Update Programming/simulation chapter.
PiperOrigin-RevId: 847424298 Change-Id: Icc6efb05dee5e67a5813ed04caa15a5703e59aee
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@@ -89,7 +89,7 @@ Copy real-valued arrays from model to spec, returns 1 on success.
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Recompile spec to model, preserving the state. Like :ref:`mj_compile`, this function compiles an :ref:`mjSpec` to an
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:ref:`mjModel`, with two differences. First, rather than returning an entirely new model, it will
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reallocate existing :ref:`mjModel` and :ref:`mjData` instances in-place. Second, it will preserve the
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:ref:`integration state<geIntegrationState>`, as given in the provided :ref:`mjData` instance, while accounting for
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:ref:`integration state<siIntegrationState>`, as given in the provided :ref:`mjData` instance, while accounting for
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newly added or removed degrees of freedom. This allows the user to continue simulation with the same model and data
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struct pointers while editing the model programmatically.
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@@ -2753,7 +2753,7 @@ outputs of derivative functions are the trailing rather than leading arguments.
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Compute finite-differenced discrete-time transition matrices.
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Letting :math:`x, u` denote the current :ref:`state<gePhysicsState>` and :ref:`control<geInput>`
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Letting :math:`x, u` denote the current :ref:`state<siPhysicsState>` and :ref:`control<siInput>`
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vector in an mjData instance, and letting :math:`y, s` denote the next state and sensor
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values, the top-level :ref:`mj_step` function computes :math:`(x,u) \rightarrow (y,s)`
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:ref:`mjd_transitionFD` computes the four associated Jacobians using finite-differencing.
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@@ -2804,7 +2804,7 @@ These matrices and their dimensions are:
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Finite differenced continuous-time inverse-dynamics Jacobians.
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Letting :math:`x, a` denote the current :ref:`state<gePhysicsState>` and acceleration vectors in an mjData instance, and
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Letting :math:`x, a` denote the current :ref:`state<siPhysicsState>` and acceleration vectors in an mjData instance, and
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letting :math:`f, s` denote the forces computed by the inverse dynamics (``qfrc_inverse``), the function
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:ref:`mj_inverse` computes :math:`(x,a) \rightarrow (f,s)`. :ref:`mjd_inverseFD` computes seven associated Jacobians
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using finite-differencing. These matrices and their dimensions are:
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@@ -48,7 +48,7 @@ If compilation fails, :ref:`mj_compile` returns ``NULL``; the error can be read
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Recompile spec to model, preserving the state. Like :ref:`mj_compile`, this function compiles an :ref:`mjSpec` to an
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:ref:`mjModel`, with two differences. First, rather than returning an entirely new model, it will
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reallocate existing :ref:`mjModel` and :ref:`mjData` instances in-place. Second, it will preserve the
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:ref:`integration state<geIntegrationState>`, as given in the provided :ref:`mjData` instance, while accounting for
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:ref:`integration state<siIntegrationState>`, as given in the provided :ref:`mjData` instance, while accounting for
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newly added or removed degrees of freedom. This allows the user to continue simulation with the same model and data
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struct pointers while editing the model programmatically.
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@@ -643,7 +643,7 @@ outputs of derivative functions are the trailing rather than leading arguments.
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Compute finite-differenced discrete-time transition matrices.
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Letting :math:`x, u` denote the current :ref:`state<gePhysicsState>` and :ref:`control<geInput>`
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Letting :math:`x, u` denote the current :ref:`state<siPhysicsState>` and :ref:`control<siInput>`
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vector in an mjData instance, and letting :math:`y, s` denote the next state and sensor
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values, the top-level :ref:`mj_step` function computes :math:`(x,u) \rightarrow (y,s)`
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:ref:`mjd_transitionFD` computes the four associated Jacobians using finite-differencing.
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@@ -689,7 +689,7 @@ These matrices and their dimensions are:
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Finite differenced continuous-time inverse-dynamics Jacobians.
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Letting :math:`x, a` denote the current :ref:`state<gePhysicsState>` and acceleration vectors in an mjData instance, and
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Letting :math:`x, a` denote the current :ref:`state<siPhysicsState>` and acceleration vectors in an mjData instance, and
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letting :math:`f, s` denote the forces computed by the inverse dynamics (``qfrc_inverse``), the function
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:ref:`mj_inverse` computes :math:`(x,a) \rightarrow (f,s)`. :ref:`mjd_inverseFD` computes seven associated Jacobians
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using finite-differencing. These matrices and their dimensions are:
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