bullet3/examples/InverseKinematics/InverseKinematicsExample.cpp

439 lines
15 KiB
C++

#include "InverseKinematicsExample.h"
#include "../CommonInterfaces/CommonGraphicsAppInterface.h"
#include "Bullet3Common/b3Quaternion.h"
#include "Bullet3Common/b3Transform.h"
#include "Bullet3Common/b3AlignedObjectArray.h"
#include "../CommonInterfaces/CommonRenderInterface.h"
#include "../CommonInterfaces/CommonExampleInterface.h"
#include "../CommonInterfaces/CommonGUIHelperInterface.h"
#include "BussIK/Node.h"
#include "BussIK/Tree.h"
#include "BussIK/Jacobian.h"
#include "BussIK/VectorRn.h"
#define RADIAN(X) ((X)*RadiansToDegrees)
#define MAX_NUM_NODE 1000
#define MAX_NUM_THETA 1000
#define MAX_NUM_EFFECT 100
double T = 0;
VectorR3 targetaa[MAX_NUM_EFFECT];
// Make slowdown factor larger to make the simulation take larger, less frequent steps
// Make the constant factor in Tstep larger to make time pass more quickly
//const int SlowdownFactor = 40;
const int SlowdownFactor = 0; // Make higher to take larger steps less frequently
const int SleepsPerStep = SlowdownFactor;
int SleepCounter = 0;
//const double Tstep = 0.0005*(double)SlowdownFactor; // Time step
int AxesList; /* list to hold the axes */
int AxesOn; /* ON or OFF */
float Scale, Scale2; /* scaling factors */
int JointLimitsOn;
int RestPositionOn;
int UseJacobianTargets1;
int numIteration = 1;
double error = 0.0;
double errorDLS = 0.0;
double errorSDLS = 0.0;
double sumError = 0.0;
double sumErrorDLS = 0.0;
double sumErrorSDLS = 0.0;
#ifdef _DYNAMIC
bool initMaxDist = true;
extern double Excess[];
extern double dsnorm[];
#endif
void Reset(Tree& tree, Jacobian* m_ikJacobian)
{
AxesOn = false;
Scale = 1.0;
Scale2 = 0.0; /* because add 1. to it in Display() */
JointLimitsOn = true;
RestPositionOn = false;
UseJacobianTargets1 = false;
tree.Init();
tree.Compute();
m_ikJacobian->Reset();
}
// Update target positions
void UpdateTargets(double T, Tree& treeY)
{
targetaa[0].Set(2.0f + 1.5*sin(3 * T) * 2, -0.5 + 1.0f + 0.2*sin(7 * T) * 2, 0.3f + 0.7*sin(5 * T) * 2);
targetaa[1].Set(0.5f + 0.4*sin(4 * T) * 2, -0.5 + 0.9f + 0.3*sin(4 * T) * 2, -0.2f + 1.0*sin(3 * T) * 2);
targetaa[2].Set(-0.5f + 0.8*sin(6 * T) * 2, -0.5 + 1.1f + 0.2*sin(7 * T) * 2, 0.3f + 0.5*sin(8 * T) * 2);
targetaa[3].Set(-1.6f + 0.8*sin(4 * T) * 2, -0.5 + 0.8f + 0.3*sin(4 * T) * 2, -0.2f + 0.3*sin(3 * T) * 2);
}
// Does a single update (on one kind of m_ikTree)
void DoUpdateStep(double Tstep, Tree& treeY, Jacobian* jacob, int ikMethod)
{
B3_PROFILE("IK_DoUpdateStep");
if (SleepCounter == 0)
{
T += Tstep*0.1;
UpdateTargets(T, treeY);
}
if (UseJacobianTargets1)
{
jacob->SetJtargetActive();
}
else
{
jacob->SetJendActive();
}
jacob->ComputeJacobian(targetaa); // Set up Jacobian and deltaS vectors
MatrixRmn AugMat;
// Calculate the change in theta values
switch (ikMethod)
{
case IK_JACOB_TRANS:
jacob->CalcDeltaThetasTranspose(); // Jacobian transpose method
break;
case IK_DLS:
jacob->CalcDeltaThetasDLS(AugMat); // Damped least squares method
break;
case IK_DLS_SVD:
jacob->CalcDeltaThetasDLSwithSVD();
break;
case IK_PURE_PSEUDO:
jacob->CalcDeltaThetasPseudoinverse(); // Pure pseudoinverse method
break;
case IK_SDLS:
jacob->CalcDeltaThetasSDLS(); // Selectively damped least squares method
break;
default:
jacob->ZeroDeltaThetas();
break;
}
if (SleepCounter == 0)
{
jacob->UpdateThetas(); // Apply the change in the theta values
jacob->UpdatedSClampValue(targetaa);
SleepCounter = SleepsPerStep;
}
else
{
SleepCounter--;
}
}
///quick demo showing the right-handed coordinate system and positive rotations around each axis
class InverseKinematicsExample : public CommonExampleInterface
{
CommonGraphicsApp* m_app;
int m_ikMethod;
Tree m_ikTree;
b3AlignedObjectArray<Node*> m_ikNodes;
Jacobian* m_ikJacobian;
b3AlignedObjectArray<int> m_movingInstances;
b3AlignedObjectArray<int> m_targetInstances;
enum
{
numCubesX = 20,
numCubesY = 20
};
public:
InverseKinematicsExample(CommonGraphicsApp* app, int option)
: m_app(app),
m_ikMethod(option)
{
m_app->setUpAxis(1);
{
b3Vector3 extents = b3MakeVector3(100, 100, 100);
extents[m_app->getUpAxis()] = 1;
int xres = 20;
int yres = 20;
b3Vector4 color0 = b3MakeVector4(0.4, 0.4, 0.4, 1);
b3Vector4 color1 = b3MakeVector4(0.6, 0.6, 0.6, 1);
//m_app->registerGrid(xres, yres, color0, color1);
}
///create some graphics proxy for the tracking target
///the endeffector tries to track it using Inverse Kinematics
{
int sphereId = m_app->registerGraphicsUnitSphereShape(SPHERE_LOD_MEDIUM);
b3Vector3 pos = b3MakeVector3(1, 1, 1);
pos[app->getUpAxis()] = 1;
b3Quaternion orn(0, 0, 0, 1);
b3Vector4 color = b3MakeVector4(1., 0.3, 0.3, 1);
b3Vector3 scaling = b3MakeVector3(.1, .1, .1);
m_targetInstances.push_back(m_app->m_renderer->registerGraphicsInstance(sphereId, pos, orn, color, scaling));
m_targetInstances.push_back(m_app->m_renderer->registerGraphicsInstance(sphereId, pos, orn, color, scaling));
m_targetInstances.push_back(m_app->m_renderer->registerGraphicsInstance(sphereId, pos, orn, color, scaling));
m_targetInstances.push_back(m_app->m_renderer->registerGraphicsInstance(sphereId, pos, orn, color, scaling));
}
m_app->m_renderer->writeTransforms();
}
virtual ~InverseKinematicsExample()
{
}
virtual void physicsDebugDraw(int debugDrawMode)
{
}
virtual void initPhysics()
{
BuildKukaIIWAShape();
m_ikJacobian = new Jacobian(&m_ikTree);
Reset(m_ikTree, m_ikJacobian);
}
virtual void exitPhysics()
{
delete m_ikJacobian;
m_ikJacobian = 0;
}
void BuildKukaIIWAShape();
void getLocalTransform(const Node* node, b3Transform& act)
{
b3Vector3 axis = b3MakeVector3(node->v.x, node->v.y, node->v.z);
b3Quaternion rot(0, 0, 0, 1);
if (axis.length())
{
rot = b3Quaternion(axis, node->theta);
}
act.setIdentity();
act.setRotation(rot);
act.setOrigin(b3MakeVector3(node->r.x, node->r.y, node->r.z));
}
void MyDrawTree(Node* node, const b3Transform& tr, const b3Transform& parentTr)
{
int lineWidth = 2;
if (node != 0)
{
b3Vector3 pos = b3MakeVector3(tr.getOrigin().x, tr.getOrigin().y, tr.getOrigin().z);
b3Vector3 color1 = b3MakeVector3(0, 1, 0);
int pointSize = 10;
m_app->m_renderer->drawPoint(pos, color1, pointSize);
m_app->m_renderer->drawLine(pos, pos + 0.05 * tr.getBasis().getColumn(0), b3MakeVector3(1, 0, 0), lineWidth);
m_app->m_renderer->drawLine(pos, pos + 0.05 * tr.getBasis().getColumn(1), b3MakeVector3(0, 1, 0), lineWidth);
m_app->m_renderer->drawLine(pos, pos + 0.05 * tr.getBasis().getColumn(2), b3MakeVector3(0, 0, 1), lineWidth);
b3Vector3 axisLocal = b3MakeVector3(node->v.x, node->v.y, node->v.z);
b3Vector3 axisWorld = tr.getBasis() * axisLocal;
m_app->m_renderer->drawLine(pos, pos + 0.1 * axisWorld, b3MakeVector3(.2, 0.2, 0.7), 5);
if (node->right)
{
b3Transform act;
getLocalTransform(node->right, act);
b3Transform trr = tr * act;
b3Transform ptrr = parentTr * act;
b3Vector3 lineColor = b3MakeVector3(0, 1, 0);
m_app->m_renderer->drawLine(tr.getOrigin(), ptrr.getOrigin(), lineColor, lineWidth);
MyDrawTree(node->right, ptrr, parentTr); // Draw right siblings recursively
}
//node->DrawNode(node == root); // Recursively draw node and update ModelView matrix
if (node->left)
{
b3Transform act;
getLocalTransform(node->left, act);
b3Vector3 lineColor = b3MakeVector3(1, 0, 0);
b3Transform trl = tr * act;
m_app->m_renderer->drawLine(tr.getOrigin(), trl.getOrigin(), lineColor, lineWidth);
MyDrawTree(node->left, trl, tr); // Draw m_ikTree of children recursively
}
}
}
virtual void stepSimulation(float deltaTime)
{
DoUpdateStep(deltaTime, m_ikTree, m_ikJacobian, m_ikMethod);
}
virtual void renderScene()
{
b3Transform act;
getLocalTransform(m_ikTree.GetRoot(), act);
MyDrawTree(m_ikTree.GetRoot(), act, b3Transform::getIdentity());
for (int i = 0; i < m_targetInstances.size(); i++)
{
b3Vector3 pos = b3MakeVector3(targetaa[i].x, targetaa[i].y, targetaa[i].z);
b3Quaternion orn(0, 0, 0, 1);
m_app->m_renderer->writeSingleInstanceTransformToCPU(pos, orn, m_targetInstances[i]);
}
m_app->m_renderer->writeTransforms();
m_app->m_renderer->renderScene();
}
virtual void physicsDebugDraw()
{
}
virtual bool mouseMoveCallback(float x, float y)
{
return false;
}
virtual bool mouseButtonCallback(int button, int state, float x, float y)
{
return false;
}
virtual bool keyboardCallback(int key, int state)
{
return false;
}
virtual void resetCamera()
{
float dist = 1.3;
float pitch = -13;
float yaw = 120;
float targetPos[3] = {-0.35, 0.14, 0.25};
if (m_app->m_renderer && m_app->m_renderer->getActiveCamera())
{
m_app->m_renderer->getActiveCamera()->setCameraDistance(dist);
m_app->m_renderer->getActiveCamera()->setCameraPitch(pitch);
m_app->m_renderer->getActiveCamera()->setCameraYaw(yaw);
m_app->m_renderer->getActiveCamera()->setCameraTargetPosition(targetPos[0], targetPos[1], targetPos[2]);
}
}
};
void InverseKinematicsExample::BuildKukaIIWAShape()
{
m_ikNodes.resize(29);
const VectorR3& unitx = VectorR3::UnitX;
const VectorR3& unity = VectorR3::UnitY;
const VectorR3& unitz = VectorR3::UnitZ;
const VectorR3 unit1(sqrt(14.0) / 8.0, 1.0 / 8.0, 7.0 / 8.0);
const VectorR3& zero = VectorR3::Zero;
VectorR3 p0(0.0f, -1.5f, 0.0f);
VectorR3 p1(0.0f, -1.0f, 0.0f);
VectorR3 p2(0.0f, -0.5f, 0.0f);
VectorR3 p3(0.5f*Root2Inv, -0.5 + 0.5*Root2Inv, 0.0f);
VectorR3 p4(0.5f*Root2Inv + 0.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 0.5f*0.5, 0.0f);
VectorR3 p5(0.5f*Root2Inv + 1.0f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.0f*0.5, 0.0f);
VectorR3 p6(0.5f*Root2Inv + 1.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.5f*0.5, 0.0f);
VectorR3 p7(0.5f*Root2Inv + 0.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 0.5f*HalfRoot3, 0.0f);
VectorR3 p8(0.5f*Root2Inv + 1.0f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.0f*HalfRoot3, 0.0f);
VectorR3 p9(0.5f*Root2Inv + 1.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.5f*HalfRoot3, 0.0f);
VectorR3 p10(-0.5f*Root2Inv, -0.5 + 0.5*Root2Inv, 0.0f);
VectorR3 p11(-0.5f*Root2Inv - 0.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 0.5f*HalfRoot3, 0.0f);
VectorR3 p12(-0.5f*Root2Inv - 1.0f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.0f*HalfRoot3, 0.0f);
VectorR3 p13(-0.5f*Root2Inv - 1.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.5f*HalfRoot3, 0.0f);
VectorR3 p14(-0.5f*Root2Inv - 0.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 0.5f*0.5, 0.0f);
VectorR3 p15(-0.5f*Root2Inv - 1.0f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.0f*0.5, 0.0f);
VectorR3 p16(-0.5f*Root2Inv - 1.5f*HalfRoot3, -0.5 + 0.5*Root2Inv + 1.5f*0.5, 0.0f);
m_ikNodes[0] = new Node(p0, unit1, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertRoot(m_ikNodes[0]);
m_ikNodes[1] = new Node(p1, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[0], m_ikNodes[1]);
m_ikNodes[2] = new Node(p1, unitz, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[1], m_ikNodes[2]);
m_ikNodes[3] = new Node(p2, unitz, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[2], m_ikNodes[3]);
m_ikNodes[4] = new Node(p2, unitz, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertRightSibling(m_ikNodes[3], m_ikNodes[4]);
m_ikNodes[5] = new Node(p3, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[3], m_ikNodes[5]);
m_ikNodes[6] = new Node(p3, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertRightSibling(m_ikNodes[5], m_ikNodes[6]);
m_ikNodes[7] = new Node(p3, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[5], m_ikNodes[7]);
m_ikNodes[8] = new Node(p4, unitz, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[7], m_ikNodes[8]);
m_ikNodes[9] = new Node(p5, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[8], m_ikNodes[9]);
m_ikNodes[10] = new Node(p5, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[9], m_ikNodes[10]);
m_ikNodes[11] = new Node(p6, zero, 0.08, EFFECTOR);
m_ikTree.InsertLeftChild(m_ikNodes[10], m_ikNodes[11]);
m_ikNodes[12] = new Node(p3, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[6], m_ikNodes[12]);
m_ikNodes[13] = new Node(p7, unitz, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[12], m_ikNodes[13]);
m_ikNodes[14] = new Node(p8, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[13], m_ikNodes[14]);
m_ikNodes[15] = new Node(p8, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[14], m_ikNodes[15]);
m_ikNodes[16] = new Node(p9, zero, 0.08, EFFECTOR);
m_ikTree.InsertLeftChild(m_ikNodes[15], m_ikNodes[16]);
m_ikNodes[17] = new Node(p10, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[4], m_ikNodes[17]);
m_ikNodes[18] = new Node(p10, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[17], m_ikNodes[18]);
m_ikNodes[19] = new Node(p10, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertRightSibling(m_ikNodes[17], m_ikNodes[19]);
m_ikNodes[20] = new Node(p11, unitz, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[18], m_ikNodes[20]);
m_ikNodes[21] = new Node(p12, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[20], m_ikNodes[21]);
m_ikNodes[22] = new Node(p12, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[21], m_ikNodes[22]);
m_ikNodes[23] = new Node(p13, zero, 0.08, EFFECTOR);
m_ikTree.InsertLeftChild(m_ikNodes[22], m_ikNodes[23]);
m_ikNodes[24] = new Node(p10, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[19], m_ikNodes[24]);
m_ikNodes[25] = new Node(p14, unitz, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[24], m_ikNodes[25]);
m_ikNodes[26] = new Node(p15, unitx, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[25], m_ikNodes[26]);
m_ikNodes[27] = new Node(p15, unity, 0.08, JOINT, RADIAN(-180.), RADIAN(180.), RADIAN(30.));
m_ikTree.InsertLeftChild(m_ikNodes[26], m_ikNodes[27]);
m_ikNodes[28] = new Node(p16, zero, 0.08, EFFECTOR);
m_ikTree.InsertLeftChild(m_ikNodes[27], m_ikNodes[28]);
}
class CommonExampleInterface* InverseKinematicsExampleCreateFunc(struct CommonExampleOptions& options)
{
return new InverseKinematicsExample(options.m_guiHelper->getAppInterface(), options.m_option);
}