denominator, where denominator < 0
// Since denominator < 0, we have to flip the inequality:
// lower < numerator / denominator <==> denominator * lower > numerator.
if (denominator < 0.0f && numerator < lower * denominator)
{
// Increase lower.
// The segment enters this half-space.
lower = numerator / denominator;
index = i;
}
else if (denominator > 0.0f && numerator < upper * denominator)
{
// Decrease upper.
// The segment exits this half-space.
upper = numerator / denominator;
}
}
// The use of epsilon here causes the assert on lower to trip
// in some cases. Apparently the use of epsilon was to make edge
// shapes work, but now those are handled separately.
//if (upper < lower - b2_epsilon)
if (upper < lower)
{
return false;
}
}
b2Assert(0.0f <= lower && lower <= input.maxFraction);
if (index >= 0)
{
output->fraction = lower;
output->normal = b2Mul(xf.q, m_normals[index]);
return true;
}
return false;
}
void b2PolygonShape::ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 lower = b2Mul(xf, m_vertices[0]);
b2Vec2 upper = lower;
for (int32 i = 1; i < m_vertexCount; ++i)
{
b2Vec2 v = b2Mul(xf, m_vertices[i]);
lower = b2Min(lower, v);
upper = b2Max(upper, v);
}
b2Vec2 r(m_radius, m_radius);
aabb->lowerBound = lower - r;
aabb->upperBound = upper + r;
}
void b2PolygonShape::ComputeMass(b2MassData* massData, float32 density) const
{
// Polygon mass, centroid, and inertia.
// Let rho be the polygon density in mass per unit area.
// Then:
// mass = rho * int(dA)
// centroid.x = (1/mass) * rho * int(x * dA)
// centroid.y = (1/mass) * rho * int(y * dA)
// I = rho * int((x*x + y*y) * dA)
//
// We can compute these integrals by summing all the integrals
// for each triangle of the polygon. To evaluate the integral
// for a single triangle, we make a change of variables to
// the (u,v) coordinates of the triangle:
// x = x0 + e1x * u + e2x * v
// y = y0 + e1y * u + e2y * v
// where 0 <= u && 0 <= v && u + v <= 1.
//
// We integrate u from [0,1-v] and then v from [0,1].
// We also need to use the Jacobian of the transformation:
// D = cross(e1, e2)
//
// Simplification: triangle centroid = (1/3) * (p1 + p2 + p3)
//
// The rest of the derivation is handled by computer algebra.
b2Assert(m_vertexCount >= 3);
b2Vec2 center; center.Set(0.0f, 0.0f);
float32 area = 0.0f;
float32 I = 0.0f;
// s is the reference point for forming triangles.
// It's location doesn't change the result (except for rounding error).
b2Vec2 s(0.0f, 0.0f);
// This code would put the reference point inside the polygon.
for (int32 i = 0; i < m_vertexCount; ++i)
{
s += m_vertices[i];
}
s *= 1.0f / m_vertexCount;
const float32 k_inv3 = 1.0f / 3.0f;
for (int32 i = 0; i < m_vertexCount; ++i)
{
// Triangle vertices.
b2Vec2 e1 = m_vertices[i] - s;
b2Vec2 e2 = i + 1 < m_vertexCount ? m_vertices[i+1] - s : m_vertices[0] - s;
float32 D = b2Cross(e1, e2);
float32 triangleArea = 0.5f * D;
area += triangleArea;
// Area weighted centroid
center += triangleArea * k_inv3 * (e1 + e2);
float32 ex1 = e1.x, ey1 = e1.y;
float32 ex2 = e2.x, ey2 = e2.y;
float32 intx2 = ex1*ex1 + ex2*ex1 + ex2*ex2;
float32 inty2 = ey1*ey1 + ey2*ey1 + ey2*ey2;
I += (0.25f * k_inv3 * D) * (intx2 + inty2);
}
// Total mass
massData->mass = density * area;
// Center of mass
b2Assert(area > b2_epsilon);
center *= 1.0f / area;
massData->center = center + s;
// Inertia tensor relative to the local origin (point s).
massData->I = density * I;
// Shift to center of mass then to original body origin.
massData->I += massData->mass * (b2Dot(massData->center, massData->center) - b2Dot(center, center));
}
/*
* 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.
*/
#include "b2PolygonShape.h"
b2Shape* b2PolygonShape::Clone(b2BlockAllocator* allocator) const
{
void* mem = allocator->Allocate(sizeof(b2PolygonShape));
b2PolygonShape* clone = new (mem) b2PolygonShape;
*clone = *this;
return clone;
}
void b2PolygonShape::SetAsBox(float32 hx, float32 hy)
{
m_vertexCount = 4;
m_vertices[0].Set(-hx, -hy);
m_vertices[1].Set( hx, -hy);
m_vertices[2].Set( hx, hy);
m_vertices[3].Set(-hx, hy);
m_normals[0].Set(0.0f, -1.0f);
m_normals[1].Set(1.0f, 0.0f);
m_normals[2].Set(0.0f, 1.0f);
m_normals[3].Set(-1.0f, 0.0f);
m_centroid.SetZero();
}
void b2PolygonShape::SetAsBox(float32 hx, float32 hy, const b2Vec2& center, float32 angle)
{
m_vertexCount = 4;
m_vertices[0].Set(-hx, -hy);
m_vertices[1].Set( hx, -hy);
m_vertices[2].Set( hx, hy);
m_vertices[3].Set(-hx, hy);
m_normals[0].Set(0.0f, -1.0f);
m_normals[1].Set(1.0f, 0.0f);
m_normals[2].Set(0.0f, 1.0f);
m_normals[3].Set(-1.0f, 0.0f);
m_centroid = center;
b2Transform xf;
xf.p = center;
xf.q.Set(angle);
// Transform vertices and normals.
for (int32 i = 0; i < m_vertexCount; ++i)
{
m_vertices[i] = b2Mul(xf, m_vertices[i]);
m_normals[i] = b2Mul(xf.q, m_normals[i]);
}
}
int32 b2PolygonShape::GetChildCount() const
{
return 1;
}
static b2Vec2 ComputeCentroid(const b2Vec2* vs, int32 count)
{
b2Assert(count >= 3);
b2Vec2 c; c.Set(0.0f, 0.0f);
float32 area = 0.0f;
// pRef is the reference point for forming triangles.
// It's location doesn't change the result (except for rounding error).
b2Vec2 pRef(0.0f, 0.0f);
#if 0
// This code would put the reference point inside the polygon.
for (int32 i = 0; i < count; ++i)
{
pRef += vs[i];
}
pRef *= 1.0f / count;
#endif
const float32 inv3 = 1.0f / 3.0f;
for (int32 i = 0; i < count; ++i)
{
// Triangle vertices.
b2Vec2 p1 = pRef;
b2Vec2 p2 = vs[i];
b2Vec2 p3 = i + 1 < count ? vs[i+1] : vs[0];
b2Vec2 e1 = p2 - p1;
b2Vec2 e2 = p3 - p1;
float32 D = b2Cross(e1, e2);
float32 triangleArea = 0.5f * D;
area += triangleArea;
// Area weighted centroid
c += triangleArea * inv3 * (p1 + p2 + p3);
}
// Centroid
b2Assert(area > b2_epsilon);
c *= 1.0f / area;
return c;
}
void b2PolygonShape::Set(const b2Vec2* vertices, int32 count)
{
b2Assert(3 <= count && count <= b2_maxPolygonVertices);
m_vertexCount = count;
// Copy vertices.
for (int32 i = 0; i < m_vertexCount; ++i)
{
m_vertices[i] = vertices[i];
}
// Compute normals. Ensure the edges have non-zero length.
for (int32 i = 0; i < m_vertexCount; ++i)
{
int32 i1 = i;
int32 i2 = i + 1 < m_vertexCount ? i + 1 : 0;
b2Vec2 edge = m_vertices[i2] - m_vertices[i1];
b2Assert(edge.LengthSquared() > b2_epsilon * b2_epsilon);
m_normals[i] = b2Cross(edge, 1.0f);
m_normals[i].Normalize();
}
#ifdef _DEBUG
// Ensure the polygon is convex and the interior
// is to the left of each edge.
for (int32 i = 0; i < m_vertexCount; ++i)
{
int32 i1 = i;
int32 i2 = i + 1 < m_vertexCount ? i + 1 : 0;
b2Vec2 edge = m_vertices[i2] - m_vertices[i1];
for (int32 j = 0; j < m_vertexCount; ++j)
{
// Don't check vertices on the current edge.
if (j == i1 || j == i2)
{
continue;
}
b2Vec2 r = m_vertices[j] - m_vertices[i1];
// If this crashes, your polygon is non-convex, has colinear edges,
// or the winding order is wrong.
float32 s = b2Cross(edge, r);
b2Assert(s > 0.0f && "ERROR: Please ensure your polygon is convex and has a CCW winding order");
}
}
#endif
// Compute the polygon centroid.
m_centroid = ComputeCentroid(m_vertices, m_vertexCount);
}
bool b2PolygonShape::TestPoint(const b2Transform& xf, const b2Vec2& p) const
{
b2Vec2 pLocal = b2MulT(xf.q, p - xf.p);
for (int32 i = 0; i < m_vertexCount; ++i)
{
float32 dot = b2Dot(m_normals[i], pLocal - m_vertices[i]);
if (dot > 0.0f)
{
return false;
}
}
return true;
}
bool b2PolygonShape::RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
// Put the ray into the polygon's frame of reference.
b2Vec2 p1 = b2MulT(xf.q, input.p1 - xf.p);
b2Vec2 p2 = b2MulT(xf.q, input.p2 - xf.p);
b2Vec2 d = p2 - p1;
float32 lower = 0.0f, upper = input.maxFraction;
int32 index = -1;
for (int32 i = 0; i < m_vertexCount; ++i)
{
// p = p1 + a * d
// dot(normal, p - v) = 0
// dot(normal, p1 - v) + a * dot(normal, d) = 0
float32 numerator = b2Dot(m_normals[i], m_vertices[i] - p1);
float32 denominator = b2Dot(m_normals[i], d);
if (denominator == 0.0f)
{
if (numerator < 0.0f)
{
return false;
}
}
else
{
// Note: we want this predicate without division:
// lower < numerator / denominator, where denominator < 0
// Since denominator < 0, we have to flip the inequality:
// lower < numerator / denominator <==> denominator * lower > numerator.
if (denominator < 0.0f && numerator < lower * denominator)
{
// Increase lower.
// The segment enters this half-space.
lower = numerator / denominator;
index = i;
}
else if (denominator > 0.0f && numerator < upper * denominator)
{
// Decrease upper.
// The segment exits this half-space.
upper = numerator / denominator;
}
}
// The use of epsilon here causes the assert on lower to trip
// in some cases. Apparently the use of epsilon was to make edge
// shapes work, but now those are handled separately.
//if (upper < lower - b2_epsilon)
if (upper < lower)
{
return false;
}
}
b2Assert(0.0f <= lower && lower <= input.maxFraction);
if (index >= 0)
{
output->fraction = lower;
output->normal = b2Mul(xf.q, m_normals[index]);
return true;
}
return false;
}
void b2PolygonShape::ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const
{
B2_NOT_USED(childIndex);
b2Vec2 lower = b2Mul(xf, m_vertices[0]);
b2Vec2 upper = lower;
for (int32 i = 1; i < m_vertexCount; ++i)
{
b2Vec2 v = b2Mul(xf, m_vertices[i]);
lower = b2Min(lower, v);
upper = b2Max(upper, v);
}
b2Vec2 r(m_radius, m_radius);
aabb->lowerBound = lower - r;
aabb->upperBound = upper + r;
}
void b2PolygonShape::ComputeMass(b2MassData* massData, float32 density) const
{
// Polygon mass, centroid, and inertia.
// Let rho be the polygon density in mass per unit area.
// Then:
// mass = rho * int(dA)
// centroid.x = (1/mass) * rho * int(x * dA)
// centroid.y = (1/mass) * rho * int(y * dA)
// I = rho * int((x*x + y*y) * dA)
//
// We can compute these integrals by summing all the integrals
// for each triangle of the polygon. To evaluate the integral
// for a single triangle, we make a change of variables to
// the (u,v) coordinates of the triangle:
// x = x0 + e1x * u + e2x * v
// y = y0 + e1y * u + e2y * v
// where 0 <= u && 0 <= v && u + v <= 1.
//
// We integrate u from [0,1-v] and then v from [0,1].
// We also need to use the Jacobian of the transformation:
// D = cross(e1, e2)
//
// Simplification: triangle centroid = (1/3) * (p1 + p2 + p3)
//
// The rest of the derivation is handled by computer algebra.
b2Assert(m_vertexCount >= 3);
b2Vec2 center; center.Set(0.0f, 0.0f);
float32 area = 0.0f;
float32 I = 0.0f;
// s is the reference point for forming triangles.
// It's location doesn't change the result (except for rounding error).
b2Vec2 s(0.0f, 0.0f);
// This code would put the reference point inside the polygon.
for (int32 i = 0; i < m_vertexCount; ++i)
{
s += m_vertices[i];
}
s *= 1.0f / m_vertexCount;
const float32 k_inv3 = 1.0f / 3.0f;
for (int32 i = 0; i < m_vertexCount; ++i)
{
// Triangle vertices.
b2Vec2 e1 = m_vertices[i] - s;
b2Vec2 e2 = i + 1 < m_vertexCount ? m_vertices[i+1] - s : m_vertices[0] - s;
float32 D = b2Cross(e1, e2);
float32 triangleArea = 0.5f * D;
area += triangleArea;
// Area weighted centroid
center += triangleArea * k_inv3 * (e1 + e2);
float32 ex1 = e1.x, ey1 = e1.y;
float32 ex2 = e2.x, ey2 = e2.y;
float32 intx2 = ex1*ex1 + ex2*ex1 + ex2*ex2;
float32 inty2 = ey1*ey1 + ey2*ey1 + ey2*ey2;
I += (0.25f * k_inv3 * D) * (intx2 + inty2);
}
// Total mass
massData->mass = density * area;
// Center of mass
b2Assert(area > b2_epsilon);
center *= 1.0f / area;
massData->center = center + s;
// Inertia tensor relative to the local origin (point s).
massData->I = density * I;
// Shift to center of mass then to original body origin.
massData->I += massData->mass * (b2Dot(massData->center, massData->center) - b2Dot(center, center));
}

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@ -1,95 +1,95 @@
/*
* 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 "../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
juce::int32 GetChildCount() const;
/// Copy vertices. This assumes the vertices define a convex polygon.
/// It is assumed that the exterior is the the right of each edge.
/// The count must be in the range [3, b2_maxPolygonVertices].
void Set(const b2Vec2* vertices, juce::int32 vertexCount);
/// Build vertices to represent an axis-aligned box.
/// @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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::int32 childIndex) const;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// Get the vertex count.
juce::int32 GetVertexCount() const { return m_vertexCount; }
/// Get a vertex by index.
const b2Vec2& GetVertex(juce::int32 index) const;
b2Vec2 m_centroid;
b2Vec2 m_vertices[b2_maxPolygonVertices];
b2Vec2 m_normals[b2_maxPolygonVertices];
juce::int32 m_vertexCount;
};
inline b2PolygonShape::b2PolygonShape()
{
m_type = e_polygon;
m_radius = b2_polygonRadius;
m_vertexCount = 0;
m_centroid.SetZero();
}
inline const b2Vec2& b2PolygonShape::GetVertex(juce::int32 index) const
{
b2Assert(0 <= index && index < m_vertexCount);
return m_vertices[index];
}
#endif
/*
* 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 "../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
juce::int32 GetChildCount() const;
/// Copy vertices. This assumes the vertices define a convex polygon.
/// It is assumed that the exterior is the the right of each edge.
/// The count must be in the range [3, b2_maxPolygonVertices].
void Set(const b2Vec2* vertices, juce::int32 vertexCount);
/// Build vertices to represent an axis-aligned box.
/// @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, juce::int32 childIndex) const;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, juce::int32 childIndex) const;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float32 density) const;
/// Get the vertex count.
juce::int32 GetVertexCount() const { return m_vertexCount; }
/// Get a vertex by index.
const b2Vec2& GetVertex(juce::int32 index) const;
b2Vec2 m_centroid;
b2Vec2 m_vertices[b2_maxPolygonVertices];
b2Vec2 m_normals[b2_maxPolygonVertices];
juce::int32 m_vertexCount;
};
inline b2PolygonShape::b2PolygonShape()
{
m_type = e_polygon;
m_radius = b2_polygonRadius;
m_vertexCount = 0;
m_centroid.SetZero();
}
inline const b2Vec2& b2PolygonShape::GetVertex(juce::int32 index) const
{
b2Assert(0 <= index && index < m_vertexCount);
return m_vertices[index];
}
#endif

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@ -1,101 +1,101 @@
/*
* 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 "../../Common/b2BlockAllocator.h"
#include "../../Common/b2Math.h"
#include "../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 juce::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, juce::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, juce::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
/*
* 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 "../../Common/b2BlockAllocator.h"
#include "../../Common/b2Math.h"
#include "../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 juce::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, juce::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, juce::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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@ -1,122 +1,122 @@
/*
* 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.
*/
#include "b2BroadPhase.h"
using namespace std;
b2BroadPhase::b2BroadPhase()
{
m_proxyCount = 0;
m_pairCapacity = 16;
m_pairCount = 0;
m_pairBuffer = (b2Pair*)b2Alloc(m_pairCapacity * sizeof(b2Pair));
m_moveCapacity = 16;
m_moveCount = 0;
m_moveBuffer = (int32*)b2Alloc(m_moveCapacity * sizeof(int32));
}
b2BroadPhase::~b2BroadPhase()
{
b2Free(m_moveBuffer);
b2Free(m_pairBuffer);
}
int32 b2BroadPhase::CreateProxy(const b2AABB& aabb, void* userData)
{
int32 proxyId = m_tree.CreateProxy(aabb, userData);
++m_proxyCount;
BufferMove(proxyId);
return proxyId;
}
void b2BroadPhase::DestroyProxy(int32 proxyId)
{
UnBufferMove(proxyId);
--m_proxyCount;
m_tree.DestroyProxy(proxyId);
}
void b2BroadPhase::MoveProxy(int32 proxyId, const b2AABB& aabb, const b2Vec2& displacement)
{
bool buffer = m_tree.MoveProxy(proxyId, aabb, displacement);
if (buffer)
{
BufferMove(proxyId);
}
}
void b2BroadPhase::TouchProxy(int32 proxyId)
{
BufferMove(proxyId);
}
void b2BroadPhase::BufferMove(int32 proxyId)
{
if (m_moveCount == m_moveCapacity)
{
int32* oldBuffer = m_moveBuffer;
m_moveCapacity *= 2;
m_moveBuffer = (int32*)b2Alloc(m_moveCapacity * sizeof(int32));
memcpy(m_moveBuffer, oldBuffer, m_moveCount * sizeof(int32));
b2Free(oldBuffer);
}
m_moveBuffer[m_moveCount] = proxyId;
++m_moveCount;
}
void b2BroadPhase::UnBufferMove(int32 proxyId)
{
for (int32 i = 0; i < m_moveCount; ++i)
{
if (m_moveBuffer[i] == proxyId)
{
m_moveBuffer[i] = e_nullProxy;
return;
}
}
}
// This is called from b2DynamicTree::Query when we are gathering pairs.
bool b2BroadPhase::QueryCallback(int32 proxyId)
{
// A proxy cannot form a pair with itself.
if (proxyId == m_queryProxyId)
{
return true;
}
// Grow the pair buffer as needed.
if (m_pairCount == m_pairCapacity)
{
b2Pair* oldBuffer = m_pairBuffer;
m_pairCapacity *= 2;
m_pairBuffer = (b2Pair*)b2Alloc(m_pairCapacity * sizeof(b2Pair));
memcpy(m_pairBuffer, oldBuffer, m_pairCount * sizeof(b2Pair));
b2Free(oldBuffer);
}
m_pairBuffer[m_pairCount].proxyIdA = b2Min(proxyId, m_queryProxyId);
m_pairBuffer[m_pairCount].proxyIdB = b2Max(proxyId, m_queryProxyId);
++m_pairCount;
return true;
}
/*
* 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.
*/
#include "b2BroadPhase.h"
using namespace std;
b2BroadPhase::b2BroadPhase()
{
m_proxyCount = 0;
m_pairCapacity = 16;
m_pairCount = 0;
m_pairBuffer = (b2Pair*)b2Alloc(m_pairCapacity * sizeof(b2Pair));
m_moveCapacity = 16;
m_moveCount = 0;
m_moveBuffer = (int32*)b2Alloc(m_moveCapacity * sizeof(int32));
}
b2BroadPhase::~b2BroadPhase()
{
b2Free(m_moveBuffer);
b2Free(m_pairBuffer);
}
int32 b2BroadPhase::CreateProxy(const b2AABB& aabb, void* userData)
{
int32 proxyId = m_tree.CreateProxy(aabb, userData);
++m_proxyCount;
BufferMove(proxyId);
return proxyId;
}
void b2BroadPhase::DestroyProxy(int32 proxyId)
{
UnBufferMove(proxyId);
--m_proxyCount;
m_tree.DestroyProxy(proxyId);
}
void b2BroadPhase::MoveProxy(int32 proxyId, const b2AABB& aabb, const b2Vec2& displacement)
{
bool buffer = m_tree.MoveProxy(proxyId, aabb, displacement);
if (buffer)
{
BufferMove(proxyId);
}
}
void b2BroadPhase::TouchProxy(int32 proxyId)
{
BufferMove(proxyId);
}
void b2BroadPhase::BufferMove(int32 proxyId)
{
if (m_moveCount == m_moveCapacity)
{
int32* oldBuffer = m_moveBuffer;
m_moveCapacity *= 2;
m_moveBuffer = (int32*)b2Alloc(m_moveCapacity * sizeof(int32));
memcpy(m_moveBuffer, oldBuffer, m_moveCount * sizeof(int32));
b2Free(oldBuffer);
}
m_moveBuffer[m_moveCount] = proxyId;
++m_moveCount;
}
void b2BroadPhase::UnBufferMove(int32 proxyId)
{
for (int32 i = 0; i < m_moveCount; ++i)
{
if (m_moveBuffer[i] == proxyId)
{
m_moveBuffer[i] = e_nullProxy;
return;
}
}
}
// This is called from b2DynamicTree::Query when we are gathering pairs.
bool b2BroadPhase::QueryCallback(int32 proxyId)
{
// A proxy cannot form a pair with itself.
if (proxyId == m_queryProxyId)
{
return true;
}
// Grow the pair buffer as needed.
if (m_pairCount == m_pairCapacity)
{
b2Pair* oldBuffer = m_pairBuffer;
m_pairCapacity *= 2;
m_pairBuffer = (b2Pair*)b2Alloc(m_pairCapacity * sizeof(b2Pair));
memcpy(m_pairBuffer, oldBuffer, m_pairCount * sizeof(b2Pair));
b2Free(oldBuffer);
}
m_pairBuffer[m_pairCount].proxyIdA = b2Min(proxyId, m_queryProxyId);
m_pairBuffer[m_pairCount].proxyIdB = b2Max(proxyId, m_queryProxyId);
++m_pairCount;
return true;
}

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@ -1,248 +1,248 @@
/*
* 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 "../Common/b2Settings.h"
#include "b2Collision.h"
#include "b2DynamicTree.h"
#include <algorithm>
struct b2Pair
{
juce::int32 proxyIdA;
juce::int32 proxyIdB;
juce::int32 next;
};
/// 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.
juce::int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. It is up to the client to remove any pairs.
void DestroyProxy(juce::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(juce::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(juce::int32 proxyId);
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(juce::int32 proxyId) const;
/// Get user data from a proxy. Returns NULL if the id is invalid.
void* GetUserData(juce::int32 proxyId) const;
/// Test overlap of fat AABBs.
bool TestOverlap(juce::int32 proxyIdA, juce::int32 proxyIdB) const;
/// Get the number of proxies.
juce::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.
juce::int32 GetTreeHeight() const;
/// Get the balance of the embedded tree.
juce::int32 GetTreeBalance() const;
/// Get the quality metric of the embedded tree.
float32 GetTreeQuality() const;
private:
friend class b2DynamicTree;
void BufferMove(juce::int32 proxyId);
void UnBufferMove(juce::int32 proxyId);
bool QueryCallback(juce::int32 proxyId);
b2DynamicTree m_tree;
juce::int32 m_proxyCount;
juce::int32* m_moveBuffer;
juce::int32 m_moveCapacity;
juce::int32 m_moveCount;
b2Pair* m_pairBuffer;
juce::int32 m_pairCapacity;
juce::int32 m_pairCount;
juce::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(juce::int32 proxyId) const
{
return m_tree.GetUserData(proxyId);
}
inline bool b2BroadPhase::TestOverlap(juce::int32 proxyIdA, juce::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(juce::int32 proxyId) const
{
return m_tree.GetFatAABB(proxyId);
}
inline juce::int32 b2BroadPhase::GetProxyCount() const
{
return m_proxyCount;
}
inline juce::int32 b2BroadPhase::GetTreeHeight() const
{
return m_tree.GetHeight();
}
inline juce::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 (juce::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.
juce::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);
}
#endif
/*
* 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 "../Common/b2Settings.h"
#include "b2Collision.h"
#include "b2DynamicTree.h"
#include <algorithm>
struct b2Pair
{
juce::int32 proxyIdA;
juce::int32 proxyIdB;
juce::int32 next;
};
/// 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.
juce::int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. It is up to the client to remove any pairs.
void DestroyProxy(juce::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(juce::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(juce::int32 proxyId);
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(juce::int32 proxyId) const;
/// Get user data from a proxy. Returns NULL if the id is invalid.
void* GetUserData(juce::int32 proxyId) const;
/// Test overlap of fat AABBs.
bool TestOverlap(juce::int32 proxyIdA, juce::int32 proxyIdB) const;
/// Get the number of proxies.
juce::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.
juce::int32 GetTreeHeight() const;
/// Get the balance of the embedded tree.
juce::int32 GetTreeBalance() const;
/// Get the quality metric of the embedded tree.
float32 GetTreeQuality() const;
private:
friend class b2DynamicTree;
void BufferMove(juce::int32 proxyId);
void UnBufferMove(juce::int32 proxyId);
bool QueryCallback(juce::int32 proxyId);
b2DynamicTree m_tree;
juce::int32 m_proxyCount;
juce::int32* m_moveBuffer;
juce::int32 m_moveCapacity;
juce::int32 m_moveCount;
b2Pair* m_pairBuffer;
juce::int32 m_pairCapacity;
juce::int32 m_pairCount;
juce::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(juce::int32 proxyId) const
{
return m_tree.GetUserData(proxyId);
}
inline bool b2BroadPhase::TestOverlap(juce::int32 proxyIdA, juce::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(juce::int32 proxyId) const
{
return m_tree.GetFatAABB(proxyId);
}
inline juce::int32 b2BroadPhase::GetProxyCount() const
{
return m_proxyCount;
}
inline juce::int32 b2BroadPhase::GetTreeHeight() const
{
return m_tree.GetHeight();
}
inline juce::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 (juce::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.
juce::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);
}
#endif

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@ -1,152 +1,152 @@
/*
* Copyright (c) 2007-2009 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.
*/
#include "b2Collision.h"
#include "Shapes/b2CircleShape.h"
#include "Shapes/b2PolygonShape.h"
void b2CollideCircles(
b2Manifold* manifold,
const b2CircleShape* circleA, const b2Transform& xfA,
const b2CircleShape* circleB, const b2Transform& xfB)
{
manifold->pointCount = 0;
b2Vec2 pA = b2Mul(xfA, circleA->m_p);
b2Vec2 pB = b2Mul(xfB, circleB->m_p);
b2Vec2 d = pB - pA;
float32 distSqr = b2Dot(d, d);
float32 rA = circleA->m_radius, rB = circleB->m_radius;
float32 radius = rA + rB;
if (distSqr > radius * radius)
{
return;
}
manifold->type = b2Manifold::e_circles;
manifold->localPoint = circleA->m_p;
manifold->localNormal.SetZero();
manifold->pointCount = 1;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
void b2CollidePolygonAndCircle(
b2Manifold* manifold,
const b2PolygonShape* polygonA, const b2Transform& xfA,
const b2CircleShape* circleB, const b2Transform& xfB)
{
manifold->pointCount = 0;
// Compute circle position in the frame of the polygon.
b2Vec2 c = b2Mul(xfB, circleB->m_p);
b2Vec2 cLocal = b2MulT(xfA, c);
// Find the min separating edge.
int32 normalIndex = 0;
float32 separation = -b2_maxFloat;
float32 radius = polygonA->m_radius + circleB->m_radius;
int32 vertexCount = polygonA->m_vertexCount;
const b2Vec2* vertices = polygonA->m_vertices;
const b2Vec2* normals = polygonA->m_normals;
for (int32 i = 0; i < vertexCount; ++i)
{
float32 s = b2Dot(normals[i], cLocal - vertices[i]);
if (s > radius)
{
// Early out.
return;
}
if (s > separation)
{
separation = s;
normalIndex = i;
}
}
// Vertices that subtend the incident face.
int32 vertIndex1 = normalIndex;
int32 vertIndex2 = vertIndex1 + 1 < vertexCount ? vertIndex1 + 1 : 0;
b2Vec2 v1 = vertices[vertIndex1];
b2Vec2 v2 = vertices[vertIndex2];
// If the center is inside the polygon ...
if (separation < b2_epsilon)
{
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = normals[normalIndex];
manifold->localPoint = 0.5f * (v1 + v2);
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
return;
}
// Compute barycentric coordinates
float32 u1 = b2Dot(cLocal - v1, v2 - v1);
float32 u2 = b2Dot(cLocal - v2, v1 - v2);
if (u1 <= 0.0f)
{
if (b2DistanceSquared(cLocal, v1) > radius * radius)
{
return;
}
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = cLocal - v1;
manifold->localNormal.Normalize();
manifold->localPoint = v1;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
else if (u2 <= 0.0f)
{
if (b2DistanceSquared(cLocal, v2) > radius * radius)
{
return;
}
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = cLocal - v2;
manifold->localNormal.Normalize();
manifold->localPoint = v2;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
else
{
b2Vec2 faceCenter = 0.5f * (v1 + v2);
if (b2Dot (cLocal - faceCenter, normals[vertIndex1]) > radius)
return;
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = normals[vertIndex1];
manifold->localPoint = faceCenter;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
}
/*
* Copyright (c) 2007-2009 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.
*/
#include "b2Collision.h"
#include "Shapes/b2CircleShape.h"
#include "Shapes/b2PolygonShape.h"
void b2CollideCircles(
b2Manifold* manifold,
const b2CircleShape* circleA, const b2Transform& xfA,
const b2CircleShape* circleB, const b2Transform& xfB)
{
manifold->pointCount = 0;
b2Vec2 pA = b2Mul(xfA, circleA->m_p);
b2Vec2 pB = b2Mul(xfB, circleB->m_p);
b2Vec2 d = pB - pA;
float32 distSqr = b2Dot(d, d);
float32 rA = circleA->m_radius, rB = circleB->m_radius;
float32 radius = rA + rB;
if (distSqr > radius * radius)
{
return;
}
manifold->type = b2Manifold::e_circles;
manifold->localPoint = circleA->m_p;
manifold->localNormal.SetZero();
manifold->pointCount = 1;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
void b2CollidePolygonAndCircle(
b2Manifold* manifold,
const b2PolygonShape* polygonA, const b2Transform& xfA,
const b2CircleShape* circleB, const b2Transform& xfB)
{
manifold->pointCount = 0;
// Compute circle position in the frame of the polygon.
b2Vec2 c = b2Mul(xfB, circleB->m_p);
b2Vec2 cLocal = b2MulT(xfA, c);
// Find the min separating edge.
int32 normalIndex = 0;
float32 separation = -b2_maxFloat;
float32 radius = polygonA->m_radius + circleB->m_radius;
int32 vertexCount = polygonA->m_vertexCount;
const b2Vec2* vertices = polygonA->m_vertices;
const b2Vec2* normals = polygonA->m_normals;
for (int32 i = 0; i < vertexCount; ++i)
{
float32 s = b2Dot(normals[i], cLocal - vertices[i]);
if (s > radius)
{
// Early out.
return;
}
if (s > separation)
{
separation = s;
normalIndex = i;
}
}
// Vertices that subtend the incident face.
int32 vertIndex1 = normalIndex;
int32 vertIndex2 = vertIndex1 + 1 < vertexCount ? vertIndex1 + 1 : 0;
b2Vec2 v1 = vertices[vertIndex1];
b2Vec2 v2 = vertices[vertIndex2];
// If the center is inside the polygon ...
if (separation < b2_epsilon)
{
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = normals[normalIndex];
manifold->localPoint = 0.5f * (v1 + v2);
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
return;
}
// Compute barycentric coordinates
float32 u1 = b2Dot(cLocal - v1, v2 - v1);
float32 u2 = b2Dot(cLocal - v2, v1 - v2);
if (u1 <= 0.0f)
{
if (b2DistanceSquared(cLocal, v1) > radius * radius)
{
return;
}
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = cLocal - v1;
manifold->localNormal.Normalize();
manifold->localPoint = v1;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
else if (u2 <= 0.0f)
{
if (b2DistanceSquared(cLocal, v2) > radius * radius)
{
return;
}
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = cLocal - v2;
manifold->localNormal.Normalize();
manifold->localPoint = v2;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
else
{
b2Vec2 faceCenter = 0.5f * (v1 + v2);
if (b2Dot (cLocal - faceCenter, normals[vertIndex1]) > radius)
return;
manifold->pointCount = 1;
manifold->type = b2Manifold::e_faceA;
manifold->localNormal = normals[vertIndex1];
manifold->localPoint = faceCenter;
manifold->points[0].localPoint = circleB->m_p;
manifold->points[0].id.key = 0;
}
}

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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.
*/
#include "b2Collision.h"
#include "Shapes/b2PolygonShape.h"
// Find the separation between poly1 and poly2 for a give edge normal on poly1.
static float32 b2EdgeSeparation(const b2PolygonShape* poly1, const b2Transform& xf1, int32 edge1,
const b2PolygonShape* poly2, const b2Transform& xf2)
{
const b2Vec2* vertices1 = poly1->m_vertices;
const b2Vec2* normals1 = poly1->m_normals;
int32 count2 = poly2->m_vertexCount;
const b2Vec2* vertices2 = poly2->m_vertices;
b2Assert(0 <= edge1 && edge1 < poly1->m_vertexCount);
// Convert normal from poly1's frame into poly2's frame.
b2Vec2 normal1World = b2Mul(xf1.q, normals1[edge1]);
b2Vec2 normal1 = b2MulT(xf2.q, normal1World);
// Find support vertex on poly2 for -normal.
int32 index = 0;
float32 minDot = b2_maxFloat;
for (int32 i = 0; i < count2; ++i)
{
float32 dot = b2Dot(vertices2[i], normal1);
if (dot < minDot)
{
minDot = dot;
index = i;
}
}
b2Vec2 v1 = b2Mul(xf1, vertices1[edge1]);
b2Vec2 v2 = b2Mul(xf2, vertices2[index]);
float32 separation = b2Dot(v2 - v1, normal1World);
return separation;
}
// Find the max separation between poly1 and poly2 using edge normals from poly1.
static float32 b2FindMaxSeparation(int32* edgeIndex,
const b2PolygonShape* poly1, const b2Transform& xf1,
const b2PolygonShape* poly2, const b2Transform& xf2)
{
int32 count1 = poly1->m_vertexCount;
const b2Vec2* normals1 = poly1->m_normals;
// Vector pointing from the centroid of poly1 to the centroid of poly2.
b2Vec2 d = b2Mul(xf2, poly2->m_centroid) - b2Mul(xf1, poly1->m_centroid);
b2Vec2 dLocal1 = b2MulT(xf1.q, d);
// Find edge normal on poly1 that has the largest projection onto d.
int32 edge = 0;
float32 maxDot = -b2_maxFloat;
for (int32 i = 0; i < count1; ++i)
{
float32 dot = b2Dot(normals1[i], dLocal1);
if (dot > maxDot)
{
maxDot = dot;
edge = i;
}
}
// Get the separation for the edge normal.
float32 s = b2EdgeSeparation(poly1, xf1, edge, poly2, xf2);
// Check the separation for the previous edge normal.
int32 prevEdge = edge - 1 >= 0 ? edge - 1 : count1 - 1;
float32 sPrev = b2EdgeSeparation(poly1, xf1, prevEdge, poly2, xf2);
// Check the separation for the next edge normal.
int32 nextEdge = edge + 1 < count1 ? edge + 1 : 0;
float32 sNext = b2EdgeSeparation(poly1, xf1, nextEdge, poly2, xf2);
// Find the best edge and the search direction.
int32 bestEdge;
float32 bestSeparation;
int32 increment;
if (sPrev > s && sPrev > sNext)
{
increment = -1;
bestEdge = prevEdge;
bestSeparation = sPrev;
}
else if (sNext > s)
{
increment = 1;
bestEdge = nextEdge;
bestSeparation = sNext;
}
else
{
*edgeIndex = edge;
return s;
}
// Perform a local search for the best edge normal.
for ( ; ; )
{
if (increment == -1)
edge = bestEdge - 1 >= 0 ? bestEdge - 1 : count1 - 1;
else
edge = bestEdge + 1 < count1 ? bestEdge + 1 : 0;
s = b2EdgeSeparation(poly1, xf1, edge, poly2, xf2);
if (s > bestSeparation)
{
bestEdge = edge;
bestSeparation = s;
}
else
{
break;
}
}
*edgeIndex = bestEdge;
return bestSeparation;
}
static void b2FindIncidentEdge(b2ClipVertex c[2],
const b2PolygonShape* poly1, const b2Transform& xf1, int32 edge1,
const b2PolygonShape* poly2, const b2Transform& xf2)
{
const b2Vec2* normals1 = poly1->m_normals;
int32 count2 = poly2->m_vertexCount;
const b2Vec2* vertices2 = poly2->m_vertices;
const b2Vec2* normals2 = poly2->m_normals;
b2Assert(0 <= edge1 && edge1 < poly1->m_vertexCount);
// Get the normal of the reference edge in poly2's frame.
b2Vec2 normal1 = b2MulT(xf2.q, b2Mul(xf1.q, normals1[edge1]));
// Find the incident edge on poly2.
int32 index = 0;
float32 minDot = b2_maxFloat;
for (int32 i = 0; i < count2; ++i)
{
float32 dot = b2Dot(normal1, normals2[i]);
if (dot < minDot)
{
minDot = dot;
index = i;
}
}
// Build the clip vertices for the incident edge.
int32 i1 = index;
int32 i2 = i1 + 1 < count2 ? i1 + 1 : 0;
c[0].v = b2Mul(xf2, vertices2[i1]);
c[0].id.cf.indexA = (uint8)edge1;
c[0].id.cf.indexB = (uint8)i1;
c[0].id.cf.typeA = b2ContactFeature::e_face;
c[0].id.cf.typeB = b2ContactFeature::e_vertex;
c[1].v = b2Mul(xf2, vertices2[i2]);
c[1].id.cf.indexA = (uint8)edge1;
c[1].id.cf.indexB = (uint8)i2;
c[1].id.cf.typeA = b2ContactFeature::e_face;
c[1].id.cf.typeB = b2ContactFeature::e_vertex;
}
// Find edge normal of max separation on A - return if separating axis is found
// Find edge normal of max separation on B - return if separation axis is found
// Choose reference edge as min(minA, minB)
// Find incident edge
// Clip
// The normal points from 1 to 2
void b2CollidePolygons(b2Manifold* manifold,
const b2PolygonShape* polyA, const b2Transform& xfA,
const b2PolygonShape* polyB, const b2Transform& xfB)
{
manifold->pointCount = 0;
float32 totalRadius = polyA->m_radius + polyB->m_radius;
int32 edgeA = 0;
float32 separationA = b2FindMaxSeparation(&edgeA, polyA, xfA, polyB, xfB);
if (separationA > totalRadius)
return;
int32 edgeB = 0;
float32 separationB = b2FindMaxSeparation(&edgeB, polyB, xfB, polyA, xfA);
if (separationB > totalRadius)
return;
const b2PolygonShape* poly1; // reference polygon
const b2PolygonShape* poly2; // incident polygon
b2Transform xf1, xf2;
int32 edge1; // reference edge
uint8 flip;
const float32 k_relativeTol = 0.98f;
const float32 k_absoluteTol = 0.001f;
if (separationB > k_relativeTol * separationA + k_absoluteTol)
{
poly1 = polyB;
poly2 = polyA;
xf1 = xfB;
xf2 = xfA;
edge1 = edgeB;
manifold->type = b2Manifold::e_faceB;
flip = 1;
}
else
{
poly1 = polyA;
poly2 = polyB;
xf1 = xfA;
xf2 = xfB;
edge1 = edgeA;
manifold->type = b2Manifold::e_faceA;
flip = 0;
}
b2ClipVertex incidentEdge[2];
b2FindIncidentEdge(incidentEdge, poly1, xf1, edge1, poly2, xf2);
int32 count1 = poly1->m_vertexCount;
const b2Vec2* vertices1 = poly1->m_vertices;
int32 iv1 = edge1;
int32 iv2 = edge1 + 1 < count1 ? edge1 + 1 : 0;
b2Vec2 v11 = vertices1[iv1];
b2Vec2 v12 = vertices1[iv2];
b2Vec2 localTangent = v12 - v11;
localTangent.Normalize();
b2Vec2 localNormal = b2Cross(localTangent, 1.0f);
b2Vec2 planePoint = 0.5f * (v11 + v12);
b2Vec2 tangent = b2Mul(xf1.q, localTangent);
b2Vec2 normal = b2Cross(tangent, 1.0f);
v11 = b2Mul(xf1, v11);
v12 = b2Mul(xf1, v12);
// Face offset.
float32 frontOffset = b2Dot(normal, v11);
// Side offsets, extended by polytope skin thickness.
float32 sideOffset1 = -b2Dot(tangent, v11) + totalRadius;
float32 sideOffset2 = b2Dot(tangent, v12) + totalRadius;
// Clip incident edge against extruded edge1 side edges.
b2ClipVertex clipPoints1[2];
b2ClipVertex clipPoints2[2];
int np;
// Clip to box side 1
np = b2ClipSegmentToLine(clipPoints1, incidentEdge, -tangent, sideOffset1, iv1);
if (np < 2)
return;
// Clip to negative box side 1
np = b2ClipSegmentToLine(clipPoints2, clipPoints1, tangent, sideOffset2, iv2);
if (np < 2)
{
return;
}
// Now clipPoints2 contains the clipped points.
manifold->localNormal = localNormal;
manifold->localPoint = planePoint;
int32 pointCount = 0;
for (int32 i = 0; i < b2_maxManifoldPoints; ++i)
{
float32 separation = b2Dot(normal, clipPoints2[i].v) - frontOffset;
if (separation <= totalRadius)
{
b2ManifoldPoint* cp = manifold->points + pointCount;
cp->localPoint = b2MulT(xf2, clipPoints2[i].v);
cp->id = clipPoints2[i].id;
if (flip)
{
// Swap features
b2ContactFeature cf = cp->id.cf;
cp->id.cf.indexA = cf.indexB;
cp->id.cf.indexB = cf.indexA;
cp->id.cf.typeA = cf.typeB;
cp->id.cf.typeB = cf.typeA;
}
++pointCount;
}
}
manifold->pointCount = pointCount;
}
/*
* 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.
*/
#include "b2Collision.h"
#include "Shapes/b2PolygonShape.h"
// Find the separation between poly1 and poly2 for a give edge normal on poly1.
static float32 b2EdgeSeparation(const b2PolygonShape* poly1, const b2Transform& xf1, int32 edge1,
const b2PolygonShape* poly2, const b2Transform& xf2)
{
const b2Vec2* vertices1 = poly1->m_vertices;
const b2Vec2* normals1 = poly1->m_normals;
int32 count2 = poly2->m_vertexCount;
const b2Vec2* vertices2 = poly2->m_vertices;
b2Assert(0 <= edge1 && edge1 < poly1->m_vertexCount);
// Convert normal from poly1's frame into poly2's frame.
b2Vec2 normal1World = b2Mul(xf1.q, normals1[edge1]);
b2Vec2 normal1 = b2MulT(xf2.q, normal1World);
// Find support vertex on poly2 for -normal.
int32 index = 0;
float32 minDot = b2_maxFloat;
for (int32 i = 0; i < count2; ++i)
{
float32 dot = b2Dot(vertices2[i], normal1);
if (dot < minDot)
{
minDot = dot;
index = i;
}
}
b2Vec2 v1 = b2Mul(xf1, vertices1[edge1]);
b2Vec2 v2 = b2Mul(xf2, vertices2[index]);
float32 separation = b2Dot(v2 - v1, normal1World);
return separation;
}
// Find the max separation between poly1 and poly2 using edge normals from poly1.
static float32 b2FindMaxSeparation(int32* edgeIndex,
const b2PolygonShape* poly1, const b2Transform& xf1,
const b2PolygonShape* poly2, const b2Transform& xf2)
{
int32 count1 = poly1->m_vertexCount;
const b2Vec2* normals1 = poly1->m_normals;
// Vector pointing from the centroid of poly1 to the centroid of poly2.
b2Vec2 d = b2Mul(xf2, poly2->m_centroid) - b2Mul(xf1, poly1->m_centroid);
b2Vec2 dLocal1 = b2MulT(xf1.q, d);
// Find edge normal on poly1 that has the largest projection onto d.
int32 edge = 0;
float32 maxDot = -b2_maxFloat;
for (int32 i = 0; i < count1; ++i)
{
float32 dot = b2Dot(normals1[i], dLocal1);
if (dot > maxDot)
{
maxDot = dot;
edge = i;
}
}
// Get the separation for the edge normal.
float32 s = b2EdgeSeparation(poly1, xf1, edge, poly2, xf2);
// Check the separation for the previous edge normal.
int32 prevEdge = edge - 1 >= 0 ? edge - 1 : count1 - 1;
float32 sPrev = b2EdgeSeparation(poly1, xf1, prevEdge, poly2, xf2);
// Check the separation for the next edge normal.
int32 nextEdge = edge + 1 < count1 ? edge + 1 : 0;
float32 sNext = b2EdgeSeparation(poly1, xf1, nextEdge, poly2, xf2);
// Find the best edge and the search direction.
int32 bestEdge;
float32 bestSeparation;
int32 increment;
if (sPrev > s && sPrev > sNext)
{
increment = -1;
bestEdge = prevEdge;
bestSeparation = sPrev;
}
else if (sNext > s)
{
increment = 1;
bestEdge = nextEdge;
bestSeparation = sNext;
}
else
{
*edgeIndex = edge;
return s;
}
// Perform a local search for the best edge normal.
for ( ; ; )
{
if (increment == -1)
edge = bestEdge - 1 >= 0 ? bestEdge - 1 : count1 - 1;
else
edge = bestEdge + 1 < count1 ? bestEdge + 1 : 0;
s = b2EdgeSeparation(poly1, xf1, edge, poly2, xf2);
if (s > bestSeparation)
{
bestEdge = edge;
bestSeparation = s;
}
else
{
break;
}
}
*edgeIndex = bestEdge;
return bestSeparation;
}
static void b2FindIncidentEdge(b2ClipVertex c[2],
const b2PolygonShape* poly1, const b2Transform& xf1, int32 edge1,
const b2PolygonShape* poly2, const b2Transform& xf2)
{
const b2Vec2* normals1 = poly1->m_normals;
int32 count2 = poly2->m_vertexCount;
const b2Vec2* vertices2 = poly2->m_vertices;
const b2Vec2* normals2 = poly2->m_normals;
b2Assert(0 <= edge1 && edge1 < poly1->m_vertexCount);
// Get the normal of the reference edge in poly2's frame.
b2Vec2 normal1 = b2MulT(xf2.q, b2Mul(xf1.q, normals1[edge1]));
// Find the incident edge on poly2.
int32 index = 0;
float32 minDot = b2_maxFloat;
for (int32 i = 0; i < count2; ++i)
{
float32 dot = b2Dot(normal1, normals2[i]);
if (dot < minDot)
{
minDot = dot;
index = i;
}
}
// Build the clip vertices for the incident edge.
int32 i1 = index;
int32 i2 = i1 + 1 < count2 ? i1 + 1 : 0;
c[0].v = b2Mul(xf2, vertices2[i1]);
c[0].id.cf.indexA = (uint8)edge1;
c[0].id.cf.indexB = (uint8)i1;
c[0].id.cf.typeA = b2ContactFeature::e_face;
c[0].id.cf.typeB = b2ContactFeature::e_vertex;
c[1].v = b2Mul(xf2, vertices2[i2]);
c[1].id.cf.indexA = (uint8)edge1;
c[1].id.cf.indexB = (uint8)i2;
c[1].id.cf.typeA = b2ContactFeature::e_face;
c[1].id.cf.typeB = b2ContactFeature::e_vertex;
}
// Find edge normal of max separation on A - return if separating axis is found
// Find edge normal of max separation on B - return if separation axis is found
// Choose reference edge as min(minA, minB)
// Find incident edge
// Clip
// The normal points from 1 to 2
void b2CollidePolygons(b2Manifold* manifold,
const b2PolygonShape* polyA, const b2Transform& xfA,
const b2PolygonShape* polyB, const b2Transform& xfB)
{
manifold->pointCount = 0;
float32 totalRadius = polyA->m_radius + polyB->m_radius;
int32 edgeA = 0;
float32 separationA = b2FindMaxSeparation(&edgeA, polyA, xfA, polyB, xfB);
if (separationA > totalRadius)
return;
int32 edgeB = 0;
float32 separationB = b2FindMaxSeparation(&edgeB, polyB, xfB, polyA, xfA);
if (separationB > totalRadius)
return;
const b2PolygonShape* poly1; // reference polygon
const b2PolygonShape* poly2; // incident polygon
b2Transform xf1, xf2;
int32 edge1; // reference edge
uint8 flip;
const float32 k_relativeTol = 0.98f;
const float32 k_absoluteTol = 0.001f;
if (separationB > k_relativeTol * separationA + k_absoluteTol)
{
poly1 = polyB;
poly2 = polyA;
xf1 = xfB;
xf2 = xfA;
edge1 = edgeB;
manifold->type = b2Manifold::e_faceB;
flip = 1;
}
else
{
poly1 = polyA;
poly2 = polyB;
xf1 = xfA;
xf2 = xfB;
edge1 = edgeA;
manifold->type = b2Manifold::e_faceA;
flip = 0;
}
b2ClipVertex incidentEdge[2];
b2FindIncidentEdge(incidentEdge, poly1, xf1, edge1, poly2, xf2);
int32 count1 = poly1->m_vertexCount;
const b2Vec2* vertices1 = poly1->m_vertices;
int32 iv1 = edge1;
int32 iv2 = edge1 + 1 < count1 ? edge1 + 1 : 0;
b2Vec2 v11 = vertices1[iv1];
b2Vec2 v12 = vertices1[iv2];
b2Vec2 localTangent = v12 - v11;
localTangent.Normalize();
b2Vec2 localNormal = b2Cross(localTangent, 1.0f);
b2Vec2 planePoint = 0.5f * (v11 + v12);
b2Vec2 tangent = b2Mul(xf1.q, localTangent);
b2Vec2 normal = b2Cross(tangent, 1.0f);
v11 = b2Mul(xf1, v11);
v12 = b2Mul(xf1, v12);
// Face offset.
float32 frontOffset = b2Dot(normal, v11);
// Side offsets, extended by polytope skin thickness.
float32 sideOffset1 = -b2Dot(tangent, v11) + totalRadius;
float32 sideOffset2 = b2Dot(tangent, v12) + totalRadius;
// Clip incident edge against extruded edge1 side edges.
b2ClipVertex clipPoints1[2];
b2ClipVertex clipPoints2[2];
int np;
// Clip to box side 1
np = b2ClipSegmentToLine(clipPoints1, incidentEdge, -tangent, sideOffset1, iv1);
if (np < 2)
return;
// Clip to negative box side 1
np = b2ClipSegmentToLine(clipPoints2, clipPoints1, tangent, sideOffset2, iv2);
if (np < 2)
{
return;
}
// Now clipPoints2 contains the clipped points.
manifold->localNormal = localNormal;
manifold->localPoint = planePoint;
int32 pointCount = 0;
for (int32 i = 0; i < b2_maxManifoldPoints; ++i)
{
float32 separation = b2Dot(normal, clipPoints2[i].v) - frontOffset;
if (separation <= totalRadius)
{
b2ManifoldPoint* cp = manifold->points + pointCount;
cp->localPoint = b2MulT(xf2, clipPoints2[i].v);
cp->id = clipPoints2[i].id;
if (flip)
{
// Swap features
b2ContactFeature cf = cp->id.cf;
cp->id.cf.indexA = cf.indexB;
cp->id.cf.indexB = cf.indexA;
cp->id.cf.typeA = cf.typeB;
cp->id.cf.typeB = cf.typeA;
}
++pointCount;
}
}
manifold->pointCount = pointCount;
}

498
deps/juce/modules/juce_box2d/box2d/Collision/b2Collision.cpp vendored
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@ -1,249 +1,249 @@
/*
* Copyright (c) 2007-2009 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.
*/
#include "b2Collision.h"
#include "b2Distance.h"
void b2WorldManifold::Initialize(const b2Manifold* manifold,
const b2Transform& xfA, float32 radiusA,
const b2Transform& xfB, float32 radiusB)
{
if (manifold->pointCount == 0)
{
return;
}
switch (manifold->type)
{
case b2Manifold::e_circles:
{
normal.Set(1.0f, 0.0f);
b2Vec2 pointA = b2Mul(xfA, manifold->localPoint);
b2Vec2 pointB = b2Mul(xfB, manifold->points[0].localPoint);
if (b2DistanceSquared(pointA, pointB) > b2_epsilon * b2_epsilon)
{
normal = pointB - pointA;
normal.Normalize();
}
b2Vec2 cA = pointA + radiusA * normal;
b2Vec2 cB = pointB - radiusB * normal;
points[0] = 0.5f * (cA + cB);
}
break;
case b2Manifold::e_faceA:
{
normal = b2Mul(xfA.q, manifold->localNormal);
b2Vec2 planePoint = b2Mul(xfA, manifold->localPoint);
for (int32 i = 0; i < manifold->pointCount; ++i)
{
b2Vec2 clipPoint = b2Mul(xfB, manifold->points[i].localPoint);
b2Vec2 cA = clipPoint + (radiusA - b2Dot(clipPoint - planePoint, normal)) * normal;
b2Vec2 cB = clipPoint - radiusB * normal;
points[i] = 0.5f * (cA + cB);
}
}
break;
case b2Manifold::e_faceB:
{
normal = b2Mul(xfB.q, manifold->localNormal);
b2Vec2 planePoint = b2Mul(xfB, manifold->localPoint);
for (int32 i = 0; i < manifold->pointCount; ++i)
{
b2Vec2 clipPoint = b2Mul(xfA, manifold->points[i].localPoint);
b2Vec2 cB = clipPoint + (radiusB - b2Dot(clipPoint - planePoint, normal)) * normal;
b2Vec2 cA = clipPoint - radiusA * normal;
points[i] = 0.5f * (cA + cB);
}
// Ensure normal points from A to B.
normal = -normal;
}
break;
}
}
void b2GetPointStates(b2PointState state1[b2_maxManifoldPoints], b2PointState state2[b2_maxManifoldPoints],
const b2Manifold* manifold1, const b2Manifold* manifold2)
{
for (int32 i = 0; i < b2_maxManifoldPoints; ++i)
{
state1[i] = b2_nullState;
state2[i] = b2_nullState;
}
// Detect persists and removes.
for (int32 i = 0; i < manifold1->pointCount; ++i)
{
b2ContactID id = manifold1->points[i].id;
state1[i] = b2_removeState;
for (int32 j = 0; j < manifold2->pointCount; ++j)
{
if (manifold2->points[j].id.key == id.key)
{
state1[i] = b2_persistState;
break;
}
}
}
// Detect persists and adds.
for (int32 i = 0; i < manifold2->pointCount; ++i)
{
b2ContactID id = manifold2->points[i].id;
state2[i] = b2_addState;
for (int32 j = 0; j < manifold1->pointCount; ++j)
{
if (manifold1->points[j].id.key == id.key)
{
state2[i] = b2_persistState;
break;
}
}
}
}
// From Real-time Collision Detection, p179.
bool b2AABB::RayCast(b2RayCastOutput* output, const b2RayCastInput& input) const
{
float32 tmin = -b2_maxFloat;
float32 tmax = b2_maxFloat;
b2Vec2 p = input.p1;
b2Vec2 d = input.p2 - input.p1;
b2Vec2 absD = b2Abs(d);
b2Vec2 normal;
for (int32 i = 0; i < 2; ++i)
{
if (absD(i) < b2_epsilon)
{
// Parallel.
if (p(i) < lowerBound(i) || upperBound(i) < p(i))
{
return false;
}
}
else
{
float32 inv_d = 1.0f / d(i);
float32 t1 = (lowerBound(i) - p(i)) * inv_d;
float32 t2 = (upperBound(i) - p(i)) * inv_d;
// Sign of the normal vector.
float32 s = -1.0f;
if (t1 > t2)
{
b2Swap(t1, t2);
s = 1.0f;
}
// Push the min up
if (t1 > tmin)
{
normal.SetZero();
normal(i) = s;
tmin = t1;
}
// Pull the max down
tmax = b2Min(tmax, t2);
if (tmin > tmax)
{
return false;
}
}
}
// Does the ray start inside the box?
// Does the ray intersect beyond the max fraction?
if (tmin < 0.0f || input.maxFraction < tmin)
{
return false;
}
// Intersection.
output->fraction = tmin;
output->normal = normal;
return true;
}
// Sutherland-Hodgman clipping.
int32 b2ClipSegmentToLine(b2ClipVertex vOut[2], const b2ClipVertex vIn[2],
const b2Vec2& normal, float32 offset, int32 vertexIndexA)
{
// Start with no output points
int32 numOut = 0;
// Calculate the distance of end points to the line
float32 distance0 = b2Dot(normal, vIn[0].v) - offset;
float32 distance1 = b2Dot(normal, vIn[1].v) - offset;
// If the points are behind the plane
if (distance0 <= 0.0f) vOut[numOut++] = vIn[0];
if (distance1 <= 0.0f) vOut[numOut++] = vIn[1];
// If the points are on different sides of the plane
if (distance0 * distance1 < 0.0f)
{
// Find intersection point of edge and plane
float32 interp = distance0 / (distance0 - distance1);
vOut[numOut].v = vIn[0].v + interp * (vIn[1].v - vIn[0].v);
// VertexA is hitting edgeB.
vOut[numOut].id.cf.indexA = (uint8) vertexIndexA;
vOut[numOut].id.cf.indexB = vIn[0].id.cf.indexB;
vOut[numOut].id.cf.typeA = b2ContactFeature::e_vertex;
vOut[numOut].id.cf.typeB = b2ContactFeature::e_face;
++numOut;
}
return numOut;
}
bool b2TestOverlap( const b2Shape* shapeA, int32 indexA,
const b2Shape* shapeB, int32 indexB,
const b2Transform& xfA, const b2Transform& xfB)
{
b2DistanceInput input;
input.proxyA.Set(shapeA, indexA);
input.proxyB.Set(shapeB, indexB);
input.transformA = xfA;
input.transformB = xfB;
input.useRadii = true;
b2SimplexCache cache;
cache.count = 0;
b2DistanceOutput output;
b2Distance(&output, &cache, &input);
return output.distance < 10.0f * b2_epsilon;
}
/*
* Copyright (c) 2007-2009 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.
*/
#include "b2Collision.h"
#include "b2Distance.h"
void b2WorldManifold::Initialize(const b2Manifold* manifold,
const b2Transform& xfA, float32 radiusA,
const b2Transform& xfB, float32 radiusB)
{
if (manifold->pointCount == 0)
{
return;
}
switch (manifold->type)
{
case b2Manifold::e_circles:
{
normal.Set(1.0f, 0.0f);
b2Vec2 pointA = b2Mul(xfA, manifold->localPoint);
b2Vec2 pointB = b2Mul(xfB, manifold->points[0].localPoint);
if (b2DistanceSquared(pointA, pointB) > b2_epsilon * b2_epsilon)
{
normal = pointB - pointA;
normal.Normalize();
}
b2Vec2 cA = pointA + radiusA * normal;
b2Vec2 cB = pointB - radiusB * normal;
points[0] = 0.5f * (cA + cB);
}
break;
case b2Manifold::e_faceA:
{
normal = b2Mul(xfA.q, manifold->localNormal);
b2Vec2 planePoint = b2Mul(xfA, manifold->localPoint);
for (int32 i = 0; i < manifold->pointCount; ++i)
{
b2Vec2 clipPoint = b2Mul(xfB, manifold->points[i].localPoint);
b2Vec2 cA = clipPoint + (radiusA - b2Dot(clipPoint - planePoint, normal)) * normal;
b2Vec2 cB = clipPoint - radiusB * normal;
points[i] = 0.5f * (cA + cB);
}
}
break;
case b2Manifold::e_faceB:
{
normal = b2Mul(xfB.q, manifold->localNormal);
b2Vec2 planePoint = b2Mul(xfB, manifold->localPoint);
for (int32 i = 0; i < manifold->pointCount; ++i)
{
b2Vec2 clipPoint = b2Mul(xfA, manifold->points[i].localPoint);
b2Vec2 cB = clipPoint + (radiusB - b2Dot(clipPoint - planePoint, normal)) * normal;
b2Vec2 cA = clipPoint - radiusA * normal;
points[i] = 0.5f * (cA + cB);
}
// Ensure normal points from A to B.
normal = -normal;
}
break;
}
}
void b2GetPointStates(b2PointState state1[b2_maxManifoldPoints], b2PointState state2[b2_maxManifoldPoints],
const b2Manifold* manifold1, const b2Manifold* manifold2)
{
for (int32 i = 0; i < b2_maxManifoldPoints; ++i)
{
state1[i] = b2_nullState;
state2[i] = b2_nullState;
}
// Detect persists and removes.
for (int32 i = 0; i < manifold1->pointCount; ++i)
{
b2ContactID id = manifold1->points[i].id;
state1[i] = b2_removeState;
for (int32 j = 0; j < manifold2->pointCount; ++j)
{
if (manifold2->points[j].id.key == id.key)
{
state1[i] = b2_persistState;
break;
}
}
}
// Detect persists and adds.
for (int32 i = 0; i < manifold2->pointCount; ++i)
{
b2ContactID id = manifold2->points[i].id;
state2[i] = b2_addState;
for (int32 j = 0; j < manifold1->pointCount; ++j)
{
if (manifold1->points[j].id.key == id.key)
{
state2[i] = b2_persistState;
break;
}
}
}
}
// From Real-time Collision Detection, p179.
bool b2AABB::RayCast(b2RayCastOutput* output, const b2RayCastInput& input) const
{
float32 tmin = -b2_maxFloat;
float32 tmax = b2_maxFloat;
b2Vec2 p = input.p1;
b2Vec2 d = input.p2 - input.p1;
b2Vec2 absD = b2Abs(d);
b2Vec2 normal;
for (int32 i = 0; i < 2; ++i)
{
if (absD(i) < b2_epsilon)
{
// Parallel.
if (p(i) < lowerBound(i) || upperBound(i) < p(i))
{
return false;
}
}
else
{
float32 inv_d = 1.0f / d(i);
float32 t1 = (lowerBound(i) - p(i)) * inv_d;
float32 t2 = (upperBound(i) - p(i)) * inv_d;
// Sign of the normal vector.
float32 s = -1.0f;
if (t1 > t2)
{
b2Swap(t1, t2);
s = 1.0f;
}
// Push the min up
if (t1 > tmin)
{
normal.SetZero();
normal(i) = s;
tmin = t1;
}
// Pull the max down
tmax = b2Min(tmax, t2);
if (tmin > tmax)
{
return false;
}
}
}
// Does the ray start inside the box?
// Does the ray intersect beyond the max fraction?
if (tmin < 0.0f || input.maxFraction < tmin)
{
return false;
}
// Intersection.
output->fraction = tmin;
output->normal = normal;
return true;
}
// Sutherland-Hodgman clipping.
int32 b2ClipSegmentToLine(b2ClipVertex vOut[2], const b2ClipVertex vIn[2],
const b2Vec2& normal, float32 offset, int32 vertexIndexA)
{
// Start with no output points
int32 numOut = 0;
// Calculate the distance of end points to the line
float32 distance0 = b2Dot(normal, vIn[0].v) - offset;
float32 distance1 = b2Dot(normal, vIn[1].v) - offset;
// If the points are behind the plane
if (distance0 <= 0.0f) vOut[numOut++] = vIn[0];
if (distance1 <= 0.0f) vOut[numOut++] = vIn[1];
// If the points are on different sides of the plane
if (distance0 * distance1 < 0.0f)
{
// Find intersection point of edge and plane
float32 interp = distance0 / (distance0 - distance1);
vOut[numOut].v = vIn[0].v + interp * (vIn[1].v - vIn[0].v);
// VertexA is hitting edgeB.
vOut[numOut].id.cf.indexA = (uint8) vertexIndexA;
vOut[numOut].id.cf.indexB = vIn[0].id.cf.indexB;
vOut[numOut].id.cf.typeA = b2ContactFeature::e_vertex;
vOut[numOut].id.cf.typeB = b2ContactFeature::e_face;
++numOut;
}
return numOut;
}
bool b2TestOverlap( const b2Shape* shapeA, int32 indexA,
const b2Shape* shapeB, int32 indexB,
const b2Transform& xfA, const b2Transform& xfB)
{
b2DistanceInput input;
input.proxyA.Set(shapeA, indexA);
input.proxyB.Set(shapeB, indexB);
input.transformA = xfA;
input.transformB = xfB;
input.useRadii = true;
b2SimplexCache cache;
cache.count = 0;
b2DistanceOutput output;
b2Distance(&output, &cache, &input);
return output.distance < 10.0f * b2_epsilon;
}

550
deps/juce/modules/juce_box2d/box2d/Collision/b2Collision.h vendored
View File

@ -1,275 +1,275 @@
/*
* 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 "../Common/b2Math.h"
/// @file
/// Structures and functions used for computing contact points, distance
/// queries, and TOI queries.
class b2Shape;
class b2CircleShape;
class b2EdgeShape;
class b2PolygonShape;
const juce::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
};
juce::uint8 indexA; ///< Feature index on shapeA
juce::uint8 indexB; ///< Feature index on shapeB
juce::uint8 typeA; ///< The feature type on shapeA
juce::uint8 typeB; ///< The feature type on shapeB
};
/// Contact ids to facilitate warm starting.
union b2ContactID
{
b2ContactFeature cf;
juce::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;
juce::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)
};
/// 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.
juce::int32 b2ClipSegmentToLine(b2ClipVertex vOut[2], const b2ClipVertex vIn[2],
const b2Vec2& normal, float32 offset, juce::int32 vertexIndexA);
/// Determine if two generic shapes overlap.
bool b2TestOverlap( const b2Shape* shapeA, juce::int32 indexA,
const b2Shape* shapeB, juce::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
/*
* 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 "../Common/b2Math.h"
/// @file
/// Structures and functions used for computing contact points, distance
/// queries, and TOI queries.
class b2Shape;
class b2CircleShape;
class b2EdgeShape;
class b2PolygonShape;
const juce::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
};
juce::uint8 indexA; ///< Feature index on shapeA
juce::uint8 indexB; ///< Feature index on shapeB
juce::uint8 typeA; ///< The feature type on shapeA
juce::uint8 typeB; ///< The feature type on shapeB
};
/// Contact ids to facilitate warm starting.
union b2ContactID
{
b2ContactFeature cf;
juce::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;
juce::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)
};
/// 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.
juce::int32 b2ClipSegmentToLine(b2ClipVertex vOut[2], const b2ClipVertex vIn[2],
const b2Vec2& normal, float32 offset, juce::int32 vertexIndexA);
/// Determine if two generic shapes overlap.
bool b2TestOverlap( const b2Shape* shapeA, juce::int32 indexA,
const b2Shape* shapeB, juce::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 "../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, juce::int32 index);
/// Get the supporting vertex index in the given direction.
juce::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.
juce::int32 GetVertexCount() const;
/// Get a vertex by index. Used by b2Distance.
const b2Vec2& GetVertex(juce::int32 index) const;
b2Vec2 m_buffer[2];
const b2Vec2* m_vertices;
juce::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
juce::uint16 count;
juce::uint8 indexA[3]; ///< vertices on shape A
juce::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;
juce::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 juce::int32 b2DistanceProxy::GetVertexCount() const
{
return m_count;
}
inline const b2Vec2& b2DistanceProxy::GetVertex(juce::int32 index) const
{
b2Assert(0 <= index && index < m_count);
return m_vertices[index];
}
inline juce::int32 b2DistanceProxy::GetSupport(const b2Vec2& d) const
{
juce::int32 bestIndex = 0;
float32 bestValue = b2Dot(m_vertices[0], d);
for (juce::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
{
juce::int32 bestIndex = 0;
float32 bestValue = b2Dot(m_vertices[0], d);
for (juce::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
/*
* 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 "../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, juce::int32 index);
/// Get the supporting vertex index in the given direction.
juce::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.
juce::int32 GetVertexCount() const;
/// Get a vertex by index. Used by b2Distance.
const b2Vec2& GetVertex(juce::int32 index) const;
b2Vec2 m_buffer[2];
const b2Vec2* m_vertices;
juce::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
juce::uint16 count;
juce::uint8 indexA[3]; ///< vertices on shape A
juce::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;
juce::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 juce::int32 b2DistanceProxy::GetVertexCount() const
{
return m_count;
}
inline const b2Vec2& b2DistanceProxy::GetVertex(juce::int32 index) const
{
b2Assert(0 <= index && index < m_count);
return m_vertices[index];
}
inline juce::int32 b2DistanceProxy::GetSupport(const b2Vec2& d) const
{
juce::int32 bestIndex = 0;
float32 bestValue = b2Dot(m_vertices[0], d);
for (juce::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
{
juce::int32 bestIndex = 0;
float32 bestValue = b2Dot(m_vertices[0], d);
for (juce::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 "b2Collision.h"
#include "../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
{
juce::int32 parent;
juce::int32 next;
};
juce::int32 child1;
juce::int32 child2;
// leaf = 0, free node = -1
juce::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.
juce::int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. This asserts if the id is invalid.
void DestroyProxy(juce::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(juce::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(juce::int32 proxyId) const;
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(juce::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.
juce::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.
juce::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();
private:
juce::int32 AllocateNode();
void FreeNode(juce::int32 node);
void InsertLeaf(juce::int32 node);
void RemoveLeaf(juce::int32 node);
juce::int32 Balance(juce::int32 index);
juce::int32 ComputeHeight() const;
juce::int32 ComputeHeight(juce::int32 nodeId) const;
void ValidateStructure(juce::int32 index) const;
void ValidateMetrics(juce::int32 index) const;
juce::int32 m_root;
b2TreeNode* m_nodes;
juce::int32 m_nodeCount;
juce::int32 m_nodeCapacity;
juce::int32 m_freeList;
/// This is used to incrementally traverse the tree for re-balancing.
juce::uint32 m_path;
juce::int32 m_insertionCount;
};
inline void* b2DynamicTree::GetUserData(juce::int32 proxyId) const
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
return m_nodes[proxyId].userData;
}
inline const b2AABB& b2DynamicTree::GetFatAABB(juce::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<juce::int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
juce::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<juce::int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
juce::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
/*
* 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 "b2Collision.h"
#include "../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
{
juce::int32 parent;
juce::int32 next;
};
juce::int32 child1;
juce::int32 child2;
// leaf = 0, free node = -1
juce::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.
juce::int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. This asserts if the id is invalid.
void DestroyProxy(juce::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(juce::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(juce::int32 proxyId) const;
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(juce::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.
juce::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.
juce::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();
private:
juce::int32 AllocateNode();
void FreeNode(juce::int32 node);
void InsertLeaf(juce::int32 node);
void RemoveLeaf(juce::int32 node);
juce::int32 Balance(juce::int32 index);
juce::int32 ComputeHeight() const;
juce::int32 ComputeHeight(juce::int32 nodeId) const;
void ValidateStructure(juce::int32 index) const;
void ValidateMetrics(juce::int32 index) const;
juce::int32 m_root;
b2TreeNode* m_nodes;
juce::int32 m_nodeCount;
juce::int32 m_nodeCapacity;
juce::int32 m_freeList;
/// This is used to incrementally traverse the tree for re-balancing.
juce::uint32 m_path;
juce::int32 m_insertionCount;
};
inline void* b2DynamicTree::GetUserData(juce::int32 proxyId) const
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
return m_nodes[proxyId].userData;
}
inline const b2AABB& b2DynamicTree::GetFatAABB(juce::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<juce::int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
juce::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<juce::int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
juce::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

952
deps/juce/modules/juce_box2d/box2d/Collision/b2TimeOfImpact.cpp vendored
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@ -1,476 +1,476 @@
/*
* Copyright (c) 2007-2009 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.
*/
#include "b2Collision.h"
#include "b2Distance.h"
#include "b2TimeOfImpact.h"
#include "Shapes/b2CircleShape.h"
#include "Shapes/b2PolygonShape.h"
#include <cstdio>
using namespace std;
int32 b2_toiCalls, b2_toiIters, b2_toiMaxIters;
int32 b2_toiRootIters, b2_toiMaxRootIters;
struct b2SeparationFunction
{
enum Type
{
e_points,
e_faceA,
e_faceB
};
// TODO_ERIN might not need to return the separation
float32 Initialize(const b2SimplexCache* cache,
const b2DistanceProxy* proxyA, const b2Sweep& sweepA,
const b2DistanceProxy* proxyB, const b2Sweep& sweepB,
float32 t1)
{
m_proxyA = proxyA;
m_proxyB = proxyB;
int32 count = cache->count;
b2Assert(0 < count && count < 3);
m_sweepA = sweepA;
m_sweepB = sweepB;
b2Transform xfA, xfB;
m_sweepA.GetTransform(&xfA, t1);
m_sweepB.GetTransform(&xfB, t1);
if (count == 1)
{
m_type = e_points;
b2Vec2 localPointA = m_proxyA->GetVertex(cache->indexA[0]);
b2Vec2 localPointB = m_proxyB->GetVertex(cache->indexB[0]);
b2Vec2 pointA = b2Mul(xfA, localPointA);
b2Vec2 pointB = b2Mul(xfB, localPointB);
m_axis = pointB - pointA;
float32 s = m_axis.Normalize();
return s;
}
else if (cache->indexA[0] == cache->indexA[1])
{
// Two points on B and one on A.
m_type = e_faceB;
b2Vec2 localPointB1 = proxyB->GetVertex(cache->indexB[0]);
b2Vec2 localPointB2 = proxyB->GetVertex(cache->indexB[1]);
m_axis = b2Cross(localPointB2 - localPointB1, 1.0f);
m_axis.Normalize();
b2Vec2 normal = b2Mul(xfB.q, m_axis);
m_localPoint = 0.5f * (localPointB1 + localPointB2);
b2Vec2 pointB = b2Mul(xfB, m_localPoint);
b2Vec2 localPointA = proxyA->GetVertex(cache->indexA[0]);
b2Vec2 pointA = b2Mul(xfA, localPointA);
float32 s = b2Dot(pointA - pointB, normal);
if (s < 0.0f)
{
m_axis = -m_axis;
s = -s;
}
return s;
}
else
{
// Two points on A and one or two points on B.
m_type = e_faceA;
b2Vec2 localPointA1 = m_proxyA->GetVertex(cache->indexA[0]);
b2Vec2 localPointA2 = m_proxyA->GetVertex(cache->indexA[1]);
m_axis = b2Cross(localPointA2 - localPointA1, 1.0f);
m_axis.Normalize();
b2Vec2 normal = b2Mul(xfA.q, m_axis);
m_localPoint = 0.5f * (localPointA1 + localPointA2);
b2Vec2 pointA = b2Mul(xfA, m_localPoint);
b2Vec2 localPointB = m_proxyB->GetVertex(cache->indexB[0]);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 s = b2Dot(pointB - pointA, normal);
if (s < 0.0f)
{
m_axis = -m_axis;
s = -s;
}
return s;
}
}
float32 FindMinSeparation(int32* indexA, int32* indexB, float32 t) const
{
b2Transform xfA, xfB;
m_sweepA.GetTransform(&xfA, t);
m_sweepB.GetTransform(&xfB, t);
switch (m_type)
{
case e_points:
{
b2Vec2 axisA = b2MulT(xfA.q, m_axis);
b2Vec2 axisB = b2MulT(xfB.q, -m_axis);
*indexA = m_proxyA->GetSupport(axisA);
*indexB = m_proxyB->GetSupport(axisB);
b2Vec2 localPointA = m_proxyA->GetVertex(*indexA);
b2Vec2 localPointB = m_proxyB->GetVertex(*indexB);
b2Vec2 pointA = b2Mul(xfA, localPointA);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, m_axis);
return separation;
}
case e_faceA:
{
b2Vec2 normal = b2Mul(xfA.q, m_axis);
b2Vec2 pointA = b2Mul(xfA, m_localPoint);
b2Vec2 axisB = b2MulT(xfB.q, -normal);
*indexA = -1;
*indexB = m_proxyB->GetSupport(axisB);
b2Vec2 localPointB = m_proxyB->GetVertex(*indexB);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, normal);
return separation;
}
case e_faceB:
{
b2Vec2 normal = b2Mul(xfB.q, m_axis);
b2Vec2 pointB = b2Mul(xfB, m_localPoint);
b2Vec2 axisA = b2MulT(xfA.q, -normal);
*indexB = -1;
*indexA = m_proxyA->GetSupport(axisA);
b2Vec2 localPointA = m_proxyA->GetVertex(*indexA);
b2Vec2 pointA = b2Mul(xfA, localPointA);
float32 separation = b2Dot(pointA - pointB, normal);
return separation;
}
default:
b2Assert(false);
*indexA = -1;
*indexB = -1;
return 0.0f;
}
}
float32 Evaluate(int32 indexA, int32 indexB, float32 t) const
{
b2Transform xfA, xfB;
m_sweepA.GetTransform(&xfA, t);
m_sweepB.GetTransform(&xfB, t);
switch (m_type)
{
case e_points:
{
b2Vec2 localPointA = m_proxyA->GetVertex(indexA);
b2Vec2 localPointB = m_proxyB->GetVertex(indexB);
b2Vec2 pointA = b2Mul(xfA, localPointA);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, m_axis);
return separation;
}
case e_faceA:
{
b2Vec2 normal = b2Mul(xfA.q, m_axis);
b2Vec2 pointA = b2Mul(xfA, m_localPoint);
b2Vec2 localPointB = m_proxyB->GetVertex(indexB);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, normal);
return separation;
}
case e_faceB:
{
b2Vec2 normal = b2Mul(xfB.q, m_axis);
b2Vec2 pointB = b2Mul(xfB, m_localPoint);
b2Vec2 localPointA = m_proxyA->GetVertex(indexA);
b2Vec2 pointA = b2Mul(xfA, localPointA);
float32 separation = b2Dot(pointA - pointB, normal);
return separation;
}
default:
b2Assert(false);
return 0.0f;
}
}
const b2DistanceProxy* m_proxyA;
const b2DistanceProxy* m_proxyB;
b2Sweep m_sweepA, m_sweepB;
Type m_type;
b2Vec2 m_localPoint;
b2Vec2 m_axis;
};
// CCD via the local separating axis method. This seeks progression
// by computing the largest time at which separation is maintained.
void b2TimeOfImpact(b2TOIOutput* output, const b2TOIInput* input)
{
++b2_toiCalls;
output->state = b2TOIOutput::e_unknown;
output->t = input->tMax;
const b2DistanceProxy* proxyA = &input->proxyA;
const b2DistanceProxy* proxyB = &input->proxyB;
b2Sweep sweepA = input->sweepA;
b2Sweep sweepB = input->sweepB;
// Large rotations can make the root finder fail, so we normalize the
// sweep angles.
sweepA.Normalize();
sweepB.Normalize();
float32 tMax = input->tMax;
float32 totalRadius = proxyA->m_radius + proxyB->m_radius;
float32 target = b2Max(b2_linearSlop, totalRadius - 3.0f * b2_linearSlop);
float32 tolerance = 0.25f * b2_linearSlop;
b2Assert(target > tolerance);
float32 t1 = 0.0f;
const int32 k_maxIterations = 20; // TODO_ERIN b2Settings
int32 iter = 0;
// Prepare input for distance query.
b2SimplexCache cache;
cache.count = 0;
b2DistanceInput distanceInput;
distanceInput.proxyA = input->proxyA;
distanceInput.proxyB = input->proxyB;
distanceInput.useRadii = false;
// The outer loop progressively attempts to compute new separating axes.
// This loop terminates when an axis is repeated (no progress is made).
for(;;)
{
b2Transform xfA, xfB;
sweepA.GetTransform(&xfA, t1);
sweepB.GetTransform(&xfB, t1);
// Get the distance between shapes. We can also use the results
// to get a separating axis.
distanceInput.transformA = xfA;
distanceInput.transformB = xfB;
b2DistanceOutput distanceOutput;
b2Distance(&distanceOutput, &cache, &distanceInput);
// If the shapes are overlapped, we give up on continuous collision.
if (distanceOutput.distance <= 0.0f)
{
// Failure!
output->state = b2TOIOutput::e_overlapped;
output->t = 0.0f;
break;
}
if (distanceOutput.distance < target + tolerance)
{
// Victory!
output->state = b2TOIOutput::e_touching;
output->t = t1;
break;
}
// Initialize the separating axis.
b2SeparationFunction fcn;
fcn.Initialize(&cache, proxyA, sweepA, proxyB, sweepB, t1);
#if 0
// Dump the curve seen by the root finder
{
const int32 N = 100;
float32 dx = 1.0f / N;
float32 xs[N+1];
float32 fs[N+1];
float32 x = 0.0f;
for (int32 i = 0; i <= N; ++i)
{
sweepA.GetTransform(&xfA, x);
sweepB.GetTransform(&xfB, x);
float32 f = fcn.Evaluate(xfA, xfB) - target;
printf("%g %g\n", x, f);
xs[i] = x;
fs[i] = f;
x += dx;
}
}
#endif
// Compute the TOI on the separating axis. We do this by successively
// resolving the deepest point. This loop is bounded by the number of vertices.
bool done = false;
float32 t2 = tMax;
int32 pushBackIter = 0;
for (;;)
{
// Find the deepest point at t2. Store the witness point indices.
int32 indexA, indexB;
float32 s2 = fcn.FindMinSeparation(&indexA, &indexB, t2);
// Is the final configuration separated?
if (s2 > target + tolerance)
{
// Victory!
output->state = b2TOIOutput::e_separated;
output->t = tMax;
done = true;
break;
}
// Has the separation reached tolerance?
if (s2 > target - tolerance)
{
// Advance the sweeps
t1 = t2;
break;
}
// Compute the initial separation of the witness points.
float32 s1 = fcn.Evaluate(indexA, indexB, t1);
// Check for initial overlap. This might happen if the root finder
// runs out of iterations.
if (s1 < target - tolerance)
{
output->state = b2TOIOutput::e_failed;
output->t = t1;
done = true;
break;
}
// Check for touching
if (s1 <= target + tolerance)
{
// Victory! t1 should hold the TOI (could be 0.0).
output->state = b2TOIOutput::e_touching;
output->t = t1;
done = true;
break;
}
// Compute 1D root of: f(x) - target = 0
int32 rootIterCount = 0;
float32 a1 = t1, a2 = t2;
for (;;)
{
// Use a mix of the secant rule and bisection.
float32 t;
if (rootIterCount & 1)
{
// Secant rule to improve convergence.
t = a1 + (target - s1) * (a2 - a1) / (s2 - s1);
}
else
{
// Bisection to guarantee progress.
t = 0.5f * (a1 + a2);
}
float32 s = fcn.Evaluate(indexA, indexB, t);
if (b2Abs(s - target) < tolerance)
{
// t2 holds a tentative value for t1
t2 = t;
break;
}
// Ensure we continue to bracket the root.
if (s > target)
{
a1 = t;
s1 = s;
}
else
{
a2 = t;
s2 = s;
}
++rootIterCount;
++b2_toiRootIters;
if (rootIterCount == 50)
{
break;
}
}
b2_toiMaxRootIters = b2Max(b2_toiMaxRootIters, rootIterCount);
++pushBackIter;
if (pushBackIter == b2_maxPolygonVertices)
{
break;
}
}
++iter;
++b2_toiIters;
if (done)
{
break;
}
if (iter == k_maxIterations)
{
// Root finder got stuck. Semi-victory.
output->state = b2TOIOutput::e_failed;
output->t = t1;
break;
}
}
b2_toiMaxIters = b2Max(b2_toiMaxIters, iter);
}
/*
* Copyright (c) 2007-2009 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.
*/
#include "b2Collision.h"
#include "b2Distance.h"
#include "b2TimeOfImpact.h"
#include "Shapes/b2CircleShape.h"
#include "Shapes/b2PolygonShape.h"
#include <cstdio>
using namespace std;
int32 b2_toiCalls, b2_toiIters, b2_toiMaxIters;
int32 b2_toiRootIters, b2_toiMaxRootIters;
struct b2SeparationFunction
{
enum Type
{
e_points,
e_faceA,
e_faceB
};
// TODO_ERIN might not need to return the separation
float32 Initialize(const b2SimplexCache* cache,
const b2DistanceProxy* proxyA, const b2Sweep& sweepA,
const b2DistanceProxy* proxyB, const b2Sweep& sweepB,
float32 t1)
{
m_proxyA = proxyA;
m_proxyB = proxyB;
int32 count = cache->count;
b2Assert(0 < count && count < 3);
m_sweepA = sweepA;
m_sweepB = sweepB;
b2Transform xfA, xfB;
m_sweepA.GetTransform(&xfA, t1);
m_sweepB.GetTransform(&xfB, t1);
if (count == 1)
{
m_type = e_points;
b2Vec2 localPointA = m_proxyA->GetVertex(cache->indexA[0]);
b2Vec2 localPointB = m_proxyB->GetVertex(cache->indexB[0]);
b2Vec2 pointA = b2Mul(xfA, localPointA);
b2Vec2 pointB = b2Mul(xfB, localPointB);
m_axis = pointB - pointA;
float32 s = m_axis.Normalize();
return s;
}
else if (cache->indexA[0] == cache->indexA[1])
{
// Two points on B and one on A.
m_type = e_faceB;
b2Vec2 localPointB1 = proxyB->GetVertex(cache->indexB[0]);
b2Vec2 localPointB2 = proxyB->GetVertex(cache->indexB[1]);
m_axis = b2Cross(localPointB2 - localPointB1, 1.0f);
m_axis.Normalize();
b2Vec2 normal = b2Mul(xfB.q, m_axis);
m_localPoint = 0.5f * (localPointB1 + localPointB2);
b2Vec2 pointB = b2Mul(xfB, m_localPoint);
b2Vec2 localPointA = proxyA->GetVertex(cache->indexA[0]);
b2Vec2 pointA = b2Mul(xfA, localPointA);
float32 s = b2Dot(pointA - pointB, normal);
if (s < 0.0f)
{
m_axis = -m_axis;
s = -s;
}
return s;
}
else
{
// Two points on A and one or two points on B.
m_type = e_faceA;
b2Vec2 localPointA1 = m_proxyA->GetVertex(cache->indexA[0]);
b2Vec2 localPointA2 = m_proxyA->GetVertex(cache->indexA[1]);
m_axis = b2Cross(localPointA2 - localPointA1, 1.0f);
m_axis.Normalize();
b2Vec2 normal = b2Mul(xfA.q, m_axis);
m_localPoint = 0.5f * (localPointA1 + localPointA2);
b2Vec2 pointA = b2Mul(xfA, m_localPoint);
b2Vec2 localPointB = m_proxyB->GetVertex(cache->indexB[0]);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 s = b2Dot(pointB - pointA, normal);
if (s < 0.0f)
{
m_axis = -m_axis;
s = -s;
}
return s;
}
}
float32 FindMinSeparation(int32* indexA, int32* indexB, float32 t) const
{
b2Transform xfA, xfB;
m_sweepA.GetTransform(&xfA, t);
m_sweepB.GetTransform(&xfB, t);
switch (m_type)
{
case e_points:
{
b2Vec2 axisA = b2MulT(xfA.q, m_axis);
b2Vec2 axisB = b2MulT(xfB.q, -m_axis);
*indexA = m_proxyA->GetSupport(axisA);
*indexB = m_proxyB->GetSupport(axisB);
b2Vec2 localPointA = m_proxyA->GetVertex(*indexA);
b2Vec2 localPointB = m_proxyB->GetVertex(*indexB);
b2Vec2 pointA = b2Mul(xfA, localPointA);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, m_axis);
return separation;
}
case e_faceA:
{
b2Vec2 normal = b2Mul(xfA.q, m_axis);
b2Vec2 pointA = b2Mul(xfA, m_localPoint);
b2Vec2 axisB = b2MulT(xfB.q, -normal);
*indexA = -1;
*indexB = m_proxyB->GetSupport(axisB);
b2Vec2 localPointB = m_proxyB->GetVertex(*indexB);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, normal);
return separation;
}
case e_faceB:
{
b2Vec2 normal = b2Mul(xfB.q, m_axis);
b2Vec2 pointB = b2Mul(xfB, m_localPoint);
b2Vec2 axisA = b2MulT(xfA.q, -normal);
*indexB = -1;
*indexA = m_proxyA->GetSupport(axisA);
b2Vec2 localPointA = m_proxyA->GetVertex(*indexA);
b2Vec2 pointA = b2Mul(xfA, localPointA);
float32 separation = b2Dot(pointA - pointB, normal);
return separation;
}
default:
b2Assert(false);
*indexA = -1;
*indexB = -1;
return 0.0f;
}
}
float32 Evaluate(int32 indexA, int32 indexB, float32 t) const
{
b2Transform xfA, xfB;
m_sweepA.GetTransform(&xfA, t);
m_sweepB.GetTransform(&xfB, t);
switch (m_type)
{
case e_points:
{
b2Vec2 localPointA = m_proxyA->GetVertex(indexA);
b2Vec2 localPointB = m_proxyB->GetVertex(indexB);
b2Vec2 pointA = b2Mul(xfA, localPointA);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, m_axis);
return separation;
}
case e_faceA:
{
b2Vec2 normal = b2Mul(xfA.q, m_axis);
b2Vec2 pointA = b2Mul(xfA, m_localPoint);
b2Vec2 localPointB = m_proxyB->GetVertex(indexB);
b2Vec2 pointB = b2Mul(xfB, localPointB);
float32 separation = b2Dot(pointB - pointA, normal);
return separation;
}
case e_faceB:
{
b2Vec2 normal = b2Mul(xfB.q, m_axis);
b2Vec2 pointB = b2Mul(xfB, m_localPoint);
b2Vec2 localPointA = m_proxyA->GetVertex(indexA);
b2Vec2 pointA = b2Mul(xfA, localPointA);
float32 separation = b2Dot(pointA - pointB, normal);
return separation;
}
default:
b2Assert(false);
return 0.0f;
}
}
const b2DistanceProxy* m_proxyA;
const b2DistanceProxy* m_proxyB;
b2Sweep m_sweepA, m_sweepB;
Type m_type;
b2Vec2 m_localPoint;
b2Vec2 m_axis;
};
// CCD via the local separating axis method. This seeks progression
// by computing the largest time at which separation is maintained.
void b2TimeOfImpact(b2TOIOutput* output, const b2TOIInput* input)
{
++b2_toiCalls;
output->state = b2TOIOutput::e_unknown;
output->t = input->tMax;
const b2DistanceProxy* proxyA = &input->proxyA;
const b2DistanceProxy* proxyB = &input->proxyB;
b2Sweep sweepA = input->sweepA;
b2Sweep sweepB = input->sweepB;
// Large rotations can make the root finder fail, so we normalize the
// sweep angles.
sweepA.Normalize();
sweepB.Normalize();
float32 tMax = input->tMax;
float32 totalRadius = proxyA->m_radius + proxyB->m_radius;
float32 target = b2Max(b2_linearSlop, totalRadius - 3.0f * b2_linearSlop);
float32 tolerance = 0.25f * b2_linearSlop;
b2Assert(target > tolerance);
float32 t1 = 0.0f;
const int32 k_maxIterations = 20; // TODO_ERIN b2Settings
int32 iter = 0;
// Prepare input for distance query.
b2SimplexCache cache;
cache.count = 0;
b2DistanceInput distanceInput;
distanceInput.proxyA = input->proxyA;
distanceInput.proxyB = input->proxyB;
distanceInput.useRadii = false;
// The outer loop progressively attempts to compute new separating axes.
// This loop terminates when an axis is repeated (no progress is made).
for(;;)
{
b2Transform xfA, xfB;
sweepA.GetTransform(&xfA, t1);
sweepB.GetTransform(&xfB, t1);
// Get the distance between shapes. We can also use the results
// to get a separating axis.
distanceInput.transformA = xfA;
distanceInput.transformB = xfB;
b2DistanceOutput distanceOutput;
b2Distance(&distanceOutput, &cache, &distanceInput);
// If the shapes are overlapped, we give up on continuous collision.
if (distanceOutput.distance <= 0.0f)
{
// Failure!
output->state = b2TOIOutput::e_overlapped;
output->t = 0.0f;
break;
}
if (distanceOutput.distance < target + tolerance)
{
// Victory!
output->state = b2TOIOutput::e_touching;
output->t = t1;
break;
}
// Initialize the separating axis.
b2SeparationFunction fcn;
fcn.Initialize(&cache, proxyA, sweepA, proxyB, sweepB, t1);
#if 0
// Dump the curve seen by the root finder
{
const int32 N = 100;
float32 dx = 1.0f / N;
float32 xs[N+1];
float32 fs[N+1];
float32 x = 0.0f;
for (int32 i = 0; i <= N; ++i)
{
sweepA.GetTransform(&xfA, x);
sweepB.GetTransform(&xfB, x);
float32 f = fcn.Evaluate(xfA, xfB) - target;
printf("%g %g\n", x, f);
xs[i] = x;
fs[i] = f;
x += dx;
}
}
#endif
// Compute the TOI on the separating axis. We do this by successively
// resolving the deepest point. This loop is bounded by the number of vertices.
bool done = false;
float32 t2 = tMax;
int32 pushBackIter = 0;
for (;;)
{
// Find the deepest point at t2. Store the witness point indices.
int32 indexA, indexB;
float32 s2 = fcn.FindMinSeparation(&indexA, &indexB, t2);
// Is the final configuration separated?
if (s2 > target + tolerance)
{
// Victory!
output->state = b2TOIOutput::e_separated;
output->t = tMax;
done = true;
break;
}
// Has the separation reached tolerance?
if (s2 > target - tolerance)
{
// Advance the sweeps
t1 = t2;
break;
}
// Compute the initial separation of the witness points.
float32 s1 = fcn.Evaluate(indexA, indexB, t1);
// Check for initial overlap. This might happen if the root finder
// runs out of iterations.
if (s1 < target - tolerance)
{
output->state = b2TOIOutput::e_failed;
output->t = t1;
done = true;
break;
}
// Check for touching
if (s1 <= target + tolerance)
{
// Victory! t1 should hold the TOI (could be 0.0).
output->state = b2TOIOutput::e_touching;
output->t = t1;
done = true;
break;
}
// Compute 1D root of: f(x) - target = 0
int32 rootIterCount = 0;
float32 a1 = t1, a2 = t2;
for (;;)
{
// Use a mix of the secant rule and bisection.
float32 t;
if (rootIterCount & 1)
{
// Secant rule to improve convergence.
t = a1 + (target - s1) * (a2 - a1) / (s2 - s1);
}
else
{
// Bisection to guarantee progress.
t = 0.5f * (a1 + a2);
}
float32 s = fcn.Evaluate(indexA, indexB, t);
if (b2Abs(s - target) < tolerance)
{
// t2 holds a tentative value for t1
t2 = t;
break;
}
// Ensure we continue to bracket the root.
if (s > target)
{
a1 = t;
s1 = s;
}
else
{
a2 = t;
s2 = s;
}
++rootIterCount;
++b2_toiRootIters;
if (rootIterCount == 50)
{
break;
}
}
b2_toiMaxRootIters = b2Max(b2_toiMaxRootIters, rootIterCount);
++pushBackIter;
if (pushBackIter == b2_maxPolygonVertices)
{
break;
}
}
++iter;
++b2_toiIters;
if (done)
{
break;
}
if (iter == k_maxIterations)
{
// Root finder got stuck. Semi-victory.
output->state = b2TOIOutput::e_failed;
output->t = t1;
break;
}
}
b2_toiMaxIters = b2Max(b2_toiMaxIters, iter);
}

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@ -1,58 +1,58 @@
/*
* 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 "../Common/b2Math.h"
#include "../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
/*
* 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 "../Common/b2Math.h"
#include "../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