Patterns

List<Vector3>, Transform3D, List<Vector3>, Transform3D -> bool

Test whether two rigid polyhedral shapes overlap by projecting their vertices onto potential separating axes.

ParticleSystemState, FilterMask, float -> ParticleSystemState

Assign randomized particle velocities drawn from a Maxwell-Boltzmann distribution matching a target temperature to a filtered subset of particles.

ForbiddenTransitionProperties -> QuenchedTransitionProperties

Select a hyperfine transition state with high nuclear spin mixing to reduce the effective lifetime of a forbidden transition and lower the required excitation laser power.

Coordinates<Atoms> -> List<VoidRegion>

Discretize large-scale atomic coordinates onto a 3D grid and cluster low-density voxels to isolate and track cavitation bubbles.

State<Atoms> + WaveParameters -> State<Atoms>

Apply a spatially or temporally periodic force field to atomic coordinates to simulate ultrasonic wave propagation.

PhysicsStepRequest -> SimulatedState

Execute physics solver iterations continuously without triggering UI draw-calls or OpenGL pipeline flushes.

FactorGraph, ExternalConstraint -> FactorGraph

Provide event callback slots during execution cycles to dynamically inject external factors or sensor priors into a factor graph.

FactorGraph, List<PointCloud> -> OptimizedTrajectory

Insert GICP registration metrics directly as analytical factors in a factor graph to minimize joint multi-scan alignment error.

Pair<PointCloud> -> Transform3D

Align 3D point clouds by voxelizing the spatial domain and calculating GICP covariances on GPU threads.

XacroConfig -> URDFModel

Compile macro-templated design variants into static Unified Robot Description Format (URDF) structures compatible with physical simulators.

LocalOdometry + GNSSCoordinate -> GeoreferencedPose

Fuse local high-frequency visual-inertial odometry with absolute global GNSS coordinates to publish a georeferenced spatial pose.

RawCommand -> SafeBoundedCommand

Apply limits and joint-boundary safety constraints to position, velocity, and acceleration commands before writing to hardware interfaces.

WheelStates -> OdometryEstimate

Compute robot linear and angular velocity (odometry) from measured wheel positions and velocities using wheel separation and radius parameters.

TrajectoryWaypoints -> JointTargets

Interpolate target joint positions, velocities, and accelerations at the current control loop timestamp using cubic or quintic splines between sparse trajectory waypoints.

SceneDescriptionXML -> ActivePhysicsWorld

Parse structured physical descriptors containing mass, boundaries, and joints to programmatically assemble a physics-enabled scene graph.

RawSensorSignals -> PerturbedSensorSignals

Apply mathematical perturbation models to synthetic sensor arrays to mimic real-world sensor imperfections.

TrappedAtoms<PositionA, StaticField> -> TrappedAtoms<PositionB, StaticField>

Translate trapped atoms spatially by moving an optical dipole trap physical focus across a constant magnetic field gradient.

AtomicEnsemble<Hot, StaticField> -> AtomicEnsemble<SubDoppler, StaticField>

Cool alkali atoms to sub-Doppler temperatures using a blue-detuned laser tuned to a closed Type-II transition within a continuous, unswitched magnetic field.

WeightedCorrelationNetwork, SourceNode, TargetNode -> List<ResiduePath>

Identify the shortest or suboptimal communication paths between distant residues using edge-weighted network pathfinding.

TrajectoryFile, TopologyFile -> WeightedCorrelationNetwork

Calculate cross-correlation matrices from molecular dynamics trajectories to construct a weighted network of amino acid residues.

QLDPCCodeState -> SurfaceCodeState

Map logical states from a high-rate qLDPC code block to localized surface code patches to execute fault-tolerant non-transversal operations.

ParityCheckMatrix -> MeasurementSchedule

Schedule physical ancilla measurements for a sparse qLDPC parity check matrix to fit within constraint-limited physical qubit connectivity.