[core][math] Add Lie-group utilities, SimulationContext & multi-controller architecture, SO(3) helpers, and simulation engine refactor#1
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…ter-controller interfaces, debugging tools, and sanity checks
… reference fixed values, improve sanity checks in robot initialization
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This PR introduces a set of features and refactors aimed at enabling Lie-group (SO(3)) utilities, a new SimulationContext for composing robot models and multiple controllers, controller interfaces, an improved SimulationEngine and integrators, robust data logging, and a number of smaller utilities and API improvements. Key goals are modularity for multi-controller simulations, safe data tracking/logging, and correct handling of 3D rotations via lie tools with numerically stable exp/log maps.
Changes
SimulationContextfor multi-controller orchestration and unified interfaces.SimulationEngineto integrate with the newSimulationContext.ControllerandRobotModelwith safety checks and standardized data tracking.lie.pyproviding SO(3) exponential/log maps and rotation utilities.Unicycle2D, oscillator controller) for compatibility.