Implement multibody joints and the new solver

This commit is contained in:
Sébastien Crozet
2022-01-02 14:47:40 +01:00
parent b45d4b5ac2
commit f74b8401ad
182 changed files with 9871 additions and 12645 deletions

View File

@@ -0,0 +1,571 @@
use crate::dynamics::solver::AnyJointVelocityConstraint;
use crate::dynamics::{
joint, FixedJoint, IntegrationParameters, JointAxesMask, JointData, Multibody, MultibodyLink,
RigidBodyVelocity,
};
use crate::math::{
Isometry, JacobianSliceMut, Matrix, Real, Rotation, SpacialVector, Translation, Vector,
ANG_DIM, DIM, SPATIAL_DIM,
};
use crate::utils::WCross;
use na::{DVector, DVectorSliceMut};
#[cfg(feature = "dim3")]
use {
crate::utils::WCrossMatrix,
na::{UnitQuaternion, Vector3, VectorSlice3},
};
#[derive(Copy, Clone, Debug)]
pub struct MultibodyJoint {
pub data: JointData,
pub(crate) coords: SpacialVector<Real>,
pub(crate) joint_rot: Rotation<Real>,
jacobian_v: Matrix<Real>,
jacobian_dot_v: Matrix<Real>,
jacobian_dot_veldiff_v: Matrix<Real>,
}
#[cfg(feature = "dim2")]
fn revolute_locked_axes() -> JointAxesMask {
JointAxesMask::X | JointAxesMask::Y
}
#[cfg(feature = "dim3")]
fn revolute_locked_axes() -> JointAxesMask {
JointAxesMask::X
| JointAxesMask::Y
| JointAxesMask::Z
| JointAxesMask::ANG_Y
| JointAxesMask::ANG_Z
}
impl MultibodyJoint {
pub fn new(data: JointData) -> Self {
Self {
data,
coords: na::zero(),
joint_rot: Rotation::identity(),
jacobian_v: na::zero(),
jacobian_dot_v: na::zero(),
jacobian_dot_veldiff_v: na::zero(),
}
}
pub(crate) fn free(pos: Isometry<Real>) -> Self {
let mut result = Self::new(JointData::default());
result.set_free_pos(pos);
result
}
pub(crate) fn fixed(pos: Isometry<Real>) -> Self {
Self::new(FixedJoint::new().local_frame1(pos).into())
}
pub(crate) fn set_free_pos(&mut self, pos: Isometry<Real>) {
self.coords
.fixed_rows_mut::<DIM>(0)
.copy_from(&pos.translation.vector);
self.joint_rot = pos.rotation;
}
pub fn local_joint_rot(&self) -> &Rotation<Real> {
&self.joint_rot
}
fn num_free_lin_dofs(&self) -> usize {
let locked_bits = self.data.locked_axes.bits();
DIM - (locked_bits & ((1 << DIM) - 1)).count_ones() as usize
}
/// The number of degrees of freedom allowed by the multibody_joint.
pub fn ndofs(&self) -> usize {
SPATIAL_DIM - self.data.locked_axes.bits().count_ones() as usize
}
/// The position of the multibody link containing this multibody_joint relative to its parent.
pub fn body_to_parent(&self) -> Isometry<Real> {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
self.data.local_frame1.translation
* self.joint_rot
* self.data.local_frame2.translation.inverse()
} else {
let locked_bits = self.data.locked_axes.bits();
let mut transform = self.joint_rot * self.data.local_frame2.inverse();
for i in 0..DIM {
if (locked_bits & (1 << i)) == 0 {
transform = Translation::from(Vector::ith(i, self.coords[i])) * transform;
}
}
self.data.local_frame1 * transform
}
}
/// Integrate the position of this multibody_joint.
pub fn integrate(&mut self, dt: Real, vels: &[Real]) {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
#[cfg(feature = "dim3")]
let axis = self.data.local_frame1 * Vector::x_axis();
self.coords[DIM] += vels[0] * dt;
#[cfg(feature = "dim2")]
{
self.joint_rot = Rotation::from_angle(self.coords[DIM]);
}
#[cfg(feature = "dim3")]
{
self.joint_rot = Rotation::from_axis_angle(&axis, self.coords[DIM]);
}
} else {
let locked_bits = self.data.locked_axes.bits();
let mut curr_free_dof = 0;
for i in 0..DIM {
if (locked_bits & (1 << i)) == 0 {
self.coords[i] += vels[curr_free_dof] * dt;
curr_free_dof += 1;
}
}
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => { /* No free dofs. */ }
1 => {
todo!()
}
2 => {
todo!()
}
#[cfg(feature = "dim3")]
3 => {
let angvel = Vector3::from_row_slice(&vels[curr_free_dof..curr_free_dof + 3]);
let disp = UnitQuaternion::new_eps(angvel * dt, 0.0);
self.joint_rot = disp * self.joint_rot;
}
_ => unreachable!(),
}
}
}
/// Apply a displacement to the multibody_joint.
pub fn apply_displacement(&mut self, disp: &[Real]) {
self.integrate(1.0, disp);
}
/// Update the jacobians of this multibody_joint.
pub fn update_jacobians(&mut self, vels: &[Real]) {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
#[cfg(feature = "dim2")]
let axis = 1.0;
#[cfg(feature = "dim3")]
let axis = self.data.local_frame1 * Vector::x_axis();
let body_shift = self.data.local_frame2.translation.vector;
let shift = self.joint_rot * -body_shift;
let shift_dot_veldiff = axis.gcross(shift);
#[cfg(feature = "dim2")]
{
self.jacobian_v.column_mut(0).copy_from(&axis.gcross(shift));
}
#[cfg(feature = "dim3")]
{
self.jacobian_v.column_mut(0).copy_from(&axis.gcross(shift));
}
self.jacobian_dot_veldiff_v
.column_mut(0)
.copy_from(&axis.gcross(shift_dot_veldiff));
self.jacobian_dot_v
.column_mut(0)
.copy_from(&(axis.gcross(shift_dot_veldiff) * vels[0]));
} else {
let locked_bits = self.data.locked_axes.bits();
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => { /* No free dofs. */ }
1 => {
todo!()
}
2 => {
todo!()
}
#[cfg(feature = "dim3")]
3 => {
let num_free_lin_dofs = self.num_free_lin_dofs();
let inv_frame2 = self.data.local_frame2.inverse();
let shift = self.joint_rot * inv_frame2.translation.vector;
let angvel =
VectorSlice3::from_slice(&vels[num_free_lin_dofs..num_free_lin_dofs + 3]);
let inv_rotmat2 = inv_frame2.rotation.to_rotation_matrix().into_inner();
self.jacobian_v = inv_rotmat2 * shift.gcross_matrix().transpose();
self.jacobian_dot_v =
inv_rotmat2 * angvel.cross(&shift).gcross_matrix().transpose();
}
_ => unreachable!(),
}
}
}
/// Sets in `out` the non-zero entries of the multibody_joint jacobian transformed by `transform`.
pub fn jacobian(&self, transform: &Isometry<Real>, out: &mut JacobianSliceMut<Real>) {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
#[cfg(feature = "dim2")]
let axis = 1.0;
#[cfg(feature = "dim3")]
let axis = self.data.local_frame1 * Vector::x();
let jacobian = RigidBodyVelocity::new(self.jacobian_v.column(0).into_owned(), axis);
out.copy_from(jacobian.transformed(transform).as_vector())
} else {
let locked_bits = self.data.locked_axes.bits();
let mut curr_free_dof = 0;
for i in 0..DIM {
if (locked_bits & (1 << i)) == 0 {
let transformed_axis = transform * self.data.local_frame1 * Vector::ith(i, 1.0);
out.fixed_slice_mut::<DIM, 1>(0, curr_free_dof)
.copy_from(&transformed_axis);
curr_free_dof += 1;
}
}
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => { /* No free dofs. */ }
1 => {
todo!()
}
2 => {
todo!()
}
#[cfg(feature = "dim3")]
3 => {
let rotmat = transform.rotation.to_rotation_matrix();
out.fixed_slice_mut::<3, 3>(0, curr_free_dof)
.copy_from(&(rotmat * self.jacobian_v));
out.fixed_slice_mut::<3, 3>(3, curr_free_dof)
.copy_from(rotmat.matrix());
}
_ => unreachable!(),
}
}
}
/// Sets in `out` the non-zero entries of the time-derivative of the multibody_joint jacobian transformed by `transform`.
pub fn jacobian_dot(&self, transform: &Isometry<Real>, out: &mut JacobianSliceMut<Real>) {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
let jacobian = RigidBodyVelocity::from_vectors(
self.jacobian_dot_v.column(0).into_owned(),
na::zero(),
);
out.copy_from(jacobian.transformed(transform).as_vector())
} else {
let locked_bits = self.data.locked_axes.bits();
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => { /* No free dofs. */ }
1 => {
todo!()
}
2 => {
todo!()
}
#[cfg(feature = "dim3")]
3 => {
let num_free_lin_dofs = self.num_free_lin_dofs();
let rotmat = transform.rotation.to_rotation_matrix();
out.fixed_slice_mut::<3, 3>(0, num_free_lin_dofs)
.copy_from(&(rotmat * self.jacobian_dot_v));
}
_ => unreachable!(),
}
}
}
/// Sets in `out` the non-zero entries of the velocity-derivative of the time-derivative of the multibody_joint jacobian transformed by `transform`.
pub fn jacobian_dot_veldiff_mul_coordinates(
&self,
transform: &Isometry<Real>,
acc: &[Real],
out: &mut JacobianSliceMut<Real>,
) {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
let jacobian = RigidBodyVelocity::from_vectors(
self.jacobian_dot_veldiff_v.column(0).into_owned(),
na::zero(),
);
out.copy_from((jacobian.transformed(transform) * acc[0]).as_vector())
} else {
let locked_bits = self.data.locked_axes.bits();
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => { /* No free dofs. */ }
1 => {
todo!()
}
2 => {
todo!()
}
#[cfg(feature = "dim3")]
3 => {
let num_free_lin_dofs = self.num_free_lin_dofs();
let angvel =
Vector3::from_row_slice(&acc[num_free_lin_dofs..num_free_lin_dofs + 3]);
let rotmat = transform.rotation.to_rotation_matrix();
let res = rotmat * angvel.gcross_matrix() * self.jacobian_v;
out.fixed_slice_mut::<3, 3>(0, num_free_lin_dofs)
.copy_from(&res);
}
_ => unreachable!(),
}
}
}
/// Multiply the multibody_joint jacobian by generalized velocities to obtain the
/// relative velocity of the multibody link containing this multibody_joint.
pub fn jacobian_mul_coordinates(&self, acc: &[Real]) -> RigidBodyVelocity {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
#[cfg(feature = "dim2")]
let axis = 1.0;
#[cfg(feature = "dim3")]
let axis = self.data.local_frame1 * Vector::x();
RigidBodyVelocity::new(self.jacobian_v.column(0).into_owned(), axis) * acc[0]
} else {
let locked_bits = self.data.locked_axes.bits();
let mut result = RigidBodyVelocity::zero();
let mut curr_free_dof = 0;
for i in 0..DIM {
if (locked_bits & (1 << i)) == 0 {
result.linvel += self.data.local_frame1 * Vector::ith(i, acc[curr_free_dof]);
curr_free_dof += 1;
}
}
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => { /* No free dofs. */ }
1 => {
todo!()
}
2 => {
todo!()
}
#[cfg(feature = "dim3")]
3 => {
let angvel = Vector3::from_row_slice(&acc[curr_free_dof..curr_free_dof + 3]);
let linvel = self.jacobian_v * angvel;
result += RigidBodyVelocity::new(linvel, angvel);
}
_ => unreachable!(),
}
result
}
}
/// Multiply the multibody_joint jacobian by generalized accelerations to obtain the
/// relative acceleration of the multibody link containing this multibody_joint.
pub fn jacobian_dot_mul_coordinates(&self, acc: &[Real]) -> RigidBodyVelocity {
if self.data.locked_axes == revolute_locked_axes() {
// FIXME: this is a special case for the revolute joint.
// We have the mathematical formulation ready that works in the general case, but its
// implementation will take some time. So lets make a special case for the alpha
// release and fix is soon after.
RigidBodyVelocity::from_vectors(self.jacobian_dot_v.column(0).into_owned(), na::zero())
* acc[0]
} else {
let locked_bits = self.data.locked_axes.bits();
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => {
/* No free dofs. */
RigidBodyVelocity::zero()
}
1 => {
todo!()
}
2 => {
todo!()
}
#[cfg(feature = "dim3")]
3 => {
let num_free_lin_dofs = self.num_free_lin_dofs();
let angvel =
Vector3::from_row_slice(&acc[num_free_lin_dofs..num_free_lin_dofs + 3]);
let linvel = self.jacobian_dot_v * angvel;
RigidBodyVelocity::new(linvel, na::zero())
}
_ => unreachable!(),
}
}
}
/// Fill `out` with the non-zero entries of a damping that can be applied by default to ensure a good stability of the multibody_joint.
pub fn default_damping(&self, out: &mut DVectorSliceMut<Real>) {
let locked_bits = self.data.locked_axes.bits();
let mut curr_free_dof = self.num_free_lin_dofs();
// A default damping only for the angular dofs
for i in DIM..SPATIAL_DIM {
if locked_bits & (1 << i) == 0 {
// This is a free angular DOF.
out[curr_free_dof] = 0.2;
curr_free_dof += 1;
}
}
}
/// Maximum number of velocity constrains that can be generated by this multibody_joint.
pub fn num_velocity_constraints(&self) -> usize {
let locked_bits = self.data.locked_axes.bits();
let limit_bits = self.data.limit_axes.bits();
let motor_bits = self.data.motor_axes.bits();
let mut num_constraints = 0;
for i in 0..SPATIAL_DIM {
if (locked_bits & (1 << i)) == 0 {
if (limit_bits & (1 << i)) != 0 {
num_constraints += 1;
}
if (motor_bits & (1 << i)) != 0 {
num_constraints += 1;
}
}
}
num_constraints
}
/// Initialize and generate velocity constraints to enforce, e.g., multibody_joint limits and motors.
pub fn velocity_constraints(
&self,
params: &IntegrationParameters,
multibody: &Multibody,
link: &MultibodyLink,
dof_id: usize,
j_id: &mut usize,
jacobians: &mut DVector<Real>,
constraints: &mut Vec<AnyJointVelocityConstraint>,
) {
let locked_bits = self.data.locked_axes.bits();
let limit_bits = self.data.limit_axes.bits();
let motor_bits = self.data.motor_axes.bits();
let mut curr_free_dof = 0;
for i in 0..DIM {
if (locked_bits & (1 << i)) == 0 {
if (limit_bits & (1 << i)) != 0 {
joint::unit_joint_limit_constraint(
params,
multibody,
link,
[self.data.limits[i].min, self.data.limits[i].max],
self.coords[i],
dof_id + curr_free_dof,
j_id,
jacobians,
constraints,
);
}
if (motor_bits & (1 << i)) != 0 {
joint::unit_joint_motor_constraint(
params,
multibody,
link,
&self.data.motors[i],
self.coords[i],
dof_id + curr_free_dof,
j_id,
jacobians,
constraints,
);
}
curr_free_dof += 1;
}
}
/*
let locked_ang_bits = locked_bits >> DIM;
let num_free_ang_dofs = ANG_DIM - locked_ang_bits.count_ones() as usize;
match num_free_ang_dofs {
0 => { /* No free dofs. */ }
1 => {}
2 => {
todo!()
}
3 => {}
_ => unreachable!(),
}
*/
// TODO: we should make special cases for multi-angular-dofs limits/motors
for i in DIM..SPATIAL_DIM {
if (locked_bits & (1 << i)) == 0 {
if (limit_bits & (1 << i)) != 0 {
joint::unit_joint_limit_constraint(
params,
multibody,
link,
[self.data.limits[i].min, self.data.limits[i].max],
self.coords[i],
dof_id + curr_free_dof,
j_id,
jacobians,
constraints,
);
}
if (motor_bits & (1 << i)) != 0 {
joint::unit_joint_motor_constraint(
params,
multibody,
link,
&self.data.motors[i],
self.coords[i],
dof_id + curr_free_dof,
j_id,
jacobians,
constraints,
);
}
curr_free_dof += 1;
}
}
}
}