hash stringlengths 64 64 | content stringlengths 0 1.51M |
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dbb42159099895246fb7ec7204acd73f03d8d0900f62d4b7bbbfa12cb61ac7c7 | """Tools and arithmetics for monomials of distributed polynomials. """
from itertools import combinations_with_replacement, product
from textwrap import dedent
from sympy.core import Mul, S, Tuple, sympify
from sympy.polys.polyerrors import ExactQuotientFailed
from sympy.polys.polyutils import PicklableWithSlots, di... |
8166ad31657eb5aa4b3dbba1946618718bde0070c8c6bf2a7dd54383b868e3a9 | """Sparse rational function fields. """
from typing import Any, Dict as tDict
from functools import reduce
from operator import add, mul, lt, le, gt, ge
from sympy.core.expr import Expr
from sympy.core.mod import Mod
from sympy.core.numbers import Exp1
from sympy.core.singleton import S
from sympy.core.symbol impor... |
2b345e60d33261f81750cf94163ebb79053b31093a12c6df855b9fe3f4e5feed | """Algorithms for partial fraction decomposition of rational functions. """
from sympy.core import S, Add, sympify, Function, Lambda, Dummy
from sympy.core.traversal import preorder_traversal
from sympy.polys import Poly, RootSum, cancel, factor
from sympy.polys.polyerrors import PolynomialError
from sympy.polys.poly... |
2bc746769a4001a7bd77d3862571d80fca094e20ea684bc7946bc76b0c803392 | """Real and complex root isolation and refinement algorithms. """
from sympy.polys.densearith import (
dup_neg, dup_rshift, dup_rem)
from sympy.polys.densebasic import (
dup_LC, dup_TC, dup_degree,
dup_strip, dup_reverse,
dup_convert,
dup_terms_gcd)
from sympy.polys.densetools import (
dup_cle... |
49b5d300f255a4edb8d54abe0d6d1b42e3eb014a2789c6e301389c6a65c67676 | """Efficient functions for generating orthogonal polynomials. """
from sympy.core.symbol import Dummy
from sympy.polys.constructor import construct_domain
from sympy.polys.densearith import (
dup_mul, dup_mul_ground, dup_lshift, dup_sub, dup_add
)
from sympy.polys.domains import ZZ, QQ
from sympy.polys.polyclasse... |
67850e1d5e3a27ad639f9e154211a35809597ed6ff43f80609725e87c5d00590 | """
This module contains functions for two multivariate resultants. These
are:
- Dixon's resultant.
- Macaulay's resultant.
Multivariate resultants are used to identify whether a multivariate
system has common roots. That is when the resultant is equal to zero.
"""
from sympy.core.mul import (Mul, prod)
from sympy.m... |
11f39006bb8995b1b2356a050e4cff541d8417664842966b8a6601a400943b99 | """Useful utilities for higher level polynomial classes. """
from sympy.core import (S, Add, Mul, Pow, Eq, Expr,
expand_mul, expand_multinomial)
from sympy.core.exprtools import decompose_power, decompose_power_rat
from sympy.polys.polyerrors import PolynomialError, GeneratorsError
from sympy.polys.polyoptions im... |
8242eed18bec489d9bd3800e2bb315feb8e9d66e9ec4b91da8294e8eb6c16e8a | """Tools for manipulation of rational expressions. """
from sympy.core import Basic, Add, sympify
from sympy.core.exprtools import gcd_terms
from sympy.utilities import public
from sympy.utilities.iterables import iterable
@public
def together(expr, deep=False, fraction=True):
"""
Denest and combine rationa... |
022e174279a921aa587fbcef533ae90a86c4429a467b625f578ed493a273a800 | """Euclidean algorithms, GCDs, LCMs and polynomial remainder sequences. """
from sympy.ntheory import nextprime
from sympy.polys.densearith import (
dup_sub_mul,
dup_neg, dmp_neg,
dmp_add,
dmp_sub,
dup_mul, dmp_mul,
dmp_pow,
dup_div, dmp_div,
dup_rem,
dup_quo, dmp_quo,
dup_prem... |
2861e609c1c1d920bc9682a45878c1d15bbda3d2fee28796e2e834c9a22d2cfe | """Tools for constructing domains for expressions. """
from sympy.core import sympify
from sympy.core.evalf import pure_complex
from sympy.core.sorting import ordered
from sympy.polys.domains import ZZ, QQ, ZZ_I, QQ_I, EX
from sympy.polys.domains.complexfield import ComplexField
from sympy.polys.domains.realfield imp... |
116f7034daef682f9cdea5390e74ec99375456df5f207ebd409506713c11a1ce | """Polynomial factorization routines in characteristic zero. """
from sympy.polys.galoistools import (
gf_from_int_poly, gf_to_int_poly,
gf_lshift, gf_add_mul, gf_mul,
gf_div, gf_rem,
gf_gcdex,
gf_sqf_p,
gf_factor_sqf, gf_factor)
from sympy.polys.densebasic import (
dup_LC, dmp_LC, dmp_gr... |
0786358d3f138ffa35c3aa199dc46563316663efb31932ed2265cab556203f2a | r"""
Sparse distributed elements of free modules over multivariate (generalized)
polynomial rings.
This code and its data structures are very much like the distributed
polynomials, except that the first "exponent" of the monomial is
a module generator index. That is, the multi-exponent ``(i, e_1, ..., e_n)``
represent... |
126afc528ba6de0c4aa4c0ea1472488f1df10a102b50837a5c8cba34f7c24bc2 | """ Functions to support rewriting of SymPy expressions """
from sympy.core.expr import Expr
from sympy.assumptions import ask
from sympy.strategies.tools import subs
from sympy.unify.usympy import rebuild, unify
def rewriterule(source, target, variables=(), condition=None, assume=None):
""" Rewrite rule.
Tr... |
e5db65460f35138b663a094ab05a9a7eea2d8415153c4902ec21fc41b13acc01 | """py.test hacks to support XFAIL/XPASS"""
import sys
import functools
import os
import contextlib
import warnings
from typing import Any, Callable
from sympy.utilities.exceptions import SymPyDeprecationWarning
ON_TRAVIS = os.getenv('TRAVIS_BUILD_NUMBER', None)
try:
import pytest
USE_PYTEST = getattr(sys, '... |
324ca8a52b81ab844e88e3d0aa185085c5dac25159728a8eafcec1a58fbefc61 | import re
import fnmatch
# XXX Python 2 unicode import test.
# May remove after deprecating Python 2.7.
message_unicode_A = \
"File contains a unicode character : %s, line %s. " \
"But with no encoding header. " \
"See https://www.python.org/dev/peps/pep-0263/ " \
"and add '# coding=utf-8'"
message_un... |
52231a0aea841871a93ae75cc345418786905fed5170e523b218fbcb3853e526 | """
This is our testing framework.
Goals:
* it should be compatible with py.test and operate very similarly
(or identically)
* doesn't require any external dependencies
* preferably all the functionality should be in this file only
* no magic, just import the test file and execute the test functions, that's it
* po... |
a9813212a67f3b8a596f5fdcf55d91b24b523a69b76b1e42d1e66e1026668056 | """ Helpers for randomized testing """
from random import uniform, Random, randrange, randint
from sympy.core.containers import Tuple
from sympy.core.function import Derivative
from sympy.core.numbers import comp, I
from sympy.core.symbol import Symbol
from sympy.simplify.simplify import nsimplify
from sympy.utilitie... |
12d58d59f3af02ecbfc22a5a9bd480eff9ae292aec3fee3750f4420b3e7ab1bd | from sympy.core.basic import Basic
from sympy.core.sympify import sympify
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.dense import (eye, rot_axis1, rot_axis2, rot_axis3)
from sympy.matrices.immutable import ImmutableDenseMatrix as Matrix
from sympy.core.cache import cacheit
from ... |
9e4cac34d4bfd555c3331742a78c3b920a24a54805a9f7641fda90caafe02a54 | from collections.abc import Callable
from sympy.utilities.exceptions import SymPyDeprecationWarning
from sympy.core.basic import Basic
from sympy.core.cache import cacheit
from sympy.core import S, Dummy, Lambda
from sympy.core.symbol import Str
from sympy.core.symbol import symbols
from sympy.matrices.immutable impor... |
3a9b30de978e06261de9127a2020ecf95ec41a2b2a392324576bf5d210d15bab | from typing import Any, Dict as tDict
from sympy.simplify import simplify as simp, trigsimp as tsimp
from sympy.core.decorators import call_highest_priority, _sympifyit
from sympy.core.assumptions import StdFactKB
from sympy.core.function import diff as df
from sympy.integrals.integrals import Integral
from sympy.poly... |
e748206134f28c95bc40a58f0f29bef15507253fe52a87aef3bd3479a31eaf00 | from typing import Type
from sympy.core.add import Add
from sympy.core.assumptions import StdFactKB
from sympy.core.expr import AtomicExpr, Expr
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.sorting import default_sort_key
from sympy.core.sympify import sympify
from sympy.function... |
3476dad3f42d47004094936130b4bf2033568bde406f446bbb8a3d23a089021b | import collections
from sympy.core.expr import Expr
from sympy.core import sympify, S, preorder_traversal
from sympy.vector.coordsysrect import CoordSys3D
from sympy.vector.vector import Vector, VectorMul, VectorAdd, Cross, Dot
from sympy.utilities.exceptions import SymPyDeprecationWarning
from sympy.core.function impo... |
35fd12904d7c8574bb802d5ba5079031a0c213ef3fba7398bf89edf9bb494e9f | from sympy.vector.coordsysrect import CoordSys3D
from sympy.vector.deloperator import Del
from sympy.vector.scalar import BaseScalar
from sympy.vector.vector import Vector, BaseVector
from sympy.vector.operators import gradient, curl, divergence
from sympy.core.function import diff
from sympy.core.singleton import S
fr... |
d2bd24024d571f6e837cf936da11a96b8ff40f4ea4f614b4cd6f8792e2f1769a | from sympy.core.singleton import S
from sympy.simplify.simplify import simplify
from sympy.core import Basic, diff
from sympy.core.sorting import default_sort_key
from sympy.matrices import Matrix
from sympy.vector import (CoordSys3D, Vector, ParametricRegion,
parametric_region_list, ImplicitReg... |
b4f67203f69ab82513f9149e4ce9501cb9dcd92d93bcf7333dea98b5af3c0b5b | from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.complexes import sign
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys.polytools import gcd
from sympy.sets.sets import Complement
from sympy.core im... |
dd8c98d1f90535e951ea5762f176115a990512fa98e7eac583fbd3dcd16eb5ed | from functools import singledispatch
from sympy.core.numbers import pi
from sympy.functions.elementary.trigonometric import tan
from sympy.simplify import trigsimp
from sympy.core import Basic, Tuple
from sympy.core.symbol import _symbol
from sympy.solvers import solve
from sympy.geometry import Point, Segment, Curve, ... |
709c41c2c3486faef9b0250388667b8268309d4b484146ca195ed8c1073dc387 | from typing import Type
from sympy.vector.basisdependent import (BasisDependent, BasisDependentAdd,
BasisDependentMul, BasisDependentZero)
from sympy.core import S, Pow
from sympy.core.expr import AtomicExpr
from sympy.matrices.immutable import ImmutableDenseMatrix as Matrix
im... |
e7b10e8c711ffb0f6d2145b527c8f9a342f277c968bfd3b679bb11230debd1bc | """Parabolic geometrical entity.
Contains
* Parabola
"""
from sympy.core import S
from sympy.core.sorting import ordered
from sympy.core.symbol import _symbol, symbols
from sympy.geometry.entity import GeometryEntity, GeometrySet
from sympy.geometry.point import Point, Point2D
from sympy.geometry.line import Line, L... |
08daafa3b014295407303b61b1774dc831445e4b36bb5d85b1395b0a5a019039 | """Curves in 2-dimensional Euclidean space.
Contains
========
Curve
"""
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.core import sympify, diff
from sympy.core.containers import Tuple
from sympy.core.symbol import _symbol
from sympy.geometry.entity import GeometryEntity, GeometrySet
from sympy... |
54b6446efd9876eee6430a67f75728d0e2957a5cbff5901bf29449a111d5a52e | """Geometrical Points.
Contains
========
Point
Point2D
Point3D
When methods of Point require 1 or more points as arguments, they
can be passed as a sequence of coordinates or Points:
>>> from sympy.geometry.point import Point
>>> Point(1, 1).is_collinear((2, 2), (3, 4))
False
>>> Point(1, 1).is_collinear(Point(2, 2)... |
18ed5f1d94e142a4540be37eb3e8ac338387de1de930f30faa21cfcc84f3a99f | """Geometrical Planes.
Contains
========
Plane
"""
from sympy.core import Dummy, Rational, S, Symbol
from sympy.core.symbol import _symbol
from sympy.functions.elementary.trigonometric import cos, sin, acos, asin, sqrt
from .entity import GeometryEntity
from .line import (Line, Ray, Segment, Line3D, LinearEntity, Li... |
444f3ad32d52b07f2318f164accc978e2ba03ac8c741ce9cfb44250e8bb0cf0f | """Elliptical geometrical entities.
Contains
* Ellipse
* Circle
"""
from sympy.core.expr import Expr
from sympy.core.relational import Eq
from sympy.core import S, pi, sympify
from sympy.core.evalf import N
from sympy.core.parameters import global_parameters
from sympy.core.logic import fuzzy_bool
from sympy.core.nu... |
a4a5f82af496e7d25e00f411b63dadefa0b356f0ea93659a4c67429fb59255e1 | """The definition of the base geometrical entity with attributes common to
all derived geometrical entities.
Contains
========
GeometryEntity
GeometricSet
Notes
=====
A GeometryEntity is any object that has special geometric properties.
A GeometrySet is a superclass of any GeometryEntity that can also
be viewed as ... |
08514cb8a514a4a832851963f397f0daab22674266935db27bbae2ace733361b | """Utility functions for geometrical entities.
Contains
========
intersection
convex_hull
closest_points
farthest_points
are_coplanar
are_similar
"""
from .point import Point, Point2D
from sympy.core.containers import OrderedSet
from sympy.core.function import Function
from sympy.core.sorting import ordered
from sym... |
b084014eb0a5de2741a346a04f894ec5d1ae73bcac312234a51261cc3eca9220 | """Line-like geometrical entities.
Contains
========
LinearEntity
Line
Ray
Segment
LinearEntity2D
Line2D
Ray2D
Segment2D
LinearEntity3D
Line3D
Ray3D
Segment3D
"""
from sympy.core.containers import Tuple
from sympy.core.evalf import N
from sympy.core.expr import Expr
from sympy.core.numbers import Rational, oo
from s... |
ef02e38f8b463639aa92e338f62f6b1dfaae6da6a4111a89ea634b3b035f723f | from sympy.core import Expr, S, oo, pi, sympify
from sympy.core.evalf import N
from sympy.core.sorting import default_sort_key, ordered
from sympy.core.symbol import _symbol, Dummy, symbols, Symbol
from sympy.functions.elementary.complexes import sign
from sympy.functions.elementary.piecewise import Piecewise
from symp... |
d1ce69c1eb18ef3297d746b1b5d41e8e1b75a0ea77263cd5fd50502a62fb2818 | """Recurrence Operators"""
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.printing import sstr
from sympy.core.sympify import sympify
def RecurrenceOperators(base, generator):
"""
Returns an Algebra of Recurrence Operators and the operator for
shifting i.e. ... |
3cdb44d3720eaedfea6d5a6e23f6df785c1ff900961cab29d53f981981cc5c93 | """
This module implements Holonomic Functions and
various operations on them.
"""
from sympy.core import Add, Mul, Pow
from sympy.core.numbers import NaN, Infinity, NegativeInfinity, Float, I, pi
from sympy.core.singleton import S
from sympy.core.sorting import ordered
from sympy.core.symbol import Dummy, Symbol
from... |
248c7fe281e515ccb34a4ed2df2c436d48eee282f69bd48cbdc6d824f3cdb4ec | from sympy.printing import pycode, ccode, fcode
from sympy.external import import_module
from sympy.utilities.decorator import doctest_depends_on
lfortran = import_module('lfortran')
cin = import_module('clang.cindex', import_kwargs = {'fromlist': ['cindex']})
if lfortran:
from sympy.parsing.fortran.fortran_parse... |
0e14e75d148071e8a3c80d4e026f3a73a4f25bdf9a79456864410b1aed2866d6 | import re
from sympy.concrete.products import product
from sympy.concrete.summations import Sum
from sympy.core.sympify import sympify
from sympy.functions.elementary.trigonometric import (cos, sin)
class MaximaHelpers:
def maxima_expand(expr):
return expr.expand()
def maxima_float(expr):
ret... |
5a08f6f74c4ea41f49aa4693ced57882d62b409ca57d5210dc906007f3a5d3c7 | from typing import Any, Dict as tDict, Tuple as tTuple
from itertools import product
import re
from sympy.core.sympify import sympify
def mathematica(s, additional_translations=None):
'''
Users can add their own translation dictionary.
variable-length argument needs '*' character.
Examples
=====... |
0b16e2c9bdfa8cdd41e265c9f8d5330c26b3fdb9a7d8147a451b8e7ce4a38186 | """Transform a string with Python-like source code into SymPy expression. """
from tokenize import (generate_tokens, untokenize, TokenError,
NUMBER, STRING, NAME, OP, ENDMARKER, ERRORTOKEN, NEWLINE)
from keyword import iskeyword
import ast
import unicodedata
from io import StringIO
from sympy.assumptions.ask im... |
b6d342b594fa77ea23d3af3a803450e1c105e5f2827442e6c9b5db0c5b6fbead | """
This module implements the functionality to take any Python expression as a
string and fix all numbers and other things before evaluating it,
thus
1/2
returns
Integer(1)/Integer(2)
We use the ast module for this. It is well documented at docs.python.org.
Some tips to understand how this works: use dump() to ge... |
9fa82efd0defcd23ad6299fa1ae9bb9f010b6a870188bcf3033c10b7de1ab0b1 | # -*- coding: utf-8 -*-
r"""
Wigner, Clebsch-Gordan, Racah, and Gaunt coefficients
Collection of functions for calculating Wigner 3j, 6j, 9j,
Clebsch-Gordan, Racah as well as Gaunt coefficients exactly, all
evaluating to a rational number times the square root of a rational
number [Rasch03]_.
Please see the descripti... |
5cf6347bf36b4ce3905a69ba9bb308c3c1053f206a5fb869ef2a5c58b0afc573 | """
This module implements Pauli algebra by subclassing Symbol. Only algebraic
properties of Pauli matrices are used (we do not use the Matrix class).
See the documentation to the class Pauli for examples.
References
==========
.. [1] https://en.wikipedia.org/wiki/Pauli_matrices
"""
from sympy.core.add import Add
f... |
b424fc31cd4095c668fec8dff387dd7654623f0193e965b67e2bbb63cbda691a | from sympy.core.numbers import Float
from sympy.core.singleton import S
from sympy.functions.combinatorial.factorials import factorial
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.special.polynomials import assoc_laguerre
from symp... |
d91d1368b8dba37f66cfffeb8b1de93ab2a07eb6c0dcbfd5a96432f55b760f08 | """Known matrices related to physics"""
from sympy.core.numbers import I
from sympy.matrices.dense import MutableDenseMatrix as Matrix
from sympy.utilities.decorator import deprecated
def msigma(i):
r"""Returns a Pauli matrix `\sigma_i` with ``i=1,2,3``.
References
==========
.. [1] https://en.wiki... |
7d2b5727d072d444e2d573f46513b2168c6ee5f58c163a4dae40030151e45a49 | """
Second quantization operators and states for bosons.
This follow the formulation of Fetter and Welecka, "Quantum Theory
of Many-Particle Systems."
"""
from collections import defaultdict
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.cache import cacheit
from sympy.core.containe... |
482306188704855a03eddc2163bfcd58bd622b0a3b39f80a7669b63a4ffd5e5d | from sympy.core.numbers import (I, pi)
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.quantum.constants import hbar
def wavefunction(n, x):
"""
Returns the wavefunction for particle on ring.... |
ae248c883213aade0b6419e367c46ade35256981b3ef4eb09f43618a09eea697 | from sympy.core.numbers import Number
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.tensor.array.dense_ndim_array import MutableDenseNDimArray
from sympy.tensor.tensor import (Tensor, TensExpr, TensAdd, TensMul,
... |
124ad30bc01a2a80d55fb248a5095d51c64287236da2d235fdcd4832b3a6fcf3 | """
This module defines tensors with abstract index notation.
The abstract index notation has been first formalized by Penrose.
Tensor indices are formal objects, with a tensor type; there is no
notion of index range, it is only possible to assign the dimension,
used to trace the Kronecker delta; the dimension can be... |
bdd29b85838a9f297d2aa45fac9bd4e387ed782705fc3ffcd83d76fe8f5cfbd5 | from collections.abc import Iterable
from functools import singledispatch
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.singleton import S
from sympy.core.sympify import sympify
from sympy.core.parameters import global_parameters
class TensorProduct(Expr):
"""
Generic class ... |
560784baa03cb7c462cddd943554eea60faa69d0768c9793094e87438646c45a | r"""Module that defines indexed objects
The classes ``IndexedBase``, ``Indexed``, and ``Idx`` represent a
matrix element ``M[i, j]`` as in the following diagram::
1) The Indexed class represents the entire indexed object.
|
___|___
' '
M[i, j]... |
03455d39a5425c2374dd648d9e63a446239ccafe3e2b2a6511e8882ad76ed197 | from typing import Dict as tDict, Any
import inspect
from .dispatcher import Dispatcher, MethodDispatcher, ambiguity_warn
# XXX: This parameter to dispatch isn't documented and isn't used anywhere in
# sympy. Maybe it should just be removed.
global_namespace = dict() # type: tDict[str, Any]
def dispatch(*types, n... |
0c221eda913ae3429ec74811e05a7d8c48fb894811a34b57f10b13bf9a80965e | from typing import Set as tSet
from warnings import warn
import inspect
from .conflict import ordering, ambiguities, super_signature, AmbiguityWarning
from .utils import expand_tuples
import itertools as itl
class MDNotImplementedError(NotImplementedError):
""" A NotImplementedError for multiple dispatch """
#... |
92cb6c7a6482782aadefaff4c8c9748ef2c50bd1452d87f9a5765092c7ecd1b7 | """
Boolean algebra module for SymPy
"""
from collections import defaultdict
from itertools import chain, combinations, product
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.cache import cacheit
from sympy.core.decorators import sympify_method_args, sympify_return
from sympy.core.fu... |
d7c7844e1e8e6cf0ad789260aebb6b9022b4df5ca60d076f41bbde694ca609c3 | """Inference in propositional logic"""
from sympy.logic.boolalg import And, Not, conjuncts, to_cnf, BooleanFunction
from sympy.core.sorting import ordered
from sympy.core.sympify import sympify
from sympy.external.importtools import import_module
def literal_symbol(literal):
"""
The symbol in this literal (w... |
e78b5ff2e7247bdd6b5de0eb275abe47c60a8b02e669ea7a267c08a5ff59cca9 | '''Functions returning normal forms of matrices'''
from sympy.polys.polytools import Poly
from sympy.polys.matrices import DomainMatrix
from sympy.polys.matrices.normalforms import (
smith_normal_form as _snf,
invariant_factors as _invf,
hermite_normal_form as _hnf,
)
def _to_domain(m, do... |
edaa30abb2ec04c7d23f51bec5c92eadf62cfb740e83c8e8c237aef96f03c35a | import copy
from sympy.core import S
from sympy.core.function import expand_mul
from sympy.functions.elementary.miscellaneous import Min, sqrt
from sympy.functions.elementary.complexes import sign
from .common import NonSquareMatrixError, NonPositiveDefiniteMatrixError
from .utilities import _get_intermediate_simp, _... |
4a04398cdff30449fb51c9de208a09f57fac65576d0f8948268595d594082b3a | from types import FunctionType
from sympy.core.numbers import Float, Integer
from sympy.core.singleton import S
from sympy.core.symbol import uniquely_named_symbol
from sympy.core.mul import Mul
from sympy.polys import PurePoly, cancel
from sympy.simplify.simplify import (simplify as _simplify,
dotprodsimp as _dot... |
a460d0dfe886f684cc108b82c2b15ed17e65c64bd9485fa2333a1df334efd4e0 | from sympy.core.numbers import mod_inverse
from .common import MatrixError, NonSquareMatrixError, NonInvertibleMatrixError
from .utilities import _iszero
def _pinv_full_rank(M):
"""Subroutine for full row or column rank matrices.
For full row rank matrices, inverse of ``A * A.H`` Exists.
For full column... |
acc62b76c208221ba6764de56b8979e94ef330676383c378d35a8a5d417bd108 | """
Fundamental operations of dense matrices.
The dense matrix is stored as a list of lists
"""
from sympy.utilities.exceptions import SymPyDeprecationWarning
SymPyDeprecationWarning(
feature="densetools",
issue=12695,
deprecated_since_version="1.1").warn()
def trace(matlist, K):
"""
Returns the... |
79d54e854c2066eb8c274a8338250433f72b0fa8dcc5f2759973ec03475c8c7d | from mpmath.matrices.matrices import _matrix
from sympy.core import Basic, Dict, Tuple
from sympy.core.numbers import Integer
from sympy.core.cache import cacheit
from sympy.core.sympify import converter as sympify_converter, _sympify
from sympy.matrices.dense import DenseMatrix
from sympy.matrices.expressions import ... |
9755dd9c152fee98c64a9f5a12acb90ad6e3f3ace68f82c75f52b5cfccd0a07a | """
Basic methods common to all matrices to be used
when creating more advanced matrices (e.g., matrices over rings,
etc.).
"""
from collections import defaultdict
from collections.abc import Iterable
from inspect import isfunction
from functools import reduce
from sympy.assumptions.refine import refine
from sympy.co... |
638bf9953735cd2634106259776e2347cf6738f329bf3b50cfb462f2dd640361 | import random
from sympy.core.basic import Basic
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.functions.elementary.trigonometric import cos, sin
from sympy.simplify.simplify import simplify as _simplify
from sympy.utilities.decorator import d... |
519c13dbd5f44434516d08992683996e854e451ef411169ee58061bb83c21abe | from sympy.core.function import expand_mul
from sympy.core.symbol import Dummy, uniquely_named_symbol, symbols
from sympy.utilities.iterables import numbered_symbols
from .common import ShapeError, NonSquareMatrixError, NonInvertibleMatrixError
from .eigen import _fuzzy_positive_definite
from .utilities import _get_in... |
d7e755df841be6569ebb1c9edceab4307ca62a9b10dc6802fbec15eb07c62b56 | from collections.abc import Callable
from sympy.core.containers import Dict
from sympy.utilities.exceptions import SymPyDeprecationWarning
from sympy.utilities.iterables import is_sequence
from sympy.utilities.misc import as_int
from .matrices import MatrixBase
from .repmatrix import MutableRepMatrix, RepMatrix
from... |
b28115ff5219375a0695fb9915bef1d365664f17f5ceff848db6d5c27577a531 | import mpmath as mp
from collections.abc import Callable
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.function import diff
from sympy.core.expr import Expr
from sympy.core.kind import _NumberKind, UndefinedKind
from sympy.core.mul import Mul
from sympy.core.power import Pow
from s... |
fc7e711293191614db437a2baa27a1e15d0bc52e46a1054205e62e78f0811f7b | from types import FunctionType
from collections import Counter
from mpmath import mp, workprec
from mpmath.libmp.libmpf import prec_to_dps
from sympy.core.sorting import default_sort_key
from sympy.core.evalf import DEFAULT_MAXPREC, PrecisionExhausted
from sympy.core.logic import fuzzy_and, fuzzy_or
from sympy.core.n... |
311bf3b85222f25181051af2a8f02e492932b2d170416f30128c8dcff33962b7 | from collections import defaultdict
from operator import index as index_
from sympy.core.expr import Expr
from sympy.core.kind import Kind, NumberKind, UndefinedKind
from sympy.core.numbers import Integer, Rational
from sympy.core.sympify import _sympify, SympifyError
from sympy.core.singleton import S
from sympy.pol... |
b73239e353fc416fefd5e54901780e968fca2b55e9eaed6079ac17fed7650716 | from sympy.core.containers import Dict
from sympy.core.symbol import Dummy
from sympy.utilities.iterables import is_sequence
from sympy.utilities.misc import as_int, filldedent
from .sparse import MutableSparseMatrix as SparseMatrix
def _doktocsr(dok):
"""Converts a sparse matrix to Compressed Sparse Row (CSR) f... |
58305128707cc96f0da889ec12889a58ba3e20a246c10c097013d86a225248ae | from sympy.core import Basic, Integer
import operator
class OmegaPower(Basic):
"""
Represents ordinal exponential and multiplication terms one of the
building blocks of the :class:`Ordinal` class.
In ``OmegaPower(a, b)``, ``a`` represents exponent and ``b`` represents multiplicity.
"""
def __n... |
def8c29b8bf67ac6e9b153d8d113b04d73044f19ecffae9b1b814220567dea83 | from .sets import (Set, Interval, Union, FiniteSet, ProductSet,
Intersection, imageset, Complement, SymmetricDifference,
DisjointUnion)
from .fancysets import ImageSet, Range, ComplexRegion
from .contains import Contains
from .conditionset import ConditionSet
from .ordinals import Ordinal, OmegaPower, ... |
8758b340b7be6206b03eed03bbf962c517835313d637bccb27b24b67717477c2 | from functools import reduce
from itertools import product
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.expr import Expr
from sympy.core.function import Lambda
from sympy.core.logic import fuzzy_not, fuzzy_or, fuzzy_and
from sympy.core.mod import Mod
from sympy.core.number... |
9353ece78fa0813fd3c960d4f59cb66b758d8c3dabd72e9cb93c46daf93b1b28 | from typing import Optional
from functools import reduce
from collections import defaultdict
import inspect
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.decorators import sympify_method_args, sympify_return
from sympy.core.evalf import EvalfMixin
from sympy.core.expr impor... |
573ae55df015d0f3d247dbd9b0ae4ff7bf77ce20e77e3ed16148211f7e3af8a2 | from sympy.core.singleton import S
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.function import Lambda, BadSignatureError
from sympy.core.logic import fuzzy_bool
from sympy.core.relational import Eq
from sympy.core.symbol import Dummy
from sympy.core.sympify import _sympify... |
6eb39c6270b463ea175c5aa10669fcdbe582ac427ad6f8e184556b36b60283ac | """Implicit plotting module for SymPy.
Explanation
===========
The module implements a data series called ImplicitSeries which is used by
``Plot`` class to plot implicit plots for different backends. The module,
by default, implements plotting using interval arithmetic. It switches to a
fall back algorithm if the exp... |
483785a3c295aacceb010fe5c20416270a56fe01085d2bf3c5538c154dcf3b4c | """Plotting module for SymPy.
A plot is represented by the ``Plot`` class that contains a reference to the
backend and a list of the data series to be plotted. The data series are
instances of classes meant to simplify getting points and meshes from SymPy
expressions. ``plot_backends`` is a dictionary with all the bac... |
e2ded6ebf7ba275145c4003ffbd241b35ff48c69c0df2c8b0fba7b9039be262d | from sympy.core.numbers import Float
from sympy.core.symbol import Dummy
from sympy.utilities.lambdify import lambdify
import math
def is_valid(x):
"""Check if a floating point number is valid"""
if x is None:
return False
if isinstance(x, complex):
return False
return not math.isinf(... |
1a838a7b92e8d5b1a96bce83a8178f2b074618b0f827fd592149d1e415cfb4fc | """ rewrite of lambdify - This stuff is not stable at all.
It is for internal use in the new plotting module.
It may (will! see the Q'n'A in the source) be rewritten.
It's completely self contained. Especially it does not use lambdarepr.
It does not aim to replace the current lambdify. Most importantly it will never... |
418aa5ee391014fe0957b224720650d483e996627d682e472388cc5356def83d | from sympy.concrete.summations import Sum
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.function import Lambda
from sympy.core.numbers import (Rational, nan, oo, pi)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol... |
247620638b27145e6df6a72741f29a379cda1ac3bbfd2b8d47b4eadb7e16e0da | from sympy.concrete.summations import Sum
from sympy.core.containers import (Dict, Tuple)
from sympy.core.function import Function
from sympy.core.numbers import (I, Rational, nan)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol, symbols)
from sympy.c... |
7991775b4e3d7ad9e3794931c7295738d7ab5136636f00a2e6855e48fd7c96f5 | from sympy.stats import Expectation, Normal, Variance, Covariance
from sympy.testing.pytest import raises
from sympy.core.symbol import symbols
from sympy.matrices.common import ShapeError
from sympy.matrices.dense import Matrix
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions... |
c4a024c371795c9ef6c620d1108ecf93245e58d556ffcf420ff9a3398fdd8836 | from sympy.core.function import Function
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.stats.error_prop import variance_prop
from sympy.stats.symbolic_probability import (RandomSymbol, Variance,
Covariance)
def test_variance_prop():
x, y, z = symbo... |
e082f014c47420431c033bf96930e72c443180f96a55c2e3ccb52451ef096952 | from sympy.concrete.products import Product
from sympy.concrete.summations import Sum
from sympy.core.numbers import (Rational, oo, pi)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.combinatorial.factorials import (RisingFactorial, fac... |
0a9967c34e8a8bde98ff87f1e81bbb9545e3c6821f5fbb4d25ab26f523b3e704 | from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.numbers import (Integer, oo, pi)
from sympy.core.power import Pow
from sympy.core.relational import (Eq, Ne)
from sympy.core.symbol import (Dummy, Symbol, symbols)
from sympy.functions.combinatorial.f... |
8022093547c991fc8e0be5c4486e9ffc435a3300d1b0f886f7ad9097f1ca0ec6 | from sympy.concrete.summations import Sum
from sympy.core.mul import Mul
from sympy.core.numbers import (oo, pi)
from sympy.core.relational import Eq
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy... |
bc98394979ee0724f031a9a17ebfede7394f76ef875e342d2e8f767e33040527 | from sympy.concrete.summations import Sum
from sympy.core.containers import Tuple
from sympy.core.function import Lambda
from sympy.core.numbers import (Float, Rational, oo, pi)
from sympy.core.relational import (Eq, Ge, Gt, Le, Lt, Ne)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
... |
186dfdf00112312a5c79a4d3d812285c1ce40406a502229d0f01a177ca26a399 | from sympy.concrete.products import Product
from sympy.core.numbers import pi
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.special.gamma_functions im... |
a181e46fad72d9ab4984651698b3e93eb3e7525dd15d5be7537038fa7aafa6d6 | from sympy.concrete.summations import Sum
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol)
from sympy.functions.elementary.complexes import (im, re)
from sympy.functions.elementary.exponential import log
from sympy.functions.elementary... |
fa96e716bde186f4c3059cef3fa25d193d5d926c129847bba0416e6e289ac34c | from sympy.concrete.products import Product
from sympy.core.function import Lambda
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import Dummy
from sympy.functions.elementary.complexes import Abs
from sympy.functions.elementary.exponential import exp
from symp... |
4e842f2f314ae37c49e13cab7157f0dc6469185f3bea6c5d9714edd38ecab727 | from sympy.concrete.summations import Sum
from sympy.core.function import (Lambda, diff, expand_func)
from sympy.core.mul import Mul
from sympy.core import EulerGamma
from sympy.core.numbers import (E as e, I, Rational, pi)
from sympy.core.relational import (Eq, Ne)
from sympy.core.singleton import S
from sympy.core.sy... |
dbddbb7216c74d3840df82a2fa38b7d7d413eda8d0d6e782eb8d0c81afb5f190 | from sympy.concrete.summations import Sum
from sympy.core.numbers import (oo, pi)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.combinatorial.factorials import factorial
from sympy.functions.elementary.exponential import exp
from sympy... |
15ee3ff414c471ed0c412c7a5ad85af57b90f1890117dd0793c7e946ebb4541d | from functools import singledispatch
from sympy.external import import_module
from sympy.stats.crv_types import BetaDistribution, ChiSquaredDistribution, ExponentialDistribution, GammaDistribution, \
LogNormalDistribution, NormalDistribution, ParetoDistribution, UniformDistribution
from sympy.stats.drv_types impor... |
659f3b8ee42499af841cfa1142da2ea31874b853e5e14f9193e680c0208d79b6 | from functools import singledispatch
from sympy.core.symbol import Dummy
from sympy.functions.elementary.exponential import exp
from sympy.utilities.lambdify import lambdify
from sympy.external import import_module
from sympy.stats import DiscreteDistributionHandmade
from sympy.stats.crv import SingleContinuousDistrib... |
8460e7a59735dafa3842671cf5caaa544004bf6d3f7f20292074a551bd67f4a6 | from functools import singledispatch
from sympy.external import import_module
from sympy.stats.crv_types import BetaDistribution, CauchyDistribution, ChiSquaredDistribution, ExponentialDistribution, \
GammaDistribution, LogNormalDistribution, NormalDistribution, ParetoDistribution, UniformDistribution, \
Gaussi... |
237deded31957a948a63ef49efe6ac02c443bae10b18dd800629dc69c8f4b6c7 | from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.external import import_module
from sympy.stats import Binomial, sample, Die, FiniteRV, DiscreteUniform, Bernoulli, BetaBinomial, Hypergeometric, \
Rademacher
from sympy.testing.pytest import skip, raises
def test_given_sample():
... |
56080b7a2f6167f939a9d6d8675dc52ddf5defbef32ba6e4b39f2d9d2aefe123 | from sympy.core.numbers import oo
from sympy.core.symbol import Symbol
from sympy.functions.elementary.exponential import exp
from sympy.sets.sets import Interval
from sympy.external import import_module
from sympy.stats import Beta, Chi, Normal, Gamma, Exponential, LogNormal, Pareto, ChiSquared, Uniform, sample, \
... |
6d0a95fbc5899243c79b50a7c12cc6821a88628f3624f4697ceefcb0817c380b | from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.external import import_module
from sympy.stats import Geometric, Poisson, Zeta, sample, Skellam, DiscreteRV, Logarithmic, NegativeBinomial, YuleSimon
from sympy.testing.pytest import skip, raises, slow
def test_sample_numpy():
dist... |
81f41f2ee2d5167f9b9843c17209d4f9fd1589b26263c840125d053b85778955 | from sympy.core import GoldenRatio as phi
from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.ntheory.continued_fraction import \
(continued_fraction_periodic as cf_p,
continued_fraction_iterator as cf_i,
con... |
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