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4 changes: 4 additions & 0 deletions .buildinfo
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20 changes: 20 additions & 0 deletions _sources/developer-notes.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/developer-notes.rst

***************
Developer notes
***************

This section documents internal functions and other notes shared between contributors to this project.

Design guidelines
=================

* Pink is designed for clarity before performance
* Leaky abstractions are our enemy
* WIP

Internal functions
==================

.. automodule:: pink.tasks.utils
:members:
29 changes: 29 additions & 0 deletions _sources/index.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/index.rst

.. title:: Table of Contents

####
Pink
####

.. image:: images/pink-round-corners-140x140.png
:height: 140px
:alt: alternate text
:align: right

**P**\ ython **in**\ verse **k**\ inematics for articulated robot models, based on `Pinocchio <https://github.com/stack-of-tasks/pinocchio>`_.

Inverse kinematics in Pink is defined by weighted :ref:`tasks <Tasks>` and :ref:`limits <Limits>`. The library adds a :ref:`configuration <Configuration>` type to Pinocchio, a configuration being a robot model and data to which forward kinematics have been applied. Given a configuration, tasks and a time step, :func:`pink.solve_ik.solve_ik` computes joint velocities that steer the model towards fulfilling all tasks at best.

.. toctree::
:maxdepth: 1

installation.rst
introduction.rst
tasks.rst
limits.rst
inverse-kinematics.rst
developer-notes.rst
references.rst

You can also download this documentation as a `PDF document <pink.pdf>`_.
30 changes: 30 additions & 0 deletions _sources/installation.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/installation.rst

************
Installation
************

From PyPI
=========

Installation from the Python Package Index should work via:

.. code:: bash
pip install pin-pink
From source
===========

If installation from PyPI doesn't work, for instance on Raspberry Pi, install the following dependencies from source:

- `eigenpy <https://github.com/stack-of-tasks/eigenpy>`__ (required by Pinocchio)
- `pinocchio <https://github.com/stack-of-tasks/pinocchio>`__

Then install Pink by:

.. code:: bash
pip install --no-deps pin-pink
Or by copying its source directory somewhere in your ``PYTHONPATH``.
56 changes: 56 additions & 0 deletions _sources/introduction.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/introduction.rst

************
Introduction
************

Inverse kinematics (IK) is the problem of computing *motions* (in Pink: velocities) that achieve a given set of *tasks*, such as putting a foot on a surface, moving the center of mass to a target location, etc.

This documentation assumes you are already familiar with task-based inverse kinematics. You can check out for instance this `note on inverse kinematics <https://scaron.info/robot-locomotion/inverse-kinematics.html>`__ for a general introduction.

Notations
=========

In Pink, we adopt the subscript right-to-left convention for transforms, and superscript notation to indicate the frame of a motion or force vector:

.. list-table::
:class: cheatsheet
:widths: 70 30

* - Quantity
- Notation
* - Affine transform from frame :math:`A` to frame :math:`B`
- :math:`T_{BA}`
* - Body angular velocity of frame :math:`A` in frame :math:`B`
- :math:`{}^A \omega_{BA}`
* - Plücker transform from frame :math:`A` to frame :math:`B`
- :math:`X_{BA}`
* - Position of frame :math:`B` in frame :math:`A`
- :math:`{}^A p_B`
* - Rotation matrix from frame :math:`A` to frame :math:`B`
- :math:`R_{BA}`
* - Spatial angular velocity of frame :math:`A` in frame :math:`B`
- :math:`{}^B \omega_{BA}`
* - World frame (inertial)
- :math:`W`

With these notations frame transforms can be read left to right, for example:

.. raw:: latex html

\begin{align}
X_{CA} & = X_{CB} X_{BA} &
{}^{B} \omega & = R_{BA} {}^{A} \omega &
{}^B p_C & = R_{BA} {}^A p_C + {}^B p_A
\end{align}

See also this `spatial algebra cheat sheet
<https://scaron.info/robot-locomotion/spatial-vector-algebra-cheat-sheet.html>`_.

.. _Configuration:

Configuration
=============

.. automodule:: pink.configuration
:members:
26 changes: 26 additions & 0 deletions _sources/inverse-kinematics.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/inverse-kinematics.rst

******************
Inverse kinematics
******************

The main function solve inverse kinematics is :func:`.solve_ik`. Here is for
instance how it appears in a closed-loop inverse kinematics:

.. code:: python
rate = RateLimiter(frequency=100.0)
while True:
# [...] <- update task targets here
velocity = solve_ik(configuration, tasks, rate.dt, solver=solver)
configuration.integrate_inplace(velocity, rate.dt)
rate.sleep()
See the ``examples/`` folder in the repository for complete use cases.

.. autofunction:: pink.solve_ik.solve_ik

It is also possible to ask Pink to only build the underlying inverse kinematics
problem via the :func:`.build_ik` function:

.. autofunction:: pink.solve_ik.build_ik
22 changes: 22 additions & 0 deletions _sources/limits.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/limits.rst

.. _Limits:

******
Limits
******

.. automodule:: pink.limits
:members:

Configuration limits
====================

.. automodule:: pink.limits.configuration_limit
:members:

Velocity limits
===============

.. automodule:: pink.limits.velocity_limit
:members:
11 changes: 11 additions & 0 deletions _sources/references.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/references.rst

**********
References
**********

.. [FrameTaskJacobian] `Jacobian of a kinematic task and derivatives on manifolds <https://scaron.info/robotics/jacobian-of-a-kinematic-task-and-derivatives-on-manifolds.html>`_. S. Caron. 2023.
.. [MLT] `A micro Lie theory for state estimation in robotics <https://arxiv.org/abs/1812.01537>`_. J. Solà, J. Deray, D. Atchuthan. 2018.
.. [Sugihara2011] *Solvability-Unconcerned Inverse Kinematics by the Levenberg-Marquardt Method*. T. Sugihara. IEEE transactions on robotics, 2011, vol. 27, no 5, p. 984-991.
37 changes: 37 additions & 0 deletions _sources/tasks.rst.txt
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:github_url: https://github.com/stephane-caron/pink/tree/main/doc/src/tasks.rst

.. _Tasks:

*****
Tasks
*****

Base task
=========

.. automodule:: pink.tasks.task
:members:

Body task
=========

.. automodule:: pink.tasks.frame_task
:members:

Joint coupling task
===================

.. automodule:: pink.tasks.joint_coupling_task
:members:

Linear holonomic task
=====================

.. automodule:: pink.tasks.linear_holonomic_task
:members:

Posture task
============

.. automodule:: pink.tasks.posture_task
:members:
123 changes: 123 additions & 0 deletions _static/_sphinx_javascript_frameworks_compat.js
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