feat: implement new "small-steps" solver + joint improvements

This commit is contained in:
Sébastien Crozet
2024-01-21 21:02:23 +01:00
parent 9ac3503b87
commit 9b87f06a85
76 changed files with 6672 additions and 4305 deletions

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use super::{TwoBodyConstraintElement, TwoBodyConstraintNormalPart};
use crate::dynamics::solver::solver_body::SolverBody;
use crate::dynamics::solver::{ContactPointInfos, SolverVel};
use crate::dynamics::{
IntegrationParameters, MultibodyJointSet, RigidBodyIds, RigidBodyMassProps, RigidBodySet,
RigidBodyVelocity,
};
use crate::geometry::{ContactManifold, ContactManifoldIndex};
use crate::math::{
AngVector, AngularInertia, Isometry, Point, Real, SimdReal, Vector, DIM, MAX_MANIFOLD_POINTS,
SIMD_WIDTH,
};
#[cfg(feature = "dim2")]
use crate::utils::SimdBasis;
use crate::utils::{self, SimdAngularInertia, SimdCross, SimdDot};
use num::Zero;
use parry::math::SimdBool;
use simba::simd::{SimdPartialOrd, SimdValue};
#[derive(Copy, Clone, Debug)]
pub(crate) struct TwoBodyConstraintBuilderSimd {
infos: [super::ContactPointInfos<SimdReal>; MAX_MANIFOLD_POINTS],
}
impl TwoBodyConstraintBuilderSimd {
pub fn generate(
manifold_id: [ContactManifoldIndex; SIMD_WIDTH],
manifolds: [&ContactManifold; SIMD_WIDTH],
bodies: &RigidBodySet,
out_builders: &mut [TwoBodyConstraintBuilderSimd],
out_constraints: &mut [TwoBodyConstraintSimd],
) {
for ii in 0..SIMD_WIDTH {
assert_eq!(manifolds[ii].data.relative_dominance, 0);
}
let handles1 = gather![|ii| manifolds[ii].data.rigid_body1.unwrap()];
let handles2 = gather![|ii| manifolds[ii].data.rigid_body2.unwrap()];
let vels1: [&RigidBodyVelocity; SIMD_WIDTH] = gather![|ii| &bodies[handles1[ii]].vels];
let vels2: [&RigidBodyVelocity; SIMD_WIDTH] = gather![|ii| &bodies[handles2[ii]].vels];
let ids1: [&RigidBodyIds; SIMD_WIDTH] = gather![|ii| &bodies[handles1[ii]].ids];
let ids2: [&RigidBodyIds; SIMD_WIDTH] = gather![|ii| &bodies[handles2[ii]].ids];
let mprops1: [&RigidBodyMassProps; SIMD_WIDTH] = gather![|ii| &bodies[handles1[ii]].mprops];
let mprops2: [&RigidBodyMassProps; SIMD_WIDTH] = gather![|ii| &bodies[handles2[ii]].mprops];
let poss1 = Isometry::from(gather![|ii| bodies[handles1[ii]].pos.position]);
let poss2 = Isometry::from(gather![|ii| bodies[handles2[ii]].pos.position]);
let world_com1 = Point::from(gather![|ii| mprops1[ii].world_com]);
let im1 = Vector::from(gather![|ii| mprops1[ii].effective_inv_mass]);
let ii1: AngularInertia<SimdReal> =
AngularInertia::from(gather![|ii| mprops1[ii].effective_world_inv_inertia_sqrt]);
let linvel1 = Vector::from(gather![|ii| vels1[ii].linvel]);
let angvel1 = AngVector::<SimdReal>::from(gather![|ii| vels1[ii].angvel]);
let world_com2 = Point::from(gather![|ii| mprops2[ii].world_com]);
let im2 = Vector::from(gather![|ii| mprops2[ii].effective_inv_mass]);
let ii2: AngularInertia<SimdReal> =
AngularInertia::from(gather![|ii| mprops2[ii].effective_world_inv_inertia_sqrt]);
let linvel2 = Vector::from(gather![|ii| vels2[ii].linvel]);
let angvel2 = AngVector::<SimdReal>::from(gather![|ii| vels2[ii].angvel]);
let force_dir1 = -Vector::from(gather![|ii| manifolds[ii].data.normal]);
let solver_vel1 = gather![|ii| ids1[ii].active_set_offset];
let solver_vel2 = gather![|ii| ids2[ii].active_set_offset];
let num_active_contacts = manifolds[0].data.num_active_contacts();
#[cfg(feature = "dim2")]
let tangents1 = force_dir1.orthonormal_basis();
#[cfg(feature = "dim3")]
let tangents1 = super::compute_tangent_contact_directions(&force_dir1, &linvel1, &linvel2);
for l in (0..num_active_contacts).step_by(MAX_MANIFOLD_POINTS) {
let manifold_points =
gather![|ii| &manifolds[ii].data.solver_contacts[l..num_active_contacts]];
let num_points = manifold_points[0].len().min(MAX_MANIFOLD_POINTS);
let constraint = &mut out_constraints[l / MAX_MANIFOLD_POINTS];
let builder = &mut out_builders[l / MAX_MANIFOLD_POINTS];
constraint.dir1 = force_dir1;
constraint.im1 = im1;
constraint.im2 = im2;
constraint.solver_vel1 = solver_vel1;
constraint.solver_vel2 = solver_vel2;
constraint.manifold_id = manifold_id;
constraint.num_contacts = num_points as u8;
#[cfg(feature = "dim3")]
{
constraint.tangent1 = tangents1[0];
}
for k in 0..num_points {
let friction = SimdReal::from(gather![|ii| manifold_points[ii][k].friction]);
let restitution = SimdReal::from(gather![|ii| manifold_points[ii][k].restitution]);
let is_bouncy = SimdReal::from(gather![
|ii| manifold_points[ii][k].is_bouncy() as u32 as Real
]);
let dist = SimdReal::from(gather![|ii| manifold_points[ii][k].dist]);
let point = Point::from(gather![|ii| manifold_points[ii][k].point]);
let tangent_velocity =
Vector::from(gather![|ii| manifold_points[ii][k].tangent_velocity]);
let dp1 = point - world_com1;
let dp2 = point - world_com2;
let vel1 = linvel1 + angvel1.gcross(dp1);
let vel2 = linvel2 + angvel2.gcross(dp2);
constraint.limit = friction;
constraint.manifold_contact_id[k] = gather![|ii| manifold_points[ii][k].contact_id];
// Normal part.
let normal_rhs_wo_bias;
{
let gcross1 = ii1.transform_vector(dp1.gcross(force_dir1));
let gcross2 = ii2.transform_vector(dp2.gcross(-force_dir1));
let imsum = im1 + im2;
let projected_mass = utils::simd_inv(
force_dir1.dot(&imsum.component_mul(&force_dir1))
+ gcross1.gdot(gcross1)
+ gcross2.gdot(gcross2),
);
let projected_velocity = (vel1 - vel2).dot(&force_dir1);
normal_rhs_wo_bias = is_bouncy * restitution * projected_velocity;
constraint.elements[k].normal_part = TwoBodyConstraintNormalPart {
gcross1,
gcross2,
rhs: na::zero(),
rhs_wo_bias: na::zero(),
impulse: SimdReal::splat(0.0),
total_impulse: SimdReal::splat(0.0),
r: projected_mass,
};
}
// tangent parts.
constraint.elements[k].tangent_part.impulse = na::zero();
for j in 0..DIM - 1 {
let gcross1 = ii1.transform_vector(dp1.gcross(tangents1[j]));
let gcross2 = ii2.transform_vector(dp2.gcross(-tangents1[j]));
let imsum = im1 + im2;
let r = tangents1[j].dot(&imsum.component_mul(&tangents1[j]))
+ gcross1.gdot(gcross1)
+ gcross2.gdot(gcross2);
let rhs_wo_bias = tangent_velocity.dot(&tangents1[j]);
constraint.elements[k].tangent_part.gcross1[j] = gcross1;
constraint.elements[k].tangent_part.gcross2[j] = gcross2;
constraint.elements[k].tangent_part.rhs_wo_bias[j] = rhs_wo_bias;
constraint.elements[k].tangent_part.rhs[j] = rhs_wo_bias;
constraint.elements[k].tangent_part.r[j] = if cfg!(feature = "dim2") {
utils::simd_inv(r)
} else {
r
};
}
#[cfg(feature = "dim3")]
{
constraint.elements[k].tangent_part.r[2] = SimdReal::splat(2.0)
* (constraint.elements[k].tangent_part.gcross1[0]
.gdot(constraint.elements[k].tangent_part.gcross1[1])
+ constraint.elements[k].tangent_part.gcross2[0]
.gdot(constraint.elements[k].tangent_part.gcross2[1]));
}
// Builder.
let infos = ContactPointInfos {
local_p1: poss1.inverse_transform_point(&point),
local_p2: poss2.inverse_transform_point(&point),
tangent_vel: tangent_velocity,
dist,
normal_rhs_wo_bias,
};
builder.infos[k] = infos;
}
}
}
pub fn update(
&self,
params: &IntegrationParameters,
solved_dt: Real,
bodies: &[SolverBody],
_multibodies: &MultibodyJointSet,
constraint: &mut TwoBodyConstraintSimd,
) {
let cfm_factor = SimdReal::splat(params.cfm_factor());
let dt = SimdReal::splat(params.dt);
let inv_dt = SimdReal::splat(params.inv_dt());
let allowed_lin_err = SimdReal::splat(params.allowed_linear_error);
let erp_inv_dt = SimdReal::splat(params.erp_inv_dt());
let max_penetration_correction = SimdReal::splat(params.max_penetration_correction);
let rb1 = gather![|ii| &bodies[constraint.solver_vel1[ii]]];
let rb2 = gather![|ii| &bodies[constraint.solver_vel2[ii]]];
let ccd_thickness = SimdReal::from(gather![|ii| rb1[ii].ccd_thickness])
+ SimdReal::from(gather![|ii| rb2[ii].ccd_thickness]);
let poss1 = Isometry::from(gather![|ii| rb1[ii].position]);
let poss2 = Isometry::from(gather![|ii| rb2[ii].position]);
let all_infos = &self.infos[..constraint.num_contacts as usize];
let all_elements = &mut constraint.elements[..constraint.num_contacts as usize];
#[cfg(feature = "dim2")]
let tangents1 = constraint.dir1.orthonormal_basis();
#[cfg(feature = "dim3")]
let tangents1 = [
constraint.tangent1,
constraint.dir1.cross(&constraint.tangent1),
];
let mut is_fast_contact = SimdBool::splat(false);
let solved_dt = SimdReal::splat(solved_dt);
for (info, element) in all_infos.iter().zip(all_elements.iter_mut()) {
// NOTE: the tangent velocity is equivalent to an additional movement of the first bodys surface.
let p1 = poss1 * info.local_p1 + info.tangent_vel * solved_dt;
let p2 = poss2 * info.local_p2;
let dist = info.dist + (p1 - p2).dot(&constraint.dir1);
// Normal part.
{
let rhs_wo_bias =
info.normal_rhs_wo_bias + dist.simd_max(SimdReal::zero()) * inv_dt;
let rhs_bias = (dist + allowed_lin_err)
.simd_clamp(-max_penetration_correction, SimdReal::zero())
* erp_inv_dt;
let new_rhs = rhs_wo_bias + rhs_bias;
let total_impulse = element.normal_part.total_impulse + element.normal_part.impulse;
is_fast_contact =
is_fast_contact | (-new_rhs * dt).simd_gt(ccd_thickness * SimdReal::splat(0.5));
element.normal_part.rhs_wo_bias = rhs_wo_bias;
element.normal_part.rhs = new_rhs;
element.normal_part.total_impulse = total_impulse;
element.normal_part.impulse = na::zero();
}
// tangent parts.
{
element.tangent_part.total_impulse += element.tangent_part.impulse;
element.tangent_part.impulse = na::zero();
for j in 0..DIM - 1 {
let bias = (p1 - p2).dot(&tangents1[j]) * inv_dt;
element.tangent_part.rhs[j] = element.tangent_part.rhs_wo_bias[j] + bias;
}
}
}
constraint.cfm_factor = SimdReal::splat(1.0).select(is_fast_contact, cfm_factor);
}
}
#[derive(Copy, Clone, Debug)]
pub(crate) struct TwoBodyConstraintSimd {
pub dir1: Vector<SimdReal>, // Non-penetration force direction for the first body.
#[cfg(feature = "dim3")]
pub tangent1: Vector<SimdReal>, // One of the friction force directions.
pub elements: [TwoBodyConstraintElement<SimdReal>; MAX_MANIFOLD_POINTS],
pub num_contacts: u8,
pub im1: Vector<SimdReal>,
pub im2: Vector<SimdReal>,
pub cfm_factor: SimdReal,
pub limit: SimdReal,
pub solver_vel1: [usize; SIMD_WIDTH],
pub solver_vel2: [usize; SIMD_WIDTH],
pub manifold_id: [ContactManifoldIndex; SIMD_WIDTH],
pub manifold_contact_id: [[u8; SIMD_WIDTH]; MAX_MANIFOLD_POINTS],
}
impl TwoBodyConstraintSimd {
pub fn solve(
&mut self,
solver_vels: &mut [SolverVel<Real>],
solve_normal: bool,
solve_friction: bool,
) {
let mut solver_vel1 = SolverVel {
linear: Vector::from(gather![
|ii| solver_vels[self.solver_vel1[ii] as usize].linear
]),
angular: AngVector::from(gather![
|ii| solver_vels[self.solver_vel1[ii] as usize].angular
]),
};
let mut solver_vel2 = SolverVel {
linear: Vector::from(gather![
|ii| solver_vels[self.solver_vel2[ii] as usize].linear
]),
angular: AngVector::from(gather![
|ii| solver_vels[self.solver_vel2[ii] as usize].angular
]),
};
TwoBodyConstraintElement::solve_group(
self.cfm_factor,
&mut self.elements[..self.num_contacts as usize],
&self.dir1,
#[cfg(feature = "dim3")]
&self.tangent1,
&self.im1,
&self.im2,
self.limit,
&mut solver_vel1,
&mut solver_vel2,
solve_normal,
solve_friction,
);
for ii in 0..SIMD_WIDTH {
solver_vels[self.solver_vel1[ii] as usize].linear = solver_vel1.linear.extract(ii);
solver_vels[self.solver_vel1[ii] as usize].angular = solver_vel1.angular.extract(ii);
}
for ii in 0..SIMD_WIDTH {
solver_vels[self.solver_vel2[ii] as usize].linear = solver_vel2.linear.extract(ii);
solver_vels[self.solver_vel2[ii] as usize].angular = solver_vel2.angular.extract(ii);
}
}
pub fn writeback_impulses(&self, manifolds_all: &mut [&mut ContactManifold]) {
for k in 0..self.num_contacts as usize {
let impulses: [_; SIMD_WIDTH] = self.elements[k].normal_part.impulse.into();
#[cfg(feature = "dim2")]
let tangent_impulses: [_; SIMD_WIDTH] = self.elements[k].tangent_part.impulse[0].into();
#[cfg(feature = "dim3")]
let tangent_impulses = self.elements[k].tangent_part.impulse;
for ii in 0..SIMD_WIDTH {
let manifold = &mut manifolds_all[self.manifold_id[ii]];
let contact_id = self.manifold_contact_id[k][ii];
let active_contact = &mut manifold.points[contact_id as usize];
active_contact.data.impulse = impulses[ii];
#[cfg(feature = "dim2")]
{
active_contact.data.tangent_impulse = tangent_impulses[ii];
}
#[cfg(feature = "dim3")]
{
active_contact.data.tangent_impulse = tangent_impulses.extract(ii);
}
}
}
}
pub fn remove_cfm_and_bias_from_rhs(&mut self) {
self.cfm_factor = SimdReal::splat(1.0);
for elt in &mut self.elements {
elt.normal_part.rhs = elt.normal_part.rhs_wo_bias;
elt.tangent_part.rhs = elt.tangent_part.rhs_wo_bias;
}
}
}