Pyplasm: Plasm → Python Modeling with Chain Complexes Chompy: Python → Python ∪ Erlang Towards Complex Systems Simulations Geometry and Physics Modeling with Python † † ‡ A. DiCarlo A. Paoluzzi G. Scorzelli †University “Roma Tre“, Italy ‡University of Utah, USA July 3, 2010 A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python Pyplasm: Plasm → Python Modeling with Chain Complexes Chompy: Python → Python ∪ Erlang Towards Complex Systems Simulations Outline 1 Pyplasm: Plasm → Python Geometric Computing with a functional language Python Embedding Examples 2 Modeling with Chain Complexes Cell complexes vs Chain complexes The Hasse Matrix Representation 3 Chompy: Python → Python ∪ Erlang Dataflow streaming of geometry Distributed Computing via Message Passing 4 Towards Complex Systems Simulations The ProtoPlasm framework A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python Python’s elegant syntax and dynamic typing, and its interpreted nature, make it ideal for scripting and RAD We wished for easy access to Biopython, NumPy, SciPy, Femhub, and the geometry libraries already interfaced with Python The easiest solution? Pyplasm: Plasm → Python Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations Motivations for a new entry Python: multi-paradigm language with efficient built-in data structures and simple/effective approach to OO programming. A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python We wished for easy access to Biopython, NumPy, SciPy, Femhub, and the geometry libraries already interfaced with Python The easiest solution? Pyplasm: Plasm → Python Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations Motivations for a new entry Python: multi-paradigm language with efficient built-in data structures and simple/effective approach to OO programming. Python’s elegant syntax and dynamic typing, and its interpreted nature, make it ideal for scripting and RAD A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python The easiest solution? Pyplasm: Plasm → Python Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations Motivations for a new entry Python: multi-paradigm language with efficient built-in data structures and simple/effective approach to OO programming. Python’s elegant syntax and dynamic typing, and its interpreted nature, make it ideal for scripting and RAD We wished for easy access to Biopython, NumPy, SciPy, Femhub, and the geometry libraries already interfaced with Python A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations Motivations for a new entry Python: multi-paradigm language with efficient built-in data structures and simple/effective approach to OO programming. Python’s elegant syntax and dynamic typing, and its interpreted nature, make it ideal for scripting and RAD We wished for easy access to Biopython, NumPy, SciPy, Femhub, and the geometry libraries already interfaced with Python The easiest solution? Pyplasm: Plasm → Python A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python Affine maps Hierarchical structures Boolean Ops Cartesian products Minkowski sums Charts and atlases d-Skeletons, 0 ≤ d ≤ n BSP trees Convex hulls Polytopes Domain integrals of Hasse graphs polynomials Geometric operators: Domain: Hierarchical polyhedral complexes Representations: Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations PLaSM (Programming Language for Solid Modeling) Geometric extension of Backus’ FL (IBM Yorktown) (Multidimensional) Geometric Programming at Function Level Points, curves, surfaces, solids and higher-dim manifolds A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python Affine maps Hierarchical structures Boolean Ops Cartesian products Minkowski sums Charts and atlases d-Skeletons, 0 ≤ d ≤ n BSP trees Convex hulls Polytopes Domain integrals of Hasse graphs polynomials Geometric operators: Representations: Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations PLaSM (Programming Language for Solid Modeling) Geometric extension of Backus’ FL (IBM Yorktown) (Multidimensional) Geometric Programming at Function Level Points, curves, surfaces, solids and higher-dim manifolds Domain: Hierarchical polyhedral complexes A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python Affine maps Hierarchical structures Boolean Ops Cartesian products Minkowski sums Charts and atlases d-Skeletons, 0 ≤ d ≤ n Convex hulls Domain integrals of polynomials Geometric operators: BSP trees Polytopes Hasse graphs Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations PLaSM (Programming Language for Solid Modeling) Geometric extension of Backus’ FL (IBM Yorktown) (Multidimensional) Geometric Programming at Function Level Points, curves, surfaces, solids and higher-dim manifolds Domain: Hierarchical polyhedral complexes Representations: A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python Affine maps Hierarchical structures Boolean Ops Cartesian products Minkowski sums Charts and atlases d-Skeletons, 0 ≤ d ≤ n Convex hulls Domain integrals of polynomials Geometric operators: Polytopes Hasse graphs Pyplasm: Plasm → Python Geometric Computing with a functional language Modeling with Chain Complexes Python Embedding Chompy: Python → Python ∪ Erlang Examples Towards Complex Systems Simulations PLaSM (Programming Language for Solid Modeling) Geometric extension of Backus’ FL (IBM Yorktown) (Multidimensional) Geometric Programming at Function Level Points, curves, surfaces, solids and higher-dim manifolds Domain: Hierarchical polyhedral complexes Representations: BSP trees A. DiCarlo, A. Paoluzzi, G. Scorzelli Geometry and Physics Modeling with Python