These are the release notes for SymPy 0.7.2. SymPy 0.7.2 was released on October 16, 2012.
SymPy now supports Python 3. The officially supported versions are 3.2 and 3.3, but 3.1 should also work in a pinch. The Python 3-compatible tarballs will be provided separately, but it is also possible to download Python 2 code and convert it manually, via the bin/use2to3 utility. See the README for more
All SymPy tests pass in recent nightlies of PyPy, and so it should have full support as of the next version after 1.9.
A new module called Combinatorics was added which is the result of a successful GSoC project. It attempts to replicate the functionality of Combinatorica and currently has full featured support for Permutations, Subsets, Gray codes and Prufer codes.
In another GSoC project, facilities from computational group theory were added to the combinatorics module, mainly following the book "Handbook of computational group theory". Currently only permutation groups are supported. The main functionalities are: basic properties (orbits, stabilizers, random elements...), the Schreier-Sims algorithm (three implementations, in increasing speed: with Jerrum's filter, incremental, and randomized (Monte Carlo)), backtrack searching for subgroups with certain properties.
A new module called meijerint was added, which is also the result of a successful GSoC project. It implements a heuristic algorithm for (mainly) definite integration, similar to the one used in Mathematica. The code is automatically called by the standard integrate() function. This new algorithm allows computation of important integral transforms in many interesting cases, so helper functions for Laplace, Fourier and Mellin transforms were added as well.
A new module called stats was added. This introduces a RandomSymbol type which can be used to model uncertainty in expressions.
A new matrix submodule named expressions was added. This introduces a MatrixSymbol type which can be used to describe a matrix without explicitly stating its entries. A new family of expression types were also added: Transpose, Inverse, Trace, and BlockMatrix. ImmutableMatrix was added so that explicitly defined matrices could interact with other SymPy expressions.
A number of new sets were added including atomic sets like FiniteSet, Reals, Naturals, Integers, UniversalSet as well as compound sets like ProductSet and TransformationSet. Using these building blocks it is possible to build up a great variety of interesting sets.
A physics submodule named machanics was added which assists in formation of equations of motion for constrained multi-body systems. It is the result of 3 GSoC projects. Some nontrivial systems can be solved, and examples are provided.
Density operator module has been added. The operator can be initialized with generic Kets or Qubits. The Density operator can also work with TensorProducts as arguments. Global methods are also added that compute entropy and fidelity of states. Trace and partial-trace operations can also be performed on these density operators.
To enable partial trace operations a Tr module has been added to the core library. While the functionality should remain same, this module is likely to be relocated to an alternate folder in the future. One can currently also use sympy.core.Tr to work on general trace operations, but this module is what is needed to work on trace and partial-trace operations on any sympy.physics.quantum objects.
The Density operators, Tr and Partial trace functionality was implemented as part of student participation in GSoC 2012
Expanded angular momentum to include coupled-basis states and product-basis states. Operators can also be treated as acting on the coupled basis (default behavior) or on one component of the tensor product states. The methods for coupling and uncoupling these states can work on an arbitrary number of states. Representing, rewriting and applying states and operators between bases has been improved.
A new module
agca was started which seeks to support computations in
commutative algebra (and eventually algebraic geometry) in the style of
Macaulay2 and Singular. Currently there is support for computing Groebner
bases of modules over a (generalized) polynomial ring over a field. Based on
this, there are algorithms for various standard problems in commutative
algebra, e.g., computing intersections of submodules, equality tests in
quotient rings, etc....
A new plotting module has been added which uses Matplotlib as its back-end. The plotting module has functions to plot the following:
Thanks to a GSoC project the beginning of a new module covering the theory of
differential geometry was started. It can be imported with
sympy.diffgeom. It is based on "Functional Differential Geometry" by Sussman
and Wisdom. Currently implemented are scalar, vector and form fields over
manifolds as well as covariant and other derivatives.
-The KroneckerDelta class was moved from sympy/physics/quantum/kronecker.py to sympy/functions/special/tensor_functions.py.
Merged the KroneckerDelta class in sympy/physics/secondquant.py with the class above.
The Dij class in sympy/functions/special/tensor_functions.py was replaced with KroneckerDelta.
The errors raised for invalid
float calls on SymPy objects were changed in
order to emulate more closely the errors raised by the standard library. The
__complex__ methods of
Expr are concerned with that
solve() function returns empty lists instead of
None objects if no
solutions were found. Idiomatic code of the form
sol = solve(...); if
sol:... will not be affected by this change.
Piecewise no longer accepts a Set or Interval as a condition. One should explicitly specify a variable using Set().contains(x) to obtain a valid conditional.
The statistics module has been deprecated in favor of the new stats module.
set_main() is no longer needed
the symbols used in this package are no longer broadcast to the main program
The classes for Infinity, NegativeInfinity, and NaN no longer subclass from Rational. Creating a Rational with 0 in the denominator will still return one of these classes, however.
A new module
gaussopt was added supporting the most basic constructions
from Gaussian optics (ray tracing matrices, geometric rays and Gaussian
New classes were added to represent the following special functions: classical and generalized exponential integrals (Ei, expint), trigonometric (Si, Ci) and hyperbolic integrals (Shi, Chi), the polylogarithm (polylog) and the Lerch transcendent (lerchphi). In addition to providing all the standard sympy functionality (differentiation, numerical evaluation, rewriting ...), they are supported by both the new meijerint module and the existing hypergeometric function simplification module.
An ImmutableMatrix class was created. It has the same interface and functionality of the old Matrix but is immutable and inherits from Basic.
A new function in geometry.util named
centroid was added which will
calculate the centroid of a collection of geometric entities. And the
polygon module now allows triangles to be instantiated from combinations of
side lengths and angles (using keywords sss, asa, sas) and defines utility
functions to convert between degrees and radians.
In ntheory.modular there is a function (
solve_congruence) to solve
congruences such as "What number is 2 mod 3, 3 mod 5 and 2 mod 7?"
A utility function named
find_unit has been added to physcis.units that
allows one to find units that match a given pattern or contain a given unit.
There have been some additions and modifications to Expr's methods:
Although the problem of proving that two expressions are equal is in general
a difficult one (since whatever algorithm is used, there will always be an
expression that will slip through the algorithm) the new method of Expr
equals will do its best to answer whether A equals B: A.equals(B)
might given True, False or None.
coeff now supports a third argument
n (which comes 2nd now, instead of
n is used to indicate the exponent on x which one seeks:
(x**2 + 3*x + 4).coeff(x, 1) ->
3. This makes it possible to extract the
constant term from a polynomial:
(x**2 + 3*x + 4).coeff(x, 0) ->
round has been added to round a SymPy expression to a given a
number of decimal places (to the left or right of the decimal point).
divmod is now supported for all SymPy numbers.
In the simplify module, the algorithms for denesting of radicals (sqrtdenest) and simplifying gamma functions (in combsimp) has been significantly improved.
TableForm function has been added to the
printing.tableform module so one can easily generate tables with headings.
In addition to the more noticeable changes listed above, there have been
numerous smaller additions, improvements and bug fixes in the commits in
this release. See the git log for a full list of all changes. The command
git log sympy-0.7.1..sympy-0.7.2 will show all commits made between this
release and the last. You can also see the issues closed since the last
The expand API has been updated.
expand() now officially supports
_eval_expand_hint() methods on custom
_eval_expand_hint() methods are now only responsible for
expanding the top-level expression. All
deep=True related logic happens
expand() itself. See the
for more information and an example.
Two options were added to
isympy to aid in interactive usage.
automatically creates symbols, so that typing something like
a will give
Symbol('a'), even if you never typed
a = Symbol('a') or
isympy -i automatically wraps integer literals with Integer, so that
Rational(1, 2) instead of
isympy -I is the same as
isympy -a -i.
isympy -I makes isympy act much more like a traditional
interactive computer algebra system. These both require IPython.
The following people contributed at least one patch to this release (names are given in alphabetical order by last name). A total of 103 people contributed to this release. People with a * by their names contributed a patch for the first time for this release; 77 people contributed for the first time for this release.
Thanks to everyone who contributed to this release!