473 lines
18 KiB
Rust
473 lines
18 KiB
Rust
use simba::simd::SimdValue;
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use crate::dynamics::solver::DeltaVel;
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use crate::dynamics::{
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FixedJoint, IntegrationParameters, JointGraphEdge, JointIndex, JointParams, RigidBody,
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};
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use crate::math::{
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AngVector, AngularInertia, CrossMatrix, Dim, Isometry, Point, Real, SimdReal, SpacialVector,
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Vector, SIMD_WIDTH,
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};
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use crate::utils::{WAngularInertia, WCross, WCrossMatrix};
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#[cfg(feature = "dim3")]
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use na::{Cholesky, Matrix6, Vector6, U3};
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#[cfg(feature = "dim2")]
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use {
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cdl::utils::SdpMatrix3,
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na::{Matrix3, Vector3},
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};
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#[derive(Debug)]
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pub(crate) struct WFixedVelocityConstraint {
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mj_lambda1: [usize; SIMD_WIDTH],
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mj_lambda2: [usize; SIMD_WIDTH],
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joint_id: [JointIndex; SIMD_WIDTH],
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impulse: SpacialVector<SimdReal>,
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#[cfg(feature = "dim3")]
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inv_lhs: Matrix6<SimdReal>, // FIXME: replace by Cholesky.
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#[cfg(feature = "dim3")]
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rhs: Vector6<SimdReal>,
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#[cfg(feature = "dim2")]
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inv_lhs: Matrix3<SimdReal>,
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#[cfg(feature = "dim2")]
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rhs: Vector3<SimdReal>,
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im1: SimdReal,
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im2: SimdReal,
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ii1: AngularInertia<SimdReal>,
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ii2: AngularInertia<SimdReal>,
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ii1_sqrt: AngularInertia<SimdReal>,
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ii2_sqrt: AngularInertia<SimdReal>,
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r1: Vector<SimdReal>,
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r2: Vector<SimdReal>,
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}
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impl WFixedVelocityConstraint {
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pub fn from_params(
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params: &IntegrationParameters,
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joint_id: [JointIndex; SIMD_WIDTH],
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rbs1: [&RigidBody; SIMD_WIDTH],
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rbs2: [&RigidBody; SIMD_WIDTH],
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cparams: [&FixedJoint; SIMD_WIDTH],
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) -> Self {
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let position1 = Isometry::from(array![|ii| rbs1[ii].position; SIMD_WIDTH]);
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let linvel1 = Vector::from(array![|ii| rbs1[ii].linvel; SIMD_WIDTH]);
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let angvel1 = AngVector::<SimdReal>::from(array![|ii| rbs1[ii].angvel; SIMD_WIDTH]);
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let world_com1 = Point::from(array![|ii| rbs1[ii].world_com; SIMD_WIDTH]);
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let im1 = SimdReal::from(array![|ii| rbs1[ii].mass_properties.inv_mass; SIMD_WIDTH]);
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let ii1_sqrt = AngularInertia::<SimdReal>::from(
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array![|ii| rbs1[ii].world_inv_inertia_sqrt; SIMD_WIDTH],
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);
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let mj_lambda1 = array![|ii| rbs1[ii].active_set_offset; SIMD_WIDTH];
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let position2 = Isometry::from(array![|ii| rbs2[ii].position; SIMD_WIDTH]);
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let linvel2 = Vector::from(array![|ii| rbs2[ii].linvel; SIMD_WIDTH]);
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let angvel2 = AngVector::<SimdReal>::from(array![|ii| rbs2[ii].angvel; SIMD_WIDTH]);
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let world_com2 = Point::from(array![|ii| rbs2[ii].world_com; SIMD_WIDTH]);
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let im2 = SimdReal::from(array![|ii| rbs2[ii].mass_properties.inv_mass; SIMD_WIDTH]);
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let ii2_sqrt = AngularInertia::<SimdReal>::from(
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array![|ii| rbs2[ii].world_inv_inertia_sqrt; SIMD_WIDTH],
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);
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let mj_lambda2 = array![|ii| rbs2[ii].active_set_offset; SIMD_WIDTH];
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let local_anchor1 = Isometry::from(array![|ii| cparams[ii].local_anchor1; SIMD_WIDTH]);
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let local_anchor2 = Isometry::from(array![|ii| cparams[ii].local_anchor2; SIMD_WIDTH]);
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let impulse = SpacialVector::from(array![|ii| cparams[ii].impulse; SIMD_WIDTH]);
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let anchor1 = position1 * local_anchor1;
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let anchor2 = position2 * local_anchor2;
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let ii1 = ii1_sqrt.squared();
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let ii2 = ii2_sqrt.squared();
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let r1 = anchor1.translation.vector - world_com1.coords;
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let r2 = anchor2.translation.vector - world_com2.coords;
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let rmat1: CrossMatrix<_> = r1.gcross_matrix();
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let rmat2: CrossMatrix<_> = r2.gcross_matrix();
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#[allow(unused_mut)] // For 2D.
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let mut lhs;
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#[cfg(feature = "dim3")]
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{
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let lhs00 =
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ii1.quadform(&rmat1).add_diagonal(im1) + ii2.quadform(&rmat2).add_diagonal(im2);
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let lhs10 = ii1.transform_matrix(&rmat1) + ii2.transform_matrix(&rmat2);
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let lhs11 = (ii1 + ii2).into_matrix();
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// Note that Cholesky only reads the lower-triangular part of the matrix
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// so we don't need to fill lhs01.
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lhs = Matrix6::zeros();
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lhs.fixed_slice_mut::<U3, U3>(0, 0)
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.copy_from(&lhs00.into_matrix());
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lhs.fixed_slice_mut::<U3, U3>(3, 0).copy_from(&lhs10);
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lhs.fixed_slice_mut::<U3, U3>(3, 3).copy_from(&lhs11);
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}
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// In 2D we just unroll the computation because
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// it's just easier that way.
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#[cfg(feature = "dim2")]
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{
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let m11 = im1 + im2 + rmat1.x * rmat1.x * ii1 + rmat2.x * rmat2.x * ii2;
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let m12 = rmat1.x * rmat1.y * ii1 + rmat2.x * rmat2.y * ii2;
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let m22 = im1 + im2 + rmat1.y * rmat1.y * ii1 + rmat2.y * rmat2.y * ii2;
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let m13 = rmat1.x * ii1 + rmat2.x * ii2;
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let m23 = rmat1.y * ii1 + rmat2.y * ii2;
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let m33 = ii1 + ii2;
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lhs = SdpMatrix3::new(m11, m12, m13, m22, m23, m33)
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}
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// NOTE: we don't use cholesky in 2D because we only have a 3x3 matrix
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// for which a textbook inverse is still efficient.
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#[cfg(feature = "dim2")]
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let inv_lhs = lhs.inverse_unchecked().into_matrix(); // FIXME: don't extract the matrix?
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#[cfg(feature = "dim3")]
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let inv_lhs = Cholesky::new_unchecked(lhs).inverse();
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let lin_dvel = -linvel1 - angvel1.gcross(r1) + linvel2 + angvel2.gcross(r2);
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let ang_dvel = -angvel1 + angvel2;
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#[cfg(feature = "dim2")]
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let rhs = Vector3::new(lin_dvel.x, lin_dvel.y, ang_dvel);
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#[cfg(feature = "dim3")]
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let rhs = Vector6::new(
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lin_dvel.x, lin_dvel.y, lin_dvel.z, ang_dvel.x, ang_dvel.y, ang_dvel.z,
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);
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WFixedVelocityConstraint {
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joint_id,
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mj_lambda1,
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mj_lambda2,
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im1,
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im2,
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ii1,
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ii2,
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ii1_sqrt,
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ii2_sqrt,
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impulse: impulse * SimdReal::splat(params.warmstart_coeff),
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inv_lhs,
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r1,
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r2,
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rhs,
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}
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}
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pub fn warmstart(&self, mj_lambdas: &mut [DeltaVel<Real>]) {
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let mut mj_lambda1 = DeltaVel {
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linear: Vector::from(
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array![|ii| mj_lambdas[self.mj_lambda1[ii] as usize].linear; SIMD_WIDTH],
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),
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angular: AngVector::from(
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array![|ii| mj_lambdas[self.mj_lambda1[ii] as usize].angular; SIMD_WIDTH],
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),
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};
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let mut mj_lambda2 = DeltaVel {
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linear: Vector::from(
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array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].linear; SIMD_WIDTH],
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),
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angular: AngVector::from(
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array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].angular; SIMD_WIDTH],
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),
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};
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let lin_impulse = self.impulse.fixed_rows::<Dim>(0).into_owned();
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#[cfg(feature = "dim2")]
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let ang_impulse = self.impulse[2];
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#[cfg(feature = "dim3")]
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let ang_impulse = self.impulse.fixed_rows::<U3>(3).into_owned();
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mj_lambda1.linear += lin_impulse * self.im1;
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mj_lambda1.angular += self
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.ii1_sqrt
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.transform_vector(ang_impulse + self.r1.gcross(lin_impulse));
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mj_lambda2.linear -= lin_impulse * self.im2;
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mj_lambda2.angular -= self
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.ii2_sqrt
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.transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
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for ii in 0..SIMD_WIDTH {
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mj_lambdas[self.mj_lambda1[ii] as usize].linear = mj_lambda1.linear.extract(ii);
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mj_lambdas[self.mj_lambda1[ii] as usize].angular = mj_lambda1.angular.extract(ii);
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}
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for ii in 0..SIMD_WIDTH {
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mj_lambdas[self.mj_lambda2[ii] as usize].linear = mj_lambda2.linear.extract(ii);
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mj_lambdas[self.mj_lambda2[ii] as usize].angular = mj_lambda2.angular.extract(ii);
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}
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}
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pub fn solve(&mut self, mj_lambdas: &mut [DeltaVel<Real>]) {
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let mut mj_lambda1: DeltaVel<SimdReal> = DeltaVel {
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linear: Vector::from(
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array![|ii| mj_lambdas[self.mj_lambda1[ii] as usize].linear; SIMD_WIDTH],
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),
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angular: AngVector::from(
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array![|ii| mj_lambdas[self.mj_lambda1[ii] as usize].angular; SIMD_WIDTH],
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),
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};
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let mut mj_lambda2: DeltaVel<SimdReal> = DeltaVel {
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linear: Vector::from(
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array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].linear; SIMD_WIDTH],
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),
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angular: AngVector::from(
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array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].angular; SIMD_WIDTH],
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),
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};
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let ang_vel1 = self.ii1_sqrt.transform_vector(mj_lambda1.angular);
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let ang_vel2 = self.ii2_sqrt.transform_vector(mj_lambda2.angular);
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let dlinvel = -mj_lambda1.linear - ang_vel1.gcross(self.r1)
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+ mj_lambda2.linear
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+ ang_vel2.gcross(self.r2);
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let dangvel = -ang_vel1 + ang_vel2;
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#[cfg(feature = "dim2")]
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let rhs = Vector3::new(dlinvel.x, dlinvel.y, dangvel) + self.rhs;
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#[cfg(feature = "dim3")]
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let rhs = Vector6::new(
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dlinvel.x, dlinvel.y, dlinvel.z, dangvel.x, dangvel.y, dangvel.z,
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) + self.rhs;
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let impulse = self.inv_lhs * rhs;
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self.impulse += impulse;
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let lin_impulse = impulse.fixed_rows::<Dim>(0).into_owned();
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#[cfg(feature = "dim2")]
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let ang_impulse = impulse[2];
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#[cfg(feature = "dim3")]
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let ang_impulse = impulse.fixed_rows::<U3>(3).into_owned();
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mj_lambda1.linear += lin_impulse * self.im1;
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mj_lambda1.angular += self
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.ii1_sqrt
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.transform_vector(ang_impulse + self.r1.gcross(lin_impulse));
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mj_lambda2.linear -= lin_impulse * self.im2;
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mj_lambda2.angular -= self
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.ii2_sqrt
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.transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
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for ii in 0..SIMD_WIDTH {
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mj_lambdas[self.mj_lambda1[ii] as usize].linear = mj_lambda1.linear.extract(ii);
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mj_lambdas[self.mj_lambda1[ii] as usize].angular = mj_lambda1.angular.extract(ii);
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}
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for ii in 0..SIMD_WIDTH {
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mj_lambdas[self.mj_lambda2[ii] as usize].linear = mj_lambda2.linear.extract(ii);
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mj_lambdas[self.mj_lambda2[ii] as usize].angular = mj_lambda2.angular.extract(ii);
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}
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}
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pub fn writeback_impulses(&self, joints_all: &mut [JointGraphEdge]) {
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for ii in 0..SIMD_WIDTH {
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let joint = &mut joints_all[self.joint_id[ii]].weight;
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if let JointParams::FixedJoint(fixed) = &mut joint.params {
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fixed.impulse = self.impulse.extract(ii)
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}
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}
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}
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}
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#[derive(Debug)]
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pub(crate) struct WFixedVelocityGroundConstraint {
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mj_lambda2: [usize; SIMD_WIDTH],
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joint_id: [JointIndex; SIMD_WIDTH],
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impulse: SpacialVector<SimdReal>,
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#[cfg(feature = "dim3")]
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inv_lhs: Matrix6<SimdReal>, // FIXME: replace by Cholesky.
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#[cfg(feature = "dim3")]
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rhs: Vector6<SimdReal>,
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#[cfg(feature = "dim2")]
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inv_lhs: Matrix3<SimdReal>,
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#[cfg(feature = "dim2")]
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rhs: Vector3<SimdReal>,
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im2: SimdReal,
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ii2: AngularInertia<SimdReal>,
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ii2_sqrt: AngularInertia<SimdReal>,
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r2: Vector<SimdReal>,
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}
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impl WFixedVelocityGroundConstraint {
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pub fn from_params(
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params: &IntegrationParameters,
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joint_id: [JointIndex; SIMD_WIDTH],
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rbs1: [&RigidBody; SIMD_WIDTH],
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rbs2: [&RigidBody; SIMD_WIDTH],
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cparams: [&FixedJoint; SIMD_WIDTH],
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flipped: [bool; SIMD_WIDTH],
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) -> Self {
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let position1 = Isometry::from(array![|ii| rbs1[ii].position; SIMD_WIDTH]);
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let linvel1 = Vector::from(array![|ii| rbs1[ii].linvel; SIMD_WIDTH]);
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let angvel1 = AngVector::<SimdReal>::from(array![|ii| rbs1[ii].angvel; SIMD_WIDTH]);
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let world_com1 = Point::from(array![|ii| rbs1[ii].world_com; SIMD_WIDTH]);
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let position2 = Isometry::from(array![|ii| rbs2[ii].position; SIMD_WIDTH]);
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let linvel2 = Vector::from(array![|ii| rbs2[ii].linvel; SIMD_WIDTH]);
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let angvel2 = AngVector::<SimdReal>::from(array![|ii| rbs2[ii].angvel; SIMD_WIDTH]);
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let world_com2 = Point::from(array![|ii| rbs2[ii].world_com; SIMD_WIDTH]);
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let im2 = SimdReal::from(array![|ii| rbs2[ii].mass_properties.inv_mass; SIMD_WIDTH]);
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let ii2_sqrt = AngularInertia::<SimdReal>::from(
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array![|ii| rbs2[ii].world_inv_inertia_sqrt; SIMD_WIDTH],
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);
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let mj_lambda2 = array![|ii| rbs2[ii].active_set_offset; SIMD_WIDTH];
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let local_anchor1 = Isometry::from(
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array![|ii| if flipped[ii] { cparams[ii].local_anchor2 } else { cparams[ii].local_anchor1 }; SIMD_WIDTH],
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);
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let local_anchor2 = Isometry::from(
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array![|ii| if flipped[ii] { cparams[ii].local_anchor1 } else { cparams[ii].local_anchor2 }; SIMD_WIDTH],
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);
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let impulse = SpacialVector::from(array![|ii| cparams[ii].impulse; SIMD_WIDTH]);
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let anchor1 = position1 * local_anchor1;
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let anchor2 = position2 * local_anchor2;
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let ii2 = ii2_sqrt.squared();
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let r1 = anchor1.translation.vector - world_com1.coords;
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let r2 = anchor2.translation.vector - world_com2.coords;
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let rmat2: CrossMatrix<_> = r2.gcross_matrix();
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#[allow(unused_mut)] // For 2D.
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let mut lhs;
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#[cfg(feature = "dim3")]
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{
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let lhs00 = ii2.quadform(&rmat2).add_diagonal(im2);
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let lhs10 = ii2.transform_matrix(&rmat2);
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let lhs11 = ii2.into_matrix();
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lhs = Matrix6::zeros();
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lhs.fixed_slice_mut::<U3, U3>(0, 0)
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.copy_from(&lhs00.into_matrix());
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lhs.fixed_slice_mut::<U3, U3>(3, 0).copy_from(&lhs10);
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lhs.fixed_slice_mut::<U3, U3>(3, 3).copy_from(&lhs11);
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}
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// In 2D we just unroll the computation because
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// it's just easier that way.
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#[cfg(feature = "dim2")]
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{
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let m11 = im2 + rmat2.x * rmat2.x * ii2;
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let m12 = rmat2.x * rmat2.y * ii2;
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let m22 = im2 + rmat2.y * rmat2.y * ii2;
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let m13 = rmat2.x * ii2;
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let m23 = rmat2.y * ii2;
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let m33 = ii2;
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lhs = SdpMatrix3::new(m11, m12, m13, m22, m23, m33)
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}
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#[cfg(feature = "dim2")]
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let inv_lhs = lhs.inverse_unchecked().into_matrix(); // FIXME: don't do into_matrix?
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#[cfg(feature = "dim3")]
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let inv_lhs = Cholesky::new_unchecked(lhs).inverse();
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let lin_dvel = linvel2 + angvel2.gcross(r2) - linvel1 - angvel1.gcross(r1);
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let ang_dvel = angvel2 - angvel1;
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#[cfg(feature = "dim2")]
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let rhs = Vector3::new(lin_dvel.x, lin_dvel.y, ang_dvel);
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#[cfg(feature = "dim3")]
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let rhs = Vector6::new(
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lin_dvel.x, lin_dvel.y, lin_dvel.z, ang_dvel.x, ang_dvel.y, ang_dvel.z,
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);
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WFixedVelocityGroundConstraint {
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joint_id,
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mj_lambda2,
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im2,
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ii2,
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ii2_sqrt,
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impulse: impulse * SimdReal::splat(params.warmstart_coeff),
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inv_lhs,
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r2,
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rhs,
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}
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}
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pub fn warmstart(&self, mj_lambdas: &mut [DeltaVel<Real>]) {
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let mut mj_lambda2 = DeltaVel {
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linear: Vector::from(
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array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].linear; SIMD_WIDTH],
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),
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angular: AngVector::from(
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array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].angular; SIMD_WIDTH],
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),
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};
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let lin_impulse = self.impulse.fixed_rows::<Dim>(0).into_owned();
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#[cfg(feature = "dim2")]
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let ang_impulse = self.impulse[2];
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#[cfg(feature = "dim3")]
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|
let ang_impulse = self.impulse.fixed_rows::<U3>(3).into_owned();
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|
|
|
mj_lambda2.linear -= lin_impulse * self.im2;
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|
mj_lambda2.angular -= self
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|
.ii2_sqrt
|
|
.transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
|
|
|
|
for ii in 0..SIMD_WIDTH {
|
|
mj_lambdas[self.mj_lambda2[ii] as usize].linear = mj_lambda2.linear.extract(ii);
|
|
mj_lambdas[self.mj_lambda2[ii] as usize].angular = mj_lambda2.angular.extract(ii);
|
|
}
|
|
}
|
|
|
|
pub fn solve(&mut self, mj_lambdas: &mut [DeltaVel<Real>]) {
|
|
let mut mj_lambda2: DeltaVel<SimdReal> = DeltaVel {
|
|
linear: Vector::from(
|
|
array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].linear; SIMD_WIDTH],
|
|
),
|
|
angular: AngVector::from(
|
|
array![|ii| mj_lambdas[self.mj_lambda2[ii] as usize].angular; SIMD_WIDTH],
|
|
),
|
|
};
|
|
|
|
let ang_vel2 = self.ii2_sqrt.transform_vector(mj_lambda2.angular);
|
|
let dlinvel = mj_lambda2.linear + ang_vel2.gcross(self.r2);
|
|
let dangvel = ang_vel2;
|
|
#[cfg(feature = "dim2")]
|
|
let rhs = Vector3::new(dlinvel.x, dlinvel.y, dangvel) + self.rhs;
|
|
#[cfg(feature = "dim3")]
|
|
let rhs = Vector6::new(
|
|
dlinvel.x, dlinvel.y, dlinvel.z, dangvel.x, dangvel.y, dangvel.z,
|
|
) + self.rhs;
|
|
|
|
let impulse = self.inv_lhs * rhs;
|
|
|
|
self.impulse += impulse;
|
|
let lin_impulse = impulse.fixed_rows::<Dim>(0).into_owned();
|
|
#[cfg(feature = "dim2")]
|
|
let ang_impulse = impulse[2];
|
|
#[cfg(feature = "dim3")]
|
|
let ang_impulse = impulse.fixed_rows::<U3>(3).into_owned();
|
|
|
|
mj_lambda2.linear -= lin_impulse * self.im2;
|
|
mj_lambda2.angular -= self
|
|
.ii2_sqrt
|
|
.transform_vector(ang_impulse + self.r2.gcross(lin_impulse));
|
|
|
|
for ii in 0..SIMD_WIDTH {
|
|
mj_lambdas[self.mj_lambda2[ii] as usize].linear = mj_lambda2.linear.extract(ii);
|
|
mj_lambdas[self.mj_lambda2[ii] as usize].angular = mj_lambda2.angular.extract(ii);
|
|
}
|
|
}
|
|
|
|
// FIXME: duplicated code with the non-ground constraint.
|
|
pub fn writeback_impulses(&self, joints_all: &mut [JointGraphEdge]) {
|
|
for ii in 0..SIMD_WIDTH {
|
|
let joint = &mut joints_all[self.joint_id[ii]].weight;
|
|
if let JointParams::FixedJoint(fixed) = &mut joint.params {
|
|
fixed.impulse = self.impulse.extract(ii)
|
|
}
|
|
}
|
|
}
|
|
}
|