aboutsummaryrefslogtreecommitdiff
path: root/src
diff options
context:
space:
mode:
Diffstat (limited to 'src')
-rw-r--r--src/3rdparty/Box2D/Box2D.h68
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.cpp198
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.h105
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.cpp99
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.h60
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.cpp138
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.h74
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.cpp468
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.h89
-rw-r--r--src/3rdparty/Box2D/Collision/Shapes/b2Shape.h104
-rw-r--r--src/3rdparty/Box2D/Collision/b2BroadPhase.cpp119
-rw-r--r--src/3rdparty/Box2D/Collision/b2BroadPhase.h257
-rw-r--r--src/3rdparty/Box2D/Collision/b2CollideCircle.cpp154
-rw-r--r--src/3rdparty/Box2D/Collision/b2CollideEdge.cpp698
-rw-r--r--src/3rdparty/Box2D/Collision/b2CollidePolygon.cpp239
-rw-r--r--src/3rdparty/Box2D/Collision/b2Collision.cpp252
-rw-r--r--src/3rdparty/Box2D/Collision/b2Collision.h277
-rw-r--r--src/3rdparty/Box2D/Collision/b2Distance.cpp737
-rw-r--r--src/3rdparty/Box2D/Collision/b2Distance.h166
-rw-r--r--src/3rdparty/Box2D/Collision/b2DynamicTree.cpp780
-rw-r--r--src/3rdparty/Box2D/Collision/b2DynamicTree.h289
-rw-r--r--src/3rdparty/Box2D/Collision/b2TimeOfImpact.cpp486
-rw-r--r--src/3rdparty/Box2D/Collision/b2TimeOfImpact.h58
-rw-r--r--src/3rdparty/Box2D/Common/b2BlockAllocator.cpp215
-rw-r--r--src/3rdparty/Box2D/Common/b2BlockAllocator.h62
-rw-r--r--src/3rdparty/Box2D/Common/b2Draw.cpp44
-rw-r--r--src/3rdparty/Box2D/Common/b2Draw.h97
-rw-r--r--src/3rdparty/Box2D/Common/b2GrowableStack.h85
-rw-r--r--src/3rdparty/Box2D/Common/b2Math.cpp94
-rw-r--r--src/3rdparty/Box2D/Common/b2Math.h707
-rw-r--r--src/3rdparty/Box2D/Common/b2Settings.cpp44
-rw-r--r--src/3rdparty/Box2D/Common/b2Settings.h155
-rw-r--r--src/3rdparty/Box2D/Common/b2StackAllocator.cpp83
-rw-r--r--src/3rdparty/Box2D/Common/b2StackAllocator.h60
-rw-r--r--src/3rdparty/Box2D/Common/b2Timer.cpp121
-rw-r--r--src/3rdparty/Box2D/Common/b2Timer.h50
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.cpp53
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.h39
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.cpp53
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.h39
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.cpp52
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.h39
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.cpp247
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.h349
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.cpp838
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.h95
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.cpp49
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.h39
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.cpp49
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.h39
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.cpp49
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.h38
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.cpp52
-rw-r--r--src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.h39
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.cpp260
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.h169
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.cpp251
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.h119
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.cpp419
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.h125
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2Joint.cpp211
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2Joint.h226
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.cpp309
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.h133
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.cpp222
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.h129
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.cpp642
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.h196
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.cpp348
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.h152
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.cpp511
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.h204
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.cpp241
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.h114
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.cpp344
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.h126
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.cpp456
-rw-r--r--src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.h216
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2Body.cpp554
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2Body.h882
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2ContactManager.cpp296
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2ContactManager.h52
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2Fixture.cpp303
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2Fixture.h345
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2Island.cpp539
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2Island.h93
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2TimeStep.h70
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2World.cpp1366
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2World.h354
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.cpp36
-rw-r--r--src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.h155
-rw-r--r--src/3rdparty/Box2D/Rope/b2Rope.cpp259
-rw-r--r--src/3rdparty/Box2D/Rope/b2Rope.h115
93 files changed, 21432 insertions, 0 deletions
diff --git a/src/3rdparty/Box2D/Box2D.h b/src/3rdparty/Box2D/Box2D.h
new file mode 100644
index 0000000..28ae428
--- /dev/null
+++ b/src/3rdparty/Box2D/Box2D.h
@@ -0,0 +1,68 @@
+/*
+* 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 BOX2D_H
+#define BOX2D_H
+
+/**
+\mainpage Box2D API Documentation
+
+\section intro_sec Getting Started
+
+For documentation please see http://box2d.org/documentation.html
+
+For discussion please visit http://box2d.org/forum
+*/
+
+// These include files constitute the main Box2D API
+
+#include "Box2D/Common/b2Settings.h"
+#include "Box2D/Common/b2Draw.h"
+#include "Box2D/Common/b2Timer.h"
+
+#include "Box2D/Collision/Shapes/b2CircleShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+#include "Box2D/Collision/Shapes/b2ChainShape.h"
+#include "Box2D/Collision/Shapes/b2PolygonShape.h"
+
+#include "Box2D/Collision/b2BroadPhase.h"
+#include "Box2D/Collision/b2Distance.h"
+#include "Box2D/Collision/b2DynamicTree.h"
+#include "Box2D/Collision/b2TimeOfImpact.h"
+
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2WorldCallbacks.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+#include "Box2D/Dynamics/b2World.h"
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+#include "Box2D/Dynamics/Joints/b2DistanceJoint.h"
+#include "Box2D/Dynamics/Joints/b2FrictionJoint.h"
+#include "Box2D/Dynamics/Joints/b2GearJoint.h"
+#include "Box2D/Dynamics/Joints/b2MotorJoint.h"
+#include "Box2D/Dynamics/Joints/b2MouseJoint.h"
+#include "Box2D/Dynamics/Joints/b2PrismaticJoint.h"
+#include "Box2D/Dynamics/Joints/b2PulleyJoint.h"
+#include "Box2D/Dynamics/Joints/b2RevoluteJoint.h"
+#include "Box2D/Dynamics/Joints/b2RopeJoint.h"
+#include "Box2D/Dynamics/Joints/b2WeldJoint.h"
+#include "Box2D/Dynamics/Joints/b2WheelJoint.h"
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.cpp b/src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.cpp
new file mode 100644
index 0000000..a709585
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.cpp
@@ -0,0 +1,198 @@
+/*
+* 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 "Box2D/Collision/Shapes/b2ChainShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+#include <new>
+#include <string.h>
+
+b2ChainShape::~b2ChainShape()
+{
+ Clear();
+}
+
+void b2ChainShape::Clear()
+{
+ b2Free(m_vertices);
+ m_vertices = nullptr;
+ m_count = 0;
+}
+
+void b2ChainShape::CreateLoop(const b2Vec2* vertices, int32 count)
+{
+ b2Assert(m_vertices == nullptr && m_count == 0);
+ b2Assert(count >= 3);
+ if (count < 3)
+ {
+ return;
+ }
+
+ for (int32 i = 1; i < count; ++i)
+ {
+ b2Vec2 v1 = vertices[i-1];
+ b2Vec2 v2 = vertices[i];
+ // If the code crashes here, it means your vertices are too close together.
+ b2Assert(b2DistanceSquared(v1, v2) > b2_linearSlop * b2_linearSlop);
+ }
+
+ 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 == nullptr && m_count == 0);
+ b2Assert(count >= 2);
+ for (int32 i = 1; i < count; ++i)
+ {
+ // If the code crashes here, it means your vertices are too close together.
+ b2Assert(b2DistanceSquared(vertices[i-1], vertices[i]) > b2_linearSlop * b2_linearSlop);
+ }
+
+ m_count = count;
+ m_vertices = (b2Vec2*)b2Alloc(count * sizeof(b2Vec2));
+ memcpy(m_vertices, vertices, m_count * sizeof(b2Vec2));
+
+ m_hasPrevVertex = false;
+ m_hasNextVertex = false;
+
+ m_prevVertex.SetZero();
+ m_nextVertex.SetZero();
+}
+
+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;
+}
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.h b/src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.h
new file mode 100644
index 0000000..7c8c1a8
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2ChainShape.h
@@ -0,0 +1,105 @@
+/*
+* Copyright (c) 2006-2010 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_CHAIN_SHAPE_H
+#define B2_CHAIN_SHAPE_H
+
+#include "Box2D/Collision/Shapes/b2Shape.h"
+
+class b2EdgeShape;
+
+/// A chain shape is a free form sequence of line segments.
+/// The chain has two-sided collision, so you can use inside and outside collision.
+/// Therefore, you may use any winding order.
+/// Since there may be many vertices, they are allocated using b2Alloc.
+/// Connectivity information is used to create smooth collisions.
+/// WARNING: The chain will not collide properly if there are self-intersections.
+class b2ChainShape : public b2Shape
+{
+public:
+ b2ChainShape();
+
+ /// The destructor frees the vertices using b2Free.
+ ~b2ChainShape();
+
+ /// Clear all data.
+ void Clear();
+
+ /// Create a loop. This automatically adjusts connectivity.
+ /// @param vertices an array of vertices, these are copied
+ /// @param count the vertex count
+ void CreateLoop(const b2Vec2* vertices, int32 count);
+
+ /// Create a chain with isolated end vertices.
+ /// @param vertices an array of vertices, these are copied
+ /// @param count the vertex count
+ void CreateChain(const b2Vec2* vertices, int32 count);
+
+ /// Establish connectivity to a vertex that precedes the first vertex.
+ /// Don't call this for loops.
+ void SetPrevVertex(const b2Vec2& prevVertex);
+
+ /// Establish connectivity to a vertex that follows the last vertex.
+ /// Don't call this for loops.
+ void SetNextVertex(const b2Vec2& nextVertex);
+
+ /// Implement b2Shape. Vertices are cloned using b2Alloc.
+ b2Shape* Clone(b2BlockAllocator* allocator) const override;
+
+ /// @see b2Shape::GetChildCount
+ int32 GetChildCount() const override;
+
+ /// Get a child edge.
+ void GetChildEdge(b2EdgeShape* edge, int32 index) const;
+
+ /// This always return false.
+ /// @see b2Shape::TestPoint
+ bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
+
+ /// Implement b2Shape.
+ bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
+ const b2Transform& transform, int32 childIndex) const override;
+
+ /// @see b2Shape::ComputeAABB
+ void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
+
+ /// Chains have zero mass.
+ /// @see b2Shape::ComputeMass
+ void ComputeMass(b2MassData* massData, float32 density) const override;
+
+ /// The vertices. Owned by this class.
+ b2Vec2* m_vertices;
+
+ /// The vertex count.
+ int32 m_count;
+
+ b2Vec2 m_prevVertex, m_nextVertex;
+ bool m_hasPrevVertex, m_hasNextVertex;
+};
+
+inline b2ChainShape::b2ChainShape()
+{
+ m_type = e_chain;
+ m_radius = b2_polygonRadius;
+ m_vertices = nullptr;
+ m_count = 0;
+ m_hasPrevVertex = false;
+ m_hasNextVertex = false;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.cpp b/src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.cpp
new file mode 100644
index 0000000..fa24dc8
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.cpp
@@ -0,0 +1,99 @@
+/*
+* 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 "Box2D/Collision/Shapes/b2CircleShape.h"
+#include <new>
+
+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));
+}
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.h b/src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.h
new file mode 100644
index 0000000..d2c646e
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2CircleShape.h
@@ -0,0 +1,60 @@
+/*
+* Copyright (c) 2006-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_CIRCLE_SHAPE_H
+#define B2_CIRCLE_SHAPE_H
+
+#include "Box2D/Collision/Shapes/b2Shape.h"
+
+/// A circle shape.
+class b2CircleShape : public b2Shape
+{
+public:
+ b2CircleShape();
+
+ /// Implement b2Shape.
+ b2Shape* Clone(b2BlockAllocator* allocator) const override;
+
+ /// @see b2Shape::GetChildCount
+ int32 GetChildCount() const override;
+
+ /// Implement b2Shape.
+ bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
+
+ /// Implement b2Shape.
+ bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
+ const b2Transform& transform, int32 childIndex) const override;
+
+ /// @see b2Shape::ComputeAABB
+ void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
+
+ /// @see b2Shape::ComputeMass
+ void ComputeMass(b2MassData* massData, float32 density) const override;
+
+ /// Position
+ b2Vec2 m_p;
+};
+
+inline b2CircleShape::b2CircleShape()
+{
+ m_type = e_circle;
+ m_radius = 0.0f;
+ m_p.SetZero();
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.cpp b/src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.cpp
new file mode 100644
index 0000000..7b8dd57
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.cpp
@@ -0,0 +1,138 @@
+/*
+* 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 "Box2D/Collision/Shapes/b2EdgeShape.h"
+#include <new>
+
+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 = -b2Mul(xf.q, normal);
+ }
+ else
+ {
+ output->normal = b2Mul(xf.q, 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;
+}
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.h b/src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.h
new file mode 100644
index 0000000..63b1a56
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2EdgeShape.h
@@ -0,0 +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 "Box2D/Collision/Shapes/b2Shape.h"
+
+/// A line segment (edge) shape. These can be connected in chains or loops
+/// to other edge shapes. The connectivity information is used to ensure
+/// correct contact normals.
+class b2EdgeShape : public b2Shape
+{
+public:
+ b2EdgeShape();
+
+ /// Set this as an isolated edge.
+ void Set(const b2Vec2& v1, const b2Vec2& v2);
+
+ /// Implement b2Shape.
+ b2Shape* Clone(b2BlockAllocator* allocator) const override;
+
+ /// @see b2Shape::GetChildCount
+ int32 GetChildCount() const override;
+
+ /// @see b2Shape::TestPoint
+ bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
+
+ /// Implement b2Shape.
+ bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
+ const b2Transform& transform, int32 childIndex) const override;
+
+ /// @see b2Shape::ComputeAABB
+ void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
+
+ /// @see b2Shape::ComputeMass
+ void ComputeMass(b2MassData* massData, float32 density) const override;
+
+ /// 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
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.cpp b/src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.cpp
new file mode 100644
index 0000000..3c8c47d
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.cpp
@@ -0,0 +1,468 @@
+/*
+* 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 "Box2D/Collision/Shapes/b2PolygonShape.h"
+#include <new>
+
+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_count = 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_count = 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_count; ++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);
+ if (count < 3)
+ {
+ SetAsBox(1.0f, 1.0f);
+ return;
+ }
+
+ int32 n = b2Min(count, b2_maxPolygonVertices);
+
+ // Perform welding and copy vertices into local buffer.
+ b2Vec2 ps[b2_maxPolygonVertices];
+ int32 tempCount = 0;
+ for (int32 i = 0; i < n; ++i)
+ {
+ b2Vec2 v = vertices[i];
+
+ bool unique = true;
+ for (int32 j = 0; j < tempCount; ++j)
+ {
+ if (b2DistanceSquared(v, ps[j]) < ((0.5f * b2_linearSlop) * (0.5f * b2_linearSlop)))
+ {
+ unique = false;
+ break;
+ }
+ }
+
+ if (unique)
+ {
+ ps[tempCount++] = v;
+ }
+ }
+
+ n = tempCount;
+ if (n < 3)
+ {
+ // Polygon is degenerate.
+ b2Assert(false);
+ SetAsBox(1.0f, 1.0f);
+ return;
+ }
+
+ // Create the convex hull using the Gift wrapping algorithm
+ // http://en.wikipedia.org/wiki/Gift_wrapping_algorithm
+
+ // Find the right most point on the hull
+ int32 i0 = 0;
+ float32 x0 = ps[0].x;
+ for (int32 i = 1; i < n; ++i)
+ {
+ float32 x = ps[i].x;
+ if (x > x0 || (x == x0 && ps[i].y < ps[i0].y))
+ {
+ i0 = i;
+ x0 = x;
+ }
+ }
+
+ int32 hull[b2_maxPolygonVertices];
+ int32 m = 0;
+ int32 ih = i0;
+
+ for (;;)
+ {
+ b2Assert(m < b2_maxPolygonVertices);
+ hull[m] = ih;
+
+ int32 ie = 0;
+ for (int32 j = 1; j < n; ++j)
+ {
+ if (ie == ih)
+ {
+ ie = j;
+ continue;
+ }
+
+ b2Vec2 r = ps[ie] - ps[hull[m]];
+ b2Vec2 v = ps[j] - ps[hull[m]];
+ float32 c = b2Cross(r, v);
+ if (c < 0.0f)
+ {
+ ie = j;
+ }
+
+ // Collinearity check
+ if (c == 0.0f && v.LengthSquared() > r.LengthSquared())
+ {
+ ie = j;
+ }
+ }
+
+ ++m;
+ ih = ie;
+
+ if (ie == i0)
+ {
+ break;
+ }
+ }
+
+ if (m < 3)
+ {
+ // Polygon is degenerate.
+ b2Assert(false);
+ SetAsBox(1.0f, 1.0f);
+ return;
+ }
+
+ m_count = m;
+
+ // Copy vertices.
+ for (int32 i = 0; i < m; ++i)
+ {
+ m_vertices[i] = ps[hull[i]];
+ }
+
+ // Compute normals. Ensure the edges have non-zero length.
+ for (int32 i = 0; i < m; ++i)
+ {
+ int32 i1 = i;
+ int32 i2 = i + 1 < m ? 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();
+ }
+
+ // Compute the polygon centroid.
+ m_centroid = ComputeCentroid(m_vertices, m);
+}
+
+bool b2PolygonShape::TestPoint(const b2Transform& xf, const b2Vec2& p) const
+{
+ b2Vec2 pLocal = b2MulT(xf.q, p - xf.p);
+
+ for (int32 i = 0; i < m_count; ++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_count; ++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_count; ++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_count >= 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_count; ++i)
+ {
+ s += m_vertices[i];
+ }
+ s *= 1.0f / m_count;
+
+ const float32 k_inv3 = 1.0f / 3.0f;
+
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ // Triangle vertices.
+ b2Vec2 e1 = m_vertices[i] - s;
+ b2Vec2 e2 = i + 1 < m_count ? 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));
+}
+
+bool b2PolygonShape::Validate() const
+{
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ int32 i1 = i;
+ int32 i2 = i < m_count - 1 ? i1 + 1 : 0;
+ b2Vec2 p = m_vertices[i1];
+ b2Vec2 e = m_vertices[i2] - p;
+
+ for (int32 j = 0; j < m_count; ++j)
+ {
+ if (j == i1 || j == i2)
+ {
+ continue;
+ }
+
+ b2Vec2 v = m_vertices[j] - p;
+ float32 c = b2Cross(e, v);
+ if (c < 0.0f)
+ {
+ return false;
+ }
+ }
+ }
+
+ return true;
+}
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.h b/src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.h
new file mode 100644
index 0000000..26c5e61
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2PolygonShape.h
@@ -0,0 +1,89 @@
+/*
+* Copyright (c) 2006-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_POLYGON_SHAPE_H
+#define B2_POLYGON_SHAPE_H
+
+#include "Box2D/Collision/Shapes/b2Shape.h"
+
+/// A convex polygon. It is assumed that the interior of the polygon is to
+/// the left of each edge.
+/// Polygons have a maximum number of vertices equal to b2_maxPolygonVertices.
+/// In most cases you should not need many vertices for a convex polygon.
+class b2PolygonShape : public b2Shape
+{
+public:
+ b2PolygonShape();
+
+ /// Implement b2Shape.
+ b2Shape* Clone(b2BlockAllocator* allocator) const override;
+
+ /// @see b2Shape::GetChildCount
+ int32 GetChildCount() const override;
+
+ /// Create a convex hull from the given array of local points.
+ /// The count must be in the range [3, b2_maxPolygonVertices].
+ /// @warning the points may be re-ordered, even if they form a convex polygon
+ /// @warning collinear points are handled but not removed. Collinear points
+ /// may lead to poor stacking behavior.
+ void Set(const b2Vec2* points, int32 count);
+
+ /// Build vertices to represent an axis-aligned box centered on the local origin.
+ /// @param hx the half-width.
+ /// @param hy the half-height.
+ void SetAsBox(float32 hx, float32 hy);
+
+ /// Build vertices to represent an oriented box.
+ /// @param hx the half-width.
+ /// @param hy the half-height.
+ /// @param center the center of the box in local coordinates.
+ /// @param angle the rotation of the box in local coordinates.
+ void SetAsBox(float32 hx, float32 hy, const b2Vec2& center, float32 angle);
+
+ /// @see b2Shape::TestPoint
+ bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
+
+ /// Implement b2Shape.
+ bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
+ const b2Transform& transform, int32 childIndex) const override;
+
+ /// @see b2Shape::ComputeAABB
+ void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
+
+ /// @see b2Shape::ComputeMass
+ void ComputeMass(b2MassData* massData, float32 density) const override;
+
+ /// Validate convexity. This is a very time consuming operation.
+ /// @returns true if valid
+ bool Validate() const;
+
+ b2Vec2 m_centroid;
+ b2Vec2 m_vertices[b2_maxPolygonVertices];
+ b2Vec2 m_normals[b2_maxPolygonVertices];
+ int32 m_count;
+};
+
+inline b2PolygonShape::b2PolygonShape()
+{
+ m_type = e_polygon;
+ m_radius = b2_polygonRadius;
+ m_count = 0;
+ m_centroid.SetZero();
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/Shapes/b2Shape.h b/src/3rdparty/Box2D/Collision/Shapes/b2Shape.h
new file mode 100644
index 0000000..653e362
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/Shapes/b2Shape.h
@@ -0,0 +1,104 @@
+/*
+* Copyright (c) 2006-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_SHAPE_H
+#define B2_SHAPE_H
+
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Common/b2Math.h"
+#include "Box2D/Collision/b2Collision.h"
+
+/// This holds the mass data computed for a shape.
+struct b2MassData
+{
+ /// The mass of the shape, usually in kilograms.
+ float32 mass;
+
+ /// The position of the shape's centroid relative to the shape's origin.
+ b2Vec2 center;
+
+ /// The rotational inertia of the shape about the local origin.
+ float32 I;
+};
+
+/// A shape is used for collision detection. You can create a shape however you like.
+/// Shapes used for simulation in b2World are created automatically when a b2Fixture
+/// is created. Shapes may encapsulate a one or more child shapes.
+class b2Shape
+{
+public:
+
+ enum Type
+ {
+ e_circle = 0,
+ e_edge = 1,
+ e_polygon = 2,
+ e_chain = 3,
+ e_typeCount = 4
+ };
+
+ virtual ~b2Shape() {}
+
+ /// Clone the concrete shape using the provided allocator.
+ virtual b2Shape* Clone(b2BlockAllocator* allocator) const = 0;
+
+ /// Get the type of this shape. You can use this to down cast to the concrete shape.
+ /// @return the shape type.
+ Type GetType() const;
+
+ /// Get the number of child primitives.
+ virtual int32 GetChildCount() const = 0;
+
+ /// Test a point for containment in this shape. This only works for convex shapes.
+ /// @param xf the shape world transform.
+ /// @param p a point in world coordinates.
+ virtual bool TestPoint(const b2Transform& xf, const b2Vec2& p) const = 0;
+
+ /// Cast a ray against a child shape.
+ /// @param output the ray-cast results.
+ /// @param input the ray-cast input parameters.
+ /// @param transform the transform to be applied to the shape.
+ /// @param childIndex the child shape index
+ virtual bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
+ const b2Transform& transform, int32 childIndex) const = 0;
+
+ /// Given a transform, compute the associated axis aligned bounding box for a child shape.
+ /// @param aabb returns the axis aligned box.
+ /// @param xf the world transform of the shape.
+ /// @param childIndex the child shape
+ virtual void ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const = 0;
+
+ /// Compute the mass properties of this shape using its dimensions and density.
+ /// The inertia tensor is computed about the local origin.
+ /// @param massData returns the mass data for this shape.
+ /// @param density the density in kilograms per meter squared.
+ virtual void ComputeMass(b2MassData* massData, float32 density) const = 0;
+
+ Type m_type;
+
+ /// Radius of a shape. For polygonal shapes this must be b2_polygonRadius. There is no support for
+ /// making rounded polygons.
+ float32 m_radius;
+};
+
+inline b2Shape::Type b2Shape::GetType() const
+{
+ return m_type;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/b2BroadPhase.cpp b/src/3rdparty/Box2D/Collision/b2BroadPhase.cpp
new file mode 100644
index 0000000..e96339d
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2BroadPhase.cpp
@@ -0,0 +1,119 @@
+/*
+* 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 "Box2D/Collision/b2BroadPhase.h"
+
+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;
+ }
+ }
+}
+
+// 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;
+}
diff --git a/src/3rdparty/Box2D/Collision/b2BroadPhase.h b/src/3rdparty/Box2D/Collision/b2BroadPhase.h
new file mode 100644
index 0000000..d2965ed
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2BroadPhase.h
@@ -0,0 +1,257 @@
+/*
+* Copyright (c) 2006-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_BROAD_PHASE_H
+#define B2_BROAD_PHASE_H
+
+#include "Box2D/Common/b2Settings.h"
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/b2DynamicTree.h"
+#include <algorithm>
+
+struct b2Pair
+{
+ int32 proxyIdA;
+ int32 proxyIdB;
+};
+
+/// The broad-phase is used for computing pairs and performing volume queries and ray casts.
+/// This broad-phase does not persist pairs. Instead, this reports potentially new pairs.
+/// It is up to the client to consume the new pairs and to track subsequent overlap.
+class b2BroadPhase
+{
+public:
+
+ enum
+ {
+ e_nullProxy = -1
+ };
+
+ b2BroadPhase();
+ ~b2BroadPhase();
+
+ /// Create a proxy with an initial AABB. Pairs are not reported until
+ /// UpdatePairs is called.
+ int32 CreateProxy(const b2AABB& aabb, void* userData);
+
+ /// Destroy a proxy. It is up to the client to remove any pairs.
+ void DestroyProxy(int32 proxyId);
+
+ /// Call MoveProxy as many times as you like, then when you are done
+ /// call UpdatePairs to finalized the proxy pairs (for your time step).
+ void MoveProxy(int32 proxyId, const b2AABB& aabb, const b2Vec2& displacement);
+
+ /// Call to trigger a re-processing of it's pairs on the next call to UpdatePairs.
+ void TouchProxy(int32 proxyId);
+
+ /// Get the fat AABB for a proxy.
+ const b2AABB& GetFatAABB(int32 proxyId) const;
+
+ /// Get user data from a proxy. Returns nullptr if the id is invalid.
+ void* GetUserData(int32 proxyId) const;
+
+ /// Test overlap of fat AABBs.
+ bool TestOverlap(int32 proxyIdA, int32 proxyIdB) const;
+
+ /// Get the number of proxies.
+ int32 GetProxyCount() const;
+
+ /// Update the pairs. This results in pair callbacks. This can only add pairs.
+ template <typename T>
+ void UpdatePairs(T* callback);
+
+ /// Query an AABB for overlapping proxies. The callback class
+ /// is called for each proxy that overlaps the supplied AABB.
+ template <typename T>
+ void Query(T* callback, const b2AABB& aabb) const;
+
+ /// Ray-cast against the proxies in the tree. This relies on the callback
+ /// to perform a exact ray-cast in the case were the proxy contains a shape.
+ /// The callback also performs the any collision filtering. This has performance
+ /// roughly equal to k * log(n), where k is the number of collisions and n is the
+ /// number of proxies in the tree.
+ /// @param input the ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
+ /// @param callback a callback class that is called for each proxy that is hit by the ray.
+ template <typename T>
+ void RayCast(T* callback, const b2RayCastInput& input) const;
+
+ /// Get the height of the embedded tree.
+ int32 GetTreeHeight() const;
+
+ /// Get the balance of the embedded tree.
+ int32 GetTreeBalance() const;
+
+ /// Get the quality metric of the embedded tree.
+ float32 GetTreeQuality() const;
+
+ /// Shift the world origin. Useful for large worlds.
+ /// The shift formula is: position -= newOrigin
+ /// @param newOrigin the new origin with respect to the old origin
+ void ShiftOrigin(const b2Vec2& newOrigin);
+
+private:
+
+ friend class b2DynamicTree;
+
+ void BufferMove(int32 proxyId);
+ void UnBufferMove(int32 proxyId);
+
+ bool QueryCallback(int32 proxyId);
+
+ b2DynamicTree m_tree;
+
+ int32 m_proxyCount;
+
+ int32* m_moveBuffer;
+ int32 m_moveCapacity;
+ int32 m_moveCount;
+
+ b2Pair* m_pairBuffer;
+ int32 m_pairCapacity;
+ int32 m_pairCount;
+
+ int32 m_queryProxyId;
+};
+
+/// This is used to sort pairs.
+inline bool b2PairLessThan(const b2Pair& pair1, const b2Pair& pair2)
+{
+ if (pair1.proxyIdA < pair2.proxyIdA)
+ {
+ return true;
+ }
+
+ if (pair1.proxyIdA == pair2.proxyIdA)
+ {
+ return pair1.proxyIdB < pair2.proxyIdB;
+ }
+
+ return false;
+}
+
+inline void* b2BroadPhase::GetUserData(int32 proxyId) const
+{
+ return m_tree.GetUserData(proxyId);
+}
+
+inline bool b2BroadPhase::TestOverlap(int32 proxyIdA, int32 proxyIdB) const
+{
+ const b2AABB& aabbA = m_tree.GetFatAABB(proxyIdA);
+ const b2AABB& aabbB = m_tree.GetFatAABB(proxyIdB);
+ return b2TestOverlap(aabbA, aabbB);
+}
+
+inline const b2AABB& b2BroadPhase::GetFatAABB(int32 proxyId) const
+{
+ return m_tree.GetFatAABB(proxyId);
+}
+
+inline int32 b2BroadPhase::GetProxyCount() const
+{
+ return m_proxyCount;
+}
+
+inline int32 b2BroadPhase::GetTreeHeight() const
+{
+ return m_tree.GetHeight();
+}
+
+inline int32 b2BroadPhase::GetTreeBalance() const
+{
+ return m_tree.GetMaxBalance();
+}
+
+inline float32 b2BroadPhase::GetTreeQuality() const
+{
+ return m_tree.GetAreaRatio();
+}
+
+template <typename T>
+void b2BroadPhase::UpdatePairs(T* callback)
+{
+ // Reset pair buffer
+ m_pairCount = 0;
+
+ // Perform tree queries for all moving proxies.
+ for (int32 i = 0; i < m_moveCount; ++i)
+ {
+ m_queryProxyId = m_moveBuffer[i];
+ if (m_queryProxyId == e_nullProxy)
+ {
+ continue;
+ }
+
+ // We have to query the tree with the fat AABB so that
+ // we don't fail to create a pair that may touch later.
+ const b2AABB& fatAABB = m_tree.GetFatAABB(m_queryProxyId);
+
+ // Query tree, create pairs and add them pair buffer.
+ m_tree.Query(this, fatAABB);
+ }
+
+ // Reset move buffer
+ m_moveCount = 0;
+
+ // Sort the pair buffer to expose duplicates.
+ std::sort(m_pairBuffer, m_pairBuffer + m_pairCount, b2PairLessThan);
+
+ // Send the pairs back to the client.
+ int32 i = 0;
+ while (i < m_pairCount)
+ {
+ b2Pair* primaryPair = m_pairBuffer + i;
+ void* userDataA = m_tree.GetUserData(primaryPair->proxyIdA);
+ void* userDataB = m_tree.GetUserData(primaryPair->proxyIdB);
+
+ callback->AddPair(userDataA, userDataB);
+ ++i;
+
+ // Skip any duplicate pairs.
+ while (i < m_pairCount)
+ {
+ b2Pair* pair = m_pairBuffer + i;
+ if (pair->proxyIdA != primaryPair->proxyIdA || pair->proxyIdB != primaryPair->proxyIdB)
+ {
+ break;
+ }
+ ++i;
+ }
+ }
+
+ // Try to keep the tree balanced.
+ //m_tree.Rebalance(4);
+}
+
+template <typename T>
+inline void b2BroadPhase::Query(T* callback, const b2AABB& aabb) const
+{
+ m_tree.Query(callback, aabb);
+}
+
+template <typename T>
+inline void b2BroadPhase::RayCast(T* callback, const b2RayCastInput& input) const
+{
+ m_tree.RayCast(callback, input);
+}
+
+inline void b2BroadPhase::ShiftOrigin(const b2Vec2& newOrigin)
+{
+ m_tree.ShiftOrigin(newOrigin);
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/b2CollideCircle.cpp b/src/3rdparty/Box2D/Collision/b2CollideCircle.cpp
new file mode 100644
index 0000000..f39f057
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2CollideCircle.cpp
@@ -0,0 +1,154 @@
+/*
+* 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 "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/Shapes/b2CircleShape.h"
+#include "Box2D/Collision/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_count;
+ 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);
+ float32 s = b2Dot(cLocal - faceCenter, normals[vertIndex1]);
+ if (s > 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;
+ }
+}
diff --git a/src/3rdparty/Box2D/Collision/b2CollideEdge.cpp b/src/3rdparty/Box2D/Collision/b2CollideEdge.cpp
new file mode 100644
index 0000000..793d714
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2CollideEdge.cpp
@@ -0,0 +1,698 @@
+/*
+ * 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 "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/Shapes/b2CircleShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+#include "Box2D/Collision/Shapes/b2PolygonShape.h"
+
+
+// Compute contact points for edge versus circle.
+// This accounts for edge connectivity.
+void b2CollideEdgeAndCircle(b2Manifold* manifold,
+ const b2EdgeShape* edgeA, const b2Transform& xfA,
+ const b2CircleShape* circleB, const b2Transform& xfB)
+{
+ manifold->pointCount = 0;
+
+ // Compute circle in frame of edge
+ b2Vec2 Q = b2MulT(xfA, b2Mul(xfB, circleB->m_p));
+
+ b2Vec2 A = edgeA->m_vertex1, B = edgeA->m_vertex2;
+ b2Vec2 e = B - A;
+
+ // Barycentric coordinates
+ float32 u = b2Dot(e, B - Q);
+ float32 v = b2Dot(e, Q - A);
+
+ float32 radius = edgeA->m_radius + circleB->m_radius;
+
+ b2ContactFeature cf;
+ cf.indexB = 0;
+ cf.typeB = b2ContactFeature::e_vertex;
+
+ // Region A
+ if (v <= 0.0f)
+ {
+ b2Vec2 P = A;
+ b2Vec2 d = Q - P;
+ float32 dd = b2Dot(d, d);
+ if (dd > radius * radius)
+ {
+ return;
+ }
+
+ // Is there an edge connected to A?
+ if (edgeA->m_hasVertex0)
+ {
+ b2Vec2 A1 = edgeA->m_vertex0;
+ b2Vec2 B1 = A;
+ b2Vec2 e1 = B1 - A1;
+ float32 u1 = b2Dot(e1, B1 - Q);
+
+ // Is the circle in Region AB of the previous edge?
+ if (u1 > 0.0f)
+ {
+ return;
+ }
+ }
+
+ cf.indexA = 0;
+ cf.typeA = b2ContactFeature::e_vertex;
+ manifold->pointCount = 1;
+ manifold->type = b2Manifold::e_circles;
+ manifold->localNormal.SetZero();
+ manifold->localPoint = P;
+ manifold->points[0].id.key = 0;
+ manifold->points[0].id.cf = cf;
+ manifold->points[0].localPoint = circleB->m_p;
+ return;
+ }
+
+ // Region B
+ if (u <= 0.0f)
+ {
+ b2Vec2 P = B;
+ b2Vec2 d = Q - P;
+ float32 dd = b2Dot(d, d);
+ if (dd > radius * radius)
+ {
+ return;
+ }
+
+ // Is there an edge connected to B?
+ if (edgeA->m_hasVertex3)
+ {
+ b2Vec2 B2 = edgeA->m_vertex3;
+ b2Vec2 A2 = B;
+ b2Vec2 e2 = B2 - A2;
+ float32 v2 = b2Dot(e2, Q - A2);
+
+ // Is the circle in Region AB of the next edge?
+ if (v2 > 0.0f)
+ {
+ return;
+ }
+ }
+
+ cf.indexA = 1;
+ cf.typeA = b2ContactFeature::e_vertex;
+ manifold->pointCount = 1;
+ manifold->type = b2Manifold::e_circles;
+ manifold->localNormal.SetZero();
+ manifold->localPoint = P;
+ manifold->points[0].id.key = 0;
+ manifold->points[0].id.cf = cf;
+ manifold->points[0].localPoint = circleB->m_p;
+ return;
+ }
+
+ // Region AB
+ float32 den = b2Dot(e, e);
+ b2Assert(den > 0.0f);
+ b2Vec2 P = (1.0f / den) * (u * A + v * B);
+ b2Vec2 d = Q - P;
+ float32 dd = b2Dot(d, d);
+ if (dd > radius * radius)
+ {
+ return;
+ }
+
+ b2Vec2 n(-e.y, e.x);
+ if (b2Dot(n, Q - A) < 0.0f)
+ {
+ n.Set(-n.x, -n.y);
+ }
+ n.Normalize();
+
+ cf.indexA = 0;
+ cf.typeA = b2ContactFeature::e_face;
+ manifold->pointCount = 1;
+ manifold->type = b2Manifold::e_faceA;
+ manifold->localNormal = n;
+ manifold->localPoint = A;
+ manifold->points[0].id.key = 0;
+ manifold->points[0].id.cf = cf;
+ manifold->points[0].localPoint = circleB->m_p;
+}
+
+// This structure is used to keep track of the best separating axis.
+struct b2EPAxis
+{
+ enum Type
+ {
+ e_unknown,
+ e_edgeA,
+ e_edgeB
+ };
+
+ Type type;
+ int32 index;
+ float32 separation;
+};
+
+// This holds polygon B expressed in frame A.
+struct b2TempPolygon
+{
+ b2Vec2 vertices[b2_maxPolygonVertices];
+ b2Vec2 normals[b2_maxPolygonVertices];
+ int32 count;
+};
+
+// Reference face used for clipping
+struct b2ReferenceFace
+{
+ int32 i1, i2;
+
+ b2Vec2 v1, v2;
+
+ b2Vec2 normal;
+
+ b2Vec2 sideNormal1;
+ float32 sideOffset1;
+
+ b2Vec2 sideNormal2;
+ float32 sideOffset2;
+};
+
+// This class collides and edge and a polygon, taking into account edge adjacency.
+struct b2EPCollider
+{
+ void Collide(b2Manifold* manifold, const b2EdgeShape* edgeA, const b2Transform& xfA,
+ const b2PolygonShape* polygonB, const b2Transform& xfB);
+ b2EPAxis ComputeEdgeSeparation();
+ b2EPAxis ComputePolygonSeparation();
+
+ enum VertexType
+ {
+ e_isolated,
+ e_concave,
+ e_convex
+ };
+
+ b2TempPolygon m_polygonB;
+
+ b2Transform m_xf;
+ b2Vec2 m_centroidB;
+ b2Vec2 m_v0, m_v1, m_v2, m_v3;
+ b2Vec2 m_normal0, m_normal1, m_normal2;
+ b2Vec2 m_normal;
+ VertexType m_type1, m_type2;
+ b2Vec2 m_lowerLimit, m_upperLimit;
+ float32 m_radius;
+ bool m_front;
+};
+
+// Algorithm:
+// 1. Classify v1 and v2
+// 2. Classify polygon centroid as front or back
+// 3. Flip normal if necessary
+// 4. Initialize normal range to [-pi, pi] about face normal
+// 5. Adjust normal range according to adjacent edges
+// 6. Visit each separating axes, only accept axes within the range
+// 7. Return if _any_ axis indicates separation
+// 8. Clip
+void b2EPCollider::Collide(b2Manifold* manifold, const b2EdgeShape* edgeA, const b2Transform& xfA,
+ const b2PolygonShape* polygonB, const b2Transform& xfB)
+{
+ m_xf = b2MulT(xfA, xfB);
+
+ m_centroidB = b2Mul(m_xf, polygonB->m_centroid);
+
+ m_v0 = edgeA->m_vertex0;
+ m_v1 = edgeA->m_vertex1;
+ m_v2 = edgeA->m_vertex2;
+ m_v3 = edgeA->m_vertex3;
+
+ bool hasVertex0 = edgeA->m_hasVertex0;
+ bool hasVertex3 = edgeA->m_hasVertex3;
+
+ b2Vec2 edge1 = m_v2 - m_v1;
+ edge1.Normalize();
+ m_normal1.Set(edge1.y, -edge1.x);
+ float32 offset1 = b2Dot(m_normal1, m_centroidB - m_v1);
+ float32 offset0 = 0.0f, offset2 = 0.0f;
+ bool convex1 = false, convex2 = false;
+
+ // Is there a preceding edge?
+ if (hasVertex0)
+ {
+ b2Vec2 edge0 = m_v1 - m_v0;
+ edge0.Normalize();
+ m_normal0.Set(edge0.y, -edge0.x);
+ convex1 = b2Cross(edge0, edge1) >= 0.0f;
+ offset0 = b2Dot(m_normal0, m_centroidB - m_v0);
+ }
+
+ // Is there a following edge?
+ if (hasVertex3)
+ {
+ b2Vec2 edge2 = m_v3 - m_v2;
+ edge2.Normalize();
+ m_normal2.Set(edge2.y, -edge2.x);
+ convex2 = b2Cross(edge1, edge2) > 0.0f;
+ offset2 = b2Dot(m_normal2, m_centroidB - m_v2);
+ }
+
+ // Determine front or back collision. Determine collision normal limits.
+ if (hasVertex0 && hasVertex3)
+ {
+ if (convex1 && convex2)
+ {
+ m_front = offset0 >= 0.0f || offset1 >= 0.0f || offset2 >= 0.0f;
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = m_normal0;
+ m_upperLimit = m_normal2;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = -m_normal1;
+ m_upperLimit = -m_normal1;
+ }
+ }
+ else if (convex1)
+ {
+ m_front = offset0 >= 0.0f || (offset1 >= 0.0f && offset2 >= 0.0f);
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = m_normal0;
+ m_upperLimit = m_normal1;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = -m_normal2;
+ m_upperLimit = -m_normal1;
+ }
+ }
+ else if (convex2)
+ {
+ m_front = offset2 >= 0.0f || (offset0 >= 0.0f && offset1 >= 0.0f);
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = m_normal1;
+ m_upperLimit = m_normal2;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = -m_normal1;
+ m_upperLimit = -m_normal0;
+ }
+ }
+ else
+ {
+ m_front = offset0 >= 0.0f && offset1 >= 0.0f && offset2 >= 0.0f;
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = m_normal1;
+ m_upperLimit = m_normal1;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = -m_normal2;
+ m_upperLimit = -m_normal0;
+ }
+ }
+ }
+ else if (hasVertex0)
+ {
+ if (convex1)
+ {
+ m_front = offset0 >= 0.0f || offset1 >= 0.0f;
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = m_normal0;
+ m_upperLimit = -m_normal1;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = m_normal1;
+ m_upperLimit = -m_normal1;
+ }
+ }
+ else
+ {
+ m_front = offset0 >= 0.0f && offset1 >= 0.0f;
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = m_normal1;
+ m_upperLimit = -m_normal1;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = m_normal1;
+ m_upperLimit = -m_normal0;
+ }
+ }
+ }
+ else if (hasVertex3)
+ {
+ if (convex2)
+ {
+ m_front = offset1 >= 0.0f || offset2 >= 0.0f;
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = -m_normal1;
+ m_upperLimit = m_normal2;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = -m_normal1;
+ m_upperLimit = m_normal1;
+ }
+ }
+ else
+ {
+ m_front = offset1 >= 0.0f && offset2 >= 0.0f;
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = -m_normal1;
+ m_upperLimit = m_normal1;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = -m_normal2;
+ m_upperLimit = m_normal1;
+ }
+ }
+ }
+ else
+ {
+ m_front = offset1 >= 0.0f;
+ if (m_front)
+ {
+ m_normal = m_normal1;
+ m_lowerLimit = -m_normal1;
+ m_upperLimit = -m_normal1;
+ }
+ else
+ {
+ m_normal = -m_normal1;
+ m_lowerLimit = m_normal1;
+ m_upperLimit = m_normal1;
+ }
+ }
+
+ // Get polygonB in frameA
+ m_polygonB.count = polygonB->m_count;
+ for (int32 i = 0; i < polygonB->m_count; ++i)
+ {
+ m_polygonB.vertices[i] = b2Mul(m_xf, polygonB->m_vertices[i]);
+ m_polygonB.normals[i] = b2Mul(m_xf.q, polygonB->m_normals[i]);
+ }
+
+ m_radius = polygonB->m_radius + edgeA->m_radius;
+
+ manifold->pointCount = 0;
+
+ b2EPAxis edgeAxis = ComputeEdgeSeparation();
+
+ // If no valid normal can be found than this edge should not collide.
+ if (edgeAxis.type == b2EPAxis::e_unknown)
+ {
+ return;
+ }
+
+ if (edgeAxis.separation > m_radius)
+ {
+ return;
+ }
+
+ b2EPAxis polygonAxis = ComputePolygonSeparation();
+ if (polygonAxis.type != b2EPAxis::e_unknown && polygonAxis.separation > m_radius)
+ {
+ return;
+ }
+
+ // Use hysteresis for jitter reduction.
+ const float32 k_relativeTol = 0.98f;
+ const float32 k_absoluteTol = 0.001f;
+
+ b2EPAxis primaryAxis;
+ if (polygonAxis.type == b2EPAxis::e_unknown)
+ {
+ primaryAxis = edgeAxis;
+ }
+ else if (polygonAxis.separation > k_relativeTol * edgeAxis.separation + k_absoluteTol)
+ {
+ primaryAxis = polygonAxis;
+ }
+ else
+ {
+ primaryAxis = edgeAxis;
+ }
+
+ b2ClipVertex ie[2];
+ b2ReferenceFace rf;
+ if (primaryAxis.type == b2EPAxis::e_edgeA)
+ {
+ manifold->type = b2Manifold::e_faceA;
+
+ // Search for the polygon normal that is most anti-parallel to the edge normal.
+ int32 bestIndex = 0;
+ float32 bestValue = b2Dot(m_normal, m_polygonB.normals[0]);
+ for (int32 i = 1; i < m_polygonB.count; ++i)
+ {
+ float32 value = b2Dot(m_normal, m_polygonB.normals[i]);
+ if (value < bestValue)
+ {
+ bestValue = value;
+ bestIndex = i;
+ }
+ }
+
+ int32 i1 = bestIndex;
+ int32 i2 = i1 + 1 < m_polygonB.count ? i1 + 1 : 0;
+
+ ie[0].v = m_polygonB.vertices[i1];
+ ie[0].id.cf.indexA = 0;
+ ie[0].id.cf.indexB = static_cast<uint8>(i1);
+ ie[0].id.cf.typeA = b2ContactFeature::e_face;
+ ie[0].id.cf.typeB = b2ContactFeature::e_vertex;
+
+ ie[1].v = m_polygonB.vertices[i2];
+ ie[1].id.cf.indexA = 0;
+ ie[1].id.cf.indexB = static_cast<uint8>(i2);
+ ie[1].id.cf.typeA = b2ContactFeature::e_face;
+ ie[1].id.cf.typeB = b2ContactFeature::e_vertex;
+
+ if (m_front)
+ {
+ rf.i1 = 0;
+ rf.i2 = 1;
+ rf.v1 = m_v1;
+ rf.v2 = m_v2;
+ rf.normal = m_normal1;
+ }
+ else
+ {
+ rf.i1 = 1;
+ rf.i2 = 0;
+ rf.v1 = m_v2;
+ rf.v2 = m_v1;
+ rf.normal = -m_normal1;
+ }
+ }
+ else
+ {
+ manifold->type = b2Manifold::e_faceB;
+
+ ie[0].v = m_v1;
+ ie[0].id.cf.indexA = 0;
+ ie[0].id.cf.indexB = static_cast<uint8>(primaryAxis.index);
+ ie[0].id.cf.typeA = b2ContactFeature::e_vertex;
+ ie[0].id.cf.typeB = b2ContactFeature::e_face;
+
+ ie[1].v = m_v2;
+ ie[1].id.cf.indexA = 0;
+ ie[1].id.cf.indexB = static_cast<uint8>(primaryAxis.index);
+ ie[1].id.cf.typeA = b2ContactFeature::e_vertex;
+ ie[1].id.cf.typeB = b2ContactFeature::e_face;
+
+ rf.i1 = primaryAxis.index;
+ rf.i2 = rf.i1 + 1 < m_polygonB.count ? rf.i1 + 1 : 0;
+ rf.v1 = m_polygonB.vertices[rf.i1];
+ rf.v2 = m_polygonB.vertices[rf.i2];
+ rf.normal = m_polygonB.normals[rf.i1];
+ }
+
+ rf.sideNormal1.Set(rf.normal.y, -rf.normal.x);
+ rf.sideNormal2 = -rf.sideNormal1;
+ rf.sideOffset1 = b2Dot(rf.sideNormal1, rf.v1);
+ rf.sideOffset2 = b2Dot(rf.sideNormal2, rf.v2);
+
+ // Clip incident edge against extruded edge1 side edges.
+ b2ClipVertex clipPoints1[2];
+ b2ClipVertex clipPoints2[2];
+ int32 np;
+
+ // Clip to box side 1
+ np = b2ClipSegmentToLine(clipPoints1, ie, rf.sideNormal1, rf.sideOffset1, rf.i1);
+
+ if (np < b2_maxManifoldPoints)
+ {
+ return;
+ }
+
+ // Clip to negative box side 1
+ np = b2ClipSegmentToLine(clipPoints2, clipPoints1, rf.sideNormal2, rf.sideOffset2, rf.i2);
+
+ if (np < b2_maxManifoldPoints)
+ {
+ return;
+ }
+
+ // Now clipPoints2 contains the clipped points.
+ if (primaryAxis.type == b2EPAxis::e_edgeA)
+ {
+ manifold->localNormal = rf.normal;
+ manifold->localPoint = rf.v1;
+ }
+ else
+ {
+ manifold->localNormal = polygonB->m_normals[rf.i1];
+ manifold->localPoint = polygonB->m_vertices[rf.i1];
+ }
+
+ int32 pointCount = 0;
+ for (int32 i = 0; i < b2_maxManifoldPoints; ++i)
+ {
+ float32 separation;
+
+ separation = b2Dot(rf.normal, clipPoints2[i].v - rf.v1);
+
+ if (separation <= m_radius)
+ {
+ b2ManifoldPoint* cp = manifold->points + pointCount;
+
+ if (primaryAxis.type == b2EPAxis::e_edgeA)
+ {
+ cp->localPoint = b2MulT(m_xf, clipPoints2[i].v);
+ cp->id = clipPoints2[i].id;
+ }
+ else
+ {
+ cp->localPoint = clipPoints2[i].v;
+ cp->id.cf.typeA = clipPoints2[i].id.cf.typeB;
+ cp->id.cf.typeB = clipPoints2[i].id.cf.typeA;
+ cp->id.cf.indexA = clipPoints2[i].id.cf.indexB;
+ cp->id.cf.indexB = clipPoints2[i].id.cf.indexA;
+ }
+
+ ++pointCount;
+ }
+ }
+
+ manifold->pointCount = pointCount;
+}
+
+b2EPAxis b2EPCollider::ComputeEdgeSeparation()
+{
+ b2EPAxis axis;
+ axis.type = b2EPAxis::e_edgeA;
+ axis.index = m_front ? 0 : 1;
+ axis.separation = FLT_MAX;
+
+ for (int32 i = 0; i < m_polygonB.count; ++i)
+ {
+ float32 s = b2Dot(m_normal, m_polygonB.vertices[i] - m_v1);
+ if (s < axis.separation)
+ {
+ axis.separation = s;
+ }
+ }
+
+ return axis;
+}
+
+b2EPAxis b2EPCollider::ComputePolygonSeparation()
+{
+ b2EPAxis axis;
+ axis.type = b2EPAxis::e_unknown;
+ axis.index = -1;
+ axis.separation = -FLT_MAX;
+
+ b2Vec2 perp(-m_normal.y, m_normal.x);
+
+ for (int32 i = 0; i < m_polygonB.count; ++i)
+ {
+ b2Vec2 n = -m_polygonB.normals[i];
+
+ float32 s1 = b2Dot(n, m_polygonB.vertices[i] - m_v1);
+ float32 s2 = b2Dot(n, m_polygonB.vertices[i] - m_v2);
+ float32 s = b2Min(s1, s2);
+
+ if (s > m_radius)
+ {
+ // No collision
+ axis.type = b2EPAxis::e_edgeB;
+ axis.index = i;
+ axis.separation = s;
+ return axis;
+ }
+
+ // Adjacency
+ if (b2Dot(n, perp) >= 0.0f)
+ {
+ if (b2Dot(n - m_upperLimit, m_normal) < -b2_angularSlop)
+ {
+ continue;
+ }
+ }
+ else
+ {
+ if (b2Dot(n - m_lowerLimit, m_normal) < -b2_angularSlop)
+ {
+ continue;
+ }
+ }
+
+ if (s > axis.separation)
+ {
+ axis.type = b2EPAxis::e_edgeB;
+ axis.index = i;
+ axis.separation = s;
+ }
+ }
+
+ return axis;
+}
+
+void b2CollideEdgeAndPolygon( b2Manifold* manifold,
+ const b2EdgeShape* edgeA, const b2Transform& xfA,
+ const b2PolygonShape* polygonB, const b2Transform& xfB)
+{
+ b2EPCollider collider;
+ collider.Collide(manifold, edgeA, xfA, polygonB, xfB);
+}
diff --git a/src/3rdparty/Box2D/Collision/b2CollidePolygon.cpp b/src/3rdparty/Box2D/Collision/b2CollidePolygon.cpp
new file mode 100644
index 0000000..10211e7
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2CollidePolygon.cpp
@@ -0,0 +1,239 @@
+/*
+* 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 "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/Shapes/b2PolygonShape.h"
+
+// 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_count;
+ int32 count2 = poly2->m_count;
+ const b2Vec2* n1s = poly1->m_normals;
+ const b2Vec2* v1s = poly1->m_vertices;
+ const b2Vec2* v2s = poly2->m_vertices;
+ b2Transform xf = b2MulT(xf2, xf1);
+
+ int32 bestIndex = 0;
+ float32 maxSeparation = -b2_maxFloat;
+ for (int32 i = 0; i < count1; ++i)
+ {
+ // Get poly1 normal in frame2.
+ b2Vec2 n = b2Mul(xf.q, n1s[i]);
+ b2Vec2 v1 = b2Mul(xf, v1s[i]);
+
+ // Find deepest point for normal i.
+ float32 si = b2_maxFloat;
+ for (int32 j = 0; j < count2; ++j)
+ {
+ float32 sij = b2Dot(n, v2s[j] - v1);
+ if (sij < si)
+ {
+ si = sij;
+ }
+ }
+
+ if (si > maxSeparation)
+ {
+ maxSeparation = si;
+ bestIndex = i;
+ }
+ }
+
+ *edgeIndex = bestIndex;
+ return maxSeparation;
+}
+
+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_count;
+ const b2Vec2* vertices2 = poly2->m_vertices;
+ const b2Vec2* normals2 = poly2->m_normals;
+
+ b2Assert(0 <= edge1 && edge1 < poly1->m_count);
+
+ // 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_tol = 0.1f * b2_linearSlop;
+
+ if (separationB > separationA + k_tol)
+ {
+ 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_count;
+ 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;
+}
diff --git a/src/3rdparty/Box2D/Collision/b2Collision.cpp b/src/3rdparty/Box2D/Collision/b2Collision.cpp
new file mode 100644
index 0000000..10e0b59
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2Collision.cpp
@@ -0,0 +1,252 @@
+/*
+* 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 "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/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);
+ separations[0] = b2Dot(cB - cA, normal);
+ }
+ 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);
+ separations[i] = b2Dot(cB - cA, normal);
+ }
+ }
+ 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);
+ separations[i] = b2Dot(cA - cB, normal);
+ }
+
+ // 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 = static_cast<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;
+}
diff --git a/src/3rdparty/Box2D/Collision/b2Collision.h b/src/3rdparty/Box2D/Collision/b2Collision.h
new file mode 100644
index 0000000..fe1f4cd
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2Collision.h
@@ -0,0 +1,277 @@
+/*
+* Copyright (c) 2006-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_COLLISION_H
+#define B2_COLLISION_H
+
+#include "Box2D/Common/b2Math.h"
+#include <limits.h>
+
+/// @file
+/// Structures and functions used for computing contact points, distance
+/// queries, and TOI queries.
+
+class b2Shape;
+class b2CircleShape;
+class b2EdgeShape;
+class b2PolygonShape;
+
+const uint8 b2_nullFeature = UCHAR_MAX;
+
+/// The features that intersect to form the contact point
+/// This must be 4 bytes or less.
+struct b2ContactFeature
+{
+ enum Type
+ {
+ e_vertex = 0,
+ e_face = 1
+ };
+
+ uint8 indexA; ///< Feature index on shapeA
+ uint8 indexB; ///< Feature index on shapeB
+ uint8 typeA; ///< The feature type on shapeA
+ uint8 typeB; ///< The feature type on shapeB
+};
+
+/// Contact ids to facilitate warm starting.
+union b2ContactID
+{
+ b2ContactFeature cf;
+ uint32 key; ///< Used to quickly compare contact ids.
+};
+
+/// A manifold point is a contact point belonging to a contact
+/// manifold. It holds details related to the geometry and dynamics
+/// of the contact points.
+/// The local point usage depends on the manifold type:
+/// -e_circles: the local center of circleB
+/// -e_faceA: the local center of cirlceB or the clip point of polygonB
+/// -e_faceB: the clip point of polygonA
+/// This structure is stored across time steps, so we keep it small.
+/// Note: the impulses are used for internal caching and may not
+/// provide reliable contact forces, especially for high speed collisions.
+struct b2ManifoldPoint
+{
+ b2Vec2 localPoint; ///< usage depends on manifold type
+ float32 normalImpulse; ///< the non-penetration impulse
+ float32 tangentImpulse; ///< the friction impulse
+ b2ContactID id; ///< uniquely identifies a contact point between two shapes
+};
+
+/// A manifold for two touching convex shapes.
+/// Box2D supports multiple types of contact:
+/// - clip point versus plane with radius
+/// - point versus point with radius (circles)
+/// The local point usage depends on the manifold type:
+/// -e_circles: the local center of circleA
+/// -e_faceA: the center of faceA
+/// -e_faceB: the center of faceB
+/// Similarly the local normal usage:
+/// -e_circles: not used
+/// -e_faceA: the normal on polygonA
+/// -e_faceB: the normal on polygonB
+/// We store contacts in this way so that position correction can
+/// account for movement, which is critical for continuous physics.
+/// All contact scenarios must be expressed in one of these types.
+/// This structure is stored across time steps, so we keep it small.
+struct b2Manifold
+{
+ enum Type
+ {
+ e_circles,
+ e_faceA,
+ e_faceB
+ };
+
+ b2ManifoldPoint points[b2_maxManifoldPoints]; ///< the points of contact
+ b2Vec2 localNormal; ///< not use for Type::e_points
+ b2Vec2 localPoint; ///< usage depends on manifold type
+ Type type;
+ int32 pointCount; ///< the number of manifold points
+};
+
+/// This is used to compute the current state of a contact manifold.
+struct b2WorldManifold
+{
+ /// Evaluate the manifold with supplied transforms. This assumes
+ /// modest motion from the original state. This does not change the
+ /// point count, impulses, etc. The radii must come from the shapes
+ /// that generated the manifold.
+ void Initialize(const b2Manifold* manifold,
+ const b2Transform& xfA, float32 radiusA,
+ const b2Transform& xfB, float32 radiusB);
+
+ b2Vec2 normal; ///< world vector pointing from A to B
+ b2Vec2 points[b2_maxManifoldPoints]; ///< world contact point (point of intersection)
+ float32 separations[b2_maxManifoldPoints]; ///< a negative value indicates overlap, in meters
+};
+
+/// This is used for determining the state of contact points.
+enum b2PointState
+{
+ b2_nullState, ///< point does not exist
+ b2_addState, ///< point was added in the update
+ b2_persistState, ///< point persisted across the update
+ b2_removeState ///< point was removed in the update
+};
+
+/// Compute the point states given two manifolds. The states pertain to the transition from manifold1
+/// to manifold2. So state1 is either persist or remove while state2 is either add or persist.
+void b2GetPointStates(b2PointState state1[b2_maxManifoldPoints], b2PointState state2[b2_maxManifoldPoints],
+ const b2Manifold* manifold1, const b2Manifold* manifold2);
+
+/// Used for computing contact manifolds.
+struct b2ClipVertex
+{
+ b2Vec2 v;
+ b2ContactID id;
+};
+
+/// Ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
+struct b2RayCastInput
+{
+ b2Vec2 p1, p2;
+ float32 maxFraction;
+};
+
+/// Ray-cast output data. The ray hits at p1 + fraction * (p2 - p1), where p1 and p2
+/// come from b2RayCastInput.
+struct b2RayCastOutput
+{
+ b2Vec2 normal;
+ float32 fraction;
+};
+
+/// An axis aligned bounding box.
+struct b2AABB
+{
+ /// Verify that the bounds are sorted.
+ bool IsValid() const;
+
+ /// Get the center of the AABB.
+ b2Vec2 GetCenter() const
+ {
+ return 0.5f * (lowerBound + upperBound);
+ }
+
+ /// Get the extents of the AABB (half-widths).
+ b2Vec2 GetExtents() const
+ {
+ return 0.5f * (upperBound - lowerBound);
+ }
+
+ /// Get the perimeter length
+ float32 GetPerimeter() const
+ {
+ float32 wx = upperBound.x - lowerBound.x;
+ float32 wy = upperBound.y - lowerBound.y;
+ return 2.0f * (wx + wy);
+ }
+
+ /// Combine an AABB into this one.
+ void Combine(const b2AABB& aabb)
+ {
+ lowerBound = b2Min(lowerBound, aabb.lowerBound);
+ upperBound = b2Max(upperBound, aabb.upperBound);
+ }
+
+ /// Combine two AABBs into this one.
+ void Combine(const b2AABB& aabb1, const b2AABB& aabb2)
+ {
+ lowerBound = b2Min(aabb1.lowerBound, aabb2.lowerBound);
+ upperBound = b2Max(aabb1.upperBound, aabb2.upperBound);
+ }
+
+ /// Does this aabb contain the provided AABB.
+ bool Contains(const b2AABB& aabb) const
+ {
+ bool result = true;
+ result = result && lowerBound.x <= aabb.lowerBound.x;
+ result = result && lowerBound.y <= aabb.lowerBound.y;
+ result = result && aabb.upperBound.x <= upperBound.x;
+ result = result && aabb.upperBound.y <= upperBound.y;
+ return result;
+ }
+
+ bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input) const;
+
+ b2Vec2 lowerBound; ///< the lower vertex
+ b2Vec2 upperBound; ///< the upper vertex
+};
+
+/// Compute the collision manifold between two circles.
+void b2CollideCircles(b2Manifold* manifold,
+ const b2CircleShape* circleA, const b2Transform& xfA,
+ const b2CircleShape* circleB, const b2Transform& xfB);
+
+/// Compute the collision manifold between a polygon and a circle.
+void b2CollidePolygonAndCircle(b2Manifold* manifold,
+ const b2PolygonShape* polygonA, const b2Transform& xfA,
+ const b2CircleShape* circleB, const b2Transform& xfB);
+
+/// Compute the collision manifold between two polygons.
+void b2CollidePolygons(b2Manifold* manifold,
+ const b2PolygonShape* polygonA, const b2Transform& xfA,
+ const b2PolygonShape* polygonB, const b2Transform& xfB);
+
+/// Compute the collision manifold between an edge and a circle.
+void b2CollideEdgeAndCircle(b2Manifold* manifold,
+ const b2EdgeShape* polygonA, const b2Transform& xfA,
+ const b2CircleShape* circleB, const b2Transform& xfB);
+
+/// Compute the collision manifold between an edge and a circle.
+void b2CollideEdgeAndPolygon(b2Manifold* manifold,
+ const b2EdgeShape* edgeA, const b2Transform& xfA,
+ const b2PolygonShape* circleB, const b2Transform& xfB);
+
+/// Clipping for contact manifolds.
+int32 b2ClipSegmentToLine(b2ClipVertex vOut[2], const b2ClipVertex vIn[2],
+ const b2Vec2& normal, float32 offset, int32 vertexIndexA);
+
+/// Determine if two generic shapes overlap.
+bool b2TestOverlap( const b2Shape* shapeA, int32 indexA,
+ const b2Shape* shapeB, int32 indexB,
+ const b2Transform& xfA, const b2Transform& xfB);
+
+// ---------------- Inline Functions ------------------------------------------
+
+inline bool b2AABB::IsValid() const
+{
+ b2Vec2 d = upperBound - lowerBound;
+ bool valid = d.x >= 0.0f && d.y >= 0.0f;
+ valid = valid && lowerBound.IsValid() && upperBound.IsValid();
+ return valid;
+}
+
+inline bool b2TestOverlap(const b2AABB& a, const b2AABB& b)
+{
+ b2Vec2 d1, d2;
+ d1 = b.lowerBound - a.upperBound;
+ d2 = a.lowerBound - b.upperBound;
+
+ if (d1.x > 0.0f || d1.y > 0.0f)
+ return false;
+
+ if (d2.x > 0.0f || d2.y > 0.0f)
+ return false;
+
+ return true;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/b2Distance.cpp b/src/3rdparty/Box2D/Collision/b2Distance.cpp
new file mode 100644
index 0000000..194d747
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2Distance.cpp
@@ -0,0 +1,737 @@
+/*
+* 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 "Box2D/Collision/b2Distance.h"
+#include "Box2D/Collision/Shapes/b2CircleShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+#include "Box2D/Collision/Shapes/b2ChainShape.h"
+#include "Box2D/Collision/Shapes/b2PolygonShape.h"
+
+// GJK using Voronoi regions (Christer Ericson) and Barycentric coordinates.
+int32 b2_gjkCalls, b2_gjkIters, b2_gjkMaxIters;
+
+void b2DistanceProxy::Set(const b2Shape* shape, int32 index)
+{
+ switch (shape->GetType())
+ {
+ case b2Shape::e_circle:
+ {
+ const b2CircleShape* circle = static_cast<const b2CircleShape*>(shape);
+ m_vertices = &circle->m_p;
+ m_count = 1;
+ m_radius = circle->m_radius;
+ }
+ break;
+
+ case b2Shape::e_polygon:
+ {
+ const b2PolygonShape* polygon = static_cast<const b2PolygonShape*>(shape);
+ m_vertices = polygon->m_vertices;
+ m_count = polygon->m_count;
+ m_radius = polygon->m_radius;
+ }
+ break;
+
+ case b2Shape::e_chain:
+ {
+ const b2ChainShape* chain = static_cast<const b2ChainShape*>(shape);
+ b2Assert(0 <= index && index < chain->m_count);
+
+ m_buffer[0] = chain->m_vertices[index];
+ if (index + 1 < chain->m_count)
+ {
+ m_buffer[1] = chain->m_vertices[index + 1];
+ }
+ else
+ {
+ m_buffer[1] = chain->m_vertices[0];
+ }
+
+ m_vertices = m_buffer;
+ m_count = 2;
+ m_radius = chain->m_radius;
+ }
+ break;
+
+ case b2Shape::e_edge:
+ {
+ const b2EdgeShape* edge = static_cast<const b2EdgeShape*>(shape);
+ m_vertices = &edge->m_vertex1;
+ m_count = 2;
+ m_radius = edge->m_radius;
+ }
+ break;
+
+ default:
+ b2Assert(false);
+ }
+}
+
+void b2DistanceProxy::Set(const b2Vec2* vertices, int32 count, float32 radius)
+{
+ m_vertices = vertices;
+ m_count = count;
+ m_radius = radius;
+}
+
+struct b2SimplexVertex
+{
+ b2Vec2 wA; // support point in proxyA
+ b2Vec2 wB; // support point in proxyB
+ b2Vec2 w; // wB - wA
+ float32 a; // barycentric coordinate for closest point
+ int32 indexA; // wA index
+ int32 indexB; // wB index
+};
+
+struct b2Simplex
+{
+ void ReadCache( const b2SimplexCache* cache,
+ const b2DistanceProxy* proxyA, const b2Transform& transformA,
+ const b2DistanceProxy* proxyB, const b2Transform& transformB)
+ {
+ b2Assert(cache->count <= 3);
+
+ // Copy data from cache.
+ m_count = cache->count;
+ b2SimplexVertex* vertices = &m_v1;
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2SimplexVertex* v = vertices + i;
+ v->indexA = cache->indexA[i];
+ v->indexB = cache->indexB[i];
+ b2Vec2 wALocal = proxyA->GetVertex(v->indexA);
+ b2Vec2 wBLocal = proxyB->GetVertex(v->indexB);
+ v->wA = b2Mul(transformA, wALocal);
+ v->wB = b2Mul(transformB, wBLocal);
+ v->w = v->wB - v->wA;
+ v->a = 0.0f;
+ }
+
+ // Compute the new simplex metric, if it is substantially different than
+ // old metric then flush the simplex.
+ if (m_count > 1)
+ {
+ float32 metric1 = cache->metric;
+ float32 metric2 = GetMetric();
+ if (metric2 < 0.5f * metric1 || 2.0f * metric1 < metric2 || metric2 < b2_epsilon)
+ {
+ // Reset the simplex.
+ m_count = 0;
+ }
+ }
+
+ // If the cache is empty or invalid ...
+ if (m_count == 0)
+ {
+ b2SimplexVertex* v = vertices + 0;
+ v->indexA = 0;
+ v->indexB = 0;
+ b2Vec2 wALocal = proxyA->GetVertex(0);
+ b2Vec2 wBLocal = proxyB->GetVertex(0);
+ v->wA = b2Mul(transformA, wALocal);
+ v->wB = b2Mul(transformB, wBLocal);
+ v->w = v->wB - v->wA;
+ v->a = 1.0f;
+ m_count = 1;
+ }
+ }
+
+ void WriteCache(b2SimplexCache* cache) const
+ {
+ cache->metric = GetMetric();
+ cache->count = uint16(m_count);
+ const b2SimplexVertex* vertices = &m_v1;
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ cache->indexA[i] = uint8(vertices[i].indexA);
+ cache->indexB[i] = uint8(vertices[i].indexB);
+ }
+ }
+
+ b2Vec2 GetSearchDirection() const
+ {
+ switch (m_count)
+ {
+ case 1:
+ return -m_v1.w;
+
+ case 2:
+ {
+ b2Vec2 e12 = m_v2.w - m_v1.w;
+ float32 sgn = b2Cross(e12, -m_v1.w);
+ if (sgn > 0.0f)
+ {
+ // Origin is left of e12.
+ return b2Cross(1.0f, e12);
+ }
+ else
+ {
+ // Origin is right of e12.
+ return b2Cross(e12, 1.0f);
+ }
+ }
+
+ default:
+ b2Assert(false);
+ return b2Vec2_zero;
+ }
+ }
+
+ b2Vec2 GetClosestPoint() const
+ {
+ switch (m_count)
+ {
+ case 0:
+ b2Assert(false);
+ return b2Vec2_zero;
+
+ case 1:
+ return m_v1.w;
+
+ case 2:
+ return m_v1.a * m_v1.w + m_v2.a * m_v2.w;
+
+ case 3:
+ return b2Vec2_zero;
+
+ default:
+ b2Assert(false);
+ return b2Vec2_zero;
+ }
+ }
+
+ void GetWitnessPoints(b2Vec2* pA, b2Vec2* pB) const
+ {
+ switch (m_count)
+ {
+ case 0:
+ b2Assert(false);
+ break;
+
+ case 1:
+ *pA = m_v1.wA;
+ *pB = m_v1.wB;
+ break;
+
+ case 2:
+ *pA = m_v1.a * m_v1.wA + m_v2.a * m_v2.wA;
+ *pB = m_v1.a * m_v1.wB + m_v2.a * m_v2.wB;
+ break;
+
+ case 3:
+ *pA = m_v1.a * m_v1.wA + m_v2.a * m_v2.wA + m_v3.a * m_v3.wA;
+ *pB = *pA;
+ break;
+
+ default:
+ b2Assert(false);
+ break;
+ }
+ }
+
+ float32 GetMetric() const
+ {
+ switch (m_count)
+ {
+ case 0:
+ b2Assert(false);
+ return 0.0f;
+
+ case 1:
+ return 0.0f;
+
+ case 2:
+ return b2Distance(m_v1.w, m_v2.w);
+
+ case 3:
+ return b2Cross(m_v2.w - m_v1.w, m_v3.w - m_v1.w);
+
+ default:
+ b2Assert(false);
+ return 0.0f;
+ }
+ }
+
+ void Solve2();
+ void Solve3();
+
+ b2SimplexVertex m_v1, m_v2, m_v3;
+ int32 m_count;
+};
+
+
+// Solve a line segment using barycentric coordinates.
+//
+// p = a1 * w1 + a2 * w2
+// a1 + a2 = 1
+//
+// The vector from the origin to the closest point on the line is
+// perpendicular to the line.
+// e12 = w2 - w1
+// dot(p, e) = 0
+// a1 * dot(w1, e) + a2 * dot(w2, e) = 0
+//
+// 2-by-2 linear system
+// [1 1 ][a1] = [1]
+// [w1.e12 w2.e12][a2] = [0]
+//
+// Define
+// d12_1 = dot(w2, e12)
+// d12_2 = -dot(w1, e12)
+// d12 = d12_1 + d12_2
+//
+// Solution
+// a1 = d12_1 / d12
+// a2 = d12_2 / d12
+void b2Simplex::Solve2()
+{
+ b2Vec2 w1 = m_v1.w;
+ b2Vec2 w2 = m_v2.w;
+ b2Vec2 e12 = w2 - w1;
+
+ // w1 region
+ float32 d12_2 = -b2Dot(w1, e12);
+ if (d12_2 <= 0.0f)
+ {
+ // a2 <= 0, so we clamp it to 0
+ m_v1.a = 1.0f;
+ m_count = 1;
+ return;
+ }
+
+ // w2 region
+ float32 d12_1 = b2Dot(w2, e12);
+ if (d12_1 <= 0.0f)
+ {
+ // a1 <= 0, so we clamp it to 0
+ m_v2.a = 1.0f;
+ m_count = 1;
+ m_v1 = m_v2;
+ return;
+ }
+
+ // Must be in e12 region.
+ float32 inv_d12 = 1.0f / (d12_1 + d12_2);
+ m_v1.a = d12_1 * inv_d12;
+ m_v2.a = d12_2 * inv_d12;
+ m_count = 2;
+}
+
+// Possible regions:
+// - points[2]
+// - edge points[0]-points[2]
+// - edge points[1]-points[2]
+// - inside the triangle
+void b2Simplex::Solve3()
+{
+ b2Vec2 w1 = m_v1.w;
+ b2Vec2 w2 = m_v2.w;
+ b2Vec2 w3 = m_v3.w;
+
+ // Edge12
+ // [1 1 ][a1] = [1]
+ // [w1.e12 w2.e12][a2] = [0]
+ // a3 = 0
+ b2Vec2 e12 = w2 - w1;
+ float32 w1e12 = b2Dot(w1, e12);
+ float32 w2e12 = b2Dot(w2, e12);
+ float32 d12_1 = w2e12;
+ float32 d12_2 = -w1e12;
+
+ // Edge13
+ // [1 1 ][a1] = [1]
+ // [w1.e13 w3.e13][a3] = [0]
+ // a2 = 0
+ b2Vec2 e13 = w3 - w1;
+ float32 w1e13 = b2Dot(w1, e13);
+ float32 w3e13 = b2Dot(w3, e13);
+ float32 d13_1 = w3e13;
+ float32 d13_2 = -w1e13;
+
+ // Edge23
+ // [1 1 ][a2] = [1]
+ // [w2.e23 w3.e23][a3] = [0]
+ // a1 = 0
+ b2Vec2 e23 = w3 - w2;
+ float32 w2e23 = b2Dot(w2, e23);
+ float32 w3e23 = b2Dot(w3, e23);
+ float32 d23_1 = w3e23;
+ float32 d23_2 = -w2e23;
+
+ // Triangle123
+ float32 n123 = b2Cross(e12, e13);
+
+ float32 d123_1 = n123 * b2Cross(w2, w3);
+ float32 d123_2 = n123 * b2Cross(w3, w1);
+ float32 d123_3 = n123 * b2Cross(w1, w2);
+
+ // w1 region
+ if (d12_2 <= 0.0f && d13_2 <= 0.0f)
+ {
+ m_v1.a = 1.0f;
+ m_count = 1;
+ return;
+ }
+
+ // e12
+ if (d12_1 > 0.0f && d12_2 > 0.0f && d123_3 <= 0.0f)
+ {
+ float32 inv_d12 = 1.0f / (d12_1 + d12_2);
+ m_v1.a = d12_1 * inv_d12;
+ m_v2.a = d12_2 * inv_d12;
+ m_count = 2;
+ return;
+ }
+
+ // e13
+ if (d13_1 > 0.0f && d13_2 > 0.0f && d123_2 <= 0.0f)
+ {
+ float32 inv_d13 = 1.0f / (d13_1 + d13_2);
+ m_v1.a = d13_1 * inv_d13;
+ m_v3.a = d13_2 * inv_d13;
+ m_count = 2;
+ m_v2 = m_v3;
+ return;
+ }
+
+ // w2 region
+ if (d12_1 <= 0.0f && d23_2 <= 0.0f)
+ {
+ m_v2.a = 1.0f;
+ m_count = 1;
+ m_v1 = m_v2;
+ return;
+ }
+
+ // w3 region
+ if (d13_1 <= 0.0f && d23_1 <= 0.0f)
+ {
+ m_v3.a = 1.0f;
+ m_count = 1;
+ m_v1 = m_v3;
+ return;
+ }
+
+ // e23
+ if (d23_1 > 0.0f && d23_2 > 0.0f && d123_1 <= 0.0f)
+ {
+ float32 inv_d23 = 1.0f / (d23_1 + d23_2);
+ m_v2.a = d23_1 * inv_d23;
+ m_v3.a = d23_2 * inv_d23;
+ m_count = 2;
+ m_v1 = m_v3;
+ return;
+ }
+
+ // Must be in triangle123
+ float32 inv_d123 = 1.0f / (d123_1 + d123_2 + d123_3);
+ m_v1.a = d123_1 * inv_d123;
+ m_v2.a = d123_2 * inv_d123;
+ m_v3.a = d123_3 * inv_d123;
+ m_count = 3;
+}
+
+void b2Distance(b2DistanceOutput* output,
+ b2SimplexCache* cache,
+ const b2DistanceInput* input)
+{
+ ++b2_gjkCalls;
+
+ const b2DistanceProxy* proxyA = &input->proxyA;
+ const b2DistanceProxy* proxyB = &input->proxyB;
+
+ b2Transform transformA = input->transformA;
+ b2Transform transformB = input->transformB;
+
+ // Initialize the simplex.
+ b2Simplex simplex;
+ simplex.ReadCache(cache, proxyA, transformA, proxyB, transformB);
+
+ // Get simplex vertices as an array.
+ b2SimplexVertex* vertices = &simplex.m_v1;
+ const int32 k_maxIters = 20;
+
+ // These store the vertices of the last simplex so that we
+ // can check for duplicates and prevent cycling.
+ int32 saveA[3], saveB[3];
+ int32 saveCount = 0;
+
+ // Main iteration loop.
+ int32 iter = 0;
+ while (iter < k_maxIters)
+ {
+ // Copy simplex so we can identify duplicates.
+ saveCount = simplex.m_count;
+ for (int32 i = 0; i < saveCount; ++i)
+ {
+ saveA[i] = vertices[i].indexA;
+ saveB[i] = vertices[i].indexB;
+ }
+
+ switch (simplex.m_count)
+ {
+ case 1:
+ break;
+
+ case 2:
+ simplex.Solve2();
+ break;
+
+ case 3:
+ simplex.Solve3();
+ break;
+
+ default:
+ b2Assert(false);
+ }
+
+ // If we have 3 points, then the origin is in the corresponding triangle.
+ if (simplex.m_count == 3)
+ {
+ break;
+ }
+
+ // Get search direction.
+ b2Vec2 d = simplex.GetSearchDirection();
+
+ // Ensure the search direction is numerically fit.
+ if (d.LengthSquared() < b2_epsilon * b2_epsilon)
+ {
+ // The origin is probably contained by a line segment
+ // or triangle. Thus the shapes are overlapped.
+
+ // We can't return zero here even though there may be overlap.
+ // In case the simplex is a point, segment, or triangle it is difficult
+ // to determine if the origin is contained in the CSO or very close to it.
+ break;
+ }
+
+ // Compute a tentative new simplex vertex using support points.
+ b2SimplexVertex* vertex = vertices + simplex.m_count;
+ vertex->indexA = proxyA->GetSupport(b2MulT(transformA.q, -d));
+ vertex->wA = b2Mul(transformA, proxyA->GetVertex(vertex->indexA));
+ b2Vec2 wBLocal;
+ vertex->indexB = proxyB->GetSupport(b2MulT(transformB.q, d));
+ vertex->wB = b2Mul(transformB, proxyB->GetVertex(vertex->indexB));
+ vertex->w = vertex->wB - vertex->wA;
+
+ // Iteration count is equated to the number of support point calls.
+ ++iter;
+ ++b2_gjkIters;
+
+ // Check for duplicate support points. This is the main termination criteria.
+ bool duplicate = false;
+ for (int32 i = 0; i < saveCount; ++i)
+ {
+ if (vertex->indexA == saveA[i] && vertex->indexB == saveB[i])
+ {
+ duplicate = true;
+ break;
+ }
+ }
+
+ // If we found a duplicate support point we must exit to avoid cycling.
+ if (duplicate)
+ {
+ break;
+ }
+
+ // New vertex is ok and needed.
+ ++simplex.m_count;
+ }
+
+ b2_gjkMaxIters = b2Max(b2_gjkMaxIters, iter);
+
+ // Prepare output.
+ simplex.GetWitnessPoints(&output->pointA, &output->pointB);
+ output->distance = b2Distance(output->pointA, output->pointB);
+ output->iterations = iter;
+
+ // Cache the simplex.
+ simplex.WriteCache(cache);
+
+ // Apply radii if requested.
+ if (input->useRadii)
+ {
+ float32 rA = proxyA->m_radius;
+ float32 rB = proxyB->m_radius;
+
+ if (output->distance > rA + rB && output->distance > b2_epsilon)
+ {
+ // Shapes are still no overlapped.
+ // Move the witness points to the outer surface.
+ output->distance -= rA + rB;
+ b2Vec2 normal = output->pointB - output->pointA;
+ normal.Normalize();
+ output->pointA += rA * normal;
+ output->pointB -= rB * normal;
+ }
+ else
+ {
+ // Shapes are overlapped when radii are considered.
+ // Move the witness points to the middle.
+ b2Vec2 p = 0.5f * (output->pointA + output->pointB);
+ output->pointA = p;
+ output->pointB = p;
+ output->distance = 0.0f;
+ }
+ }
+}
+
+// GJK-raycast
+// Algorithm by Gino van den Bergen.
+// "Smooth Mesh Contacts with GJK" in Game Physics Pearls. 2010
+bool b2ShapeCast(b2ShapeCastOutput * output, const b2ShapeCastInput * input)
+{
+ output->iterations = 0;
+ output->lambda = 1.0f;
+ output->normal.SetZero();
+ output->point.SetZero();
+
+ const b2DistanceProxy* proxyA = &input->proxyA;
+ const b2DistanceProxy* proxyB = &input->proxyB;
+
+ float32 radiusA = b2Max(proxyA->m_radius, b2_polygonRadius);
+ float32 radiusB = b2Max(proxyB->m_radius, b2_polygonRadius);
+ float32 radius = radiusA + radiusB;
+
+ b2Transform xfA = input->transformA;
+ b2Transform xfB = input->transformB;
+
+ b2Vec2 r = input->translationB;
+ b2Vec2 n(0.0f, 0.0f);
+ float32 lambda = 0.0f;
+
+ // Initial simplex
+ b2Simplex simplex;
+ simplex.m_count = 0;
+
+ // Get simplex vertices as an array.
+ b2SimplexVertex* vertices = &simplex.m_v1;
+
+ // Get support point in -r direction
+ int32 indexA = proxyA->GetSupport(b2MulT(xfA.q, -r));
+ b2Vec2 wA = b2Mul(xfA, proxyA->GetVertex(indexA));
+ int32 indexB = proxyB->GetSupport(b2MulT(xfB.q, r));
+ b2Vec2 wB = b2Mul(xfB, proxyB->GetVertex(indexB));
+ b2Vec2 v = wA - wB;
+
+ // Sigma is the target distance between polygons
+ float32 sigma = b2Max(b2_polygonRadius, radius - b2_polygonRadius);
+ const float32 tolerance = 0.5f * b2_linearSlop;
+
+ // Main iteration loop.
+ const int32 k_maxIters = 20;
+ int32 iter = 0;
+ while (iter < k_maxIters && b2Abs(v.Length() - sigma) > tolerance)
+ {
+ b2Assert(simplex.m_count < 3);
+
+ output->iterations += 1;
+
+ // Support in direction -v (A - B)
+ indexA = proxyA->GetSupport(b2MulT(xfA.q, -v));
+ wA = b2Mul(xfA, proxyA->GetVertex(indexA));
+ indexB = proxyB->GetSupport(b2MulT(xfB.q, v));
+ wB = b2Mul(xfB, proxyB->GetVertex(indexB));
+ b2Vec2 p = wA - wB;
+
+ // -v is a normal at p
+ v.Normalize();
+
+ // Intersect ray with plane
+ float32 vp = b2Dot(v, p);
+ float32 vr = b2Dot(v, r);
+ if (vp - sigma > lambda * vr)
+ {
+ if (vr <= 0.0f)
+ {
+ return false;
+ }
+
+ lambda = (vp - sigma) / vr;
+ if (lambda > 1.0f)
+ {
+ return false;
+ }
+
+ n = -v;
+ simplex.m_count = 0;
+ }
+
+ // Reverse simplex since it works with B - A.
+ // Shift by lambda * r because we want the closest point to the current clip point.
+ // Note that the support point p is not shifted because we want the plane equation
+ // to be formed in unshifted space.
+ b2SimplexVertex* vertex = vertices + simplex.m_count;
+ vertex->indexA = indexB;
+ vertex->wA = wB + lambda * r;
+ vertex->indexB = indexA;
+ vertex->wB = wA;
+ vertex->w = vertex->wB - vertex->wA;
+ vertex->a = 1.0f;
+ simplex.m_count += 1;
+
+ switch (simplex.m_count)
+ {
+ case 1:
+ break;
+
+ case 2:
+ simplex.Solve2();
+ break;
+
+ case 3:
+ simplex.Solve3();
+ break;
+
+ default:
+ b2Assert(false);
+ }
+
+ // If we have 3 points, then the origin is in the corresponding triangle.
+ if (simplex.m_count == 3)
+ {
+ // Overlap
+ return false;
+ }
+
+ // Get search direction.
+ v = simplex.GetClosestPoint();
+
+ // Iteration count is equated to the number of support point calls.
+ ++iter;
+ }
+
+ // Prepare output.
+ b2Vec2 pointA, pointB;
+ simplex.GetWitnessPoints(&pointB, &pointA);
+
+ if (v.LengthSquared() > 0.0f)
+ {
+ n = -v;
+ n.Normalize();
+ }
+
+ output->point = pointA + radiusA * n;
+ output->normal = n;
+ output->lambda = lambda;
+ output->iterations = iter;
+ return true;
+}
diff --git a/src/3rdparty/Box2D/Collision/b2Distance.h b/src/3rdparty/Box2D/Collision/b2Distance.h
new file mode 100644
index 0000000..d6eb985
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2Distance.h
@@ -0,0 +1,166 @@
+
+/*
+* Copyright (c) 2006-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_DISTANCE_H
+#define B2_DISTANCE_H
+
+#include "Box2D/Common/b2Math.h"
+
+class b2Shape;
+
+/// A distance proxy is used by the GJK algorithm.
+/// It encapsulates any shape.
+struct b2DistanceProxy
+{
+ b2DistanceProxy() : m_vertices(nullptr), m_count(0), m_radius(0.0f) {}
+
+ /// Initialize the proxy using the given shape. The shape
+ /// must remain in scope while the proxy is in use.
+ void Set(const b2Shape* shape, int32 index);
+
+ /// Initialize the proxy using a vertex cloud and radius. The vertices
+ /// must remain in scope while the proxy is in use.
+ void Set(const b2Vec2* vertices, int32 count, float32 radius);
+
+ /// Get the supporting vertex index in the given direction.
+ int32 GetSupport(const b2Vec2& d) const;
+
+ /// Get the supporting vertex in the given direction.
+ const b2Vec2& GetSupportVertex(const b2Vec2& d) const;
+
+ /// Get the vertex count.
+ int32 GetVertexCount() const;
+
+ /// Get a vertex by index. Used by b2Distance.
+ const b2Vec2& GetVertex(int32 index) const;
+
+ b2Vec2 m_buffer[2];
+ const b2Vec2* m_vertices;
+ int32 m_count;
+ float32 m_radius;
+};
+
+/// Used to warm start b2Distance.
+/// Set count to zero on first call.
+struct b2SimplexCache
+{
+ float32 metric; ///< length or area
+ uint16 count;
+ uint8 indexA[3]; ///< vertices on shape A
+ uint8 indexB[3]; ///< vertices on shape B
+};
+
+/// Input for b2Distance.
+/// You have to option to use the shape radii
+/// in the computation. Even
+struct b2DistanceInput
+{
+ b2DistanceProxy proxyA;
+ b2DistanceProxy proxyB;
+ b2Transform transformA;
+ b2Transform transformB;
+ bool useRadii;
+};
+
+/// Output for b2Distance.
+struct b2DistanceOutput
+{
+ b2Vec2 pointA; ///< closest point on shapeA
+ b2Vec2 pointB; ///< closest point on shapeB
+ float32 distance;
+ int32 iterations; ///< number of GJK iterations used
+};
+
+/// Compute the closest points between two shapes. Supports any combination of:
+/// b2CircleShape, b2PolygonShape, b2EdgeShape. The simplex cache is input/output.
+/// On the first call set b2SimplexCache.count to zero.
+void b2Distance(b2DistanceOutput* output,
+ b2SimplexCache* cache,
+ const b2DistanceInput* input);
+
+/// Input parameters for b2ShapeCast
+struct b2ShapeCastInput
+{
+ b2DistanceProxy proxyA;
+ b2DistanceProxy proxyB;
+ b2Transform transformA;
+ b2Transform transformB;
+ b2Vec2 translationB;
+};
+
+/// Output results for b2ShapeCast
+struct b2ShapeCastOutput
+{
+ b2Vec2 point;
+ b2Vec2 normal;
+ float32 lambda;
+ int32 iterations;
+};
+
+/// Perform a linear shape cast of shape B moving and shape A fixed. Determines the hit point, normal, and translation fraction.
+bool b2ShapeCast(b2ShapeCastOutput* output, const b2ShapeCastInput* input);
+
+//////////////////////////////////////////////////////////////////////////
+
+inline int32 b2DistanceProxy::GetVertexCount() const
+{
+ return m_count;
+}
+
+inline const b2Vec2& b2DistanceProxy::GetVertex(int32 index) const
+{
+ b2Assert(0 <= index && index < m_count);
+ return m_vertices[index];
+}
+
+inline int32 b2DistanceProxy::GetSupport(const b2Vec2& d) const
+{
+ int32 bestIndex = 0;
+ float32 bestValue = b2Dot(m_vertices[0], d);
+ for (int32 i = 1; i < m_count; ++i)
+ {
+ float32 value = b2Dot(m_vertices[i], d);
+ if (value > bestValue)
+ {
+ bestIndex = i;
+ bestValue = value;
+ }
+ }
+
+ return bestIndex;
+}
+
+inline const b2Vec2& b2DistanceProxy::GetSupportVertex(const b2Vec2& d) const
+{
+ int32 bestIndex = 0;
+ float32 bestValue = b2Dot(m_vertices[0], d);
+ for (int32 i = 1; i < m_count; ++i)
+ {
+ float32 value = b2Dot(m_vertices[i], d);
+ if (value > bestValue)
+ {
+ bestIndex = i;
+ bestValue = value;
+ }
+ }
+
+ return m_vertices[bestIndex];
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/b2DynamicTree.cpp b/src/3rdparty/Box2D/Collision/b2DynamicTree.cpp
new file mode 100644
index 0000000..4432ec1
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2DynamicTree.cpp
@@ -0,0 +1,780 @@
+/*
+* 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.
+*/
+
+#include "Box2D/Collision/b2DynamicTree.h"
+#include <string.h>
+
+b2DynamicTree::b2DynamicTree()
+{
+ m_root = b2_nullNode;
+
+ m_nodeCapacity = 16;
+ m_nodeCount = 0;
+ m_nodes = (b2TreeNode*)b2Alloc(m_nodeCapacity * sizeof(b2TreeNode));
+ memset(m_nodes, 0, m_nodeCapacity * sizeof(b2TreeNode));
+
+ // Build a linked list for the free list.
+ for (int32 i = 0; i < m_nodeCapacity - 1; ++i)
+ {
+ m_nodes[i].next = i + 1;
+ m_nodes[i].height = -1;
+ }
+ m_nodes[m_nodeCapacity-1].next = b2_nullNode;
+ m_nodes[m_nodeCapacity-1].height = -1;
+ m_freeList = 0;
+
+ m_path = 0;
+
+ m_insertionCount = 0;
+}
+
+b2DynamicTree::~b2DynamicTree()
+{
+ // This frees the entire tree in one shot.
+ b2Free(m_nodes);
+}
+
+// Allocate a node from the pool. Grow the pool if necessary.
+int32 b2DynamicTree::AllocateNode()
+{
+ // Expand the node pool as needed.
+ if (m_freeList == b2_nullNode)
+ {
+ b2Assert(m_nodeCount == m_nodeCapacity);
+
+ // The free list is empty. Rebuild a bigger pool.
+ b2TreeNode* oldNodes = m_nodes;
+ m_nodeCapacity *= 2;
+ m_nodes = (b2TreeNode*)b2Alloc(m_nodeCapacity * sizeof(b2TreeNode));
+ memcpy(m_nodes, oldNodes, m_nodeCount * sizeof(b2TreeNode));
+ b2Free(oldNodes);
+
+ // Build a linked list for the free list. The parent
+ // pointer becomes the "next" pointer.
+ for (int32 i = m_nodeCount; i < m_nodeCapacity - 1; ++i)
+ {
+ m_nodes[i].next = i + 1;
+ m_nodes[i].height = -1;
+ }
+ m_nodes[m_nodeCapacity-1].next = b2_nullNode;
+ m_nodes[m_nodeCapacity-1].height = -1;
+ m_freeList = m_nodeCount;
+ }
+
+ // Peel a node off the free list.
+ int32 nodeId = m_freeList;
+ m_freeList = m_nodes[nodeId].next;
+ m_nodes[nodeId].parent = b2_nullNode;
+ m_nodes[nodeId].child1 = b2_nullNode;
+ m_nodes[nodeId].child2 = b2_nullNode;
+ m_nodes[nodeId].height = 0;
+ m_nodes[nodeId].userData = nullptr;
+ ++m_nodeCount;
+ return nodeId;
+}
+
+// Return a node to the pool.
+void b2DynamicTree::FreeNode(int32 nodeId)
+{
+ b2Assert(0 <= nodeId && nodeId < m_nodeCapacity);
+ b2Assert(0 < m_nodeCount);
+ m_nodes[nodeId].next = m_freeList;
+ m_nodes[nodeId].height = -1;
+ m_freeList = nodeId;
+ --m_nodeCount;
+}
+
+// Create a proxy in the tree as a leaf node. We return the index
+// of the node instead of a pointer so that we can grow
+// the node pool.
+int32 b2DynamicTree::CreateProxy(const b2AABB& aabb, void* userData)
+{
+ int32 proxyId = AllocateNode();
+
+ // Fatten the aabb.
+ b2Vec2 r(b2_aabbExtension, b2_aabbExtension);
+ m_nodes[proxyId].aabb.lowerBound = aabb.lowerBound - r;
+ m_nodes[proxyId].aabb.upperBound = aabb.upperBound + r;
+ m_nodes[proxyId].userData = userData;
+ m_nodes[proxyId].height = 0;
+
+ InsertLeaf(proxyId);
+
+ return proxyId;
+}
+
+void b2DynamicTree::DestroyProxy(int32 proxyId)
+{
+ b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
+ b2Assert(m_nodes[proxyId].IsLeaf());
+
+ RemoveLeaf(proxyId);
+ FreeNode(proxyId);
+}
+
+bool b2DynamicTree::MoveProxy(int32 proxyId, const b2AABB& aabb, const b2Vec2& displacement)
+{
+ b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
+
+ b2Assert(m_nodes[proxyId].IsLeaf());
+
+ if (m_nodes[proxyId].aabb.Contains(aabb))
+ {
+ return false;
+ }
+
+ RemoveLeaf(proxyId);
+
+ // Extend AABB.
+ b2AABB b = aabb;
+ b2Vec2 r(b2_aabbExtension, b2_aabbExtension);
+ b.lowerBound = b.lowerBound - r;
+ b.upperBound = b.upperBound + r;
+
+ // Predict AABB displacement.
+ b2Vec2 d = b2_aabbMultiplier * displacement;
+
+ if (d.x < 0.0f)
+ {
+ b.lowerBound.x += d.x;
+ }
+ else
+ {
+ b.upperBound.x += d.x;
+ }
+
+ if (d.y < 0.0f)
+ {
+ b.lowerBound.y += d.y;
+ }
+ else
+ {
+ b.upperBound.y += d.y;
+ }
+
+ m_nodes[proxyId].aabb = b;
+
+ InsertLeaf(proxyId);
+ return true;
+}
+
+void b2DynamicTree::InsertLeaf(int32 leaf)
+{
+ ++m_insertionCount;
+
+ if (m_root == b2_nullNode)
+ {
+ m_root = leaf;
+ m_nodes[m_root].parent = b2_nullNode;
+ return;
+ }
+
+ // Find the best sibling for this node
+ b2AABB leafAABB = m_nodes[leaf].aabb;
+ int32 index = m_root;
+ while (m_nodes[index].IsLeaf() == false)
+ {
+ int32 child1 = m_nodes[index].child1;
+ int32 child2 = m_nodes[index].child2;
+
+ float32 area = m_nodes[index].aabb.GetPerimeter();
+
+ b2AABB combinedAABB;
+ combinedAABB.Combine(m_nodes[index].aabb, leafAABB);
+ float32 combinedArea = combinedAABB.GetPerimeter();
+
+ // Cost of creating a new parent for this node and the new leaf
+ float32 cost = 2.0f * combinedArea;
+
+ // Minimum cost of pushing the leaf further down the tree
+ float32 inheritanceCost = 2.0f * (combinedArea - area);
+
+ // Cost of descending into child1
+ float32 cost1;
+ if (m_nodes[child1].IsLeaf())
+ {
+ b2AABB aabb;
+ aabb.Combine(leafAABB, m_nodes[child1].aabb);
+ cost1 = aabb.GetPerimeter() + inheritanceCost;
+ }
+ else
+ {
+ b2AABB aabb;
+ aabb.Combine(leafAABB, m_nodes[child1].aabb);
+ float32 oldArea = m_nodes[child1].aabb.GetPerimeter();
+ float32 newArea = aabb.GetPerimeter();
+ cost1 = (newArea - oldArea) + inheritanceCost;
+ }
+
+ // Cost of descending into child2
+ float32 cost2;
+ if (m_nodes[child2].IsLeaf())
+ {
+ b2AABB aabb;
+ aabb.Combine(leafAABB, m_nodes[child2].aabb);
+ cost2 = aabb.GetPerimeter() + inheritanceCost;
+ }
+ else
+ {
+ b2AABB aabb;
+ aabb.Combine(leafAABB, m_nodes[child2].aabb);
+ float32 oldArea = m_nodes[child2].aabb.GetPerimeter();
+ float32 newArea = aabb.GetPerimeter();
+ cost2 = newArea - oldArea + inheritanceCost;
+ }
+
+ // Descend according to the minimum cost.
+ if (cost < cost1 && cost < cost2)
+ {
+ break;
+ }
+
+ // Descend
+ if (cost1 < cost2)
+ {
+ index = child1;
+ }
+ else
+ {
+ index = child2;
+ }
+ }
+
+ int32 sibling = index;
+
+ // Create a new parent.
+ int32 oldParent = m_nodes[sibling].parent;
+ int32 newParent = AllocateNode();
+ m_nodes[newParent].parent = oldParent;
+ m_nodes[newParent].userData = nullptr;
+ m_nodes[newParent].aabb.Combine(leafAABB, m_nodes[sibling].aabb);
+ m_nodes[newParent].height = m_nodes[sibling].height + 1;
+
+ if (oldParent != b2_nullNode)
+ {
+ // The sibling was not the root.
+ if (m_nodes[oldParent].child1 == sibling)
+ {
+ m_nodes[oldParent].child1 = newParent;
+ }
+ else
+ {
+ m_nodes[oldParent].child2 = newParent;
+ }
+
+ m_nodes[newParent].child1 = sibling;
+ m_nodes[newParent].child2 = leaf;
+ m_nodes[sibling].parent = newParent;
+ m_nodes[leaf].parent = newParent;
+ }
+ else
+ {
+ // The sibling was the root.
+ m_nodes[newParent].child1 = sibling;
+ m_nodes[newParent].child2 = leaf;
+ m_nodes[sibling].parent = newParent;
+ m_nodes[leaf].parent = newParent;
+ m_root = newParent;
+ }
+
+ // Walk back up the tree fixing heights and AABBs
+ index = m_nodes[leaf].parent;
+ while (index != b2_nullNode)
+ {
+ index = Balance(index);
+
+ int32 child1 = m_nodes[index].child1;
+ int32 child2 = m_nodes[index].child2;
+
+ b2Assert(child1 != b2_nullNode);
+ b2Assert(child2 != b2_nullNode);
+
+ m_nodes[index].height = 1 + b2Max(m_nodes[child1].height, m_nodes[child2].height);
+ m_nodes[index].aabb.Combine(m_nodes[child1].aabb, m_nodes[child2].aabb);
+
+ index = m_nodes[index].parent;
+ }
+
+ //Validate();
+}
+
+void b2DynamicTree::RemoveLeaf(int32 leaf)
+{
+ if (leaf == m_root)
+ {
+ m_root = b2_nullNode;
+ return;
+ }
+
+ int32 parent = m_nodes[leaf].parent;
+ int32 grandParent = m_nodes[parent].parent;
+ int32 sibling;
+ if (m_nodes[parent].child1 == leaf)
+ {
+ sibling = m_nodes[parent].child2;
+ }
+ else
+ {
+ sibling = m_nodes[parent].child1;
+ }
+
+ if (grandParent != b2_nullNode)
+ {
+ // Destroy parent and connect sibling to grandParent.
+ if (m_nodes[grandParent].child1 == parent)
+ {
+ m_nodes[grandParent].child1 = sibling;
+ }
+ else
+ {
+ m_nodes[grandParent].child2 = sibling;
+ }
+ m_nodes[sibling].parent = grandParent;
+ FreeNode(parent);
+
+ // Adjust ancestor bounds.
+ int32 index = grandParent;
+ while (index != b2_nullNode)
+ {
+ index = Balance(index);
+
+ int32 child1 = m_nodes[index].child1;
+ int32 child2 = m_nodes[index].child2;
+
+ m_nodes[index].aabb.Combine(m_nodes[child1].aabb, m_nodes[child2].aabb);
+ m_nodes[index].height = 1 + b2Max(m_nodes[child1].height, m_nodes[child2].height);
+
+ index = m_nodes[index].parent;
+ }
+ }
+ else
+ {
+ m_root = sibling;
+ m_nodes[sibling].parent = b2_nullNode;
+ FreeNode(parent);
+ }
+
+ //Validate();
+}
+
+// Perform a left or right rotation if node A is imbalanced.
+// Returns the new root index.
+int32 b2DynamicTree::Balance(int32 iA)
+{
+ b2Assert(iA != b2_nullNode);
+
+ b2TreeNode* A = m_nodes + iA;
+ if (A->IsLeaf() || A->height < 2)
+ {
+ return iA;
+ }
+
+ int32 iB = A->child1;
+ int32 iC = A->child2;
+ b2Assert(0 <= iB && iB < m_nodeCapacity);
+ b2Assert(0 <= iC && iC < m_nodeCapacity);
+
+ b2TreeNode* B = m_nodes + iB;
+ b2TreeNode* C = m_nodes + iC;
+
+ int32 balance = C->height - B->height;
+
+ // Rotate C up
+ if (balance > 1)
+ {
+ int32 iF = C->child1;
+ int32 iG = C->child2;
+ b2TreeNode* F = m_nodes + iF;
+ b2TreeNode* G = m_nodes + iG;
+ b2Assert(0 <= iF && iF < m_nodeCapacity);
+ b2Assert(0 <= iG && iG < m_nodeCapacity);
+
+ // Swap A and C
+ C->child1 = iA;
+ C->parent = A->parent;
+ A->parent = iC;
+
+ // A's old parent should point to C
+ if (C->parent != b2_nullNode)
+ {
+ if (m_nodes[C->parent].child1 == iA)
+ {
+ m_nodes[C->parent].child1 = iC;
+ }
+ else
+ {
+ b2Assert(m_nodes[C->parent].child2 == iA);
+ m_nodes[C->parent].child2 = iC;
+ }
+ }
+ else
+ {
+ m_root = iC;
+ }
+
+ // Rotate
+ if (F->height > G->height)
+ {
+ C->child2 = iF;
+ A->child2 = iG;
+ G->parent = iA;
+ A->aabb.Combine(B->aabb, G->aabb);
+ C->aabb.Combine(A->aabb, F->aabb);
+
+ A->height = 1 + b2Max(B->height, G->height);
+ C->height = 1 + b2Max(A->height, F->height);
+ }
+ else
+ {
+ C->child2 = iG;
+ A->child2 = iF;
+ F->parent = iA;
+ A->aabb.Combine(B->aabb, F->aabb);
+ C->aabb.Combine(A->aabb, G->aabb);
+
+ A->height = 1 + b2Max(B->height, F->height);
+ C->height = 1 + b2Max(A->height, G->height);
+ }
+
+ return iC;
+ }
+
+ // Rotate B up
+ if (balance < -1)
+ {
+ int32 iD = B->child1;
+ int32 iE = B->child2;
+ b2TreeNode* D = m_nodes + iD;
+ b2TreeNode* E = m_nodes + iE;
+ b2Assert(0 <= iD && iD < m_nodeCapacity);
+ b2Assert(0 <= iE && iE < m_nodeCapacity);
+
+ // Swap A and B
+ B->child1 = iA;
+ B->parent = A->parent;
+ A->parent = iB;
+
+ // A's old parent should point to B
+ if (B->parent != b2_nullNode)
+ {
+ if (m_nodes[B->parent].child1 == iA)
+ {
+ m_nodes[B->parent].child1 = iB;
+ }
+ else
+ {
+ b2Assert(m_nodes[B->parent].child2 == iA);
+ m_nodes[B->parent].child2 = iB;
+ }
+ }
+ else
+ {
+ m_root = iB;
+ }
+
+ // Rotate
+ if (D->height > E->height)
+ {
+ B->child2 = iD;
+ A->child1 = iE;
+ E->parent = iA;
+ A->aabb.Combine(C->aabb, E->aabb);
+ B->aabb.Combine(A->aabb, D->aabb);
+
+ A->height = 1 + b2Max(C->height, E->height);
+ B->height = 1 + b2Max(A->height, D->height);
+ }
+ else
+ {
+ B->child2 = iE;
+ A->child1 = iD;
+ D->parent = iA;
+ A->aabb.Combine(C->aabb, D->aabb);
+ B->aabb.Combine(A->aabb, E->aabb);
+
+ A->height = 1 + b2Max(C->height, D->height);
+ B->height = 1 + b2Max(A->height, E->height);
+ }
+
+ return iB;
+ }
+
+ return iA;
+}
+
+int32 b2DynamicTree::GetHeight() const
+{
+ if (m_root == b2_nullNode)
+ {
+ return 0;
+ }
+
+ return m_nodes[m_root].height;
+}
+
+//
+float32 b2DynamicTree::GetAreaRatio() const
+{
+ if (m_root == b2_nullNode)
+ {
+ return 0.0f;
+ }
+
+ const b2TreeNode* root = m_nodes + m_root;
+ float32 rootArea = root->aabb.GetPerimeter();
+
+ float32 totalArea = 0.0f;
+ for (int32 i = 0; i < m_nodeCapacity; ++i)
+ {
+ const b2TreeNode* node = m_nodes + i;
+ if (node->height < 0)
+ {
+ // Free node in pool
+ continue;
+ }
+
+ totalArea += node->aabb.GetPerimeter();
+ }
+
+ return totalArea / rootArea;
+}
+
+// Compute the height of a sub-tree.
+int32 b2DynamicTree::ComputeHeight(int32 nodeId) const
+{
+ b2Assert(0 <= nodeId && nodeId < m_nodeCapacity);
+ b2TreeNode* node = m_nodes + nodeId;
+
+ if (node->IsLeaf())
+ {
+ return 0;
+ }
+
+ int32 height1 = ComputeHeight(node->child1);
+ int32 height2 = ComputeHeight(node->child2);
+ return 1 + b2Max(height1, height2);
+}
+
+int32 b2DynamicTree::ComputeHeight() const
+{
+ int32 height = ComputeHeight(m_root);
+ return height;
+}
+
+void b2DynamicTree::ValidateStructure(int32 index) const
+{
+ if (index == b2_nullNode)
+ {
+ return;
+ }
+
+ if (index == m_root)
+ {
+ b2Assert(m_nodes[index].parent == b2_nullNode);
+ }
+
+ const b2TreeNode* node = m_nodes + index;
+
+ int32 child1 = node->child1;
+ int32 child2 = node->child2;
+
+ if (node->IsLeaf())
+ {
+ b2Assert(child1 == b2_nullNode);
+ b2Assert(child2 == b2_nullNode);
+ b2Assert(node->height == 0);
+ return;
+ }
+
+ b2Assert(0 <= child1 && child1 < m_nodeCapacity);
+ b2Assert(0 <= child2 && child2 < m_nodeCapacity);
+
+ b2Assert(m_nodes[child1].parent == index);
+ b2Assert(m_nodes[child2].parent == index);
+
+ ValidateStructure(child1);
+ ValidateStructure(child2);
+}
+
+void b2DynamicTree::ValidateMetrics(int32 index) const
+{
+ if (index == b2_nullNode)
+ {
+ return;
+ }
+
+ const b2TreeNode* node = m_nodes + index;
+
+ int32 child1 = node->child1;
+ int32 child2 = node->child2;
+
+ if (node->IsLeaf())
+ {
+ b2Assert(child1 == b2_nullNode);
+ b2Assert(child2 == b2_nullNode);
+ b2Assert(node->height == 0);
+ return;
+ }
+
+ b2Assert(0 <= child1 && child1 < m_nodeCapacity);
+ b2Assert(0 <= child2 && child2 < m_nodeCapacity);
+
+ int32 height1 = m_nodes[child1].height;
+ int32 height2 = m_nodes[child2].height;
+ int32 height;
+ height = 1 + b2Max(height1, height2);
+ b2Assert(node->height == height);
+
+ b2AABB aabb;
+ aabb.Combine(m_nodes[child1].aabb, m_nodes[child2].aabb);
+
+ b2Assert(aabb.lowerBound == node->aabb.lowerBound);
+ b2Assert(aabb.upperBound == node->aabb.upperBound);
+
+ ValidateMetrics(child1);
+ ValidateMetrics(child2);
+}
+
+void b2DynamicTree::Validate() const
+{
+#if defined(b2DEBUG)
+ ValidateStructure(m_root);
+ ValidateMetrics(m_root);
+
+ int32 freeCount = 0;
+ int32 freeIndex = m_freeList;
+ while (freeIndex != b2_nullNode)
+ {
+ b2Assert(0 <= freeIndex && freeIndex < m_nodeCapacity);
+ freeIndex = m_nodes[freeIndex].next;
+ ++freeCount;
+ }
+
+ b2Assert(GetHeight() == ComputeHeight());
+
+ b2Assert(m_nodeCount + freeCount == m_nodeCapacity);
+#endif
+}
+
+int32 b2DynamicTree::GetMaxBalance() const
+{
+ int32 maxBalance = 0;
+ for (int32 i = 0; i < m_nodeCapacity; ++i)
+ {
+ const b2TreeNode* node = m_nodes + i;
+ if (node->height <= 1)
+ {
+ continue;
+ }
+
+ b2Assert(node->IsLeaf() == false);
+
+ int32 child1 = node->child1;
+ int32 child2 = node->child2;
+ int32 balance = b2Abs(m_nodes[child2].height - m_nodes[child1].height);
+ maxBalance = b2Max(maxBalance, balance);
+ }
+
+ return maxBalance;
+}
+
+void b2DynamicTree::RebuildBottomUp()
+{
+ int32* nodes = (int32*)b2Alloc(m_nodeCount * sizeof(int32));
+ int32 count = 0;
+
+ // Build array of leaves. Free the rest.
+ for (int32 i = 0; i < m_nodeCapacity; ++i)
+ {
+ if (m_nodes[i].height < 0)
+ {
+ // free node in pool
+ continue;
+ }
+
+ if (m_nodes[i].IsLeaf())
+ {
+ m_nodes[i].parent = b2_nullNode;
+ nodes[count] = i;
+ ++count;
+ }
+ else
+ {
+ FreeNode(i);
+ }
+ }
+
+ while (count > 1)
+ {
+ float32 minCost = b2_maxFloat;
+ int32 iMin = -1, jMin = -1;
+ for (int32 i = 0; i < count; ++i)
+ {
+ b2AABB aabbi = m_nodes[nodes[i]].aabb;
+
+ for (int32 j = i + 1; j < count; ++j)
+ {
+ b2AABB aabbj = m_nodes[nodes[j]].aabb;
+ b2AABB b;
+ b.Combine(aabbi, aabbj);
+ float32 cost = b.GetPerimeter();
+ if (cost < minCost)
+ {
+ iMin = i;
+ jMin = j;
+ minCost = cost;
+ }
+ }
+ }
+
+ int32 index1 = nodes[iMin];
+ int32 index2 = nodes[jMin];
+ b2TreeNode* child1 = m_nodes + index1;
+ b2TreeNode* child2 = m_nodes + index2;
+
+ int32 parentIndex = AllocateNode();
+ b2TreeNode* parent = m_nodes + parentIndex;
+ parent->child1 = index1;
+ parent->child2 = index2;
+ parent->height = 1 + b2Max(child1->height, child2->height);
+ parent->aabb.Combine(child1->aabb, child2->aabb);
+ parent->parent = b2_nullNode;
+
+ child1->parent = parentIndex;
+ child2->parent = parentIndex;
+
+ nodes[jMin] = nodes[count-1];
+ nodes[iMin] = parentIndex;
+ --count;
+ }
+
+ m_root = nodes[0];
+ b2Free(nodes);
+
+ Validate();
+}
+
+void b2DynamicTree::ShiftOrigin(const b2Vec2& newOrigin)
+{
+ // Build array of leaves. Free the rest.
+ for (int32 i = 0; i < m_nodeCapacity; ++i)
+ {
+ m_nodes[i].aabb.lowerBound -= newOrigin;
+ m_nodes[i].aabb.upperBound -= newOrigin;
+ }
+}
diff --git a/src/3rdparty/Box2D/Collision/b2DynamicTree.h b/src/3rdparty/Box2D/Collision/b2DynamicTree.h
new file mode 100644
index 0000000..e52b44b
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2DynamicTree.h
@@ -0,0 +1,289 @@
+/*
+* Copyright (c) 2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#ifndef B2_DYNAMIC_TREE_H
+#define B2_DYNAMIC_TREE_H
+
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Common/b2GrowableStack.h"
+
+#define b2_nullNode (-1)
+
+/// A node in the dynamic tree. The client does not interact with this directly.
+struct b2TreeNode
+{
+ bool IsLeaf() const
+ {
+ return child1 == b2_nullNode;
+ }
+
+ /// Enlarged AABB
+ b2AABB aabb;
+
+ void* userData;
+
+ union
+ {
+ int32 parent;
+ int32 next;
+ };
+
+ int32 child1;
+ int32 child2;
+
+ // leaf = 0, free node = -1
+ int32 height;
+};
+
+/// A dynamic AABB tree broad-phase, inspired by Nathanael Presson's btDbvt.
+/// A dynamic tree arranges data in a binary tree to accelerate
+/// queries such as volume queries and ray casts. Leafs are proxies
+/// with an AABB. In the tree we expand the proxy AABB by b2_fatAABBFactor
+/// so that the proxy AABB is bigger than the client object. This allows the client
+/// object to move by small amounts without triggering a tree update.
+///
+/// Nodes are pooled and relocatable, so we use node indices rather than pointers.
+class b2DynamicTree
+{
+public:
+ /// Constructing the tree initializes the node pool.
+ b2DynamicTree();
+
+ /// Destroy the tree, freeing the node pool.
+ ~b2DynamicTree();
+
+ /// Create a proxy. Provide a tight fitting AABB and a userData pointer.
+ int32 CreateProxy(const b2AABB& aabb, void* userData);
+
+ /// Destroy a proxy. This asserts if the id is invalid.
+ void DestroyProxy(int32 proxyId);
+
+ /// Move a proxy with a swepted AABB. If the proxy has moved outside of its fattened AABB,
+ /// then the proxy is removed from the tree and re-inserted. Otherwise
+ /// the function returns immediately.
+ /// @return true if the proxy was re-inserted.
+ bool MoveProxy(int32 proxyId, const b2AABB& aabb1, const b2Vec2& displacement);
+
+ /// Get proxy user data.
+ /// @return the proxy user data or 0 if the id is invalid.
+ void* GetUserData(int32 proxyId) const;
+
+ /// Get the fat AABB for a proxy.
+ const b2AABB& GetFatAABB(int32 proxyId) const;
+
+ /// Query an AABB for overlapping proxies. The callback class
+ /// is called for each proxy that overlaps the supplied AABB.
+ template <typename T>
+ void Query(T* callback, const b2AABB& aabb) const;
+
+ /// Ray-cast against the proxies in the tree. This relies on the callback
+ /// to perform a exact ray-cast in the case were the proxy contains a shape.
+ /// The callback also performs the any collision filtering. This has performance
+ /// roughly equal to k * log(n), where k is the number of collisions and n is the
+ /// number of proxies in the tree.
+ /// @param input the ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
+ /// @param callback a callback class that is called for each proxy that is hit by the ray.
+ template <typename T>
+ void RayCast(T* callback, const b2RayCastInput& input) const;
+
+ /// Validate this tree. For testing.
+ void Validate() const;
+
+ /// Compute the height of the binary tree in O(N) time. Should not be
+ /// called often.
+ int32 GetHeight() const;
+
+ /// Get the maximum balance of an node in the tree. The balance is the difference
+ /// in height of the two children of a node.
+ int32 GetMaxBalance() const;
+
+ /// Get the ratio of the sum of the node areas to the root area.
+ float32 GetAreaRatio() const;
+
+ /// Build an optimal tree. Very expensive. For testing.
+ void RebuildBottomUp();
+
+ /// Shift the world origin. Useful for large worlds.
+ /// The shift formula is: position -= newOrigin
+ /// @param newOrigin the new origin with respect to the old origin
+ void ShiftOrigin(const b2Vec2& newOrigin);
+
+private:
+
+ int32 AllocateNode();
+ void FreeNode(int32 node);
+
+ void InsertLeaf(int32 node);
+ void RemoveLeaf(int32 node);
+
+ int32 Balance(int32 index);
+
+ int32 ComputeHeight() const;
+ int32 ComputeHeight(int32 nodeId) const;
+
+ void ValidateStructure(int32 index) const;
+ void ValidateMetrics(int32 index) const;
+
+ int32 m_root;
+
+ b2TreeNode* m_nodes;
+ int32 m_nodeCount;
+ int32 m_nodeCapacity;
+
+ int32 m_freeList;
+
+ /// This is used to incrementally traverse the tree for re-balancing.
+ uint32 m_path;
+
+ int32 m_insertionCount;
+};
+
+inline void* b2DynamicTree::GetUserData(int32 proxyId) const
+{
+ b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
+ return m_nodes[proxyId].userData;
+}
+
+inline const b2AABB& b2DynamicTree::GetFatAABB(int32 proxyId) const
+{
+ b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
+ return m_nodes[proxyId].aabb;
+}
+
+template <typename T>
+inline void b2DynamicTree::Query(T* callback, const b2AABB& aabb) const
+{
+ b2GrowableStack<int32, 256> stack;
+ stack.Push(m_root);
+
+ while (stack.GetCount() > 0)
+ {
+ int32 nodeId = stack.Pop();
+ if (nodeId == b2_nullNode)
+ {
+ continue;
+ }
+
+ const b2TreeNode* node = m_nodes + nodeId;
+
+ if (b2TestOverlap(node->aabb, aabb))
+ {
+ if (node->IsLeaf())
+ {
+ bool proceed = callback->QueryCallback(nodeId);
+ if (proceed == false)
+ {
+ return;
+ }
+ }
+ else
+ {
+ stack.Push(node->child1);
+ stack.Push(node->child2);
+ }
+ }
+ }
+}
+
+template <typename T>
+inline void b2DynamicTree::RayCast(T* callback, const b2RayCastInput& input) const
+{
+ b2Vec2 p1 = input.p1;
+ b2Vec2 p2 = input.p2;
+ b2Vec2 r = p2 - p1;
+ b2Assert(r.LengthSquared() > 0.0f);
+ r.Normalize();
+
+ // v is perpendicular to the segment.
+ b2Vec2 v = b2Cross(1.0f, r);
+ b2Vec2 abs_v = b2Abs(v);
+
+ // Separating axis for segment (Gino, p80).
+ // |dot(v, p1 - c)| > dot(|v|, h)
+
+ float32 maxFraction = input.maxFraction;
+
+ // Build a bounding box for the segment.
+ b2AABB segmentAABB;
+ {
+ b2Vec2 t = p1 + maxFraction * (p2 - p1);
+ segmentAABB.lowerBound = b2Min(p1, t);
+ segmentAABB.upperBound = b2Max(p1, t);
+ }
+
+ b2GrowableStack<int32, 256> stack;
+ stack.Push(m_root);
+
+ while (stack.GetCount() > 0)
+ {
+ int32 nodeId = stack.Pop();
+ if (nodeId == b2_nullNode)
+ {
+ continue;
+ }
+
+ const b2TreeNode* node = m_nodes + nodeId;
+
+ if (b2TestOverlap(node->aabb, segmentAABB) == false)
+ {
+ continue;
+ }
+
+ // Separating axis for segment (Gino, p80).
+ // |dot(v, p1 - c)| > dot(|v|, h)
+ b2Vec2 c = node->aabb.GetCenter();
+ b2Vec2 h = node->aabb.GetExtents();
+ float32 separation = b2Abs(b2Dot(v, p1 - c)) - b2Dot(abs_v, h);
+ if (separation > 0.0f)
+ {
+ continue;
+ }
+
+ if (node->IsLeaf())
+ {
+ b2RayCastInput subInput;
+ subInput.p1 = input.p1;
+ subInput.p2 = input.p2;
+ subInput.maxFraction = maxFraction;
+
+ float32 value = callback->RayCastCallback(subInput, nodeId);
+
+ if (value == 0.0f)
+ {
+ // The client has terminated the ray cast.
+ return;
+ }
+
+ if (value > 0.0f)
+ {
+ // Update segment bounding box.
+ maxFraction = value;
+ b2Vec2 t = p1 + maxFraction * (p2 - p1);
+ segmentAABB.lowerBound = b2Min(p1, t);
+ segmentAABB.upperBound = b2Max(p1, t);
+ }
+ }
+ else
+ {
+ stack.Push(node->child1);
+ stack.Push(node->child2);
+ }
+ }
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Collision/b2TimeOfImpact.cpp b/src/3rdparty/Box2D/Collision/b2TimeOfImpact.cpp
new file mode 100644
index 0000000..4bc1769
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2TimeOfImpact.cpp
@@ -0,0 +1,486 @@
+/*
+* 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 "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/b2Distance.h"
+#include "Box2D/Collision/b2TimeOfImpact.h"
+#include "Box2D/Collision/Shapes/b2CircleShape.h"
+#include "Box2D/Collision/Shapes/b2PolygonShape.h"
+#include "Box2D/Common/b2Timer.h"
+
+#include <stdio.h>
+
+float32 b2_toiTime, b2_toiMaxTime;
+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)
+{
+ b2Timer timer;
+
+ ++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);
+ }
+
+ ++rootIterCount;
+ ++b2_toiRootIters;
+
+ 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;
+ }
+
+ 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);
+
+ float32 time = timer.GetMilliseconds();
+ b2_toiMaxTime = b2Max(b2_toiMaxTime, time);
+ b2_toiTime += time;
+}
diff --git a/src/3rdparty/Box2D/Collision/b2TimeOfImpact.h b/src/3rdparty/Box2D/Collision/b2TimeOfImpact.h
new file mode 100644
index 0000000..3af2c32
--- /dev/null
+++ b/src/3rdparty/Box2D/Collision/b2TimeOfImpact.h
@@ -0,0 +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 "Box2D/Common/b2Math.h"
+#include "Box2D/Collision/b2Distance.h"
+
+/// Input parameters for b2TimeOfImpact
+struct b2TOIInput
+{
+ b2DistanceProxy proxyA;
+ b2DistanceProxy proxyB;
+ b2Sweep sweepA;
+ b2Sweep sweepB;
+ float32 tMax; // defines sweep interval [0, tMax]
+};
+
+/// Output parameters for b2TimeOfImpact.
+struct b2TOIOutput
+{
+ enum State
+ {
+ e_unknown,
+ e_failed,
+ e_overlapped,
+ e_touching,
+ e_separated
+ };
+
+ State state;
+ float32 t;
+};
+
+/// Compute the upper bound on time before two shapes penetrate. Time is represented as
+/// a fraction between [0,tMax]. This uses a swept separating axis and may miss some intermediate,
+/// non-tunneling collisions. 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
diff --git a/src/3rdparty/Box2D/Common/b2BlockAllocator.cpp b/src/3rdparty/Box2D/Common/b2BlockAllocator.cpp
new file mode 100644
index 0000000..b721de8
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2BlockAllocator.cpp
@@ -0,0 +1,215 @@
+/*
+* 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 "Box2D/Common/b2BlockAllocator.h"
+#include <limits.h>
+#include <string.h>
+#include <stddef.h>
+
+int32 b2BlockAllocator::s_blockSizes[b2_blockSizes] =
+{
+ 16, // 0
+ 32, // 1
+ 64, // 2
+ 96, // 3
+ 128, // 4
+ 160, // 5
+ 192, // 6
+ 224, // 7
+ 256, // 8
+ 320, // 9
+ 384, // 10
+ 448, // 11
+ 512, // 12
+ 640, // 13
+};
+uint8 b2BlockAllocator::s_blockSizeLookup[b2_maxBlockSize + 1];
+bool b2BlockAllocator::s_blockSizeLookupInitialized;
+
+struct b2Chunk
+{
+ int32 blockSize;
+ b2Block* blocks;
+};
+
+struct b2Block
+{
+ b2Block* next;
+};
+
+b2BlockAllocator::b2BlockAllocator()
+{
+ b2Assert(b2_blockSizes < UCHAR_MAX);
+
+ m_chunkSpace = b2_chunkArrayIncrement;
+ m_chunkCount = 0;
+ m_chunks = (b2Chunk*)b2Alloc(m_chunkSpace * sizeof(b2Chunk));
+
+ memset(m_chunks, 0, m_chunkSpace * sizeof(b2Chunk));
+ memset(m_freeLists, 0, sizeof(m_freeLists));
+
+ if (s_blockSizeLookupInitialized == false)
+ {
+ int32 j = 0;
+ for (int32 i = 1; i <= b2_maxBlockSize; ++i)
+ {
+ b2Assert(j < b2_blockSizes);
+ if (i <= s_blockSizes[j])
+ {
+ s_blockSizeLookup[i] = (uint8)j;
+ }
+ else
+ {
+ ++j;
+ s_blockSizeLookup[i] = (uint8)j;
+ }
+ }
+
+ s_blockSizeLookupInitialized = true;
+ }
+}
+
+b2BlockAllocator::~b2BlockAllocator()
+{
+ for (int32 i = 0; i < m_chunkCount; ++i)
+ {
+ b2Free(m_chunks[i].blocks);
+ }
+
+ b2Free(m_chunks);
+}
+
+void* b2BlockAllocator::Allocate(int32 size)
+{
+ if (size == 0)
+ return nullptr;
+
+ b2Assert(0 < size);
+
+ if (size > b2_maxBlockSize)
+ {
+ return b2Alloc(size);
+ }
+
+ int32 index = s_blockSizeLookup[size];
+ b2Assert(0 <= index && index < b2_blockSizes);
+
+ if (m_freeLists[index])
+ {
+ b2Block* block = m_freeLists[index];
+ m_freeLists[index] = block->next;
+ return block;
+ }
+ else
+ {
+ if (m_chunkCount == m_chunkSpace)
+ {
+ b2Chunk* oldChunks = m_chunks;
+ m_chunkSpace += b2_chunkArrayIncrement;
+ m_chunks = (b2Chunk*)b2Alloc(m_chunkSpace * sizeof(b2Chunk));
+ memcpy(m_chunks, oldChunks, m_chunkCount * sizeof(b2Chunk));
+ memset(m_chunks + m_chunkCount, 0, b2_chunkArrayIncrement * sizeof(b2Chunk));
+ b2Free(oldChunks);
+ }
+
+ b2Chunk* chunk = m_chunks + m_chunkCount;
+ chunk->blocks = (b2Block*)b2Alloc(b2_chunkSize);
+#if defined(_DEBUG)
+ memset(chunk->blocks, 0xcd, b2_chunkSize);
+#endif
+ int32 blockSize = s_blockSizes[index];
+ chunk->blockSize = blockSize;
+ int32 blockCount = b2_chunkSize / blockSize;
+ b2Assert(blockCount * blockSize <= b2_chunkSize);
+ for (int32 i = 0; i < blockCount - 1; ++i)
+ {
+ b2Block* block = (b2Block*)((int8*)chunk->blocks + blockSize * i);
+ b2Block* next = (b2Block*)((int8*)chunk->blocks + blockSize * (i + 1));
+ block->next = next;
+ }
+ b2Block* last = (b2Block*)((int8*)chunk->blocks + blockSize * (blockCount - 1));
+ last->next = nullptr;
+
+ m_freeLists[index] = chunk->blocks->next;
+ ++m_chunkCount;
+
+ return chunk->blocks;
+ }
+}
+
+void b2BlockAllocator::Free(void* p, int32 size)
+{
+ if (size == 0)
+ {
+ return;
+ }
+
+ b2Assert(0 < size);
+
+ if (size > b2_maxBlockSize)
+ {
+ b2Free(p);
+ return;
+ }
+
+ int32 index = s_blockSizeLookup[size];
+ b2Assert(0 <= index && index < b2_blockSizes);
+
+#ifdef _DEBUG
+ // Verify the memory address and size is valid.
+ int32 blockSize = s_blockSizes[index];
+ bool found = false;
+ for (int32 i = 0; i < m_chunkCount; ++i)
+ {
+ b2Chunk* chunk = m_chunks + i;
+ if (chunk->blockSize != blockSize)
+ {
+ b2Assert( (int8*)p + blockSize <= (int8*)chunk->blocks ||
+ (int8*)chunk->blocks + b2_chunkSize <= (int8*)p);
+ }
+ else
+ {
+ if ((int8*)chunk->blocks <= (int8*)p && (int8*)p + blockSize <= (int8*)chunk->blocks + b2_chunkSize)
+ {
+ found = true;
+ }
+ }
+ }
+
+ b2Assert(found);
+
+ memset(p, 0xfd, blockSize);
+#endif
+
+ b2Block* block = (b2Block*)p;
+ block->next = m_freeLists[index];
+ m_freeLists[index] = block;
+}
+
+void b2BlockAllocator::Clear()
+{
+ for (int32 i = 0; i < m_chunkCount; ++i)
+ {
+ b2Free(m_chunks[i].blocks);
+ }
+
+ m_chunkCount = 0;
+ memset(m_chunks, 0, m_chunkSpace * sizeof(b2Chunk));
+
+ memset(m_freeLists, 0, sizeof(m_freeLists));
+}
diff --git a/src/3rdparty/Box2D/Common/b2BlockAllocator.h b/src/3rdparty/Box2D/Common/b2BlockAllocator.h
new file mode 100644
index 0000000..8dfa254
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2BlockAllocator.h
@@ -0,0 +1,62 @@
+/*
+* 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_BLOCK_ALLOCATOR_H
+#define B2_BLOCK_ALLOCATOR_H
+
+#include "Box2D/Common/b2Settings.h"
+
+const int32 b2_chunkSize = 16 * 1024;
+const int32 b2_maxBlockSize = 640;
+const int32 b2_blockSizes = 14;
+const int32 b2_chunkArrayIncrement = 128;
+
+struct b2Block;
+struct b2Chunk;
+
+/// This is a small object allocator used for allocating small
+/// objects that persist for more than one time step.
+/// See: http://www.codeproject.com/useritems/Small_Block_Allocator.asp
+class b2BlockAllocator
+{
+public:
+ b2BlockAllocator();
+ ~b2BlockAllocator();
+
+ /// Allocate memory. This will use b2Alloc if the size is larger than b2_maxBlockSize.
+ void* Allocate(int32 size);
+
+ /// Free memory. This will use b2Free if the size is larger than b2_maxBlockSize.
+ void Free(void* p, int32 size);
+
+ void Clear();
+
+private:
+
+ b2Chunk* m_chunks;
+ int32 m_chunkCount;
+ int32 m_chunkSpace;
+
+ b2Block* m_freeLists[b2_blockSizes];
+
+ static int32 s_blockSizes[b2_blockSizes];
+ static uint8 s_blockSizeLookup[b2_maxBlockSize + 1];
+ static bool s_blockSizeLookupInitialized;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Common/b2Draw.cpp b/src/3rdparty/Box2D/Common/b2Draw.cpp
new file mode 100644
index 0000000..4d412cd
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Draw.cpp
@@ -0,0 +1,44 @@
+/*
+* Copyright (c) 2011 Erin Catto http://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 "Box2D/Common/b2Draw.h"
+
+b2Draw::b2Draw()
+{
+ m_drawFlags = 0;
+}
+
+void b2Draw::SetFlags(uint32 flags)
+{
+ m_drawFlags = flags;
+}
+
+uint32 b2Draw::GetFlags() const
+{
+ return m_drawFlags;
+}
+
+void b2Draw::AppendFlags(uint32 flags)
+{
+ m_drawFlags |= flags;
+}
+
+void b2Draw::ClearFlags(uint32 flags)
+{
+ m_drawFlags &= ~flags;
+}
diff --git a/src/3rdparty/Box2D/Common/b2Draw.h b/src/3rdparty/Box2D/Common/b2Draw.h
new file mode 100644
index 0000000..ef81826
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Draw.h
@@ -0,0 +1,97 @@
+/*
+* Copyright (c) 2011 Erin Catto http://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_DRAW_H
+#define B2_DRAW_H
+
+#include "Box2D/Common/b2Math.h"
+
+/// Color for debug drawing. Each value has the range [0,1].
+struct b2Color
+{
+ b2Color() {}
+ b2Color(float32 rIn, float32 gIn, float32 bIn, float32 aIn = 1.0f)
+ {
+ r = rIn; g = gIn; b = bIn; a = aIn;
+ }
+
+ void Set(float32 rIn, float32 gIn, float32 bIn, float32 aIn = 1.0f)
+ {
+ r = rIn; g = gIn; b = bIn; a = aIn;
+ }
+
+ float32 r, g, b, a;
+};
+
+/// Implement and register this class with a b2World to provide debug drawing of physics
+/// entities in your game.
+class b2Draw
+{
+public:
+ b2Draw();
+
+ virtual ~b2Draw() {}
+
+ enum
+ {
+ e_shapeBit = 0x0001, ///< draw shapes
+ e_jointBit = 0x0002, ///< draw joint connections
+ e_aabbBit = 0x0004, ///< draw axis aligned bounding boxes
+ e_pairBit = 0x0008, ///< draw broad-phase pairs
+ e_centerOfMassBit = 0x0010 ///< draw center of mass frame
+ };
+
+ /// Set the drawing flags.
+ void SetFlags(uint32 flags);
+
+ /// Get the drawing flags.
+ uint32 GetFlags() const;
+
+ /// Append flags to the current flags.
+ void AppendFlags(uint32 flags);
+
+ /// Clear flags from the current flags.
+ void ClearFlags(uint32 flags);
+
+ /// Draw a closed polygon provided in CCW order.
+ virtual void DrawPolygon(const b2Vec2* vertices, int32 vertexCount, const b2Color& color) = 0;
+
+ /// Draw a solid closed polygon provided in CCW order.
+ virtual void DrawSolidPolygon(const b2Vec2* vertices, int32 vertexCount, const b2Color& color) = 0;
+
+ /// Draw a circle.
+ virtual void DrawCircle(const b2Vec2& center, float32 radius, const b2Color& color) = 0;
+
+ /// Draw a solid circle.
+ virtual void DrawSolidCircle(const b2Vec2& center, float32 radius, const b2Vec2& axis, const b2Color& color) = 0;
+
+ /// Draw a line segment.
+ virtual void DrawSegment(const b2Vec2& p1, const b2Vec2& p2, const b2Color& color) = 0;
+
+ /// Draw a transform. Choose your own length scale.
+ /// @param xf a transform.
+ virtual void DrawTransform(const b2Transform& xf) = 0;
+
+ /// Draw a point.
+ virtual void DrawPoint(const b2Vec2& p, float32 size, const b2Color& color) = 0;
+
+protected:
+ uint32 m_drawFlags;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Common/b2GrowableStack.h b/src/3rdparty/Box2D/Common/b2GrowableStack.h
new file mode 100644
index 0000000..8d239c7
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2GrowableStack.h
@@ -0,0 +1,85 @@
+/*
+* Copyright (c) 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_GROWABLE_STACK_H
+#define B2_GROWABLE_STACK_H
+#include "Box2D/Common/b2Settings.h"
+#include <string.h>
+
+/// This is a growable LIFO stack with an initial capacity of N.
+/// If the stack size exceeds the initial capacity, the heap is used
+/// to increase the size of the stack.
+template <typename T, int32 N>
+class b2GrowableStack
+{
+public:
+ b2GrowableStack()
+ {
+ m_stack = m_array;
+ m_count = 0;
+ m_capacity = N;
+ }
+
+ ~b2GrowableStack()
+ {
+ if (m_stack != m_array)
+ {
+ b2Free(m_stack);
+ m_stack = nullptr;
+ }
+ }
+
+ void Push(const T& element)
+ {
+ if (m_count == m_capacity)
+ {
+ T* old = m_stack;
+ m_capacity *= 2;
+ m_stack = (T*)b2Alloc(m_capacity * sizeof(T));
+ memcpy(m_stack, old, m_count * sizeof(T));
+ if (old != m_array)
+ {
+ b2Free(old);
+ }
+ }
+
+ m_stack[m_count] = element;
+ ++m_count;
+ }
+
+ T Pop()
+ {
+ b2Assert(m_count > 0);
+ --m_count;
+ return m_stack[m_count];
+ }
+
+ int32 GetCount()
+ {
+ return m_count;
+ }
+
+private:
+ T* m_stack;
+ T m_array[N];
+ int32 m_count;
+ int32 m_capacity;
+};
+
+
+#endif
diff --git a/src/3rdparty/Box2D/Common/b2Math.cpp b/src/3rdparty/Box2D/Common/b2Math.cpp
new file mode 100644
index 0000000..f9f5f39
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Math.cpp
@@ -0,0 +1,94 @@
+/*
+* 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 "Box2D/Common/b2Math.h"
+
+const b2Vec2 b2Vec2_zero(0.0f, 0.0f);
+
+/// Solve A * x = b, where b is a column vector. This is more efficient
+/// than computing the inverse in one-shot cases.
+b2Vec3 b2Mat33::Solve33(const b2Vec3& b) const
+{
+ float32 det = b2Dot(ex, b2Cross(ey, ez));
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+ b2Vec3 x;
+ x.x = det * b2Dot(b, b2Cross(ey, ez));
+ x.y = det * b2Dot(ex, b2Cross(b, ez));
+ x.z = det * b2Dot(ex, b2Cross(ey, b));
+ return x;
+}
+
+/// Solve A * x = b, where b is a column vector. This is more efficient
+/// than computing the inverse in one-shot cases.
+b2Vec2 b2Mat33::Solve22(const b2Vec2& b) const
+{
+ float32 a11 = ex.x, a12 = ey.x, a21 = ex.y, a22 = ey.y;
+ float32 det = a11 * a22 - a12 * a21;
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+ b2Vec2 x;
+ x.x = det * (a22 * b.x - a12 * b.y);
+ x.y = det * (a11 * b.y - a21 * b.x);
+ return x;
+}
+
+///
+void b2Mat33::GetInverse22(b2Mat33* M) const
+{
+ float32 a = ex.x, b = ey.x, c = ex.y, d = ey.y;
+ float32 det = a * d - b * c;
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+
+ M->ex.x = det * d; M->ey.x = -det * b; M->ex.z = 0.0f;
+ M->ex.y = -det * c; M->ey.y = det * a; M->ey.z = 0.0f;
+ M->ez.x = 0.0f; M->ez.y = 0.0f; M->ez.z = 0.0f;
+}
+
+/// Returns the zero matrix if singular.
+void b2Mat33::GetSymInverse33(b2Mat33* M) const
+{
+ float32 det = b2Dot(ex, b2Cross(ey, ez));
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+
+ float32 a11 = ex.x, a12 = ey.x, a13 = ez.x;
+ float32 a22 = ey.y, a23 = ez.y;
+ float32 a33 = ez.z;
+
+ M->ex.x = det * (a22 * a33 - a23 * a23);
+ M->ex.y = det * (a13 * a23 - a12 * a33);
+ M->ex.z = det * (a12 * a23 - a13 * a22);
+
+ M->ey.x = M->ex.y;
+ M->ey.y = det * (a11 * a33 - a13 * a13);
+ M->ey.z = det * (a13 * a12 - a11 * a23);
+
+ M->ez.x = M->ex.z;
+ M->ez.y = M->ey.z;
+ M->ez.z = det * (a11 * a22 - a12 * a12);
+}
diff --git a/src/3rdparty/Box2D/Common/b2Math.h b/src/3rdparty/Box2D/Common/b2Math.h
new file mode 100644
index 0000000..7a816e5
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Math.h
@@ -0,0 +1,707 @@
+/*
+* 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_MATH_H
+#define B2_MATH_H
+
+#include "Box2D/Common/b2Settings.h"
+#include <math.h>
+
+/// This function is used to ensure that a floating point number is not a NaN or infinity.
+inline bool b2IsValid(float32 x)
+{
+ return isfinite(x);
+}
+
+#define b2Sqrt(x) sqrtf(x)
+#define b2Atan2(y, x) atan2f(y, x)
+
+/// A 2D column vector.
+struct b2Vec2
+{
+ /// Default constructor does nothing (for performance).
+ b2Vec2() {}
+
+ /// Construct using coordinates.
+ b2Vec2(float32 xIn, float32 yIn) : x(xIn), y(yIn) {}
+
+ /// Set this vector to all zeros.
+ void SetZero() { x = 0.0f; y = 0.0f; }
+
+ /// Set this vector to some specified coordinates.
+ void Set(float32 x_, float32 y_) { x = x_; y = y_; }
+
+ /// Negate this vector.
+ b2Vec2 operator -() const { b2Vec2 v; v.Set(-x, -y); return v; }
+
+ /// Read from and indexed element.
+ float32 operator () (int32 i) const
+ {
+ return (&x)[i];
+ }
+
+ /// Write to an indexed element.
+ float32& operator () (int32 i)
+ {
+ return (&x)[i];
+ }
+
+ /// Add a vector to this vector.
+ void operator += (const b2Vec2& v)
+ {
+ x += v.x; y += v.y;
+ }
+
+ /// Subtract a vector from this vector.
+ void operator -= (const b2Vec2& v)
+ {
+ x -= v.x; y -= v.y;
+ }
+
+ /// Multiply this vector by a scalar.
+ void operator *= (float32 a)
+ {
+ x *= a; y *= a;
+ }
+
+ /// Get the length of this vector (the norm).
+ float32 Length() const
+ {
+ return b2Sqrt(x * x + y * y);
+ }
+
+ /// Get the length squared. For performance, use this instead of
+ /// b2Vec2::Length (if possible).
+ float32 LengthSquared() const
+ {
+ return x * x + y * y;
+ }
+
+ /// Convert this vector into a unit vector. Returns the length.
+ float32 Normalize()
+ {
+ float32 length = Length();
+ if (length < b2_epsilon)
+ {
+ return 0.0f;
+ }
+ float32 invLength = 1.0f / length;
+ x *= invLength;
+ y *= invLength;
+
+ return length;
+ }
+
+ /// Does this vector contain finite coordinates?
+ bool IsValid() const
+ {
+ return b2IsValid(x) && b2IsValid(y);
+ }
+
+ /// Get the skew vector such that dot(skew_vec, other) == cross(vec, other)
+ b2Vec2 Skew() const
+ {
+ return b2Vec2(-y, x);
+ }
+
+ float32 x, y;
+};
+
+/// A 2D column vector with 3 elements.
+struct b2Vec3
+{
+ /// Default constructor does nothing (for performance).
+ b2Vec3() {}
+
+ /// Construct using coordinates.
+ b2Vec3(float32 xIn, float32 yIn, float32 zIn) : x(xIn), y(yIn), z(zIn) {}
+
+ /// Set this vector to all zeros.
+ void SetZero() { x = 0.0f; y = 0.0f; z = 0.0f; }
+
+ /// Set this vector to some specified coordinates.
+ void Set(float32 x_, float32 y_, float32 z_) { x = x_; y = y_; z = z_; }
+
+ /// Negate this vector.
+ b2Vec3 operator -() const { b2Vec3 v; v.Set(-x, -y, -z); return v; }
+
+ /// Add a vector to this vector.
+ void operator += (const b2Vec3& v)
+ {
+ x += v.x; y += v.y; z += v.z;
+ }
+
+ /// Subtract a vector from this vector.
+ void operator -= (const b2Vec3& v)
+ {
+ x -= v.x; y -= v.y; z -= v.z;
+ }
+
+ /// Multiply this vector by a scalar.
+ void operator *= (float32 s)
+ {
+ x *= s; y *= s; z *= s;
+ }
+
+ float32 x, y, z;
+};
+
+/// A 2-by-2 matrix. Stored in column-major order.
+struct b2Mat22
+{
+ /// The default constructor does nothing (for performance).
+ b2Mat22() {}
+
+ /// Construct this matrix using columns.
+ b2Mat22(const b2Vec2& c1, const b2Vec2& c2)
+ {
+ ex = c1;
+ ey = c2;
+ }
+
+ /// Construct this matrix using scalars.
+ b2Mat22(float32 a11, float32 a12, float32 a21, float32 a22)
+ {
+ ex.x = a11; ex.y = a21;
+ ey.x = a12; ey.y = a22;
+ }
+
+ /// Initialize this matrix using columns.
+ void Set(const b2Vec2& c1, const b2Vec2& c2)
+ {
+ ex = c1;
+ ey = c2;
+ }
+
+ /// Set this to the identity matrix.
+ void SetIdentity()
+ {
+ ex.x = 1.0f; ey.x = 0.0f;
+ ex.y = 0.0f; ey.y = 1.0f;
+ }
+
+ /// Set this matrix to all zeros.
+ void SetZero()
+ {
+ ex.x = 0.0f; ey.x = 0.0f;
+ ex.y = 0.0f; ey.y = 0.0f;
+ }
+
+ b2Mat22 GetInverse() const
+ {
+ float32 a = ex.x, b = ey.x, c = ex.y, d = ey.y;
+ b2Mat22 B;
+ float32 det = a * d - b * c;
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+ B.ex.x = det * d; B.ey.x = -det * b;
+ B.ex.y = -det * c; B.ey.y = det * a;
+ return B;
+ }
+
+ /// Solve A * x = b, where b is a column vector. This is more efficient
+ /// than computing the inverse in one-shot cases.
+ b2Vec2 Solve(const b2Vec2& b) const
+ {
+ float32 a11 = ex.x, a12 = ey.x, a21 = ex.y, a22 = ey.y;
+ float32 det = a11 * a22 - a12 * a21;
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+ b2Vec2 x;
+ x.x = det * (a22 * b.x - a12 * b.y);
+ x.y = det * (a11 * b.y - a21 * b.x);
+ return x;
+ }
+
+ b2Vec2 ex, ey;
+};
+
+/// A 3-by-3 matrix. Stored in column-major order.
+struct b2Mat33
+{
+ /// The default constructor does nothing (for performance).
+ b2Mat33() {}
+
+ /// Construct this matrix using columns.
+ b2Mat33(const b2Vec3& c1, const b2Vec3& c2, const b2Vec3& c3)
+ {
+ ex = c1;
+ ey = c2;
+ ez = c3;
+ }
+
+ /// Set this matrix to all zeros.
+ void SetZero()
+ {
+ ex.SetZero();
+ ey.SetZero();
+ ez.SetZero();
+ }
+
+ /// Solve A * x = b, where b is a column vector. This is more efficient
+ /// than computing the inverse in one-shot cases.
+ b2Vec3 Solve33(const b2Vec3& b) const;
+
+ /// Solve A * x = b, where b is a column vector. This is more efficient
+ /// than computing the inverse in one-shot cases. Solve only the upper
+ /// 2-by-2 matrix equation.
+ b2Vec2 Solve22(const b2Vec2& b) const;
+
+ /// Get the inverse of this matrix as a 2-by-2.
+ /// Returns the zero matrix if singular.
+ void GetInverse22(b2Mat33* M) const;
+
+ /// Get the symmetric inverse of this matrix as a 3-by-3.
+ /// Returns the zero matrix if singular.
+ void GetSymInverse33(b2Mat33* M) const;
+
+ b2Vec3 ex, ey, ez;
+};
+
+/// Rotation
+struct b2Rot
+{
+ b2Rot() {}
+
+ /// Initialize from an angle in radians
+ explicit b2Rot(float32 angle)
+ {
+ /// TODO_ERIN optimize
+ s = sinf(angle);
+ c = cosf(angle);
+ }
+
+ /// Set using an angle in radians.
+ void Set(float32 angle)
+ {
+ /// TODO_ERIN optimize
+ s = sinf(angle);
+ c = cosf(angle);
+ }
+
+ /// Set to the identity rotation
+ void SetIdentity()
+ {
+ s = 0.0f;
+ c = 1.0f;
+ }
+
+ /// Get the angle in radians
+ float32 GetAngle() const
+ {
+ return b2Atan2(s, c);
+ }
+
+ /// Get the x-axis
+ b2Vec2 GetXAxis() const
+ {
+ return b2Vec2(c, s);
+ }
+
+ /// Get the u-axis
+ b2Vec2 GetYAxis() const
+ {
+ return b2Vec2(-s, c);
+ }
+
+ /// Sine and cosine
+ float32 s, c;
+};
+
+/// A transform contains translation and rotation. It is used to represent
+/// the position and orientation of rigid frames.
+struct b2Transform
+{
+ /// The default constructor does nothing.
+ b2Transform() {}
+
+ /// Initialize using a position vector and a rotation.
+ b2Transform(const b2Vec2& position, const b2Rot& rotation) : p(position), q(rotation) {}
+
+ /// Set this to the identity transform.
+ void SetIdentity()
+ {
+ p.SetZero();
+ q.SetIdentity();
+ }
+
+ /// Set this based on the position and angle.
+ void Set(const b2Vec2& position, float32 angle)
+ {
+ p = position;
+ q.Set(angle);
+ }
+
+ b2Vec2 p;
+ b2Rot q;
+};
+
+/// This describes the motion of a body/shape for TOI computation.
+/// Shapes are defined with respect to the body origin, which may
+/// no coincide with the center of mass. However, to support dynamics
+/// we must interpolate the center of mass position.
+struct b2Sweep
+{
+ /// Get the interpolated transform at a specific time.
+ /// @param beta is a factor in [0,1], where 0 indicates alpha0.
+ void GetTransform(b2Transform* xfb, float32 beta) const;
+
+ /// Advance the sweep forward, yielding a new initial state.
+ /// @param alpha the new initial time.
+ void Advance(float32 alpha);
+
+ /// Normalize the angles.
+ void Normalize();
+
+ b2Vec2 localCenter; ///< local center of mass position
+ b2Vec2 c0, c; ///< center world positions
+ float32 a0, a; ///< world angles
+
+ /// Fraction of the current time step in the range [0,1]
+ /// c0 and a0 are the positions at alpha0.
+ float32 alpha0;
+};
+
+/// Useful constant
+extern const b2Vec2 b2Vec2_zero;
+
+/// Perform the dot product on two vectors.
+inline float32 b2Dot(const b2Vec2& a, const b2Vec2& b)
+{
+ return a.x * b.x + a.y * b.y;
+}
+
+/// Perform the cross product on two vectors. In 2D this produces a scalar.
+inline float32 b2Cross(const b2Vec2& a, const b2Vec2& b)
+{
+ return a.x * b.y - a.y * b.x;
+}
+
+/// Perform the cross product on a vector and a scalar. In 2D this produces
+/// a vector.
+inline b2Vec2 b2Cross(const b2Vec2& a, float32 s)
+{
+ return b2Vec2(s * a.y, -s * a.x);
+}
+
+/// Perform the cross product on a scalar and a vector. In 2D this produces
+/// a vector.
+inline b2Vec2 b2Cross(float32 s, const b2Vec2& a)
+{
+ return b2Vec2(-s * a.y, s * a.x);
+}
+
+/// Multiply a matrix times a vector. If a rotation matrix is provided,
+/// then this transforms the vector from one frame to another.
+inline b2Vec2 b2Mul(const b2Mat22& A, const b2Vec2& v)
+{
+ return b2Vec2(A.ex.x * v.x + A.ey.x * v.y, A.ex.y * v.x + A.ey.y * v.y);
+}
+
+/// Multiply a matrix transpose times a vector. If a rotation matrix is provided,
+/// then this transforms the vector from one frame to another (inverse transform).
+inline b2Vec2 b2MulT(const b2Mat22& A, const b2Vec2& v)
+{
+ return b2Vec2(b2Dot(v, A.ex), b2Dot(v, A.ey));
+}
+
+/// Add two vectors component-wise.
+inline b2Vec2 operator + (const b2Vec2& a, const b2Vec2& b)
+{
+ return b2Vec2(a.x + b.x, a.y + b.y);
+}
+
+/// Subtract two vectors component-wise.
+inline b2Vec2 operator - (const b2Vec2& a, const b2Vec2& b)
+{
+ return b2Vec2(a.x - b.x, a.y - b.y);
+}
+
+inline b2Vec2 operator * (float32 s, const b2Vec2& a)
+{
+ return b2Vec2(s * a.x, s * a.y);
+}
+
+inline bool operator == (const b2Vec2& a, const b2Vec2& b)
+{
+ return a.x == b.x && a.y == b.y;
+}
+
+inline bool operator != (const b2Vec2& a, const b2Vec2& b)
+{
+ return a.x != b.x || a.y != b.y;
+}
+
+inline float32 b2Distance(const b2Vec2& a, const b2Vec2& b)
+{
+ b2Vec2 c = a - b;
+ return c.Length();
+}
+
+inline float32 b2DistanceSquared(const b2Vec2& a, const b2Vec2& b)
+{
+ b2Vec2 c = a - b;
+ return b2Dot(c, c);
+}
+
+inline b2Vec3 operator * (float32 s, const b2Vec3& a)
+{
+ return b2Vec3(s * a.x, s * a.y, s * a.z);
+}
+
+/// Add two vectors component-wise.
+inline b2Vec3 operator + (const b2Vec3& a, const b2Vec3& b)
+{
+ return b2Vec3(a.x + b.x, a.y + b.y, a.z + b.z);
+}
+
+/// Subtract two vectors component-wise.
+inline b2Vec3 operator - (const b2Vec3& a, const b2Vec3& b)
+{
+ return b2Vec3(a.x - b.x, a.y - b.y, a.z - b.z);
+}
+
+/// Perform the dot product on two vectors.
+inline float32 b2Dot(const b2Vec3& a, const b2Vec3& b)
+{
+ return a.x * b.x + a.y * b.y + a.z * b.z;
+}
+
+/// Perform the cross product on two vectors.
+inline b2Vec3 b2Cross(const b2Vec3& a, const b2Vec3& b)
+{
+ return b2Vec3(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x);
+}
+
+inline b2Mat22 operator + (const b2Mat22& A, const b2Mat22& B)
+{
+ return b2Mat22(A.ex + B.ex, A.ey + B.ey);
+}
+
+// A * B
+inline b2Mat22 b2Mul(const b2Mat22& A, const b2Mat22& B)
+{
+ return b2Mat22(b2Mul(A, B.ex), b2Mul(A, B.ey));
+}
+
+// A^T * B
+inline b2Mat22 b2MulT(const b2Mat22& A, const b2Mat22& B)
+{
+ b2Vec2 c1(b2Dot(A.ex, B.ex), b2Dot(A.ey, B.ex));
+ b2Vec2 c2(b2Dot(A.ex, B.ey), b2Dot(A.ey, B.ey));
+ return b2Mat22(c1, c2);
+}
+
+/// Multiply a matrix times a vector.
+inline b2Vec3 b2Mul(const b2Mat33& A, const b2Vec3& v)
+{
+ return v.x * A.ex + v.y * A.ey + v.z * A.ez;
+}
+
+/// Multiply a matrix times a vector.
+inline b2Vec2 b2Mul22(const b2Mat33& A, const b2Vec2& v)
+{
+ return b2Vec2(A.ex.x * v.x + A.ey.x * v.y, A.ex.y * v.x + A.ey.y * v.y);
+}
+
+/// Multiply two rotations: q * r
+inline b2Rot b2Mul(const b2Rot& q, const b2Rot& r)
+{
+ // [qc -qs] * [rc -rs] = [qc*rc-qs*rs -qc*rs-qs*rc]
+ // [qs qc] [rs rc] [qs*rc+qc*rs -qs*rs+qc*rc]
+ // s = qs * rc + qc * rs
+ // c = qc * rc - qs * rs
+ b2Rot qr;
+ qr.s = q.s * r.c + q.c * r.s;
+ qr.c = q.c * r.c - q.s * r.s;
+ return qr;
+}
+
+/// Transpose multiply two rotations: qT * r
+inline b2Rot b2MulT(const b2Rot& q, const b2Rot& r)
+{
+ // [ qc qs] * [rc -rs] = [qc*rc+qs*rs -qc*rs+qs*rc]
+ // [-qs qc] [rs rc] [-qs*rc+qc*rs qs*rs+qc*rc]
+ // s = qc * rs - qs * rc
+ // c = qc * rc + qs * rs
+ b2Rot qr;
+ qr.s = q.c * r.s - q.s * r.c;
+ qr.c = q.c * r.c + q.s * r.s;
+ return qr;
+}
+
+/// Rotate a vector
+inline b2Vec2 b2Mul(const b2Rot& q, const b2Vec2& v)
+{
+ return b2Vec2(q.c * v.x - q.s * v.y, q.s * v.x + q.c * v.y);
+}
+
+/// Inverse rotate a vector
+inline b2Vec2 b2MulT(const b2Rot& q, const b2Vec2& v)
+{
+ return b2Vec2(q.c * v.x + q.s * v.y, -q.s * v.x + q.c * v.y);
+}
+
+inline b2Vec2 b2Mul(const b2Transform& T, const b2Vec2& v)
+{
+ float32 x = (T.q.c * v.x - T.q.s * v.y) + T.p.x;
+ float32 y = (T.q.s * v.x + T.q.c * v.y) + T.p.y;
+
+ return b2Vec2(x, y);
+}
+
+inline b2Vec2 b2MulT(const b2Transform& T, const b2Vec2& v)
+{
+ float32 px = v.x - T.p.x;
+ float32 py = v.y - T.p.y;
+ float32 x = (T.q.c * px + T.q.s * py);
+ float32 y = (-T.q.s * px + T.q.c * py);
+
+ return b2Vec2(x, y);
+}
+
+// v2 = A.q.Rot(B.q.Rot(v1) + B.p) + A.p
+// = (A.q * B.q).Rot(v1) + A.q.Rot(B.p) + A.p
+inline b2Transform b2Mul(const b2Transform& A, const b2Transform& B)
+{
+ b2Transform C;
+ C.q = b2Mul(A.q, B.q);
+ C.p = b2Mul(A.q, B.p) + A.p;
+ return C;
+}
+
+// v2 = A.q' * (B.q * v1 + B.p - A.p)
+// = A.q' * B.q * v1 + A.q' * (B.p - A.p)
+inline b2Transform b2MulT(const b2Transform& A, const b2Transform& B)
+{
+ b2Transform C;
+ C.q = b2MulT(A.q, B.q);
+ C.p = b2MulT(A.q, B.p - A.p);
+ return C;
+}
+
+template <typename T>
+inline T b2Abs(T a)
+{
+ return a > T(0) ? a : -a;
+}
+
+inline b2Vec2 b2Abs(const b2Vec2& a)
+{
+ return b2Vec2(b2Abs(a.x), b2Abs(a.y));
+}
+
+inline b2Mat22 b2Abs(const b2Mat22& A)
+{
+ return b2Mat22(b2Abs(A.ex), b2Abs(A.ey));
+}
+
+template <typename T>
+inline T b2Min(T a, T b)
+{
+ return a < b ? a : b;
+}
+
+inline b2Vec2 b2Min(const b2Vec2& a, const b2Vec2& b)
+{
+ return b2Vec2(b2Min(a.x, b.x), b2Min(a.y, b.y));
+}
+
+template <typename T>
+inline T b2Max(T a, T b)
+{
+ return a > b ? a : b;
+}
+
+inline b2Vec2 b2Max(const b2Vec2& a, const b2Vec2& b)
+{
+ return b2Vec2(b2Max(a.x, b.x), b2Max(a.y, b.y));
+}
+
+template <typename T>
+inline T b2Clamp(T a, T low, T high)
+{
+ return b2Max(low, b2Min(a, high));
+}
+
+inline b2Vec2 b2Clamp(const b2Vec2& a, const b2Vec2& low, const b2Vec2& high)
+{
+ return b2Max(low, b2Min(a, high));
+}
+
+template<typename T> inline void b2Swap(T& a, T& b)
+{
+ T tmp = a;
+ a = b;
+ b = tmp;
+}
+
+/// "Next Largest Power of 2
+/// Given a binary integer value x, the next largest power of 2 can be computed by a SWAR algorithm
+/// that recursively "folds" the upper bits into the lower bits. This process yields a bit vector with
+/// the same most significant 1 as x, but all 1's below it. Adding 1 to that value yields the next
+/// largest power of 2. For a 32-bit value:"
+inline uint32 b2NextPowerOfTwo(uint32 x)
+{
+ x |= (x >> 1);
+ x |= (x >> 2);
+ x |= (x >> 4);
+ x |= (x >> 8);
+ x |= (x >> 16);
+ return x + 1;
+}
+
+inline bool b2IsPowerOfTwo(uint32 x)
+{
+ bool result = x > 0 && (x & (x - 1)) == 0;
+ return result;
+}
+
+inline void b2Sweep::GetTransform(b2Transform* xf, float32 beta) const
+{
+ xf->p = (1.0f - beta) * c0 + beta * c;
+ float32 angle = (1.0f - beta) * a0 + beta * a;
+ xf->q.Set(angle);
+
+ // Shift to origin
+ xf->p -= b2Mul(xf->q, localCenter);
+}
+
+inline void b2Sweep::Advance(float32 alpha)
+{
+ b2Assert(alpha0 < 1.0f);
+ float32 beta = (alpha - alpha0) / (1.0f - alpha0);
+ c0 += beta * (c - c0);
+ a0 += beta * (a - a0);
+ alpha0 = alpha;
+}
+
+/// Normalize an angle in radians to be between -pi and pi
+inline void b2Sweep::Normalize()
+{
+ float32 twoPi = 2.0f * b2_pi;
+ float32 d = twoPi * floorf(a0 / twoPi);
+ a0 -= d;
+ a -= d;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Common/b2Settings.cpp b/src/3rdparty/Box2D/Common/b2Settings.cpp
new file mode 100644
index 0000000..a59cefe
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Settings.cpp
@@ -0,0 +1,44 @@
+/*
+* 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 "Box2D/Common/b2Settings.h"
+#include <stdio.h>
+#include <stdarg.h>
+#include <stdlib.h>
+
+b2Version b2_version = {2, 3, 2};
+
+// Memory allocators. Modify these to use your own allocator.
+void* b2Alloc(int32 size)
+{
+ return malloc(size);
+}
+
+void b2Free(void* mem)
+{
+ free(mem);
+}
+
+// You can modify this to use your logging facility.
+void b2Log(const char* string, ...)
+{
+ va_list args;
+ va_start(args, string);
+ vprintf(string, args);
+ va_end(args);
+}
diff --git a/src/3rdparty/Box2D/Common/b2Settings.h b/src/3rdparty/Box2D/Common/b2Settings.h
new file mode 100644
index 0000000..c69280f
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Settings.h
@@ -0,0 +1,155 @@
+/*
+* 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_SETTINGS_H
+#define B2_SETTINGS_H
+
+#include <stddef.h>
+#include <assert.h>
+#include <float.h>
+
+#if !defined(NDEBUG)
+ #define b2DEBUG
+#endif
+
+#define B2_NOT_USED(x) ((void)(x))
+#define b2Assert(A) assert(A)
+
+typedef signed char int8;
+typedef signed short int16;
+typedef signed int int32;
+typedef unsigned char uint8;
+typedef unsigned short uint16;
+typedef unsigned int uint32;
+typedef float float32;
+typedef double float64;
+
+#define b2_maxFloat FLT_MAX
+#define b2_epsilon FLT_EPSILON
+#define b2_pi 3.14159265359f
+
+/// @file
+/// Global tuning constants based on meters-kilograms-seconds (MKS) units.
+///
+
+// Collision
+
+/// The maximum number of contact points between two convex shapes. Do
+/// not change this value.
+#define b2_maxManifoldPoints 2
+
+/// The maximum number of vertices on a convex polygon. You cannot increase
+/// this too much because b2BlockAllocator has a maximum object size.
+#define b2_maxPolygonVertices 8
+
+/// This is used to fatten AABBs in the dynamic tree. This allows proxies
+/// to move by a small amount without triggering a tree adjustment.
+/// This is in meters.
+#define b2_aabbExtension 0.1f
+
+/// This is used to fatten AABBs in the dynamic tree. This is used to predict
+/// the future position based on the current displacement.
+/// This is a dimensionless multiplier.
+#define b2_aabbMultiplier 2.0f
+
+/// A small length used as a collision and constraint tolerance. Usually it is
+/// chosen to be numerically significant, but visually insignificant.
+#define b2_linearSlop 0.005f
+
+/// A small angle used as a collision and constraint tolerance. Usually it is
+/// chosen to be numerically significant, but visually insignificant.
+#define b2_angularSlop (2.0f / 180.0f * b2_pi)
+
+/// The radius of the polygon/edge shape skin. This should not be modified. Making
+/// this smaller means polygons will have an insufficient buffer for continuous collision.
+/// Making it larger may create artifacts for vertex collision.
+#define b2_polygonRadius (2.0f * b2_linearSlop)
+
+/// Maximum number of sub-steps per contact in continuous physics simulation.
+#define b2_maxSubSteps 8
+
+
+// Dynamics
+
+/// Maximum number of contacts to be handled to solve a TOI impact.
+#define b2_maxTOIContacts 32
+
+/// A velocity threshold for elastic collisions. Any collision with a relative linear
+/// velocity below this threshold will be treated as inelastic.
+#define b2_velocityThreshold 1.0f
+
+/// The maximum linear position correction used when solving constraints. This helps to
+/// prevent overshoot.
+#define b2_maxLinearCorrection 0.2f
+
+/// The maximum angular position correction used when solving constraints. This helps to
+/// prevent overshoot.
+#define b2_maxAngularCorrection (8.0f / 180.0f * b2_pi)
+
+/// The maximum linear velocity of a body. This limit is very large and is used
+/// to prevent numerical problems. You shouldn't need to adjust this.
+#define b2_maxTranslation 2.0f
+#define b2_maxTranslationSquared (b2_maxTranslation * b2_maxTranslation)
+
+/// The maximum angular velocity of a body. This limit is very large and is used
+/// to prevent numerical problems. You shouldn't need to adjust this.
+#define b2_maxRotation (0.5f * b2_pi)
+#define b2_maxRotationSquared (b2_maxRotation * b2_maxRotation)
+
+/// This scale factor controls how fast overlap is resolved. Ideally this would be 1 so
+/// that overlap is removed in one time step. However using values close to 1 often lead
+/// to overshoot.
+#define b2_baumgarte 0.2f
+#define b2_toiBaugarte 0.75f
+
+
+// Sleep
+
+/// The time that a body must be still before it will go to sleep.
+#define b2_timeToSleep 0.5f
+
+/// A body cannot sleep if its linear velocity is above this tolerance.
+#define b2_linearSleepTolerance 0.01f
+
+/// A body cannot sleep if its angular velocity is above this tolerance.
+#define b2_angularSleepTolerance (2.0f / 180.0f * b2_pi)
+
+// Memory Allocation
+
+/// Implement this function to use your own memory allocator.
+void* b2Alloc(int32 size);
+
+/// If you implement b2Alloc, you should also implement this function.
+void b2Free(void* mem);
+
+/// Logging function.
+void b2Log(const char* string, ...);
+
+/// Version numbering scheme.
+/// See http://en.wikipedia.org/wiki/Software_versioning
+struct b2Version
+{
+ int32 major; ///< significant changes
+ int32 minor; ///< incremental changes
+ int32 revision; ///< bug fixes
+};
+
+/// Current version.
+extern b2Version b2_version;
+
+#endif
diff --git a/src/3rdparty/Box2D/Common/b2StackAllocator.cpp b/src/3rdparty/Box2D/Common/b2StackAllocator.cpp
new file mode 100644
index 0000000..1347f3c
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2StackAllocator.cpp
@@ -0,0 +1,83 @@
+/*
+* 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 "Box2D/Common/b2StackAllocator.h"
+#include "Box2D/Common/b2Math.h"
+
+b2StackAllocator::b2StackAllocator()
+{
+ m_index = 0;
+ m_allocation = 0;
+ m_maxAllocation = 0;
+ m_entryCount = 0;
+}
+
+b2StackAllocator::~b2StackAllocator()
+{
+ b2Assert(m_index == 0);
+ b2Assert(m_entryCount == 0);
+}
+
+void* b2StackAllocator::Allocate(int32 size)
+{
+ b2Assert(m_entryCount < b2_maxStackEntries);
+
+ b2StackEntry* entry = m_entries + m_entryCount;
+ entry->size = size;
+ if (m_index + size > b2_stackSize)
+ {
+ entry->data = (char*)b2Alloc(size);
+ entry->usedMalloc = true;
+ }
+ else
+ {
+ entry->data = m_data + m_index;
+ entry->usedMalloc = false;
+ m_index += size;
+ }
+
+ m_allocation += size;
+ m_maxAllocation = b2Max(m_maxAllocation, m_allocation);
+ ++m_entryCount;
+
+ return entry->data;
+}
+
+void b2StackAllocator::Free(void* p)
+{
+ b2Assert(m_entryCount > 0);
+ b2StackEntry* entry = m_entries + m_entryCount - 1;
+ b2Assert(p == entry->data);
+ if (entry->usedMalloc)
+ {
+ b2Free(p);
+ }
+ else
+ {
+ m_index -= entry->size;
+ }
+ m_allocation -= entry->size;
+ --m_entryCount;
+
+ p = nullptr;
+}
+
+int32 b2StackAllocator::GetMaxAllocation() const
+{
+ return m_maxAllocation;
+}
diff --git a/src/3rdparty/Box2D/Common/b2StackAllocator.h b/src/3rdparty/Box2D/Common/b2StackAllocator.h
new file mode 100644
index 0000000..27340e8
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2StackAllocator.h
@@ -0,0 +1,60 @@
+/*
+* 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_STACK_ALLOCATOR_H
+#define B2_STACK_ALLOCATOR_H
+
+#include "Box2D/Common/b2Settings.h"
+
+const int32 b2_stackSize = 100 * 1024; // 100k
+const int32 b2_maxStackEntries = 32;
+
+struct b2StackEntry
+{
+ char* data;
+ int32 size;
+ bool usedMalloc;
+};
+
+// This is a stack allocator used for fast per step allocations.
+// You must nest allocate/free pairs. The code will assert
+// if you try to interleave multiple allocate/free pairs.
+class b2StackAllocator
+{
+public:
+ b2StackAllocator();
+ ~b2StackAllocator();
+
+ void* Allocate(int32 size);
+ void Free(void* p);
+
+ int32 GetMaxAllocation() const;
+
+private:
+
+ char m_data[b2_stackSize];
+ int32 m_index;
+
+ int32 m_allocation;
+ int32 m_maxAllocation;
+
+ b2StackEntry m_entries[b2_maxStackEntries];
+ int32 m_entryCount;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Common/b2Timer.cpp b/src/3rdparty/Box2D/Common/b2Timer.cpp
new file mode 100644
index 0000000..38f3dea
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Timer.cpp
@@ -0,0 +1,121 @@
+/*
+* Copyright (c) 2011 Erin Catto http://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 "Box2D/Common/b2Timer.h"
+
+#if defined(_WIN32)
+
+float64 b2Timer::s_invFrequency = 0.0f;
+
+#ifndef WIN32_LEAN_AND_MEAN
+#define WIN32_LEAN_AND_MEAN
+#endif
+
+#include <windows.h>
+
+b2Timer::b2Timer()
+{
+ LARGE_INTEGER largeInteger;
+
+ if (s_invFrequency == 0.0f)
+ {
+ QueryPerformanceFrequency(&largeInteger);
+ s_invFrequency = float64(largeInteger.QuadPart);
+ if (s_invFrequency > 0.0f)
+ {
+ s_invFrequency = 1000.0f / s_invFrequency;
+ }
+ }
+
+ QueryPerformanceCounter(&largeInteger);
+ m_start = float64(largeInteger.QuadPart);
+}
+
+void b2Timer::Reset()
+{
+ LARGE_INTEGER largeInteger;
+ QueryPerformanceCounter(&largeInteger);
+ m_start = float64(largeInteger.QuadPart);
+}
+
+float32 b2Timer::GetMilliseconds() const
+{
+ LARGE_INTEGER largeInteger;
+ QueryPerformanceCounter(&largeInteger);
+ float64 count = float64(largeInteger.QuadPart);
+ float32 ms = float32(s_invFrequency * (count - m_start));
+ return ms;
+}
+
+#elif defined(__linux__) || defined (__APPLE__)
+
+#include <sys/time.h>
+
+b2Timer::b2Timer()
+{
+ Reset();
+}
+
+void b2Timer::Reset()
+{
+ timeval t;
+ gettimeofday(&t, 0);
+ m_start_sec = t.tv_sec;
+ m_start_usec = t.tv_usec;
+}
+
+float32 b2Timer::GetMilliseconds() const
+{
+ timeval t;
+ gettimeofday(&t, 0);
+ time_t start_sec = m_start_sec;
+ suseconds_t start_usec = m_start_usec;
+
+ // http://www.gnu.org/software/libc/manual/html_node/Elapsed-Time.html
+ if (t.tv_usec < start_usec)
+ {
+ int nsec = (start_usec - t.tv_usec) / 1000000 + 1;
+ start_usec -= 1000000 * nsec;
+ start_sec += nsec;
+ }
+
+ if (t.tv_usec - start_usec > 1000000)
+ {
+ int nsec = (t.tv_usec - start_usec) / 1000000;
+ start_usec += 1000000 * nsec;
+ start_sec -= nsec;
+ }
+ return 1000.0f * (t.tv_sec - start_sec) + 0.001f * (t.tv_usec - start_usec);
+}
+
+#else
+
+b2Timer::b2Timer()
+{
+}
+
+void b2Timer::Reset()
+{
+}
+
+float32 b2Timer::GetMilliseconds() const
+{
+ return 0.0f;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Common/b2Timer.h b/src/3rdparty/Box2D/Common/b2Timer.h
new file mode 100644
index 0000000..a25e907
--- /dev/null
+++ b/src/3rdparty/Box2D/Common/b2Timer.h
@@ -0,0 +1,50 @@
+/*
+* Copyright (c) 2011 Erin Catto http://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_TIMER_H
+#define B2_TIMER_H
+
+#include "Box2D/Common/b2Settings.h"
+
+/// Timer for profiling. This has platform specific code and may
+/// not work on every platform.
+class b2Timer
+{
+public:
+
+ /// Constructor
+ b2Timer();
+
+ /// Reset the timer.
+ void Reset();
+
+ /// Get the time since construction or the last reset.
+ float32 GetMilliseconds() const;
+
+private:
+
+#if defined(_WIN32)
+ float64 m_start;
+ static float64 s_invFrequency;
+#elif defined(__linux__) || defined (__APPLE__)
+ unsigned long long m_start_sec;
+ unsigned long long m_start_usec;
+#endif
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.cpp
new file mode 100644
index 0000000..c930255
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.cpp
@@ -0,0 +1,53 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2ChainAndCircleContact.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Collision/Shapes/b2ChainShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+
+#include <new>
+
+b2Contact* b2ChainAndCircleContact::Create(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator)
+{
+ void* mem = allocator->Allocate(sizeof(b2ChainAndCircleContact));
+ return new (mem) b2ChainAndCircleContact(fixtureA, indexA, fixtureB, indexB);
+}
+
+void b2ChainAndCircleContact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ ((b2ChainAndCircleContact*)contact)->~b2ChainAndCircleContact();
+ allocator->Free(contact, sizeof(b2ChainAndCircleContact));
+}
+
+b2ChainAndCircleContact::b2ChainAndCircleContact(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB)
+: b2Contact(fixtureA, indexA, fixtureB, indexB)
+{
+ b2Assert(m_fixtureA->GetType() == b2Shape::e_chain);
+ b2Assert(m_fixtureB->GetType() == b2Shape::e_circle);
+}
+
+void b2ChainAndCircleContact::Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB)
+{
+ b2ChainShape* chain = (b2ChainShape*)m_fixtureA->GetShape();
+ b2EdgeShape edge;
+ chain->GetChildEdge(&edge, m_indexA);
+ b2CollideEdgeAndCircle( manifold, &edge, xfA,
+ (b2CircleShape*)m_fixtureB->GetShape(), xfB);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.h
new file mode 100644
index 0000000..1421f90
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndCircleContact.h
@@ -0,0 +1,39 @@
+/*
+* 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_CHAIN_AND_CIRCLE_CONTACT_H
+#define B2_CHAIN_AND_CIRCLE_CONTACT_H
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+class b2BlockAllocator;
+
+class b2ChainAndCircleContact : public b2Contact
+{
+public:
+ static b2Contact* Create( b2Fixture* fixtureA, int32 indexA,
+ b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2ChainAndCircleContact(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB);
+ ~b2ChainAndCircleContact() {}
+
+ void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) override;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.cpp
new file mode 100644
index 0000000..78431d5
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.cpp
@@ -0,0 +1,53 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Collision/Shapes/b2ChainShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+
+#include <new>
+
+b2Contact* b2ChainAndPolygonContact::Create(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator)
+{
+ void* mem = allocator->Allocate(sizeof(b2ChainAndPolygonContact));
+ return new (mem) b2ChainAndPolygonContact(fixtureA, indexA, fixtureB, indexB);
+}
+
+void b2ChainAndPolygonContact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ ((b2ChainAndPolygonContact*)contact)->~b2ChainAndPolygonContact();
+ allocator->Free(contact, sizeof(b2ChainAndPolygonContact));
+}
+
+b2ChainAndPolygonContact::b2ChainAndPolygonContact(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB)
+: b2Contact(fixtureA, indexA, fixtureB, indexB)
+{
+ b2Assert(m_fixtureA->GetType() == b2Shape::e_chain);
+ b2Assert(m_fixtureB->GetType() == b2Shape::e_polygon);
+}
+
+void b2ChainAndPolygonContact::Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB)
+{
+ b2ChainShape* chain = (b2ChainShape*)m_fixtureA->GetShape();
+ b2EdgeShape edge;
+ chain->GetChildEdge(&edge, m_indexA);
+ b2CollideEdgeAndPolygon( manifold, &edge, xfA,
+ (b2PolygonShape*)m_fixtureB->GetShape(), xfB);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.h
new file mode 100644
index 0000000..89b8dd3
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.h
@@ -0,0 +1,39 @@
+/*
+* 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_CHAIN_AND_POLYGON_CONTACT_H
+#define B2_CHAIN_AND_POLYGON_CONTACT_H
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+class b2BlockAllocator;
+
+class b2ChainAndPolygonContact : public b2Contact
+{
+public:
+ static b2Contact* Create( b2Fixture* fixtureA, int32 indexA,
+ b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2ChainAndPolygonContact(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB);
+ ~b2ChainAndPolygonContact() {}
+
+ void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) override;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.cpp
new file mode 100644
index 0000000..3b6c50b
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.cpp
@@ -0,0 +1,52 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2CircleContact.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2WorldCallbacks.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Collision/b2TimeOfImpact.h"
+
+#include <new>
+
+b2Contact* b2CircleContact::Create(b2Fixture* fixtureA, int32, b2Fixture* fixtureB, int32, b2BlockAllocator* allocator)
+{
+ void* mem = allocator->Allocate(sizeof(b2CircleContact));
+ return new (mem) b2CircleContact(fixtureA, fixtureB);
+}
+
+void b2CircleContact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ ((b2CircleContact*)contact)->~b2CircleContact();
+ allocator->Free(contact, sizeof(b2CircleContact));
+}
+
+b2CircleContact::b2CircleContact(b2Fixture* fixtureA, b2Fixture* fixtureB)
+ : b2Contact(fixtureA, 0, fixtureB, 0)
+{
+ b2Assert(m_fixtureA->GetType() == b2Shape::e_circle);
+ b2Assert(m_fixtureB->GetType() == b2Shape::e_circle);
+}
+
+void b2CircleContact::Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB)
+{
+ b2CollideCircles(manifold,
+ (b2CircleShape*)m_fixtureA->GetShape(), xfA,
+ (b2CircleShape*)m_fixtureB->GetShape(), xfB);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.h
new file mode 100644
index 0000000..d40c7fb
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2CircleContact.h
@@ -0,0 +1,39 @@
+/*
+* 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_CONTACT_H
+#define B2_CIRCLE_CONTACT_H
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+class b2BlockAllocator;
+
+class b2CircleContact : public b2Contact
+{
+public:
+ static b2Contact* Create( b2Fixture* fixtureA, int32 indexA,
+ b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2CircleContact(b2Fixture* fixtureA, b2Fixture* fixtureB);
+ ~b2CircleContact() {}
+
+ void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) override;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.cpp
new file mode 100644
index 0000000..41b0f78
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.cpp
@@ -0,0 +1,247 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2Contact.h"
+#include "Box2D/Dynamics/Contacts/b2CircleContact.h"
+#include "Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.h"
+#include "Box2D/Dynamics/Contacts/b2PolygonContact.h"
+#include "Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.h"
+#include "Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.h"
+#include "Box2D/Dynamics/Contacts/b2ChainAndCircleContact.h"
+#include "Box2D/Dynamics/Contacts/b2ChainAndPolygonContact.h"
+#include "Box2D/Dynamics/Contacts/b2ContactSolver.h"
+
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/b2TimeOfImpact.h"
+#include "Box2D/Collision/Shapes/b2Shape.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2World.h"
+
+b2ContactRegister b2Contact::s_registers[b2Shape::e_typeCount][b2Shape::e_typeCount];
+bool b2Contact::s_initialized = false;
+
+void b2Contact::InitializeRegisters()
+{
+ AddType(b2CircleContact::Create, b2CircleContact::Destroy, b2Shape::e_circle, b2Shape::e_circle);
+ AddType(b2PolygonAndCircleContact::Create, b2PolygonAndCircleContact::Destroy, b2Shape::e_polygon, b2Shape::e_circle);
+ AddType(b2PolygonContact::Create, b2PolygonContact::Destroy, b2Shape::e_polygon, b2Shape::e_polygon);
+ AddType(b2EdgeAndCircleContact::Create, b2EdgeAndCircleContact::Destroy, b2Shape::e_edge, b2Shape::e_circle);
+ AddType(b2EdgeAndPolygonContact::Create, b2EdgeAndPolygonContact::Destroy, b2Shape::e_edge, b2Shape::e_polygon);
+ AddType(b2ChainAndCircleContact::Create, b2ChainAndCircleContact::Destroy, b2Shape::e_chain, b2Shape::e_circle);
+ AddType(b2ChainAndPolygonContact::Create, b2ChainAndPolygonContact::Destroy, b2Shape::e_chain, b2Shape::e_polygon);
+}
+
+void b2Contact::AddType(b2ContactCreateFcn* createFcn, b2ContactDestroyFcn* destoryFcn,
+ b2Shape::Type type1, b2Shape::Type type2)
+{
+ b2Assert(0 <= type1 && type1 < b2Shape::e_typeCount);
+ b2Assert(0 <= type2 && type2 < b2Shape::e_typeCount);
+
+ s_registers[type1][type2].createFcn = createFcn;
+ s_registers[type1][type2].destroyFcn = destoryFcn;
+ s_registers[type1][type2].primary = true;
+
+ if (type1 != type2)
+ {
+ s_registers[type2][type1].createFcn = createFcn;
+ s_registers[type2][type1].destroyFcn = destoryFcn;
+ s_registers[type2][type1].primary = false;
+ }
+}
+
+b2Contact* b2Contact::Create(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator)
+{
+ if (s_initialized == false)
+ {
+ InitializeRegisters();
+ s_initialized = true;
+ }
+
+ b2Shape::Type type1 = fixtureA->GetType();
+ b2Shape::Type type2 = fixtureB->GetType();
+
+ b2Assert(0 <= type1 && type1 < b2Shape::e_typeCount);
+ b2Assert(0 <= type2 && type2 < b2Shape::e_typeCount);
+
+ b2ContactCreateFcn* createFcn = s_registers[type1][type2].createFcn;
+ if (createFcn)
+ {
+ if (s_registers[type1][type2].primary)
+ {
+ return createFcn(fixtureA, indexA, fixtureB, indexB, allocator);
+ }
+ else
+ {
+ return createFcn(fixtureB, indexB, fixtureA, indexA, allocator);
+ }
+ }
+ else
+ {
+ return nullptr;
+ }
+}
+
+void b2Contact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ b2Assert(s_initialized == true);
+
+ b2Fixture* fixtureA = contact->m_fixtureA;
+ b2Fixture* fixtureB = contact->m_fixtureB;
+
+ if (contact->m_manifold.pointCount > 0 &&
+ fixtureA->IsSensor() == false &&
+ fixtureB->IsSensor() == false)
+ {
+ fixtureA->GetBody()->SetAwake(true);
+ fixtureB->GetBody()->SetAwake(true);
+ }
+
+ b2Shape::Type typeA = fixtureA->GetType();
+ b2Shape::Type typeB = fixtureB->GetType();
+
+ b2Assert(0 <= typeA && typeB < b2Shape::e_typeCount);
+ b2Assert(0 <= typeA && typeB < b2Shape::e_typeCount);
+
+ b2ContactDestroyFcn* destroyFcn = s_registers[typeA][typeB].destroyFcn;
+ destroyFcn(contact, allocator);
+}
+
+b2Contact::b2Contact(b2Fixture* fA, int32 indexA, b2Fixture* fB, int32 indexB)
+{
+ m_flags = e_enabledFlag;
+
+ m_fixtureA = fA;
+ m_fixtureB = fB;
+
+ m_indexA = indexA;
+ m_indexB = indexB;
+
+ m_manifold.pointCount = 0;
+
+ m_prev = nullptr;
+ m_next = nullptr;
+
+ m_nodeA.contact = nullptr;
+ m_nodeA.prev = nullptr;
+ m_nodeA.next = nullptr;
+ m_nodeA.other = nullptr;
+
+ m_nodeB.contact = nullptr;
+ m_nodeB.prev = nullptr;
+ m_nodeB.next = nullptr;
+ m_nodeB.other = nullptr;
+
+ m_toiCount = 0;
+
+ m_friction = b2MixFriction(m_fixtureA->m_friction, m_fixtureB->m_friction);
+ m_restitution = b2MixRestitution(m_fixtureA->m_restitution, m_fixtureB->m_restitution);
+
+ m_tangentSpeed = 0.0f;
+}
+
+// Update the contact manifold and touching status.
+// Note: do not assume the fixture AABBs are overlapping or are valid.
+void b2Contact::Update(b2ContactListener* listener)
+{
+ b2Manifold oldManifold = m_manifold;
+
+ // Re-enable this contact.
+ m_flags |= e_enabledFlag;
+
+ bool touching = false;
+ bool wasTouching = (m_flags & e_touchingFlag) == e_touchingFlag;
+
+ bool sensorA = m_fixtureA->IsSensor();
+ bool sensorB = m_fixtureB->IsSensor();
+ bool sensor = sensorA || sensorB;
+
+ b2Body* bodyA = m_fixtureA->GetBody();
+ b2Body* bodyB = m_fixtureB->GetBody();
+ const b2Transform& xfA = bodyA->GetTransform();
+ const b2Transform& xfB = bodyB->GetTransform();
+
+ // Is this contact a sensor?
+ if (sensor)
+ {
+ const b2Shape* shapeA = m_fixtureA->GetShape();
+ const b2Shape* shapeB = m_fixtureB->GetShape();
+ touching = b2TestOverlap(shapeA, m_indexA, shapeB, m_indexB, xfA, xfB);
+
+ // Sensors don't generate manifolds.
+ m_manifold.pointCount = 0;
+ }
+ else
+ {
+ Evaluate(&m_manifold, xfA, xfB);
+ touching = m_manifold.pointCount > 0;
+
+ // Match old contact ids to new contact ids and copy the
+ // stored impulses to warm start the solver.
+ for (int32 i = 0; i < m_manifold.pointCount; ++i)
+ {
+ b2ManifoldPoint* mp2 = m_manifold.points + i;
+ mp2->normalImpulse = 0.0f;
+ mp2->tangentImpulse = 0.0f;
+ b2ContactID id2 = mp2->id;
+
+ for (int32 j = 0; j < oldManifold.pointCount; ++j)
+ {
+ b2ManifoldPoint* mp1 = oldManifold.points + j;
+
+ if (mp1->id.key == id2.key)
+ {
+ mp2->normalImpulse = mp1->normalImpulse;
+ mp2->tangentImpulse = mp1->tangentImpulse;
+ break;
+ }
+ }
+ }
+
+ if (touching != wasTouching)
+ {
+ bodyA->SetAwake(true);
+ bodyB->SetAwake(true);
+ }
+ }
+
+ if (touching)
+ {
+ m_flags |= e_touchingFlag;
+ }
+ else
+ {
+ m_flags &= ~e_touchingFlag;
+ }
+
+ if (wasTouching == false && touching == true && listener)
+ {
+ listener->BeginContact(this);
+ }
+
+ if (wasTouching == true && touching == false && listener)
+ {
+ listener->EndContact(this);
+ }
+
+ if (sensor == false && touching && listener)
+ {
+ listener->PreSolve(this, &oldManifold);
+ }
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.h
new file mode 100644
index 0000000..df23d3c
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2Contact.h
@@ -0,0 +1,349 @@
+/*
+* 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_CONTACT_H
+#define B2_CONTACT_H
+
+#include "Box2D/Common/b2Math.h"
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/Shapes/b2Shape.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+
+class b2Body;
+class b2Contact;
+class b2Fixture;
+class b2World;
+class b2BlockAllocator;
+class b2StackAllocator;
+class b2ContactListener;
+
+/// Friction mixing law. The idea is to allow either fixture to drive the friction to zero.
+/// For example, anything slides on ice.
+inline float32 b2MixFriction(float32 friction1, float32 friction2)
+{
+ return b2Sqrt(friction1 * friction2);
+}
+
+/// Restitution mixing law. The idea is allow for anything to bounce off an inelastic surface.
+/// For example, a superball bounces on anything.
+inline float32 b2MixRestitution(float32 restitution1, float32 restitution2)
+{
+ return restitution1 > restitution2 ? restitution1 : restitution2;
+}
+
+typedef b2Contact* b2ContactCreateFcn( b2Fixture* fixtureA, int32 indexA,
+ b2Fixture* fixtureB, int32 indexB,
+ b2BlockAllocator* allocator);
+typedef void b2ContactDestroyFcn(b2Contact* contact, b2BlockAllocator* allocator);
+
+struct b2ContactRegister
+{
+ b2ContactCreateFcn* createFcn;
+ b2ContactDestroyFcn* destroyFcn;
+ bool primary;
+};
+
+/// A contact edge is used to connect bodies and contacts together
+/// in a contact graph where each body is a node and each contact
+/// is an edge. A contact edge belongs to a doubly linked list
+/// maintained in each attached body. Each contact has two contact
+/// nodes, one for each attached body.
+struct b2ContactEdge
+{
+ b2Body* other; ///< provides quick access to the other body attached.
+ b2Contact* contact; ///< the contact
+ b2ContactEdge* prev; ///< the previous contact edge in the body's contact list
+ b2ContactEdge* next; ///< the next contact edge in the body's contact list
+};
+
+/// The class manages contact between two shapes. A contact exists for each overlapping
+/// AABB in the broad-phase (except if filtered). Therefore a contact object may exist
+/// that has no contact points.
+class b2Contact
+{
+public:
+
+ /// Get the contact manifold. Do not modify the manifold unless you understand the
+ /// internals of Box2D.
+ b2Manifold* GetManifold();
+ const b2Manifold* GetManifold() const;
+
+ /// Get the world manifold.
+ void GetWorldManifold(b2WorldManifold* worldManifold) const;
+
+ /// Is this contact touching?
+ bool IsTouching() const;
+
+ /// Enable/disable this contact. This can be used inside the pre-solve
+ /// contact listener. The contact is only disabled for the current
+ /// time step (or sub-step in continuous collisions).
+ void SetEnabled(bool flag);
+
+ /// Has this contact been disabled?
+ bool IsEnabled() const;
+
+ /// Get the next contact in the world's contact list.
+ b2Contact* GetNext();
+ const b2Contact* GetNext() const;
+
+ /// Get fixture A in this contact.
+ b2Fixture* GetFixtureA();
+ const b2Fixture* GetFixtureA() const;
+
+ /// Get the child primitive index for fixture A.
+ int32 GetChildIndexA() const;
+
+ /// Get fixture B in this contact.
+ b2Fixture* GetFixtureB();
+ const b2Fixture* GetFixtureB() const;
+
+ /// Get the child primitive index for fixture B.
+ int32 GetChildIndexB() const;
+
+ /// Override the default friction mixture. You can call this in b2ContactListener::PreSolve.
+ /// This value persists until set or reset.
+ void SetFriction(float32 friction);
+
+ /// Get the friction.
+ float32 GetFriction() const;
+
+ /// Reset the friction mixture to the default value.
+ void ResetFriction();
+
+ /// Override the default restitution mixture. You can call this in b2ContactListener::PreSolve.
+ /// The value persists until you set or reset.
+ void SetRestitution(float32 restitution);
+
+ /// Get the restitution.
+ float32 GetRestitution() const;
+
+ /// Reset the restitution to the default value.
+ void ResetRestitution();
+
+ /// Set the desired tangent speed for a conveyor belt behavior. In meters per second.
+ void SetTangentSpeed(float32 speed);
+
+ /// Get the desired tangent speed. In meters per second.
+ float32 GetTangentSpeed() const;
+
+ /// Evaluate this contact with your own manifold and transforms.
+ virtual void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) = 0;
+
+protected:
+ friend class b2ContactManager;
+ friend class b2World;
+ friend class b2ContactSolver;
+ friend class b2Body;
+ friend class b2Fixture;
+
+ // Flags stored in m_flags
+ enum
+ {
+ // Used when crawling contact graph when forming islands.
+ e_islandFlag = 0x0001,
+
+ // Set when the shapes are touching.
+ e_touchingFlag = 0x0002,
+
+ // This contact can be disabled (by user)
+ e_enabledFlag = 0x0004,
+
+ // This contact needs filtering because a fixture filter was changed.
+ e_filterFlag = 0x0008,
+
+ // This bullet contact had a TOI event
+ e_bulletHitFlag = 0x0010,
+
+ // This contact has a valid TOI in m_toi
+ e_toiFlag = 0x0020
+ };
+
+ /// Flag this contact for filtering. Filtering will occur the next time step.
+ void FlagForFiltering();
+
+ static void AddType(b2ContactCreateFcn* createFcn, b2ContactDestroyFcn* destroyFcn,
+ b2Shape::Type typeA, b2Shape::Type typeB);
+ static void InitializeRegisters();
+ static b2Contact* Create(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2Shape::Type typeA, b2Shape::Type typeB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2Contact() : m_fixtureA(nullptr), m_fixtureB(nullptr) {}
+ b2Contact(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB);
+ virtual ~b2Contact() {}
+
+ void Update(b2ContactListener* listener);
+
+ static b2ContactRegister s_registers[b2Shape::e_typeCount][b2Shape::e_typeCount];
+ static bool s_initialized;
+
+ uint32 m_flags;
+
+ // World pool and list pointers.
+ b2Contact* m_prev;
+ b2Contact* m_next;
+
+ // Nodes for connecting bodies.
+ b2ContactEdge m_nodeA;
+ b2ContactEdge m_nodeB;
+
+ b2Fixture* m_fixtureA;
+ b2Fixture* m_fixtureB;
+
+ int32 m_indexA;
+ int32 m_indexB;
+
+ b2Manifold m_manifold;
+
+ int32 m_toiCount;
+ float32 m_toi;
+
+ float32 m_friction;
+ float32 m_restitution;
+
+ float32 m_tangentSpeed;
+};
+
+inline b2Manifold* b2Contact::GetManifold()
+{
+ return &m_manifold;
+}
+
+inline const b2Manifold* b2Contact::GetManifold() const
+{
+ return &m_manifold;
+}
+
+inline void b2Contact::GetWorldManifold(b2WorldManifold* worldManifold) const
+{
+ const b2Body* bodyA = m_fixtureA->GetBody();
+ const b2Body* bodyB = m_fixtureB->GetBody();
+ const b2Shape* shapeA = m_fixtureA->GetShape();
+ const b2Shape* shapeB = m_fixtureB->GetShape();
+
+ worldManifold->Initialize(&m_manifold, bodyA->GetTransform(), shapeA->m_radius, bodyB->GetTransform(), shapeB->m_radius);
+}
+
+inline void b2Contact::SetEnabled(bool flag)
+{
+ if (flag)
+ {
+ m_flags |= e_enabledFlag;
+ }
+ else
+ {
+ m_flags &= ~e_enabledFlag;
+ }
+}
+
+inline bool b2Contact::IsEnabled() const
+{
+ return (m_flags & e_enabledFlag) == e_enabledFlag;
+}
+
+inline bool b2Contact::IsTouching() const
+{
+ return (m_flags & e_touchingFlag) == e_touchingFlag;
+}
+
+inline b2Contact* b2Contact::GetNext()
+{
+ return m_next;
+}
+
+inline const b2Contact* b2Contact::GetNext() const
+{
+ return m_next;
+}
+
+inline b2Fixture* b2Contact::GetFixtureA()
+{
+ return m_fixtureA;
+}
+
+inline const b2Fixture* b2Contact::GetFixtureA() const
+{
+ return m_fixtureA;
+}
+
+inline b2Fixture* b2Contact::GetFixtureB()
+{
+ return m_fixtureB;
+}
+
+inline int32 b2Contact::GetChildIndexA() const
+{
+ return m_indexA;
+}
+
+inline const b2Fixture* b2Contact::GetFixtureB() const
+{
+ return m_fixtureB;
+}
+
+inline int32 b2Contact::GetChildIndexB() const
+{
+ return m_indexB;
+}
+
+inline void b2Contact::FlagForFiltering()
+{
+ m_flags |= e_filterFlag;
+}
+
+inline void b2Contact::SetFriction(float32 friction)
+{
+ m_friction = friction;
+}
+
+inline float32 b2Contact::GetFriction() const
+{
+ return m_friction;
+}
+
+inline void b2Contact::ResetFriction()
+{
+ m_friction = b2MixFriction(m_fixtureA->m_friction, m_fixtureB->m_friction);
+}
+
+inline void b2Contact::SetRestitution(float32 restitution)
+{
+ m_restitution = restitution;
+}
+
+inline float32 b2Contact::GetRestitution() const
+{
+ return m_restitution;
+}
+
+inline void b2Contact::ResetRestitution()
+{
+ m_restitution = b2MixRestitution(m_fixtureA->m_restitution, m_fixtureB->m_restitution);
+}
+
+inline void b2Contact::SetTangentSpeed(float32 speed)
+{
+ m_tangentSpeed = speed;
+}
+
+inline float32 b2Contact::GetTangentSpeed() const
+{
+ return m_tangentSpeed;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.cpp
new file mode 100644
index 0000000..147968c
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.cpp
@@ -0,0 +1,838 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Dynamics/Contacts/b2ContactSolver.h"
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2World.h"
+#include "Box2D/Common/b2StackAllocator.h"
+
+// Solver debugging is normally disabled because the block solver sometimes has to deal with a poorly conditioned effective mass matrix.
+#define B2_DEBUG_SOLVER 0
+
+bool g_blockSolve = true;
+
+struct b2ContactPositionConstraint
+{
+ b2Vec2 localPoints[b2_maxManifoldPoints];
+ b2Vec2 localNormal;
+ b2Vec2 localPoint;
+ int32 indexA;
+ int32 indexB;
+ float32 invMassA, invMassB;
+ b2Vec2 localCenterA, localCenterB;
+ float32 invIA, invIB;
+ b2Manifold::Type type;
+ float32 radiusA, radiusB;
+ int32 pointCount;
+};
+
+b2ContactSolver::b2ContactSolver(b2ContactSolverDef* def)
+{
+ m_step = def->step;
+ m_allocator = def->allocator;
+ m_count = def->count;
+ m_positionConstraints = (b2ContactPositionConstraint*)m_allocator->Allocate(m_count * sizeof(b2ContactPositionConstraint));
+ m_velocityConstraints = (b2ContactVelocityConstraint*)m_allocator->Allocate(m_count * sizeof(b2ContactVelocityConstraint));
+ m_positions = def->positions;
+ m_velocities = def->velocities;
+ m_contacts = def->contacts;
+
+ // Initialize position independent portions of the constraints.
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2Contact* contact = m_contacts[i];
+
+ b2Fixture* fixtureA = contact->m_fixtureA;
+ b2Fixture* fixtureB = contact->m_fixtureB;
+ b2Shape* shapeA = fixtureA->GetShape();
+ b2Shape* shapeB = fixtureB->GetShape();
+ float32 radiusA = shapeA->m_radius;
+ float32 radiusB = shapeB->m_radius;
+ b2Body* bodyA = fixtureA->GetBody();
+ b2Body* bodyB = fixtureB->GetBody();
+ b2Manifold* manifold = contact->GetManifold();
+
+ int32 pointCount = manifold->pointCount;
+ b2Assert(pointCount > 0);
+
+ b2ContactVelocityConstraint* vc = m_velocityConstraints + i;
+ vc->friction = contact->m_friction;
+ vc->restitution = contact->m_restitution;
+ vc->tangentSpeed = contact->m_tangentSpeed;
+ vc->indexA = bodyA->m_islandIndex;
+ vc->indexB = bodyB->m_islandIndex;
+ vc->invMassA = bodyA->m_invMass;
+ vc->invMassB = bodyB->m_invMass;
+ vc->invIA = bodyA->m_invI;
+ vc->invIB = bodyB->m_invI;
+ vc->contactIndex = i;
+ vc->pointCount = pointCount;
+ vc->K.SetZero();
+ vc->normalMass.SetZero();
+
+ b2ContactPositionConstraint* pc = m_positionConstraints + i;
+ pc->indexA = bodyA->m_islandIndex;
+ pc->indexB = bodyB->m_islandIndex;
+ pc->invMassA = bodyA->m_invMass;
+ pc->invMassB = bodyB->m_invMass;
+ pc->localCenterA = bodyA->m_sweep.localCenter;
+ pc->localCenterB = bodyB->m_sweep.localCenter;
+ pc->invIA = bodyA->m_invI;
+ pc->invIB = bodyB->m_invI;
+ pc->localNormal = manifold->localNormal;
+ pc->localPoint = manifold->localPoint;
+ pc->pointCount = pointCount;
+ pc->radiusA = radiusA;
+ pc->radiusB = radiusB;
+ pc->type = manifold->type;
+
+ for (int32 j = 0; j < pointCount; ++j)
+ {
+ b2ManifoldPoint* cp = manifold->points + j;
+ b2VelocityConstraintPoint* vcp = vc->points + j;
+
+ if (m_step.warmStarting)
+ {
+ vcp->normalImpulse = m_step.dtRatio * cp->normalImpulse;
+ vcp->tangentImpulse = m_step.dtRatio * cp->tangentImpulse;
+ }
+ else
+ {
+ vcp->normalImpulse = 0.0f;
+ vcp->tangentImpulse = 0.0f;
+ }
+
+ vcp->rA.SetZero();
+ vcp->rB.SetZero();
+ vcp->normalMass = 0.0f;
+ vcp->tangentMass = 0.0f;
+ vcp->velocityBias = 0.0f;
+
+ pc->localPoints[j] = cp->localPoint;
+ }
+ }
+}
+
+b2ContactSolver::~b2ContactSolver()
+{
+ m_allocator->Free(m_velocityConstraints);
+ m_allocator->Free(m_positionConstraints);
+}
+
+// Initialize position dependent portions of the velocity constraints.
+void b2ContactSolver::InitializeVelocityConstraints()
+{
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2ContactVelocityConstraint* vc = m_velocityConstraints + i;
+ b2ContactPositionConstraint* pc = m_positionConstraints + i;
+
+ float32 radiusA = pc->radiusA;
+ float32 radiusB = pc->radiusB;
+ b2Manifold* manifold = m_contacts[vc->contactIndex]->GetManifold();
+
+ int32 indexA = vc->indexA;
+ int32 indexB = vc->indexB;
+
+ float32 mA = vc->invMassA;
+ float32 mB = vc->invMassB;
+ float32 iA = vc->invIA;
+ float32 iB = vc->invIB;
+ b2Vec2 localCenterA = pc->localCenterA;
+ b2Vec2 localCenterB = pc->localCenterB;
+
+ b2Vec2 cA = m_positions[indexA].c;
+ float32 aA = m_positions[indexA].a;
+ b2Vec2 vA = m_velocities[indexA].v;
+ float32 wA = m_velocities[indexA].w;
+
+ b2Vec2 cB = m_positions[indexB].c;
+ float32 aB = m_positions[indexB].a;
+ b2Vec2 vB = m_velocities[indexB].v;
+ float32 wB = m_velocities[indexB].w;
+
+ b2Assert(manifold->pointCount > 0);
+
+ b2Transform xfA, xfB;
+ xfA.q.Set(aA);
+ xfB.q.Set(aB);
+ xfA.p = cA - b2Mul(xfA.q, localCenterA);
+ xfB.p = cB - b2Mul(xfB.q, localCenterB);
+
+ b2WorldManifold worldManifold;
+ worldManifold.Initialize(manifold, xfA, radiusA, xfB, radiusB);
+
+ vc->normal = worldManifold.normal;
+
+ int32 pointCount = vc->pointCount;
+ for (int32 j = 0; j < pointCount; ++j)
+ {
+ b2VelocityConstraintPoint* vcp = vc->points + j;
+
+ vcp->rA = worldManifold.points[j] - cA;
+ vcp->rB = worldManifold.points[j] - cB;
+
+ float32 rnA = b2Cross(vcp->rA, vc->normal);
+ float32 rnB = b2Cross(vcp->rB, vc->normal);
+
+ float32 kNormal = mA + mB + iA * rnA * rnA + iB * rnB * rnB;
+
+ vcp->normalMass = kNormal > 0.0f ? 1.0f / kNormal : 0.0f;
+
+ b2Vec2 tangent = b2Cross(vc->normal, 1.0f);
+
+ float32 rtA = b2Cross(vcp->rA, tangent);
+ float32 rtB = b2Cross(vcp->rB, tangent);
+
+ float32 kTangent = mA + mB + iA * rtA * rtA + iB * rtB * rtB;
+
+ vcp->tangentMass = kTangent > 0.0f ? 1.0f / kTangent : 0.0f;
+
+ // Setup a velocity bias for restitution.
+ vcp->velocityBias = 0.0f;
+ float32 vRel = b2Dot(vc->normal, vB + b2Cross(wB, vcp->rB) - vA - b2Cross(wA, vcp->rA));
+ if (vRel < -b2_velocityThreshold)
+ {
+ vcp->velocityBias = -vc->restitution * vRel;
+ }
+ }
+
+ // If we have two points, then prepare the block solver.
+ if (vc->pointCount == 2 && g_blockSolve)
+ {
+ b2VelocityConstraintPoint* vcp1 = vc->points + 0;
+ b2VelocityConstraintPoint* vcp2 = vc->points + 1;
+
+ float32 rn1A = b2Cross(vcp1->rA, vc->normal);
+ float32 rn1B = b2Cross(vcp1->rB, vc->normal);
+ float32 rn2A = b2Cross(vcp2->rA, vc->normal);
+ float32 rn2B = b2Cross(vcp2->rB, vc->normal);
+
+ float32 k11 = mA + mB + iA * rn1A * rn1A + iB * rn1B * rn1B;
+ float32 k22 = mA + mB + iA * rn2A * rn2A + iB * rn2B * rn2B;
+ float32 k12 = mA + mB + iA * rn1A * rn2A + iB * rn1B * rn2B;
+
+ // Ensure a reasonable condition number.
+ const float32 k_maxConditionNumber = 1000.0f;
+ if (k11 * k11 < k_maxConditionNumber * (k11 * k22 - k12 * k12))
+ {
+ // K is safe to invert.
+ vc->K.ex.Set(k11, k12);
+ vc->K.ey.Set(k12, k22);
+ vc->normalMass = vc->K.GetInverse();
+ }
+ else
+ {
+ // The constraints are redundant, just use one.
+ // TODO_ERIN use deepest?
+ vc->pointCount = 1;
+ }
+ }
+ }
+}
+
+void b2ContactSolver::WarmStart()
+{
+ // Warm start.
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2ContactVelocityConstraint* vc = m_velocityConstraints + i;
+
+ int32 indexA = vc->indexA;
+ int32 indexB = vc->indexB;
+ float32 mA = vc->invMassA;
+ float32 iA = vc->invIA;
+ float32 mB = vc->invMassB;
+ float32 iB = vc->invIB;
+ int32 pointCount = vc->pointCount;
+
+ b2Vec2 vA = m_velocities[indexA].v;
+ float32 wA = m_velocities[indexA].w;
+ b2Vec2 vB = m_velocities[indexB].v;
+ float32 wB = m_velocities[indexB].w;
+
+ b2Vec2 normal = vc->normal;
+ b2Vec2 tangent = b2Cross(normal, 1.0f);
+
+ for (int32 j = 0; j < pointCount; ++j)
+ {
+ b2VelocityConstraintPoint* vcp = vc->points + j;
+ b2Vec2 P = vcp->normalImpulse * normal + vcp->tangentImpulse * tangent;
+ wA -= iA * b2Cross(vcp->rA, P);
+ vA -= mA * P;
+ wB += iB * b2Cross(vcp->rB, P);
+ vB += mB * P;
+ }
+
+ m_velocities[indexA].v = vA;
+ m_velocities[indexA].w = wA;
+ m_velocities[indexB].v = vB;
+ m_velocities[indexB].w = wB;
+ }
+}
+
+void b2ContactSolver::SolveVelocityConstraints()
+{
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2ContactVelocityConstraint* vc = m_velocityConstraints + i;
+
+ int32 indexA = vc->indexA;
+ int32 indexB = vc->indexB;
+ float32 mA = vc->invMassA;
+ float32 iA = vc->invIA;
+ float32 mB = vc->invMassB;
+ float32 iB = vc->invIB;
+ int32 pointCount = vc->pointCount;
+
+ b2Vec2 vA = m_velocities[indexA].v;
+ float32 wA = m_velocities[indexA].w;
+ b2Vec2 vB = m_velocities[indexB].v;
+ float32 wB = m_velocities[indexB].w;
+
+ b2Vec2 normal = vc->normal;
+ b2Vec2 tangent = b2Cross(normal, 1.0f);
+ float32 friction = vc->friction;
+
+ b2Assert(pointCount == 1 || pointCount == 2);
+
+ // Solve tangent constraints first because non-penetration is more important
+ // than friction.
+ for (int32 j = 0; j < pointCount; ++j)
+ {
+ b2VelocityConstraintPoint* vcp = vc->points + j;
+
+ // Relative velocity at contact
+ b2Vec2 dv = vB + b2Cross(wB, vcp->rB) - vA - b2Cross(wA, vcp->rA);
+
+ // Compute tangent force
+ float32 vt = b2Dot(dv, tangent) - vc->tangentSpeed;
+ float32 lambda = vcp->tangentMass * (-vt);
+
+ // b2Clamp the accumulated force
+ float32 maxFriction = friction * vcp->normalImpulse;
+ float32 newImpulse = b2Clamp(vcp->tangentImpulse + lambda, -maxFriction, maxFriction);
+ lambda = newImpulse - vcp->tangentImpulse;
+ vcp->tangentImpulse = newImpulse;
+
+ // Apply contact impulse
+ b2Vec2 P = lambda * tangent;
+
+ vA -= mA * P;
+ wA -= iA * b2Cross(vcp->rA, P);
+
+ vB += mB * P;
+ wB += iB * b2Cross(vcp->rB, P);
+ }
+
+ // Solve normal constraints
+ if (pointCount == 1 || g_blockSolve == false)
+ {
+ for (int32 j = 0; j < pointCount; ++j)
+ {
+ b2VelocityConstraintPoint* vcp = vc->points + j;
+
+ // Relative velocity at contact
+ b2Vec2 dv = vB + b2Cross(wB, vcp->rB) - vA - b2Cross(wA, vcp->rA);
+
+ // Compute normal impulse
+ float32 vn = b2Dot(dv, normal);
+ float32 lambda = -vcp->normalMass * (vn - vcp->velocityBias);
+
+ // b2Clamp the accumulated impulse
+ float32 newImpulse = b2Max(vcp->normalImpulse + lambda, 0.0f);
+ lambda = newImpulse - vcp->normalImpulse;
+ vcp->normalImpulse = newImpulse;
+
+ // Apply contact impulse
+ b2Vec2 P = lambda * normal;
+ vA -= mA * P;
+ wA -= iA * b2Cross(vcp->rA, P);
+
+ vB += mB * P;
+ wB += iB * b2Cross(vcp->rB, P);
+ }
+ }
+ else
+ {
+ // Block solver developed in collaboration with Dirk Gregorius (back in 01/07 on Box2D_Lite).
+ // Build the mini LCP for this contact patch
+ //
+ // vn = A * x + b, vn >= 0, x >= 0 and vn_i * x_i = 0 with i = 1..2
+ //
+ // A = J * W * JT and J = ( -n, -r1 x n, n, r2 x n )
+ // b = vn0 - velocityBias
+ //
+ // The system is solved using the "Total enumeration method" (s. Murty). The complementary constraint vn_i * x_i
+ // implies that we must have in any solution either vn_i = 0 or x_i = 0. So for the 2D contact problem the cases
+ // vn1 = 0 and vn2 = 0, x1 = 0 and x2 = 0, x1 = 0 and vn2 = 0, x2 = 0 and vn1 = 0 need to be tested. The first valid
+ // solution that satisfies the problem is chosen.
+ //
+ // In order to account of the accumulated impulse 'a' (because of the iterative nature of the solver which only requires
+ // that the accumulated impulse is clamped and not the incremental impulse) we change the impulse variable (x_i).
+ //
+ // Substitute:
+ //
+ // x = a + d
+ //
+ // a := old total impulse
+ // x := new total impulse
+ // d := incremental impulse
+ //
+ // For the current iteration we extend the formula for the incremental impulse
+ // to compute the new total impulse:
+ //
+ // vn = A * d + b
+ // = A * (x - a) + b
+ // = A * x + b - A * a
+ // = A * x + b'
+ // b' = b - A * a;
+
+ b2VelocityConstraintPoint* cp1 = vc->points + 0;
+ b2VelocityConstraintPoint* cp2 = vc->points + 1;
+
+ b2Vec2 a(cp1->normalImpulse, cp2->normalImpulse);
+ b2Assert(a.x >= 0.0f && a.y >= 0.0f);
+
+ // Relative velocity at contact
+ b2Vec2 dv1 = vB + b2Cross(wB, cp1->rB) - vA - b2Cross(wA, cp1->rA);
+ b2Vec2 dv2 = vB + b2Cross(wB, cp2->rB) - vA - b2Cross(wA, cp2->rA);
+
+ // Compute normal velocity
+ float32 vn1 = b2Dot(dv1, normal);
+ float32 vn2 = b2Dot(dv2, normal);
+
+ b2Vec2 b;
+ b.x = vn1 - cp1->velocityBias;
+ b.y = vn2 - cp2->velocityBias;
+
+ // Compute b'
+ b -= b2Mul(vc->K, a);
+
+ const float32 k_errorTol = 1e-3f;
+ B2_NOT_USED(k_errorTol);
+
+ for (;;)
+ {
+ //
+ // Case 1: vn = 0
+ //
+ // 0 = A * x + b'
+ //
+ // Solve for x:
+ //
+ // x = - inv(A) * b'
+ //
+ b2Vec2 x = - b2Mul(vc->normalMass, b);
+
+ if (x.x >= 0.0f && x.y >= 0.0f)
+ {
+ // Get the incremental impulse
+ b2Vec2 d = x - a;
+
+ // Apply incremental impulse
+ b2Vec2 P1 = d.x * normal;
+ b2Vec2 P2 = d.y * normal;
+ vA -= mA * (P1 + P2);
+ wA -= iA * (b2Cross(cp1->rA, P1) + b2Cross(cp2->rA, P2));
+
+ vB += mB * (P1 + P2);
+ wB += iB * (b2Cross(cp1->rB, P1) + b2Cross(cp2->rB, P2));
+
+ // Accumulate
+ cp1->normalImpulse = x.x;
+ cp2->normalImpulse = x.y;
+
+#if B2_DEBUG_SOLVER == 1
+ // Postconditions
+ dv1 = vB + b2Cross(wB, cp1->rB) - vA - b2Cross(wA, cp1->rA);
+ dv2 = vB + b2Cross(wB, cp2->rB) - vA - b2Cross(wA, cp2->rA);
+
+ // Compute normal velocity
+ vn1 = b2Dot(dv1, normal);
+ vn2 = b2Dot(dv2, normal);
+
+ b2Assert(b2Abs(vn1 - cp1->velocityBias) < k_errorTol);
+ b2Assert(b2Abs(vn2 - cp2->velocityBias) < k_errorTol);
+#endif
+ break;
+ }
+
+ //
+ // Case 2: vn1 = 0 and x2 = 0
+ //
+ // 0 = a11 * x1 + a12 * 0 + b1'
+ // vn2 = a21 * x1 + a22 * 0 + b2'
+ //
+ x.x = - cp1->normalMass * b.x;
+ x.y = 0.0f;
+ vn1 = 0.0f;
+ vn2 = vc->K.ex.y * x.x + b.y;
+ if (x.x >= 0.0f && vn2 >= 0.0f)
+ {
+ // Get the incremental impulse
+ b2Vec2 d = x - a;
+
+ // Apply incremental impulse
+ b2Vec2 P1 = d.x * normal;
+ b2Vec2 P2 = d.y * normal;
+ vA -= mA * (P1 + P2);
+ wA -= iA * (b2Cross(cp1->rA, P1) + b2Cross(cp2->rA, P2));
+
+ vB += mB * (P1 + P2);
+ wB += iB * (b2Cross(cp1->rB, P1) + b2Cross(cp2->rB, P2));
+
+ // Accumulate
+ cp1->normalImpulse = x.x;
+ cp2->normalImpulse = x.y;
+
+#if B2_DEBUG_SOLVER == 1
+ // Postconditions
+ dv1 = vB + b2Cross(wB, cp1->rB) - vA - b2Cross(wA, cp1->rA);
+
+ // Compute normal velocity
+ vn1 = b2Dot(dv1, normal);
+
+ b2Assert(b2Abs(vn1 - cp1->velocityBias) < k_errorTol);
+#endif
+ break;
+ }
+
+
+ //
+ // Case 3: vn2 = 0 and x1 = 0
+ //
+ // vn1 = a11 * 0 + a12 * x2 + b1'
+ // 0 = a21 * 0 + a22 * x2 + b2'
+ //
+ x.x = 0.0f;
+ x.y = - cp2->normalMass * b.y;
+ vn1 = vc->K.ey.x * x.y + b.x;
+ vn2 = 0.0f;
+
+ if (x.y >= 0.0f && vn1 >= 0.0f)
+ {
+ // Resubstitute for the incremental impulse
+ b2Vec2 d = x - a;
+
+ // Apply incremental impulse
+ b2Vec2 P1 = d.x * normal;
+ b2Vec2 P2 = d.y * normal;
+ vA -= mA * (P1 + P2);
+ wA -= iA * (b2Cross(cp1->rA, P1) + b2Cross(cp2->rA, P2));
+
+ vB += mB * (P1 + P2);
+ wB += iB * (b2Cross(cp1->rB, P1) + b2Cross(cp2->rB, P2));
+
+ // Accumulate
+ cp1->normalImpulse = x.x;
+ cp2->normalImpulse = x.y;
+
+#if B2_DEBUG_SOLVER == 1
+ // Postconditions
+ dv2 = vB + b2Cross(wB, cp2->rB) - vA - b2Cross(wA, cp2->rA);
+
+ // Compute normal velocity
+ vn2 = b2Dot(dv2, normal);
+
+ b2Assert(b2Abs(vn2 - cp2->velocityBias) < k_errorTol);
+#endif
+ break;
+ }
+
+ //
+ // Case 4: x1 = 0 and x2 = 0
+ //
+ // vn1 = b1
+ // vn2 = b2;
+ x.x = 0.0f;
+ x.y = 0.0f;
+ vn1 = b.x;
+ vn2 = b.y;
+
+ if (vn1 >= 0.0f && vn2 >= 0.0f )
+ {
+ // Resubstitute for the incremental impulse
+ b2Vec2 d = x - a;
+
+ // Apply incremental impulse
+ b2Vec2 P1 = d.x * normal;
+ b2Vec2 P2 = d.y * normal;
+ vA -= mA * (P1 + P2);
+ wA -= iA * (b2Cross(cp1->rA, P1) + b2Cross(cp2->rA, P2));
+
+ vB += mB * (P1 + P2);
+ wB += iB * (b2Cross(cp1->rB, P1) + b2Cross(cp2->rB, P2));
+
+ // Accumulate
+ cp1->normalImpulse = x.x;
+ cp2->normalImpulse = x.y;
+
+ break;
+ }
+
+ // No solution, give up. This is hit sometimes, but it doesn't seem to matter.
+ break;
+ }
+ }
+
+ m_velocities[indexA].v = vA;
+ m_velocities[indexA].w = wA;
+ m_velocities[indexB].v = vB;
+ m_velocities[indexB].w = wB;
+ }
+}
+
+void b2ContactSolver::StoreImpulses()
+{
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2ContactVelocityConstraint* vc = m_velocityConstraints + i;
+ b2Manifold* manifold = m_contacts[vc->contactIndex]->GetManifold();
+
+ for (int32 j = 0; j < vc->pointCount; ++j)
+ {
+ manifold->points[j].normalImpulse = vc->points[j].normalImpulse;
+ manifold->points[j].tangentImpulse = vc->points[j].tangentImpulse;
+ }
+ }
+}
+
+struct b2PositionSolverManifold
+{
+ void Initialize(b2ContactPositionConstraint* pc, const b2Transform& xfA, const b2Transform& xfB, int32 index)
+ {
+ b2Assert(pc->pointCount > 0);
+
+ switch (pc->type)
+ {
+ case b2Manifold::e_circles:
+ {
+ b2Vec2 pointA = b2Mul(xfA, pc->localPoint);
+ b2Vec2 pointB = b2Mul(xfB, pc->localPoints[0]);
+ normal = pointB - pointA;
+ normal.Normalize();
+ point = 0.5f * (pointA + pointB);
+ separation = b2Dot(pointB - pointA, normal) - pc->radiusA - pc->radiusB;
+ }
+ break;
+
+ case b2Manifold::e_faceA:
+ {
+ normal = b2Mul(xfA.q, pc->localNormal);
+ b2Vec2 planePoint = b2Mul(xfA, pc->localPoint);
+
+ b2Vec2 clipPoint = b2Mul(xfB, pc->localPoints[index]);
+ separation = b2Dot(clipPoint - planePoint, normal) - pc->radiusA - pc->radiusB;
+ point = clipPoint;
+ }
+ break;
+
+ case b2Manifold::e_faceB:
+ {
+ normal = b2Mul(xfB.q, pc->localNormal);
+ b2Vec2 planePoint = b2Mul(xfB, pc->localPoint);
+
+ b2Vec2 clipPoint = b2Mul(xfA, pc->localPoints[index]);
+ separation = b2Dot(clipPoint - planePoint, normal) - pc->radiusA - pc->radiusB;
+ point = clipPoint;
+
+ // Ensure normal points from A to B
+ normal = -normal;
+ }
+ break;
+ }
+ }
+
+ b2Vec2 normal;
+ b2Vec2 point;
+ float32 separation;
+};
+
+// Sequential solver.
+bool b2ContactSolver::SolvePositionConstraints()
+{
+ float32 minSeparation = 0.0f;
+
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2ContactPositionConstraint* pc = m_positionConstraints + i;
+
+ int32 indexA = pc->indexA;
+ int32 indexB = pc->indexB;
+ b2Vec2 localCenterA = pc->localCenterA;
+ float32 mA = pc->invMassA;
+ float32 iA = pc->invIA;
+ b2Vec2 localCenterB = pc->localCenterB;
+ float32 mB = pc->invMassB;
+ float32 iB = pc->invIB;
+ int32 pointCount = pc->pointCount;
+
+ b2Vec2 cA = m_positions[indexA].c;
+ float32 aA = m_positions[indexA].a;
+
+ b2Vec2 cB = m_positions[indexB].c;
+ float32 aB = m_positions[indexB].a;
+
+ // Solve normal constraints
+ for (int32 j = 0; j < pointCount; ++j)
+ {
+ b2Transform xfA, xfB;
+ xfA.q.Set(aA);
+ xfB.q.Set(aB);
+ xfA.p = cA - b2Mul(xfA.q, localCenterA);
+ xfB.p = cB - b2Mul(xfB.q, localCenterB);
+
+ b2PositionSolverManifold psm;
+ psm.Initialize(pc, xfA, xfB, j);
+ b2Vec2 normal = psm.normal;
+
+ b2Vec2 point = psm.point;
+ float32 separation = psm.separation;
+
+ b2Vec2 rA = point - cA;
+ b2Vec2 rB = point - cB;
+
+ // Track max constraint error.
+ minSeparation = b2Min(minSeparation, separation);
+
+ // Prevent large corrections and allow slop.
+ float32 C = b2Clamp(b2_baumgarte * (separation + b2_linearSlop), -b2_maxLinearCorrection, 0.0f);
+
+ // Compute the effective mass.
+ float32 rnA = b2Cross(rA, normal);
+ float32 rnB = b2Cross(rB, normal);
+ float32 K = mA + mB + iA * rnA * rnA + iB * rnB * rnB;
+
+ // Compute normal impulse
+ float32 impulse = K > 0.0f ? - C / K : 0.0f;
+
+ b2Vec2 P = impulse * normal;
+
+ cA -= mA * P;
+ aA -= iA * b2Cross(rA, P);
+
+ cB += mB * P;
+ aB += iB * b2Cross(rB, P);
+ }
+
+ m_positions[indexA].c = cA;
+ m_positions[indexA].a = aA;
+
+ m_positions[indexB].c = cB;
+ m_positions[indexB].a = aB;
+ }
+
+ // We can't expect minSpeparation >= -b2_linearSlop because we don't
+ // push the separation above -b2_linearSlop.
+ return minSeparation >= -3.0f * b2_linearSlop;
+}
+
+// Sequential position solver for position constraints.
+bool b2ContactSolver::SolveTOIPositionConstraints(int32 toiIndexA, int32 toiIndexB)
+{
+ float32 minSeparation = 0.0f;
+
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ b2ContactPositionConstraint* pc = m_positionConstraints + i;
+
+ int32 indexA = pc->indexA;
+ int32 indexB = pc->indexB;
+ b2Vec2 localCenterA = pc->localCenterA;
+ b2Vec2 localCenterB = pc->localCenterB;
+ int32 pointCount = pc->pointCount;
+
+ float32 mA = 0.0f;
+ float32 iA = 0.0f;
+ if (indexA == toiIndexA || indexA == toiIndexB)
+ {
+ mA = pc->invMassA;
+ iA = pc->invIA;
+ }
+
+ float32 mB = 0.0f;
+ float32 iB = 0.;
+ if (indexB == toiIndexA || indexB == toiIndexB)
+ {
+ mB = pc->invMassB;
+ iB = pc->invIB;
+ }
+
+ b2Vec2 cA = m_positions[indexA].c;
+ float32 aA = m_positions[indexA].a;
+
+ b2Vec2 cB = m_positions[indexB].c;
+ float32 aB = m_positions[indexB].a;
+
+ // Solve normal constraints
+ for (int32 j = 0; j < pointCount; ++j)
+ {
+ b2Transform xfA, xfB;
+ xfA.q.Set(aA);
+ xfB.q.Set(aB);
+ xfA.p = cA - b2Mul(xfA.q, localCenterA);
+ xfB.p = cB - b2Mul(xfB.q, localCenterB);
+
+ b2PositionSolverManifold psm;
+ psm.Initialize(pc, xfA, xfB, j);
+ b2Vec2 normal = psm.normal;
+
+ b2Vec2 point = psm.point;
+ float32 separation = psm.separation;
+
+ b2Vec2 rA = point - cA;
+ b2Vec2 rB = point - cB;
+
+ // Track max constraint error.
+ minSeparation = b2Min(minSeparation, separation);
+
+ // Prevent large corrections and allow slop.
+ float32 C = b2Clamp(b2_toiBaugarte * (separation + b2_linearSlop), -b2_maxLinearCorrection, 0.0f);
+
+ // Compute the effective mass.
+ float32 rnA = b2Cross(rA, normal);
+ float32 rnB = b2Cross(rB, normal);
+ float32 K = mA + mB + iA * rnA * rnA + iB * rnB * rnB;
+
+ // Compute normal impulse
+ float32 impulse = K > 0.0f ? - C / K : 0.0f;
+
+ b2Vec2 P = impulse * normal;
+
+ cA -= mA * P;
+ aA -= iA * b2Cross(rA, P);
+
+ cB += mB * P;
+ aB += iB * b2Cross(rB, P);
+ }
+
+ m_positions[indexA].c = cA;
+ m_positions[indexA].a = aA;
+
+ m_positions[indexB].c = cB;
+ m_positions[indexB].a = aB;
+ }
+
+ // We can't expect minSpeparation >= -b2_linearSlop because we don't
+ // push the separation above -b2_linearSlop.
+ return minSeparation >= -1.5f * b2_linearSlop;
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.h
new file mode 100644
index 0000000..ed98df5
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2ContactSolver.h
@@ -0,0 +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_CONTACT_SOLVER_H
+#define B2_CONTACT_SOLVER_H
+
+#include "Box2D/Common/b2Math.h"
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+class b2Contact;
+class b2Body;
+class b2StackAllocator;
+struct b2ContactPositionConstraint;
+
+struct b2VelocityConstraintPoint
+{
+ b2Vec2 rA;
+ b2Vec2 rB;
+ float32 normalImpulse;
+ float32 tangentImpulse;
+ float32 normalMass;
+ float32 tangentMass;
+ float32 velocityBias;
+};
+
+struct b2ContactVelocityConstraint
+{
+ b2VelocityConstraintPoint points[b2_maxManifoldPoints];
+ b2Vec2 normal;
+ b2Mat22 normalMass;
+ b2Mat22 K;
+ int32 indexA;
+ int32 indexB;
+ float32 invMassA, invMassB;
+ float32 invIA, invIB;
+ float32 friction;
+ float32 restitution;
+ float32 tangentSpeed;
+ int32 pointCount;
+ int32 contactIndex;
+};
+
+struct b2ContactSolverDef
+{
+ b2TimeStep step;
+ b2Contact** contacts;
+ int32 count;
+ b2Position* positions;
+ b2Velocity* velocities;
+ b2StackAllocator* allocator;
+};
+
+class b2ContactSolver
+{
+public:
+ b2ContactSolver(b2ContactSolverDef* def);
+ ~b2ContactSolver();
+
+ void InitializeVelocityConstraints();
+
+ void WarmStart();
+ void SolveVelocityConstraints();
+ void StoreImpulses();
+
+ bool SolvePositionConstraints();
+ bool SolveTOIPositionConstraints(int32 toiIndexA, int32 toiIndexB);
+
+ b2TimeStep m_step;
+ b2Position* m_positions;
+ b2Velocity* m_velocities;
+ b2StackAllocator* m_allocator;
+ b2ContactPositionConstraint* m_positionConstraints;
+ b2ContactVelocityConstraint* m_velocityConstraints;
+ b2Contact** m_contacts;
+ int m_count;
+};
+
+#endif
+
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.cpp
new file mode 100644
index 0000000..8d5933e
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.cpp
@@ -0,0 +1,49 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+
+#include <new>
+
+b2Contact* b2EdgeAndCircleContact::Create(b2Fixture* fixtureA, int32, b2Fixture* fixtureB, int32, b2BlockAllocator* allocator)
+{
+ void* mem = allocator->Allocate(sizeof(b2EdgeAndCircleContact));
+ return new (mem) b2EdgeAndCircleContact(fixtureA, fixtureB);
+}
+
+void b2EdgeAndCircleContact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ ((b2EdgeAndCircleContact*)contact)->~b2EdgeAndCircleContact();
+ allocator->Free(contact, sizeof(b2EdgeAndCircleContact));
+}
+
+b2EdgeAndCircleContact::b2EdgeAndCircleContact(b2Fixture* fixtureA, b2Fixture* fixtureB)
+: b2Contact(fixtureA, 0, fixtureB, 0)
+{
+ b2Assert(m_fixtureA->GetType() == b2Shape::e_edge);
+ b2Assert(m_fixtureB->GetType() == b2Shape::e_circle);
+}
+
+void b2EdgeAndCircleContact::Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB)
+{
+ b2CollideEdgeAndCircle( manifold,
+ (b2EdgeShape*)m_fixtureA->GetShape(), xfA,
+ (b2CircleShape*)m_fixtureB->GetShape(), xfB);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.h
new file mode 100644
index 0000000..e241985
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndCircleContact.h
@@ -0,0 +1,39 @@
+/*
+* 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_EDGE_AND_CIRCLE_CONTACT_H
+#define B2_EDGE_AND_CIRCLE_CONTACT_H
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+class b2BlockAllocator;
+
+class b2EdgeAndCircleContact : public b2Contact
+{
+public:
+ static b2Contact* Create( b2Fixture* fixtureA, int32 indexA,
+ b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2EdgeAndCircleContact(b2Fixture* fixtureA, b2Fixture* fixtureB);
+ ~b2EdgeAndCircleContact() {}
+
+ void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) override;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.cpp
new file mode 100644
index 0000000..6fab3f7
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.cpp
@@ -0,0 +1,49 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+
+#include <new>
+
+b2Contact* b2EdgeAndPolygonContact::Create(b2Fixture* fixtureA, int32, b2Fixture* fixtureB, int32, b2BlockAllocator* allocator)
+{
+ void* mem = allocator->Allocate(sizeof(b2EdgeAndPolygonContact));
+ return new (mem) b2EdgeAndPolygonContact(fixtureA, fixtureB);
+}
+
+void b2EdgeAndPolygonContact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ ((b2EdgeAndPolygonContact*)contact)->~b2EdgeAndPolygonContact();
+ allocator->Free(contact, sizeof(b2EdgeAndPolygonContact));
+}
+
+b2EdgeAndPolygonContact::b2EdgeAndPolygonContact(b2Fixture* fixtureA, b2Fixture* fixtureB)
+: b2Contact(fixtureA, 0, fixtureB, 0)
+{
+ b2Assert(m_fixtureA->GetType() == b2Shape::e_edge);
+ b2Assert(m_fixtureB->GetType() == b2Shape::e_polygon);
+}
+
+void b2EdgeAndPolygonContact::Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB)
+{
+ b2CollideEdgeAndPolygon( manifold,
+ (b2EdgeShape*)m_fixtureA->GetShape(), xfA,
+ (b2PolygonShape*)m_fixtureB->GetShape(), xfB);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.h
new file mode 100644
index 0000000..ad92aac
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2EdgeAndPolygonContact.h
@@ -0,0 +1,39 @@
+/*
+* 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_EDGE_AND_POLYGON_CONTACT_H
+#define B2_EDGE_AND_POLYGON_CONTACT_H
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+class b2BlockAllocator;
+
+class b2EdgeAndPolygonContact : public b2Contact
+{
+public:
+ static b2Contact* Create( b2Fixture* fixtureA, int32 indexA,
+ b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2EdgeAndPolygonContact(b2Fixture* fixtureA, b2Fixture* fixtureB);
+ ~b2EdgeAndPolygonContact() {}
+
+ void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) override;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.cpp
new file mode 100644
index 0000000..d3c3b94
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.cpp
@@ -0,0 +1,49 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+
+#include <new>
+
+b2Contact* b2PolygonAndCircleContact::Create(b2Fixture* fixtureA, int32, b2Fixture* fixtureB, int32, b2BlockAllocator* allocator)
+{
+ void* mem = allocator->Allocate(sizeof(b2PolygonAndCircleContact));
+ return new (mem) b2PolygonAndCircleContact(fixtureA, fixtureB);
+}
+
+void b2PolygonAndCircleContact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ ((b2PolygonAndCircleContact*)contact)->~b2PolygonAndCircleContact();
+ allocator->Free(contact, sizeof(b2PolygonAndCircleContact));
+}
+
+b2PolygonAndCircleContact::b2PolygonAndCircleContact(b2Fixture* fixtureA, b2Fixture* fixtureB)
+: b2Contact(fixtureA, 0, fixtureB, 0)
+{
+ b2Assert(m_fixtureA->GetType() == b2Shape::e_polygon);
+ b2Assert(m_fixtureB->GetType() == b2Shape::e_circle);
+}
+
+void b2PolygonAndCircleContact::Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB)
+{
+ b2CollidePolygonAndCircle( manifold,
+ (b2PolygonShape*)m_fixtureA->GetShape(), xfA,
+ (b2CircleShape*)m_fixtureB->GetShape(), xfB);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.h
new file mode 100644
index 0000000..fc3573c
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonAndCircleContact.h
@@ -0,0 +1,38 @@
+/*
+* 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_AND_CIRCLE_CONTACT_H
+#define B2_POLYGON_AND_CIRCLE_CONTACT_H
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+class b2BlockAllocator;
+
+class b2PolygonAndCircleContact : public b2Contact
+{
+public:
+ static b2Contact* Create(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2PolygonAndCircleContact(b2Fixture* fixtureA, b2Fixture* fixtureB);
+ ~b2PolygonAndCircleContact() {}
+
+ void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) override;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.cpp b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.cpp
new file mode 100644
index 0000000..a9a6cdc
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.cpp
@@ -0,0 +1,52 @@
+/*
+* 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 "Box2D/Dynamics/Contacts/b2PolygonContact.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Collision/b2TimeOfImpact.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2WorldCallbacks.h"
+
+#include <new>
+
+b2Contact* b2PolygonContact::Create(b2Fixture* fixtureA, int32, b2Fixture* fixtureB, int32, b2BlockAllocator* allocator)
+{
+ void* mem = allocator->Allocate(sizeof(b2PolygonContact));
+ return new (mem) b2PolygonContact(fixtureA, fixtureB);
+}
+
+void b2PolygonContact::Destroy(b2Contact* contact, b2BlockAllocator* allocator)
+{
+ ((b2PolygonContact*)contact)->~b2PolygonContact();
+ allocator->Free(contact, sizeof(b2PolygonContact));
+}
+
+b2PolygonContact::b2PolygonContact(b2Fixture* fixtureA, b2Fixture* fixtureB)
+ : b2Contact(fixtureA, 0, fixtureB, 0)
+{
+ b2Assert(m_fixtureA->GetType() == b2Shape::e_polygon);
+ b2Assert(m_fixtureB->GetType() == b2Shape::e_polygon);
+}
+
+void b2PolygonContact::Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB)
+{
+ b2CollidePolygons( manifold,
+ (b2PolygonShape*)m_fixtureA->GetShape(), xfA,
+ (b2PolygonShape*)m_fixtureB->GetShape(), xfB);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.h b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.h
new file mode 100644
index 0000000..4755b4b
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Contacts/b2PolygonContact.h
@@ -0,0 +1,39 @@
+/*
+* 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_CONTACT_H
+#define B2_POLYGON_CONTACT_H
+
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+class b2BlockAllocator;
+
+class b2PolygonContact : public b2Contact
+{
+public:
+ static b2Contact* Create( b2Fixture* fixtureA, int32 indexA,
+ b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
+ static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
+
+ b2PolygonContact(b2Fixture* fixtureA, b2Fixture* fixtureB);
+ ~b2PolygonContact() {}
+
+ void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) override;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.cpp
new file mode 100644
index 0000000..126133c
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.cpp
@@ -0,0 +1,260 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Dynamics/Joints/b2DistanceJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// 1-D constrained system
+// m (v2 - v1) = lambda
+// v2 + (beta/h) * x1 + gamma * lambda = 0, gamma has units of inverse mass.
+// x2 = x1 + h * v2
+
+// 1-D mass-damper-spring system
+// m (v2 - v1) + h * d * v2 + h * k *
+
+// C = norm(p2 - p1) - L
+// u = (p2 - p1) / norm(p2 - p1)
+// Cdot = dot(u, v2 + cross(w2, r2) - v1 - cross(w1, r1))
+// J = [-u -cross(r1, u) u cross(r2, u)]
+// K = J * invM * JT
+// = invMass1 + invI1 * cross(r1, u)^2 + invMass2 + invI2 * cross(r2, u)^2
+
+void b2DistanceJointDef::Initialize(b2Body* b1, b2Body* b2,
+ const b2Vec2& anchor1, const b2Vec2& anchor2)
+{
+ bodyA = b1;
+ bodyB = b2;
+ localAnchorA = bodyA->GetLocalPoint(anchor1);
+ localAnchorB = bodyB->GetLocalPoint(anchor2);
+ b2Vec2 d = anchor2 - anchor1;
+ length = d.Length();
+}
+
+b2DistanceJoint::b2DistanceJoint(const b2DistanceJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+ m_length = def->length;
+ m_frequencyHz = def->frequencyHz;
+ m_dampingRatio = def->dampingRatio;
+ m_impulse = 0.0f;
+ m_gamma = 0.0f;
+ m_bias = 0.0f;
+}
+
+void b2DistanceJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ m_rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ m_u = cB + m_rB - cA - m_rA;
+
+ // Handle singularity.
+ float32 length = m_u.Length();
+ if (length > b2_linearSlop)
+ {
+ m_u *= 1.0f / length;
+ }
+ else
+ {
+ m_u.Set(0.0f, 0.0f);
+ }
+
+ float32 crAu = b2Cross(m_rA, m_u);
+ float32 crBu = b2Cross(m_rB, m_u);
+ float32 invMass = m_invMassA + m_invIA * crAu * crAu + m_invMassB + m_invIB * crBu * crBu;
+
+ // Compute the effective mass matrix.
+ m_mass = invMass != 0.0f ? 1.0f / invMass : 0.0f;
+
+ if (m_frequencyHz > 0.0f)
+ {
+ float32 C = length - m_length;
+
+ // Frequency
+ float32 omega = 2.0f * b2_pi * m_frequencyHz;
+
+ // Damping coefficient
+ float32 d = 2.0f * m_mass * m_dampingRatio * omega;
+
+ // Spring stiffness
+ float32 k = m_mass * omega * omega;
+
+ // magic formulas
+ float32 h = data.step.dt;
+ m_gamma = h * (d + h * k);
+ m_gamma = m_gamma != 0.0f ? 1.0f / m_gamma : 0.0f;
+ m_bias = C * h * k * m_gamma;
+
+ invMass += m_gamma;
+ m_mass = invMass != 0.0f ? 1.0f / invMass : 0.0f;
+ }
+ else
+ {
+ m_gamma = 0.0f;
+ m_bias = 0.0f;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Scale the impulse to support a variable time step.
+ m_impulse *= data.step.dtRatio;
+
+ b2Vec2 P = m_impulse * m_u;
+ vA -= m_invMassA * P;
+ wA -= m_invIA * b2Cross(m_rA, P);
+ vB += m_invMassB * P;
+ wB += m_invIB * b2Cross(m_rB, P);
+ }
+ else
+ {
+ m_impulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2DistanceJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ // Cdot = dot(u, v + cross(w, r))
+ b2Vec2 vpA = vA + b2Cross(wA, m_rA);
+ b2Vec2 vpB = vB + b2Cross(wB, m_rB);
+ float32 Cdot = b2Dot(m_u, vpB - vpA);
+
+ float32 impulse = -m_mass * (Cdot + m_bias + m_gamma * m_impulse);
+ m_impulse += impulse;
+
+ b2Vec2 P = impulse * m_u;
+ vA -= m_invMassA * P;
+ wA -= m_invIA * b2Cross(m_rA, P);
+ vB += m_invMassB * P;
+ wB += m_invIB * b2Cross(m_rB, P);
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2DistanceJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ if (m_frequencyHz > 0.0f)
+ {
+ // There is no position correction for soft distance constraints.
+ return true;
+ }
+
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+
+ b2Rot qA(aA), qB(aB);
+
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ b2Vec2 u = cB + rB - cA - rA;
+
+ float32 length = u.Normalize();
+ float32 C = length - m_length;
+ C = b2Clamp(C, -b2_maxLinearCorrection, b2_maxLinearCorrection);
+
+ float32 impulse = -m_mass * C;
+ b2Vec2 P = impulse * u;
+
+ cA -= m_invMassA * P;
+ aA -= m_invIA * b2Cross(rA, P);
+ cB += m_invMassB * P;
+ aB += m_invIB * b2Cross(rB, P);
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+
+ return b2Abs(C) < b2_linearSlop;
+}
+
+b2Vec2 b2DistanceJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2DistanceJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2DistanceJoint::GetReactionForce(float32 inv_dt) const
+{
+ b2Vec2 F = (inv_dt * m_impulse) * m_u;
+ return F;
+}
+
+float32 b2DistanceJoint::GetReactionTorque(float32 inv_dt) const
+{
+ B2_NOT_USED(inv_dt);
+ return 0.0f;
+}
+
+void b2DistanceJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2DistanceJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.length = %.15lef;\n", m_length);
+ b2Log(" jd.frequencyHz = %.15lef;\n", m_frequencyHz);
+ b2Log(" jd.dampingRatio = %.15lef;\n", m_dampingRatio);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.h
new file mode 100644
index 0000000..ba59210
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2DistanceJoint.h
@@ -0,0 +1,169 @@
+/*
+* Copyright (c) 2006-2007 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_JOINT_H
+#define B2_DISTANCE_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Distance joint definition. This requires defining an
+/// anchor point on both bodies and the non-zero length of the
+/// distance joint. The definition uses local anchor points
+/// so that the initial configuration can violate the constraint
+/// slightly. This helps when saving and loading a game.
+/// @warning Do not use a zero or short length.
+struct b2DistanceJointDef : public b2JointDef
+{
+ b2DistanceJointDef()
+ {
+ type = e_distanceJoint;
+ localAnchorA.Set(0.0f, 0.0f);
+ localAnchorB.Set(0.0f, 0.0f);
+ length = 1.0f;
+ frequencyHz = 0.0f;
+ dampingRatio = 0.0f;
+ }
+
+ /// Initialize the bodies, anchors, and length using the world
+ /// anchors.
+ void Initialize(b2Body* bodyA, b2Body* bodyB,
+ const b2Vec2& anchorA, const b2Vec2& anchorB);
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The natural length between the anchor points.
+ float32 length;
+
+ /// The mass-spring-damper frequency in Hertz. A value of 0
+ /// disables softness.
+ float32 frequencyHz;
+
+ /// The damping ratio. 0 = no damping, 1 = critical damping.
+ float32 dampingRatio;
+};
+
+/// A distance joint constrains two points on two bodies
+/// to remain at a fixed distance from each other. You can view
+/// this as a massless, rigid rod.
+class b2DistanceJoint : public b2Joint
+{
+public:
+
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ /// Get the reaction force given the inverse time step.
+ /// Unit is N.
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+
+ /// Get the reaction torque given the inverse time step.
+ /// Unit is N*m. This is always zero for a distance joint.
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// The local anchor point relative to bodyA's origin.
+ const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
+
+ /// The local anchor point relative to bodyB's origin.
+ const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
+
+ /// Set/get the natural length.
+ /// Manipulating the length can lead to non-physical behavior when the frequency is zero.
+ void SetLength(float32 length);
+ float32 GetLength() const;
+
+ /// Set/get frequency in Hz.
+ void SetFrequency(float32 hz);
+ float32 GetFrequency() const;
+
+ /// Set/get damping ratio.
+ void SetDampingRatio(float32 ratio);
+ float32 GetDampingRatio() const;
+
+ /// Dump joint to dmLog
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+ b2DistanceJoint(const b2DistanceJointDef* data);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ float32 m_frequencyHz;
+ float32 m_dampingRatio;
+ float32 m_bias;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ float32 m_gamma;
+ float32 m_impulse;
+ float32 m_length;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_u;
+ b2Vec2 m_rA;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ float32 m_mass;
+};
+
+inline void b2DistanceJoint::SetLength(float32 length)
+{
+ m_length = length;
+}
+
+inline float32 b2DistanceJoint::GetLength() const
+{
+ return m_length;
+}
+
+inline void b2DistanceJoint::SetFrequency(float32 hz)
+{
+ m_frequencyHz = hz;
+}
+
+inline float32 b2DistanceJoint::GetFrequency() const
+{
+ return m_frequencyHz;
+}
+
+inline void b2DistanceJoint::SetDampingRatio(float32 ratio)
+{
+ m_dampingRatio = ratio;
+}
+
+inline float32 b2DistanceJoint::GetDampingRatio() const
+{
+ return m_dampingRatio;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.cpp
new file mode 100644
index 0000000..cb122eb
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.cpp
@@ -0,0 +1,251 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Dynamics/Joints/b2FrictionJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Point-to-point constraint
+// Cdot = v2 - v1
+// = v2 + cross(w2, r2) - v1 - cross(w1, r1)
+// J = [-I -r1_skew I r2_skew ]
+// Identity used:
+// w k % (rx i + ry j) = w * (-ry i + rx j)
+
+// Angle constraint
+// Cdot = w2 - w1
+// J = [0 0 -1 0 0 1]
+// K = invI1 + invI2
+
+void b2FrictionJointDef::Initialize(b2Body* bA, b2Body* bB, const b2Vec2& anchor)
+{
+ bodyA = bA;
+ bodyB = bB;
+ localAnchorA = bodyA->GetLocalPoint(anchor);
+ localAnchorB = bodyB->GetLocalPoint(anchor);
+}
+
+b2FrictionJoint::b2FrictionJoint(const b2FrictionJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+
+ m_linearImpulse.SetZero();
+ m_angularImpulse = 0.0f;
+
+ m_maxForce = def->maxForce;
+ m_maxTorque = def->maxTorque;
+}
+
+void b2FrictionJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ // Compute the effective mass matrix.
+ m_rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ // J = [-I -r1_skew I r2_skew]
+ // [ 0 -1 0 1]
+ // r_skew = [-ry; rx]
+
+ // Matlab
+ // K = [ mA+r1y^2*iA+mB+r2y^2*iB, -r1y*iA*r1x-r2y*iB*r2x, -r1y*iA-r2y*iB]
+ // [ -r1y*iA*r1x-r2y*iB*r2x, mA+r1x^2*iA+mB+r2x^2*iB, r1x*iA+r2x*iB]
+ // [ -r1y*iA-r2y*iB, r1x*iA+r2x*iB, iA+iB]
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ b2Mat22 K;
+ K.ex.x = mA + mB + iA * m_rA.y * m_rA.y + iB * m_rB.y * m_rB.y;
+ K.ex.y = -iA * m_rA.x * m_rA.y - iB * m_rB.x * m_rB.y;
+ K.ey.x = K.ex.y;
+ K.ey.y = mA + mB + iA * m_rA.x * m_rA.x + iB * m_rB.x * m_rB.x;
+
+ m_linearMass = K.GetInverse();
+
+ m_angularMass = iA + iB;
+ if (m_angularMass > 0.0f)
+ {
+ m_angularMass = 1.0f / m_angularMass;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Scale impulses to support a variable time step.
+ m_linearImpulse *= data.step.dtRatio;
+ m_angularImpulse *= data.step.dtRatio;
+
+ b2Vec2 P(m_linearImpulse.x, m_linearImpulse.y);
+ vA -= mA * P;
+ wA -= iA * (b2Cross(m_rA, P) + m_angularImpulse);
+ vB += mB * P;
+ wB += iB * (b2Cross(m_rB, P) + m_angularImpulse);
+ }
+ else
+ {
+ m_linearImpulse.SetZero();
+ m_angularImpulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2FrictionJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ float32 h = data.step.dt;
+
+ // Solve angular friction
+ {
+ float32 Cdot = wB - wA;
+ float32 impulse = -m_angularMass * Cdot;
+
+ float32 oldImpulse = m_angularImpulse;
+ float32 maxImpulse = h * m_maxTorque;
+ m_angularImpulse = b2Clamp(m_angularImpulse + impulse, -maxImpulse, maxImpulse);
+ impulse = m_angularImpulse - oldImpulse;
+
+ wA -= iA * impulse;
+ wB += iB * impulse;
+ }
+
+ // Solve linear friction
+ {
+ b2Vec2 Cdot = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
+
+ b2Vec2 impulse = -b2Mul(m_linearMass, Cdot);
+ b2Vec2 oldImpulse = m_linearImpulse;
+ m_linearImpulse += impulse;
+
+ float32 maxImpulse = h * m_maxForce;
+
+ if (m_linearImpulse.LengthSquared() > maxImpulse * maxImpulse)
+ {
+ m_linearImpulse.Normalize();
+ m_linearImpulse *= maxImpulse;
+ }
+
+ impulse = m_linearImpulse - oldImpulse;
+
+ vA -= mA * impulse;
+ wA -= iA * b2Cross(m_rA, impulse);
+
+ vB += mB * impulse;
+ wB += iB * b2Cross(m_rB, impulse);
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2FrictionJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ B2_NOT_USED(data);
+
+ return true;
+}
+
+b2Vec2 b2FrictionJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2FrictionJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2FrictionJoint::GetReactionForce(float32 inv_dt) const
+{
+ return inv_dt * m_linearImpulse;
+}
+
+float32 b2FrictionJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * m_angularImpulse;
+}
+
+void b2FrictionJoint::SetMaxForce(float32 force)
+{
+ b2Assert(b2IsValid(force) && force >= 0.0f);
+ m_maxForce = force;
+}
+
+float32 b2FrictionJoint::GetMaxForce() const
+{
+ return m_maxForce;
+}
+
+void b2FrictionJoint::SetMaxTorque(float32 torque)
+{
+ b2Assert(b2IsValid(torque) && torque >= 0.0f);
+ m_maxTorque = torque;
+}
+
+float32 b2FrictionJoint::GetMaxTorque() const
+{
+ return m_maxTorque;
+}
+
+void b2FrictionJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2FrictionJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.maxForce = %.15lef;\n", m_maxForce);
+ b2Log(" jd.maxTorque = %.15lef;\n", m_maxTorque);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.h
new file mode 100644
index 0000000..d964f84
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2FrictionJoint.h
@@ -0,0 +1,119 @@
+/*
+* Copyright (c) 2006-2007 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_FRICTION_JOINT_H
+#define B2_FRICTION_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Friction joint definition.
+struct b2FrictionJointDef : public b2JointDef
+{
+ b2FrictionJointDef()
+ {
+ type = e_frictionJoint;
+ localAnchorA.SetZero();
+ localAnchorB.SetZero();
+ maxForce = 0.0f;
+ maxTorque = 0.0f;
+ }
+
+ /// Initialize the bodies, anchors, axis, and reference angle using the world
+ /// anchor and world axis.
+ void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor);
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The maximum friction force in N.
+ float32 maxForce;
+
+ /// The maximum friction torque in N-m.
+ float32 maxTorque;
+};
+
+/// Friction joint. This is used for top-down friction.
+/// It provides 2D translational friction and angular friction.
+class b2FrictionJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// The local anchor point relative to bodyA's origin.
+ const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
+
+ /// The local anchor point relative to bodyB's origin.
+ const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
+
+ /// Set the maximum friction force in N.
+ void SetMaxForce(float32 force);
+
+ /// Get the maximum friction force in N.
+ float32 GetMaxForce() const;
+
+ /// Set the maximum friction torque in N*m.
+ void SetMaxTorque(float32 torque);
+
+ /// Get the maximum friction torque in N*m.
+ float32 GetMaxTorque() const;
+
+ /// Dump joint to dmLog
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+
+ b2FrictionJoint(const b2FrictionJointDef* def);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+
+ // Solver shared
+ b2Vec2 m_linearImpulse;
+ float32 m_angularImpulse;
+ float32 m_maxForce;
+ float32 m_maxTorque;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_rA;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ b2Mat22 m_linearMass;
+ float32 m_angularMass;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.cpp
new file mode 100644
index 0000000..1ce575b
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.cpp
@@ -0,0 +1,419 @@
+/*
+* Copyright (c) 2007-2011 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 "Box2D/Dynamics/Joints/b2GearJoint.h"
+#include "Box2D/Dynamics/Joints/b2RevoluteJoint.h"
+#include "Box2D/Dynamics/Joints/b2PrismaticJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Gear Joint:
+// C0 = (coordinate1 + ratio * coordinate2)_initial
+// C = (coordinate1 + ratio * coordinate2) - C0 = 0
+// J = [J1 ratio * J2]
+// K = J * invM * JT
+// = J1 * invM1 * J1T + ratio * ratio * J2 * invM2 * J2T
+//
+// Revolute:
+// coordinate = rotation
+// Cdot = angularVelocity
+// J = [0 0 1]
+// K = J * invM * JT = invI
+//
+// Prismatic:
+// coordinate = dot(p - pg, ug)
+// Cdot = dot(v + cross(w, r), ug)
+// J = [ug cross(r, ug)]
+// K = J * invM * JT = invMass + invI * cross(r, ug)^2
+
+b2GearJoint::b2GearJoint(const b2GearJointDef* def)
+: b2Joint(def)
+{
+ m_joint1 = def->joint1;
+ m_joint2 = def->joint2;
+
+ m_typeA = m_joint1->GetType();
+ m_typeB = m_joint2->GetType();
+
+ b2Assert(m_typeA == e_revoluteJoint || m_typeA == e_prismaticJoint);
+ b2Assert(m_typeB == e_revoluteJoint || m_typeB == e_prismaticJoint);
+
+ float32 coordinateA, coordinateB;
+
+ // TODO_ERIN there might be some problem with the joint edges in b2Joint.
+
+ m_bodyC = m_joint1->GetBodyA();
+ m_bodyA = m_joint1->GetBodyB();
+
+ // Get geometry of joint1
+ b2Transform xfA = m_bodyA->m_xf;
+ float32 aA = m_bodyA->m_sweep.a;
+ b2Transform xfC = m_bodyC->m_xf;
+ float32 aC = m_bodyC->m_sweep.a;
+
+ if (m_typeA == e_revoluteJoint)
+ {
+ b2RevoluteJoint* revolute = (b2RevoluteJoint*)def->joint1;
+ m_localAnchorC = revolute->m_localAnchorA;
+ m_localAnchorA = revolute->m_localAnchorB;
+ m_referenceAngleA = revolute->m_referenceAngle;
+ m_localAxisC.SetZero();
+
+ coordinateA = aA - aC - m_referenceAngleA;
+ }
+ else
+ {
+ b2PrismaticJoint* prismatic = (b2PrismaticJoint*)def->joint1;
+ m_localAnchorC = prismatic->m_localAnchorA;
+ m_localAnchorA = prismatic->m_localAnchorB;
+ m_referenceAngleA = prismatic->m_referenceAngle;
+ m_localAxisC = prismatic->m_localXAxisA;
+
+ b2Vec2 pC = m_localAnchorC;
+ b2Vec2 pA = b2MulT(xfC.q, b2Mul(xfA.q, m_localAnchorA) + (xfA.p - xfC.p));
+ coordinateA = b2Dot(pA - pC, m_localAxisC);
+ }
+
+ m_bodyD = m_joint2->GetBodyA();
+ m_bodyB = m_joint2->GetBodyB();
+
+ // Get geometry of joint2
+ b2Transform xfB = m_bodyB->m_xf;
+ float32 aB = m_bodyB->m_sweep.a;
+ b2Transform xfD = m_bodyD->m_xf;
+ float32 aD = m_bodyD->m_sweep.a;
+
+ if (m_typeB == e_revoluteJoint)
+ {
+ b2RevoluteJoint* revolute = (b2RevoluteJoint*)def->joint2;
+ m_localAnchorD = revolute->m_localAnchorA;
+ m_localAnchorB = revolute->m_localAnchorB;
+ m_referenceAngleB = revolute->m_referenceAngle;
+ m_localAxisD.SetZero();
+
+ coordinateB = aB - aD - m_referenceAngleB;
+ }
+ else
+ {
+ b2PrismaticJoint* prismatic = (b2PrismaticJoint*)def->joint2;
+ m_localAnchorD = prismatic->m_localAnchorA;
+ m_localAnchorB = prismatic->m_localAnchorB;
+ m_referenceAngleB = prismatic->m_referenceAngle;
+ m_localAxisD = prismatic->m_localXAxisA;
+
+ b2Vec2 pD = m_localAnchorD;
+ b2Vec2 pB = b2MulT(xfD.q, b2Mul(xfB.q, m_localAnchorB) + (xfB.p - xfD.p));
+ coordinateB = b2Dot(pB - pD, m_localAxisD);
+ }
+
+ m_ratio = def->ratio;
+
+ m_constant = coordinateA + m_ratio * coordinateB;
+
+ m_impulse = 0.0f;
+}
+
+void b2GearJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_indexC = m_bodyC->m_islandIndex;
+ m_indexD = m_bodyD->m_islandIndex;
+ m_lcA = m_bodyA->m_sweep.localCenter;
+ m_lcB = m_bodyB->m_sweep.localCenter;
+ m_lcC = m_bodyC->m_sweep.localCenter;
+ m_lcD = m_bodyD->m_sweep.localCenter;
+ m_mA = m_bodyA->m_invMass;
+ m_mB = m_bodyB->m_invMass;
+ m_mC = m_bodyC->m_invMass;
+ m_mD = m_bodyD->m_invMass;
+ m_iA = m_bodyA->m_invI;
+ m_iB = m_bodyB->m_invI;
+ m_iC = m_bodyC->m_invI;
+ m_iD = m_bodyD->m_invI;
+
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ float32 aC = data.positions[m_indexC].a;
+ b2Vec2 vC = data.velocities[m_indexC].v;
+ float32 wC = data.velocities[m_indexC].w;
+
+ float32 aD = data.positions[m_indexD].a;
+ b2Vec2 vD = data.velocities[m_indexD].v;
+ float32 wD = data.velocities[m_indexD].w;
+
+ b2Rot qA(aA), qB(aB), qC(aC), qD(aD);
+
+ m_mass = 0.0f;
+
+ if (m_typeA == e_revoluteJoint)
+ {
+ m_JvAC.SetZero();
+ m_JwA = 1.0f;
+ m_JwC = 1.0f;
+ m_mass += m_iA + m_iC;
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qC, m_localAxisC);
+ b2Vec2 rC = b2Mul(qC, m_localAnchorC - m_lcC);
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_lcA);
+ m_JvAC = u;
+ m_JwC = b2Cross(rC, u);
+ m_JwA = b2Cross(rA, u);
+ m_mass += m_mC + m_mA + m_iC * m_JwC * m_JwC + m_iA * m_JwA * m_JwA;
+ }
+
+ if (m_typeB == e_revoluteJoint)
+ {
+ m_JvBD.SetZero();
+ m_JwB = m_ratio;
+ m_JwD = m_ratio;
+ m_mass += m_ratio * m_ratio * (m_iB + m_iD);
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qD, m_localAxisD);
+ b2Vec2 rD = b2Mul(qD, m_localAnchorD - m_lcD);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_lcB);
+ m_JvBD = m_ratio * u;
+ m_JwD = m_ratio * b2Cross(rD, u);
+ m_JwB = m_ratio * b2Cross(rB, u);
+ m_mass += m_ratio * m_ratio * (m_mD + m_mB) + m_iD * m_JwD * m_JwD + m_iB * m_JwB * m_JwB;
+ }
+
+ // Compute effective mass.
+ m_mass = m_mass > 0.0f ? 1.0f / m_mass : 0.0f;
+
+ if (data.step.warmStarting)
+ {
+ vA += (m_mA * m_impulse) * m_JvAC;
+ wA += m_iA * m_impulse * m_JwA;
+ vB += (m_mB * m_impulse) * m_JvBD;
+ wB += m_iB * m_impulse * m_JwB;
+ vC -= (m_mC * m_impulse) * m_JvAC;
+ wC -= m_iC * m_impulse * m_JwC;
+ vD -= (m_mD * m_impulse) * m_JvBD;
+ wD -= m_iD * m_impulse * m_JwD;
+ }
+ else
+ {
+ m_impulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+ data.velocities[m_indexC].v = vC;
+ data.velocities[m_indexC].w = wC;
+ data.velocities[m_indexD].v = vD;
+ data.velocities[m_indexD].w = wD;
+}
+
+void b2GearJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+ b2Vec2 vC = data.velocities[m_indexC].v;
+ float32 wC = data.velocities[m_indexC].w;
+ b2Vec2 vD = data.velocities[m_indexD].v;
+ float32 wD = data.velocities[m_indexD].w;
+
+ float32 Cdot = b2Dot(m_JvAC, vA - vC) + b2Dot(m_JvBD, vB - vD);
+ Cdot += (m_JwA * wA - m_JwC * wC) + (m_JwB * wB - m_JwD * wD);
+
+ float32 impulse = -m_mass * Cdot;
+ m_impulse += impulse;
+
+ vA += (m_mA * impulse) * m_JvAC;
+ wA += m_iA * impulse * m_JwA;
+ vB += (m_mB * impulse) * m_JvBD;
+ wB += m_iB * impulse * m_JwB;
+ vC -= (m_mC * impulse) * m_JvAC;
+ wC -= m_iC * impulse * m_JwC;
+ vD -= (m_mD * impulse) * m_JvBD;
+ wD -= m_iD * impulse * m_JwD;
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+ data.velocities[m_indexC].v = vC;
+ data.velocities[m_indexC].w = wC;
+ data.velocities[m_indexD].v = vD;
+ data.velocities[m_indexD].w = wD;
+}
+
+bool b2GearJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 cC = data.positions[m_indexC].c;
+ float32 aC = data.positions[m_indexC].a;
+ b2Vec2 cD = data.positions[m_indexD].c;
+ float32 aD = data.positions[m_indexD].a;
+
+ b2Rot qA(aA), qB(aB), qC(aC), qD(aD);
+
+ float32 linearError = 0.0f;
+
+ float32 coordinateA, coordinateB;
+
+ b2Vec2 JvAC, JvBD;
+ float32 JwA, JwB, JwC, JwD;
+ float32 mass = 0.0f;
+
+ if (m_typeA == e_revoluteJoint)
+ {
+ JvAC.SetZero();
+ JwA = 1.0f;
+ JwC = 1.0f;
+ mass += m_iA + m_iC;
+
+ coordinateA = aA - aC - m_referenceAngleA;
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qC, m_localAxisC);
+ b2Vec2 rC = b2Mul(qC, m_localAnchorC - m_lcC);
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_lcA);
+ JvAC = u;
+ JwC = b2Cross(rC, u);
+ JwA = b2Cross(rA, u);
+ mass += m_mC + m_mA + m_iC * JwC * JwC + m_iA * JwA * JwA;
+
+ b2Vec2 pC = m_localAnchorC - m_lcC;
+ b2Vec2 pA = b2MulT(qC, rA + (cA - cC));
+ coordinateA = b2Dot(pA - pC, m_localAxisC);
+ }
+
+ if (m_typeB == e_revoluteJoint)
+ {
+ JvBD.SetZero();
+ JwB = m_ratio;
+ JwD = m_ratio;
+ mass += m_ratio * m_ratio * (m_iB + m_iD);
+
+ coordinateB = aB - aD - m_referenceAngleB;
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qD, m_localAxisD);
+ b2Vec2 rD = b2Mul(qD, m_localAnchorD - m_lcD);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_lcB);
+ JvBD = m_ratio * u;
+ JwD = m_ratio * b2Cross(rD, u);
+ JwB = m_ratio * b2Cross(rB, u);
+ mass += m_ratio * m_ratio * (m_mD + m_mB) + m_iD * JwD * JwD + m_iB * JwB * JwB;
+
+ b2Vec2 pD = m_localAnchorD - m_lcD;
+ b2Vec2 pB = b2MulT(qD, rB + (cB - cD));
+ coordinateB = b2Dot(pB - pD, m_localAxisD);
+ }
+
+ float32 C = (coordinateA + m_ratio * coordinateB) - m_constant;
+
+ float32 impulse = 0.0f;
+ if (mass > 0.0f)
+ {
+ impulse = -C / mass;
+ }
+
+ cA += m_mA * impulse * JvAC;
+ aA += m_iA * impulse * JwA;
+ cB += m_mB * impulse * JvBD;
+ aB += m_iB * impulse * JwB;
+ cC -= m_mC * impulse * JvAC;
+ aC -= m_iC * impulse * JwC;
+ cD -= m_mD * impulse * JvBD;
+ aD -= m_iD * impulse * JwD;
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+ data.positions[m_indexC].c = cC;
+ data.positions[m_indexC].a = aC;
+ data.positions[m_indexD].c = cD;
+ data.positions[m_indexD].a = aD;
+
+ // TODO_ERIN not implemented
+ return linearError < b2_linearSlop;
+}
+
+b2Vec2 b2GearJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2GearJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2GearJoint::GetReactionForce(float32 inv_dt) const
+{
+ b2Vec2 P = m_impulse * m_JvAC;
+ return inv_dt * P;
+}
+
+float32 b2GearJoint::GetReactionTorque(float32 inv_dt) const
+{
+ float32 L = m_impulse * m_JwA;
+ return inv_dt * L;
+}
+
+void b2GearJoint::SetRatio(float32 ratio)
+{
+ b2Assert(b2IsValid(ratio));
+ m_ratio = ratio;
+}
+
+float32 b2GearJoint::GetRatio() const
+{
+ return m_ratio;
+}
+
+void b2GearJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ int32 index1 = m_joint1->m_index;
+ int32 index2 = m_joint2->m_index;
+
+ b2Log(" b2GearJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.joint1 = joints[%d];\n", index1);
+ b2Log(" jd.joint2 = joints[%d];\n", index2);
+ b2Log(" jd.ratio = %.15lef;\n", m_ratio);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.h
new file mode 100644
index 0000000..53f7e58
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.h
@@ -0,0 +1,125 @@
+/*
+* Copyright (c) 2006-2011 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_GEAR_JOINT_H
+#define B2_GEAR_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Gear joint definition. This definition requires two existing
+/// revolute or prismatic joints (any combination will work).
+struct b2GearJointDef : public b2JointDef
+{
+ b2GearJointDef()
+ {
+ type = e_gearJoint;
+ joint1 = nullptr;
+ joint2 = nullptr;
+ ratio = 1.0f;
+ }
+
+ /// The first revolute/prismatic joint attached to the gear joint.
+ b2Joint* joint1;
+
+ /// The second revolute/prismatic joint attached to the gear joint.
+ b2Joint* joint2;
+
+ /// The gear ratio.
+ /// @see b2GearJoint for explanation.
+ float32 ratio;
+};
+
+/// A gear joint is used to connect two joints together. Either joint
+/// can be a revolute or prismatic joint. You specify a gear ratio
+/// to bind the motions together:
+/// coordinate1 + ratio * coordinate2 = constant
+/// The ratio can be negative or positive. If one joint is a revolute joint
+/// and the other joint is a prismatic joint, then the ratio will have units
+/// of length or units of 1/length.
+/// @warning You have to manually destroy the gear joint if joint1 or joint2
+/// is destroyed.
+class b2GearJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// Get the first joint.
+ b2Joint* GetJoint1() { return m_joint1; }
+
+ /// Get the second joint.
+ b2Joint* GetJoint2() { return m_joint2; }
+
+ /// Set/Get the gear ratio.
+ void SetRatio(float32 ratio);
+ float32 GetRatio() const;
+
+ /// Dump joint to dmLog
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+ b2GearJoint(const b2GearJointDef* data);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ b2Joint* m_joint1;
+ b2Joint* m_joint2;
+
+ b2JointType m_typeA;
+ b2JointType m_typeB;
+
+ // Body A is connected to body C
+ // Body B is connected to body D
+ b2Body* m_bodyC;
+ b2Body* m_bodyD;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ b2Vec2 m_localAnchorC;
+ b2Vec2 m_localAnchorD;
+
+ b2Vec2 m_localAxisC;
+ b2Vec2 m_localAxisD;
+
+ float32 m_referenceAngleA;
+ float32 m_referenceAngleB;
+
+ float32 m_constant;
+ float32 m_ratio;
+
+ float32 m_impulse;
+
+ // Solver temp
+ int32 m_indexA, m_indexB, m_indexC, m_indexD;
+ b2Vec2 m_lcA, m_lcB, m_lcC, m_lcD;
+ float32 m_mA, m_mB, m_mC, m_mD;
+ float32 m_iA, m_iB, m_iC, m_iD;
+ b2Vec2 m_JvAC, m_JvBD;
+ float32 m_JwA, m_JwB, m_JwC, m_JwD;
+ float32 m_mass;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2Joint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2Joint.cpp
new file mode 100644
index 0000000..8103b01
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2Joint.cpp
@@ -0,0 +1,211 @@
+/*
+* Copyright (c) 2006-2007 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 "Box2D/Dynamics/Joints/b2Joint.h"
+#include "Box2D/Dynamics/Joints/b2DistanceJoint.h"
+#include "Box2D/Dynamics/Joints/b2WheelJoint.h"
+#include "Box2D/Dynamics/Joints/b2MouseJoint.h"
+#include "Box2D/Dynamics/Joints/b2RevoluteJoint.h"
+#include "Box2D/Dynamics/Joints/b2PrismaticJoint.h"
+#include "Box2D/Dynamics/Joints/b2PulleyJoint.h"
+#include "Box2D/Dynamics/Joints/b2GearJoint.h"
+#include "Box2D/Dynamics/Joints/b2WeldJoint.h"
+#include "Box2D/Dynamics/Joints/b2FrictionJoint.h"
+#include "Box2D/Dynamics/Joints/b2RopeJoint.h"
+#include "Box2D/Dynamics/Joints/b2MotorJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2World.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+
+#include <new>
+
+b2Joint* b2Joint::Create(const b2JointDef* def, b2BlockAllocator* allocator)
+{
+ b2Joint* joint = nullptr;
+
+ switch (def->type)
+ {
+ case e_distanceJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2DistanceJoint));
+ joint = new (mem) b2DistanceJoint(static_cast<const b2DistanceJointDef*>(def));
+ }
+ break;
+
+ case e_mouseJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2MouseJoint));
+ joint = new (mem) b2MouseJoint(static_cast<const b2MouseJointDef*>(def));
+ }
+ break;
+
+ case e_prismaticJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2PrismaticJoint));
+ joint = new (mem) b2PrismaticJoint(static_cast<const b2PrismaticJointDef*>(def));
+ }
+ break;
+
+ case e_revoluteJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2RevoluteJoint));
+ joint = new (mem) b2RevoluteJoint(static_cast<const b2RevoluteJointDef*>(def));
+ }
+ break;
+
+ case e_pulleyJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2PulleyJoint));
+ joint = new (mem) b2PulleyJoint(static_cast<const b2PulleyJointDef*>(def));
+ }
+ break;
+
+ case e_gearJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2GearJoint));
+ joint = new (mem) b2GearJoint(static_cast<const b2GearJointDef*>(def));
+ }
+ break;
+
+ case e_wheelJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2WheelJoint));
+ joint = new (mem) b2WheelJoint(static_cast<const b2WheelJointDef*>(def));
+ }
+ break;
+
+ case e_weldJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2WeldJoint));
+ joint = new (mem) b2WeldJoint(static_cast<const b2WeldJointDef*>(def));
+ }
+ break;
+
+ case e_frictionJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2FrictionJoint));
+ joint = new (mem) b2FrictionJoint(static_cast<const b2FrictionJointDef*>(def));
+ }
+ break;
+
+ case e_ropeJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2RopeJoint));
+ joint = new (mem) b2RopeJoint(static_cast<const b2RopeJointDef*>(def));
+ }
+ break;
+
+ case e_motorJoint:
+ {
+ void* mem = allocator->Allocate(sizeof(b2MotorJoint));
+ joint = new (mem) b2MotorJoint(static_cast<const b2MotorJointDef*>(def));
+ }
+ break;
+
+ default:
+ b2Assert(false);
+ break;
+ }
+
+ return joint;
+}
+
+void b2Joint::Destroy(b2Joint* joint, b2BlockAllocator* allocator)
+{
+ joint->~b2Joint();
+ switch (joint->m_type)
+ {
+ case e_distanceJoint:
+ allocator->Free(joint, sizeof(b2DistanceJoint));
+ break;
+
+ case e_mouseJoint:
+ allocator->Free(joint, sizeof(b2MouseJoint));
+ break;
+
+ case e_prismaticJoint:
+ allocator->Free(joint, sizeof(b2PrismaticJoint));
+ break;
+
+ case e_revoluteJoint:
+ allocator->Free(joint, sizeof(b2RevoluteJoint));
+ break;
+
+ case e_pulleyJoint:
+ allocator->Free(joint, sizeof(b2PulleyJoint));
+ break;
+
+ case e_gearJoint:
+ allocator->Free(joint, sizeof(b2GearJoint));
+ break;
+
+ case e_wheelJoint:
+ allocator->Free(joint, sizeof(b2WheelJoint));
+ break;
+
+ case e_weldJoint:
+ allocator->Free(joint, sizeof(b2WeldJoint));
+ break;
+
+ case e_frictionJoint:
+ allocator->Free(joint, sizeof(b2FrictionJoint));
+ break;
+
+ case e_ropeJoint:
+ allocator->Free(joint, sizeof(b2RopeJoint));
+ break;
+
+ case e_motorJoint:
+ allocator->Free(joint, sizeof(b2MotorJoint));
+ break;
+
+ default:
+ b2Assert(false);
+ break;
+ }
+}
+
+b2Joint::b2Joint(const b2JointDef* def)
+{
+ b2Assert(def->bodyA != def->bodyB);
+
+ m_type = def->type;
+ m_prev = nullptr;
+ m_next = nullptr;
+ m_bodyA = def->bodyA;
+ m_bodyB = def->bodyB;
+ m_index = 0;
+ m_collideConnected = def->collideConnected;
+ m_islandFlag = false;
+ m_userData = def->userData;
+
+ m_edgeA.joint = nullptr;
+ m_edgeA.other = nullptr;
+ m_edgeA.prev = nullptr;
+ m_edgeA.next = nullptr;
+
+ m_edgeB.joint = nullptr;
+ m_edgeB.other = nullptr;
+ m_edgeB.prev = nullptr;
+ m_edgeB.next = nullptr;
+}
+
+bool b2Joint::IsActive() const
+{
+ return m_bodyA->IsActive() && m_bodyB->IsActive();
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2Joint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2Joint.h
new file mode 100644
index 0000000..2ab5616
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2Joint.h
@@ -0,0 +1,226 @@
+/*
+* Copyright (c) 2006-2007 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_JOINT_H
+#define B2_JOINT_H
+
+#include "Box2D/Common/b2Math.h"
+
+class b2Body;
+class b2Joint;
+struct b2SolverData;
+class b2BlockAllocator;
+
+enum b2JointType
+{
+ e_unknownJoint,
+ e_revoluteJoint,
+ e_prismaticJoint,
+ e_distanceJoint,
+ e_pulleyJoint,
+ e_mouseJoint,
+ e_gearJoint,
+ e_wheelJoint,
+ e_weldJoint,
+ e_frictionJoint,
+ e_ropeJoint,
+ e_motorJoint
+};
+
+enum b2LimitState
+{
+ e_inactiveLimit,
+ e_atLowerLimit,
+ e_atUpperLimit,
+ e_equalLimits
+};
+
+struct b2Jacobian
+{
+ b2Vec2 linear;
+ float32 angularA;
+ float32 angularB;
+};
+
+/// A joint edge is used to connect bodies and joints together
+/// in a joint graph where each body is a node and each joint
+/// is an edge. A joint edge belongs to a doubly linked list
+/// maintained in each attached body. Each joint has two joint
+/// nodes, one for each attached body.
+struct b2JointEdge
+{
+ b2Body* other; ///< provides quick access to the other body attached.
+ b2Joint* joint; ///< the joint
+ b2JointEdge* prev; ///< the previous joint edge in the body's joint list
+ b2JointEdge* next; ///< the next joint edge in the body's joint list
+};
+
+/// Joint definitions are used to construct joints.
+struct b2JointDef
+{
+ b2JointDef()
+ {
+ type = e_unknownJoint;
+ userData = nullptr;
+ bodyA = nullptr;
+ bodyB = nullptr;
+ collideConnected = false;
+ }
+
+ /// The joint type is set automatically for concrete joint types.
+ b2JointType type;
+
+ /// Use this to attach application specific data to your joints.
+ void* userData;
+
+ /// The first attached body.
+ b2Body* bodyA;
+
+ /// The second attached body.
+ b2Body* bodyB;
+
+ /// Set this flag to true if the attached bodies should collide.
+ bool collideConnected;
+};
+
+/// The base joint class. Joints are used to constraint two bodies together in
+/// various fashions. Some joints also feature limits and motors.
+class b2Joint
+{
+public:
+
+ /// Get the type of the concrete joint.
+ b2JointType GetType() const;
+
+ /// Get the first body attached to this joint.
+ b2Body* GetBodyA();
+
+ /// Get the second body attached to this joint.
+ b2Body* GetBodyB();
+
+ /// Get the anchor point on bodyA in world coordinates.
+ virtual b2Vec2 GetAnchorA() const = 0;
+
+ /// Get the anchor point on bodyB in world coordinates.
+ virtual b2Vec2 GetAnchorB() const = 0;
+
+ /// Get the reaction force on bodyB at the joint anchor in Newtons.
+ virtual b2Vec2 GetReactionForce(float32 inv_dt) const = 0;
+
+ /// Get the reaction torque on bodyB in N*m.
+ virtual float32 GetReactionTorque(float32 inv_dt) const = 0;
+
+ /// Get the next joint the world joint list.
+ b2Joint* GetNext();
+ const b2Joint* GetNext() const;
+
+ /// Get the user data pointer.
+ void* GetUserData() const;
+
+ /// Set the user data pointer.
+ void SetUserData(void* data);
+
+ /// Short-cut function to determine if either body is inactive.
+ bool IsActive() const;
+
+ /// Get collide connected.
+ /// Note: modifying the collide connect flag won't work correctly because
+ /// the flag is only checked when fixture AABBs begin to overlap.
+ bool GetCollideConnected() const;
+
+ /// Dump this joint to the log file.
+ virtual void Dump() { b2Log("// Dump is not supported for this joint type.\n"); }
+
+ /// Shift the origin for any points stored in world coordinates.
+ virtual void ShiftOrigin(const b2Vec2& newOrigin) { B2_NOT_USED(newOrigin); }
+
+protected:
+ friend class b2World;
+ friend class b2Body;
+ friend class b2Island;
+ friend class b2GearJoint;
+
+ static b2Joint* Create(const b2JointDef* def, b2BlockAllocator* allocator);
+ static void Destroy(b2Joint* joint, b2BlockAllocator* allocator);
+
+ b2Joint(const b2JointDef* def);
+ virtual ~b2Joint() {}
+
+ virtual void InitVelocityConstraints(const b2SolverData& data) = 0;
+ virtual void SolveVelocityConstraints(const b2SolverData& data) = 0;
+
+ // This returns true if the position errors are within tolerance.
+ virtual bool SolvePositionConstraints(const b2SolverData& data) = 0;
+
+ b2JointType m_type;
+ b2Joint* m_prev;
+ b2Joint* m_next;
+ b2JointEdge m_edgeA;
+ b2JointEdge m_edgeB;
+ b2Body* m_bodyA;
+ b2Body* m_bodyB;
+
+ int32 m_index;
+
+ bool m_islandFlag;
+ bool m_collideConnected;
+
+ void* m_userData;
+};
+
+inline b2JointType b2Joint::GetType() const
+{
+ return m_type;
+}
+
+inline b2Body* b2Joint::GetBodyA()
+{
+ return m_bodyA;
+}
+
+inline b2Body* b2Joint::GetBodyB()
+{
+ return m_bodyB;
+}
+
+inline b2Joint* b2Joint::GetNext()
+{
+ return m_next;
+}
+
+inline const b2Joint* b2Joint::GetNext() const
+{
+ return m_next;
+}
+
+inline void* b2Joint::GetUserData() const
+{
+ return m_userData;
+}
+
+inline void b2Joint::SetUserData(void* data)
+{
+ m_userData = data;
+}
+
+inline bool b2Joint::GetCollideConnected() const
+{
+ return m_collideConnected;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.cpp
new file mode 100644
index 0000000..7906845
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.cpp
@@ -0,0 +1,309 @@
+/*
+* Copyright (c) 2006-2012 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 "Box2D/Dynamics/Joints/b2MotorJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Point-to-point constraint
+// Cdot = v2 - v1
+// = v2 + cross(w2, r2) - v1 - cross(w1, r1)
+// J = [-I -r1_skew I r2_skew ]
+// Identity used:
+// w k % (rx i + ry j) = w * (-ry i + rx j)
+//
+// r1 = offset - c1
+// r2 = -c2
+
+// Angle constraint
+// Cdot = w2 - w1
+// J = [0 0 -1 0 0 1]
+// K = invI1 + invI2
+
+void b2MotorJointDef::Initialize(b2Body* bA, b2Body* bB)
+{
+ bodyA = bA;
+ bodyB = bB;
+ b2Vec2 xB = bodyB->GetPosition();
+ linearOffset = bodyA->GetLocalPoint(xB);
+
+ float32 angleA = bodyA->GetAngle();
+ float32 angleB = bodyB->GetAngle();
+ angularOffset = angleB - angleA;
+}
+
+b2MotorJoint::b2MotorJoint(const b2MotorJointDef* def)
+: b2Joint(def)
+{
+ m_linearOffset = def->linearOffset;
+ m_angularOffset = def->angularOffset;
+
+ m_linearImpulse.SetZero();
+ m_angularImpulse = 0.0f;
+
+ m_maxForce = def->maxForce;
+ m_maxTorque = def->maxTorque;
+ m_correctionFactor = def->correctionFactor;
+}
+
+void b2MotorJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ // Compute the effective mass matrix.
+ m_rA = b2Mul(qA, m_linearOffset - m_localCenterA);
+ m_rB = b2Mul(qB, -m_localCenterB);
+
+ // J = [-I -r1_skew I r2_skew]
+ // r_skew = [-ry; rx]
+
+ // Matlab
+ // K = [ mA+r1y^2*iA+mB+r2y^2*iB, -r1y*iA*r1x-r2y*iB*r2x, -r1y*iA-r2y*iB]
+ // [ -r1y*iA*r1x-r2y*iB*r2x, mA+r1x^2*iA+mB+r2x^2*iB, r1x*iA+r2x*iB]
+ // [ -r1y*iA-r2y*iB, r1x*iA+r2x*iB, iA+iB]
+
+
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ // Upper 2 by 2 of K for point to point
+ b2Mat22 K;
+ K.ex.x = mA + mB + iA * m_rA.y * m_rA.y + iB * m_rB.y * m_rB.y;
+ K.ex.y = -iA * m_rA.x * m_rA.y - iB * m_rB.x * m_rB.y;
+ K.ey.x = K.ex.y;
+ K.ey.y = mA + mB + iA * m_rA.x * m_rA.x + iB * m_rB.x * m_rB.x;
+
+ m_linearMass = K.GetInverse();
+
+ m_angularMass = iA + iB;
+ if (m_angularMass > 0.0f)
+ {
+ m_angularMass = 1.0f / m_angularMass;
+ }
+
+ m_linearError = cB + m_rB - cA - m_rA;
+ m_angularError = aB - aA - m_angularOffset;
+
+ if (data.step.warmStarting)
+ {
+ // Scale impulses to support a variable time step.
+ m_linearImpulse *= data.step.dtRatio;
+ m_angularImpulse *= data.step.dtRatio;
+
+ b2Vec2 P(m_linearImpulse.x, m_linearImpulse.y);
+ vA -= mA * P;
+ wA -= iA * (b2Cross(m_rA, P) + m_angularImpulse);
+ vB += mB * P;
+ wB += iB * (b2Cross(m_rB, P) + m_angularImpulse);
+ }
+ else
+ {
+ m_linearImpulse.SetZero();
+ m_angularImpulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2MotorJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ float32 h = data.step.dt;
+ float32 inv_h = data.step.inv_dt;
+
+ // Solve angular friction
+ {
+ float32 Cdot = wB - wA + inv_h * m_correctionFactor * m_angularError;
+ float32 impulse = -m_angularMass * Cdot;
+
+ float32 oldImpulse = m_angularImpulse;
+ float32 maxImpulse = h * m_maxTorque;
+ m_angularImpulse = b2Clamp(m_angularImpulse + impulse, -maxImpulse, maxImpulse);
+ impulse = m_angularImpulse - oldImpulse;
+
+ wA -= iA * impulse;
+ wB += iB * impulse;
+ }
+
+ // Solve linear friction
+ {
+ b2Vec2 Cdot = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA) + inv_h * m_correctionFactor * m_linearError;
+
+ b2Vec2 impulse = -b2Mul(m_linearMass, Cdot);
+ b2Vec2 oldImpulse = m_linearImpulse;
+ m_linearImpulse += impulse;
+
+ float32 maxImpulse = h * m_maxForce;
+
+ if (m_linearImpulse.LengthSquared() > maxImpulse * maxImpulse)
+ {
+ m_linearImpulse.Normalize();
+ m_linearImpulse *= maxImpulse;
+ }
+
+ impulse = m_linearImpulse - oldImpulse;
+
+ vA -= mA * impulse;
+ wA -= iA * b2Cross(m_rA, impulse);
+
+ vB += mB * impulse;
+ wB += iB * b2Cross(m_rB, impulse);
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2MotorJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ B2_NOT_USED(data);
+
+ return true;
+}
+
+b2Vec2 b2MotorJoint::GetAnchorA() const
+{
+ return m_bodyA->GetPosition();
+}
+
+b2Vec2 b2MotorJoint::GetAnchorB() const
+{
+ return m_bodyB->GetPosition();
+}
+
+b2Vec2 b2MotorJoint::GetReactionForce(float32 inv_dt) const
+{
+ return inv_dt * m_linearImpulse;
+}
+
+float32 b2MotorJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * m_angularImpulse;
+}
+
+void b2MotorJoint::SetMaxForce(float32 force)
+{
+ b2Assert(b2IsValid(force) && force >= 0.0f);
+ m_maxForce = force;
+}
+
+float32 b2MotorJoint::GetMaxForce() const
+{
+ return m_maxForce;
+}
+
+void b2MotorJoint::SetMaxTorque(float32 torque)
+{
+ b2Assert(b2IsValid(torque) && torque >= 0.0f);
+ m_maxTorque = torque;
+}
+
+float32 b2MotorJoint::GetMaxTorque() const
+{
+ return m_maxTorque;
+}
+
+void b2MotorJoint::SetCorrectionFactor(float32 factor)
+{
+ b2Assert(b2IsValid(factor) && 0.0f <= factor && factor <= 1.0f);
+ m_correctionFactor = factor;
+}
+
+float32 b2MotorJoint::GetCorrectionFactor() const
+{
+ return m_correctionFactor;
+}
+
+void b2MotorJoint::SetLinearOffset(const b2Vec2& linearOffset)
+{
+ if (linearOffset.x != m_linearOffset.x || linearOffset.y != m_linearOffset.y)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_linearOffset = linearOffset;
+ }
+}
+
+const b2Vec2& b2MotorJoint::GetLinearOffset() const
+{
+ return m_linearOffset;
+}
+
+void b2MotorJoint::SetAngularOffset(float32 angularOffset)
+{
+ if (angularOffset != m_angularOffset)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_angularOffset = angularOffset;
+ }
+}
+
+float32 b2MotorJoint::GetAngularOffset() const
+{
+ return m_angularOffset;
+}
+
+void b2MotorJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2MotorJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.linearOffset.Set(%.15lef, %.15lef);\n", m_linearOffset.x, m_linearOffset.y);
+ b2Log(" jd.angularOffset = %.15lef;\n", m_angularOffset);
+ b2Log(" jd.maxForce = %.15lef;\n", m_maxForce);
+ b2Log(" jd.maxTorque = %.15lef;\n", m_maxTorque);
+ b2Log(" jd.correctionFactor = %.15lef;\n", m_correctionFactor);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.h
new file mode 100644
index 0000000..f384f41
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2MotorJoint.h
@@ -0,0 +1,133 @@
+/*
+* Copyright (c) 2006-2012 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_MOTOR_JOINT_H
+#define B2_MOTOR_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Motor joint definition.
+struct b2MotorJointDef : public b2JointDef
+{
+ b2MotorJointDef()
+ {
+ type = e_motorJoint;
+ linearOffset.SetZero();
+ angularOffset = 0.0f;
+ maxForce = 1.0f;
+ maxTorque = 1.0f;
+ correctionFactor = 0.3f;
+ }
+
+ /// Initialize the bodies and offsets using the current transforms.
+ void Initialize(b2Body* bodyA, b2Body* bodyB);
+
+ /// Position of bodyB minus the position of bodyA, in bodyA's frame, in meters.
+ b2Vec2 linearOffset;
+
+ /// The bodyB angle minus bodyA angle in radians.
+ float32 angularOffset;
+
+ /// The maximum motor force in N.
+ float32 maxForce;
+
+ /// The maximum motor torque in N-m.
+ float32 maxTorque;
+
+ /// Position correction factor in the range [0,1].
+ float32 correctionFactor;
+};
+
+/// A motor joint is used to control the relative motion
+/// between two bodies. A typical usage is to control the movement
+/// of a dynamic body with respect to the ground.
+class b2MotorJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// Set/get the target linear offset, in frame A, in meters.
+ void SetLinearOffset(const b2Vec2& linearOffset);
+ const b2Vec2& GetLinearOffset() const;
+
+ /// Set/get the target angular offset, in radians.
+ void SetAngularOffset(float32 angularOffset);
+ float32 GetAngularOffset() const;
+
+ /// Set the maximum friction force in N.
+ void SetMaxForce(float32 force);
+
+ /// Get the maximum friction force in N.
+ float32 GetMaxForce() const;
+
+ /// Set the maximum friction torque in N*m.
+ void SetMaxTorque(float32 torque);
+
+ /// Get the maximum friction torque in N*m.
+ float32 GetMaxTorque() const;
+
+ /// Set the position correction factor in the range [0,1].
+ void SetCorrectionFactor(float32 factor);
+
+ /// Get the position correction factor in the range [0,1].
+ float32 GetCorrectionFactor() const;
+
+ /// Dump to b2Log
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+
+ b2MotorJoint(const b2MotorJointDef* def);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ // Solver shared
+ b2Vec2 m_linearOffset;
+ float32 m_angularOffset;
+ b2Vec2 m_linearImpulse;
+ float32 m_angularImpulse;
+ float32 m_maxForce;
+ float32 m_maxTorque;
+ float32 m_correctionFactor;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_rA;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ b2Vec2 m_linearError;
+ float32 m_angularError;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ b2Mat22 m_linearMass;
+ float32 m_angularMass;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.cpp
new file mode 100644
index 0000000..637e4cd
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.cpp
@@ -0,0 +1,222 @@
+/*
+* Copyright (c) 2006-2007 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 "Box2D/Dynamics/Joints/b2MouseJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// p = attached point, m = mouse point
+// C = p - m
+// Cdot = v
+// = v + cross(w, r)
+// J = [I r_skew]
+// Identity used:
+// w k % (rx i + ry j) = w * (-ry i + rx j)
+
+b2MouseJoint::b2MouseJoint(const b2MouseJointDef* def)
+: b2Joint(def)
+{
+ b2Assert(def->target.IsValid());
+ b2Assert(b2IsValid(def->maxForce) && def->maxForce >= 0.0f);
+ b2Assert(b2IsValid(def->frequencyHz) && def->frequencyHz >= 0.0f);
+ b2Assert(b2IsValid(def->dampingRatio) && def->dampingRatio >= 0.0f);
+
+ m_targetA = def->target;
+ m_localAnchorB = b2MulT(m_bodyB->GetTransform(), m_targetA);
+
+ m_maxForce = def->maxForce;
+ m_impulse.SetZero();
+
+ m_frequencyHz = def->frequencyHz;
+ m_dampingRatio = def->dampingRatio;
+
+ m_beta = 0.0f;
+ m_gamma = 0.0f;
+}
+
+void b2MouseJoint::SetTarget(const b2Vec2& target)
+{
+ if (target != m_targetA)
+ {
+ m_bodyB->SetAwake(true);
+ m_targetA = target;
+ }
+}
+
+const b2Vec2& b2MouseJoint::GetTarget() const
+{
+ return m_targetA;
+}
+
+void b2MouseJoint::SetMaxForce(float32 force)
+{
+ m_maxForce = force;
+}
+
+float32 b2MouseJoint::GetMaxForce() const
+{
+ return m_maxForce;
+}
+
+void b2MouseJoint::SetFrequency(float32 hz)
+{
+ m_frequencyHz = hz;
+}
+
+float32 b2MouseJoint::GetFrequency() const
+{
+ return m_frequencyHz;
+}
+
+void b2MouseJoint::SetDampingRatio(float32 ratio)
+{
+ m_dampingRatio = ratio;
+}
+
+float32 b2MouseJoint::GetDampingRatio() const
+{
+ return m_dampingRatio;
+}
+
+void b2MouseJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIB = m_bodyB->m_invI;
+
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qB(aB);
+
+ float32 mass = m_bodyB->GetMass();
+
+ // Frequency
+ float32 omega = 2.0f * b2_pi * m_frequencyHz;
+
+ // Damping coefficient
+ float32 d = 2.0f * mass * m_dampingRatio * omega;
+
+ // Spring stiffness
+ float32 k = mass * (omega * omega);
+
+ // magic formulas
+ // gamma has units of inverse mass.
+ // beta has units of inverse time.
+ float32 h = data.step.dt;
+ b2Assert(d + h * k > b2_epsilon);
+ m_gamma = h * (d + h * k);
+ if (m_gamma != 0.0f)
+ {
+ m_gamma = 1.0f / m_gamma;
+ }
+ m_beta = h * k * m_gamma;
+
+ // Compute the effective mass matrix.
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ // K = [(1/m1 + 1/m2) * eye(2) - skew(r1) * invI1 * skew(r1) - skew(r2) * invI2 * skew(r2)]
+ // = [1/m1+1/m2 0 ] + invI1 * [r1.y*r1.y -r1.x*r1.y] + invI2 * [r1.y*r1.y -r1.x*r1.y]
+ // [ 0 1/m1+1/m2] [-r1.x*r1.y r1.x*r1.x] [-r1.x*r1.y r1.x*r1.x]
+ b2Mat22 K;
+ K.ex.x = m_invMassB + m_invIB * m_rB.y * m_rB.y + m_gamma;
+ K.ex.y = -m_invIB * m_rB.x * m_rB.y;
+ K.ey.x = K.ex.y;
+ K.ey.y = m_invMassB + m_invIB * m_rB.x * m_rB.x + m_gamma;
+
+ m_mass = K.GetInverse();
+
+ m_C = cB + m_rB - m_targetA;
+ m_C *= m_beta;
+
+ // Cheat with some damping
+ wB *= 0.98f;
+
+ if (data.step.warmStarting)
+ {
+ m_impulse *= data.step.dtRatio;
+ vB += m_invMassB * m_impulse;
+ wB += m_invIB * b2Cross(m_rB, m_impulse);
+ }
+ else
+ {
+ m_impulse.SetZero();
+ }
+
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2MouseJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ // Cdot = v + cross(w, r)
+ b2Vec2 Cdot = vB + b2Cross(wB, m_rB);
+ b2Vec2 impulse = b2Mul(m_mass, -(Cdot + m_C + m_gamma * m_impulse));
+
+ b2Vec2 oldImpulse = m_impulse;
+ m_impulse += impulse;
+ float32 maxImpulse = data.step.dt * m_maxForce;
+ if (m_impulse.LengthSquared() > maxImpulse * maxImpulse)
+ {
+ m_impulse *= maxImpulse / m_impulse.Length();
+ }
+ impulse = m_impulse - oldImpulse;
+
+ vB += m_invMassB * impulse;
+ wB += m_invIB * b2Cross(m_rB, impulse);
+
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2MouseJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ B2_NOT_USED(data);
+ return true;
+}
+
+b2Vec2 b2MouseJoint::GetAnchorA() const
+{
+ return m_targetA;
+}
+
+b2Vec2 b2MouseJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2MouseJoint::GetReactionForce(float32 inv_dt) const
+{
+ return inv_dt * m_impulse;
+}
+
+float32 b2MouseJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * 0.0f;
+}
+
+void b2MouseJoint::ShiftOrigin(const b2Vec2& newOrigin)
+{
+ m_targetA -= newOrigin;
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.h
new file mode 100644
index 0000000..7441978
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2MouseJoint.h
@@ -0,0 +1,129 @@
+/*
+* Copyright (c) 2006-2007 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_MOUSE_JOINT_H
+#define B2_MOUSE_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Mouse joint definition. This requires a world target point,
+/// tuning parameters, and the time step.
+struct b2MouseJointDef : public b2JointDef
+{
+ b2MouseJointDef()
+ {
+ type = e_mouseJoint;
+ target.Set(0.0f, 0.0f);
+ maxForce = 0.0f;
+ frequencyHz = 5.0f;
+ dampingRatio = 0.7f;
+ }
+
+ /// The initial world target point. This is assumed
+ /// to coincide with the body anchor initially.
+ b2Vec2 target;
+
+ /// The maximum constraint force that can be exerted
+ /// to move the candidate body. Usually you will express
+ /// as some multiple of the weight (multiplier * mass * gravity).
+ float32 maxForce;
+
+ /// The response speed.
+ float32 frequencyHz;
+
+ /// The damping ratio. 0 = no damping, 1 = critical damping.
+ float32 dampingRatio;
+};
+
+/// A mouse joint is used to make a point on a body track a
+/// specified world point. This a soft constraint with a maximum
+/// force. This allows the constraint to stretch and without
+/// applying huge forces.
+/// NOTE: this joint is not documented in the manual because it was
+/// developed to be used in the testbed. If you want to learn how to
+/// use the mouse joint, look at the testbed.
+class b2MouseJoint : public b2Joint
+{
+public:
+
+ /// Implements b2Joint.
+ b2Vec2 GetAnchorA() const override;
+
+ /// Implements b2Joint.
+ b2Vec2 GetAnchorB() const override;
+
+ /// Implements b2Joint.
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+
+ /// Implements b2Joint.
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// Use this to update the target point.
+ void SetTarget(const b2Vec2& target);
+ const b2Vec2& GetTarget() const;
+
+ /// Set/get the maximum force in Newtons.
+ void SetMaxForce(float32 force);
+ float32 GetMaxForce() const;
+
+ /// Set/get the frequency in Hertz.
+ void SetFrequency(float32 hz);
+ float32 GetFrequency() const;
+
+ /// Set/get the damping ratio (dimensionless).
+ void SetDampingRatio(float32 ratio);
+ float32 GetDampingRatio() const;
+
+ /// The mouse joint does not support dumping.
+ void Dump() override { b2Log("Mouse joint dumping is not supported.\n"); }
+
+ /// Implement b2Joint::ShiftOrigin
+ void ShiftOrigin(const b2Vec2& newOrigin) override;
+
+protected:
+ friend class b2Joint;
+
+ b2MouseJoint(const b2MouseJointDef* def);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ b2Vec2 m_localAnchorB;
+ b2Vec2 m_targetA;
+ float32 m_frequencyHz;
+ float32 m_dampingRatio;
+ float32 m_beta;
+
+ // Solver shared
+ b2Vec2 m_impulse;
+ float32 m_maxForce;
+ float32 m_gamma;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassB;
+ float32 m_invIB;
+ b2Mat22 m_mass;
+ b2Vec2 m_C;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.cpp
new file mode 100644
index 0000000..5da19b6
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.cpp
@@ -0,0 +1,642 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Dynamics/Joints/b2PrismaticJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Linear constraint (point-to-line)
+// d = p2 - p1 = x2 + r2 - x1 - r1
+// C = dot(perp, d)
+// Cdot = dot(d, cross(w1, perp)) + dot(perp, v2 + cross(w2, r2) - v1 - cross(w1, r1))
+// = -dot(perp, v1) - dot(cross(d + r1, perp), w1) + dot(perp, v2) + dot(cross(r2, perp), v2)
+// J = [-perp, -cross(d + r1, perp), perp, cross(r2,perp)]
+//
+// Angular constraint
+// C = a2 - a1 + a_initial
+// Cdot = w2 - w1
+// J = [0 0 -1 0 0 1]
+//
+// K = J * invM * JT
+//
+// J = [-a -s1 a s2]
+// [0 -1 0 1]
+// a = perp
+// s1 = cross(d + r1, a) = cross(p2 - x1, a)
+// s2 = cross(r2, a) = cross(p2 - x2, a)
+
+
+// Motor/Limit linear constraint
+// C = dot(ax1, d)
+// Cdot = = -dot(ax1, v1) - dot(cross(d + r1, ax1), w1) + dot(ax1, v2) + dot(cross(r2, ax1), v2)
+// J = [-ax1 -cross(d+r1,ax1) ax1 cross(r2,ax1)]
+
+// Block Solver
+// We develop a block solver that includes the joint limit. This makes the limit stiff (inelastic) even
+// when the mass has poor distribution (leading to large torques about the joint anchor points).
+//
+// The Jacobian has 3 rows:
+// J = [-uT -s1 uT s2] // linear
+// [0 -1 0 1] // angular
+// [-vT -a1 vT a2] // limit
+//
+// u = perp
+// v = axis
+// s1 = cross(d + r1, u), s2 = cross(r2, u)
+// a1 = cross(d + r1, v), a2 = cross(r2, v)
+
+// M * (v2 - v1) = JT * df
+// J * v2 = bias
+//
+// v2 = v1 + invM * JT * df
+// J * (v1 + invM * JT * df) = bias
+// K * df = bias - J * v1 = -Cdot
+// K = J * invM * JT
+// Cdot = J * v1 - bias
+//
+// Now solve for f2.
+// df = f2 - f1
+// K * (f2 - f1) = -Cdot
+// f2 = invK * (-Cdot) + f1
+//
+// Clamp accumulated limit impulse.
+// lower: f2(3) = max(f2(3), 0)
+// upper: f2(3) = min(f2(3), 0)
+//
+// Solve for correct f2(1:2)
+// K(1:2, 1:2) * f2(1:2) = -Cdot(1:2) - K(1:2,3) * f2(3) + K(1:2,1:3) * f1
+// = -Cdot(1:2) - K(1:2,3) * f2(3) + K(1:2,1:2) * f1(1:2) + K(1:2,3) * f1(3)
+// K(1:2, 1:2) * f2(1:2) = -Cdot(1:2) - K(1:2,3) * (f2(3) - f1(3)) + K(1:2,1:2) * f1(1:2)
+// f2(1:2) = invK(1:2,1:2) * (-Cdot(1:2) - K(1:2,3) * (f2(3) - f1(3))) + f1(1:2)
+//
+// Now compute impulse to be applied:
+// df = f2 - f1
+
+void b2PrismaticJointDef::Initialize(b2Body* bA, b2Body* bB, const b2Vec2& anchor, const b2Vec2& axis)
+{
+ bodyA = bA;
+ bodyB = bB;
+ localAnchorA = bodyA->GetLocalPoint(anchor);
+ localAnchorB = bodyB->GetLocalPoint(anchor);
+ localAxisA = bodyA->GetLocalVector(axis);
+ referenceAngle = bodyB->GetAngle() - bodyA->GetAngle();
+}
+
+b2PrismaticJoint::b2PrismaticJoint(const b2PrismaticJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+ m_localXAxisA = def->localAxisA;
+ m_localXAxisA.Normalize();
+ m_localYAxisA = b2Cross(1.0f, m_localXAxisA);
+ m_referenceAngle = def->referenceAngle;
+
+ m_impulse.SetZero();
+ m_motorMass = 0.0f;
+ m_motorImpulse = 0.0f;
+
+ m_lowerTranslation = def->lowerTranslation;
+ m_upperTranslation = def->upperTranslation;
+ m_maxMotorForce = def->maxMotorForce;
+ m_motorSpeed = def->motorSpeed;
+ m_enableLimit = def->enableLimit;
+ m_enableMotor = def->enableMotor;
+ m_limitState = e_inactiveLimit;
+
+ m_axis.SetZero();
+ m_perp.SetZero();
+}
+
+void b2PrismaticJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ // Compute the effective masses.
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ b2Vec2 d = (cB - cA) + rB - rA;
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ // Compute motor Jacobian and effective mass.
+ {
+ m_axis = b2Mul(qA, m_localXAxisA);
+ m_a1 = b2Cross(d + rA, m_axis);
+ m_a2 = b2Cross(rB, m_axis);
+
+ m_motorMass = mA + mB + iA * m_a1 * m_a1 + iB * m_a2 * m_a2;
+ if (m_motorMass > 0.0f)
+ {
+ m_motorMass = 1.0f / m_motorMass;
+ }
+ }
+
+ // Prismatic constraint.
+ {
+ m_perp = b2Mul(qA, m_localYAxisA);
+
+ m_s1 = b2Cross(d + rA, m_perp);
+ m_s2 = b2Cross(rB, m_perp);
+
+ float32 k11 = mA + mB + iA * m_s1 * m_s1 + iB * m_s2 * m_s2;
+ float32 k12 = iA * m_s1 + iB * m_s2;
+ float32 k13 = iA * m_s1 * m_a1 + iB * m_s2 * m_a2;
+ float32 k22 = iA + iB;
+ if (k22 == 0.0f)
+ {
+ // For bodies with fixed rotation.
+ k22 = 1.0f;
+ }
+ float32 k23 = iA * m_a1 + iB * m_a2;
+ float32 k33 = mA + mB + iA * m_a1 * m_a1 + iB * m_a2 * m_a2;
+
+ m_K.ex.Set(k11, k12, k13);
+ m_K.ey.Set(k12, k22, k23);
+ m_K.ez.Set(k13, k23, k33);
+ }
+
+ // Compute motor and limit terms.
+ if (m_enableLimit)
+ {
+ float32 jointTranslation = b2Dot(m_axis, d);
+ if (b2Abs(m_upperTranslation - m_lowerTranslation) < 2.0f * b2_linearSlop)
+ {
+ m_limitState = e_equalLimits;
+ }
+ else if (jointTranslation <= m_lowerTranslation)
+ {
+ if (m_limitState != e_atLowerLimit)
+ {
+ m_limitState = e_atLowerLimit;
+ m_impulse.z = 0.0f;
+ }
+ }
+ else if (jointTranslation >= m_upperTranslation)
+ {
+ if (m_limitState != e_atUpperLimit)
+ {
+ m_limitState = e_atUpperLimit;
+ m_impulse.z = 0.0f;
+ }
+ }
+ else
+ {
+ m_limitState = e_inactiveLimit;
+ m_impulse.z = 0.0f;
+ }
+ }
+ else
+ {
+ m_limitState = e_inactiveLimit;
+ m_impulse.z = 0.0f;
+ }
+
+ if (m_enableMotor == false)
+ {
+ m_motorImpulse = 0.0f;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Account for variable time step.
+ m_impulse *= data.step.dtRatio;
+ m_motorImpulse *= data.step.dtRatio;
+
+ b2Vec2 P = m_impulse.x * m_perp + (m_motorImpulse + m_impulse.z) * m_axis;
+ float32 LA = m_impulse.x * m_s1 + m_impulse.y + (m_motorImpulse + m_impulse.z) * m_a1;
+ float32 LB = m_impulse.x * m_s2 + m_impulse.y + (m_motorImpulse + m_impulse.z) * m_a2;
+
+ vA -= mA * P;
+ wA -= iA * LA;
+
+ vB += mB * P;
+ wB += iB * LB;
+ }
+ else
+ {
+ m_impulse.SetZero();
+ m_motorImpulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2PrismaticJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ // Solve linear motor constraint.
+ if (m_enableMotor && m_limitState != e_equalLimits)
+ {
+ float32 Cdot = b2Dot(m_axis, vB - vA) + m_a2 * wB - m_a1 * wA;
+ float32 impulse = m_motorMass * (m_motorSpeed - Cdot);
+ float32 oldImpulse = m_motorImpulse;
+ float32 maxImpulse = data.step.dt * m_maxMotorForce;
+ m_motorImpulse = b2Clamp(m_motorImpulse + impulse, -maxImpulse, maxImpulse);
+ impulse = m_motorImpulse - oldImpulse;
+
+ b2Vec2 P = impulse * m_axis;
+ float32 LA = impulse * m_a1;
+ float32 LB = impulse * m_a2;
+
+ vA -= mA * P;
+ wA -= iA * LA;
+
+ vB += mB * P;
+ wB += iB * LB;
+ }
+
+ b2Vec2 Cdot1;
+ Cdot1.x = b2Dot(m_perp, vB - vA) + m_s2 * wB - m_s1 * wA;
+ Cdot1.y = wB - wA;
+
+ if (m_enableLimit && m_limitState != e_inactiveLimit)
+ {
+ // Solve prismatic and limit constraint in block form.
+ float32 Cdot2;
+ Cdot2 = b2Dot(m_axis, vB - vA) + m_a2 * wB - m_a1 * wA;
+ b2Vec3 Cdot(Cdot1.x, Cdot1.y, Cdot2);
+
+ b2Vec3 f1 = m_impulse;
+ b2Vec3 df = m_K.Solve33(-Cdot);
+ m_impulse += df;
+
+ if (m_limitState == e_atLowerLimit)
+ {
+ m_impulse.z = b2Max(m_impulse.z, 0.0f);
+ }
+ else if (m_limitState == e_atUpperLimit)
+ {
+ m_impulse.z = b2Min(m_impulse.z, 0.0f);
+ }
+
+ // f2(1:2) = invK(1:2,1:2) * (-Cdot(1:2) - K(1:2,3) * (f2(3) - f1(3))) + f1(1:2)
+ b2Vec2 b = -Cdot1 - (m_impulse.z - f1.z) * b2Vec2(m_K.ez.x, m_K.ez.y);
+ b2Vec2 f2r = m_K.Solve22(b) + b2Vec2(f1.x, f1.y);
+ m_impulse.x = f2r.x;
+ m_impulse.y = f2r.y;
+
+ df = m_impulse - f1;
+
+ b2Vec2 P = df.x * m_perp + df.z * m_axis;
+ float32 LA = df.x * m_s1 + df.y + df.z * m_a1;
+ float32 LB = df.x * m_s2 + df.y + df.z * m_a2;
+
+ vA -= mA * P;
+ wA -= iA * LA;
+
+ vB += mB * P;
+ wB += iB * LB;
+ }
+ else
+ {
+ // Limit is inactive, just solve the prismatic constraint in block form.
+ b2Vec2 df = m_K.Solve22(-Cdot1);
+ m_impulse.x += df.x;
+ m_impulse.y += df.y;
+
+ b2Vec2 P = df.x * m_perp;
+ float32 LA = df.x * m_s1 + df.y;
+ float32 LB = df.x * m_s2 + df.y;
+
+ vA -= mA * P;
+ wA -= iA * LA;
+
+ vB += mB * P;
+ wB += iB * LB;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+// A velocity based solver computes reaction forces(impulses) using the velocity constraint solver.Under this context,
+// the position solver is not there to resolve forces.It is only there to cope with integration error.
+//
+// Therefore, the pseudo impulses in the position solver do not have any physical meaning.Thus it is okay if they suck.
+//
+// We could take the active state from the velocity solver.However, the joint might push past the limit when the velocity
+// solver indicates the limit is inactive.
+bool b2PrismaticJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+
+ b2Rot qA(aA), qB(aB);
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ // Compute fresh Jacobians
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ b2Vec2 d = cB + rB - cA - rA;
+
+ b2Vec2 axis = b2Mul(qA, m_localXAxisA);
+ float32 a1 = b2Cross(d + rA, axis);
+ float32 a2 = b2Cross(rB, axis);
+ b2Vec2 perp = b2Mul(qA, m_localYAxisA);
+
+ float32 s1 = b2Cross(d + rA, perp);
+ float32 s2 = b2Cross(rB, perp);
+
+ b2Vec3 impulse;
+ b2Vec2 C1;
+ C1.x = b2Dot(perp, d);
+ C1.y = aB - aA - m_referenceAngle;
+
+ float32 linearError = b2Abs(C1.x);
+ float32 angularError = b2Abs(C1.y);
+
+ bool active = false;
+ float32 C2 = 0.0f;
+ if (m_enableLimit)
+ {
+ float32 translation = b2Dot(axis, d);
+ if (b2Abs(m_upperTranslation - m_lowerTranslation) < 2.0f * b2_linearSlop)
+ {
+ // Prevent large angular corrections
+ C2 = b2Clamp(translation, -b2_maxLinearCorrection, b2_maxLinearCorrection);
+ linearError = b2Max(linearError, b2Abs(translation));
+ active = true;
+ }
+ else if (translation <= m_lowerTranslation)
+ {
+ // Prevent large linear corrections and allow some slop.
+ C2 = b2Clamp(translation - m_lowerTranslation + b2_linearSlop, -b2_maxLinearCorrection, 0.0f);
+ linearError = b2Max(linearError, m_lowerTranslation - translation);
+ active = true;
+ }
+ else if (translation >= m_upperTranslation)
+ {
+ // Prevent large linear corrections and allow some slop.
+ C2 = b2Clamp(translation - m_upperTranslation - b2_linearSlop, 0.0f, b2_maxLinearCorrection);
+ linearError = b2Max(linearError, translation - m_upperTranslation);
+ active = true;
+ }
+ }
+
+ if (active)
+ {
+ float32 k11 = mA + mB + iA * s1 * s1 + iB * s2 * s2;
+ float32 k12 = iA * s1 + iB * s2;
+ float32 k13 = iA * s1 * a1 + iB * s2 * a2;
+ float32 k22 = iA + iB;
+ if (k22 == 0.0f)
+ {
+ // For fixed rotation
+ k22 = 1.0f;
+ }
+ float32 k23 = iA * a1 + iB * a2;
+ float32 k33 = mA + mB + iA * a1 * a1 + iB * a2 * a2;
+
+ b2Mat33 K;
+ K.ex.Set(k11, k12, k13);
+ K.ey.Set(k12, k22, k23);
+ K.ez.Set(k13, k23, k33);
+
+ b2Vec3 C;
+ C.x = C1.x;
+ C.y = C1.y;
+ C.z = C2;
+
+ impulse = K.Solve33(-C);
+ }
+ else
+ {
+ float32 k11 = mA + mB + iA * s1 * s1 + iB * s2 * s2;
+ float32 k12 = iA * s1 + iB * s2;
+ float32 k22 = iA + iB;
+ if (k22 == 0.0f)
+ {
+ k22 = 1.0f;
+ }
+
+ b2Mat22 K;
+ K.ex.Set(k11, k12);
+ K.ey.Set(k12, k22);
+
+ b2Vec2 impulse1 = K.Solve(-C1);
+ impulse.x = impulse1.x;
+ impulse.y = impulse1.y;
+ impulse.z = 0.0f;
+ }
+
+ b2Vec2 P = impulse.x * perp + impulse.z * axis;
+ float32 LA = impulse.x * s1 + impulse.y + impulse.z * a1;
+ float32 LB = impulse.x * s2 + impulse.y + impulse.z * a2;
+
+ cA -= mA * P;
+ aA -= iA * LA;
+ cB += mB * P;
+ aB += iB * LB;
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+
+ return linearError <= b2_linearSlop && angularError <= b2_angularSlop;
+}
+
+b2Vec2 b2PrismaticJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2PrismaticJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2PrismaticJoint::GetReactionForce(float32 inv_dt) const
+{
+ return inv_dt * (m_impulse.x * m_perp + (m_motorImpulse + m_impulse.z) * m_axis);
+}
+
+float32 b2PrismaticJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * m_impulse.y;
+}
+
+float32 b2PrismaticJoint::GetJointTranslation() const
+{
+ b2Vec2 pA = m_bodyA->GetWorldPoint(m_localAnchorA);
+ b2Vec2 pB = m_bodyB->GetWorldPoint(m_localAnchorB);
+ b2Vec2 d = pB - pA;
+ b2Vec2 axis = m_bodyA->GetWorldVector(m_localXAxisA);
+
+ float32 translation = b2Dot(d, axis);
+ return translation;
+}
+
+float32 b2PrismaticJoint::GetJointSpeed() const
+{
+ b2Body* bA = m_bodyA;
+ b2Body* bB = m_bodyB;
+
+ b2Vec2 rA = b2Mul(bA->m_xf.q, m_localAnchorA - bA->m_sweep.localCenter);
+ b2Vec2 rB = b2Mul(bB->m_xf.q, m_localAnchorB - bB->m_sweep.localCenter);
+ b2Vec2 p1 = bA->m_sweep.c + rA;
+ b2Vec2 p2 = bB->m_sweep.c + rB;
+ b2Vec2 d = p2 - p1;
+ b2Vec2 axis = b2Mul(bA->m_xf.q, m_localXAxisA);
+
+ b2Vec2 vA = bA->m_linearVelocity;
+ b2Vec2 vB = bB->m_linearVelocity;
+ float32 wA = bA->m_angularVelocity;
+ float32 wB = bB->m_angularVelocity;
+
+ float32 speed = b2Dot(d, b2Cross(wA, axis)) + b2Dot(axis, vB + b2Cross(wB, rB) - vA - b2Cross(wA, rA));
+ return speed;
+}
+
+bool b2PrismaticJoint::IsLimitEnabled() const
+{
+ return m_enableLimit;
+}
+
+void b2PrismaticJoint::EnableLimit(bool flag)
+{
+ if (flag != m_enableLimit)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_enableLimit = flag;
+ m_impulse.z = 0.0f;
+ }
+}
+
+float32 b2PrismaticJoint::GetLowerLimit() const
+{
+ return m_lowerTranslation;
+}
+
+float32 b2PrismaticJoint::GetUpperLimit() const
+{
+ return m_upperTranslation;
+}
+
+void b2PrismaticJoint::SetLimits(float32 lower, float32 upper)
+{
+ b2Assert(lower <= upper);
+ if (lower != m_lowerTranslation || upper != m_upperTranslation)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_lowerTranslation = lower;
+ m_upperTranslation = upper;
+ m_impulse.z = 0.0f;
+ }
+}
+
+bool b2PrismaticJoint::IsMotorEnabled() const
+{
+ return m_enableMotor;
+}
+
+void b2PrismaticJoint::EnableMotor(bool flag)
+{
+ if (flag != m_enableMotor)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_enableMotor = flag;
+ }
+}
+
+void b2PrismaticJoint::SetMotorSpeed(float32 speed)
+{
+ if (speed != m_motorSpeed)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_motorSpeed = speed;
+ }
+}
+
+void b2PrismaticJoint::SetMaxMotorForce(float32 force)
+{
+ if (force != m_maxMotorForce)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_maxMotorForce = force;
+ }
+}
+
+float32 b2PrismaticJoint::GetMotorForce(float32 inv_dt) const
+{
+ return inv_dt * m_motorImpulse;
+}
+
+void b2PrismaticJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2PrismaticJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.localAxisA.Set(%.15lef, %.15lef);\n", m_localXAxisA.x, m_localXAxisA.y);
+ b2Log(" jd.referenceAngle = %.15lef;\n", m_referenceAngle);
+ b2Log(" jd.enableLimit = bool(%d);\n", m_enableLimit);
+ b2Log(" jd.lowerTranslation = %.15lef;\n", m_lowerTranslation);
+ b2Log(" jd.upperTranslation = %.15lef;\n", m_upperTranslation);
+ b2Log(" jd.enableMotor = bool(%d);\n", m_enableMotor);
+ b2Log(" jd.motorSpeed = %.15lef;\n", m_motorSpeed);
+ b2Log(" jd.maxMotorForce = %.15lef;\n", m_maxMotorForce);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.h
new file mode 100644
index 0000000..131dffd
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2PrismaticJoint.h
@@ -0,0 +1,196 @@
+/*
+* Copyright (c) 2006-2011 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_PRISMATIC_JOINT_H
+#define B2_PRISMATIC_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Prismatic joint definition. This requires defining a line of
+/// motion using an axis and an anchor point. The definition uses local
+/// anchor points and a local axis so that the initial configuration
+/// can violate the constraint slightly. The joint translation is zero
+/// when the local anchor points coincide in world space. Using local
+/// anchors and a local axis helps when saving and loading a game.
+struct b2PrismaticJointDef : public b2JointDef
+{
+ b2PrismaticJointDef()
+ {
+ type = e_prismaticJoint;
+ localAnchorA.SetZero();
+ localAnchorB.SetZero();
+ localAxisA.Set(1.0f, 0.0f);
+ referenceAngle = 0.0f;
+ enableLimit = false;
+ lowerTranslation = 0.0f;
+ upperTranslation = 0.0f;
+ enableMotor = false;
+ maxMotorForce = 0.0f;
+ motorSpeed = 0.0f;
+ }
+
+ /// Initialize the bodies, anchors, axis, and reference angle using the world
+ /// anchor and unit world axis.
+ void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor, const b2Vec2& axis);
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The local translation unit axis in bodyA.
+ b2Vec2 localAxisA;
+
+ /// The constrained angle between the bodies: bodyB_angle - bodyA_angle.
+ float32 referenceAngle;
+
+ /// Enable/disable the joint limit.
+ bool enableLimit;
+
+ /// The lower translation limit, usually in meters.
+ float32 lowerTranslation;
+
+ /// The upper translation limit, usually in meters.
+ float32 upperTranslation;
+
+ /// Enable/disable the joint motor.
+ bool enableMotor;
+
+ /// The maximum motor torque, usually in N-m.
+ float32 maxMotorForce;
+
+ /// The desired motor speed in radians per second.
+ float32 motorSpeed;
+};
+
+/// A prismatic joint. This joint provides one degree of freedom: translation
+/// along an axis fixed in bodyA. Relative rotation is prevented. You can
+/// use a joint limit to restrict the range of motion and a joint motor to
+/// drive the motion or to model joint friction.
+class b2PrismaticJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// The local anchor point relative to bodyA's origin.
+ const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
+
+ /// The local anchor point relative to bodyB's origin.
+ const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
+
+ /// The local joint axis relative to bodyA.
+ const b2Vec2& GetLocalAxisA() const { return m_localXAxisA; }
+
+ /// Get the reference angle.
+ float32 GetReferenceAngle() const { return m_referenceAngle; }
+
+ /// Get the current joint translation, usually in meters.
+ float32 GetJointTranslation() const;
+
+ /// Get the current joint translation speed, usually in meters per second.
+ float32 GetJointSpeed() const;
+
+ /// Is the joint limit enabled?
+ bool IsLimitEnabled() const;
+
+ /// Enable/disable the joint limit.
+ void EnableLimit(bool flag);
+
+ /// Get the lower joint limit, usually in meters.
+ float32 GetLowerLimit() const;
+
+ /// Get the upper joint limit, usually in meters.
+ float32 GetUpperLimit() const;
+
+ /// Set the joint limits, usually in meters.
+ void SetLimits(float32 lower, float32 upper);
+
+ /// Is the joint motor enabled?
+ bool IsMotorEnabled() const;
+
+ /// Enable/disable the joint motor.
+ void EnableMotor(bool flag);
+
+ /// Set the motor speed, usually in meters per second.
+ void SetMotorSpeed(float32 speed);
+
+ /// Get the motor speed, usually in meters per second.
+ float32 GetMotorSpeed() const;
+
+ /// Set the maximum motor force, usually in N.
+ void SetMaxMotorForce(float32 force);
+ float32 GetMaxMotorForce() const { return m_maxMotorForce; }
+
+ /// Get the current motor force given the inverse time step, usually in N.
+ float32 GetMotorForce(float32 inv_dt) const;
+
+ /// Dump to b2Log
+ void Dump() override;
+
+protected:
+ friend class b2Joint;
+ friend class b2GearJoint;
+ b2PrismaticJoint(const b2PrismaticJointDef* def);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ b2Vec2 m_localXAxisA;
+ b2Vec2 m_localYAxisA;
+ float32 m_referenceAngle;
+ b2Vec3 m_impulse;
+ float32 m_motorImpulse;
+ float32 m_lowerTranslation;
+ float32 m_upperTranslation;
+ float32 m_maxMotorForce;
+ float32 m_motorSpeed;
+ bool m_enableLimit;
+ bool m_enableMotor;
+ b2LimitState m_limitState;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ b2Vec2 m_axis, m_perp;
+ float32 m_s1, m_s2;
+ float32 m_a1, m_a2;
+ b2Mat33 m_K;
+ float32 m_motorMass;
+};
+
+inline float32 b2PrismaticJoint::GetMotorSpeed() const
+{
+ return m_motorSpeed;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.cpp
new file mode 100644
index 0000000..1525f41
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.cpp
@@ -0,0 +1,348 @@
+/*
+* Copyright (c) 2007 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 "Box2D/Dynamics/Joints/b2PulleyJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Pulley:
+// length1 = norm(p1 - s1)
+// length2 = norm(p2 - s2)
+// C0 = (length1 + ratio * length2)_initial
+// C = C0 - (length1 + ratio * length2)
+// u1 = (p1 - s1) / norm(p1 - s1)
+// u2 = (p2 - s2) / norm(p2 - s2)
+// Cdot = -dot(u1, v1 + cross(w1, r1)) - ratio * dot(u2, v2 + cross(w2, r2))
+// J = -[u1 cross(r1, u1) ratio * u2 ratio * cross(r2, u2)]
+// K = J * invM * JT
+// = invMass1 + invI1 * cross(r1, u1)^2 + ratio^2 * (invMass2 + invI2 * cross(r2, u2)^2)
+
+void b2PulleyJointDef::Initialize(b2Body* bA, b2Body* bB,
+ const b2Vec2& groundA, const b2Vec2& groundB,
+ const b2Vec2& anchorA, const b2Vec2& anchorB,
+ float32 r)
+{
+ bodyA = bA;
+ bodyB = bB;
+ groundAnchorA = groundA;
+ groundAnchorB = groundB;
+ localAnchorA = bodyA->GetLocalPoint(anchorA);
+ localAnchorB = bodyB->GetLocalPoint(anchorB);
+ b2Vec2 dA = anchorA - groundA;
+ lengthA = dA.Length();
+ b2Vec2 dB = anchorB - groundB;
+ lengthB = dB.Length();
+ ratio = r;
+ b2Assert(ratio > b2_epsilon);
+}
+
+b2PulleyJoint::b2PulleyJoint(const b2PulleyJointDef* def)
+: b2Joint(def)
+{
+ m_groundAnchorA = def->groundAnchorA;
+ m_groundAnchorB = def->groundAnchorB;
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+
+ m_lengthA = def->lengthA;
+ m_lengthB = def->lengthB;
+
+ b2Assert(def->ratio != 0.0f);
+ m_ratio = def->ratio;
+
+ m_constant = def->lengthA + m_ratio * def->lengthB;
+
+ m_impulse = 0.0f;
+}
+
+void b2PulleyJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ m_rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ // Get the pulley axes.
+ m_uA = cA + m_rA - m_groundAnchorA;
+ m_uB = cB + m_rB - m_groundAnchorB;
+
+ float32 lengthA = m_uA.Length();
+ float32 lengthB = m_uB.Length();
+
+ if (lengthA > 10.0f * b2_linearSlop)
+ {
+ m_uA *= 1.0f / lengthA;
+ }
+ else
+ {
+ m_uA.SetZero();
+ }
+
+ if (lengthB > 10.0f * b2_linearSlop)
+ {
+ m_uB *= 1.0f / lengthB;
+ }
+ else
+ {
+ m_uB.SetZero();
+ }
+
+ // Compute effective mass.
+ float32 ruA = b2Cross(m_rA, m_uA);
+ float32 ruB = b2Cross(m_rB, m_uB);
+
+ float32 mA = m_invMassA + m_invIA * ruA * ruA;
+ float32 mB = m_invMassB + m_invIB * ruB * ruB;
+
+ m_mass = mA + m_ratio * m_ratio * mB;
+
+ if (m_mass > 0.0f)
+ {
+ m_mass = 1.0f / m_mass;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Scale impulses to support variable time steps.
+ m_impulse *= data.step.dtRatio;
+
+ // Warm starting.
+ b2Vec2 PA = -(m_impulse) * m_uA;
+ b2Vec2 PB = (-m_ratio * m_impulse) * m_uB;
+
+ vA += m_invMassA * PA;
+ wA += m_invIA * b2Cross(m_rA, PA);
+ vB += m_invMassB * PB;
+ wB += m_invIB * b2Cross(m_rB, PB);
+ }
+ else
+ {
+ m_impulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2PulleyJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Vec2 vpA = vA + b2Cross(wA, m_rA);
+ b2Vec2 vpB = vB + b2Cross(wB, m_rB);
+
+ float32 Cdot = -b2Dot(m_uA, vpA) - m_ratio * b2Dot(m_uB, vpB);
+ float32 impulse = -m_mass * Cdot;
+ m_impulse += impulse;
+
+ b2Vec2 PA = -impulse * m_uA;
+ b2Vec2 PB = -m_ratio * impulse * m_uB;
+ vA += m_invMassA * PA;
+ wA += m_invIA * b2Cross(m_rA, PA);
+ vB += m_invMassB * PB;
+ wB += m_invIB * b2Cross(m_rB, PB);
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2PulleyJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+
+ b2Rot qA(aA), qB(aB);
+
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ // Get the pulley axes.
+ b2Vec2 uA = cA + rA - m_groundAnchorA;
+ b2Vec2 uB = cB + rB - m_groundAnchorB;
+
+ float32 lengthA = uA.Length();
+ float32 lengthB = uB.Length();
+
+ if (lengthA > 10.0f * b2_linearSlop)
+ {
+ uA *= 1.0f / lengthA;
+ }
+ else
+ {
+ uA.SetZero();
+ }
+
+ if (lengthB > 10.0f * b2_linearSlop)
+ {
+ uB *= 1.0f / lengthB;
+ }
+ else
+ {
+ uB.SetZero();
+ }
+
+ // Compute effective mass.
+ float32 ruA = b2Cross(rA, uA);
+ float32 ruB = b2Cross(rB, uB);
+
+ float32 mA = m_invMassA + m_invIA * ruA * ruA;
+ float32 mB = m_invMassB + m_invIB * ruB * ruB;
+
+ float32 mass = mA + m_ratio * m_ratio * mB;
+
+ if (mass > 0.0f)
+ {
+ mass = 1.0f / mass;
+ }
+
+ float32 C = m_constant - lengthA - m_ratio * lengthB;
+ float32 linearError = b2Abs(C);
+
+ float32 impulse = -mass * C;
+
+ b2Vec2 PA = -impulse * uA;
+ b2Vec2 PB = -m_ratio * impulse * uB;
+
+ cA += m_invMassA * PA;
+ aA += m_invIA * b2Cross(rA, PA);
+ cB += m_invMassB * PB;
+ aB += m_invIB * b2Cross(rB, PB);
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+
+ return linearError < b2_linearSlop;
+}
+
+b2Vec2 b2PulleyJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2PulleyJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2PulleyJoint::GetReactionForce(float32 inv_dt) const
+{
+ b2Vec2 P = m_impulse * m_uB;
+ return inv_dt * P;
+}
+
+float32 b2PulleyJoint::GetReactionTorque(float32 inv_dt) const
+{
+ B2_NOT_USED(inv_dt);
+ return 0.0f;
+}
+
+b2Vec2 b2PulleyJoint::GetGroundAnchorA() const
+{
+ return m_groundAnchorA;
+}
+
+b2Vec2 b2PulleyJoint::GetGroundAnchorB() const
+{
+ return m_groundAnchorB;
+}
+
+float32 b2PulleyJoint::GetLengthA() const
+{
+ return m_lengthA;
+}
+
+float32 b2PulleyJoint::GetLengthB() const
+{
+ return m_lengthB;
+}
+
+float32 b2PulleyJoint::GetRatio() const
+{
+ return m_ratio;
+}
+
+float32 b2PulleyJoint::GetCurrentLengthA() const
+{
+ b2Vec2 p = m_bodyA->GetWorldPoint(m_localAnchorA);
+ b2Vec2 s = m_groundAnchorA;
+ b2Vec2 d = p - s;
+ return d.Length();
+}
+
+float32 b2PulleyJoint::GetCurrentLengthB() const
+{
+ b2Vec2 p = m_bodyB->GetWorldPoint(m_localAnchorB);
+ b2Vec2 s = m_groundAnchorB;
+ b2Vec2 d = p - s;
+ return d.Length();
+}
+
+void b2PulleyJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2PulleyJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.groundAnchorA.Set(%.15lef, %.15lef);\n", m_groundAnchorA.x, m_groundAnchorA.y);
+ b2Log(" jd.groundAnchorB.Set(%.15lef, %.15lef);\n", m_groundAnchorB.x, m_groundAnchorB.y);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.lengthA = %.15lef;\n", m_lengthA);
+ b2Log(" jd.lengthB = %.15lef;\n", m_lengthB);
+ b2Log(" jd.ratio = %.15lef;\n", m_ratio);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
+
+void b2PulleyJoint::ShiftOrigin(const b2Vec2& newOrigin)
+{
+ m_groundAnchorA -= newOrigin;
+ m_groundAnchorB -= newOrigin;
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.h
new file mode 100644
index 0000000..71c759b
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2PulleyJoint.h
@@ -0,0 +1,152 @@
+/*
+* Copyright (c) 2006-2011 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_PULLEY_JOINT_H
+#define B2_PULLEY_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+const float32 b2_minPulleyLength = 2.0f;
+
+/// Pulley joint definition. This requires two ground anchors,
+/// two dynamic body anchor points, and a pulley ratio.
+struct b2PulleyJointDef : public b2JointDef
+{
+ b2PulleyJointDef()
+ {
+ type = e_pulleyJoint;
+ groundAnchorA.Set(-1.0f, 1.0f);
+ groundAnchorB.Set(1.0f, 1.0f);
+ localAnchorA.Set(-1.0f, 0.0f);
+ localAnchorB.Set(1.0f, 0.0f);
+ lengthA = 0.0f;
+ lengthB = 0.0f;
+ ratio = 1.0f;
+ collideConnected = true;
+ }
+
+ /// Initialize the bodies, anchors, lengths, max lengths, and ratio using the world anchors.
+ void Initialize(b2Body* bodyA, b2Body* bodyB,
+ const b2Vec2& groundAnchorA, const b2Vec2& groundAnchorB,
+ const b2Vec2& anchorA, const b2Vec2& anchorB,
+ float32 ratio);
+
+ /// The first ground anchor in world coordinates. This point never moves.
+ b2Vec2 groundAnchorA;
+
+ /// The second ground anchor in world coordinates. This point never moves.
+ b2Vec2 groundAnchorB;
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The a reference length for the segment attached to bodyA.
+ float32 lengthA;
+
+ /// The a reference length for the segment attached to bodyB.
+ float32 lengthB;
+
+ /// The pulley ratio, used to simulate a block-and-tackle.
+ float32 ratio;
+};
+
+/// The pulley joint is connected to two bodies and two fixed ground points.
+/// The pulley supports a ratio such that:
+/// length1 + ratio * length2 <= constant
+/// Yes, the force transmitted is scaled by the ratio.
+/// Warning: the pulley joint can get a bit squirrelly by itself. They often
+/// work better when combined with prismatic joints. You should also cover the
+/// the anchor points with static shapes to prevent one side from going to
+/// zero length.
+class b2PulleyJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// Get the first ground anchor.
+ b2Vec2 GetGroundAnchorA() const;
+
+ /// Get the second ground anchor.
+ b2Vec2 GetGroundAnchorB() const;
+
+ /// Get the current length of the segment attached to bodyA.
+ float32 GetLengthA() const;
+
+ /// Get the current length of the segment attached to bodyB.
+ float32 GetLengthB() const;
+
+ /// Get the pulley ratio.
+ float32 GetRatio() const;
+
+ /// Get the current length of the segment attached to bodyA.
+ float32 GetCurrentLengthA() const;
+
+ /// Get the current length of the segment attached to bodyB.
+ float32 GetCurrentLengthB() const;
+
+ /// Dump joint to dmLog
+ void Dump() override;
+
+ /// Implement b2Joint::ShiftOrigin
+ void ShiftOrigin(const b2Vec2& newOrigin) override;
+
+protected:
+
+ friend class b2Joint;
+ b2PulleyJoint(const b2PulleyJointDef* data);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ b2Vec2 m_groundAnchorA;
+ b2Vec2 m_groundAnchorB;
+ float32 m_lengthA;
+ float32 m_lengthB;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ float32 m_constant;
+ float32 m_ratio;
+ float32 m_impulse;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_uA;
+ b2Vec2 m_uB;
+ b2Vec2 m_rA;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ float32 m_mass;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.cpp
new file mode 100644
index 0000000..b3f7ee5
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.cpp
@@ -0,0 +1,511 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Dynamics/Joints/b2RevoluteJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Point-to-point constraint
+// C = p2 - p1
+// Cdot = v2 - v1
+// = v2 + cross(w2, r2) - v1 - cross(w1, r1)
+// J = [-I -r1_skew I r2_skew ]
+// Identity used:
+// w k % (rx i + ry j) = w * (-ry i + rx j)
+
+// Motor constraint
+// Cdot = w2 - w1
+// J = [0 0 -1 0 0 1]
+// K = invI1 + invI2
+
+void b2RevoluteJointDef::Initialize(b2Body* bA, b2Body* bB, const b2Vec2& anchor)
+{
+ bodyA = bA;
+ bodyB = bB;
+ localAnchorA = bodyA->GetLocalPoint(anchor);
+ localAnchorB = bodyB->GetLocalPoint(anchor);
+ referenceAngle = bodyB->GetAngle() - bodyA->GetAngle();
+}
+
+b2RevoluteJoint::b2RevoluteJoint(const b2RevoluteJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+ m_referenceAngle = def->referenceAngle;
+
+ m_impulse.SetZero();
+ m_motorImpulse = 0.0f;
+
+ m_lowerAngle = def->lowerAngle;
+ m_upperAngle = def->upperAngle;
+ m_maxMotorTorque = def->maxMotorTorque;
+ m_motorSpeed = def->motorSpeed;
+ m_enableLimit = def->enableLimit;
+ m_enableMotor = def->enableMotor;
+ m_limitState = e_inactiveLimit;
+}
+
+void b2RevoluteJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ m_rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ // J = [-I -r1_skew I r2_skew]
+ // [ 0 -1 0 1]
+ // r_skew = [-ry; rx]
+
+ // Matlab
+ // K = [ mA+r1y^2*iA+mB+r2y^2*iB, -r1y*iA*r1x-r2y*iB*r2x, -r1y*iA-r2y*iB]
+ // [ -r1y*iA*r1x-r2y*iB*r2x, mA+r1x^2*iA+mB+r2x^2*iB, r1x*iA+r2x*iB]
+ // [ -r1y*iA-r2y*iB, r1x*iA+r2x*iB, iA+iB]
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ bool fixedRotation = (iA + iB == 0.0f);
+
+ m_mass.ex.x = mA + mB + m_rA.y * m_rA.y * iA + m_rB.y * m_rB.y * iB;
+ m_mass.ey.x = -m_rA.y * m_rA.x * iA - m_rB.y * m_rB.x * iB;
+ m_mass.ez.x = -m_rA.y * iA - m_rB.y * iB;
+ m_mass.ex.y = m_mass.ey.x;
+ m_mass.ey.y = mA + mB + m_rA.x * m_rA.x * iA + m_rB.x * m_rB.x * iB;
+ m_mass.ez.y = m_rA.x * iA + m_rB.x * iB;
+ m_mass.ex.z = m_mass.ez.x;
+ m_mass.ey.z = m_mass.ez.y;
+ m_mass.ez.z = iA + iB;
+
+ m_motorMass = iA + iB;
+ if (m_motorMass > 0.0f)
+ {
+ m_motorMass = 1.0f / m_motorMass;
+ }
+
+ if (m_enableMotor == false || fixedRotation)
+ {
+ m_motorImpulse = 0.0f;
+ }
+
+ if (m_enableLimit && fixedRotation == false)
+ {
+ float32 jointAngle = aB - aA - m_referenceAngle;
+ if (b2Abs(m_upperAngle - m_lowerAngle) < 2.0f * b2_angularSlop)
+ {
+ m_limitState = e_equalLimits;
+ }
+ else if (jointAngle <= m_lowerAngle)
+ {
+ if (m_limitState != e_atLowerLimit)
+ {
+ m_impulse.z = 0.0f;
+ }
+ m_limitState = e_atLowerLimit;
+ }
+ else if (jointAngle >= m_upperAngle)
+ {
+ if (m_limitState != e_atUpperLimit)
+ {
+ m_impulse.z = 0.0f;
+ }
+ m_limitState = e_atUpperLimit;
+ }
+ else
+ {
+ m_limitState = e_inactiveLimit;
+ m_impulse.z = 0.0f;
+ }
+ }
+ else
+ {
+ m_limitState = e_inactiveLimit;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Scale impulses to support a variable time step.
+ m_impulse *= data.step.dtRatio;
+ m_motorImpulse *= data.step.dtRatio;
+
+ b2Vec2 P(m_impulse.x, m_impulse.y);
+
+ vA -= mA * P;
+ wA -= iA * (b2Cross(m_rA, P) + m_motorImpulse + m_impulse.z);
+
+ vB += mB * P;
+ wB += iB * (b2Cross(m_rB, P) + m_motorImpulse + m_impulse.z);
+ }
+ else
+ {
+ m_impulse.SetZero();
+ m_motorImpulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2RevoluteJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ bool fixedRotation = (iA + iB == 0.0f);
+
+ // Solve motor constraint.
+ if (m_enableMotor && m_limitState != e_equalLimits && fixedRotation == false)
+ {
+ float32 Cdot = wB - wA - m_motorSpeed;
+ float32 impulse = -m_motorMass * Cdot;
+ float32 oldImpulse = m_motorImpulse;
+ float32 maxImpulse = data.step.dt * m_maxMotorTorque;
+ m_motorImpulse = b2Clamp(m_motorImpulse + impulse, -maxImpulse, maxImpulse);
+ impulse = m_motorImpulse - oldImpulse;
+
+ wA -= iA * impulse;
+ wB += iB * impulse;
+ }
+
+ // Solve limit constraint.
+ if (m_enableLimit && m_limitState != e_inactiveLimit && fixedRotation == false)
+ {
+ b2Vec2 Cdot1 = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
+ float32 Cdot2 = wB - wA;
+ b2Vec3 Cdot(Cdot1.x, Cdot1.y, Cdot2);
+
+ b2Vec3 impulse = -m_mass.Solve33(Cdot);
+
+ if (m_limitState == e_equalLimits)
+ {
+ m_impulse += impulse;
+ }
+ else if (m_limitState == e_atLowerLimit)
+ {
+ float32 newImpulse = m_impulse.z + impulse.z;
+ if (newImpulse < 0.0f)
+ {
+ b2Vec2 rhs = -Cdot1 + m_impulse.z * b2Vec2(m_mass.ez.x, m_mass.ez.y);
+ b2Vec2 reduced = m_mass.Solve22(rhs);
+ impulse.x = reduced.x;
+ impulse.y = reduced.y;
+ impulse.z = -m_impulse.z;
+ m_impulse.x += reduced.x;
+ m_impulse.y += reduced.y;
+ m_impulse.z = 0.0f;
+ }
+ else
+ {
+ m_impulse += impulse;
+ }
+ }
+ else if (m_limitState == e_atUpperLimit)
+ {
+ float32 newImpulse = m_impulse.z + impulse.z;
+ if (newImpulse > 0.0f)
+ {
+ b2Vec2 rhs = -Cdot1 + m_impulse.z * b2Vec2(m_mass.ez.x, m_mass.ez.y);
+ b2Vec2 reduced = m_mass.Solve22(rhs);
+ impulse.x = reduced.x;
+ impulse.y = reduced.y;
+ impulse.z = -m_impulse.z;
+ m_impulse.x += reduced.x;
+ m_impulse.y += reduced.y;
+ m_impulse.z = 0.0f;
+ }
+ else
+ {
+ m_impulse += impulse;
+ }
+ }
+
+ b2Vec2 P(impulse.x, impulse.y);
+
+ vA -= mA * P;
+ wA -= iA * (b2Cross(m_rA, P) + impulse.z);
+
+ vB += mB * P;
+ wB += iB * (b2Cross(m_rB, P) + impulse.z);
+ }
+ else
+ {
+ // Solve point-to-point constraint
+ b2Vec2 Cdot = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
+ b2Vec2 impulse = m_mass.Solve22(-Cdot);
+
+ m_impulse.x += impulse.x;
+ m_impulse.y += impulse.y;
+
+ vA -= mA * impulse;
+ wA -= iA * b2Cross(m_rA, impulse);
+
+ vB += mB * impulse;
+ wB += iB * b2Cross(m_rB, impulse);
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2RevoluteJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+
+ b2Rot qA(aA), qB(aB);
+
+ float32 angularError = 0.0f;
+ float32 positionError = 0.0f;
+
+ bool fixedRotation = (m_invIA + m_invIB == 0.0f);
+
+ // Solve angular limit constraint.
+ if (m_enableLimit && m_limitState != e_inactiveLimit && fixedRotation == false)
+ {
+ float32 angle = aB - aA - m_referenceAngle;
+ float32 limitImpulse = 0.0f;
+
+ if (m_limitState == e_equalLimits)
+ {
+ // Prevent large angular corrections
+ float32 C = b2Clamp(angle - m_lowerAngle, -b2_maxAngularCorrection, b2_maxAngularCorrection);
+ limitImpulse = -m_motorMass * C;
+ angularError = b2Abs(C);
+ }
+ else if (m_limitState == e_atLowerLimit)
+ {
+ float32 C = angle - m_lowerAngle;
+ angularError = -C;
+
+ // Prevent large angular corrections and allow some slop.
+ C = b2Clamp(C + b2_angularSlop, -b2_maxAngularCorrection, 0.0f);
+ limitImpulse = -m_motorMass * C;
+ }
+ else if (m_limitState == e_atUpperLimit)
+ {
+ float32 C = angle - m_upperAngle;
+ angularError = C;
+
+ // Prevent large angular corrections and allow some slop.
+ C = b2Clamp(C - b2_angularSlop, 0.0f, b2_maxAngularCorrection);
+ limitImpulse = -m_motorMass * C;
+ }
+
+ aA -= m_invIA * limitImpulse;
+ aB += m_invIB * limitImpulse;
+ }
+
+ // Solve point-to-point constraint.
+ {
+ qA.Set(aA);
+ qB.Set(aB);
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ b2Vec2 C = cB + rB - cA - rA;
+ positionError = C.Length();
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ b2Mat22 K;
+ K.ex.x = mA + mB + iA * rA.y * rA.y + iB * rB.y * rB.y;
+ K.ex.y = -iA * rA.x * rA.y - iB * rB.x * rB.y;
+ K.ey.x = K.ex.y;
+ K.ey.y = mA + mB + iA * rA.x * rA.x + iB * rB.x * rB.x;
+
+ b2Vec2 impulse = -K.Solve(C);
+
+ cA -= mA * impulse;
+ aA -= iA * b2Cross(rA, impulse);
+
+ cB += mB * impulse;
+ aB += iB * b2Cross(rB, impulse);
+ }
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+
+ return positionError <= b2_linearSlop && angularError <= b2_angularSlop;
+}
+
+b2Vec2 b2RevoluteJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2RevoluteJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2RevoluteJoint::GetReactionForce(float32 inv_dt) const
+{
+ b2Vec2 P(m_impulse.x, m_impulse.y);
+ return inv_dt * P;
+}
+
+float32 b2RevoluteJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * m_impulse.z;
+}
+
+float32 b2RevoluteJoint::GetJointAngle() const
+{
+ b2Body* bA = m_bodyA;
+ b2Body* bB = m_bodyB;
+ return bB->m_sweep.a - bA->m_sweep.a - m_referenceAngle;
+}
+
+float32 b2RevoluteJoint::GetJointSpeed() const
+{
+ b2Body* bA = m_bodyA;
+ b2Body* bB = m_bodyB;
+ return bB->m_angularVelocity - bA->m_angularVelocity;
+}
+
+bool b2RevoluteJoint::IsMotorEnabled() const
+{
+ return m_enableMotor;
+}
+
+void b2RevoluteJoint::EnableMotor(bool flag)
+{
+ if (flag != m_enableMotor)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_enableMotor = flag;
+ }
+}
+
+float32 b2RevoluteJoint::GetMotorTorque(float32 inv_dt) const
+{
+ return inv_dt * m_motorImpulse;
+}
+
+void b2RevoluteJoint::SetMotorSpeed(float32 speed)
+{
+ if (speed != m_motorSpeed)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_motorSpeed = speed;
+ }
+}
+
+void b2RevoluteJoint::SetMaxMotorTorque(float32 torque)
+{
+ if (torque != m_maxMotorTorque)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_maxMotorTorque = torque;
+ }
+}
+
+bool b2RevoluteJoint::IsLimitEnabled() const
+{
+ return m_enableLimit;
+}
+
+void b2RevoluteJoint::EnableLimit(bool flag)
+{
+ if (flag != m_enableLimit)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_enableLimit = flag;
+ m_impulse.z = 0.0f;
+ }
+}
+
+float32 b2RevoluteJoint::GetLowerLimit() const
+{
+ return m_lowerAngle;
+}
+
+float32 b2RevoluteJoint::GetUpperLimit() const
+{
+ return m_upperAngle;
+}
+
+void b2RevoluteJoint::SetLimits(float32 lower, float32 upper)
+{
+ b2Assert(lower <= upper);
+
+ if (lower != m_lowerAngle || upper != m_upperAngle)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_impulse.z = 0.0f;
+ m_lowerAngle = lower;
+ m_upperAngle = upper;
+ }
+}
+
+void b2RevoluteJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2RevoluteJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.referenceAngle = %.15lef;\n", m_referenceAngle);
+ b2Log(" jd.enableLimit = bool(%d);\n", m_enableLimit);
+ b2Log(" jd.lowerAngle = %.15lef;\n", m_lowerAngle);
+ b2Log(" jd.upperAngle = %.15lef;\n", m_upperAngle);
+ b2Log(" jd.enableMotor = bool(%d);\n", m_enableMotor);
+ b2Log(" jd.motorSpeed = %.15lef;\n", m_motorSpeed);
+ b2Log(" jd.maxMotorTorque = %.15lef;\n", m_maxMotorTorque);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.h
new file mode 100644
index 0000000..06b1455
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2RevoluteJoint.h
@@ -0,0 +1,204 @@
+/*
+* Copyright (c) 2006-2011 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_REVOLUTE_JOINT_H
+#define B2_REVOLUTE_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Revolute joint definition. This requires defining an
+/// anchor point where the bodies are joined. The definition
+/// uses local anchor points so that the initial configuration
+/// can violate the constraint slightly. You also need to
+/// specify the initial relative angle for joint limits. This
+/// helps when saving and loading a game.
+/// The local anchor points are measured from the body's origin
+/// rather than the center of mass because:
+/// 1. you might not know where the center of mass will be.
+/// 2. if you add/remove shapes from a body and recompute the mass,
+/// the joints will be broken.
+struct b2RevoluteJointDef : public b2JointDef
+{
+ b2RevoluteJointDef()
+ {
+ type = e_revoluteJoint;
+ localAnchorA.Set(0.0f, 0.0f);
+ localAnchorB.Set(0.0f, 0.0f);
+ referenceAngle = 0.0f;
+ lowerAngle = 0.0f;
+ upperAngle = 0.0f;
+ maxMotorTorque = 0.0f;
+ motorSpeed = 0.0f;
+ enableLimit = false;
+ enableMotor = false;
+ }
+
+ /// Initialize the bodies, anchors, and reference angle using a world
+ /// anchor point.
+ void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor);
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The bodyB angle minus bodyA angle in the reference state (radians).
+ float32 referenceAngle;
+
+ /// A flag to enable joint limits.
+ bool enableLimit;
+
+ /// The lower angle for the joint limit (radians).
+ float32 lowerAngle;
+
+ /// The upper angle for the joint limit (radians).
+ float32 upperAngle;
+
+ /// A flag to enable the joint motor.
+ bool enableMotor;
+
+ /// The desired motor speed. Usually in radians per second.
+ float32 motorSpeed;
+
+ /// The maximum motor torque used to achieve the desired motor speed.
+ /// Usually in N-m.
+ float32 maxMotorTorque;
+};
+
+/// A revolute joint constrains two bodies to share a common point while they
+/// are free to rotate about the point. The relative rotation about the shared
+/// point is the joint angle. You can limit the relative rotation with
+/// a joint limit that specifies a lower and upper angle. You can use a motor
+/// to drive the relative rotation about the shared point. A maximum motor torque
+/// is provided so that infinite forces are not generated.
+class b2RevoluteJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ /// The local anchor point relative to bodyA's origin.
+ const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
+
+ /// The local anchor point relative to bodyB's origin.
+ const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
+
+ /// Get the reference angle.
+ float32 GetReferenceAngle() const { return m_referenceAngle; }
+
+ /// Get the current joint angle in radians.
+ float32 GetJointAngle() const;
+
+ /// Get the current joint angle speed in radians per second.
+ float32 GetJointSpeed() const;
+
+ /// Is the joint limit enabled?
+ bool IsLimitEnabled() const;
+
+ /// Enable/disable the joint limit.
+ void EnableLimit(bool flag);
+
+ /// Get the lower joint limit in radians.
+ float32 GetLowerLimit() const;
+
+ /// Get the upper joint limit in radians.
+ float32 GetUpperLimit() const;
+
+ /// Set the joint limits in radians.
+ void SetLimits(float32 lower, float32 upper);
+
+ /// Is the joint motor enabled?
+ bool IsMotorEnabled() const;
+
+ /// Enable/disable the joint motor.
+ void EnableMotor(bool flag);
+
+ /// Set the motor speed in radians per second.
+ void SetMotorSpeed(float32 speed);
+
+ /// Get the motor speed in radians per second.
+ float32 GetMotorSpeed() const;
+
+ /// Set the maximum motor torque, usually in N-m.
+ void SetMaxMotorTorque(float32 torque);
+ float32 GetMaxMotorTorque() const { return m_maxMotorTorque; }
+
+ /// Get the reaction force given the inverse time step.
+ /// Unit is N.
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+
+ /// Get the reaction torque due to the joint limit given the inverse time step.
+ /// Unit is N*m.
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// Get the current motor torque given the inverse time step.
+ /// Unit is N*m.
+ float32 GetMotorTorque(float32 inv_dt) const;
+
+ /// Dump to b2Log.
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+ friend class b2GearJoint;
+
+ b2RevoluteJoint(const b2RevoluteJointDef* def);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ b2Vec3 m_impulse;
+ float32 m_motorImpulse;
+
+ bool m_enableMotor;
+ float32 m_maxMotorTorque;
+ float32 m_motorSpeed;
+
+ bool m_enableLimit;
+ float32 m_referenceAngle;
+ float32 m_lowerAngle;
+ float32 m_upperAngle;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_rA;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ b2Mat33 m_mass; // effective mass for point-to-point constraint.
+ float32 m_motorMass; // effective mass for motor/limit angular constraint.
+ b2LimitState m_limitState;
+};
+
+inline float32 b2RevoluteJoint::GetMotorSpeed() const
+{
+ return m_motorSpeed;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.cpp
new file mode 100644
index 0000000..86d27e7
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.cpp
@@ -0,0 +1,241 @@
+/*
+* Copyright (c) 2007-2011 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 "Box2D/Dynamics/Joints/b2RopeJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+
+// Limit:
+// C = norm(pB - pA) - L
+// u = (pB - pA) / norm(pB - pA)
+// Cdot = dot(u, vB + cross(wB, rB) - vA - cross(wA, rA))
+// J = [-u -cross(rA, u) u cross(rB, u)]
+// K = J * invM * JT
+// = invMassA + invIA * cross(rA, u)^2 + invMassB + invIB * cross(rB, u)^2
+
+b2RopeJoint::b2RopeJoint(const b2RopeJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+
+ m_maxLength = def->maxLength;
+
+ m_mass = 0.0f;
+ m_impulse = 0.0f;
+ m_state = e_inactiveLimit;
+ m_length = 0.0f;
+}
+
+void b2RopeJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ m_rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ m_u = cB + m_rB - cA - m_rA;
+
+ m_length = m_u.Length();
+
+ float32 C = m_length - m_maxLength;
+ if (C > 0.0f)
+ {
+ m_state = e_atUpperLimit;
+ }
+ else
+ {
+ m_state = e_inactiveLimit;
+ }
+
+ if (m_length > b2_linearSlop)
+ {
+ m_u *= 1.0f / m_length;
+ }
+ else
+ {
+ m_u.SetZero();
+ m_mass = 0.0f;
+ m_impulse = 0.0f;
+ return;
+ }
+
+ // Compute effective mass.
+ float32 crA = b2Cross(m_rA, m_u);
+ float32 crB = b2Cross(m_rB, m_u);
+ float32 invMass = m_invMassA + m_invIA * crA * crA + m_invMassB + m_invIB * crB * crB;
+
+ m_mass = invMass != 0.0f ? 1.0f / invMass : 0.0f;
+
+ if (data.step.warmStarting)
+ {
+ // Scale the impulse to support a variable time step.
+ m_impulse *= data.step.dtRatio;
+
+ b2Vec2 P = m_impulse * m_u;
+ vA -= m_invMassA * P;
+ wA -= m_invIA * b2Cross(m_rA, P);
+ vB += m_invMassB * P;
+ wB += m_invIB * b2Cross(m_rB, P);
+ }
+ else
+ {
+ m_impulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2RopeJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ // Cdot = dot(u, v + cross(w, r))
+ b2Vec2 vpA = vA + b2Cross(wA, m_rA);
+ b2Vec2 vpB = vB + b2Cross(wB, m_rB);
+ float32 C = m_length - m_maxLength;
+ float32 Cdot = b2Dot(m_u, vpB - vpA);
+
+ // Predictive constraint.
+ if (C < 0.0f)
+ {
+ Cdot += data.step.inv_dt * C;
+ }
+
+ float32 impulse = -m_mass * Cdot;
+ float32 oldImpulse = m_impulse;
+ m_impulse = b2Min(0.0f, m_impulse + impulse);
+ impulse = m_impulse - oldImpulse;
+
+ b2Vec2 P = impulse * m_u;
+ vA -= m_invMassA * P;
+ wA -= m_invIA * b2Cross(m_rA, P);
+ vB += m_invMassB * P;
+ wB += m_invIB * b2Cross(m_rB, P);
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2RopeJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+
+ b2Rot qA(aA), qB(aB);
+
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ b2Vec2 u = cB + rB - cA - rA;
+
+ float32 length = u.Normalize();
+ float32 C = length - m_maxLength;
+
+ C = b2Clamp(C, 0.0f, b2_maxLinearCorrection);
+
+ float32 impulse = -m_mass * C;
+ b2Vec2 P = impulse * u;
+
+ cA -= m_invMassA * P;
+ aA -= m_invIA * b2Cross(rA, P);
+ cB += m_invMassB * P;
+ aB += m_invIB * b2Cross(rB, P);
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+
+ return length - m_maxLength < b2_linearSlop;
+}
+
+b2Vec2 b2RopeJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2RopeJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2RopeJoint::GetReactionForce(float32 inv_dt) const
+{
+ b2Vec2 F = (inv_dt * m_impulse) * m_u;
+ return F;
+}
+
+float32 b2RopeJoint::GetReactionTorque(float32 inv_dt) const
+{
+ B2_NOT_USED(inv_dt);
+ return 0.0f;
+}
+
+float32 b2RopeJoint::GetMaxLength() const
+{
+ return m_maxLength;
+}
+
+b2LimitState b2RopeJoint::GetLimitState() const
+{
+ return m_state;
+}
+
+void b2RopeJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2RopeJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.maxLength = %.15lef;\n", m_maxLength);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.h
new file mode 100644
index 0000000..ef5d6f7
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2RopeJoint.h
@@ -0,0 +1,114 @@
+/*
+* Copyright (c) 2006-2011 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_ROPE_JOINT_H
+#define B2_ROPE_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Rope joint definition. This requires two body anchor points and
+/// a maximum lengths.
+/// Note: by default the connected objects will not collide.
+/// see collideConnected in b2JointDef.
+struct b2RopeJointDef : public b2JointDef
+{
+ b2RopeJointDef()
+ {
+ type = e_ropeJoint;
+ localAnchorA.Set(-1.0f, 0.0f);
+ localAnchorB.Set(1.0f, 0.0f);
+ maxLength = 0.0f;
+ }
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The maximum length of the rope.
+ /// Warning: this must be larger than b2_linearSlop or
+ /// the joint will have no effect.
+ float32 maxLength;
+};
+
+/// A rope joint enforces a maximum distance between two points
+/// on two bodies. It has no other effect.
+/// Warning: if you attempt to change the maximum length during
+/// the simulation you will get some non-physical behavior.
+/// A model that would allow you to dynamically modify the length
+/// would have some sponginess, so I chose not to implement it
+/// that way. See b2DistanceJoint if you want to dynamically
+/// control length.
+class b2RopeJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// The local anchor point relative to bodyA's origin.
+ const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
+
+ /// The local anchor point relative to bodyB's origin.
+ const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
+
+ /// Set/Get the maximum length of the rope.
+ void SetMaxLength(float32 length) { m_maxLength = length; }
+ float32 GetMaxLength() const;
+
+ b2LimitState GetLimitState() const;
+
+ /// Dump joint to dmLog
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+ b2RopeJoint(const b2RopeJointDef* data);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ float32 m_maxLength;
+ float32 m_length;
+ float32 m_impulse;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_u;
+ b2Vec2 m_rA;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ float32 m_mass;
+ b2LimitState m_state;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.cpp
new file mode 100644
index 0000000..b10cee8
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.cpp
@@ -0,0 +1,344 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Dynamics/Joints/b2WeldJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Point-to-point constraint
+// C = p2 - p1
+// Cdot = v2 - v1
+// = v2 + cross(w2, r2) - v1 - cross(w1, r1)
+// J = [-I -r1_skew I r2_skew ]
+// Identity used:
+// w k % (rx i + ry j) = w * (-ry i + rx j)
+
+// Angle constraint
+// C = angle2 - angle1 - referenceAngle
+// Cdot = w2 - w1
+// J = [0 0 -1 0 0 1]
+// K = invI1 + invI2
+
+void b2WeldJointDef::Initialize(b2Body* bA, b2Body* bB, const b2Vec2& anchor)
+{
+ bodyA = bA;
+ bodyB = bB;
+ localAnchorA = bodyA->GetLocalPoint(anchor);
+ localAnchorB = bodyB->GetLocalPoint(anchor);
+ referenceAngle = bodyB->GetAngle() - bodyA->GetAngle();
+}
+
+b2WeldJoint::b2WeldJoint(const b2WeldJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+ m_referenceAngle = def->referenceAngle;
+ m_frequencyHz = def->frequencyHz;
+ m_dampingRatio = def->dampingRatio;
+
+ m_impulse.SetZero();
+}
+
+void b2WeldJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ m_rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ // J = [-I -r1_skew I r2_skew]
+ // [ 0 -1 0 1]
+ // r_skew = [-ry; rx]
+
+ // Matlab
+ // K = [ mA+r1y^2*iA+mB+r2y^2*iB, -r1y*iA*r1x-r2y*iB*r2x, -r1y*iA-r2y*iB]
+ // [ -r1y*iA*r1x-r2y*iB*r2x, mA+r1x^2*iA+mB+r2x^2*iB, r1x*iA+r2x*iB]
+ // [ -r1y*iA-r2y*iB, r1x*iA+r2x*iB, iA+iB]
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ b2Mat33 K;
+ K.ex.x = mA + mB + m_rA.y * m_rA.y * iA + m_rB.y * m_rB.y * iB;
+ K.ey.x = -m_rA.y * m_rA.x * iA - m_rB.y * m_rB.x * iB;
+ K.ez.x = -m_rA.y * iA - m_rB.y * iB;
+ K.ex.y = K.ey.x;
+ K.ey.y = mA + mB + m_rA.x * m_rA.x * iA + m_rB.x * m_rB.x * iB;
+ K.ez.y = m_rA.x * iA + m_rB.x * iB;
+ K.ex.z = K.ez.x;
+ K.ey.z = K.ez.y;
+ K.ez.z = iA + iB;
+
+ if (m_frequencyHz > 0.0f)
+ {
+ K.GetInverse22(&m_mass);
+
+ float32 invM = iA + iB;
+ float32 m = invM > 0.0f ? 1.0f / invM : 0.0f;
+
+ float32 C = aB - aA - m_referenceAngle;
+
+ // Frequency
+ float32 omega = 2.0f * b2_pi * m_frequencyHz;
+
+ // Damping coefficient
+ float32 d = 2.0f * m * m_dampingRatio * omega;
+
+ // Spring stiffness
+ float32 k = m * omega * omega;
+
+ // magic formulas
+ float32 h = data.step.dt;
+ m_gamma = h * (d + h * k);
+ m_gamma = m_gamma != 0.0f ? 1.0f / m_gamma : 0.0f;
+ m_bias = C * h * k * m_gamma;
+
+ invM += m_gamma;
+ m_mass.ez.z = invM != 0.0f ? 1.0f / invM : 0.0f;
+ }
+ else if (K.ez.z == 0.0f)
+ {
+ K.GetInverse22(&m_mass);
+ m_gamma = 0.0f;
+ m_bias = 0.0f;
+ }
+ else
+ {
+ K.GetSymInverse33(&m_mass);
+ m_gamma = 0.0f;
+ m_bias = 0.0f;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Scale impulses to support a variable time step.
+ m_impulse *= data.step.dtRatio;
+
+ b2Vec2 P(m_impulse.x, m_impulse.y);
+
+ vA -= mA * P;
+ wA -= iA * (b2Cross(m_rA, P) + m_impulse.z);
+
+ vB += mB * P;
+ wB += iB * (b2Cross(m_rB, P) + m_impulse.z);
+ }
+ else
+ {
+ m_impulse.SetZero();
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2WeldJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ if (m_frequencyHz > 0.0f)
+ {
+ float32 Cdot2 = wB - wA;
+
+ float32 impulse2 = -m_mass.ez.z * (Cdot2 + m_bias + m_gamma * m_impulse.z);
+ m_impulse.z += impulse2;
+
+ wA -= iA * impulse2;
+ wB += iB * impulse2;
+
+ b2Vec2 Cdot1 = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
+
+ b2Vec2 impulse1 = -b2Mul22(m_mass, Cdot1);
+ m_impulse.x += impulse1.x;
+ m_impulse.y += impulse1.y;
+
+ b2Vec2 P = impulse1;
+
+ vA -= mA * P;
+ wA -= iA * b2Cross(m_rA, P);
+
+ vB += mB * P;
+ wB += iB * b2Cross(m_rB, P);
+ }
+ else
+ {
+ b2Vec2 Cdot1 = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
+ float32 Cdot2 = wB - wA;
+ b2Vec3 Cdot(Cdot1.x, Cdot1.y, Cdot2);
+
+ b2Vec3 impulse = -b2Mul(m_mass, Cdot);
+ m_impulse += impulse;
+
+ b2Vec2 P(impulse.x, impulse.y);
+
+ vA -= mA * P;
+ wA -= iA * (b2Cross(m_rA, P) + impulse.z);
+
+ vB += mB * P;
+ wB += iB * (b2Cross(m_rB, P) + impulse.z);
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2WeldJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+
+ b2Rot qA(aA), qB(aB);
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ float32 positionError, angularError;
+
+ b2Mat33 K;
+ K.ex.x = mA + mB + rA.y * rA.y * iA + rB.y * rB.y * iB;
+ K.ey.x = -rA.y * rA.x * iA - rB.y * rB.x * iB;
+ K.ez.x = -rA.y * iA - rB.y * iB;
+ K.ex.y = K.ey.x;
+ K.ey.y = mA + mB + rA.x * rA.x * iA + rB.x * rB.x * iB;
+ K.ez.y = rA.x * iA + rB.x * iB;
+ K.ex.z = K.ez.x;
+ K.ey.z = K.ez.y;
+ K.ez.z = iA + iB;
+
+ if (m_frequencyHz > 0.0f)
+ {
+ b2Vec2 C1 = cB + rB - cA - rA;
+
+ positionError = C1.Length();
+ angularError = 0.0f;
+
+ b2Vec2 P = -K.Solve22(C1);
+
+ cA -= mA * P;
+ aA -= iA * b2Cross(rA, P);
+
+ cB += mB * P;
+ aB += iB * b2Cross(rB, P);
+ }
+ else
+ {
+ b2Vec2 C1 = cB + rB - cA - rA;
+ float32 C2 = aB - aA - m_referenceAngle;
+
+ positionError = C1.Length();
+ angularError = b2Abs(C2);
+
+ b2Vec3 C(C1.x, C1.y, C2);
+
+ b2Vec3 impulse;
+ if (K.ez.z > 0.0f)
+ {
+ impulse = -K.Solve33(C);
+ }
+ else
+ {
+ b2Vec2 impulse2 = -K.Solve22(C1);
+ impulse.Set(impulse2.x, impulse2.y, 0.0f);
+ }
+
+ b2Vec2 P(impulse.x, impulse.y);
+
+ cA -= mA * P;
+ aA -= iA * (b2Cross(rA, P) + impulse.z);
+
+ cB += mB * P;
+ aB += iB * (b2Cross(rB, P) + impulse.z);
+ }
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+
+ return positionError <= b2_linearSlop && angularError <= b2_angularSlop;
+}
+
+b2Vec2 b2WeldJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2WeldJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2WeldJoint::GetReactionForce(float32 inv_dt) const
+{
+ b2Vec2 P(m_impulse.x, m_impulse.y);
+ return inv_dt * P;
+}
+
+float32 b2WeldJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * m_impulse.z;
+}
+
+void b2WeldJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2WeldJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.referenceAngle = %.15lef;\n", m_referenceAngle);
+ b2Log(" jd.frequencyHz = %.15lef;\n", m_frequencyHz);
+ b2Log(" jd.dampingRatio = %.15lef;\n", m_dampingRatio);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.h
new file mode 100644
index 0000000..81ba235
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2WeldJoint.h
@@ -0,0 +1,126 @@
+/*
+* Copyright (c) 2006-2011 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_WELD_JOINT_H
+#define B2_WELD_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Weld joint definition. You need to specify local anchor points
+/// where they are attached and the relative body angle. The position
+/// of the anchor points is important for computing the reaction torque.
+struct b2WeldJointDef : public b2JointDef
+{
+ b2WeldJointDef()
+ {
+ type = e_weldJoint;
+ localAnchorA.Set(0.0f, 0.0f);
+ localAnchorB.Set(0.0f, 0.0f);
+ referenceAngle = 0.0f;
+ frequencyHz = 0.0f;
+ dampingRatio = 0.0f;
+ }
+
+ /// Initialize the bodies, anchors, and reference angle using a world
+ /// anchor point.
+ void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor);
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The bodyB angle minus bodyA angle in the reference state (radians).
+ float32 referenceAngle;
+
+ /// The mass-spring-damper frequency in Hertz. Rotation only.
+ /// Disable softness with a value of 0.
+ float32 frequencyHz;
+
+ /// The damping ratio. 0 = no damping, 1 = critical damping.
+ float32 dampingRatio;
+};
+
+/// A weld joint essentially glues two bodies together. A weld joint may
+/// distort somewhat because the island constraint solver is approximate.
+class b2WeldJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// The local anchor point relative to bodyA's origin.
+ const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
+
+ /// The local anchor point relative to bodyB's origin.
+ const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
+
+ /// Get the reference angle.
+ float32 GetReferenceAngle() const { return m_referenceAngle; }
+
+ /// Set/get frequency in Hz.
+ void SetFrequency(float32 hz) { m_frequencyHz = hz; }
+ float32 GetFrequency() const { return m_frequencyHz; }
+
+ /// Set/get damping ratio.
+ void SetDampingRatio(float32 ratio) { m_dampingRatio = ratio; }
+ float32 GetDampingRatio() const { return m_dampingRatio; }
+
+ /// Dump to b2Log
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+
+ b2WeldJoint(const b2WeldJointDef* def);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ float32 m_frequencyHz;
+ float32 m_dampingRatio;
+ float32 m_bias;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ float32 m_referenceAngle;
+ float32 m_gamma;
+ b2Vec3 m_impulse;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_rA;
+ b2Vec2 m_rB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+ b2Mat33 m_mass;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.cpp
new file mode 100644
index 0000000..a95311e
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.cpp
@@ -0,0 +1,456 @@
+/*
+* Copyright (c) 2006-2007 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 "Box2D/Dynamics/Joints/b2WheelJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Linear constraint (point-to-line)
+// d = pB - pA = xB + rB - xA - rA
+// C = dot(ay, d)
+// Cdot = dot(d, cross(wA, ay)) + dot(ay, vB + cross(wB, rB) - vA - cross(wA, rA))
+// = -dot(ay, vA) - dot(cross(d + rA, ay), wA) + dot(ay, vB) + dot(cross(rB, ay), vB)
+// J = [-ay, -cross(d + rA, ay), ay, cross(rB, ay)]
+
+// Spring linear constraint
+// C = dot(ax, d)
+// Cdot = = -dot(ax, vA) - dot(cross(d + rA, ax), wA) + dot(ax, vB) + dot(cross(rB, ax), vB)
+// J = [-ax -cross(d+rA, ax) ax cross(rB, ax)]
+
+// Motor rotational constraint
+// Cdot = wB - wA
+// J = [0 0 -1 0 0 1]
+
+void b2WheelJointDef::Initialize(b2Body* bA, b2Body* bB, const b2Vec2& anchor, const b2Vec2& axis)
+{
+ bodyA = bA;
+ bodyB = bB;
+ localAnchorA = bodyA->GetLocalPoint(anchor);
+ localAnchorB = bodyB->GetLocalPoint(anchor);
+ localAxisA = bodyA->GetLocalVector(axis);
+}
+
+b2WheelJoint::b2WheelJoint(const b2WheelJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+ m_localXAxisA = def->localAxisA;
+ m_localYAxisA = b2Cross(1.0f, m_localXAxisA);
+
+ m_mass = 0.0f;
+ m_impulse = 0.0f;
+ m_motorMass = 0.0f;
+ m_motorImpulse = 0.0f;
+ m_springMass = 0.0f;
+ m_springImpulse = 0.0f;
+
+ m_maxMotorTorque = def->maxMotorTorque;
+ m_motorSpeed = def->motorSpeed;
+ m_enableMotor = def->enableMotor;
+
+ m_frequencyHz = def->frequencyHz;
+ m_dampingRatio = def->dampingRatio;
+
+ m_bias = 0.0f;
+ m_gamma = 0.0f;
+
+ m_ax.SetZero();
+ m_ay.SetZero();
+}
+
+void b2WheelJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ // Compute the effective masses.
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ b2Vec2 d = cB + rB - cA - rA;
+
+ // Point to line constraint
+ {
+ m_ay = b2Mul(qA, m_localYAxisA);
+ m_sAy = b2Cross(d + rA, m_ay);
+ m_sBy = b2Cross(rB, m_ay);
+
+ m_mass = mA + mB + iA * m_sAy * m_sAy + iB * m_sBy * m_sBy;
+
+ if (m_mass > 0.0f)
+ {
+ m_mass = 1.0f / m_mass;
+ }
+ }
+
+ // Spring constraint
+ m_springMass = 0.0f;
+ m_bias = 0.0f;
+ m_gamma = 0.0f;
+ if (m_frequencyHz > 0.0f)
+ {
+ m_ax = b2Mul(qA, m_localXAxisA);
+ m_sAx = b2Cross(d + rA, m_ax);
+ m_sBx = b2Cross(rB, m_ax);
+
+ float32 invMass = mA + mB + iA * m_sAx * m_sAx + iB * m_sBx * m_sBx;
+
+ if (invMass > 0.0f)
+ {
+ m_springMass = 1.0f / invMass;
+
+ float32 C = b2Dot(d, m_ax);
+
+ // Frequency
+ float32 omega = 2.0f * b2_pi * m_frequencyHz;
+
+ // Damping coefficient
+ float32 damp = 2.0f * m_springMass * m_dampingRatio * omega;
+
+ // Spring stiffness
+ float32 k = m_springMass * omega * omega;
+
+ // magic formulas
+ float32 h = data.step.dt;
+ m_gamma = h * (damp + h * k);
+ if (m_gamma > 0.0f)
+ {
+ m_gamma = 1.0f / m_gamma;
+ }
+
+ m_bias = C * h * k * m_gamma;
+
+ m_springMass = invMass + m_gamma;
+ if (m_springMass > 0.0f)
+ {
+ m_springMass = 1.0f / m_springMass;
+ }
+ }
+ }
+ else
+ {
+ m_springImpulse = 0.0f;
+ }
+
+ // Rotational motor
+ if (m_enableMotor)
+ {
+ m_motorMass = iA + iB;
+ if (m_motorMass > 0.0f)
+ {
+ m_motorMass = 1.0f / m_motorMass;
+ }
+ }
+ else
+ {
+ m_motorMass = 0.0f;
+ m_motorImpulse = 0.0f;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Account for variable time step.
+ m_impulse *= data.step.dtRatio;
+ m_springImpulse *= data.step.dtRatio;
+ m_motorImpulse *= data.step.dtRatio;
+
+ b2Vec2 P = m_impulse * m_ay + m_springImpulse * m_ax;
+ float32 LA = m_impulse * m_sAy + m_springImpulse * m_sAx + m_motorImpulse;
+ float32 LB = m_impulse * m_sBy + m_springImpulse * m_sBx + m_motorImpulse;
+
+ vA -= m_invMassA * P;
+ wA -= m_invIA * LA;
+
+ vB += m_invMassB * P;
+ wB += m_invIB * LB;
+ }
+ else
+ {
+ m_impulse = 0.0f;
+ m_springImpulse = 0.0f;
+ m_motorImpulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2WheelJoint::SolveVelocityConstraints(const b2SolverData& data)
+{
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ // Solve spring constraint
+ {
+ float32 Cdot = b2Dot(m_ax, vB - vA) + m_sBx * wB - m_sAx * wA;
+ float32 impulse = -m_springMass * (Cdot + m_bias + m_gamma * m_springImpulse);
+ m_springImpulse += impulse;
+
+ b2Vec2 P = impulse * m_ax;
+ float32 LA = impulse * m_sAx;
+ float32 LB = impulse * m_sBx;
+
+ vA -= mA * P;
+ wA -= iA * LA;
+
+ vB += mB * P;
+ wB += iB * LB;
+ }
+
+ // Solve rotational motor constraint
+ {
+ float32 Cdot = wB - wA - m_motorSpeed;
+ float32 impulse = -m_motorMass * Cdot;
+
+ float32 oldImpulse = m_motorImpulse;
+ float32 maxImpulse = data.step.dt * m_maxMotorTorque;
+ m_motorImpulse = b2Clamp(m_motorImpulse + impulse, -maxImpulse, maxImpulse);
+ impulse = m_motorImpulse - oldImpulse;
+
+ wA -= iA * impulse;
+ wB += iB * impulse;
+ }
+
+ // Solve point to line constraint
+ {
+ float32 Cdot = b2Dot(m_ay, vB - vA) + m_sBy * wB - m_sAy * wA;
+ float32 impulse = -m_mass * Cdot;
+ m_impulse += impulse;
+
+ b2Vec2 P = impulse * m_ay;
+ float32 LA = impulse * m_sAy;
+ float32 LB = impulse * m_sBy;
+
+ vA -= mA * P;
+ wA -= iA * LA;
+
+ vB += mB * P;
+ wB += iB * LB;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+bool b2WheelJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+
+ b2Rot qA(aA), qB(aB);
+
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+ b2Vec2 d = (cB - cA) + rB - rA;
+
+ b2Vec2 ay = b2Mul(qA, m_localYAxisA);
+
+ float32 sAy = b2Cross(d + rA, ay);
+ float32 sBy = b2Cross(rB, ay);
+
+ float32 C = b2Dot(d, ay);
+
+ float32 k = m_invMassA + m_invMassB + m_invIA * m_sAy * m_sAy + m_invIB * m_sBy * m_sBy;
+
+ float32 impulse;
+ if (k != 0.0f)
+ {
+ impulse = - C / k;
+ }
+ else
+ {
+ impulse = 0.0f;
+ }
+
+ b2Vec2 P = impulse * ay;
+ float32 LA = impulse * sAy;
+ float32 LB = impulse * sBy;
+
+ cA -= m_invMassA * P;
+ aA -= m_invIA * LA;
+ cB += m_invMassB * P;
+ aB += m_invIB * LB;
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+
+ return b2Abs(C) <= b2_linearSlop;
+}
+
+b2Vec2 b2WheelJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2WheelJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2WheelJoint::GetReactionForce(float32 inv_dt) const
+{
+ return inv_dt * (m_impulse * m_ay + m_springImpulse * m_ax);
+}
+
+float32 b2WheelJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * m_motorImpulse;
+}
+
+float32 b2WheelJoint::GetJointTranslation() const
+{
+ b2Body* bA = m_bodyA;
+ b2Body* bB = m_bodyB;
+
+ b2Vec2 pA = bA->GetWorldPoint(m_localAnchorA);
+ b2Vec2 pB = bB->GetWorldPoint(m_localAnchorB);
+ b2Vec2 d = pB - pA;
+ b2Vec2 axis = bA->GetWorldVector(m_localXAxisA);
+
+ float32 translation = b2Dot(d, axis);
+ return translation;
+}
+
+float32 b2WheelJoint::GetJointLinearSpeed() const
+{
+ b2Body* bA = m_bodyA;
+ b2Body* bB = m_bodyB;
+
+ b2Vec2 rA = b2Mul(bA->m_xf.q, m_localAnchorA - bA->m_sweep.localCenter);
+ b2Vec2 rB = b2Mul(bB->m_xf.q, m_localAnchorB - bB->m_sweep.localCenter);
+ b2Vec2 p1 = bA->m_sweep.c + rA;
+ b2Vec2 p2 = bB->m_sweep.c + rB;
+ b2Vec2 d = p2 - p1;
+ b2Vec2 axis = b2Mul(bA->m_xf.q, m_localXAxisA);
+
+ b2Vec2 vA = bA->m_linearVelocity;
+ b2Vec2 vB = bB->m_linearVelocity;
+ float32 wA = bA->m_angularVelocity;
+ float32 wB = bB->m_angularVelocity;
+
+ float32 speed = b2Dot(d, b2Cross(wA, axis)) + b2Dot(axis, vB + b2Cross(wB, rB) - vA - b2Cross(wA, rA));
+ return speed;
+}
+
+float32 b2WheelJoint::GetJointAngle() const
+{
+ b2Body* bA = m_bodyA;
+ b2Body* bB = m_bodyB;
+ return bB->m_sweep.a - bA->m_sweep.a;
+}
+
+float32 b2WheelJoint::GetJointAngularSpeed() const
+{
+ float32 wA = m_bodyA->m_angularVelocity;
+ float32 wB = m_bodyB->m_angularVelocity;
+ return wB - wA;
+}
+
+bool b2WheelJoint::IsMotorEnabled() const
+{
+ return m_enableMotor;
+}
+
+void b2WheelJoint::EnableMotor(bool flag)
+{
+ if (flag != m_enableMotor)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_enableMotor = flag;
+ }
+}
+
+void b2WheelJoint::SetMotorSpeed(float32 speed)
+{
+ if (speed != m_motorSpeed)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_motorSpeed = speed;
+ }
+}
+
+void b2WheelJoint::SetMaxMotorTorque(float32 torque)
+{
+ if (torque != m_maxMotorTorque)
+ {
+ m_bodyA->SetAwake(true);
+ m_bodyB->SetAwake(true);
+ m_maxMotorTorque = torque;
+ }
+}
+
+float32 b2WheelJoint::GetMotorTorque(float32 inv_dt) const
+{
+ return inv_dt * m_motorImpulse;
+}
+
+void b2WheelJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2WheelJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.localAxisA.Set(%.15lef, %.15lef);\n", m_localXAxisA.x, m_localXAxisA.y);
+ b2Log(" jd.enableMotor = bool(%d);\n", m_enableMotor);
+ b2Log(" jd.motorSpeed = %.15lef;\n", m_motorSpeed);
+ b2Log(" jd.maxMotorTorque = %.15lef;\n", m_maxMotorTorque);
+ b2Log(" jd.frequencyHz = %.15lef;\n", m_frequencyHz);
+ b2Log(" jd.dampingRatio = %.15lef;\n", m_dampingRatio);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.h b/src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.h
new file mode 100644
index 0000000..be7ad66
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2WheelJoint.h
@@ -0,0 +1,216 @@
+/*
+* Copyright (c) 2006-2011 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_WHEEL_JOINT_H
+#define B2_WHEEL_JOINT_H
+
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+/// Wheel joint definition. This requires defining a line of
+/// motion using an axis and an anchor point. The definition uses local
+/// anchor points and a local axis so that the initial configuration
+/// can violate the constraint slightly. The joint translation is zero
+/// when the local anchor points coincide in world space. Using local
+/// anchors and a local axis helps when saving and loading a game.
+struct b2WheelJointDef : public b2JointDef
+{
+ b2WheelJointDef()
+ {
+ type = e_wheelJoint;
+ localAnchorA.SetZero();
+ localAnchorB.SetZero();
+ localAxisA.Set(1.0f, 0.0f);
+ enableMotor = false;
+ maxMotorTorque = 0.0f;
+ motorSpeed = 0.0f;
+ frequencyHz = 2.0f;
+ dampingRatio = 0.7f;
+ }
+
+ /// Initialize the bodies, anchors, axis, and reference angle using the world
+ /// anchor and world axis.
+ void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor, const b2Vec2& axis);
+
+ /// The local anchor point relative to bodyA's origin.
+ b2Vec2 localAnchorA;
+
+ /// The local anchor point relative to bodyB's origin.
+ b2Vec2 localAnchorB;
+
+ /// The local translation axis in bodyA.
+ b2Vec2 localAxisA;
+
+ /// Enable/disable the joint motor.
+ bool enableMotor;
+
+ /// The maximum motor torque, usually in N-m.
+ float32 maxMotorTorque;
+
+ /// The desired motor speed in radians per second.
+ float32 motorSpeed;
+
+ /// Suspension frequency, zero indicates no suspension
+ float32 frequencyHz;
+
+ /// Suspension damping ratio, one indicates critical damping
+ float32 dampingRatio;
+};
+
+/// A wheel joint. This joint provides two degrees of freedom: translation
+/// along an axis fixed in bodyA and rotation in the plane. In other words, it is a point to
+/// line constraint with a rotational motor and a linear spring/damper.
+/// This joint is designed for vehicle suspensions.
+class b2WheelJoint : public b2Joint
+{
+public:
+ b2Vec2 GetAnchorA() const override;
+ b2Vec2 GetAnchorB() const override;
+
+ b2Vec2 GetReactionForce(float32 inv_dt) const override;
+ float32 GetReactionTorque(float32 inv_dt) const override;
+
+ /// The local anchor point relative to bodyA's origin.
+ const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
+
+ /// The local anchor point relative to bodyB's origin.
+ const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
+
+ /// The local joint axis relative to bodyA.
+ const b2Vec2& GetLocalAxisA() const { return m_localXAxisA; }
+
+ /// Get the current joint translation, usually in meters.
+ float32 GetJointTranslation() const;
+
+ /// Get the current joint linear speed, usually in meters per second.
+ float32 GetJointLinearSpeed() const;
+
+ /// Get the current joint angle in radians.
+ float32 GetJointAngle() const;
+
+ /// Get the current joint angular speed in radians per second.
+ float32 GetJointAngularSpeed() const;
+
+ /// Is the joint motor enabled?
+ bool IsMotorEnabled() const;
+
+ /// Enable/disable the joint motor.
+ void EnableMotor(bool flag);
+
+ /// Set the motor speed, usually in radians per second.
+ void SetMotorSpeed(float32 speed);
+
+ /// Get the motor speed, usually in radians per second.
+ float32 GetMotorSpeed() const;
+
+ /// Set/Get the maximum motor force, usually in N-m.
+ void SetMaxMotorTorque(float32 torque);
+ float32 GetMaxMotorTorque() const;
+
+ /// Get the current motor torque given the inverse time step, usually in N-m.
+ float32 GetMotorTorque(float32 inv_dt) const;
+
+ /// Set/Get the spring frequency in hertz. Setting the frequency to zero disables the spring.
+ void SetSpringFrequencyHz(float32 hz);
+ float32 GetSpringFrequencyHz() const;
+
+ /// Set/Get the spring damping ratio
+ void SetSpringDampingRatio(float32 ratio);
+ float32 GetSpringDampingRatio() const;
+
+ /// Dump to b2Log
+ void Dump() override;
+
+protected:
+
+ friend class b2Joint;
+ b2WheelJoint(const b2WheelJointDef* def);
+
+ void InitVelocityConstraints(const b2SolverData& data) override;
+ void SolveVelocityConstraints(const b2SolverData& data) override;
+ bool SolvePositionConstraints(const b2SolverData& data) override;
+
+ float32 m_frequencyHz;
+ float32 m_dampingRatio;
+
+ // Solver shared
+ b2Vec2 m_localAnchorA;
+ b2Vec2 m_localAnchorB;
+ b2Vec2 m_localXAxisA;
+ b2Vec2 m_localYAxisA;
+
+ float32 m_impulse;
+ float32 m_motorImpulse;
+ float32 m_springImpulse;
+
+ float32 m_maxMotorTorque;
+ float32 m_motorSpeed;
+ bool m_enableMotor;
+
+ // Solver temp
+ int32 m_indexA;
+ int32 m_indexB;
+ b2Vec2 m_localCenterA;
+ b2Vec2 m_localCenterB;
+ float32 m_invMassA;
+ float32 m_invMassB;
+ float32 m_invIA;
+ float32 m_invIB;
+
+ b2Vec2 m_ax, m_ay;
+ float32 m_sAx, m_sBx;
+ float32 m_sAy, m_sBy;
+
+ float32 m_mass;
+ float32 m_motorMass;
+ float32 m_springMass;
+
+ float32 m_bias;
+ float32 m_gamma;
+};
+
+inline float32 b2WheelJoint::GetMotorSpeed() const
+{
+ return m_motorSpeed;
+}
+
+inline float32 b2WheelJoint::GetMaxMotorTorque() const
+{
+ return m_maxMotorTorque;
+}
+
+inline void b2WheelJoint::SetSpringFrequencyHz(float32 hz)
+{
+ m_frequencyHz = hz;
+}
+
+inline float32 b2WheelJoint::GetSpringFrequencyHz() const
+{
+ return m_frequencyHz;
+}
+
+inline void b2WheelJoint::SetSpringDampingRatio(float32 ratio)
+{
+ m_dampingRatio = ratio;
+}
+
+inline float32 b2WheelJoint::GetSpringDampingRatio() const
+{
+ return m_dampingRatio;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/b2Body.cpp b/src/3rdparty/Box2D/Dynamics/b2Body.cpp
new file mode 100644
index 0000000..54154b8
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2Body.cpp
@@ -0,0 +1,554 @@
+/*
+* Copyright (c) 2006-2007 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 "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2World.h"
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+
+b2Body::b2Body(const b2BodyDef* bd, b2World* world)
+{
+ b2Assert(bd->position.IsValid());
+ b2Assert(bd->linearVelocity.IsValid());
+ b2Assert(b2IsValid(bd->angle));
+ b2Assert(b2IsValid(bd->angularVelocity));
+ b2Assert(b2IsValid(bd->angularDamping) && bd->angularDamping >= 0.0f);
+ b2Assert(b2IsValid(bd->linearDamping) && bd->linearDamping >= 0.0f);
+
+ m_flags = 0;
+
+ if (bd->bullet)
+ {
+ m_flags |= e_bulletFlag;
+ }
+ if (bd->fixedRotation)
+ {
+ m_flags |= e_fixedRotationFlag;
+ }
+ if (bd->allowSleep)
+ {
+ m_flags |= e_autoSleepFlag;
+ }
+ if (bd->awake)
+ {
+ m_flags |= e_awakeFlag;
+ }
+ if (bd->active)
+ {
+ m_flags |= e_activeFlag;
+ }
+
+ m_world = world;
+
+ m_xf.p = bd->position;
+ m_xf.q.Set(bd->angle);
+
+ m_sweep.localCenter.SetZero();
+ m_sweep.c0 = m_xf.p;
+ m_sweep.c = m_xf.p;
+ m_sweep.a0 = bd->angle;
+ m_sweep.a = bd->angle;
+ m_sweep.alpha0 = 0.0f;
+
+ m_jointList = nullptr;
+ m_contactList = nullptr;
+ m_prev = nullptr;
+ m_next = nullptr;
+
+ m_linearVelocity = bd->linearVelocity;
+ m_angularVelocity = bd->angularVelocity;
+
+ m_linearDamping = bd->linearDamping;
+ m_angularDamping = bd->angularDamping;
+ m_gravityScale = bd->gravityScale;
+
+ m_force.SetZero();
+ m_torque = 0.0f;
+
+ m_sleepTime = 0.0f;
+
+ m_type = bd->type;
+
+ if (m_type == b2_dynamicBody)
+ {
+ m_mass = 1.0f;
+ m_invMass = 1.0f;
+ }
+ else
+ {
+ m_mass = 0.0f;
+ m_invMass = 0.0f;
+ }
+
+ m_I = 0.0f;
+ m_invI = 0.0f;
+
+ m_userData = bd->userData;
+
+ m_fixtureList = nullptr;
+ m_fixtureCount = 0;
+}
+
+b2Body::~b2Body()
+{
+ // shapes and joints are destroyed in b2World::Destroy
+}
+
+void b2Body::SetType(b2BodyType type)
+{
+ b2Assert(m_world->IsLocked() == false);
+ if (m_world->IsLocked() == true)
+ {
+ return;
+ }
+
+ if (m_type == type)
+ {
+ return;
+ }
+
+ m_type = type;
+
+ ResetMassData();
+
+ if (m_type == b2_staticBody)
+ {
+ m_linearVelocity.SetZero();
+ m_angularVelocity = 0.0f;
+ m_sweep.a0 = m_sweep.a;
+ m_sweep.c0 = m_sweep.c;
+ SynchronizeFixtures();
+ }
+
+ SetAwake(true);
+
+ m_force.SetZero();
+ m_torque = 0.0f;
+
+ // Delete the attached contacts.
+ b2ContactEdge* ce = m_contactList;
+ while (ce)
+ {
+ b2ContactEdge* ce0 = ce;
+ ce = ce->next;
+ m_world->m_contactManager.Destroy(ce0->contact);
+ }
+ m_contactList = nullptr;
+
+ // Touch the proxies so that new contacts will be created (when appropriate)
+ b2BroadPhase* broadPhase = &m_world->m_contactManager.m_broadPhase;
+ for (b2Fixture* f = m_fixtureList; f; f = f->m_next)
+ {
+ int32 proxyCount = f->m_proxyCount;
+ for (int32 i = 0; i < proxyCount; ++i)
+ {
+ broadPhase->TouchProxy(f->m_proxies[i].proxyId);
+ }
+ }
+}
+
+b2Fixture* b2Body::CreateFixture(const b2FixtureDef* def)
+{
+ b2Assert(m_world->IsLocked() == false);
+ if (m_world->IsLocked() == true)
+ {
+ return nullptr;
+ }
+
+ b2BlockAllocator* allocator = &m_world->m_blockAllocator;
+
+ void* memory = allocator->Allocate(sizeof(b2Fixture));
+ b2Fixture* fixture = new (memory) b2Fixture;
+ fixture->Create(allocator, this, def);
+
+ if (m_flags & e_activeFlag)
+ {
+ b2BroadPhase* broadPhase = &m_world->m_contactManager.m_broadPhase;
+ fixture->CreateProxies(broadPhase, m_xf);
+ }
+
+ fixture->m_next = m_fixtureList;
+ m_fixtureList = fixture;
+ ++m_fixtureCount;
+
+ fixture->m_body = this;
+
+ // Adjust mass properties if needed.
+ if (fixture->m_density > 0.0f)
+ {
+ ResetMassData();
+ }
+
+ // Let the world know we have a new fixture. This will cause new contacts
+ // to be created at the beginning of the next time step.
+ m_world->m_flags |= b2World::e_newFixture;
+
+ return fixture;
+}
+
+b2Fixture* b2Body::CreateFixture(const b2Shape* shape, float32 density)
+{
+ b2FixtureDef def;
+ def.shape = shape;
+ def.density = density;
+
+ return CreateFixture(&def);
+}
+
+void b2Body::DestroyFixture(b2Fixture* fixture)
+{
+ if (fixture == NULL)
+ {
+ return;
+ }
+
+ b2Assert(m_world->IsLocked() == false);
+ if (m_world->IsLocked() == true)
+ {
+ return;
+ }
+
+ b2Assert(fixture->m_body == this);
+
+ // Remove the fixture from this body's singly linked list.
+ b2Assert(m_fixtureCount > 0);
+ b2Fixture** node = &m_fixtureList;
+ bool found = false;
+ while (*node != nullptr)
+ {
+ if (*node == fixture)
+ {
+ *node = fixture->m_next;
+ found = true;
+ break;
+ }
+
+ node = &(*node)->m_next;
+ }
+
+ // You tried to remove a shape that is not attached to this body.
+ b2Assert(found);
+
+ // Destroy any contacts associated with the fixture.
+ b2ContactEdge* edge = m_contactList;
+ while (edge)
+ {
+ b2Contact* c = edge->contact;
+ edge = edge->next;
+
+ b2Fixture* fixtureA = c->GetFixtureA();
+ b2Fixture* fixtureB = c->GetFixtureB();
+
+ if (fixture == fixtureA || fixture == fixtureB)
+ {
+ // This destroys the contact and removes it from
+ // this body's contact list.
+ m_world->m_contactManager.Destroy(c);
+ }
+ }
+
+ b2BlockAllocator* allocator = &m_world->m_blockAllocator;
+
+ if (m_flags & e_activeFlag)
+ {
+ b2BroadPhase* broadPhase = &m_world->m_contactManager.m_broadPhase;
+ fixture->DestroyProxies(broadPhase);
+ }
+
+ fixture->m_body = nullptr;
+ fixture->m_next = nullptr;
+ fixture->Destroy(allocator);
+ fixture->~b2Fixture();
+ allocator->Free(fixture, sizeof(b2Fixture));
+
+ --m_fixtureCount;
+
+ // Reset the mass data.
+ ResetMassData();
+}
+
+void b2Body::ResetMassData()
+{
+ // Compute mass data from shapes. Each shape has its own density.
+ m_mass = 0.0f;
+ m_invMass = 0.0f;
+ m_I = 0.0f;
+ m_invI = 0.0f;
+ m_sweep.localCenter.SetZero();
+
+ // Static and kinematic bodies have zero mass.
+ if (m_type == b2_staticBody || m_type == b2_kinematicBody)
+ {
+ m_sweep.c0 = m_xf.p;
+ m_sweep.c = m_xf.p;
+ m_sweep.a0 = m_sweep.a;
+ return;
+ }
+
+ b2Assert(m_type == b2_dynamicBody);
+
+ // Accumulate mass over all fixtures.
+ b2Vec2 localCenter = b2Vec2_zero;
+ for (b2Fixture* f = m_fixtureList; f; f = f->m_next)
+ {
+ if (f->m_density == 0.0f)
+ {
+ continue;
+ }
+
+ b2MassData massData;
+ f->GetMassData(&massData);
+ m_mass += massData.mass;
+ localCenter += massData.mass * massData.center;
+ m_I += massData.I;
+ }
+
+ // Compute center of mass.
+ if (m_mass > 0.0f)
+ {
+ m_invMass = 1.0f / m_mass;
+ localCenter *= m_invMass;
+ }
+ else
+ {
+ // Force all dynamic bodies to have a positive mass.
+ m_mass = 1.0f;
+ m_invMass = 1.0f;
+ }
+
+ if (m_I > 0.0f && (m_flags & e_fixedRotationFlag) == 0)
+ {
+ // Center the inertia about the center of mass.
+ m_I -= m_mass * b2Dot(localCenter, localCenter);
+ b2Assert(m_I > 0.0f);
+ m_invI = 1.0f / m_I;
+
+ }
+ else
+ {
+ m_I = 0.0f;
+ m_invI = 0.0f;
+ }
+
+ // Move center of mass.
+ b2Vec2 oldCenter = m_sweep.c;
+ m_sweep.localCenter = localCenter;
+ m_sweep.c0 = m_sweep.c = b2Mul(m_xf, m_sweep.localCenter);
+
+ // Update center of mass velocity.
+ m_linearVelocity += b2Cross(m_angularVelocity, m_sweep.c - oldCenter);
+}
+
+void b2Body::SetMassData(const b2MassData* massData)
+{
+ b2Assert(m_world->IsLocked() == false);
+ if (m_world->IsLocked() == true)
+ {
+ return;
+ }
+
+ if (m_type != b2_dynamicBody)
+ {
+ return;
+ }
+
+ m_invMass = 0.0f;
+ m_I = 0.0f;
+ m_invI = 0.0f;
+
+ m_mass = massData->mass;
+ if (m_mass <= 0.0f)
+ {
+ m_mass = 1.0f;
+ }
+
+ m_invMass = 1.0f / m_mass;
+
+ if (massData->I > 0.0f && (m_flags & b2Body::e_fixedRotationFlag) == 0)
+ {
+ m_I = massData->I - m_mass * b2Dot(massData->center, massData->center);
+ b2Assert(m_I > 0.0f);
+ m_invI = 1.0f / m_I;
+ }
+
+ // Move center of mass.
+ b2Vec2 oldCenter = m_sweep.c;
+ m_sweep.localCenter = massData->center;
+ m_sweep.c0 = m_sweep.c = b2Mul(m_xf, m_sweep.localCenter);
+
+ // Update center of mass velocity.
+ m_linearVelocity += b2Cross(m_angularVelocity, m_sweep.c - oldCenter);
+}
+
+bool b2Body::ShouldCollide(const b2Body* other) const
+{
+ // At least one body should be dynamic.
+ if (m_type != b2_dynamicBody && other->m_type != b2_dynamicBody)
+ {
+ return false;
+ }
+
+ // Does a joint prevent collision?
+ for (b2JointEdge* jn = m_jointList; jn; jn = jn->next)
+ {
+ if (jn->other == other)
+ {
+ if (jn->joint->m_collideConnected == false)
+ {
+ return false;
+ }
+ }
+ }
+
+ return true;
+}
+
+void b2Body::SetTransform(const b2Vec2& position, float32 angle)
+{
+ b2Assert(m_world->IsLocked() == false);
+ if (m_world->IsLocked() == true)
+ {
+ return;
+ }
+
+ m_xf.q.Set(angle);
+ m_xf.p = position;
+
+ m_sweep.c = b2Mul(m_xf, m_sweep.localCenter);
+ m_sweep.a = angle;
+
+ m_sweep.c0 = m_sweep.c;
+ m_sweep.a0 = angle;
+
+ b2BroadPhase* broadPhase = &m_world->m_contactManager.m_broadPhase;
+ for (b2Fixture* f = m_fixtureList; f; f = f->m_next)
+ {
+ f->Synchronize(broadPhase, m_xf, m_xf);
+ }
+}
+
+void b2Body::SynchronizeFixtures()
+{
+ b2Transform xf1;
+ xf1.q.Set(m_sweep.a0);
+ xf1.p = m_sweep.c0 - b2Mul(xf1.q, m_sweep.localCenter);
+
+ b2BroadPhase* broadPhase = &m_world->m_contactManager.m_broadPhase;
+ for (b2Fixture* f = m_fixtureList; f; f = f->m_next)
+ {
+ f->Synchronize(broadPhase, xf1, m_xf);
+ }
+}
+
+void b2Body::SetActive(bool flag)
+{
+ b2Assert(m_world->IsLocked() == false);
+
+ if (flag == IsActive())
+ {
+ return;
+ }
+
+ if (flag)
+ {
+ m_flags |= e_activeFlag;
+
+ // Create all proxies.
+ b2BroadPhase* broadPhase = &m_world->m_contactManager.m_broadPhase;
+ for (b2Fixture* f = m_fixtureList; f; f = f->m_next)
+ {
+ f->CreateProxies(broadPhase, m_xf);
+ }
+
+ // Contacts are created the next time step.
+ }
+ else
+ {
+ m_flags &= ~e_activeFlag;
+
+ // Destroy all proxies.
+ b2BroadPhase* broadPhase = &m_world->m_contactManager.m_broadPhase;
+ for (b2Fixture* f = m_fixtureList; f; f = f->m_next)
+ {
+ f->DestroyProxies(broadPhase);
+ }
+
+ // Destroy the attached contacts.
+ b2ContactEdge* ce = m_contactList;
+ while (ce)
+ {
+ b2ContactEdge* ce0 = ce;
+ ce = ce->next;
+ m_world->m_contactManager.Destroy(ce0->contact);
+ }
+ m_contactList = nullptr;
+ }
+}
+
+void b2Body::SetFixedRotation(bool flag)
+{
+ bool status = (m_flags & e_fixedRotationFlag) == e_fixedRotationFlag;
+ if (status == flag)
+ {
+ return;
+ }
+
+ if (flag)
+ {
+ m_flags |= e_fixedRotationFlag;
+ }
+ else
+ {
+ m_flags &= ~e_fixedRotationFlag;
+ }
+
+ m_angularVelocity = 0.0f;
+
+ ResetMassData();
+}
+
+void b2Body::Dump()
+{
+ int32 bodyIndex = m_islandIndex;
+
+ b2Log("{\n");
+ b2Log(" b2BodyDef bd;\n");
+ b2Log(" bd.type = b2BodyType(%d);\n", m_type);
+ b2Log(" bd.position.Set(%.15lef, %.15lef);\n", m_xf.p.x, m_xf.p.y);
+ b2Log(" bd.angle = %.15lef;\n", m_sweep.a);
+ b2Log(" bd.linearVelocity.Set(%.15lef, %.15lef);\n", m_linearVelocity.x, m_linearVelocity.y);
+ b2Log(" bd.angularVelocity = %.15lef;\n", m_angularVelocity);
+ b2Log(" bd.linearDamping = %.15lef;\n", m_linearDamping);
+ b2Log(" bd.angularDamping = %.15lef;\n", m_angularDamping);
+ b2Log(" bd.allowSleep = bool(%d);\n", m_flags & e_autoSleepFlag);
+ b2Log(" bd.awake = bool(%d);\n", m_flags & e_awakeFlag);
+ b2Log(" bd.fixedRotation = bool(%d);\n", m_flags & e_fixedRotationFlag);
+ b2Log(" bd.bullet = bool(%d);\n", m_flags & e_bulletFlag);
+ b2Log(" bd.active = bool(%d);\n", m_flags & e_activeFlag);
+ b2Log(" bd.gravityScale = %.15lef;\n", m_gravityScale);
+ b2Log(" bodies[%d] = m_world->CreateBody(&bd);\n", m_islandIndex);
+ b2Log("\n");
+ for (b2Fixture* f = m_fixtureList; f; f = f->m_next)
+ {
+ b2Log(" {\n");
+ f->Dump(bodyIndex);
+ b2Log(" }\n");
+ }
+ b2Log("}\n");
+}
diff --git a/src/3rdparty/Box2D/Dynamics/b2Body.h b/src/3rdparty/Box2D/Dynamics/b2Body.h
new file mode 100644
index 0000000..c191f6d
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2Body.h
@@ -0,0 +1,882 @@
+/*
+* Copyright (c) 2006-2011 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_BODY_H
+#define B2_BODY_H
+
+#include "Box2D/Common/b2Math.h"
+#include "Box2D/Collision/Shapes/b2Shape.h"
+#include <memory>
+
+class b2Fixture;
+class b2Joint;
+class b2Contact;
+class b2Controller;
+class b2World;
+struct b2FixtureDef;
+struct b2JointEdge;
+struct b2ContactEdge;
+
+/// The body type.
+/// static: zero mass, zero velocity, may be manually moved
+/// kinematic: zero mass, non-zero velocity set by user, moved by solver
+/// dynamic: positive mass, non-zero velocity determined by forces, moved by solver
+enum b2BodyType
+{
+ b2_staticBody = 0,
+ b2_kinematicBody,
+ b2_dynamicBody
+
+ // TODO_ERIN
+ //b2_bulletBody,
+};
+
+/// A body definition holds all the data needed to construct a rigid body.
+/// You can safely re-use body definitions. Shapes are added to a body after construction.
+struct b2BodyDef
+{
+ /// This constructor sets the body definition default values.
+ b2BodyDef()
+ {
+ userData = nullptr;
+ position.Set(0.0f, 0.0f);
+ angle = 0.0f;
+ linearVelocity.Set(0.0f, 0.0f);
+ angularVelocity = 0.0f;
+ linearDamping = 0.0f;
+ angularDamping = 0.0f;
+ allowSleep = true;
+ awake = true;
+ fixedRotation = false;
+ bullet = false;
+ type = b2_staticBody;
+ active = true;
+ gravityScale = 1.0f;
+ }
+
+ /// The body type: static, kinematic, or dynamic.
+ /// Note: if a dynamic body would have zero mass, the mass is set to one.
+ b2BodyType type;
+
+ /// The world position of the body. Avoid creating bodies at the origin
+ /// since this can lead to many overlapping shapes.
+ b2Vec2 position;
+
+ /// The world angle of the body in radians.
+ float32 angle;
+
+ /// The linear velocity of the body's origin in world co-ordinates.
+ b2Vec2 linearVelocity;
+
+ /// The angular velocity of the body.
+ float32 angularVelocity;
+
+ /// Linear damping is use to reduce the linear velocity. The damping parameter
+ /// can be larger than 1.0f but the damping effect becomes sensitive to the
+ /// time step when the damping parameter is large.
+ /// Units are 1/time
+ float32 linearDamping;
+
+ /// Angular damping is use to reduce the angular velocity. The damping parameter
+ /// can be larger than 1.0f but the damping effect becomes sensitive to the
+ /// time step when the damping parameter is large.
+ /// Units are 1/time
+ float32 angularDamping;
+
+ /// Set this flag to false if this body should never fall asleep. Note that
+ /// this increases CPU usage.
+ bool allowSleep;
+
+ /// Is this body initially awake or sleeping?
+ bool awake;
+
+ /// Should this body be prevented from rotating? Useful for characters.
+ bool fixedRotation;
+
+ /// Is this a fast moving body that should be prevented from tunneling through
+ /// other moving bodies? Note that all bodies are prevented from tunneling through
+ /// kinematic and static bodies. This setting is only considered on dynamic bodies.
+ /// @warning You should use this flag sparingly since it increases processing time.
+ bool bullet;
+
+ /// Does this body start out active?
+ bool active;
+
+ /// Use this to store application specific body data.
+ void* userData;
+
+ /// Scale the gravity applied to this body.
+ float32 gravityScale;
+};
+
+/// A rigid body. These are created via b2World::CreateBody.
+class b2Body
+{
+public:
+ /// Creates a fixture and attach it to this body. Use this function if you need
+ /// to set some fixture parameters, like friction. Otherwise you can create the
+ /// fixture directly from a shape.
+ /// If the density is non-zero, this function automatically updates the mass of the body.
+ /// Contacts are not created until the next time step.
+ /// @param def the fixture definition.
+ /// @warning This function is locked during callbacks.
+ b2Fixture* CreateFixture(const b2FixtureDef* def);
+
+ /// Creates a fixture from a shape and attach it to this body.
+ /// This is a convenience function. Use b2FixtureDef if you need to set parameters
+ /// like friction, restitution, user data, or filtering.
+ /// If the density is non-zero, this function automatically updates the mass of the body.
+ /// @param shape the shape to be cloned.
+ /// @param density the shape density (set to zero for static bodies).
+ /// @warning This function is locked during callbacks.
+ b2Fixture* CreateFixture(const b2Shape* shape, float32 density);
+
+ /// Destroy a fixture. This removes the fixture from the broad-phase and
+ /// destroys all contacts associated with this fixture. This will
+ /// automatically adjust the mass of the body if the body is dynamic and the
+ /// fixture has positive density.
+ /// All fixtures attached to a body are implicitly destroyed when the body is destroyed.
+ /// @param fixture the fixture to be removed.
+ /// @warning This function is locked during callbacks.
+ void DestroyFixture(b2Fixture* fixture);
+
+ /// Set the position of the body's origin and rotation.
+ /// Manipulating a body's transform may cause non-physical behavior.
+ /// Note: contacts are updated on the next call to b2World::Step.
+ /// @param position the world position of the body's local origin.
+ /// @param angle the world rotation in radians.
+ void SetTransform(const b2Vec2& position, float32 angle);
+
+ /// Get the body transform for the body's origin.
+ /// @return the world transform of the body's origin.
+ const b2Transform& GetTransform() const;
+
+ /// Get the world body origin position.
+ /// @return the world position of the body's origin.
+ const b2Vec2& GetPosition() const;
+
+ /// Get the angle in radians.
+ /// @return the current world rotation angle in radians.
+ float32 GetAngle() const;
+
+ /// Get the world position of the center of mass.
+ const b2Vec2& GetWorldCenter() const;
+
+ /// Get the local position of the center of mass.
+ const b2Vec2& GetLocalCenter() const;
+
+ /// Set the linear velocity of the center of mass.
+ /// @param v the new linear velocity of the center of mass.
+ void SetLinearVelocity(const b2Vec2& v);
+
+ /// Get the linear velocity of the center of mass.
+ /// @return the linear velocity of the center of mass.
+ const b2Vec2& GetLinearVelocity() const;
+
+ /// Set the angular velocity.
+ /// @param omega the new angular velocity in radians/second.
+ void SetAngularVelocity(float32 omega);
+
+ /// Get the angular velocity.
+ /// @return the angular velocity in radians/second.
+ float32 GetAngularVelocity() const;
+
+ /// Apply a force at a world point. If the force is not
+ /// applied at the center of mass, it will generate a torque and
+ /// affect the angular velocity. This wakes up the body.
+ /// @param force the world force vector, usually in Newtons (N).
+ /// @param point the world position of the point of application.
+ /// @param wake also wake up the body
+ void ApplyForce(const b2Vec2& force, const b2Vec2& point, bool wake);
+
+ /// Apply a force to the center of mass. This wakes up the body.
+ /// @param force the world force vector, usually in Newtons (N).
+ /// @param wake also wake up the body
+ void ApplyForceToCenter(const b2Vec2& force, bool wake);
+
+ /// Apply a torque. This affects the angular velocity
+ /// without affecting the linear velocity of the center of mass.
+ /// @param torque about the z-axis (out of the screen), usually in N-m.
+ /// @param wake also wake up the body
+ void ApplyTorque(float32 torque, bool wake);
+
+ /// Apply an impulse at a point. This immediately modifies the velocity.
+ /// It also modifies the angular velocity if the point of application
+ /// is not at the center of mass. This wakes up the body.
+ /// @param impulse the world impulse vector, usually in N-seconds or kg-m/s.
+ /// @param point the world position of the point of application.
+ /// @param wake also wake up the body
+ void ApplyLinearImpulse(const b2Vec2& impulse, const b2Vec2& point, bool wake);
+
+ /// Apply an impulse to the center of mass. This immediately modifies the velocity.
+ /// @param impulse the world impulse vector, usually in N-seconds or kg-m/s.
+ /// @param wake also wake up the body
+ void ApplyLinearImpulseToCenter(const b2Vec2& impulse, bool wake);
+
+ /// Apply an angular impulse.
+ /// @param impulse the angular impulse in units of kg*m*m/s
+ /// @param wake also wake up the body
+ void ApplyAngularImpulse(float32 impulse, bool wake);
+
+ /// Get the total mass of the body.
+ /// @return the mass, usually in kilograms (kg).
+ float32 GetMass() const;
+
+ /// Get the rotational inertia of the body about the local origin.
+ /// @return the rotational inertia, usually in kg-m^2.
+ float32 GetInertia() const;
+
+ /// Get the mass data of the body.
+ /// @return a struct containing the mass, inertia and center of the body.
+ void GetMassData(b2MassData* data) const;
+
+ /// Set the mass properties to override the mass properties of the fixtures.
+ /// Note that this changes the center of mass position.
+ /// Note that creating or destroying fixtures can also alter the mass.
+ /// This function has no effect if the body isn't dynamic.
+ /// @param massData the mass properties.
+ void SetMassData(const b2MassData* data);
+
+ /// This resets the mass properties to the sum of the mass properties of the fixtures.
+ /// This normally does not need to be called unless you called SetMassData to override
+ /// the mass and you later want to reset the mass.
+ void ResetMassData();
+
+ /// Get the world coordinates of a point given the local coordinates.
+ /// @param localPoint a point on the body measured relative the the body's origin.
+ /// @return the same point expressed in world coordinates.
+ b2Vec2 GetWorldPoint(const b2Vec2& localPoint) const;
+
+ /// Get the world coordinates of a vector given the local coordinates.
+ /// @param localVector a vector fixed in the body.
+ /// @return the same vector expressed in world coordinates.
+ b2Vec2 GetWorldVector(const b2Vec2& localVector) const;
+
+ /// Gets a local point relative to the body's origin given a world point.
+ /// @param a point in world coordinates.
+ /// @return the corresponding local point relative to the body's origin.
+ b2Vec2 GetLocalPoint(const b2Vec2& worldPoint) const;
+
+ /// Gets a local vector given a world vector.
+ /// @param a vector in world coordinates.
+ /// @return the corresponding local vector.
+ b2Vec2 GetLocalVector(const b2Vec2& worldVector) const;
+
+ /// Get the world linear velocity of a world point attached to this body.
+ /// @param a point in world coordinates.
+ /// @return the world velocity of a point.
+ b2Vec2 GetLinearVelocityFromWorldPoint(const b2Vec2& worldPoint) const;
+
+ /// Get the world velocity of a local point.
+ /// @param a point in local coordinates.
+ /// @return the world velocity of a point.
+ b2Vec2 GetLinearVelocityFromLocalPoint(const b2Vec2& localPoint) const;
+
+ /// Get the linear damping of the body.
+ float32 GetLinearDamping() const;
+
+ /// Set the linear damping of the body.
+ void SetLinearDamping(float32 linearDamping);
+
+ /// Get the angular damping of the body.
+ float32 GetAngularDamping() const;
+
+ /// Set the angular damping of the body.
+ void SetAngularDamping(float32 angularDamping);
+
+ /// Get the gravity scale of the body.
+ float32 GetGravityScale() const;
+
+ /// Set the gravity scale of the body.
+ void SetGravityScale(float32 scale);
+
+ /// Set the type of this body. This may alter the mass and velocity.
+ void SetType(b2BodyType type);
+
+ /// Get the type of this body.
+ b2BodyType GetType() const;
+
+ /// Should this body be treated like a bullet for continuous collision detection?
+ void SetBullet(bool flag);
+
+ /// Is this body treated like a bullet for continuous collision detection?
+ bool IsBullet() const;
+
+ /// You can disable sleeping on this body. If you disable sleeping, the
+ /// body will be woken.
+ void SetSleepingAllowed(bool flag);
+
+ /// Is this body allowed to sleep
+ bool IsSleepingAllowed() const;
+
+ /// Set the sleep state of the body. A sleeping body has very
+ /// low CPU cost.
+ /// @param flag set to true to wake the body, false to put it to sleep.
+ void SetAwake(bool flag);
+
+ /// Get the sleeping state of this body.
+ /// @return true if the body is awake.
+ bool IsAwake() const;
+
+ /// Set the active state of the body. An inactive body is not
+ /// simulated and cannot be collided with or woken up.
+ /// If you pass a flag of true, all fixtures will be added to the
+ /// broad-phase.
+ /// If you pass a flag of false, all fixtures will be removed from
+ /// the broad-phase and all contacts will be destroyed.
+ /// Fixtures and joints are otherwise unaffected. You may continue
+ /// to create/destroy fixtures and joints on inactive bodies.
+ /// Fixtures on an inactive body are implicitly inactive and will
+ /// not participate in collisions, ray-casts, or queries.
+ /// Joints connected to an inactive body are implicitly inactive.
+ /// An inactive body is still owned by a b2World object and remains
+ /// in the body list.
+ void SetActive(bool flag);
+
+ /// Get the active state of the body.
+ bool IsActive() const;
+
+ /// Set this body to have fixed rotation. This causes the mass
+ /// to be reset.
+ void SetFixedRotation(bool flag);
+
+ /// Does this body have fixed rotation?
+ bool IsFixedRotation() const;
+
+ /// Get the list of all fixtures attached to this body.
+ b2Fixture* GetFixtureList();
+ const b2Fixture* GetFixtureList() const;
+
+ /// Get the list of all joints attached to this body.
+ b2JointEdge* GetJointList();
+ const b2JointEdge* GetJointList() const;
+
+ /// Get the list of all contacts attached to this body.
+ /// @warning this list changes during the time step and you may
+ /// miss some collisions if you don't use b2ContactListener.
+ b2ContactEdge* GetContactList();
+ const b2ContactEdge* GetContactList() const;
+
+ /// Get the next body in the world's body list.
+ b2Body* GetNext();
+ const b2Body* GetNext() const;
+
+ /// Get the user data pointer that was provided in the body definition.
+ void* GetUserData() const;
+
+ /// Set the user data. Use this to store your application specific data.
+ void SetUserData(void* data);
+
+ /// Get the parent world of this body.
+ b2World* GetWorld();
+ const b2World* GetWorld() const;
+
+ /// Dump this body to a log file
+ void Dump();
+
+private:
+
+ friend class b2World;
+ friend class b2Island;
+ friend class b2ContactManager;
+ friend class b2ContactSolver;
+ friend class b2Contact;
+
+ friend class b2DistanceJoint;
+ friend class b2FrictionJoint;
+ friend class b2GearJoint;
+ friend class b2MotorJoint;
+ friend class b2MouseJoint;
+ friend class b2PrismaticJoint;
+ friend class b2PulleyJoint;
+ friend class b2RevoluteJoint;
+ friend class b2RopeJoint;
+ friend class b2WeldJoint;
+ friend class b2WheelJoint;
+
+ // m_flags
+ enum
+ {
+ e_islandFlag = 0x0001,
+ e_awakeFlag = 0x0002,
+ e_autoSleepFlag = 0x0004,
+ e_bulletFlag = 0x0008,
+ e_fixedRotationFlag = 0x0010,
+ e_activeFlag = 0x0020,
+ e_toiFlag = 0x0040
+ };
+
+ b2Body(const b2BodyDef* bd, b2World* world);
+ ~b2Body();
+
+ void SynchronizeFixtures();
+ void SynchronizeTransform();
+
+ // This is used to prevent connected bodies from colliding.
+ // It may lie, depending on the collideConnected flag.
+ bool ShouldCollide(const b2Body* other) const;
+
+ void Advance(float32 t);
+
+ b2BodyType m_type;
+
+ uint16 m_flags;
+
+ int32 m_islandIndex;
+
+ b2Transform m_xf; // the body origin transform
+ b2Sweep m_sweep; // the swept motion for CCD
+
+ b2Vec2 m_linearVelocity;
+ float32 m_angularVelocity;
+
+ b2Vec2 m_force;
+ float32 m_torque;
+
+ b2World* m_world;
+ b2Body* m_prev;
+ b2Body* m_next;
+
+ b2Fixture* m_fixtureList;
+ int32 m_fixtureCount;
+
+ b2JointEdge* m_jointList;
+ b2ContactEdge* m_contactList;
+
+ float32 m_mass, m_invMass;
+
+ // Rotational inertia about the center of mass.
+ float32 m_I, m_invI;
+
+ float32 m_linearDamping;
+ float32 m_angularDamping;
+ float32 m_gravityScale;
+
+ float32 m_sleepTime;
+
+ void* m_userData;
+};
+
+inline b2BodyType b2Body::GetType() const
+{
+ return m_type;
+}
+
+inline const b2Transform& b2Body::GetTransform() const
+{
+ return m_xf;
+}
+
+inline const b2Vec2& b2Body::GetPosition() const
+{
+ return m_xf.p;
+}
+
+inline float32 b2Body::GetAngle() const
+{
+ return m_sweep.a;
+}
+
+inline const b2Vec2& b2Body::GetWorldCenter() const
+{
+ return m_sweep.c;
+}
+
+inline const b2Vec2& b2Body::GetLocalCenter() const
+{
+ return m_sweep.localCenter;
+}
+
+inline void b2Body::SetLinearVelocity(const b2Vec2& v)
+{
+ if (m_type == b2_staticBody)
+ {
+ return;
+ }
+
+ if (b2Dot(v,v) > 0.0f)
+ {
+ SetAwake(true);
+ }
+
+ m_linearVelocity = v;
+}
+
+inline const b2Vec2& b2Body::GetLinearVelocity() const
+{
+ return m_linearVelocity;
+}
+
+inline void b2Body::SetAngularVelocity(float32 w)
+{
+ if (m_type == b2_staticBody)
+ {
+ return;
+ }
+
+ if (w * w > 0.0f)
+ {
+ SetAwake(true);
+ }
+
+ m_angularVelocity = w;
+}
+
+inline float32 b2Body::GetAngularVelocity() const
+{
+ return m_angularVelocity;
+}
+
+inline float32 b2Body::GetMass() const
+{
+ return m_mass;
+}
+
+inline float32 b2Body::GetInertia() const
+{
+ return m_I + m_mass * b2Dot(m_sweep.localCenter, m_sweep.localCenter);
+}
+
+inline void b2Body::GetMassData(b2MassData* data) const
+{
+ data->mass = m_mass;
+ data->I = m_I + m_mass * b2Dot(m_sweep.localCenter, m_sweep.localCenter);
+ data->center = m_sweep.localCenter;
+}
+
+inline b2Vec2 b2Body::GetWorldPoint(const b2Vec2& localPoint) const
+{
+ return b2Mul(m_xf, localPoint);
+}
+
+inline b2Vec2 b2Body::GetWorldVector(const b2Vec2& localVector) const
+{
+ return b2Mul(m_xf.q, localVector);
+}
+
+inline b2Vec2 b2Body::GetLocalPoint(const b2Vec2& worldPoint) const
+{
+ return b2MulT(m_xf, worldPoint);
+}
+
+inline b2Vec2 b2Body::GetLocalVector(const b2Vec2& worldVector) const
+{
+ return b2MulT(m_xf.q, worldVector);
+}
+
+inline b2Vec2 b2Body::GetLinearVelocityFromWorldPoint(const b2Vec2& worldPoint) const
+{
+ return m_linearVelocity + b2Cross(m_angularVelocity, worldPoint - m_sweep.c);
+}
+
+inline b2Vec2 b2Body::GetLinearVelocityFromLocalPoint(const b2Vec2& localPoint) const
+{
+ return GetLinearVelocityFromWorldPoint(GetWorldPoint(localPoint));
+}
+
+inline float32 b2Body::GetLinearDamping() const
+{
+ return m_linearDamping;
+}
+
+inline void b2Body::SetLinearDamping(float32 linearDamping)
+{
+ m_linearDamping = linearDamping;
+}
+
+inline float32 b2Body::GetAngularDamping() const
+{
+ return m_angularDamping;
+}
+
+inline void b2Body::SetAngularDamping(float32 angularDamping)
+{
+ m_angularDamping = angularDamping;
+}
+
+inline float32 b2Body::GetGravityScale() const
+{
+ return m_gravityScale;
+}
+
+inline void b2Body::SetGravityScale(float32 scale)
+{
+ m_gravityScale = scale;
+}
+
+inline void b2Body::SetBullet(bool flag)
+{
+ if (flag)
+ {
+ m_flags |= e_bulletFlag;
+ }
+ else
+ {
+ m_flags &= ~e_bulletFlag;
+ }
+}
+
+inline bool b2Body::IsBullet() const
+{
+ return (m_flags & e_bulletFlag) == e_bulletFlag;
+}
+
+inline void b2Body::SetAwake(bool flag)
+{
+ if (flag)
+ {
+ m_flags |= e_awakeFlag;
+ m_sleepTime = 0.0f;
+ }
+ else
+ {
+ m_flags &= ~e_awakeFlag;
+ m_sleepTime = 0.0f;
+ m_linearVelocity.SetZero();
+ m_angularVelocity = 0.0f;
+ m_force.SetZero();
+ m_torque = 0.0f;
+ }
+}
+
+inline bool b2Body::IsAwake() const
+{
+ return (m_flags & e_awakeFlag) == e_awakeFlag;
+}
+
+inline bool b2Body::IsActive() const
+{
+ return (m_flags & e_activeFlag) == e_activeFlag;
+}
+
+inline bool b2Body::IsFixedRotation() const
+{
+ return (m_flags & e_fixedRotationFlag) == e_fixedRotationFlag;
+}
+
+inline void b2Body::SetSleepingAllowed(bool flag)
+{
+ if (flag)
+ {
+ m_flags |= e_autoSleepFlag;
+ }
+ else
+ {
+ m_flags &= ~e_autoSleepFlag;
+ SetAwake(true);
+ }
+}
+
+inline bool b2Body::IsSleepingAllowed() const
+{
+ return (m_flags & e_autoSleepFlag) == e_autoSleepFlag;
+}
+
+inline b2Fixture* b2Body::GetFixtureList()
+{
+ return m_fixtureList;
+}
+
+inline const b2Fixture* b2Body::GetFixtureList() const
+{
+ return m_fixtureList;
+}
+
+inline b2JointEdge* b2Body::GetJointList()
+{
+ return m_jointList;
+}
+
+inline const b2JointEdge* b2Body::GetJointList() const
+{
+ return m_jointList;
+}
+
+inline b2ContactEdge* b2Body::GetContactList()
+{
+ return m_contactList;
+}
+
+inline const b2ContactEdge* b2Body::GetContactList() const
+{
+ return m_contactList;
+}
+
+inline b2Body* b2Body::GetNext()
+{
+ return m_next;
+}
+
+inline const b2Body* b2Body::GetNext() const
+{
+ return m_next;
+}
+
+inline void b2Body::SetUserData(void* data)
+{
+ m_userData = data;
+}
+
+inline void* b2Body::GetUserData() const
+{
+ return m_userData;
+}
+
+inline void b2Body::ApplyForce(const b2Vec2& force, const b2Vec2& point, bool wake)
+{
+ if (m_type != b2_dynamicBody)
+ {
+ return;
+ }
+
+ if (wake && (m_flags & e_awakeFlag) == 0)
+ {
+ SetAwake(true);
+ }
+
+ // Don't accumulate a force if the body is sleeping.
+ if (m_flags & e_awakeFlag)
+ {
+ m_force += force;
+ m_torque += b2Cross(point - m_sweep.c, force);
+ }
+}
+
+inline void b2Body::ApplyForceToCenter(const b2Vec2& force, bool wake)
+{
+ if (m_type != b2_dynamicBody)
+ {
+ return;
+ }
+
+ if (wake && (m_flags & e_awakeFlag) == 0)
+ {
+ SetAwake(true);
+ }
+
+ // Don't accumulate a force if the body is sleeping
+ if (m_flags & e_awakeFlag)
+ {
+ m_force += force;
+ }
+}
+
+inline void b2Body::ApplyTorque(float32 torque, bool wake)
+{
+ if (m_type != b2_dynamicBody)
+ {
+ return;
+ }
+
+ if (wake && (m_flags & e_awakeFlag) == 0)
+ {
+ SetAwake(true);
+ }
+
+ // Don't accumulate a force if the body is sleeping
+ if (m_flags & e_awakeFlag)
+ {
+ m_torque += torque;
+ }
+}
+
+inline void b2Body::ApplyLinearImpulse(const b2Vec2& impulse, const b2Vec2& point, bool wake)
+{
+ if (m_type != b2_dynamicBody)
+ {
+ return;
+ }
+
+ if (wake && (m_flags & e_awakeFlag) == 0)
+ {
+ SetAwake(true);
+ }
+
+ // Don't accumulate velocity if the body is sleeping
+ if (m_flags & e_awakeFlag)
+ {
+ m_linearVelocity += m_invMass * impulse;
+ m_angularVelocity += m_invI * b2Cross(point - m_sweep.c, impulse);
+ }
+}
+
+inline void b2Body::ApplyLinearImpulseToCenter(const b2Vec2& impulse, bool wake)
+{
+ if (m_type != b2_dynamicBody)
+ {
+ return;
+ }
+
+ if (wake && (m_flags & e_awakeFlag) == 0)
+ {
+ SetAwake(true);
+ }
+
+ // Don't accumulate velocity if the body is sleeping
+ if (m_flags & e_awakeFlag)
+ {
+ m_linearVelocity += m_invMass * impulse;
+ }
+}
+
+inline void b2Body::ApplyAngularImpulse(float32 impulse, bool wake)
+{
+ if (m_type != b2_dynamicBody)
+ {
+ return;
+ }
+
+ if (wake && (m_flags & e_awakeFlag) == 0)
+ {
+ SetAwake(true);
+ }
+
+ // Don't accumulate velocity if the body is sleeping
+ if (m_flags & e_awakeFlag)
+ {
+ m_angularVelocity += m_invI * impulse;
+ }
+}
+
+inline void b2Body::SynchronizeTransform()
+{
+ m_xf.q.Set(m_sweep.a);
+ m_xf.p = m_sweep.c - b2Mul(m_xf.q, m_sweep.localCenter);
+}
+
+inline void b2Body::Advance(float32 alpha)
+{
+ // Advance to the new safe time. This doesn't sync the broad-phase.
+ m_sweep.Advance(alpha);
+ m_sweep.c = m_sweep.c0;
+ m_sweep.a = m_sweep.a0;
+ m_xf.q.Set(m_sweep.a);
+ m_xf.p = m_sweep.c - b2Mul(m_xf.q, m_sweep.localCenter);
+}
+
+inline b2World* b2Body::GetWorld()
+{
+ return m_world;
+}
+
+inline const b2World* b2Body::GetWorld() const
+{
+ return m_world;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/b2ContactManager.cpp b/src/3rdparty/Box2D/Dynamics/b2ContactManager.cpp
new file mode 100644
index 0000000..051cc2f
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2ContactManager.cpp
@@ -0,0 +1,296 @@
+/*
+* 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 "Box2D/Dynamics/b2ContactManager.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2WorldCallbacks.h"
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+
+b2ContactFilter b2_defaultFilter;
+b2ContactListener b2_defaultListener;
+
+b2ContactManager::b2ContactManager()
+{
+ m_contactList = nullptr;
+ m_contactCount = 0;
+ m_contactFilter = &b2_defaultFilter;
+ m_contactListener = &b2_defaultListener;
+ m_allocator = nullptr;
+}
+
+void b2ContactManager::Destroy(b2Contact* c)
+{
+ b2Fixture* fixtureA = c->GetFixtureA();
+ b2Fixture* fixtureB = c->GetFixtureB();
+ b2Body* bodyA = fixtureA->GetBody();
+ b2Body* bodyB = fixtureB->GetBody();
+
+ if (m_contactListener && c->IsTouching())
+ {
+ m_contactListener->EndContact(c);
+ }
+
+ // Remove from the world.
+ if (c->m_prev)
+ {
+ c->m_prev->m_next = c->m_next;
+ }
+
+ if (c->m_next)
+ {
+ c->m_next->m_prev = c->m_prev;
+ }
+
+ if (c == m_contactList)
+ {
+ m_contactList = c->m_next;
+ }
+
+ // Remove from body 1
+ if (c->m_nodeA.prev)
+ {
+ c->m_nodeA.prev->next = c->m_nodeA.next;
+ }
+
+ if (c->m_nodeA.next)
+ {
+ c->m_nodeA.next->prev = c->m_nodeA.prev;
+ }
+
+ if (&c->m_nodeA == bodyA->m_contactList)
+ {
+ bodyA->m_contactList = c->m_nodeA.next;
+ }
+
+ // Remove from body 2
+ if (c->m_nodeB.prev)
+ {
+ c->m_nodeB.prev->next = c->m_nodeB.next;
+ }
+
+ if (c->m_nodeB.next)
+ {
+ c->m_nodeB.next->prev = c->m_nodeB.prev;
+ }
+
+ if (&c->m_nodeB == bodyB->m_contactList)
+ {
+ bodyB->m_contactList = c->m_nodeB.next;
+ }
+
+ // Call the factory.
+ b2Contact::Destroy(c, m_allocator);
+ --m_contactCount;
+}
+
+// This is the top level collision call for the time step. Here
+// all the narrow phase collision is processed for the world
+// contact list.
+void b2ContactManager::Collide()
+{
+ // Update awake contacts.
+ b2Contact* c = m_contactList;
+ while (c)
+ {
+ b2Fixture* fixtureA = c->GetFixtureA();
+ b2Fixture* fixtureB = c->GetFixtureB();
+ int32 indexA = c->GetChildIndexA();
+ int32 indexB = c->GetChildIndexB();
+ b2Body* bodyA = fixtureA->GetBody();
+ b2Body* bodyB = fixtureB->GetBody();
+
+ // Is this contact flagged for filtering?
+ if (c->m_flags & b2Contact::e_filterFlag)
+ {
+ // Should these bodies collide?
+ if (bodyB->ShouldCollide(bodyA) == false)
+ {
+ b2Contact* cNuke = c;
+ c = cNuke->GetNext();
+ Destroy(cNuke);
+ continue;
+ }
+
+ // Check user filtering.
+ if (m_contactFilter && m_contactFilter->ShouldCollide(fixtureA, fixtureB) == false)
+ {
+ b2Contact* cNuke = c;
+ c = cNuke->GetNext();
+ Destroy(cNuke);
+ continue;
+ }
+
+ // Clear the filtering flag.
+ c->m_flags &= ~b2Contact::e_filterFlag;
+ }
+
+ bool activeA = bodyA->IsAwake() && bodyA->m_type != b2_staticBody;
+ bool activeB = bodyB->IsAwake() && bodyB->m_type != b2_staticBody;
+
+ // At least one body must be awake and it must be dynamic or kinematic.
+ if (activeA == false && activeB == false)
+ {
+ c = c->GetNext();
+ continue;
+ }
+
+ int32 proxyIdA = fixtureA->m_proxies[indexA].proxyId;
+ int32 proxyIdB = fixtureB->m_proxies[indexB].proxyId;
+ bool overlap = m_broadPhase.TestOverlap(proxyIdA, proxyIdB);
+
+ // Here we destroy contacts that cease to overlap in the broad-phase.
+ if (overlap == false)
+ {
+ b2Contact* cNuke = c;
+ c = cNuke->GetNext();
+ Destroy(cNuke);
+ continue;
+ }
+
+ // The contact persists.
+ c->Update(m_contactListener);
+ c = c->GetNext();
+ }
+}
+
+void b2ContactManager::FindNewContacts()
+{
+ m_broadPhase.UpdatePairs(this);
+}
+
+void b2ContactManager::AddPair(void* proxyUserDataA, void* proxyUserDataB)
+{
+ b2FixtureProxy* proxyA = (b2FixtureProxy*)proxyUserDataA;
+ b2FixtureProxy* proxyB = (b2FixtureProxy*)proxyUserDataB;
+
+ b2Fixture* fixtureA = proxyA->fixture;
+ b2Fixture* fixtureB = proxyB->fixture;
+
+ int32 indexA = proxyA->childIndex;
+ int32 indexB = proxyB->childIndex;
+
+ b2Body* bodyA = fixtureA->GetBody();
+ b2Body* bodyB = fixtureB->GetBody();
+
+ // Are the fixtures on the same body?
+ if (bodyA == bodyB)
+ {
+ return;
+ }
+
+ // TODO_ERIN use a hash table to remove a potential bottleneck when both
+ // bodies have a lot of contacts.
+ // Does a contact already exist?
+ b2ContactEdge* edge = bodyB->GetContactList();
+ while (edge)
+ {
+ if (edge->other == bodyA)
+ {
+ b2Fixture* fA = edge->contact->GetFixtureA();
+ b2Fixture* fB = edge->contact->GetFixtureB();
+ int32 iA = edge->contact->GetChildIndexA();
+ int32 iB = edge->contact->GetChildIndexB();
+
+ if (fA == fixtureA && fB == fixtureB && iA == indexA && iB == indexB)
+ {
+ // A contact already exists.
+ return;
+ }
+
+ if (fA == fixtureB && fB == fixtureA && iA == indexB && iB == indexA)
+ {
+ // A contact already exists.
+ return;
+ }
+ }
+
+ edge = edge->next;
+ }
+
+ // Does a joint override collision? Is at least one body dynamic?
+ if (bodyB->ShouldCollide(bodyA) == false)
+ {
+ return;
+ }
+
+ // Check user filtering.
+ if (m_contactFilter && m_contactFilter->ShouldCollide(fixtureA, fixtureB) == false)
+ {
+ return;
+ }
+
+ // Call the factory.
+ b2Contact* c = b2Contact::Create(fixtureA, indexA, fixtureB, indexB, m_allocator);
+ if (c == nullptr)
+ {
+ return;
+ }
+
+ // Contact creation may swap fixtures.
+ fixtureA = c->GetFixtureA();
+ fixtureB = c->GetFixtureB();
+ indexA = c->GetChildIndexA();
+ indexB = c->GetChildIndexB();
+ bodyA = fixtureA->GetBody();
+ bodyB = fixtureB->GetBody();
+
+ // Insert into the world.
+ c->m_prev = nullptr;
+ c->m_next = m_contactList;
+ if (m_contactList != nullptr)
+ {
+ m_contactList->m_prev = c;
+ }
+ m_contactList = c;
+
+ // Connect to island graph.
+
+ // Connect to body A
+ c->m_nodeA.contact = c;
+ c->m_nodeA.other = bodyB;
+
+ c->m_nodeA.prev = nullptr;
+ c->m_nodeA.next = bodyA->m_contactList;
+ if (bodyA->m_contactList != nullptr)
+ {
+ bodyA->m_contactList->prev = &c->m_nodeA;
+ }
+ bodyA->m_contactList = &c->m_nodeA;
+
+ // Connect to body B
+ c->m_nodeB.contact = c;
+ c->m_nodeB.other = bodyA;
+
+ c->m_nodeB.prev = nullptr;
+ c->m_nodeB.next = bodyB->m_contactList;
+ if (bodyB->m_contactList != nullptr)
+ {
+ bodyB->m_contactList->prev = &c->m_nodeB;
+ }
+ bodyB->m_contactList = &c->m_nodeB;
+
+ // Wake up the bodies
+ if (fixtureA->IsSensor() == false && fixtureB->IsSensor() == false)
+ {
+ bodyA->SetAwake(true);
+ bodyB->SetAwake(true);
+ }
+
+ ++m_contactCount;
+}
diff --git a/src/3rdparty/Box2D/Dynamics/b2ContactManager.h b/src/3rdparty/Box2D/Dynamics/b2ContactManager.h
new file mode 100644
index 0000000..4c969e7
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2ContactManager.h
@@ -0,0 +1,52 @@
+/*
+* 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_CONTACT_MANAGER_H
+#define B2_CONTACT_MANAGER_H
+
+#include "Box2D/Collision/b2BroadPhase.h"
+
+class b2Contact;
+class b2ContactFilter;
+class b2ContactListener;
+class b2BlockAllocator;
+
+// Delegate of b2World.
+class b2ContactManager
+{
+public:
+ b2ContactManager();
+
+ // Broad-phase callback.
+ void AddPair(void* proxyUserDataA, void* proxyUserDataB);
+
+ void FindNewContacts();
+
+ void Destroy(b2Contact* c);
+
+ void Collide();
+
+ b2BroadPhase m_broadPhase;
+ b2Contact* m_contactList;
+ int32 m_contactCount;
+ b2ContactFilter* m_contactFilter;
+ b2ContactListener* m_contactListener;
+ b2BlockAllocator* m_allocator;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/b2Fixture.cpp b/src/3rdparty/Box2D/Dynamics/b2Fixture.cpp
new file mode 100644
index 0000000..956b485
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2Fixture.cpp
@@ -0,0 +1,303 @@
+/*
+* 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 "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+#include "Box2D/Dynamics/b2World.h"
+#include "Box2D/Collision/Shapes/b2CircleShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+#include "Box2D/Collision/Shapes/b2PolygonShape.h"
+#include "Box2D/Collision/Shapes/b2ChainShape.h"
+#include "Box2D/Collision/b2BroadPhase.h"
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+
+b2Fixture::b2Fixture()
+{
+ m_userData = nullptr;
+ m_body = nullptr;
+ m_next = nullptr;
+ m_proxies = nullptr;
+ m_proxyCount = 0;
+ m_shape = nullptr;
+ m_density = 0.0f;
+}
+
+void b2Fixture::Create(b2BlockAllocator* allocator, b2Body* body, const b2FixtureDef* def)
+{
+ m_userData = def->userData;
+ m_friction = def->friction;
+ m_restitution = def->restitution;
+
+ m_body = body;
+ m_next = nullptr;
+
+ m_filter = def->filter;
+
+ m_isSensor = def->isSensor;
+
+ m_shape = def->shape->Clone(allocator);
+
+ // Reserve proxy space
+ int32 childCount = m_shape->GetChildCount();
+ m_proxies = (b2FixtureProxy*)allocator->Allocate(childCount * sizeof(b2FixtureProxy));
+ for (int32 i = 0; i < childCount; ++i)
+ {
+ m_proxies[i].fixture = nullptr;
+ m_proxies[i].proxyId = b2BroadPhase::e_nullProxy;
+ }
+ m_proxyCount = 0;
+
+ m_density = def->density;
+}
+
+void b2Fixture::Destroy(b2BlockAllocator* allocator)
+{
+ // The proxies must be destroyed before calling this.
+ b2Assert(m_proxyCount == 0);
+
+ // Free the proxy array.
+ int32 childCount = m_shape->GetChildCount();
+ allocator->Free(m_proxies, childCount * sizeof(b2FixtureProxy));
+ m_proxies = nullptr;
+
+ // Free the child shape.
+ switch (m_shape->m_type)
+ {
+ case b2Shape::e_circle:
+ {
+ b2CircleShape* s = (b2CircleShape*)m_shape;
+ s->~b2CircleShape();
+ allocator->Free(s, sizeof(b2CircleShape));
+ }
+ break;
+
+ case b2Shape::e_edge:
+ {
+ b2EdgeShape* s = (b2EdgeShape*)m_shape;
+ s->~b2EdgeShape();
+ allocator->Free(s, sizeof(b2EdgeShape));
+ }
+ break;
+
+ case b2Shape::e_polygon:
+ {
+ b2PolygonShape* s = (b2PolygonShape*)m_shape;
+ s->~b2PolygonShape();
+ allocator->Free(s, sizeof(b2PolygonShape));
+ }
+ break;
+
+ case b2Shape::e_chain:
+ {
+ b2ChainShape* s = (b2ChainShape*)m_shape;
+ s->~b2ChainShape();
+ allocator->Free(s, sizeof(b2ChainShape));
+ }
+ break;
+
+ default:
+ b2Assert(false);
+ break;
+ }
+
+ m_shape = nullptr;
+}
+
+void b2Fixture::CreateProxies(b2BroadPhase* broadPhase, const b2Transform& xf)
+{
+ b2Assert(m_proxyCount == 0);
+
+ // Create proxies in the broad-phase.
+ m_proxyCount = m_shape->GetChildCount();
+
+ for (int32 i = 0; i < m_proxyCount; ++i)
+ {
+ b2FixtureProxy* proxy = m_proxies + i;
+ m_shape->ComputeAABB(&proxy->aabb, xf, i);
+ proxy->proxyId = broadPhase->CreateProxy(proxy->aabb, proxy);
+ proxy->fixture = this;
+ proxy->childIndex = i;
+ }
+}
+
+void b2Fixture::DestroyProxies(b2BroadPhase* broadPhase)
+{
+ // Destroy proxies in the broad-phase.
+ for (int32 i = 0; i < m_proxyCount; ++i)
+ {
+ b2FixtureProxy* proxy = m_proxies + i;
+ broadPhase->DestroyProxy(proxy->proxyId);
+ proxy->proxyId = b2BroadPhase::e_nullProxy;
+ }
+
+ m_proxyCount = 0;
+}
+
+void b2Fixture::Synchronize(b2BroadPhase* broadPhase, const b2Transform& transform1, const b2Transform& transform2)
+{
+ if (m_proxyCount == 0)
+ {
+ return;
+ }
+
+ for (int32 i = 0; i < m_proxyCount; ++i)
+ {
+ b2FixtureProxy* proxy = m_proxies + i;
+
+ // Compute an AABB that covers the swept shape (may miss some rotation effect).
+ b2AABB aabb1, aabb2;
+ m_shape->ComputeAABB(&aabb1, transform1, proxy->childIndex);
+ m_shape->ComputeAABB(&aabb2, transform2, proxy->childIndex);
+
+ proxy->aabb.Combine(aabb1, aabb2);
+
+ b2Vec2 displacement = transform2.p - transform1.p;
+
+ broadPhase->MoveProxy(proxy->proxyId, proxy->aabb, displacement);
+ }
+}
+
+void b2Fixture::SetFilterData(const b2Filter& filter)
+{
+ m_filter = filter;
+
+ Refilter();
+}
+
+void b2Fixture::Refilter()
+{
+ if (m_body == nullptr)
+ {
+ return;
+ }
+
+ // Flag associated contacts for filtering.
+ b2ContactEdge* edge = m_body->GetContactList();
+ while (edge)
+ {
+ b2Contact* contact = edge->contact;
+ b2Fixture* fixtureA = contact->GetFixtureA();
+ b2Fixture* fixtureB = contact->GetFixtureB();
+ if (fixtureA == this || fixtureB == this)
+ {
+ contact->FlagForFiltering();
+ }
+
+ edge = edge->next;
+ }
+
+ b2World* world = m_body->GetWorld();
+
+ if (world == nullptr)
+ {
+ return;
+ }
+
+ // Touch each proxy so that new pairs may be created
+ b2BroadPhase* broadPhase = &world->m_contactManager.m_broadPhase;
+ for (int32 i = 0; i < m_proxyCount; ++i)
+ {
+ broadPhase->TouchProxy(m_proxies[i].proxyId);
+ }
+}
+
+void b2Fixture::SetSensor(bool sensor)
+{
+ if (sensor != m_isSensor)
+ {
+ m_body->SetAwake(true);
+ m_isSensor = sensor;
+ }
+}
+
+void b2Fixture::Dump(int32 bodyIndex)
+{
+ b2Log(" b2FixtureDef fd;\n");
+ b2Log(" fd.friction = %.15lef;\n", m_friction);
+ b2Log(" fd.restitution = %.15lef;\n", m_restitution);
+ b2Log(" fd.density = %.15lef;\n", m_density);
+ b2Log(" fd.isSensor = bool(%d);\n", m_isSensor);
+ b2Log(" fd.filter.categoryBits = uint16(%d);\n", m_filter.categoryBits);
+ b2Log(" fd.filter.maskBits = uint16(%d);\n", m_filter.maskBits);
+ b2Log(" fd.filter.groupIndex = int16(%d);\n", m_filter.groupIndex);
+
+ switch (m_shape->m_type)
+ {
+ case b2Shape::e_circle:
+ {
+ b2CircleShape* s = (b2CircleShape*)m_shape;
+ b2Log(" b2CircleShape shape;\n");
+ b2Log(" shape.m_radius = %.15lef;\n", s->m_radius);
+ b2Log(" shape.m_p.Set(%.15lef, %.15lef);\n", s->m_p.x, s->m_p.y);
+ }
+ break;
+
+ case b2Shape::e_edge:
+ {
+ b2EdgeShape* s = (b2EdgeShape*)m_shape;
+ b2Log(" b2EdgeShape shape;\n");
+ b2Log(" shape.m_radius = %.15lef;\n", s->m_radius);
+ b2Log(" shape.m_vertex0.Set(%.15lef, %.15lef);\n", s->m_vertex0.x, s->m_vertex0.y);
+ b2Log(" shape.m_vertex1.Set(%.15lef, %.15lef);\n", s->m_vertex1.x, s->m_vertex1.y);
+ b2Log(" shape.m_vertex2.Set(%.15lef, %.15lef);\n", s->m_vertex2.x, s->m_vertex2.y);
+ b2Log(" shape.m_vertex3.Set(%.15lef, %.15lef);\n", s->m_vertex3.x, s->m_vertex3.y);
+ b2Log(" shape.m_hasVertex0 = bool(%d);\n", s->m_hasVertex0);
+ b2Log(" shape.m_hasVertex3 = bool(%d);\n", s->m_hasVertex3);
+ }
+ break;
+
+ case b2Shape::e_polygon:
+ {
+ b2PolygonShape* s = (b2PolygonShape*)m_shape;
+ b2Log(" b2PolygonShape shape;\n");
+ b2Log(" b2Vec2 vs[%d];\n", b2_maxPolygonVertices);
+ for (int32 i = 0; i < s->m_count; ++i)
+ {
+ b2Log(" vs[%d].Set(%.15lef, %.15lef);\n", i, s->m_vertices[i].x, s->m_vertices[i].y);
+ }
+ b2Log(" shape.Set(vs, %d);\n", s->m_count);
+ }
+ break;
+
+ case b2Shape::e_chain:
+ {
+ b2ChainShape* s = (b2ChainShape*)m_shape;
+ b2Log(" b2ChainShape shape;\n");
+ b2Log(" b2Vec2 vs[%d];\n", s->m_count);
+ for (int32 i = 0; i < s->m_count; ++i)
+ {
+ b2Log(" vs[%d].Set(%.15lef, %.15lef);\n", i, s->m_vertices[i].x, s->m_vertices[i].y);
+ }
+ b2Log(" shape.CreateChain(vs, %d);\n", s->m_count);
+ b2Log(" shape.m_prevVertex.Set(%.15lef, %.15lef);\n", s->m_prevVertex.x, s->m_prevVertex.y);
+ b2Log(" shape.m_nextVertex.Set(%.15lef, %.15lef);\n", s->m_nextVertex.x, s->m_nextVertex.y);
+ b2Log(" shape.m_hasPrevVertex = bool(%d);\n", s->m_hasPrevVertex);
+ b2Log(" shape.m_hasNextVertex = bool(%d);\n", s->m_hasNextVertex);
+ }
+ break;
+
+ default:
+ return;
+ }
+
+ b2Log("\n");
+ b2Log(" fd.shape = &shape;\n");
+ b2Log("\n");
+ b2Log(" bodies[%d]->CreateFixture(&fd);\n", bodyIndex);
+}
diff --git a/src/3rdparty/Box2D/Dynamics/b2Fixture.h b/src/3rdparty/Box2D/Dynamics/b2Fixture.h
new file mode 100644
index 0000000..9f7a8aa
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2Fixture.h
@@ -0,0 +1,345 @@
+/*
+* 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_FIXTURE_H
+#define B2_FIXTURE_H
+
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/Shapes/b2Shape.h"
+
+class b2BlockAllocator;
+class b2Body;
+class b2BroadPhase;
+class b2Fixture;
+
+/// This holds contact filtering data.
+struct b2Filter
+{
+ b2Filter()
+ {
+ categoryBits = 0x0001;
+ maskBits = 0xFFFF;
+ groupIndex = 0;
+ }
+
+ /// The collision category bits. Normally you would just set one bit.
+ uint16 categoryBits;
+
+ /// The collision mask bits. This states the categories that this
+ /// shape would accept for collision.
+ uint16 maskBits;
+
+ /// Collision groups allow a certain group of objects to never collide (negative)
+ /// or always collide (positive). Zero means no collision group. Non-zero group
+ /// filtering always wins against the mask bits.
+ int16 groupIndex;
+};
+
+/// A fixture definition is used to create a fixture. This class defines an
+/// abstract fixture definition. You can reuse fixture definitions safely.
+struct b2FixtureDef
+{
+ /// The constructor sets the default fixture definition values.
+ b2FixtureDef()
+ {
+ shape = nullptr;
+ userData = nullptr;
+ friction = 0.2f;
+ restitution = 0.0f;
+ density = 0.0f;
+ isSensor = false;
+ }
+
+ /// The shape, this must be set. The shape will be cloned, so you
+ /// can create the shape on the stack.
+ const b2Shape* shape;
+
+ /// Use this to store application specific fixture data.
+ void* userData;
+
+ /// The friction coefficient, usually in the range [0,1].
+ float32 friction;
+
+ /// The restitution (elasticity) usually in the range [0,1].
+ float32 restitution;
+
+ /// The density, usually in kg/m^2.
+ float32 density;
+
+ /// A sensor shape collects contact information but never generates a collision
+ /// response.
+ bool isSensor;
+
+ /// Contact filtering data.
+ b2Filter filter;
+};
+
+/// This proxy is used internally to connect fixtures to the broad-phase.
+struct b2FixtureProxy
+{
+ b2AABB aabb;
+ b2Fixture* fixture;
+ int32 childIndex;
+ int32 proxyId;
+};
+
+/// A fixture is used to attach a shape to a body for collision detection. A fixture
+/// inherits its transform from its parent. Fixtures hold additional non-geometric data
+/// such as friction, collision filters, etc.
+/// Fixtures are created via b2Body::CreateFixture.
+/// @warning you cannot reuse fixtures.
+class b2Fixture
+{
+public:
+ /// Get the type of the child shape. You can use this to down cast to the concrete shape.
+ /// @return the shape type.
+ b2Shape::Type GetType() const;
+
+ /// Get the child shape. You can modify the child shape, however you should not change the
+ /// number of vertices because this will crash some collision caching mechanisms.
+ /// Manipulating the shape may lead to non-physical behavior.
+ b2Shape* GetShape();
+ const b2Shape* GetShape() const;
+
+ /// Set if this fixture is a sensor.
+ void SetSensor(bool sensor);
+
+ /// Is this fixture a sensor (non-solid)?
+ /// @return the true if the shape is a sensor.
+ bool IsSensor() const;
+
+ /// Set the contact filtering data. This will not update contacts until the next time
+ /// step when either parent body is active and awake.
+ /// This automatically calls Refilter.
+ void SetFilterData(const b2Filter& filter);
+
+ /// Get the contact filtering data.
+ const b2Filter& GetFilterData() const;
+
+ /// Call this if you want to establish collision that was previously disabled by b2ContactFilter::ShouldCollide.
+ void Refilter();
+
+ /// Get the parent body of this fixture. This is nullptr if the fixture is not attached.
+ /// @return the parent body.
+ b2Body* GetBody();
+ const b2Body* GetBody() const;
+
+ /// Get the next fixture in the parent body's fixture list.
+ /// @return the next shape.
+ b2Fixture* GetNext();
+ const b2Fixture* GetNext() const;
+
+ /// Get the user data that was assigned in the fixture definition. Use this to
+ /// store your application specific data.
+ void* GetUserData() const;
+
+ /// Set the user data. Use this to store your application specific data.
+ void SetUserData(void* data);
+
+ /// Test a point for containment in this fixture.
+ /// @param p a point in world coordinates.
+ bool TestPoint(const b2Vec2& p) const;
+
+ /// Cast a ray against this shape.
+ /// @param output the ray-cast results.
+ /// @param input the ray-cast input parameters.
+ bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input, int32 childIndex) const;
+
+ /// Get the mass data for this fixture. The mass data is based on the density and
+ /// the shape. The rotational inertia is about the shape's origin. This operation
+ /// may be expensive.
+ void GetMassData(b2MassData* massData) const;
+
+ /// Set the density of this fixture. This will _not_ automatically adjust the mass
+ /// of the body. You must call b2Body::ResetMassData to update the body's mass.
+ void SetDensity(float32 density);
+
+ /// Get the density of this fixture.
+ float32 GetDensity() const;
+
+ /// Get the coefficient of friction.
+ float32 GetFriction() const;
+
+ /// Set the coefficient of friction. This will _not_ change the friction of
+ /// existing contacts.
+ void SetFriction(float32 friction);
+
+ /// Get the coefficient of restitution.
+ float32 GetRestitution() const;
+
+ /// Set the coefficient of restitution. This will _not_ change the restitution of
+ /// existing contacts.
+ void SetRestitution(float32 restitution);
+
+ /// Get the fixture's AABB. This AABB may be enlarge and/or stale.
+ /// If you need a more accurate AABB, compute it using the shape and
+ /// the body transform.
+ const b2AABB& GetAABB(int32 childIndex) const;
+
+ /// Dump this fixture to the log file.
+ void Dump(int32 bodyIndex);
+
+protected:
+
+ friend class b2Body;
+ friend class b2World;
+ friend class b2Contact;
+ friend class b2ContactManager;
+
+ b2Fixture();
+
+ // We need separation create/destroy functions from the constructor/destructor because
+ // the destructor cannot access the allocator (no destructor arguments allowed by C++).
+ void Create(b2BlockAllocator* allocator, b2Body* body, const b2FixtureDef* def);
+ void Destroy(b2BlockAllocator* allocator);
+
+ // These support body activation/deactivation.
+ void CreateProxies(b2BroadPhase* broadPhase, const b2Transform& xf);
+ void DestroyProxies(b2BroadPhase* broadPhase);
+
+ void Synchronize(b2BroadPhase* broadPhase, const b2Transform& xf1, const b2Transform& xf2);
+
+ float32 m_density;
+
+ b2Fixture* m_next;
+ b2Body* m_body;
+
+ b2Shape* m_shape;
+
+ float32 m_friction;
+ float32 m_restitution;
+
+ b2FixtureProxy* m_proxies;
+ int32 m_proxyCount;
+
+ b2Filter m_filter;
+
+ bool m_isSensor;
+
+ void* m_userData;
+};
+
+inline b2Shape::Type b2Fixture::GetType() const
+{
+ return m_shape->GetType();
+}
+
+inline b2Shape* b2Fixture::GetShape()
+{
+ return m_shape;
+}
+
+inline const b2Shape* b2Fixture::GetShape() const
+{
+ return m_shape;
+}
+
+inline bool b2Fixture::IsSensor() const
+{
+ return m_isSensor;
+}
+
+inline const b2Filter& b2Fixture::GetFilterData() const
+{
+ return m_filter;
+}
+
+inline void* b2Fixture::GetUserData() const
+{
+ return m_userData;
+}
+
+inline void b2Fixture::SetUserData(void* data)
+{
+ m_userData = data;
+}
+
+inline b2Body* b2Fixture::GetBody()
+{
+ return m_body;
+}
+
+inline const b2Body* b2Fixture::GetBody() const
+{
+ return m_body;
+}
+
+inline b2Fixture* b2Fixture::GetNext()
+{
+ return m_next;
+}
+
+inline const b2Fixture* b2Fixture::GetNext() const
+{
+ return m_next;
+}
+
+inline void b2Fixture::SetDensity(float32 density)
+{
+ b2Assert(b2IsValid(density) && density >= 0.0f);
+ m_density = density;
+}
+
+inline float32 b2Fixture::GetDensity() const
+{
+ return m_density;
+}
+
+inline float32 b2Fixture::GetFriction() const
+{
+ return m_friction;
+}
+
+inline void b2Fixture::SetFriction(float32 friction)
+{
+ m_friction = friction;
+}
+
+inline float32 b2Fixture::GetRestitution() const
+{
+ return m_restitution;
+}
+
+inline void b2Fixture::SetRestitution(float32 restitution)
+{
+ m_restitution = restitution;
+}
+
+inline bool b2Fixture::TestPoint(const b2Vec2& p) const
+{
+ return m_shape->TestPoint(m_body->GetTransform(), p);
+}
+
+inline bool b2Fixture::RayCast(b2RayCastOutput* output, const b2RayCastInput& input, int32 childIndex) const
+{
+ return m_shape->RayCast(output, input, m_body->GetTransform(), childIndex);
+}
+
+inline void b2Fixture::GetMassData(b2MassData* massData) const
+{
+ m_shape->ComputeMass(massData, m_density);
+}
+
+inline const b2AABB& b2Fixture::GetAABB(int32 childIndex) const
+{
+ b2Assert(0 <= childIndex && childIndex < m_proxyCount);
+ return m_proxies[childIndex].aabb;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/b2Island.cpp b/src/3rdparty/Box2D/Dynamics/b2Island.cpp
new file mode 100644
index 0000000..dd19a8f
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2Island.cpp
@@ -0,0 +1,539 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Collision/b2Distance.h"
+#include "Box2D/Dynamics/b2Island.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2World.h"
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+#include "Box2D/Dynamics/Contacts/b2ContactSolver.h"
+#include "Box2D/Dynamics/Joints/b2Joint.h"
+#include "Box2D/Common/b2StackAllocator.h"
+#include "Box2D/Common/b2Timer.h"
+
+/*
+Position Correction Notes
+=========================
+I tried the several algorithms for position correction of the 2D revolute joint.
+I looked at these systems:
+- simple pendulum (1m diameter sphere on massless 5m stick) with initial angular velocity of 100 rad/s.
+- suspension bridge with 30 1m long planks of length 1m.
+- multi-link chain with 30 1m long links.
+
+Here are the algorithms:
+
+Baumgarte - A fraction of the position error is added to the velocity error. There is no
+separate position solver.
+
+Pseudo Velocities - After the velocity solver and position integration,
+the position error, Jacobian, and effective mass are recomputed. Then
+the velocity constraints are solved with pseudo velocities and a fraction
+of the position error is added to the pseudo velocity error. The pseudo
+velocities are initialized to zero and there is no warm-starting. After
+the position solver, the pseudo velocities are added to the positions.
+This is also called the First Order World method or the Position LCP method.
+
+Modified Nonlinear Gauss-Seidel (NGS) - Like Pseudo Velocities except the
+position error is re-computed for each constraint and the positions are updated
+after the constraint is solved. The radius vectors (aka Jacobians) are
+re-computed too (otherwise the algorithm has horrible instability). The pseudo
+velocity states are not needed because they are effectively zero at the beginning
+of each iteration. Since we have the current position error, we allow the
+iterations to terminate early if the error becomes smaller than b2_linearSlop.
+
+Full NGS or just NGS - Like Modified NGS except the effective mass are re-computed
+each time a constraint is solved.
+
+Here are the results:
+Baumgarte - this is the cheapest algorithm but it has some stability problems,
+especially with the bridge. The chain links separate easily close to the root
+and they jitter as they struggle to pull together. This is one of the most common
+methods in the field. The big drawback is that the position correction artificially
+affects the momentum, thus leading to instabilities and false bounce. I used a
+bias factor of 0.2. A larger bias factor makes the bridge less stable, a smaller
+factor makes joints and contacts more spongy.
+
+Pseudo Velocities - the is more stable than the Baumgarte method. The bridge is
+stable. However, joints still separate with large angular velocities. Drag the
+simple pendulum in a circle quickly and the joint will separate. The chain separates
+easily and does not recover. I used a bias factor of 0.2. A larger value lead to
+the bridge collapsing when a heavy cube drops on it.
+
+Modified NGS - this algorithm is better in some ways than Baumgarte and Pseudo
+Velocities, but in other ways it is worse. The bridge and chain are much more
+stable, but the simple pendulum goes unstable at high angular velocities.
+
+Full NGS - stable in all tests. The joints display good stiffness. The bridge
+still sags, but this is better than infinite forces.
+
+Recommendations
+Pseudo Velocities are not really worthwhile because the bridge and chain cannot
+recover from joint separation. In other cases the benefit over Baumgarte is small.
+
+Modified NGS is not a robust method for the revolute joint due to the violent
+instability seen in the simple pendulum. Perhaps it is viable with other constraint
+types, especially scalar constraints where the effective mass is a scalar.
+
+This leaves Baumgarte and Full NGS. Baumgarte has small, but manageable instabilities
+and is very fast. I don't think we can escape Baumgarte, especially in highly
+demanding cases where high constraint fidelity is not needed.
+
+Full NGS is robust and easy on the eyes. I recommend this as an option for
+higher fidelity simulation and certainly for suspension bridges and long chains.
+Full NGS might be a good choice for ragdolls, especially motorized ragdolls where
+joint separation can be problematic. The number of NGS iterations can be reduced
+for better performance without harming robustness much.
+
+Each joint in a can be handled differently in the position solver. So I recommend
+a system where the user can select the algorithm on a per joint basis. I would
+probably default to the slower Full NGS and let the user select the faster
+Baumgarte method in performance critical scenarios.
+*/
+
+/*
+Cache Performance
+
+The Box2D solvers are dominated by cache misses. Data structures are designed
+to increase the number of cache hits. Much of misses are due to random access
+to body data. The constraint structures are iterated over linearly, which leads
+to few cache misses.
+
+The bodies are not accessed during iteration. Instead read only data, such as
+the mass values are stored with the constraints. The mutable data are the constraint
+impulses and the bodies velocities/positions. The impulses are held inside the
+constraint structures. The body velocities/positions are held in compact, temporary
+arrays to increase the number of cache hits. Linear and angular velocity are
+stored in a single array since multiple arrays lead to multiple misses.
+*/
+
+/*
+2D Rotation
+
+R = [cos(theta) -sin(theta)]
+ [sin(theta) cos(theta) ]
+
+thetaDot = omega
+
+Let q1 = cos(theta), q2 = sin(theta).
+R = [q1 -q2]
+ [q2 q1]
+
+q1Dot = -thetaDot * q2
+q2Dot = thetaDot * q1
+
+q1_new = q1_old - dt * w * q2
+q2_new = q2_old + dt * w * q1
+then normalize.
+
+This might be faster than computing sin+cos.
+However, we can compute sin+cos of the same angle fast.
+*/
+
+b2Island::b2Island(
+ int32 bodyCapacity,
+ int32 contactCapacity,
+ int32 jointCapacity,
+ b2StackAllocator* allocator,
+ b2ContactListener* listener)
+{
+ m_bodyCapacity = bodyCapacity;
+ m_contactCapacity = contactCapacity;
+ m_jointCapacity = jointCapacity;
+ m_bodyCount = 0;
+ m_contactCount = 0;
+ m_jointCount = 0;
+
+ m_allocator = allocator;
+ m_listener = listener;
+
+ m_bodies = (b2Body**)m_allocator->Allocate(bodyCapacity * sizeof(b2Body*));
+ m_contacts = (b2Contact**)m_allocator->Allocate(contactCapacity * sizeof(b2Contact*));
+ m_joints = (b2Joint**)m_allocator->Allocate(jointCapacity * sizeof(b2Joint*));
+
+ m_velocities = (b2Velocity*)m_allocator->Allocate(m_bodyCapacity * sizeof(b2Velocity));
+ m_positions = (b2Position*)m_allocator->Allocate(m_bodyCapacity * sizeof(b2Position));
+}
+
+b2Island::~b2Island()
+{
+ // Warning: the order should reverse the constructor order.
+ m_allocator->Free(m_positions);
+ m_allocator->Free(m_velocities);
+ m_allocator->Free(m_joints);
+ m_allocator->Free(m_contacts);
+ m_allocator->Free(m_bodies);
+}
+
+void b2Island::Solve(b2Profile* profile, const b2TimeStep& step, const b2Vec2& gravity, bool allowSleep)
+{
+ b2Timer timer;
+
+ float32 h = step.dt;
+
+ // Integrate velocities and apply damping. Initialize the body state.
+ for (int32 i = 0; i < m_bodyCount; ++i)
+ {
+ b2Body* b = m_bodies[i];
+
+ b2Vec2 c = b->m_sweep.c;
+ float32 a = b->m_sweep.a;
+ b2Vec2 v = b->m_linearVelocity;
+ float32 w = b->m_angularVelocity;
+
+ // Store positions for continuous collision.
+ b->m_sweep.c0 = b->m_sweep.c;
+ b->m_sweep.a0 = b->m_sweep.a;
+
+ if (b->m_type == b2_dynamicBody)
+ {
+ // Integrate velocities.
+ v += h * (b->m_gravityScale * gravity + b->m_invMass * b->m_force);
+ w += h * b->m_invI * b->m_torque;
+
+ // Apply damping.
+ // ODE: dv/dt + c * v = 0
+ // Solution: v(t) = v0 * exp(-c * t)
+ // Time step: v(t + dt) = v0 * exp(-c * (t + dt)) = v0 * exp(-c * t) * exp(-c * dt) = v * exp(-c * dt)
+ // v2 = exp(-c * dt) * v1
+ // Pade approximation:
+ // v2 = v1 * 1 / (1 + c * dt)
+ v *= 1.0f / (1.0f + h * b->m_linearDamping);
+ w *= 1.0f / (1.0f + h * b->m_angularDamping);
+ }
+
+ m_positions[i].c = c;
+ m_positions[i].a = a;
+ m_velocities[i].v = v;
+ m_velocities[i].w = w;
+ }
+
+ timer.Reset();
+
+ // Solver data
+ b2SolverData solverData;
+ solverData.step = step;
+ solverData.positions = m_positions;
+ solverData.velocities = m_velocities;
+
+ // Initialize velocity constraints.
+ b2ContactSolverDef contactSolverDef;
+ contactSolverDef.step = step;
+ contactSolverDef.contacts = m_contacts;
+ contactSolverDef.count = m_contactCount;
+ contactSolverDef.positions = m_positions;
+ contactSolverDef.velocities = m_velocities;
+ contactSolverDef.allocator = m_allocator;
+
+ b2ContactSolver contactSolver(&contactSolverDef);
+ contactSolver.InitializeVelocityConstraints();
+
+ if (step.warmStarting)
+ {
+ contactSolver.WarmStart();
+ }
+
+ for (int32 i = 0; i < m_jointCount; ++i)
+ {
+ m_joints[i]->InitVelocityConstraints(solverData);
+ }
+
+ profile->solveInit = timer.GetMilliseconds();
+
+ // Solve velocity constraints
+ timer.Reset();
+ for (int32 i = 0; i < step.velocityIterations; ++i)
+ {
+ for (int32 j = 0; j < m_jointCount; ++j)
+ {
+ m_joints[j]->SolveVelocityConstraints(solverData);
+ }
+
+ contactSolver.SolveVelocityConstraints();
+ }
+
+ // Store impulses for warm starting
+ contactSolver.StoreImpulses();
+ profile->solveVelocity = timer.GetMilliseconds();
+
+ // Integrate positions
+ for (int32 i = 0; i < m_bodyCount; ++i)
+ {
+ b2Vec2 c = m_positions[i].c;
+ float32 a = m_positions[i].a;
+ b2Vec2 v = m_velocities[i].v;
+ float32 w = m_velocities[i].w;
+
+ // Check for large velocities
+ b2Vec2 translation = h * v;
+ if (b2Dot(translation, translation) > b2_maxTranslationSquared)
+ {
+ float32 ratio = b2_maxTranslation / translation.Length();
+ v *= ratio;
+ }
+
+ float32 rotation = h * w;
+ if (rotation * rotation > b2_maxRotationSquared)
+ {
+ float32 ratio = b2_maxRotation / b2Abs(rotation);
+ w *= ratio;
+ }
+
+ // Integrate
+ c += h * v;
+ a += h * w;
+
+ m_positions[i].c = c;
+ m_positions[i].a = a;
+ m_velocities[i].v = v;
+ m_velocities[i].w = w;
+ }
+
+ // Solve position constraints
+ timer.Reset();
+ bool positionSolved = false;
+ for (int32 i = 0; i < step.positionIterations; ++i)
+ {
+ bool contactsOkay = contactSolver.SolvePositionConstraints();
+
+ bool jointsOkay = true;
+ for (int32 j = 0; j < m_jointCount; ++j)
+ {
+ bool jointOkay = m_joints[j]->SolvePositionConstraints(solverData);
+ jointsOkay = jointsOkay && jointOkay;
+ }
+
+ if (contactsOkay && jointsOkay)
+ {
+ // Exit early if the position errors are small.
+ positionSolved = true;
+ break;
+ }
+ }
+
+ // Copy state buffers back to the bodies
+ for (int32 i = 0; i < m_bodyCount; ++i)
+ {
+ b2Body* body = m_bodies[i];
+ body->m_sweep.c = m_positions[i].c;
+ body->m_sweep.a = m_positions[i].a;
+ body->m_linearVelocity = m_velocities[i].v;
+ body->m_angularVelocity = m_velocities[i].w;
+ body->SynchronizeTransform();
+ }
+
+ profile->solvePosition = timer.GetMilliseconds();
+
+ Report(contactSolver.m_velocityConstraints);
+
+ if (allowSleep)
+ {
+ float32 minSleepTime = b2_maxFloat;
+
+ const float32 linTolSqr = b2_linearSleepTolerance * b2_linearSleepTolerance;
+ const float32 angTolSqr = b2_angularSleepTolerance * b2_angularSleepTolerance;
+
+ for (int32 i = 0; i < m_bodyCount; ++i)
+ {
+ b2Body* b = m_bodies[i];
+ if (b->GetType() == b2_staticBody)
+ {
+ continue;
+ }
+
+ if ((b->m_flags & b2Body::e_autoSleepFlag) == 0 ||
+ b->m_angularVelocity * b->m_angularVelocity > angTolSqr ||
+ b2Dot(b->m_linearVelocity, b->m_linearVelocity) > linTolSqr)
+ {
+ b->m_sleepTime = 0.0f;
+ minSleepTime = 0.0f;
+ }
+ else
+ {
+ b->m_sleepTime += h;
+ minSleepTime = b2Min(minSleepTime, b->m_sleepTime);
+ }
+ }
+
+ if (minSleepTime >= b2_timeToSleep && positionSolved)
+ {
+ for (int32 i = 0; i < m_bodyCount; ++i)
+ {
+ b2Body* b = m_bodies[i];
+ b->SetAwake(false);
+ }
+ }
+ }
+}
+
+void b2Island::SolveTOI(const b2TimeStep& subStep, int32 toiIndexA, int32 toiIndexB)
+{
+ b2Assert(toiIndexA < m_bodyCount);
+ b2Assert(toiIndexB < m_bodyCount);
+
+ // Initialize the body state.
+ for (int32 i = 0; i < m_bodyCount; ++i)
+ {
+ b2Body* b = m_bodies[i];
+ m_positions[i].c = b->m_sweep.c;
+ m_positions[i].a = b->m_sweep.a;
+ m_velocities[i].v = b->m_linearVelocity;
+ m_velocities[i].w = b->m_angularVelocity;
+ }
+
+ b2ContactSolverDef contactSolverDef;
+ contactSolverDef.contacts = m_contacts;
+ contactSolverDef.count = m_contactCount;
+ contactSolverDef.allocator = m_allocator;
+ contactSolverDef.step = subStep;
+ contactSolverDef.positions = m_positions;
+ contactSolverDef.velocities = m_velocities;
+ b2ContactSolver contactSolver(&contactSolverDef);
+
+ // Solve position constraints.
+ for (int32 i = 0; i < subStep.positionIterations; ++i)
+ {
+ bool contactsOkay = contactSolver.SolveTOIPositionConstraints(toiIndexA, toiIndexB);
+ if (contactsOkay)
+ {
+ break;
+ }
+ }
+
+#if 0
+ // Is the new position really safe?
+ for (int32 i = 0; i < m_contactCount; ++i)
+ {
+ b2Contact* c = m_contacts[i];
+ b2Fixture* fA = c->GetFixtureA();
+ b2Fixture* fB = c->GetFixtureB();
+
+ b2Body* bA = fA->GetBody();
+ b2Body* bB = fB->GetBody();
+
+ int32 indexA = c->GetChildIndexA();
+ int32 indexB = c->GetChildIndexB();
+
+ b2DistanceInput input;
+ input.proxyA.Set(fA->GetShape(), indexA);
+ input.proxyB.Set(fB->GetShape(), indexB);
+ input.transformA = bA->GetTransform();
+ input.transformB = bB->GetTransform();
+ input.useRadii = false;
+
+ b2DistanceOutput output;
+ b2SimplexCache cache;
+ cache.count = 0;
+ b2Distance(&output, &cache, &input);
+
+ if (output.distance == 0 || cache.count == 3)
+ {
+ cache.count += 0;
+ }
+ }
+#endif
+
+ // Leap of faith to new safe state.
+ m_bodies[toiIndexA]->m_sweep.c0 = m_positions[toiIndexA].c;
+ m_bodies[toiIndexA]->m_sweep.a0 = m_positions[toiIndexA].a;
+ m_bodies[toiIndexB]->m_sweep.c0 = m_positions[toiIndexB].c;
+ m_bodies[toiIndexB]->m_sweep.a0 = m_positions[toiIndexB].a;
+
+ // No warm starting is needed for TOI events because warm
+ // starting impulses were applied in the discrete solver.
+ contactSolver.InitializeVelocityConstraints();
+
+ // Solve velocity constraints.
+ for (int32 i = 0; i < subStep.velocityIterations; ++i)
+ {
+ contactSolver.SolveVelocityConstraints();
+ }
+
+ // Don't store the TOI contact forces for warm starting
+ // because they can be quite large.
+
+ float32 h = subStep.dt;
+
+ // Integrate positions
+ for (int32 i = 0; i < m_bodyCount; ++i)
+ {
+ b2Vec2 c = m_positions[i].c;
+ float32 a = m_positions[i].a;
+ b2Vec2 v = m_velocities[i].v;
+ float32 w = m_velocities[i].w;
+
+ // Check for large velocities
+ b2Vec2 translation = h * v;
+ if (b2Dot(translation, translation) > b2_maxTranslationSquared)
+ {
+ float32 ratio = b2_maxTranslation / translation.Length();
+ v *= ratio;
+ }
+
+ float32 rotation = h * w;
+ if (rotation * rotation > b2_maxRotationSquared)
+ {
+ float32 ratio = b2_maxRotation / b2Abs(rotation);
+ w *= ratio;
+ }
+
+ // Integrate
+ c += h * v;
+ a += h * w;
+
+ m_positions[i].c = c;
+ m_positions[i].a = a;
+ m_velocities[i].v = v;
+ m_velocities[i].w = w;
+
+ // Sync bodies
+ b2Body* body = m_bodies[i];
+ body->m_sweep.c = c;
+ body->m_sweep.a = a;
+ body->m_linearVelocity = v;
+ body->m_angularVelocity = w;
+ body->SynchronizeTransform();
+ }
+
+ Report(contactSolver.m_velocityConstraints);
+}
+
+void b2Island::Report(const b2ContactVelocityConstraint* constraints)
+{
+ if (m_listener == nullptr)
+ {
+ return;
+ }
+
+ for (int32 i = 0; i < m_contactCount; ++i)
+ {
+ b2Contact* c = m_contacts[i];
+
+ const b2ContactVelocityConstraint* vc = constraints + i;
+
+ b2ContactImpulse impulse;
+ impulse.count = vc->pointCount;
+ for (int32 j = 0; j < vc->pointCount; ++j)
+ {
+ impulse.normalImpulses[j] = vc->points[j].normalImpulse;
+ impulse.tangentImpulses[j] = vc->points[j].tangentImpulse;
+ }
+
+ m_listener->PostSolve(c, &impulse);
+ }
+}
diff --git a/src/3rdparty/Box2D/Dynamics/b2Island.h b/src/3rdparty/Box2D/Dynamics/b2Island.h
new file mode 100644
index 0000000..68f6d4b
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2Island.h
@@ -0,0 +1,93 @@
+/*
+* 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_ISLAND_H
+#define B2_ISLAND_H
+
+#include "Box2D/Common/b2Math.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+class b2Contact;
+class b2Joint;
+class b2StackAllocator;
+class b2ContactListener;
+struct b2ContactVelocityConstraint;
+struct b2Profile;
+
+/// This is an internal class.
+class b2Island
+{
+public:
+ b2Island(int32 bodyCapacity, int32 contactCapacity, int32 jointCapacity,
+ b2StackAllocator* allocator, b2ContactListener* listener);
+ ~b2Island();
+
+ void Clear()
+ {
+ m_bodyCount = 0;
+ m_contactCount = 0;
+ m_jointCount = 0;
+ }
+
+ void Solve(b2Profile* profile, const b2TimeStep& step, const b2Vec2& gravity, bool allowSleep);
+
+ void SolveTOI(const b2TimeStep& subStep, int32 toiIndexA, int32 toiIndexB);
+
+ void Add(b2Body* body)
+ {
+ b2Assert(m_bodyCount < m_bodyCapacity);
+ body->m_islandIndex = m_bodyCount;
+ m_bodies[m_bodyCount] = body;
+ ++m_bodyCount;
+ }
+
+ void Add(b2Contact* contact)
+ {
+ b2Assert(m_contactCount < m_contactCapacity);
+ m_contacts[m_contactCount++] = contact;
+ }
+
+ void Add(b2Joint* joint)
+ {
+ b2Assert(m_jointCount < m_jointCapacity);
+ m_joints[m_jointCount++] = joint;
+ }
+
+ void Report(const b2ContactVelocityConstraint* constraints);
+
+ b2StackAllocator* m_allocator;
+ b2ContactListener* m_listener;
+
+ b2Body** m_bodies;
+ b2Contact** m_contacts;
+ b2Joint** m_joints;
+
+ b2Position* m_positions;
+ b2Velocity* m_velocities;
+
+ int32 m_bodyCount;
+ int32 m_jointCount;
+ int32 m_contactCount;
+
+ int32 m_bodyCapacity;
+ int32 m_contactCapacity;
+ int32 m_jointCapacity;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/b2TimeStep.h b/src/3rdparty/Box2D/Dynamics/b2TimeStep.h
new file mode 100644
index 0000000..72a4838
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2TimeStep.h
@@ -0,0 +1,70 @@
+/*
+* Copyright (c) 2006-2011 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_STEP_H
+#define B2_TIME_STEP_H
+
+#include "Box2D/Common/b2Math.h"
+
+/// Profiling data. Times are in milliseconds.
+struct b2Profile
+{
+ float32 step;
+ float32 collide;
+ float32 solve;
+ float32 solveInit;
+ float32 solveVelocity;
+ float32 solvePosition;
+ float32 broadphase;
+ float32 solveTOI;
+};
+
+/// This is an internal structure.
+struct b2TimeStep
+{
+ float32 dt; // time step
+ float32 inv_dt; // inverse time step (0 if dt == 0).
+ float32 dtRatio; // dt * inv_dt0
+ int32 velocityIterations;
+ int32 positionIterations;
+ bool warmStarting;
+};
+
+/// This is an internal structure.
+struct b2Position
+{
+ b2Vec2 c;
+ float32 a;
+};
+
+/// This is an internal structure.
+struct b2Velocity
+{
+ b2Vec2 v;
+ float32 w;
+};
+
+/// Solver Data
+struct b2SolverData
+{
+ b2TimeStep step;
+ b2Position* positions;
+ b2Velocity* velocities;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/b2World.cpp b/src/3rdparty/Box2D/Dynamics/b2World.cpp
new file mode 100644
index 0000000..f21812e
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2World.cpp
@@ -0,0 +1,1366 @@
+/*
+* Copyright (c) 2006-2011 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 "Box2D/Dynamics/b2World.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+#include "Box2D/Dynamics/b2Island.h"
+#include "Box2D/Dynamics/Joints/b2PulleyJoint.h"
+#include "Box2D/Dynamics/Contacts/b2Contact.h"
+#include "Box2D/Dynamics/Contacts/b2ContactSolver.h"
+#include "Box2D/Collision/b2Collision.h"
+#include "Box2D/Collision/b2BroadPhase.h"
+#include "Box2D/Collision/Shapes/b2CircleShape.h"
+#include "Box2D/Collision/Shapes/b2EdgeShape.h"
+#include "Box2D/Collision/Shapes/b2ChainShape.h"
+#include "Box2D/Collision/Shapes/b2PolygonShape.h"
+#include "Box2D/Collision/b2TimeOfImpact.h"
+#include "Box2D/Common/b2Draw.h"
+#include "Box2D/Common/b2Timer.h"
+#include <new>
+
+b2World::b2World(const b2Vec2& gravity)
+{
+ m_destructionListener = nullptr;
+ m_debugDraw = nullptr;
+
+ m_bodyList = nullptr;
+ m_jointList = nullptr;
+
+ m_bodyCount = 0;
+ m_jointCount = 0;
+
+ m_warmStarting = true;
+ m_continuousPhysics = true;
+ m_subStepping = false;
+
+ m_stepComplete = true;
+
+ m_allowSleep = true;
+ m_gravity = gravity;
+
+ m_flags = e_clearForces;
+
+ m_inv_dt0 = 0.0f;
+
+ m_contactManager.m_allocator = &m_blockAllocator;
+
+ memset(&m_profile, 0, sizeof(b2Profile));
+}
+
+b2World::~b2World()
+{
+ // Some shapes allocate using b2Alloc.
+ b2Body* b = m_bodyList;
+ while (b)
+ {
+ b2Body* bNext = b->m_next;
+
+ b2Fixture* f = b->m_fixtureList;
+ while (f)
+ {
+ b2Fixture* fNext = f->m_next;
+ f->m_proxyCount = 0;
+ f->Destroy(&m_blockAllocator);
+ f = fNext;
+ }
+
+ b = bNext;
+ }
+}
+
+void b2World::SetDestructionListener(b2DestructionListener* listener)
+{
+ m_destructionListener = listener;
+}
+
+void b2World::SetContactFilter(b2ContactFilter* filter)
+{
+ m_contactManager.m_contactFilter = filter;
+}
+
+void b2World::SetContactListener(b2ContactListener* listener)
+{
+ m_contactManager.m_contactListener = listener;
+}
+
+void b2World::SetDebugDraw(b2Draw* debugDraw)
+{
+ m_debugDraw = debugDraw;
+}
+
+b2Body* b2World::CreateBody(const b2BodyDef* def)
+{
+ b2Assert(IsLocked() == false);
+ if (IsLocked())
+ {
+ return nullptr;
+ }
+
+ void* mem = m_blockAllocator.Allocate(sizeof(b2Body));
+ b2Body* b = new (mem) b2Body(def, this);
+
+ // Add to world doubly linked list.
+ b->m_prev = nullptr;
+ b->m_next = m_bodyList;
+ if (m_bodyList)
+ {
+ m_bodyList->m_prev = b;
+ }
+ m_bodyList = b;
+ ++m_bodyCount;
+
+ return b;
+}
+
+void b2World::DestroyBody(b2Body* b)
+{
+ b2Assert(m_bodyCount > 0);
+ b2Assert(IsLocked() == false);
+ if (IsLocked())
+ {
+ return;
+ }
+
+ // Delete the attached joints.
+ b2JointEdge* je = b->m_jointList;
+ while (je)
+ {
+ b2JointEdge* je0 = je;
+ je = je->next;
+
+ if (m_destructionListener)
+ {
+ m_destructionListener->SayGoodbye(je0->joint);
+ }
+
+ DestroyJoint(je0->joint);
+
+ b->m_jointList = je;
+ }
+ b->m_jointList = nullptr;
+
+ // Delete the attached contacts.
+ b2ContactEdge* ce = b->m_contactList;
+ while (ce)
+ {
+ b2ContactEdge* ce0 = ce;
+ ce = ce->next;
+ m_contactManager.Destroy(ce0->contact);
+ }
+ b->m_contactList = nullptr;
+
+ // Delete the attached fixtures. This destroys broad-phase proxies.
+ b2Fixture* f = b->m_fixtureList;
+ while (f)
+ {
+ b2Fixture* f0 = f;
+ f = f->m_next;
+
+ if (m_destructionListener)
+ {
+ m_destructionListener->SayGoodbye(f0);
+ }
+
+ f0->DestroyProxies(&m_contactManager.m_broadPhase);
+ f0->Destroy(&m_blockAllocator);
+ f0->~b2Fixture();
+ m_blockAllocator.Free(f0, sizeof(b2Fixture));
+
+ b->m_fixtureList = f;
+ b->m_fixtureCount -= 1;
+ }
+ b->m_fixtureList = nullptr;
+ b->m_fixtureCount = 0;
+
+ // Remove world body list.
+ if (b->m_prev)
+ {
+ b->m_prev->m_next = b->m_next;
+ }
+
+ if (b->m_next)
+ {
+ b->m_next->m_prev = b->m_prev;
+ }
+
+ if (b == m_bodyList)
+ {
+ m_bodyList = b->m_next;
+ }
+
+ --m_bodyCount;
+ b->~b2Body();
+ m_blockAllocator.Free(b, sizeof(b2Body));
+}
+
+b2Joint* b2World::CreateJoint(const b2JointDef* def)
+{
+ b2Assert(IsLocked() == false);
+ if (IsLocked())
+ {
+ return nullptr;
+ }
+
+ b2Joint* j = b2Joint::Create(def, &m_blockAllocator);
+
+ // Connect to the world list.
+ j->m_prev = nullptr;
+ j->m_next = m_jointList;
+ if (m_jointList)
+ {
+ m_jointList->m_prev = j;
+ }
+ m_jointList = j;
+ ++m_jointCount;
+
+ // Connect to the bodies' doubly linked lists.
+ j->m_edgeA.joint = j;
+ j->m_edgeA.other = j->m_bodyB;
+ j->m_edgeA.prev = nullptr;
+ j->m_edgeA.next = j->m_bodyA->m_jointList;
+ if (j->m_bodyA->m_jointList) j->m_bodyA->m_jointList->prev = &j->m_edgeA;
+ j->m_bodyA->m_jointList = &j->m_edgeA;
+
+ j->m_edgeB.joint = j;
+ j->m_edgeB.other = j->m_bodyA;
+ j->m_edgeB.prev = nullptr;
+ j->m_edgeB.next = j->m_bodyB->m_jointList;
+ if (j->m_bodyB->m_jointList) j->m_bodyB->m_jointList->prev = &j->m_edgeB;
+ j->m_bodyB->m_jointList = &j->m_edgeB;
+
+ b2Body* bodyA = def->bodyA;
+ b2Body* bodyB = def->bodyB;
+
+ // If the joint prevents collisions, then flag any contacts for filtering.
+ if (def->collideConnected == false)
+ {
+ b2ContactEdge* edge = bodyB->GetContactList();
+ while (edge)
+ {
+ if (edge->other == bodyA)
+ {
+ // Flag the contact for filtering at the next time step (where either
+ // body is awake).
+ edge->contact->FlagForFiltering();
+ }
+
+ edge = edge->next;
+ }
+ }
+
+ // Note: creating a joint doesn't wake the bodies.
+
+ return j;
+}
+
+void b2World::DestroyJoint(b2Joint* j)
+{
+ b2Assert(IsLocked() == false);
+ if (IsLocked())
+ {
+ return;
+ }
+
+ bool collideConnected = j->m_collideConnected;
+
+ // Remove from the doubly linked list.
+ if (j->m_prev)
+ {
+ j->m_prev->m_next = j->m_next;
+ }
+
+ if (j->m_next)
+ {
+ j->m_next->m_prev = j->m_prev;
+ }
+
+ if (j == m_jointList)
+ {
+ m_jointList = j->m_next;
+ }
+
+ // Disconnect from island graph.
+ b2Body* bodyA = j->m_bodyA;
+ b2Body* bodyB = j->m_bodyB;
+
+ // Wake up connected bodies.
+ bodyA->SetAwake(true);
+ bodyB->SetAwake(true);
+
+ // Remove from body 1.
+ if (j->m_edgeA.prev)
+ {
+ j->m_edgeA.prev->next = j->m_edgeA.next;
+ }
+
+ if (j->m_edgeA.next)
+ {
+ j->m_edgeA.next->prev = j->m_edgeA.prev;
+ }
+
+ if (&j->m_edgeA == bodyA->m_jointList)
+ {
+ bodyA->m_jointList = j->m_edgeA.next;
+ }
+
+ j->m_edgeA.prev = nullptr;
+ j->m_edgeA.next = nullptr;
+
+ // Remove from body 2
+ if (j->m_edgeB.prev)
+ {
+ j->m_edgeB.prev->next = j->m_edgeB.next;
+ }
+
+ if (j->m_edgeB.next)
+ {
+ j->m_edgeB.next->prev = j->m_edgeB.prev;
+ }
+
+ if (&j->m_edgeB == bodyB->m_jointList)
+ {
+ bodyB->m_jointList = j->m_edgeB.next;
+ }
+
+ j->m_edgeB.prev = nullptr;
+ j->m_edgeB.next = nullptr;
+
+ b2Joint::Destroy(j, &m_blockAllocator);
+
+ b2Assert(m_jointCount > 0);
+ --m_jointCount;
+
+ // If the joint prevents collisions, then flag any contacts for filtering.
+ if (collideConnected == false)
+ {
+ b2ContactEdge* edge = bodyB->GetContactList();
+ while (edge)
+ {
+ if (edge->other == bodyA)
+ {
+ // Flag the contact for filtering at the next time step (where either
+ // body is awake).
+ edge->contact->FlagForFiltering();
+ }
+
+ edge = edge->next;
+ }
+ }
+}
+
+//
+void b2World::SetAllowSleeping(bool flag)
+{
+ if (flag == m_allowSleep)
+ {
+ return;
+ }
+
+ m_allowSleep = flag;
+ if (m_allowSleep == false)
+ {
+ for (b2Body* b = m_bodyList; b; b = b->m_next)
+ {
+ b->SetAwake(true);
+ }
+ }
+}
+
+// Find islands, integrate and solve constraints, solve position constraints
+void b2World::Solve(const b2TimeStep& step)
+{
+ m_profile.solveInit = 0.0f;
+ m_profile.solveVelocity = 0.0f;
+ m_profile.solvePosition = 0.0f;
+
+ // Size the island for the worst case.
+ b2Island island(m_bodyCount,
+ m_contactManager.m_contactCount,
+ m_jointCount,
+ &m_stackAllocator,
+ m_contactManager.m_contactListener);
+
+ // Clear all the island flags.
+ for (b2Body* b = m_bodyList; b; b = b->m_next)
+ {
+ b->m_flags &= ~b2Body::e_islandFlag;
+ }
+ for (b2Contact* c = m_contactManager.m_contactList; c; c = c->m_next)
+ {
+ c->m_flags &= ~b2Contact::e_islandFlag;
+ }
+ for (b2Joint* j = m_jointList; j; j = j->m_next)
+ {
+ j->m_islandFlag = false;
+ }
+
+ // Build and simulate all awake islands.
+ int32 stackSize = m_bodyCount;
+ b2Body** stack = (b2Body**)m_stackAllocator.Allocate(stackSize * sizeof(b2Body*));
+ for (b2Body* seed = m_bodyList; seed; seed = seed->m_next)
+ {
+ if (seed->m_flags & b2Body::e_islandFlag)
+ {
+ continue;
+ }
+
+ if (seed->IsAwake() == false || seed->IsActive() == false)
+ {
+ continue;
+ }
+
+ // The seed can be dynamic or kinematic.
+ if (seed->GetType() == b2_staticBody)
+ {
+ continue;
+ }
+
+ // Reset island and stack.
+ island.Clear();
+ int32 stackCount = 0;
+ stack[stackCount++] = seed;
+ seed->m_flags |= b2Body::e_islandFlag;
+
+ // Perform a depth first search (DFS) on the constraint graph.
+ while (stackCount > 0)
+ {
+ // Grab the next body off the stack and add it to the island.
+ b2Body* b = stack[--stackCount];
+ b2Assert(b->IsActive() == true);
+ island.Add(b);
+
+ // Make sure the body is awake (without resetting sleep timer).
+ b->m_flags |= b2Body::e_awakeFlag;
+
+ // To keep islands as small as possible, we don't
+ // propagate islands across static bodies.
+ if (b->GetType() == b2_staticBody)
+ {
+ continue;
+ }
+
+ // Search all contacts connected to this body.
+ for (b2ContactEdge* ce = b->m_contactList; ce; ce = ce->next)
+ {
+ b2Contact* contact = ce->contact;
+
+ // Has this contact already been added to an island?
+ if (contact->m_flags & b2Contact::e_islandFlag)
+ {
+ continue;
+ }
+
+ // Is this contact solid and touching?
+ if (contact->IsEnabled() == false ||
+ contact->IsTouching() == false)
+ {
+ continue;
+ }
+
+ // Skip sensors.
+ bool sensorA = contact->m_fixtureA->m_isSensor;
+ bool sensorB = contact->m_fixtureB->m_isSensor;
+ if (sensorA || sensorB)
+ {
+ continue;
+ }
+
+ island.Add(contact);
+ contact->m_flags |= b2Contact::e_islandFlag;
+
+ b2Body* other = ce->other;
+
+ // Was the other body already added to this island?
+ if (other->m_flags & b2Body::e_islandFlag)
+ {
+ continue;
+ }
+
+ b2Assert(stackCount < stackSize);
+ stack[stackCount++] = other;
+ other->m_flags |= b2Body::e_islandFlag;
+ }
+
+ // Search all joints connect to this body.
+ for (b2JointEdge* je = b->m_jointList; je; je = je->next)
+ {
+ if (je->joint->m_islandFlag == true)
+ {
+ continue;
+ }
+
+ b2Body* other = je->other;
+
+ // Don't simulate joints connected to inactive bodies.
+ if (other->IsActive() == false)
+ {
+ continue;
+ }
+
+ island.Add(je->joint);
+ je->joint->m_islandFlag = true;
+
+ if (other->m_flags & b2Body::e_islandFlag)
+ {
+ continue;
+ }
+
+ b2Assert(stackCount < stackSize);
+ stack[stackCount++] = other;
+ other->m_flags |= b2Body::e_islandFlag;
+ }
+ }
+
+ b2Profile profile;
+ island.Solve(&profile, step, m_gravity, m_allowSleep);
+ m_profile.solveInit += profile.solveInit;
+ m_profile.solveVelocity += profile.solveVelocity;
+ m_profile.solvePosition += profile.solvePosition;
+
+ // Post solve cleanup.
+ for (int32 i = 0; i < island.m_bodyCount; ++i)
+ {
+ // Allow static bodies to participate in other islands.
+ b2Body* b = island.m_bodies[i];
+ if (b->GetType() == b2_staticBody)
+ {
+ b->m_flags &= ~b2Body::e_islandFlag;
+ }
+ }
+ }
+
+ m_stackAllocator.Free(stack);
+
+ {
+ b2Timer timer;
+ // Synchronize fixtures, check for out of range bodies.
+ for (b2Body* b = m_bodyList; b; b = b->GetNext())
+ {
+ // If a body was not in an island then it did not move.
+ if ((b->m_flags & b2Body::e_islandFlag) == 0)
+ {
+ continue;
+ }
+
+ if (b->GetType() == b2_staticBody)
+ {
+ continue;
+ }
+
+ // Update fixtures (for broad-phase).
+ b->SynchronizeFixtures();
+ }
+
+ // Look for new contacts.
+ m_contactManager.FindNewContacts();
+ m_profile.broadphase = timer.GetMilliseconds();
+ }
+}
+
+// Find TOI contacts and solve them.
+void b2World::SolveTOI(const b2TimeStep& step)
+{
+ b2Island island(2 * b2_maxTOIContacts, b2_maxTOIContacts, 0, &m_stackAllocator, m_contactManager.m_contactListener);
+
+ if (m_stepComplete)
+ {
+ for (b2Body* b = m_bodyList; b; b = b->m_next)
+ {
+ b->m_flags &= ~b2Body::e_islandFlag;
+ b->m_sweep.alpha0 = 0.0f;
+ }
+
+ for (b2Contact* c = m_contactManager.m_contactList; c; c = c->m_next)
+ {
+ // Invalidate TOI
+ c->m_flags &= ~(b2Contact::e_toiFlag | b2Contact::e_islandFlag);
+ c->m_toiCount = 0;
+ c->m_toi = 1.0f;
+ }
+ }
+
+ // Find TOI events and solve them.
+ for (;;)
+ {
+ // Find the first TOI.
+ b2Contact* minContact = nullptr;
+ float32 minAlpha = 1.0f;
+
+ for (b2Contact* c = m_contactManager.m_contactList; c; c = c->m_next)
+ {
+ // Is this contact disabled?
+ if (c->IsEnabled() == false)
+ {
+ continue;
+ }
+
+ // Prevent excessive sub-stepping.
+ if (c->m_toiCount > b2_maxSubSteps)
+ {
+ continue;
+ }
+
+ float32 alpha = 1.0f;
+ if (c->m_flags & b2Contact::e_toiFlag)
+ {
+ // This contact has a valid cached TOI.
+ alpha = c->m_toi;
+ }
+ else
+ {
+ b2Fixture* fA = c->GetFixtureA();
+ b2Fixture* fB = c->GetFixtureB();
+
+ // Is there a sensor?
+ if (fA->IsSensor() || fB->IsSensor())
+ {
+ continue;
+ }
+
+ b2Body* bA = fA->GetBody();
+ b2Body* bB = fB->GetBody();
+
+ b2BodyType typeA = bA->m_type;
+ b2BodyType typeB = bB->m_type;
+ b2Assert(typeA == b2_dynamicBody || typeB == b2_dynamicBody);
+
+ bool activeA = bA->IsAwake() && typeA != b2_staticBody;
+ bool activeB = bB->IsAwake() && typeB != b2_staticBody;
+
+ // Is at least one body active (awake and dynamic or kinematic)?
+ if (activeA == false && activeB == false)
+ {
+ continue;
+ }
+
+ bool collideA = bA->IsBullet() || typeA != b2_dynamicBody;
+ bool collideB = bB->IsBullet() || typeB != b2_dynamicBody;
+
+ // Are these two non-bullet dynamic bodies?
+ if (collideA == false && collideB == false)
+ {
+ continue;
+ }
+
+ // Compute the TOI for this contact.
+ // Put the sweeps onto the same time interval.
+ float32 alpha0 = bA->m_sweep.alpha0;
+
+ if (bA->m_sweep.alpha0 < bB->m_sweep.alpha0)
+ {
+ alpha0 = bB->m_sweep.alpha0;
+ bA->m_sweep.Advance(alpha0);
+ }
+ else if (bB->m_sweep.alpha0 < bA->m_sweep.alpha0)
+ {
+ alpha0 = bA->m_sweep.alpha0;
+ bB->m_sweep.Advance(alpha0);
+ }
+
+ b2Assert(alpha0 < 1.0f);
+
+ int32 indexA = c->GetChildIndexA();
+ int32 indexB = c->GetChildIndexB();
+
+ // Compute the time of impact in interval [0, minTOI]
+ b2TOIInput input;
+ input.proxyA.Set(fA->GetShape(), indexA);
+ input.proxyB.Set(fB->GetShape(), indexB);
+ input.sweepA = bA->m_sweep;
+ input.sweepB = bB->m_sweep;
+ input.tMax = 1.0f;
+
+ b2TOIOutput output;
+ b2TimeOfImpact(&output, &input);
+
+ // Beta is the fraction of the remaining portion of the .
+ float32 beta = output.t;
+ if (output.state == b2TOIOutput::e_touching)
+ {
+ alpha = b2Min(alpha0 + (1.0f - alpha0) * beta, 1.0f);
+ }
+ else
+ {
+ alpha = 1.0f;
+ }
+
+ c->m_toi = alpha;
+ c->m_flags |= b2Contact::e_toiFlag;
+ }
+
+ if (alpha < minAlpha)
+ {
+ // This is the minimum TOI found so far.
+ minContact = c;
+ minAlpha = alpha;
+ }
+ }
+
+ if (minContact == nullptr || 1.0f - 10.0f * b2_epsilon < minAlpha)
+ {
+ // No more TOI events. Done!
+ m_stepComplete = true;
+ break;
+ }
+
+ // Advance the bodies to the TOI.
+ b2Fixture* fA = minContact->GetFixtureA();
+ b2Fixture* fB = minContact->GetFixtureB();
+ b2Body* bA = fA->GetBody();
+ b2Body* bB = fB->GetBody();
+
+ b2Sweep backup1 = bA->m_sweep;
+ b2Sweep backup2 = bB->m_sweep;
+
+ bA->Advance(minAlpha);
+ bB->Advance(minAlpha);
+
+ // The TOI contact likely has some new contact points.
+ minContact->Update(m_contactManager.m_contactListener);
+ minContact->m_flags &= ~b2Contact::e_toiFlag;
+ ++minContact->m_toiCount;
+
+ // Is the contact solid?
+ if (minContact->IsEnabled() == false || minContact->IsTouching() == false)
+ {
+ // Restore the sweeps.
+ minContact->SetEnabled(false);
+ bA->m_sweep = backup1;
+ bB->m_sweep = backup2;
+ bA->SynchronizeTransform();
+ bB->SynchronizeTransform();
+ continue;
+ }
+
+ bA->SetAwake(true);
+ bB->SetAwake(true);
+
+ // Build the island
+ island.Clear();
+ island.Add(bA);
+ island.Add(bB);
+ island.Add(minContact);
+
+ bA->m_flags |= b2Body::e_islandFlag;
+ bB->m_flags |= b2Body::e_islandFlag;
+ minContact->m_flags |= b2Contact::e_islandFlag;
+
+ // Get contacts on bodyA and bodyB.
+ b2Body* bodies[2] = {bA, bB};
+ for (int32 i = 0; i < 2; ++i)
+ {
+ b2Body* body = bodies[i];
+ if (body->m_type == b2_dynamicBody)
+ {
+ for (b2ContactEdge* ce = body->m_contactList; ce; ce = ce->next)
+ {
+ if (island.m_bodyCount == island.m_bodyCapacity)
+ {
+ break;
+ }
+
+ if (island.m_contactCount == island.m_contactCapacity)
+ {
+ break;
+ }
+
+ b2Contact* contact = ce->contact;
+
+ // Has this contact already been added to the island?
+ if (contact->m_flags & b2Contact::e_islandFlag)
+ {
+ continue;
+ }
+
+ // Only add static, kinematic, or bullet bodies.
+ b2Body* other = ce->other;
+ if (other->m_type == b2_dynamicBody &&
+ body->IsBullet() == false && other->IsBullet() == false)
+ {
+ continue;
+ }
+
+ // Skip sensors.
+ bool sensorA = contact->m_fixtureA->m_isSensor;
+ bool sensorB = contact->m_fixtureB->m_isSensor;
+ if (sensorA || sensorB)
+ {
+ continue;
+ }
+
+ // Tentatively advance the body to the TOI.
+ b2Sweep backup = other->m_sweep;
+ if ((other->m_flags & b2Body::e_islandFlag) == 0)
+ {
+ other->Advance(minAlpha);
+ }
+
+ // Update the contact points
+ contact->Update(m_contactManager.m_contactListener);
+
+ // Was the contact disabled by the user?
+ if (contact->IsEnabled() == false)
+ {
+ other->m_sweep = backup;
+ other->SynchronizeTransform();
+ continue;
+ }
+
+ // Are there contact points?
+ if (contact->IsTouching() == false)
+ {
+ other->m_sweep = backup;
+ other->SynchronizeTransform();
+ continue;
+ }
+
+ // Add the contact to the island
+ contact->m_flags |= b2Contact::e_islandFlag;
+ island.Add(contact);
+
+ // Has the other body already been added to the island?
+ if (other->m_flags & b2Body::e_islandFlag)
+ {
+ continue;
+ }
+
+ // Add the other body to the island.
+ other->m_flags |= b2Body::e_islandFlag;
+
+ if (other->m_type != b2_staticBody)
+ {
+ other->SetAwake(true);
+ }
+
+ island.Add(other);
+ }
+ }
+ }
+
+ b2TimeStep subStep;
+ subStep.dt = (1.0f - minAlpha) * step.dt;
+ subStep.inv_dt = 1.0f / subStep.dt;
+ subStep.dtRatio = 1.0f;
+ subStep.positionIterations = 20;
+ subStep.velocityIterations = step.velocityIterations;
+ subStep.warmStarting = false;
+ island.SolveTOI(subStep, bA->m_islandIndex, bB->m_islandIndex);
+
+ // Reset island flags and synchronize broad-phase proxies.
+ for (int32 i = 0; i < island.m_bodyCount; ++i)
+ {
+ b2Body* body = island.m_bodies[i];
+ body->m_flags &= ~b2Body::e_islandFlag;
+
+ if (body->m_type != b2_dynamicBody)
+ {
+ continue;
+ }
+
+ body->SynchronizeFixtures();
+
+ // Invalidate all contact TOIs on this displaced body.
+ for (b2ContactEdge* ce = body->m_contactList; ce; ce = ce->next)
+ {
+ ce->contact->m_flags &= ~(b2Contact::e_toiFlag | b2Contact::e_islandFlag);
+ }
+ }
+
+ // Commit fixture proxy movements to the broad-phase so that new contacts are created.
+ // Also, some contacts can be destroyed.
+ m_contactManager.FindNewContacts();
+
+ if (m_subStepping)
+ {
+ m_stepComplete = false;
+ break;
+ }
+ }
+}
+
+void b2World::Step(float32 dt, int32 velocityIterations, int32 positionIterations)
+{
+ b2Timer stepTimer;
+
+ // If new fixtures were added, we need to find the new contacts.
+ if (m_flags & e_newFixture)
+ {
+ m_contactManager.FindNewContacts();
+ m_flags &= ~e_newFixture;
+ }
+
+ m_flags |= e_locked;
+
+ b2TimeStep step;
+ step.dt = dt;
+ step.velocityIterations = velocityIterations;
+ step.positionIterations = positionIterations;
+ if (dt > 0.0f)
+ {
+ step.inv_dt = 1.0f / dt;
+ }
+ else
+ {
+ step.inv_dt = 0.0f;
+ }
+
+ step.dtRatio = m_inv_dt0 * dt;
+
+ step.warmStarting = m_warmStarting;
+
+ // Update contacts. This is where some contacts are destroyed.
+ {
+ b2Timer timer;
+ m_contactManager.Collide();
+ m_profile.collide = timer.GetMilliseconds();
+ }
+
+ // Integrate velocities, solve velocity constraints, and integrate positions.
+ if (m_stepComplete && step.dt > 0.0f)
+ {
+ b2Timer timer;
+ Solve(step);
+ m_profile.solve = timer.GetMilliseconds();
+ }
+
+ // Handle TOI events.
+ if (m_continuousPhysics && step.dt > 0.0f)
+ {
+ b2Timer timer;
+ SolveTOI(step);
+ m_profile.solveTOI = timer.GetMilliseconds();
+ }
+
+ if (step.dt > 0.0f)
+ {
+ m_inv_dt0 = step.inv_dt;
+ }
+
+ if (m_flags & e_clearForces)
+ {
+ ClearForces();
+ }
+
+ m_flags &= ~e_locked;
+
+ m_profile.step = stepTimer.GetMilliseconds();
+}
+
+void b2World::ClearForces()
+{
+ for (b2Body* body = m_bodyList; body; body = body->GetNext())
+ {
+ body->m_force.SetZero();
+ body->m_torque = 0.0f;
+ }
+}
+
+struct b2WorldQueryWrapper
+{
+ bool QueryCallback(int32 proxyId)
+ {
+ b2FixtureProxy* proxy = (b2FixtureProxy*)broadPhase->GetUserData(proxyId);
+ return callback->ReportFixture(proxy->fixture);
+ }
+
+ const b2BroadPhase* broadPhase;
+ b2QueryCallback* callback;
+};
+
+void b2World::QueryAABB(b2QueryCallback* callback, const b2AABB& aabb) const
+{
+ b2WorldQueryWrapper wrapper;
+ wrapper.broadPhase = &m_contactManager.m_broadPhase;
+ wrapper.callback = callback;
+ m_contactManager.m_broadPhase.Query(&wrapper, aabb);
+}
+
+struct b2WorldRayCastWrapper
+{
+ float32 RayCastCallback(const b2RayCastInput& input, int32 proxyId)
+ {
+ void* userData = broadPhase->GetUserData(proxyId);
+ b2FixtureProxy* proxy = (b2FixtureProxy*)userData;
+ b2Fixture* fixture = proxy->fixture;
+ int32 index = proxy->childIndex;
+ b2RayCastOutput output;
+ bool hit = fixture->RayCast(&output, input, index);
+
+ if (hit)
+ {
+ float32 fraction = output.fraction;
+ b2Vec2 point = (1.0f - fraction) * input.p1 + fraction * input.p2;
+ return callback->ReportFixture(fixture, point, output.normal, fraction);
+ }
+
+ return input.maxFraction;
+ }
+
+ const b2BroadPhase* broadPhase;
+ b2RayCastCallback* callback;
+};
+
+void b2World::RayCast(b2RayCastCallback* callback, const b2Vec2& point1, const b2Vec2& point2) const
+{
+ b2WorldRayCastWrapper wrapper;
+ wrapper.broadPhase = &m_contactManager.m_broadPhase;
+ wrapper.callback = callback;
+ b2RayCastInput input;
+ input.maxFraction = 1.0f;
+ input.p1 = point1;
+ input.p2 = point2;
+ m_contactManager.m_broadPhase.RayCast(&wrapper, input);
+}
+
+void b2World::DrawShape(b2Fixture* fixture, const b2Transform& xf, const b2Color& color)
+{
+ switch (fixture->GetType())
+ {
+ case b2Shape::e_circle:
+ {
+ b2CircleShape* circle = (b2CircleShape*)fixture->GetShape();
+
+ b2Vec2 center = b2Mul(xf, circle->m_p);
+ float32 radius = circle->m_radius;
+ b2Vec2 axis = b2Mul(xf.q, b2Vec2(1.0f, 0.0f));
+
+ m_debugDraw->DrawSolidCircle(center, radius, axis, color);
+ }
+ break;
+
+ case b2Shape::e_edge:
+ {
+ b2EdgeShape* edge = (b2EdgeShape*)fixture->GetShape();
+ b2Vec2 v1 = b2Mul(xf, edge->m_vertex1);
+ b2Vec2 v2 = b2Mul(xf, edge->m_vertex2);
+ m_debugDraw->DrawSegment(v1, v2, color);
+ }
+ break;
+
+ case b2Shape::e_chain:
+ {
+ b2ChainShape* chain = (b2ChainShape*)fixture->GetShape();
+ int32 count = chain->m_count;
+ const b2Vec2* vertices = chain->m_vertices;
+
+ b2Color ghostColor(0.75f * color.r, 0.75f * color.g, 0.75f * color.b, color.a);
+
+ b2Vec2 v1 = b2Mul(xf, vertices[0]);
+ m_debugDraw->DrawPoint(v1, 4.0f, color);
+
+ if (chain->m_hasPrevVertex)
+ {
+ b2Vec2 vp = b2Mul(xf, chain->m_prevVertex);
+ m_debugDraw->DrawSegment(vp, v1, ghostColor);
+ m_debugDraw->DrawCircle(vp, 0.1f, ghostColor);
+ }
+
+ for (int32 i = 1; i < count; ++i)
+ {
+ b2Vec2 v2 = b2Mul(xf, vertices[i]);
+ m_debugDraw->DrawSegment(v1, v2, color);
+ m_debugDraw->DrawPoint(v2, 4.0f, color);
+ v1 = v2;
+ }
+
+ if (chain->m_hasNextVertex)
+ {
+ b2Vec2 vn = b2Mul(xf, chain->m_nextVertex);
+ m_debugDraw->DrawSegment(v1, vn, ghostColor);
+ m_debugDraw->DrawCircle(vn, 0.1f, ghostColor);
+ }
+ }
+ break;
+
+ case b2Shape::e_polygon:
+ {
+ b2PolygonShape* poly = (b2PolygonShape*)fixture->GetShape();
+ int32 vertexCount = poly->m_count;
+ b2Assert(vertexCount <= b2_maxPolygonVertices);
+ b2Vec2 vertices[b2_maxPolygonVertices];
+
+ for (int32 i = 0; i < vertexCount; ++i)
+ {
+ vertices[i] = b2Mul(xf, poly->m_vertices[i]);
+ }
+
+ m_debugDraw->DrawSolidPolygon(vertices, vertexCount, color);
+ }
+ break;
+
+ default:
+ break;
+ }
+}
+
+void b2World::DrawJoint(b2Joint* joint)
+{
+ b2Body* bodyA = joint->GetBodyA();
+ b2Body* bodyB = joint->GetBodyB();
+ const b2Transform& xf1 = bodyA->GetTransform();
+ const b2Transform& xf2 = bodyB->GetTransform();
+ b2Vec2 x1 = xf1.p;
+ b2Vec2 x2 = xf2.p;
+ b2Vec2 p1 = joint->GetAnchorA();
+ b2Vec2 p2 = joint->GetAnchorB();
+
+ b2Color color(0.5f, 0.8f, 0.8f);
+
+ switch (joint->GetType())
+ {
+ case e_distanceJoint:
+ m_debugDraw->DrawSegment(p1, p2, color);
+ break;
+
+ case e_pulleyJoint:
+ {
+ b2PulleyJoint* pulley = (b2PulleyJoint*)joint;
+ b2Vec2 s1 = pulley->GetGroundAnchorA();
+ b2Vec2 s2 = pulley->GetGroundAnchorB();
+ m_debugDraw->DrawSegment(s1, p1, color);
+ m_debugDraw->DrawSegment(s2, p2, color);
+ m_debugDraw->DrawSegment(s1, s2, color);
+ }
+ break;
+
+ case e_mouseJoint:
+ {
+ b2Color c;
+ c.Set(0.0f, 1.0f, 0.0f);
+ m_debugDraw->DrawPoint(p1, 4.0f, c);
+ m_debugDraw->DrawPoint(p2, 4.0f, c);
+
+ c.Set(0.8f, 0.8f, 0.8f);
+ m_debugDraw->DrawSegment(p1, p2, c);
+
+ }
+ break;
+
+ default:
+ m_debugDraw->DrawSegment(x1, p1, color);
+ m_debugDraw->DrawSegment(p1, p2, color);
+ m_debugDraw->DrawSegment(x2, p2, color);
+ }
+}
+
+void b2World::DrawDebugData()
+{
+ if (m_debugDraw == nullptr)
+ {
+ return;
+ }
+
+ uint32 flags = m_debugDraw->GetFlags();
+
+ if (flags & b2Draw::e_shapeBit)
+ {
+ for (b2Body* b = m_bodyList; b; b = b->GetNext())
+ {
+ const b2Transform& xf = b->GetTransform();
+ for (b2Fixture* f = b->GetFixtureList(); f; f = f->GetNext())
+ {
+ if (b->IsActive() == false)
+ {
+ DrawShape(f, xf, b2Color(0.5f, 0.5f, 0.3f));
+ }
+ else if (b->GetType() == b2_staticBody)
+ {
+ DrawShape(f, xf, b2Color(0.5f, 0.9f, 0.5f));
+ }
+ else if (b->GetType() == b2_kinematicBody)
+ {
+ DrawShape(f, xf, b2Color(0.5f, 0.5f, 0.9f));
+ }
+ else if (b->IsAwake() == false)
+ {
+ DrawShape(f, xf, b2Color(0.6f, 0.6f, 0.6f));
+ }
+ else
+ {
+ DrawShape(f, xf, b2Color(0.9f, 0.7f, 0.7f));
+ }
+ }
+ }
+ }
+
+ if (flags & b2Draw::e_jointBit)
+ {
+ for (b2Joint* j = m_jointList; j; j = j->GetNext())
+ {
+ DrawJoint(j);
+ }
+ }
+
+ if (flags & b2Draw::e_pairBit)
+ {
+ b2Color color(0.3f, 0.9f, 0.9f);
+ for (b2Contact* c = m_contactManager.m_contactList; c; c = c->GetNext())
+ {
+ //b2Fixture* fixtureA = c->GetFixtureA();
+ //b2Fixture* fixtureB = c->GetFixtureB();
+
+ //b2Vec2 cA = fixtureA->GetAABB().GetCenter();
+ //b2Vec2 cB = fixtureB->GetAABB().GetCenter();
+
+ //g_debugDraw->DrawSegment(cA, cB, color);
+ }
+ }
+
+ if (flags & b2Draw::e_aabbBit)
+ {
+ b2Color color(0.9f, 0.3f, 0.9f);
+ b2BroadPhase* bp = &m_contactManager.m_broadPhase;
+
+ for (b2Body* b = m_bodyList; b; b = b->GetNext())
+ {
+ if (b->IsActive() == false)
+ {
+ continue;
+ }
+
+ for (b2Fixture* f = b->GetFixtureList(); f; f = f->GetNext())
+ {
+ for (int32 i = 0; i < f->m_proxyCount; ++i)
+ {
+ b2FixtureProxy* proxy = f->m_proxies + i;
+ b2AABB aabb = bp->GetFatAABB(proxy->proxyId);
+ b2Vec2 vs[4];
+ vs[0].Set(aabb.lowerBound.x, aabb.lowerBound.y);
+ vs[1].Set(aabb.upperBound.x, aabb.lowerBound.y);
+ vs[2].Set(aabb.upperBound.x, aabb.upperBound.y);
+ vs[3].Set(aabb.lowerBound.x, aabb.upperBound.y);
+
+ m_debugDraw->DrawPolygon(vs, 4, color);
+ }
+ }
+ }
+ }
+
+ if (flags & b2Draw::e_centerOfMassBit)
+ {
+ for (b2Body* b = m_bodyList; b; b = b->GetNext())
+ {
+ b2Transform xf = b->GetTransform();
+ xf.p = b->GetWorldCenter();
+ m_debugDraw->DrawTransform(xf);
+ }
+ }
+}
+
+int32 b2World::GetProxyCount() const
+{
+ return m_contactManager.m_broadPhase.GetProxyCount();
+}
+
+int32 b2World::GetTreeHeight() const
+{
+ return m_contactManager.m_broadPhase.GetTreeHeight();
+}
+
+int32 b2World::GetTreeBalance() const
+{
+ return m_contactManager.m_broadPhase.GetTreeBalance();
+}
+
+float32 b2World::GetTreeQuality() const
+{
+ return m_contactManager.m_broadPhase.GetTreeQuality();
+}
+
+void b2World::ShiftOrigin(const b2Vec2& newOrigin)
+{
+ b2Assert((m_flags & e_locked) == 0);
+ if ((m_flags & e_locked) == e_locked)
+ {
+ return;
+ }
+
+ for (b2Body* b = m_bodyList; b; b = b->m_next)
+ {
+ b->m_xf.p -= newOrigin;
+ b->m_sweep.c0 -= newOrigin;
+ b->m_sweep.c -= newOrigin;
+ }
+
+ for (b2Joint* j = m_jointList; j; j = j->m_next)
+ {
+ j->ShiftOrigin(newOrigin);
+ }
+
+ m_contactManager.m_broadPhase.ShiftOrigin(newOrigin);
+}
+
+void b2World::Dump()
+{
+ if ((m_flags & e_locked) == e_locked)
+ {
+ return;
+ }
+
+ b2Log("b2Vec2 g(%.15lef, %.15lef);\n", m_gravity.x, m_gravity.y);
+ b2Log("m_world->SetGravity(g);\n");
+
+ b2Log("b2Body** bodies = (b2Body**)b2Alloc(%d * sizeof(b2Body*));\n", m_bodyCount);
+ b2Log("b2Joint** joints = (b2Joint**)b2Alloc(%d * sizeof(b2Joint*));\n", m_jointCount);
+ int32 i = 0;
+ for (b2Body* b = m_bodyList; b; b = b->m_next)
+ {
+ b->m_islandIndex = i;
+ b->Dump();
+ ++i;
+ }
+
+ i = 0;
+ for (b2Joint* j = m_jointList; j; j = j->m_next)
+ {
+ j->m_index = i;
+ ++i;
+ }
+
+ // First pass on joints, skip gear joints.
+ for (b2Joint* j = m_jointList; j; j = j->m_next)
+ {
+ if (j->m_type == e_gearJoint)
+ {
+ continue;
+ }
+
+ b2Log("{\n");
+ j->Dump();
+ b2Log("}\n");
+ }
+
+ // Second pass on joints, only gear joints.
+ for (b2Joint* j = m_jointList; j; j = j->m_next)
+ {
+ if (j->m_type != e_gearJoint)
+ {
+ continue;
+ }
+
+ b2Log("{\n");
+ j->Dump();
+ b2Log("}\n");
+ }
+
+ b2Log("b2Free(joints);\n");
+ b2Log("b2Free(bodies);\n");
+ b2Log("joints = nullptr;\n");
+ b2Log("bodies = nullptr;\n");
+}
diff --git a/src/3rdparty/Box2D/Dynamics/b2World.h b/src/3rdparty/Box2D/Dynamics/b2World.h
new file mode 100644
index 0000000..d5ad20c
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2World.h
@@ -0,0 +1,354 @@
+/*
+* Copyright (c) 2006-2011 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_WORLD_H
+#define B2_WORLD_H
+
+#include "Box2D/Common/b2Math.h"
+#include "Box2D/Common/b2BlockAllocator.h"
+#include "Box2D/Common/b2StackAllocator.h"
+#include "Box2D/Dynamics/b2ContactManager.h"
+#include "Box2D/Dynamics/b2WorldCallbacks.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+struct b2AABB;
+struct b2BodyDef;
+struct b2Color;
+struct b2JointDef;
+class b2Body;
+class b2Draw;
+class b2Fixture;
+class b2Joint;
+
+/// The world class manages all physics entities, dynamic simulation,
+/// and asynchronous queries. The world also contains efficient memory
+/// management facilities.
+class b2World
+{
+public:
+ /// Construct a world object.
+ /// @param gravity the world gravity vector.
+ b2World(const b2Vec2& gravity);
+
+ /// Destruct the world. All physics entities are destroyed and all heap memory is released.
+ ~b2World();
+
+ /// Register a destruction listener. The listener is owned by you and must
+ /// remain in scope.
+ void SetDestructionListener(b2DestructionListener* listener);
+
+ /// Register a contact filter to provide specific control over collision.
+ /// Otherwise the default filter is used (b2_defaultFilter). The listener is
+ /// owned by you and must remain in scope.
+ void SetContactFilter(b2ContactFilter* filter);
+
+ /// Register a contact event listener. The listener is owned by you and must
+ /// remain in scope.
+ void SetContactListener(b2ContactListener* listener);
+
+ /// Register a routine for debug drawing. The debug draw functions are called
+ /// inside with b2World::DrawDebugData method. The debug draw object is owned
+ /// by you and must remain in scope.
+ void SetDebugDraw(b2Draw* debugDraw);
+
+ /// Create a rigid body given a definition. No reference to the definition
+ /// is retained.
+ /// @warning This function is locked during callbacks.
+ b2Body* CreateBody(const b2BodyDef* def);
+
+ /// Destroy a rigid body given a definition. No reference to the definition
+ /// is retained. This function is locked during callbacks.
+ /// @warning This automatically deletes all associated shapes and joints.
+ /// @warning This function is locked during callbacks.
+ void DestroyBody(b2Body* body);
+
+ /// Create a joint to constrain bodies together. No reference to the definition
+ /// is retained. This may cause the connected bodies to cease colliding.
+ /// @warning This function is locked during callbacks.
+ b2Joint* CreateJoint(const b2JointDef* def);
+
+ /// Destroy a joint. This may cause the connected bodies to begin colliding.
+ /// @warning This function is locked during callbacks.
+ void DestroyJoint(b2Joint* joint);
+
+ /// Take a time step. This performs collision detection, integration,
+ /// and constraint solution.
+ /// @param timeStep the amount of time to simulate, this should not vary.
+ /// @param velocityIterations for the velocity constraint solver.
+ /// @param positionIterations for the position constraint solver.
+ void Step( float32 timeStep,
+ int32 velocityIterations,
+ int32 positionIterations);
+
+ /// Manually clear the force buffer on all bodies. By default, forces are cleared automatically
+ /// after each call to Step. The default behavior is modified by calling SetAutoClearForces.
+ /// The purpose of this function is to support sub-stepping. Sub-stepping is often used to maintain
+ /// a fixed sized time step under a variable frame-rate.
+ /// When you perform sub-stepping you will disable auto clearing of forces and instead call
+ /// ClearForces after all sub-steps are complete in one pass of your game loop.
+ /// @see SetAutoClearForces
+ void ClearForces();
+
+ /// Call this to draw shapes and other debug draw data. This is intentionally non-const.
+ void DrawDebugData();
+
+ /// Query the world for all fixtures that potentially overlap the
+ /// provided AABB.
+ /// @param callback a user implemented callback class.
+ /// @param aabb the query box.
+ void QueryAABB(b2QueryCallback* callback, const b2AABB& aabb) const;
+
+ /// Ray-cast the world for all fixtures in the path of the ray. Your callback
+ /// controls whether you get the closest point, any point, or n-points.
+ /// The ray-cast ignores shapes that contain the starting point.
+ /// @param callback a user implemented callback class.
+ /// @param point1 the ray starting point
+ /// @param point2 the ray ending point
+ void RayCast(b2RayCastCallback* callback, const b2Vec2& point1, const b2Vec2& point2) const;
+
+ /// Get the world body list. With the returned body, use b2Body::GetNext to get
+ /// the next body in the world list. A nullptr body indicates the end of the list.
+ /// @return the head of the world body list.
+ b2Body* GetBodyList();
+ const b2Body* GetBodyList() const;
+
+ /// Get the world joint list. With the returned joint, use b2Joint::GetNext to get
+ /// the next joint in the world list. A nullptr joint indicates the end of the list.
+ /// @return the head of the world joint list.
+ b2Joint* GetJointList();
+ const b2Joint* GetJointList() const;
+
+ /// Get the world contact list. With the returned contact, use b2Contact::GetNext to get
+ /// the next contact in the world list. A nullptr contact indicates the end of the list.
+ /// @return the head of the world contact list.
+ /// @warning contacts are created and destroyed in the middle of a time step.
+ /// Use b2ContactListener to avoid missing contacts.
+ b2Contact* GetContactList();
+ const b2Contact* GetContactList() const;
+
+ /// Enable/disable sleep.
+ void SetAllowSleeping(bool flag);
+ bool GetAllowSleeping() const { return m_allowSleep; }
+
+ /// Enable/disable warm starting. For testing.
+ void SetWarmStarting(bool flag) { m_warmStarting = flag; }
+ bool GetWarmStarting() const { return m_warmStarting; }
+
+ /// Enable/disable continuous physics. For testing.
+ void SetContinuousPhysics(bool flag) { m_continuousPhysics = flag; }
+ bool GetContinuousPhysics() const { return m_continuousPhysics; }
+
+ /// Enable/disable single stepped continuous physics. For testing.
+ void SetSubStepping(bool flag) { m_subStepping = flag; }
+ bool GetSubStepping() const { return m_subStepping; }
+
+ /// Get the number of broad-phase proxies.
+ int32 GetProxyCount() const;
+
+ /// Get the number of bodies.
+ int32 GetBodyCount() const;
+
+ /// Get the number of joints.
+ int32 GetJointCount() const;
+
+ /// Get the number of contacts (each may have 0 or more contact points).
+ int32 GetContactCount() const;
+
+ /// Get the height of the dynamic tree.
+ int32 GetTreeHeight() const;
+
+ /// Get the balance of the dynamic tree.
+ int32 GetTreeBalance() const;
+
+ /// Get the quality metric of the dynamic tree. The smaller the better.
+ /// The minimum is 1.
+ float32 GetTreeQuality() const;
+
+ /// Change the global gravity vector.
+ void SetGravity(const b2Vec2& gravity);
+
+ /// Get the global gravity vector.
+ b2Vec2 GetGravity() const;
+
+ /// Is the world locked (in the middle of a time step).
+ bool IsLocked() const;
+
+ /// Set flag to control automatic clearing of forces after each time step.
+ void SetAutoClearForces(bool flag);
+
+ /// Get the flag that controls automatic clearing of forces after each time step.
+ bool GetAutoClearForces() const;
+
+ /// Shift the world origin. Useful for large worlds.
+ /// The body shift formula is: position -= newOrigin
+ /// @param newOrigin the new origin with respect to the old origin
+ void ShiftOrigin(const b2Vec2& newOrigin);
+
+ /// Get the contact manager for testing.
+ const b2ContactManager& GetContactManager() const;
+
+ /// Get the current profile.
+ const b2Profile& GetProfile() const;
+
+ /// Dump the world into the log file.
+ /// @warning this should be called outside of a time step.
+ void Dump();
+
+private:
+
+ // m_flags
+ enum
+ {
+ e_newFixture = 0x0001,
+ e_locked = 0x0002,
+ e_clearForces = 0x0004
+ };
+
+ friend class b2Body;
+ friend class b2Fixture;
+ friend class b2ContactManager;
+ friend class b2Controller;
+
+ void Solve(const b2TimeStep& step);
+ void SolveTOI(const b2TimeStep& step);
+
+ void DrawJoint(b2Joint* joint);
+ void DrawShape(b2Fixture* shape, const b2Transform& xf, const b2Color& color);
+
+ b2BlockAllocator m_blockAllocator;
+ b2StackAllocator m_stackAllocator;
+
+ int32 m_flags;
+
+ b2ContactManager m_contactManager;
+
+ b2Body* m_bodyList;
+ b2Joint* m_jointList;
+
+ int32 m_bodyCount;
+ int32 m_jointCount;
+
+ b2Vec2 m_gravity;
+ bool m_allowSleep;
+
+ b2DestructionListener* m_destructionListener;
+ b2Draw* m_debugDraw;
+
+ // This is used to compute the time step ratio to
+ // support a variable time step.
+ float32 m_inv_dt0;
+
+ // These are for debugging the solver.
+ bool m_warmStarting;
+ bool m_continuousPhysics;
+ bool m_subStepping;
+
+ bool m_stepComplete;
+
+ b2Profile m_profile;
+};
+
+inline b2Body* b2World::GetBodyList()
+{
+ return m_bodyList;
+}
+
+inline const b2Body* b2World::GetBodyList() const
+{
+ return m_bodyList;
+}
+
+inline b2Joint* b2World::GetJointList()
+{
+ return m_jointList;
+}
+
+inline const b2Joint* b2World::GetJointList() const
+{
+ return m_jointList;
+}
+
+inline b2Contact* b2World::GetContactList()
+{
+ return m_contactManager.m_contactList;
+}
+
+inline const b2Contact* b2World::GetContactList() const
+{
+ return m_contactManager.m_contactList;
+}
+
+inline int32 b2World::GetBodyCount() const
+{
+ return m_bodyCount;
+}
+
+inline int32 b2World::GetJointCount() const
+{
+ return m_jointCount;
+}
+
+inline int32 b2World::GetContactCount() const
+{
+ return m_contactManager.m_contactCount;
+}
+
+inline void b2World::SetGravity(const b2Vec2& gravity)
+{
+ m_gravity = gravity;
+}
+
+inline b2Vec2 b2World::GetGravity() const
+{
+ return m_gravity;
+}
+
+inline bool b2World::IsLocked() const
+{
+ return (m_flags & e_locked) == e_locked;
+}
+
+inline void b2World::SetAutoClearForces(bool flag)
+{
+ if (flag)
+ {
+ m_flags |= e_clearForces;
+ }
+ else
+ {
+ m_flags &= ~e_clearForces;
+ }
+}
+
+/// Get the flag that controls automatic clearing of forces after each time step.
+inline bool b2World::GetAutoClearForces() const
+{
+ return (m_flags & e_clearForces) == e_clearForces;
+}
+
+inline const b2ContactManager& b2World::GetContactManager() const
+{
+ return m_contactManager;
+}
+
+inline const b2Profile& b2World::GetProfile() const
+{
+ return m_profile;
+}
+
+#endif
diff --git a/src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.cpp b/src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.cpp
new file mode 100644
index 0000000..fe71073
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.cpp
@@ -0,0 +1,36 @@
+/*
+* 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 "Box2D/Dynamics/b2WorldCallbacks.h"
+#include "Box2D/Dynamics/b2Fixture.h"
+
+// Return true if contact calculations should be performed between these two shapes.
+// If you implement your own collision filter you may want to build from this implementation.
+bool b2ContactFilter::ShouldCollide(b2Fixture* fixtureA, b2Fixture* fixtureB)
+{
+ const b2Filter& filterA = fixtureA->GetFilterData();
+ const b2Filter& filterB = fixtureB->GetFilterData();
+
+ if (filterA.groupIndex == filterB.groupIndex && filterA.groupIndex != 0)
+ {
+ return filterA.groupIndex > 0;
+ }
+
+ bool collide = (filterA.maskBits & filterB.categoryBits) != 0 && (filterA.categoryBits & filterB.maskBits) != 0;
+ return collide;
+}
diff --git a/src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.h b/src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.h
new file mode 100644
index 0000000..3d5580a
--- /dev/null
+++ b/src/3rdparty/Box2D/Dynamics/b2WorldCallbacks.h
@@ -0,0 +1,155 @@
+/*
+* 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_WORLD_CALLBACKS_H
+#define B2_WORLD_CALLBACKS_H
+
+#include "Box2D/Common/b2Settings.h"
+
+struct b2Vec2;
+struct b2Transform;
+class b2Fixture;
+class b2Body;
+class b2Joint;
+class b2Contact;
+struct b2ContactResult;
+struct b2Manifold;
+
+/// Joints and fixtures are destroyed when their associated
+/// body is destroyed. Implement this listener so that you
+/// may nullify references to these joints and shapes.
+class b2DestructionListener
+{
+public:
+ virtual ~b2DestructionListener() {}
+
+ /// Called when any joint is about to be destroyed due
+ /// to the destruction of one of its attached bodies.
+ virtual void SayGoodbye(b2Joint* joint) = 0;
+
+ /// Called when any fixture is about to be destroyed due
+ /// to the destruction of its parent body.
+ virtual void SayGoodbye(b2Fixture* fixture) = 0;
+};
+
+/// Implement this class to provide collision filtering. In other words, you can implement
+/// this class if you want finer control over contact creation.
+class b2ContactFilter
+{
+public:
+ virtual ~b2ContactFilter() {}
+
+ /// Return true if contact calculations should be performed between these two shapes.
+ /// @warning for performance reasons this is only called when the AABBs begin to overlap.
+ virtual bool ShouldCollide(b2Fixture* fixtureA, b2Fixture* fixtureB);
+};
+
+/// Contact impulses for reporting. Impulses are used instead of forces because
+/// sub-step forces may approach infinity for rigid body collisions. These
+/// match up one-to-one with the contact points in b2Manifold.
+struct b2ContactImpulse
+{
+ float32 normalImpulses[b2_maxManifoldPoints];
+ float32 tangentImpulses[b2_maxManifoldPoints];
+ int32 count;
+};
+
+/// Implement this class to get contact information. You can use these results for
+/// things like sounds and game logic. You can also get contact results by
+/// traversing the contact lists after the time step. However, you might miss
+/// some contacts because continuous physics leads to sub-stepping.
+/// Additionally you may receive multiple callbacks for the same contact in a
+/// single time step.
+/// You should strive to make your callbacks efficient because there may be
+/// many callbacks per time step.
+/// @warning You cannot create/destroy Box2D entities inside these callbacks.
+class b2ContactListener
+{
+public:
+ virtual ~b2ContactListener() {}
+
+ /// Called when two fixtures begin to touch.
+ virtual void BeginContact(b2Contact* contact) { B2_NOT_USED(contact); }
+
+ /// Called when two fixtures cease to touch.
+ virtual void EndContact(b2Contact* contact) { B2_NOT_USED(contact); }
+
+ /// This is called after a contact is updated. This allows you to inspect a
+ /// contact before it goes to the solver. If you are careful, you can modify the
+ /// contact manifold (e.g. disable contact).
+ /// A copy of the old manifold is provided so that you can detect changes.
+ /// Note: this is called only for awake bodies.
+ /// Note: this is called even when the number of contact points is zero.
+ /// Note: this is not called for sensors.
+ /// Note: if you set the number of contact points to zero, you will not
+ /// get an EndContact callback. However, you may get a BeginContact callback
+ /// the next step.
+ virtual void PreSolve(b2Contact* contact, const b2Manifold* oldManifold)
+ {
+ B2_NOT_USED(contact);
+ B2_NOT_USED(oldManifold);
+ }
+
+ /// This lets you inspect a contact after the solver is finished. This is useful
+ /// for inspecting impulses.
+ /// Note: the contact manifold does not include time of impact impulses, which can be
+ /// arbitrarily large if the sub-step is small. Hence the impulse is provided explicitly
+ /// in a separate data structure.
+ /// Note: this is only called for contacts that are touching, solid, and awake.
+ virtual void PostSolve(b2Contact* contact, const b2ContactImpulse* impulse)
+ {
+ B2_NOT_USED(contact);
+ B2_NOT_USED(impulse);
+ }
+};
+
+/// Callback class for AABB queries.
+/// See b2World::Query
+class b2QueryCallback
+{
+public:
+ virtual ~b2QueryCallback() {}
+
+ /// Called for each fixture found in the query AABB.
+ /// @return false to terminate the query.
+ virtual bool ReportFixture(b2Fixture* fixture) = 0;
+};
+
+/// Callback class for ray casts.
+/// See b2World::RayCast
+class b2RayCastCallback
+{
+public:
+ virtual ~b2RayCastCallback() {}
+
+ /// Called for each fixture found in the query. You control how the ray cast
+ /// proceeds by returning a float:
+ /// return -1: ignore this fixture and continue
+ /// return 0: terminate the ray cast
+ /// return fraction: clip the ray to this point
+ /// return 1: don't clip the ray and continue
+ /// @param fixture the fixture hit by the ray
+ /// @param point the point of initial intersection
+ /// @param normal the normal vector at the point of intersection
+ /// @return -1 to filter, 0 to terminate, fraction to clip the ray for
+ /// closest hit, 1 to continue
+ virtual float32 ReportFixture( b2Fixture* fixture, const b2Vec2& point,
+ const b2Vec2& normal, float32 fraction) = 0;
+};
+
+#endif
diff --git a/src/3rdparty/Box2D/Rope/b2Rope.cpp b/src/3rdparty/Box2D/Rope/b2Rope.cpp
new file mode 100644
index 0000000..847b11d
--- /dev/null
+++ b/src/3rdparty/Box2D/Rope/b2Rope.cpp
@@ -0,0 +1,259 @@
+/*
+* Copyright (c) 2011 Erin Catto http://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 "Box2D/Rope/b2Rope.h"
+#include "Box2D/Common/b2Draw.h"
+
+b2Rope::b2Rope()
+{
+ m_count = 0;
+ m_ps = nullptr;
+ m_p0s = nullptr;
+ m_vs = nullptr;
+ m_ims = nullptr;
+ m_Ls = nullptr;
+ m_as = nullptr;
+ m_gravity.SetZero();
+ m_k2 = 1.0f;
+ m_k3 = 0.1f;
+}
+
+b2Rope::~b2Rope()
+{
+ b2Free(m_ps);
+ b2Free(m_p0s);
+ b2Free(m_vs);
+ b2Free(m_ims);
+ b2Free(m_Ls);
+ b2Free(m_as);
+}
+
+void b2Rope::Initialize(const b2RopeDef* def)
+{
+ b2Assert(def->count >= 3);
+ m_count = def->count;
+ m_ps = (b2Vec2*)b2Alloc(m_count * sizeof(b2Vec2));
+ m_p0s = (b2Vec2*)b2Alloc(m_count * sizeof(b2Vec2));
+ m_vs = (b2Vec2*)b2Alloc(m_count * sizeof(b2Vec2));
+ m_ims = (float32*)b2Alloc(m_count * sizeof(float32));
+
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ m_ps[i] = def->vertices[i];
+ m_p0s[i] = def->vertices[i];
+ m_vs[i].SetZero();
+
+ float32 m = def->masses[i];
+ if (m > 0.0f)
+ {
+ m_ims[i] = 1.0f / m;
+ }
+ else
+ {
+ m_ims[i] = 0.0f;
+ }
+ }
+
+ int32 count2 = m_count - 1;
+ int32 count3 = m_count - 2;
+ m_Ls = (float32*)b2Alloc(count2 * sizeof(float32));
+ m_as = (float32*)b2Alloc(count3 * sizeof(float32));
+
+ for (int32 i = 0; i < count2; ++i)
+ {
+ b2Vec2 p1 = m_ps[i];
+ b2Vec2 p2 = m_ps[i+1];
+ m_Ls[i] = b2Distance(p1, p2);
+ }
+
+ for (int32 i = 0; i < count3; ++i)
+ {
+ b2Vec2 p1 = m_ps[i];
+ b2Vec2 p2 = m_ps[i + 1];
+ b2Vec2 p3 = m_ps[i + 2];
+
+ b2Vec2 d1 = p2 - p1;
+ b2Vec2 d2 = p3 - p2;
+
+ float32 a = b2Cross(d1, d2);
+ float32 b = b2Dot(d1, d2);
+
+ m_as[i] = b2Atan2(a, b);
+ }
+
+ m_gravity = def->gravity;
+ m_damping = def->damping;
+ m_k2 = def->k2;
+ m_k3 = def->k3;
+}
+
+void b2Rope::Step(float32 h, int32 iterations)
+{
+ if (h == 0.0)
+ {
+ return;
+ }
+
+ float32 d = expf(- h * m_damping);
+
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ m_p0s[i] = m_ps[i];
+ if (m_ims[i] > 0.0f)
+ {
+ m_vs[i] += h * m_gravity;
+ }
+ m_vs[i] *= d;
+ m_ps[i] += h * m_vs[i];
+
+ }
+
+ for (int32 i = 0; i < iterations; ++i)
+ {
+ SolveC2();
+ SolveC3();
+ SolveC2();
+ }
+
+ float32 inv_h = 1.0f / h;
+ for (int32 i = 0; i < m_count; ++i)
+ {
+ m_vs[i] = inv_h * (m_ps[i] - m_p0s[i]);
+ }
+}
+
+void b2Rope::SolveC2()
+{
+ int32 count2 = m_count - 1;
+
+ for (int32 i = 0; i < count2; ++i)
+ {
+ b2Vec2 p1 = m_ps[i];
+ b2Vec2 p2 = m_ps[i + 1];
+
+ b2Vec2 d = p2 - p1;
+ float32 L = d.Normalize();
+
+ float32 im1 = m_ims[i];
+ float32 im2 = m_ims[i + 1];
+
+ if (im1 + im2 == 0.0f)
+ {
+ continue;
+ }
+
+ float32 s1 = im1 / (im1 + im2);
+ float32 s2 = im2 / (im1 + im2);
+
+ p1 -= m_k2 * s1 * (m_Ls[i] - L) * d;
+ p2 += m_k2 * s2 * (m_Ls[i] - L) * d;
+
+ m_ps[i] = p1;
+ m_ps[i + 1] = p2;
+ }
+}
+
+void b2Rope::SetAngle(float32 angle)
+{
+ int32 count3 = m_count - 2;
+ for (int32 i = 0; i < count3; ++i)
+ {
+ m_as[i] = angle;
+ }
+}
+
+void b2Rope::SolveC3()
+{
+ int32 count3 = m_count - 2;
+
+ for (int32 i = 0; i < count3; ++i)
+ {
+ b2Vec2 p1 = m_ps[i];
+ b2Vec2 p2 = m_ps[i + 1];
+ b2Vec2 p3 = m_ps[i + 2];
+
+ float32 m1 = m_ims[i];
+ float32 m2 = m_ims[i + 1];
+ float32 m3 = m_ims[i + 2];
+
+ b2Vec2 d1 = p2 - p1;
+ b2Vec2 d2 = p3 - p2;
+
+ float32 L1sqr = d1.LengthSquared();
+ float32 L2sqr = d2.LengthSquared();
+
+ if (L1sqr * L2sqr == 0.0f)
+ {
+ continue;
+ }
+
+ float32 a = b2Cross(d1, d2);
+ float32 b = b2Dot(d1, d2);
+
+ float32 angle = b2Atan2(a, b);
+
+ b2Vec2 Jd1 = (-1.0f / L1sqr) * d1.Skew();
+ b2Vec2 Jd2 = (1.0f / L2sqr) * d2.Skew();
+
+ b2Vec2 J1 = -Jd1;
+ b2Vec2 J2 = Jd1 - Jd2;
+ b2Vec2 J3 = Jd2;
+
+ float32 mass = m1 * b2Dot(J1, J1) + m2 * b2Dot(J2, J2) + m3 * b2Dot(J3, J3);
+ if (mass == 0.0f)
+ {
+ continue;
+ }
+
+ mass = 1.0f / mass;
+
+ float32 C = angle - m_as[i];
+
+ while (C > b2_pi)
+ {
+ angle -= 2 * b2_pi;
+ C = angle - m_as[i];
+ }
+
+ while (C < -b2_pi)
+ {
+ angle += 2.0f * b2_pi;
+ C = angle - m_as[i];
+ }
+
+ float32 impulse = - m_k3 * mass * C;
+
+ p1 += (m1 * impulse) * J1;
+ p2 += (m2 * impulse) * J2;
+ p3 += (m3 * impulse) * J3;
+
+ m_ps[i] = p1;
+ m_ps[i + 1] = p2;
+ m_ps[i + 2] = p3;
+ }
+}
+
+void b2Rope::Draw(b2Draw* draw) const
+{
+ b2Color c(0.4f, 0.5f, 0.7f);
+
+ for (int32 i = 0; i < m_count - 1; ++i)
+ {
+ draw->DrawSegment(m_ps[i], m_ps[i+1], c);
+ }
+}
diff --git a/src/3rdparty/Box2D/Rope/b2Rope.h b/src/3rdparty/Box2D/Rope/b2Rope.h
new file mode 100644
index 0000000..40be9e7
--- /dev/null
+++ b/src/3rdparty/Box2D/Rope/b2Rope.h
@@ -0,0 +1,115 @@
+/*
+* Copyright (c) 2011 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_ROPE_H
+#define B2_ROPE_H
+
+#include "Box2D/Common/b2Math.h"
+
+class b2Draw;
+
+///
+struct b2RopeDef
+{
+ b2RopeDef()
+ {
+ vertices = nullptr;
+ count = 0;
+ masses = nullptr;
+ gravity.SetZero();
+ damping = 0.1f;
+ k2 = 0.9f;
+ k3 = 0.1f;
+ }
+
+ ///
+ b2Vec2* vertices;
+
+ ///
+ int32 count;
+
+ ///
+ float32* masses;
+
+ ///
+ b2Vec2 gravity;
+
+ ///
+ float32 damping;
+
+ /// Stretching stiffness
+ float32 k2;
+
+ /// Bending stiffness. Values above 0.5 can make the simulation blow up.
+ float32 k3;
+};
+
+///
+class b2Rope
+{
+public:
+ b2Rope();
+ ~b2Rope();
+
+ ///
+ void Initialize(const b2RopeDef* def);
+
+ ///
+ void Step(float32 timeStep, int32 iterations);
+
+ ///
+ int32 GetVertexCount() const
+ {
+ return m_count;
+ }
+
+ ///
+ const b2Vec2* GetVertices() const
+ {
+ return m_ps;
+ }
+
+ ///
+ void Draw(b2Draw* draw) const;
+
+ ///
+ void SetAngle(float32 angle);
+
+private:
+
+ void SolveC2();
+ void SolveC3();
+
+ int32 m_count;
+ b2Vec2* m_ps;
+ b2Vec2* m_p0s;
+ b2Vec2* m_vs;
+
+ float32* m_ims;
+
+ float32* m_Ls;
+ float32* m_as;
+
+ b2Vec2 m_gravity;
+ float32 m_damping;
+
+ float32 m_k2;
+ float32 m_k3;
+};
+
+#endif