package jcliffford

Package jclifford

This package provides for Clifford algebra operations.

See:
          Description

Class Summary
Blade This class represents a blade (wedge product of generic basis vectors).
BladeBitSet This class represents a BitSet implementation of a blade (wedge product of generic basis versors).
BladeTreeSet This class represents a TreeSet implementation of a blade (wedge product of generic basis versors).
Clifford This class represents a Clifford element and all the operation in a signed space.
CliffordBitSet This class represents a BitSet - value map implementation of the Clifford element and all the operation in an arbitrary dimension space.
CliffordTreeSet This class represents a TreeSet - value map implementation of the Clifford element and all the operation in an arbitrary dimension space.
Homogeneous This class represents the Homogeneous coordinates.
Value This class wrapps the double value of a blade (wedge product of generic basis versors).
Versor This class represents a basis versor.
 

Package jclifford Description

This package provides for Clifford algebra operations.

It is distributed under the terms of the MIT license.

The MIT License :
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Copyright (c) 2002, 2003, 2004, 2005 Giorgio Vassallo, Pietro Brignola

Permission is hereby granted, free of charge, to any person obtaining a
copy of this software and associated documentation files (the "Software"),
to deal in the Software without restriction, including without limitation
the rights to use, copy, modify, merge, publish, distribute, sublicense,
and/or sell copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR
OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.
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In this package all the implementation of the Clifford element are blade-value TreeMap based.

Wrapper classes are used for blade and value manipulation and storing.

Specific implementations differ on blade wrapper class basis, in particular:

  • integer-based bynary representation of blades is used for high performance Clifford computation in signed spaces with dimension not higher of 8
  • BitMask-based bynary representation of blades is used for Clifford computation in arbitrary dimension spaces
  • TreeSet-based representation of blades is used for Clifford computation in arbitrary dimension spaces and expecially for graph working
  • Package Specification

    This package was realized using JavaTM 2 Platform v1.4.1

    Related Documentation

    For overviews, tutorials, examples, guides, and tool documentation, please refer to: @version

    0.9

    Author:

    Realized by Giorgio Vassallo , Pietro Brignola, November 2002.


    package jclifford

    package jclifford API Specification