Extensions - Overview
The Jep Extensions offer a number of additional features to the
standard Jep package. These fall in a few broad areas: fast
evaluation, symbolic manipulation, differentiation, a type system,
vectors and matrices and MathmML conversion.
Field Type System
The com.singularsys.extensions.field package provides a type system for Jep.
This allows custom datatypes such as Rational Numbers to be easily added to the Jep system.
The com.singularsys.extensions.matrix package adds to this system
allowing various matrix implementations to be used.
-
Field
-
Documentation
- Package:
com.singularsys.extensions.field
-
Matrices
-
Documentation
- Package:
com.singularsys.extensions.matrix
Fast Evaluation
Two packages offer fast evaluation the
com.singularsys.extensions.fastreal
is optimized for simple expressions involving scaler expressions, whilst the other
com.singularsys.extensions.fastmatrix
is for expressions working with vectors and matrices.
Both work by compiling the expression to an efficient reverse-polish notation and using a special evaluation routine.
The typically offer between a 4 and 10 fold speedup over the normal evaluation.
These discussed in the fastreal and fastmatrix documentation pages.
-
Fast Evaluation (Reals)
-
Documentation
- Package:
com.singularsys.extensions.fastreal
-
Fast Evaluation (Matrices)
-
Documentation
- Package:
com.singularsys.extensions.fastmatrix
Symbolic operations and differentiation
Several packages allow symbolic manipulation of Jep expressions. These can be used to clean up expressions,
expand expression, convert them to polynomials, and perform symbolic differentiation.
There is a facility to allow custom rewriting rules to be implemented.
-
Expression Cleaner
-
Removes redundant parts of expressions which cleans up expressions like
2.0*x^1.0*1.0+0.0
to produce
2.0*x
- Documentation: Expression Cleaner
- Javadoc:
com.singularsys.extensions.xjep.ExpressionCleaner
-
Polynomials
-
Conversion to polynomials; advanced simplification and comparison of
expressions. Extraction of polynomial coefficients.
- Documentation: Polynomials
- Package:
com.singularsys.extensions.polynomials
-
XJep
-
Several utilities for symbolic operations. Include the XJep sub
class of Jep with methods for simplification and substitution, and a
pre-processing stage for symbolic manipulation of expressions before
evaluation. Variables in XJep can have an associated expression.
- Documentation:
XJep
- Package: com.singularsys.extensions.xjep
-
Differentiation
-
equations can be differentiated, these can be specified either
programmatically or in the equations themselves.
- Documentation:
Differentiation
- Package: com.singularsys.extensions.djep
-
Rewrite
-
Performs symbolic rewriting operations, allows for advanced simplification rules to be specified.
- Documentation: Rewrite
- Package:
com.singularsys.extensions.rewrite
-
Expanded syntactical features
- Structured programming
- Support for structured programming constructs like
for, while and if.
- Documentation: Structured
programming
- Package: com.singularsys.extensions.structure
- Lambda functions
- Anonymous lambda functions
x=>x^2 and higher order functions map(x=>x^2,[1..10]).
- Documentation: Lambda Functions
- Package: com.singularsys.extensions.lambda
MathML
Conversion to/from the Content-MathML mathematical markup language.
- Documentation: MathML
- Package:
com.singularsys.extensions.mathml
Statistical
Includes a range of statistical functions, Mean, Median, and some basic
distributions, Binomial, and Normal.
- Documentation: Statistical
- Packages:
com.singularsys.extensions.statistical
- Distributions:
com.singularsys.extensions.statistical.distributions
