web/static/doc_controle/tp/Box2D/src/Box2D/Box2D.h

-/*
-* 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

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2ChainShape.cpp

-/*
-* 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;
-}

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2ChainShape.h

-/*
-* 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

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2CircleShape.cpp

-/*
-* 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));
-}

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2CircleShape.h

-/*
-* 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

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2EdgeShape.cpp

-/*
-* 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;
-}

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2EdgeShape.h

-/*
-* 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

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2PolygonShape.cpp

-/*
-* 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;
-}

web/static/doc_controle/tp/Box2D/src/Box2D/Collision/Shapes/b2PolygonShape.h

-/*
-* 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