hash stringlengths 64 64 | content stringlengths 0 1.51M |
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4587c95f7f7e98d85e911137b23e531856572ab6b830bf6f1af39bb1162e0f79 | #this module tests that SymPy works with true division turned on
from sympy.core.numbers import (Float, Rational)
from sympy.core.symbol import Symbol
def test_truediv():
assert 1/2 != 0
assert Rational(1)/2 != 0
def dotest(s):
x = Symbol("x")
y = Symbol("y")
l = [
Rational(2),
... |
bcc9b565ee4109af602158ba590f0e1b4cd85041b2d583718f2b2caced4632d2 | from collections import defaultdict
from sympy.core.basic import Basic
from sympy.core.containers import (Dict, Tuple)
from sympy.core.numbers import Integer
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.core.sympify import sympify
from sympy.matrices.dense import Matrix
from symp... |
93a1cda365ec542ffcc8c960430be193f8d0d0b692f01b0279d9988383fa587a | from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.function import (Function, Lambda)
from sympy.core.mul import Mul
from sympy.core.numbers import (Float, I, Integer, Rational, pi)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import Symb... |
be57bc90847c05e8499b180472ebbd20115018b49a92f0d89f3e87200e9175bd | import math
from sympy.concrete.products import (Product, product)
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.evalf import N
from sympy.core.function import (Function, nfloat)
from sympy.core.mul import Mul
from sympy.core import (GoldenRatio)
from sympy.core.numbers impor... |
9568fb55832fd1849b1a16f13b4e2ac7058d24350b02ad1fdd4908aa6b279827 | from sympy import abc
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.function import (Derivative, Function, diff)
from sympy.core.mul import Mul
from sympy.core.numbers import (Float, I, Integer, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import... |
ba5e8db1cf3bfd711fefb230130c399485a9ceba0289f89bcbd9272b769900c9 | from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.mod import Mod
from sympy.core.mul import Mul
from sympy.core.numbers import (Float, I, Integer, Rational, comp, nan,
oo, pi, zoo)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import (Dumm... |
fd829222877a434a08cfd943b3bf14410aeff4b53eb8a6b3b5def0f0b5b0bb06 | from sympy.core.logic import (fuzzy_not, Logic, And, Or, Not, fuzzy_and,
fuzzy_or, _fuzzy_group, _torf, fuzzy_nand, fuzzy_xor)
from sympy.testing.pytest import raises
from itertools import product
T = True
F = False
U = None
def test_torf():
v = [T, F, U]
for i in product(*[v]*3):
assert _torf(... |
e8164a62a51e74047e8de1dc220b097a5247156ba8ba09a5d9cd4d3629711998 | from sympy.core.sorting import default_sort_key, ordered
from sympy.testing.pytest import raises
from sympy.abc import x
def test_default_sort_key():
func = lambda x: x
assert sorted([func, x, func], key=default_sort_key) == [func, func, x]
class C:
def __repr__(self):
return 'x.y'
... |
4e4eb669c539153ac6a1acdcb1852b8f982c027c1f0f5a782c496a3618cfa5db | """Tests of tools for setting up interactive IPython sessions. """
from sympy.interactive.session import (init_ipython_session,
enable_automatic_symbols, enable_automatic_int_sympification)
from sympy.core import Symbol, Rational, Integer
from sympy.external import import_module
from sympy.testing.pytest import r... |
f11b4df594206b6a31b1c54f3e4306076f43cfc51bb24312daccd8b6a67af6ed | """Benchmarks for polynomials over Galois fields. """
from sympy.polys.galoistools import gf_from_dict, gf_factor_sqf
from sympy.polys.domains import ZZ
from sympy.core.numbers import pi
from sympy.ntheory.generate import nextprime
def gathen_poly(n, p, K):
return gf_from_dict({n: K.one, 1: K.one, 0: K.one}, p,... |
76c0311a6286000dd3b62e7700f23610ec79c8b2a6ac6d57b1384d01c7d64a52 | """Implementation of :class:`AlgebraicField` class. """
from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.singleton import S
from sympy.polys.domains.characteristiczero import CharacteristicZero
from sympy.polys.domains.field import Field
from sympy.polys.domains.simpledomain import Simple... |
4faa8f364535109e83e419efc8949726fe33789e4c513e512eca2f3249174bd1 | """Implementation of mathematical domains. """
__all__ = [
'Domain', 'FiniteField', 'IntegerRing', 'RationalField', 'RealField',
'ComplexField', 'AlgebraicField', 'PolynomialRing', 'FractionField',
'ExpressionDomain', 'PythonRational',
'GF', 'FF', 'ZZ', 'QQ', 'ZZ_I', 'QQ_I', 'RR', 'CC', 'EX', 'EXRAW',... |
c8553cf85be80f1190f58a3e98a94eaa707ef7572da73fd34f4ccb466c7e8902 | """Implementation of :class:`FiniteField` class. """
from sympy.polys.domains.field import Field
from sympy.polys.domains.modularinteger import ModularIntegerFactory
from sympy.polys.domains.simpledomain import SimpleDomain
from sympy.polys.polyerrors import CoercionFailed
from sympy.utilities import public
from sym... |
2c1508229377cb740f4baa45616c2aa5c6b94a1a160f26996d9e8fc039bf4a60 | """Implementation of :class:`QuotientRing` class."""
from sympy.polys.agca.modules import FreeModuleQuotientRing
from sympy.polys.domains.ring import Ring
from sympy.polys.polyerrors import NotReversible, CoercionFailed
from sympy.utilities import public
# TODO
# - successive quotients (when quotient ideals are impl... |
fd17a782d7f9bcddf0f46240b0315c377c8a6d68d8aa44dbb0f7716ed6e99671 | """Implementation of :class:`PolynomialRing` class. """
from sympy.polys.agca.modules import FreeModulePolyRing
from sympy.polys.domains.characteristiczero import CharacteristicZero
from sympy.polys.domains.compositedomain import CompositeDomain
from sympy.polys.domains.old_fractionfield import FractionField
from sym... |
25502f865194785db0cfc3971cd6191822e47dbf405e5cc3542b2cbca14a8513 | """Implementation of :class:`ModularInteger` class. """
from typing import Any, Dict as tDict, Tuple as tTuple, Type
import operator
from sympy.polys.polyutils import PicklableWithSlots
from sympy.polys.polyerrors import CoercionFailed
from sympy.polys.domains.domainelement import DomainElement
from sympy.utilitie... |
6c73c7766a4544159ef3a4cd312b04ea6e60aef1346d058b5a74464410713294 | """Ground types for various mathematical domains in SymPy. """
import builtins
from sympy.external.gmpy import HAS_GMPY, factorial, sqrt
PythonInteger = builtins.int
PythonReal = builtins.float
PythonComplex = builtins.complex
from .pythonrational import PythonRational
from sympy.core.numbers import (
igcdex as... |
25012a9f545f169197badbd61c8e7737f9436707d23f7d0ccdc3d0e83723edd8 | """Implementation of :class:`Domain` class. """
from typing import Any, Optional, Type
from sympy.core import Basic, sympify
from sympy.core.sorting import default_sort_key, ordered
from sympy.external.gmpy import HAS_GMPY
from sympy.polys.domains.domainelement import DomainElement
from sympy.polys.orderings import ... |
3173897e18eb2c0bbe502c9783a61131801cee7930e9201f918ebafd1286f44b | """Tools for polynomial factorization routines in characteristic zero. """
from sympy.polys.rings import ring, xring
from sympy.polys.domains import FF, ZZ, QQ, ZZ_I, QQ_I, RR, EX
from sympy.polys import polyconfig as config
from sympy.polys.polyerrors import DomainError
from sympy.polys.polyclasses import ANP
from s... |
f5f62c14390493caf418d2233f79c3b3bc1702371051f10d476dd346c6810f1a | """Test sparse polynomials. """
from functools import reduce
from operator import add, mul
from sympy.polys.rings import ring, xring, sring, PolyRing, PolyElement
from sympy.polys.fields import field, FracField
from sympy.polys.domains import ZZ, QQ, RR, FF, EX
from sympy.polys.orderings import lex, grlex
from sympy.... |
184fb6e049d63804156308016f93c9cf2497e8410942cfaadc7445056b179131 | from sympy.polys.rings import ring
from sympy.polys.domains import ZZ, QQ, AlgebraicField
from sympy.polys.modulargcd import (
modgcd_univariate,
modgcd_bivariate,
_chinese_remainder_reconstruction_multivariate,
modgcd_multivariate,
_to_ZZ_poly,
_to_ANP_poly,
func_field_modgcd,
_func_fie... |
0c9bbc09c677c70c7c9e3a630de48eca1cb17aa6589a17dbedd912094fa597b6 | """Tests for Dixon's and Macaulay's classes. """
from sympy.matrices.dense import Matrix
from sympy.polys.polytools import factor
from sympy.core import symbols
from sympy.tensor.indexed import IndexedBase
from sympy.polys.multivariate_resultants import (DixonResultant,
... |
5352c18c0f3cd681b803ca0c5ea65ed2c678da9987ed8a51fd54898c1359cfec | """Tests for tools for constructing domains for expressions. """
from sympy.polys.constructor import construct_domain
from sympy.polys.domains import ZZ, QQ, ZZ_I, QQ_I, RR, CC, EX
from sympy.polys.domains.realfield import RealField
from sympy.polys.domains.complexfield import ComplexField
from sympy.core import (Cat... |
efcc65aefcef38ddb4e3b8ff0de43413c041660e99d64a09ce4b23e6b41a87d0 | """Tests for algorithms for partial fraction decomposition of rational
functions. """
from sympy.polys.partfrac import (
apart_undetermined_coeffs,
apart,
apart_list, assemble_partfrac_list
)
from sympy.core.expr import Expr
from sympy.core.function import Lambda
from sympy.core.numbers import (E, I, Rati... |
40cd58b7484e1c19d44ef767d7868545475f31013d3f6ab51e9cdeb9dfa7f9db | """Tests for dense recursive polynomials' tools. """
from sympy.polys.densebasic import (
dup_normal, dmp_normal,
dup_from_raw_dict,
dmp_convert, dmp_swap,
)
from sympy.polys.densearith import dmp_mul_ground
from sympy.polys.densetools import (
dup_clear_denoms, dmp_clear_denoms,
dup_integrate, d... |
1514c77228e2a862af67543cf002573f6668718160c5ff7693e81713da7be66b | """Tests for high-level polynomials manipulation functions. """
from sympy.polys.polyfuncs import (
symmetrize, horner, interpolate, rational_interpolate, viete,
)
from sympy.polys.polyerrors import (
MultivariatePolynomialError,
)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from... |
beb760dbbdf5f51dd9ae8fe2761415c487a898df4fea65378c7c97ec764a78c5 | """Test sparse rational functions. """
from sympy.polys.fields import field, sfield, FracField, FracElement
from sympy.polys.rings import ring
from sympy.polys.domains import ZZ, QQ
from sympy.polys.orderings import lex
from sympy.testing.pytest import raises, XFAIL
from sympy.core import symbols, E
from sympy.core.n... |
5ce3891421a6c649fedfac816f885af714266dabb22d651cedd97642ddc859a0 | """Tests for the implementation of RootOf class and related tools. """
from sympy.polys.polytools import Poly
from sympy.polys.rootoftools import (rootof, RootOf, CRootOf, RootSum,
_pure_key_dict as D)
from sympy.polys.polyerrors import (
MultivariatePolynomialError,
GeneratorsNeeded,
PolynomialError,... |
0c10fb075eb9a760806d839ea6c77dfca5fbc50c94f2ab888c14862c6797831c | """Tests for user-friendly public interface to polynomial functions. """
import pickle
from sympy.polys.polytools import (
Poly, PurePoly, poly,
parallel_poly_from_expr,
degree, degree_list,
total_degree,
LC, LM, LT,
pdiv, prem, pquo, pexquo,
div, rem, quo, exquo,
half_gcdex, gcdex, in... |
e0fab9189c1285cef987cc303667735b7a1aca4900c3a5b851572376c7984ed2 | from sympy.polys.galoistools import (
gf_crt, gf_crt1, gf_crt2, gf_int,
gf_degree, gf_strip, gf_trunc, gf_normal,
gf_from_dict, gf_to_dict,
gf_from_int_poly, gf_to_int_poly,
gf_neg, gf_add_ground, gf_sub_ground, gf_mul_ground,
gf_add, gf_sub, gf_add_mul, gf_sub_mul, gf_mul, gf_sqr,
gf_div, g... |
bc1103082f3671c1afc6c113479c6bdf243bd07a3f1d4aafd50f7bd2f59fe383 | """Tests for functions for generating interesting polynomials. """
from sympy.core.add import Add
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.ntheory.generate import prime
from sympy.polys.domains.integerring import ZZ
from sympy.polys.polytools import Pol... |
dd60d11ff6707652a78113572c8bc3d2df05b0860b157acaf66a7b69ad74f3e0 | """Tests for efficient functions for generating orthogonal polynomials. """
from sympy.core.numbers import Rational as Q
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.polys.polytools import Poly
from sympy.testing.pytest import raises
from sympy.polys.orthopolys import (
jaco... |
ae8ebe174bc9ad1e3ab32979434cee5df5d0cc4444b6591601e455f71244df56 | from sympy.core.symbol import var
from sympy.polys.polytools import (pquo, prem, sturm, subresultants)
from sympy.matrices import Matrix
from sympy.polys.subresultants_qq_zz import (sylvester, res, res_q, res_z, bezout,
subresultants_sylv, modified_subresultants_sylv,
subresultants_bezout, modified_subresulta... |
cfd0d476df0ade56249b82322c7d42bfe4ca7bbe873fe13269191956c7d66fa5 | """Tests for options manager for :class:`Poly` and public API functions. """
from sympy.polys.polyoptions import (
Options, Expand, Gens, Wrt, Sort, Order, Field, Greedy, Domain,
Split, Gaussian, Extension, Modulus, Symmetric, Strict, Auto,
Frac, Formal, Polys, Include, All, Gen, Symbols, Method)
from sym... |
bdca13b1c1910756de7fd5217251dcb0a9c1269f5b69ec6343e7a75ead7ea4a3 | """Tests for dense recursive polynomials' basic tools. """
from sympy.polys.densebasic import (
dup_LC, dmp_LC,
dup_TC, dmp_TC,
dmp_ground_LC, dmp_ground_TC,
dmp_true_LT,
dup_degree, dmp_degree,
dmp_degree_in, dmp_degree_list,
dup_strip, dmp_strip,
dmp_validate,
dup_reverse,
dup... |
a65d95acdfddd9718e547bef02768d43391d153750823b7d78f828e35b28051b | from sympy.testing.pytest import raises
from sympy.polys.polymatrix import PolyMatrix
from sympy.polys import Poly
from sympy.core.singleton import S
from sympy.matrices.dense import Matrix
from sympy.polys.domains.integerring import ZZ
from sympy.polys.domains.rationalfield import QQ
from sympy.abc import x, y
de... |
c24be3ccd3f5207f9276e6cd939249ece59c63eccd17acf7b77da47e9f4d72cd | """Tests for tools for manipulation of rational expressions. """
from sympy.polys.rationaltools import together
from sympy.core.mul import Mul
from sympy.core.numbers import Rational
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elem... |
42cdd0425d166264e7918136a2f4f174b7aee8362758efcea1498bc0d0d9cd2c | """Tests for useful utilities for higher level polynomial classes. """
from sympy.core.mul import Mul
from sympy.core.numbers import (Integer, pi)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import e... |
7baa7375b9cfe2831c501776294b796644119c3730e5650e2ee05b82bd503a16 | """Tests for algorithms for computing symbolic roots of polynomials. """
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, Wild, symbols)
from sympy.functions.elementary.complexes import (conjugate, im, re)
from sympy.functions.elementary.exponen... |
47c8ff36e6c8c159be8a3e1d98b669e2fc6306c4dbb70fdfb1965d2765fb8a28 | """Computational algebraic field theory. """
__all__ = [
'AlgebraicNumber',
'minpoly', 'minimal_polynomial', 'primitive_element',
'field_isomorphism',
'to_number_field', 'isolate',
]
from sympy.core.numbers import AlgebraicNumber
from .minpoly import minpoly, minimal_polynomial, primitive_element
... |
091b85e3b56b2394ad5ae8364465c265d2eefce8b5611e86ac4ca0526e567d6d | """Algebraic numbers -- forms of expression, and isolation."""
from sympy.core.numbers import AlgebraicNumber
from sympy.core.sympify import sympify
from sympy.polys.numberfields.isomorphism import field_isomorphism
from sympy.polys.numberfields.minpoly import minpoly, primitive_element
from sympy.polys.polyerrors imp... |
cec5d59081b2c1f1a9f34b3e22817be98d1e9ecc9eff34383e7a0506c1dd4b33 | """Isomorphisms of number fields."""
from sympy.core.add import Add
from sympy.core.numbers import AlgebraicNumber
from sympy.core.singleton import S
from sympy.core.sympify import sympify
from sympy.ntheory import sieve
from sympy.polys.polytools import Poly, factor_list
from sympy.utilities import public
from mpmat... |
6d54a6888c224c9abd5fc379448230a706b6ec7c08c8855ae4f8ba7313f8adc6 | """Minimal polynomials for algebraic numbers."""
from functools import reduce
from sympy.core.add import Add
from sympy.core.function import expand_mul, expand_multinomial
from sympy.core.mul import Mul
from sympy.core import (GoldenRatio, TribonacciConstant)
from sympy.core.numbers import (I, Rational, pi)
from symp... |
f2b87a890b76eb3174a8acc795fa865ca6732ae198e98e6df6104d5461bdbf93 | """Computations with ideals of polynomial rings."""
from sympy.polys.polyerrors import CoercionFailed
from sympy.polys.polyutils import IntegerPowerable
class Ideal(IntegerPowerable):
"""
Abstract base class for ideals.
Do not instantiate - use explicit constructors in the ring class instead:
>>> f... |
5190679afb104c746449519db2dea792ca7d6b4ed9603eb9780ae32fdd67dfe4 | """
Computations with modules over polynomial rings.
This module implements various classes that encapsulate groebner basis
computations for modules. Most of them should not be instantiated by hand.
Instead, use the constructing routines on objects you already have.
For example, to construct a free module over ``QQ[x... |
81a30d57dea9294b981d9f0177b40eb36ec9d486db2609048f259c4cb7bc1852 | """
Computations with homomorphisms of modules and rings.
This module implements classes for representing homomorphisms of rings and
their modules. Instead of instantiating the classes directly, you should use
the function ``homomorphism(from, to, matrix)`` to create homomorphism objects.
"""
from sympy.polys.agca.m... |
be29a98b674d62562940aab6dc60ce9312ed0d898f9a3abc061645570f54492d | '''Functions returning normal forms of matrices'''
from collections import defaultdict
from .domainmatrix import DomainMatrix
from .exceptions import DMDomainError, DMShapeError
from sympy.ntheory.modular import symmetric_residue
from sympy.polys.domains import QQ, ZZ
# TODO (future work):
# There are faster algor... |
65a3c9322f25db6777177aee752e0dab34add31c316ecdeec27430961851f75a | """
sympy.polys.matrices package.
The main export from this package is the DomainMatrix class which is a
lower-level implementation of matrices based on the polys Domains. This
implementation is typically a lot faster than SymPy's standard Matrix class
but is a work in progress and is still experimental.
"""
from .d... |
e803216413d8641dc183ac040f3d124f7e2ef9bb059d74945bf14bed37f709f5 | """
Module for the DomainMatrix class.
A DomainMatrix represents a matrix with elements that are in a particular
Domain. Each DomainMatrix internally wraps a DDM which is used for the
lower-level operations. The idea is that the DomainMatrix class provides the
convenience routines for converting between Expr and the ... |
7d3668e517d4bdd3ff3e149f5295b50674e614eea54edf63001194370825b5af | """
Module to define exceptions to be used in sympy.polys.matrices modules and
classes.
Ideally all exceptions raised in these modules would be defined and documented
here and not e.g. imported from matrices. Also ideally generic exceptions like
ValueError/TypeError would not be raised anywhere.
"""
class DMError(... |
18effb8de988c375172f49b625346d6669d7ae7faae2ca218d5a2bcc287ef69f | """
Module for the SDM class.
"""
from operator import add, neg, pos, sub, mul
from collections import defaultdict
from sympy.utilities.iterables import _strongly_connected_components
from .exceptions import DMBadInputError, DMDomainError, DMShapeError
from .ddm import DDM
class SDM(dict):
r"""Sparse matrix... |
bc60a28810f8bf158f9a54f533167a56aac11fe5962940a99192b5e445fc3222 | """
Module for the ddm_* routines for operating on a matrix in list of lists
matrix representation.
These routines are used internally by the DDM class which also provides a
friendlier interface for them. The idea here is to implement core matrix
routines in a way that can be applied to any simple list representation... |
a9018cf62b23c6066311f0808219d6b2275b13a4d672dbb556a80b6b3a070742 | """
Module for the DDM class.
The DDM class is an internal representation used by DomainMatrix. The letters
DDM stand for Dense Domain Matrix. A DDM instance represents a matrix using
elements from a polynomial Domain (e.g. ZZ, QQ, ...) in a dense-matrix
representation.
Basic usage:
>>> from sympy import ZZ, QQ... |
058a2ad42a88efa4434a6d3141da75bfb0efd67e6c75c99eb3e6ffcbf01f5bed | """Tests for quotient rings."""
from sympy.polys.domains.integerring import ZZ
from sympy.polys.domains.rationalfield import QQ
from sympy.abc import x, y
from sympy.polys.polyerrors import NotReversible
from sympy.testing.pytest import raises
def test_QuotientRingElement():
R = QQ.old_poly_ring(x)/[x**10]
... |
ad1fc928c575ff4feb7005a75d99bdb1a3ba65c0cb87e4e172dc49e643367faf | """Tests for classes defining properties of ground domains, e.g. ZZ, QQ, ZZ[x] ... """
from sympy.core.numbers import (E, Float, I, Integer, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.f... |
3b758f392c81517a737129437516b0c5ad881046b744b7e4a17eed36ae3d79df | """Tests on algebraic numbers. """
from sympy.core.containers import Tuple
from sympy.core.numbers import (AlgebraicNumber, I, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys.polytools import Poly
from sympy.te... |
e4ea102c942bcdc09708e074cda1c2774901f993d0194df6a468cb8f8aafb586 | """Tests for minimal polynomials. """
from sympy.core.function import expand
from sympy.core import (GoldenRatio, TribonacciConstant)
from sympy.core.numbers import (AlgebraicNumber, I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import exp
from sympy.functions.elem... |
bb033ce2c807d9aeb78bc5791edb06ddd8be458f5e9f4d9f33cd053f37b4746f | """Tests for numberfield isomorphisms. """
from sympy.core.numbers import (AlgebraicNumber, I, Rational)
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.testing.pytest import raises
from sympy.polys.numberfields.isomorphism import (
is_isomorphism_possible,
... |
8b720740d5d007214c0af8e3c9dfe1c302520a2523d33d6b4704bd5852b60057 | from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.polys import QQ, ZZ
from sympy.polys.polytools import Poly
from sympy.polys.polyerrors import NotInvertible
from sympy.polys.agca.extensions import FiniteExtension
from sympy.polys.domainmatrix import Domain... |
1dd7e673174456e7046ed7e6cd5abc8bfd701a88d3e5be431395487db4ccc779 | """Test modules.py code."""
from sympy.polys.agca.modules import FreeModule, ModuleOrder, FreeModulePolyRing
from sympy.polys import CoercionFailed, QQ, lex, grlex, ilex, ZZ
from sympy.abc import x, y, z
from sympy.testing.pytest import raises
from sympy.core.numbers import Rational
def test_FreeModuleElement():
... |
9b484599c4f3bd9f2c65b6e759e10dc332b2b9fa44f735b0651f96088e247695 | """Tests for homomorphisms."""
from sympy.core.singleton import S
from sympy.polys.domains.rationalfield import QQ
from sympy.abc import x, y
from sympy.polys.agca import homomorphism
from sympy.testing.pytest import raises
def test_printing():
R = QQ.old_poly_ring(x)
assert str(homomorphism(R.free_module(1... |
4f595865e5bed0dc03c43386e9924bafe38809fc58db06b47d51d5d95e845d29 | """
Tests for the sympy.polys.matrices.eigen module
"""
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.matrices.dense import Matrix
from sympy.polys.agca.extensions import FiniteExtension
from sympy.polys.domains import QQ
from sympy.polys.polytools import Poly... |
ccfb1a09cd794954944a4589dfcdffcff96bc4dbcecda17681a0e95cc3ce1bfa | from sympy.testing.pytest import raises
from sympy.core.symbol import Symbol
from sympy.polys.matrices.normalforms import (
invariant_factors, smith_normal_form,
hermite_normal_form, _hermite_normal_form, _hermite_normal_form_modulo_D)
from sympy.polys.domains import ZZ, QQ
from sympy.polys.matrices import Dom... |
ded1618e40356a513cdbb422c3d9803e55a44a057749eb2ba9e87e3711d7b00e | from sympy.testing.pytest import raises
from sympy.external.gmpy import HAS_GMPY
from sympy.polys import ZZ, QQ
from sympy.polys.matrices.ddm import DDM
from sympy.polys.matrices.exceptions import (
DMShapeError, DMNonInvertibleMatrixError, DMDomainError,
DMBadInputError)
def test_DDM_init():
items = [[... |
74706f65858ce87c420d9587d020f1f38d3a2d9ef588676c84cb6f1993df08ac | from sympy.testing.pytest import raises
from sympy.core.numbers import Integer, Rational
from sympy.core.singleton import S
from sympy.functions import sqrt
from sympy.matrices.dense import Matrix
from sympy.polys.domains import FF, ZZ, QQ, EXRAW
from sympy.polys.matrices.domainmatrix import DomainMatrix, DomainScal... |
cc7ba81798f067a637fb594c8d2f3df58d4453dced5800b16eaf923bb2246d13 | #
# test_linsolve.py
#
# Test the internal implementation of linsolve.
#
from sympy.testing.pytest import raises
from sympy.core.numbers import I
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.abc import x, y, z
from sympy.polys.matrices.linsolve import _linsolve
from sympy.pol... |
220fd227cea9a20babf4011f71eb4efcbd357f2d561617be13d83d9e0553971b | from sympy.testing.pytest import raises
from sympy.polys import ZZ, QQ
from sympy.polys.matrices.ddm import DDM
from sympy.polys.matrices.dense import (
ddm_transpose,
ddm_iadd, ddm_isub, ddm_ineg, ddm_imatmul, ddm_imul, ddm_irref,
ddm_idet, ddm_iinv, ddm_ilu, ddm_ilu_split, ddm_ilu_solve, ddm... |
1f4a0d664366c293fc8ba529cac9e40fbc9abded04dd853767c74a1a86d26ce0 | """
Tests for the basic functionality of the SDM class.
"""
from itertools import product
from sympy.core.singleton import S
from sympy.external.gmpy import HAS_GMPY
from sympy.testing.pytest import raises
from sympy.polys.domains import QQ, ZZ, EXRAW
from sympy.polys.matrices.sdm import SDM
from sympy.polys.matrice... |
137b9282b81b4d1fc67ab8b41bad35f74dbbcafd83f3bc9b6a07dacfe82588a2 | from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.logic.boolalg import And
from sympy.core.symbol import Str
from sympy.unify.core import Compound, Variable
from sympy.unify.usympy import (deconstruct, construc... |
e1396072157a356b817a4271f511a5323c77f94c289f38086170f2b5beec0515 | from sympy.unify.core import Compound, Variable, CondVariable, allcombinations
from sympy.unify import core
a,b,c = 'a', 'b', 'c'
w,x,y,z = map(Variable, 'wxyz')
C = Compound
def is_associative(x):
return isinstance(x, Compound) and (x.op in ('Add', 'Mul', 'CAdd', 'CMul'))
def is_commutative(x):
return isins... |
613ef40d51826be6803b3a08e19b654d959bbd3451d26d1fb19489a5e4469328 | from sympy.unify.rewrite import rewriterule
from sympy.core.basic import Basic
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.trigonometric import sin
from sympy.abc import x, y
from sympy.strategies.rl import rebuild
from sympy.assumptions import Q
p, q = Symbo... |
06deddc6490faeffb0f789e09c5974cff26faca4129c79362ba61e490a2256cf | #!/usr/bin/env python
"""
Import diagnostics. Run bin/diagnose_imports.py --help for details.
"""
from typing import Dict as tDict
if __name__ == "__main__":
import sys
import inspect
import builtins
import optparse
from os.path import abspath, dirname, join, normpath
this_file = abspath(_... |
8f2bd4c0c572a6af4ed4c04d07a625e279fb403b30148bdcf4c8860663a6e7a6 | # coding=utf-8
from os import walk, sep, pardir
from os.path import split, join, abspath, exists, isfile
from glob import glob
import re
import random
import ast
from sympy.testing.pytest import raises
from sympy.testing.quality_unicode import _test_this_file_encoding
# System path separator (usually slash or backsla... |
06cdac7a4743272c3fc2b5291bbbd94061f4cb44b80b801bc464a9794ffc0b6b | from sympy.vector.vector import Vector
from sympy.vector.coordsysrect import CoordSys3D
from sympy.vector.functions import express, matrix_to_vector, orthogonalize
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneo... |
39f29aa45f40fe0f57e89c6061cd147f1221c17cd1111cda8fe1228d008938dc | from sympy.core.numbers import pi
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.vector.coordsysrect import CoordSys3D
from sympy.vector.parametricregion import ParametricRegion, parametric_region_list
from sympy.geometry import Point, Segment, Curve, Ellipse, Line, Parabola, Polygon
from sy... |
d22c501b010976d6420652f4c183e4cd4d036977b9eed6bb34559039a2ae5620 | from sympy.core import Rational, S
from sympy.simplify import simplify, trigsimp
from sympy.core.function import (Derivative, Function, diff)
from sympy.core.numbers import pi
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric im... |
5f8233bf2b9e55c00dac9954eff69b07ee06868804f9ba2942aa4195e196e5fe | from sympy.core.numbers import pi
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.testing.pytest import raises
from sympy.vector.coordsysrect import CoordSys3D
from sympy.vector.integrals import Param... |
b1f504fd5abd1ff6a0bd54c05dcb4d9cc483febd7ad334c66ad8530654fb2b59 | from sympy.core.numbers import pi
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.immutable import ImmutableDenseMatrix as Matrix
from sympy.simplify.simplify import simplify
from sympy.vector import (CoordSys3D, Vector, Dyadic,
... |
33093d32269807bd6d3fca3359c9a257aba72821ec3fba0fa46f3607acb0cfd7 | from sympy.core.function import Derivative
from sympy.vector.vector import Vector
from sympy.vector.coordsysrect import CoordSys3D
from sympy.simplify import simplify
from sympy.core.symbol import symbols
from sympy.core import S
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.vector.vector i... |
3213efc8baf7b29a92969dc5ef9281c3ed0f49493cbfecfa9dce2ec2cd17df98 | from sympy.testing.pytest import raises, warns_deprecated_sympy
from sympy.vector.coordsysrect import CoordSys3D, CoordSysCartesian
from sympy.vector.scalar import BaseScalar
from sympy.core.function import expand
from sympy.core.numbers import pi
from sympy.core.symbol import symbols
from sympy.functions.elementary.hy... |
4bf4cf4763d39c062bc6a23db928858fa67f4634ff8b0368a32e9bc8edaa0fbe | from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.abc import x, y, z, s, t
from sympy.sets import FiniteSet, EmptySet
from sympy.geometry import Point
from sympy.vector import ImplicitRegion
from sympy.testing.pytest import raise... |
29ec545af73f370a761d6ac46e1c623bb31e685c5895c92ba7ffd393083ec265 | from sympy.vector import CoordSys3D, Gradient, Divergence, Curl, VectorZero, Laplacian
from sympy.printing.repr import srepr
R = CoordSys3D('R')
s1 = R.x*R.y*R.z # type: ignore
s2 = R.x + 3*R.y**2 # type: ignore
s3 = R.x**2 + R.y**2 + R.z**2 # type: ignore
v1 = R.x*R.i + R.z*R.z*R.j # type: ignore
v2 = R.x*R.i + R... |
e4170f6752b2c7683aaadae44f23168acf79945a5c090a19a56bf8158bb2d042 | # -*- coding: utf-8 -*-
from sympy.core.function import Function
from sympy.integrals.integrals import Integral
from sympy.printing.latex import latex
from sympy.printing.pretty import pretty as xpretty
from sympy.vector import CoordSys3D, Vector, express
from sympy.abc import a, b, c
from sympy.testing.pytest import X... |
41171fa03b09b42b5cbe315bd7c841107ba9c9c2e0013d8ea2117a1a93528724 | from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (asin, cos, sin)
from sympy.geometry import Line, Point, Ray, Segment, Point3D, L... |
293f0b1d941134a5d8731b76a88ed194da1e5ffed1fb8442b2b5999b92764bfa | from sympy.core.numbers import (Float, Rational, oo, pi)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (acos, cos, sin)
from sympy.simp... |
bef396ac5ac9b8d00581bad5875c0f63de28f87fbce455a59c8cb2a362acb7d7 | from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.geometry import Circle, Line, Point, Polygon, Segment
from sympy.sets import FiniteSet, Union, Intersection, EmptySet
def test_booleans():
""" test basic unions and intersections """
half = S.Half
p1, p2, p3, p4 = map(P... |
9bfb3e030bcc3a32ce036be8ca63df37d92b8cfa37f67b45a380a6097787f646 | 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 (Symbol, symbols)
from sympy.functions.elementary.complexes import Abs
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigono... |
c107aa355bc4c4a55a82e4bc642e395d4a445a38bc55456ededa9b98fa79615a | from sympy.core.function import (Derivative, Function)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.geometry import Point, Point2D, Line, Polygon, Segment, convex_hull,\... |
5e94ee364151e7786c1b6308280434a8039184b31923ede7b1ecc2bdb60b5dbc | from sympy.core.basic import Basic
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.geometry import Line, Point, Point2D, Point3D, Line3D, P... |
a23da8ae7cd5d2ac5cc955e736c86680c9add76fa0451605980ced99341750db | from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.geometry import (Circle, Ellipse, Point, Line, Parabola,
Polygon, Ray, RegularPolygon, Segment, Triangle, Plane, Curve)
from sympy.geometry.entity import scale, GeometryEntity
from sympy.... |
da0c5f40dfe612b972daa394c1c789010d738f7bbbe558ee21a35d95a4b75b98 | from sympy.core.numbers import (Float, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import Abs
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (acos, cos, sin)... |
0950fcdd9d5382941ca750197f734340d20736c48894f12fc66603a13a40d69a | from sympy.core.numbers import (Rational, oo)
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.geometry.ellipse import (Circle, Ellipse)
from sympy.geometry.line import (Lin... |
c4be2e45601a978997671b9085cb3d40e86ce8c85e09b14dc87d5ab2afdad884 | from sympy.core.containers import Tuple
from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.hyperbolic import asinh
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.geometry import Curve, Lin... |
1186eaa2302d6107416866a1584bc67bfc89821aeb73e6624e3c46ae3747cf27 | from sympy.holonomic import (DifferentialOperator, HolonomicFunction,
DifferentialOperators, from_hyper,
from_meijerg, expr_to_holonomic)
from sympy.holonomic.recurrence import RecurrenceOperators, HolonomicSequence
from sympy.core import EulerGamma
from sympy.c... |
1c46c0df20a7230e080c5575adbdc68e63384820c364beda611943ecf5ae4058 | from sympy.holonomic.recurrence import RecurrenceOperators, RecurrenceOperator
from sympy.core.symbol import symbols
from sympy.polys.domains.rationalfield import QQ
def test_RecurrenceOperator():
n = symbols('n', integer=True)
R, Sn = RecurrenceOperators(QQ.old_poly_ring(n), 'Sn')
assert Sn*n == (n + 1)*S... |
e5e3ecbb9899e5b2795891ce15088a40deead4035f15bd10129a8d73079c2f09 | from sympy.external import import_module
lfortran = import_module('lfortran')
if lfortran:
from sympy.codegen.ast import (Variable, IntBaseType, FloatBaseType, String,
Return, FunctionDefinition, Assignment)
from sympy.core import Add, Mul, Integer, Float
from sympy.core... |
c5cf8ab60e2f6247b8a86d83718746520f780965d441b257ae722c189ddd3beb | from sympy.external import import_module
import os
cin = import_module('clang.cindex', import_kwargs = {'fromlist': ['cindex']})
"""
This module contains all the necessary Classes and Function used to Parse C and
C++ code into SymPy expression
The module serves as a backend for SymPyExpression to parse C code
It is a... |
ddfbb8c7cc1e3320cbab74826383d74c001d1f714cfa6dcc36efabe24eb436f9 | from sympy.parsing.sym_expr import SymPyExpression
from sympy.testing.pytest import raises
from sympy.external import import_module
lfortran = import_module('lfortran')
cin = import_module('clang.cindex', import_kwargs = {'fromlist': ['cindex']})
if lfortran and cin:
from sympy.codegen.ast import (Variable, IntBa... |
4866dac2b2786bbf344c900554c38d73b63763c558815aac207c5519a89c6f11 | from sympy.testing.pytest import raises
from sympy.parsing.sym_expr import SymPyExpression
from sympy.external import import_module
lfortran = import_module('lfortran')
if lfortran:
from sympy.codegen.ast import (Variable, IntBaseType, FloatBaseType, String,
Return, FunctionDefi... |
515ae4bd00b73513153d471caac008cec0100d3ae505a6d7d019a40510533b87 | from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.parsing.ast_parser import parse_expr
from sympy.testing.pytest import raises
from sympy.core.sympify import SympifyError
def test_parse_expr():
a, b = symbols('a, b')
# tests issue_16393
parse_expr('a + b', {}) == a + b
... |
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