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Principle:Google deepmind Mujoco Pipeline Architecture

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Google DeepMind MuJoCo Software Architecture 2025-02-15

Overview

Description: MuJoCo organizes its simulation computations into a staged pipeline where each stage has well-defined inputs and outputs. This staged design enables selective recomputation, caching of intermediate results, and clear dependency management.

Context: Both forward and inverse dynamics in MuJoCo follow a pipeline pattern: position-dependent computations (kinematics, collision) run first, then velocity-dependent computations (Coriolis, damping), and finally acceleration-dependent computations (constraint solving, integration). Each stage can be invoked independently when only certain quantities need updating.

Theoretical Basis

Staged computation pipelines are a common pattern in simulation engines:

  • Dependency ordering: Computations are topologically sorted by their data dependencies, ensuring each stage has all required inputs available
  • Selective recomputation: By tracking which stages are dirty, the engine avoids redundant computation when only part of the state changes
  • Cache efficiency: Processing all elements of one stage before moving to the next improves spatial and temporal locality
  • Composability: Independent stages can be replaced, extended, or skipped without affecting the rest of the pipeline

MuJoCo's pipeline stages (mj_kinematics, mj_comPos, mj_collision, mj_makeConstraint, mj_projectConstraint) form a directed acyclic graph of computations.

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