{
    "info": {
        "author": "Jason K. Moore",
        "author_email": "moorepants@gmail.com",
        "bugtrack_url": null,
        "classifiers": [
            "Development Status :: 3 - Alpha",
            "Intended Audience :: Science/Research",
            "Operating System :: OS Independent",
            "Programming Language :: Python :: 2.7",
            "Topic :: Scientific/Engineering :: Physics"
        ],
        "description": "PyDy Code Generation\n====================\n\nThis distribution provides code generation facilities for PyDy_. For now, it\ngenerates functions that can evaluate the right hand side of the ordinary\ndifferential equations generated with sympy.physics.mechanics_ with three\ndifferent backends: SymPy's lambdify_, Theano_, and Cython_.\n\n.. _PyDy: http://pydy.org\n.. _sympy.physics.mechanics: http://docs.sympy.org/latest/modules/physics/mechanics\n.. _lambdify: http://docs.sympy.org/latest/modules/utilities/lambdify.html#sympy.utilities.lambdify.lambdify\n.. _Theano: http://deeplearning.net/software/theano/\n.. _Cython: http://cython.org/\n\nDependencies\n============\n\nRequired\n--------\n\n- Python: 2.7 (Python 3+ may work)\n- setuptools\n- NumPy: >=1.6.1\n- SymPy: >=0.7.3\n\nOptional\n--------\n\n- Cython: >=0.15.1\n- Theano: >=0.6.0\n- SciPy: >=0.9 (only for full examples)\n- matplotlib: >=0.99 (only for full examples)\n\nThere are a variety of methods to install these packages. Refer to the SciPy\nStack installation instructions for details.\n\nInstallation\n============\n\nOnce the dependencies are installed, the package can be installed from PyPi\nusing::\n\n   $ easy_install pydy-code-gen\n\nor::\n\n   $ pip install pydy-code-gen\n\nYou can also grab the source and then install\\ [#]_.\n\nUsing the zip download::\n\n   $ wget https://github.com/PythonDynamics/pydy-code-gen/archive/master.zip\n   $ unzip pydy-code-gen-master.zip\n   $ cd pydy-code-gen-master\n   $ python setup.py install\n\nUsing Git::\n\n   $ git clone https://github.com/PythonDynamics/pydy-code-gen.git\n   $ cd pydy-code-gen\n   $ python setup.py install\n\n.. [#] Note that this is the latest development version. Specific releases\n   can be found here: https://github.com/PythonDynamics/pydy-code-gen/releases\n   or by checking out a tag with Git.\n\nUsage\n=====\n\nThis is an example of a simple 1 degree of freedom system: a mass, spring,\ndamper system under the influence of gravity and a force::\n\n\n   / / / / / / / / /\n   -----------------\n     |    |     |   | g\n     \\   | |    |   V\n   k /   --- c  |\n     |    |     | x, v\n    --------    V\n    |  m   | -----\n    --------\n       | F\n       V\n\nDerive the system::\n\n   from sympy import symbols\n   import sympy.physics.mechanics as me\n\n   mass, stiffness, damping, gravity = symbols('m, k, c, g')\n\n   position, speed = me.dynamicsymbols('x v')\n   positiond = me.dynamicsymbols('x', 1)\n   force = me.dynamicsymbols('F')\n\n   ceiling = me.ReferenceFrame('N')\n\n   origin = me.Point('origin')\n   origin.set_vel(ceiling, 0)\n\n   center = origin.locatenew('center', position * ceiling.x)\n   center.set_vel(ceiling, speed * ceiling.x)\n\n   block = me.Particle('block', center, mass)\n\n   kinematic_equations = [speed - positiond]\n\n   force_magnitude = mass * gravity - stiffness * position - damping * speed + force\n   forces = [(center, force_magnitude * ceiling.x)]\n\n   particles = [block]\n\n   kane = me.KanesMethod(ceiling, q_ind=[position], u_ind=[speed],\n                        kd_eqs=kinematic_equations)\n   kane.kanes_equations(forces, particles)\n\nStore the expressions and symbols in sequences for the code generation::\n\n   mass_matrix = kane.mass_matrix_full\n   forcing_vector = kane.forcing_full\n   constants = (mass, stiffness, damping, gravity)\n   coordinates = (position,)\n   speeds = (speed,)\n   specified = (force,)\n\nNow generate the function needed for numerical evaluation of the ODEs. The\ngenerator can use various back ends: ``lambdify``, ``theano``, or ``cython``::\n\n   from pydy_code_gen.code import generate_ode_function\n\n   evaluate_ode = generate_ode_function(mass_matrix, forcing_vector, constants,\n                                        coordinates, speeds, specified,\n                                        generator='lambdify')\n\nIntegrate the equations of motion under the influence of a specified sinusoidal\nforce::\n\n   from numpy import array, linspace, sin\n   from scipy.integrate import odeint\n\n   x0 = array([0.1, -1.0])\n   args = {'constants': array([1.0, 1.0, 0.2, 9.8]),\n           'specified': lambda x, t: sin(t)}\n   t = linspace(0.0, 10.0, 1000)\n\n   y = odeint(evaluate_ode, x0, t, args=(args,))\n\nPlot the results::\n\n   import matplotlib.pyplot as plt\n\n   plt.plot(t, y)\n   plt.legend((str(position), str(speed)))\n   plt.show()\n\nDevelopment Environment\n=======================\n\nDevelopment Dependencies\n------------------------\n\n- nose: 1.3.0\n\nInstallation\n------------\n\nThe following installation assumes you have virtualenvwrapper_ and all the\ndependencies needed to build the packages::\n\n   $ mkvirtualenv pydy-dev\n   (pydy-dev)$ pip install numpy scipy cython nose theano sympy\n   (pydy-dev)$ pip install matplotlib # make sure to do this after numpy\n   (pydy-dev)$ git clone git@github.com:PythonDynamics/pydy-code-gen.git\n   (pydy-dev)$ cd pydy-code-gen\n   (pydy-dev)$ python setup.py develop\n\n.. _virtualenvwrapper: https://pypi.python.org/pypi/virtualenvwrappe://pypi.python.org/pypi/virtualenvwrapper\n\nRun the tests::\n\n   (pydy-dev)$ nosetests\n\nRun the benchmark to test the n-link pendulum problem.::\n\n   (pydy-dev)$ python bin/benchmark_pydy_code_gen.py <max # of links> <# of time steps>\n\nRelease Notes\n=============\n\n0.1.0\n-----\n\n- Initial version.",
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        "keywords": "dynamics multibody simulation code generation",
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