Files
Mujoco_WASM/python
Alessio 55d13aec5f Replace the flex metric factorization with a block preconditioner
Every step, the flex block of the implicit effective metric M + K was
factorized by sparse Cholesky, because K depends on the configuration. On
model/flex/bag.xml, added here, that is roughly half the step, against a
comparable share for the constraint solve it exists to accelerate.

Keep only the metric's per-vertex 3x3 diagonal blocks, prefactored. Neither
consumer needs the exact inverse: the CG constraint solver only wants a
preconditioner, and qacc_smooth can come from an iterative solve using those
blocks. They are O(n) to build and to apply, but weaker, so CG runs about twice
the iterations and qacc_smooth becomes an iteration rather than a direct solve.
Net, the bag model steps roughly twice as fast.

The preconditioner, by metric state. Inactive, meaning no flex elasticity or an
explicit integrator: M^-1, unchanged. Bending only (nefmK == 0): M^-1 plus the
exact constant bending factor from mj_setConst on the dofs it covers,
unchanged; that factor is built at model compile time and costs nothing per
step. Per-step stiffness: M^-1 plus the 3x3 blocks, where before it was a
per-step sparse Cholesky, or, when M couples across the flex block, an inner
PCG of up to 50 iterations run once per outer CG iteration.

Only models carrying per-step stretch stiffness change in wall-clock. Both
ponchos hold their timing and take slightly fewer CG iterations than before,
because the preconditioner is now symmetric: it applies M^-1 and the covered
blocks to disjoint sets of dofs, where previously the two overlapped and the
operator was not symmetric, which PCG requires.

mjd_effSolve is the accurate solve of (M + K)x = b; what used to carry that
name only preconditions and is now mjd_effPrec. Its CG guarded the division by
pAp with mjMINVAL, an absolute floor on a quantity that scales with the square
of the right-hand side, so a small b aborted the solve while the curvature was
healthy: four flex models were quietly left short of tolerance. For an SPD
metric the guard is positivity, and with that the same solves converge. The qacc_smooth call site in
mj_fwdAcceleration is textually unchanged but now reaches the iterative solve,
which converges on opt.tolerance rather than a hardcoded threshold, floored in
mjUSESINGLE builds where the squared target is unreachable in float. Reaching
the iteration cap names the ill-conditioned flex stiffness and then reports it
through mjWARN_INERTIA, rather than returning an under-converged result.
Covered dofs are located by walking the covered rows of the stiffness matrix,
as they need not be 3-aligned from dof 0: any joint declared before a flexcomp
shifts them.

mjData.efm_L_rownnz, efm_L_rowadr and efm_L_colind described the sparsity of
the deleted factorization and are removed: left NULL with nonzero mjxmacro
extents they made the Python bindings hand back uninitialized arrays.
efm_active loses the value 2 for the same reason, nothing selects a solve path
on preconditioner exactness any more. Both are recorded under breaking changes.

model/flex/bag.xml is added because no shipped model carried per-step stretch
stiffness. The ponchos are bending-only and trampoline.xml uses an explicit
integrator, so the metric never activates there. It is excluded from
WriteReadCompareTest: stretch stiffness amplifies rest geometry that XML rounds
on save.
2026-07-29 14:36:15 +01:00
..
2024-07-01 12:05:50 -07:00

MuJoCo Python Bindings

PyPI Python Version PyPI version

This package is the canonical Python bindings for the MuJoCo physics engine. These bindings are developed and maintained by Google DeepMind, and is kept up-to-date with the latest developments in MuJoCo itself.

The mujoco package provides direct access to raw MuJoCo C API functions, structs, constants, and enumerations. Structs are provided as Python classes, with Pythonic initialization and deletion semantics.

It is not the aim of this package to provide fully fledged scene/environment/game authoring API, as there are already a number of existing packages that do this well. However, this package does provide a number of lower-level components outside of MuJoCo itself that are likely to be useful to most users who access MuJoCo through Python. For example, the egl, glfw, and osmesa subpackages contain utilities for setting up OpenGL rendering contexts.

Installation

The recommended way to install this package is via PyPI:

pip install mujoco

A copy of the MuJoCo library is provided as part of the package and does not need to be downloaded or installed separately.

Source

IMPORTANT: Building from source is only necessary if you are modifying the Python bindings (or are trying to run on exceptionally old Linux systems). If that's not the case, then we recommend installing the prebuilt binaries from PyPI.

If you need to build the Python bindings from source, please consult the documentation.

Usage

Once installed, the package can be imported via import mujoco. Please consult our documentation for further detail on the package's API.

We recommend going through the tutorial notebook which covers the basics of MuJoCo using Python: Open In Colab

Versioning

The major.minor.micro portion of the version number matches the version of MuJoCo that the bindings provide. Optionally, if we release updates to the Python bindings themselves that target the same version of MuJoCo, a .postN suffix is added, for example 2.1.2.post2 represents the second update to the bindings for MuJoCo 2.1.2.

License and Disclaimer

Copyright 2022 DeepMind Technologies Limited

MuJoCo and its Python bindings are licensed under the Apache License, Version 2.0. You may obtain a copy of the License at https://www.apache.org/licenses/LICENSE-2.0.

This is not an officially supported Google product.