hash stringlengths 64 64 | content stringlengths 0 1.51M |
|---|---|
b948cb71f2ab7d6f84041e8df687c4489830e3f41a70a58dd5f2dad1eb67ea26 | """Tests for OO layer of several polynomial representations. """
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys.domains import ZZ, QQ
from sympy.polys.polyclasses import DMP, DMF, ANP
from sympy.polys.polyerrors import (CoercionFailed, ExactQuotientFailed,
... |
b18aa7b9261b3995024959e8365e45f353cd25f9cf4681f352d13c06ba5cd892 | """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... |
690066feb80ac631ce09392d39827e688e42a5be7d201bd6262c990a8c1c33e2 | """Utilities for algebraic number theory. """
from sympy.core.sympify import sympify
from sympy.ntheory.factor_ import factorint
from sympy.polys.domains.rationalfield import QQ
from sympy.polys.domains.integerring import ZZ
from sympy.polys.matrices.exceptions import DMRankError
from sympy.polys.numberfields.minpoly ... |
372e0f8ccaedc7bd24eafc159a2bda47086f77842a923edc162b7dec1ceb6f49 | """Prime ideals in number fields. """
from sympy.core.expr import Expr
from sympy.polys.polytools import Poly
from sympy.polys.domains.finitefield import FF
from sympy.polys.domains.rationalfield import QQ
from sympy.polys.domains.integerring import ZZ
from sympy.polys.matrices.domainmatrix import DomainMatrix
from sy... |
a14bab27178b370c66d1bdccb10fe302a9fee42d1a21b7e6e9731acc218105fe | """Computational algebraic field theory. """
__all__ = [
'minpoly', 'minimal_polynomial',
'field_isomorphism', 'primitive_element', 'to_number_field',
'isolate',
'round_two',
'prime_decomp', 'prime_valuation',
]
from .minpoly import minpoly, minimal_polynomial
from .subfield import field_isom... |
5067abae7e27a5df6b9a7dc23f671bafc9415b9a364754d0eaf738e3261d1d1d | r"""Modules in number fields.
The classes defined here allow us to work with finitely generated, free
modules, whose generators are algebraic numbers.
There is an abstract base class called :py:class:`~.Module`, which has two
concrete subclasses, :py:class:`~.PowerBasis` and :py:class:`~.Submodule`.
Every module is ... |
5f7e8bed0e37a27b3db368b96efa7f3551a0bf71715d96b14de3b79862d0124e | """Computing integral bases for number fields. """
from sympy.polys.polytools import Poly
from sympy.polys.domains.integerring import ZZ
from sympy.polys.domains.rationalfield import QQ
from sympy.polys.polyerrors import CoercionFailed
from sympy.utilities.decorator import public
from .modules import ModuleEndomorphis... |
20ddfa3e21ef5af1f960eb56994d041d23e22a11abc8f7b370e6b075099eb0ca | """Special exception classes for numberfields. """
class ClosureFailure(Exception):
r"""
Signals that a :py:class:`ModuleElement` which we tried to represent in a
certain :py:class:`Module` cannot in fact be represented there.
Examples
========
>>> from sympy.polys import Poly, cyclotomic_po... |
10ffd4685f49b2ec4ae814fd2f27b747e717952797df0ddfc89efb10fe4433e4 | """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... |
b015e971fd638d557cfe6da6f9d2ed77214c0b5a71709d7ce967d0655a4091ea | r"""
Functions in ``polys.numberfields.subfield`` solve the "Subfield Problem" and
allied problems, for algebraic number fields.
Following Cohen (see [Cohen93]_ Section 4.5), we can define the main problem as
follows:
* **Subfield Problem:**
Given two number fields $\mathbb{Q}(\alpha)$, $\mathbb{Q}(\beta)$
via t... |
3407fa997f63577d0dd2a41bd70292c105a1ba777528fae9da9f5acc7593d560 | '''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... |
2ff8d680564f0255d289205adc60c3d481cd2a0159c95803030538ad52311bf1 | """
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 ... |
e064e8be355f7416dd1ecba423ff696bb433e9a26b253374f8b07b82b0d63a6d | #
# sympy.polys.matrices.linsolve module
#
# This module defines the _linsolve function which is the internal workhorse
# used by linsolve. This computes the solution of a system of linear equations
# using the SDM sparse matrix implementation in sympy.polys.matrices.sdm. This
# is a replacement for solve_lin_sys in sy... |
47dfcb80a5c33fecb3bb8af7f45fb0245dd7a0bf9779c6de69f68f9e0d510e36 | """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... |
6a217adeea09c67887ff2521882bf1842008c235f728eac4b5a76eb5f9574ed8 | from sympy.abc import theta, x
from sympy.core import S
from sympy.core.numbers import AlgebraicNumber
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys import Poly, cyclotomic_poly
from sympy.polys.domains import QQ
from sympy.polys.matrices import DomainMatrix, DM
from sympy.polys.numberfield... |
4f761f168b9764d7011b601f2c443bed4ab2fbf4d3b9f19352ccac9b350736e0 | from sympy.abc import x
from sympy.core.numbers import (I, Rational)
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys import Poly, cyclotomic_poly
from sympy.polys.domains import FF, QQ
from sympy.polys.matrices import DomainMatrix, DM
from sympy.polys.matric... |
334bd92019e33c11d5e2f1549cf0482daaa247f7204ae539d24141fafee5d600 | """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.po... |
78232577633f6ba451b8ff9721454290abc25aa71b80a7f677eb2a1c4b479aca | """Tests for the subfield problem and allied problems. """
from sympy.core.numbers import (AlgebraicNumber, I, Rational)
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys.numberfields.subfield import (
is_isomorphism_possible,
field_isomorphism_pslq,
... |
f5fba98aeaccd7309531e4d51c3113af43c8d3c6508638a629ede78d5a128f06 | """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.power import Pow
from sympy.core.singleton import S
from sympy.functions.elementary.exponential imp... |
fe646817e43e8ec5785cb3836da536f8023bba5d37375cf70325a088c7992f82 | from sympy import QQ, ZZ, S
from sympy.abc import x, theta
from sympy.core.mul import prod
from sympy.ntheory import factorint
from sympy.ntheory.residue_ntheory import n_order
from sympy.polys import Poly, cyclotomic_poly
from sympy.polys.matrices import DomainMatrix
from sympy.polys.numberfields.basis import round_tw... |
f9a2c8d9f29915c998ff9052de166dfefd6e3f4704a835c6da08d9ee5bbc1892 | from sympy.abc import x, zeta
from sympy.polys import Poly, cyclotomic_poly
from sympy.polys.domains import FF, QQ, ZZ
from sympy.polys.matrices import DomainMatrix, DM
from sympy.polys.numberfields.exceptions import (
ClosureFailure, MissingUnityError
)
from sympy.polys.numberfields.modules import (
Module, Mo... |
7f197c87be05461dab3dc964fe7c0f10bc6448c9f799bbfc51da7ad89255df69 | 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... |
22345aeae09f02ed619ba5eb3757d451a000d86795c62e4881569fe2f65ce0b9 | 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... |
79b983fa003c523d0a7c869acd5c834018b0c28f0b34e4a0d3303f40538548b3 | from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
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.un... |
06003cce6773f4dc3e5dbbb8fb0dd4001796ca9a8bbe6cbd5732fbe3812662d1 | 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... |
20244bb5d53b9d764e249a327d095f6b4bae8be5008887531a8be591dae77801 | #!/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(_... |
897f53241dfa5ce602c65bc36edc6ba19595258e395fdc289616274c2dae4a81 | # 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... |
42044f9ccac264933a20658971b5da9698bc4cf5b32308655b0dbbf3faceb5ce | 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... |
055461aebfc9780b022affc4fa40368da5c1f195d37e3ee790d813e68f973897 | 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... |
7f547e04bffadd505b7345e0117fcb63357fdceba961de21a79473464e9d01b2 | 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,
... |
e1222143b9b5ec109696d564af66c8d0fc35046b26c7e5aade00f71c60d66a23 | 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... |
9c740874632955301e2a2fda731d34581533224b0cf04753ec9e857a13cdc795 | # -*- 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... |
cbabd831dea0bd8a12c848840624712489639d01966d3893101627a2e07ed12f | 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,\... |
32488e54032279bae2dda40a5c3040e2a71f1da05fc5c8befe703ddfad22bd62 | 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... |
d2904a766448113ab4a49623c518f7e01d23fa8e7a7f88aacc9cbd2786ee53b5 | 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.... |
6bc1ada859b24b53778667f81b8e6f5665c534654208f30a4d0b4f72a92113ac | 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)... |
80f1d2d8c87d810a4b6d26021d998d715a0b46fda4e3fd0726f82ed9c138d535 | 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
assert parse_expr('a + b', {}) == a ... |
bd809310bb6fee4e303af0f0b6a612453d1b138019de3eaffc66386e8acd19c7 | # -*- coding: utf-8 -*-
import sys
from sympy.assumptions import Q
from sympy.core import Symbol, Function, Float, Rational, Integer, I, Mul, Pow, Eq
from sympy.functions import exp, factorial, factorial2, sin
from sympy.logic import And
from sympy.series import Limit
from sympy.testing.pytest import raises, skip
f... |
dd9d9ca24832586d32d17c51c37aa2e1388695a44ec07e2c8ebdb7478b0964d7 | from typing import Type
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.expr import Expr
from sympy.core.function import expand
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.symbol import Symbol
from sympy.polys.polyroots import roots
from sympy.polys... |
1aada369d06caa5c7204e51a96b8933eb493912f928f1204549bcd3e2048c7a9 | from collections import deque
from sympy.core.random import randint
from sympy.external import import_module
from sympy.core.basic import Basic
from sympy.core.mul import Mul
from sympy.core.numbers import Number
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.physics.quantum.represent i... |
1111f5291bbbd8d787d6c73e495cc59e699271534c0d5bbf942c465f1b3332a2 | """Dirac notation for states."""
from sympy.core.cache import cacheit
from sympy.core.containers import Tuple
from sympy.core.expr import Expr
from sympy.core.function import Function
from sympy.core.numbers import oo
from sympy.core.singleton import S
from sympy.functions.elementary.complexes import conjugate
from sy... |
74ea6d4d5f7625c13c9c9f69dfdb8dee13d9a8893fa8d66e6beaac346fcebf80 | """An implementation of gates that act on qubits.
Gates are unitary operators that act on the space of qubits.
Medium Term Todo:
* Optimize Gate._apply_operators_Qubit to remove the creation of many
intermediate Qubit objects.
* Add commutation relationships to all operators and use this in gate_sort.
* Fix gate_s... |
aa68191d3f4e2d6284e6b37ee0341a954ec6bd150fb7c996c80751940eb87e4f | """Logic for representing operators in state in various bases.
TODO:
* Get represent working with continuous hilbert spaces.
* Document default basis functionality.
"""
from sympy.core.add import Add
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.numbers import I
from sympy.core.powe... |
fe483cbb0233847736516bf134427015b76e7732475dff03fa11b5875df946bb | """Qubits for quantum computing.
Todo:
* Finish implementing measurement logic. This should include POVM.
* Update docstrings.
* Update tests.
"""
import math
from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.power import Pow
from sympy.core.singlet... |
17d86ebd1fa48c5f5ea1f9dffe79cdfe4a99cf498e4896bb7504ef67de3809d8 | """
qasm.py - Functions to parse a set of qasm commands into a SymPy Circuit.
Examples taken from Chuang's page: http://www.media.mit.edu/quanta/qasm2circ/
The code returns a circuit and an associated list of labels.
>>> from sympy.physics.quantum.qasm import Qasm
>>> q = Qasm('qubit q0', 'qubit q1', 'h q0', 'cnot ... |
54ba9ea173c7ba28eea74215330f0c7fb13f987a3d0df82824b3eb92bcfde157 | """Primitive circuit operations on quantum circuits."""
from functools import reduce
from sympy.core.sorting import default_sort_key
from sympy.core.containers import Tuple
from sympy.core.mul import Mul
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.utilities import numbered_s... |
230fbd80692cbd684f990fd57a9988f747a42b2cc774f96ae94e35c1d3388a42 | """
This module has all the classes and functions related to waves in optics.
**Contains**
* TWave
"""
__all__ = ['TWave']
from sympy.core.basic import Basic
from sympy.core.expr import Expr
from sympy.core.function import Derivative, Function
from sympy.core.numbers import (Number, pi, I)
from sympy.core.singleton... |
54d1edc5b418e215694a3bd98e72071ac3eed9e6a7ffbf835eb39d2d05d3b006 | from sympy.core.add import Add
from sympy.core.function import Function
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Rational, oo)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sy... |
7a670612a41e0affa4549c727d7eba4d9c5a849f296339c52c4d5fcb2cde6467 | from sympy.core.numbers import Integer
from sympy.core.symbol import Symbol
from sympy.physics.quantum.qexpr import QExpr, _qsympify_sequence
from sympy.physics.quantum.hilbert import HilbertSpace
from sympy.core.containers import Tuple
x = Symbol('x')
y = Symbol('y')
def test_qexpr_new():
q = QExpr(0)
asser... |
061b31fe08f972962fe0185525142887194a93fadca788c7b524654cffa6ff1b | from sympy.core.mul import Mul
from sympy.core.numbers import I
from sympy.matrices.dense import Matrix
from sympy.printing.latex import latex
from sympy.physics.quantum import (Dagger, Commutator, AntiCommutator, qapply,
Operator, represent)
from sympy.physics.quantum.pauli import (S... |
1efa6de36966b23a452aeb37d7a16c0de90e3d82197bd4b025302a961e171066 | from sympy.core.random import randint
from sympy.core.numbers import Integer
from sympy.matrices.dense import (Matrix, ones, zeros)
from sympy.physics.quantum.matrixutils import (
to_sympy, to_numpy, to_scipy_sparse, matrix_tensor_product,
matrix_to_zero, matrix_zeros, numpy_ndarray, scipy_sparse_matrix
)
fr... |
d49f8304c24504c704d3ef0269f3d0291308da7567b6935db332bdeb25fd9989 | # -*- encoding: utf-8 -*-
"""
TODO:
* Address Issue 2251, printing of spin states
"""
from typing import Dict as tDict, Any
from sympy.physics.quantum.anticommutator import AntiCommutator
from sympy.physics.quantum.cg import CG, Wigner3j, Wigner6j, Wigner9j
from sympy.physics.quantum.commutator import Commutator
from ... |
3a3208baabbfd75e0eb2e16999aa15eae171f432640d3e5245516bd62c4df259 | from sympy.core.backend import Symbol, symbols, sin, cos, Matrix
from sympy.physics.vector import Point, ReferenceFrame, dynamicsymbols
from sympy.physics.mechanics import inertia, Body
from sympy.testing.pytest import raises
def test_default():
body = Body('body')
assert body.name == 'body'
assert body.lo... |
6216c40b245456a6abdfe528cd370a401ab5f363e4da839c4aff38041767ff8d | import functools, itertools
from sympy.core.sympify import _sympify, sympify
from sympy.core.expr import Expr
from sympy.core import Basic, Tuple
from sympy.tensor.array import ImmutableDenseNDimArray
from sympy.core.symbol import Symbol
from sympy.core.numbers import Integer
class ArrayComprehension(Basic):
"""
... |
c31130209bbac0ca186d2554c6692037a7781c30f72e0002129a5c9baf84e331 | import itertools
from collections.abc import Iterable
from sympy.core._print_helpers import Printable
from sympy.core.containers import Tuple
from sympy.core.function import diff
from sympy.core.singleton import S
from sympy.core.sympify import _sympify
from sympy.tensor.array.ndim_array import NDimArray
from sympy.t... |
8fb9019b5a135fe0f55f7a947590be7190badff4edd12b1089b4641db2c40509 | from sympy.testing.pytest import raises
from sympy.tensor.toperators import PartialDerivative
from sympy.tensor.tensor import (TensorIndexType,
tensor_indices,
TensorHead, tensor_heads)
from sympy.core.numbers import Rational
from sympy.core.symbol impo... |
4951a26a0ed29f90546a953a14bd9e68fd93935f88138242aad4430816e09845 | from functools import wraps
from sympy.concrete.summations import Sum
from sympy.core.function import expand
from sympy.core.numbers import Integer
from sympy.matrices.dense import (Matrix, eye)
from sympy.tensor.indexed import Indexed
from sympy.combinatorics import Permutation
from sympy.core import S, Rational, Sym... |
a42bea992714d28431c78e2a9bd4f73242885ca8151510e44872c385236a3886 | from sympy.core import symbols, Symbol, Tuple, oo, Dummy
from sympy.tensor.indexed import IndexException
from sympy.testing.pytest import raises
from sympy.utilities.iterables import iterable
# import test:
from sympy.concrete.summations import Sum
from sympy.core.function import Function, Subs, Derivative
from sympy.... |
61e47cd40668d263c1c7b4346b24ec40df24fc33f5a4b0e803872ff4897cc3dc | import random
from sympy.combinatorics import Permutation
from sympy.combinatorics.permutations import _af_invert
from sympy.testing.pytest import raises
from sympy.core.function import diff
from sympy.core.symbol import symbols
from sympy.functions.elementary.complexes import (adjoint, conjugate, transpose)
from sym... |
f638bfd78b339feaa82fa0d0e66bb320535a5de7d3ee7e793c58a05e8170939d | from copy import copy
from sympy.tensor.array.dense_ndim_array import ImmutableDenseNDimArray
from sympy.core.containers import Dict
from sympy.core.function import diff
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.matrices import... |
ac515ad28d0025880f367a6a8a397dd556fd116da480719073a72ef5fd5f22f6 | from copy import copy
from sympy.tensor.array.dense_ndim_array import MutableDenseNDimArray
from sympy.core.function import diff
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.matrices import SparseMatrix... |
7b74a29fe60eda7791f7628f7320f86fc7f948f6d5e6f2da1b34651fb722d15b | from collections import defaultdict
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.power import Pow
from sympy.core.sorting import default_sort_key
from sympy.functions.special.tensor_functions import Kronec... |
e156993571d3136a23952da3d7f38571c43c2809b048df24cbd5c193eb79df94 | import itertools
from collections import defaultdict
from typing import Tuple as tTuple, Union as tUnion, FrozenSet, Dict as tDict, List, Optional
from functools import singledispatch
from itertools import accumulate
from sympy import MatMul, Basic, Wild
from sympy.assumptions.ask import (Q, ask)
from sympy.core.mul i... |
fb14be5ff89373fbb18776ba84f9df4f159dab592c03b8707c50f3a1b092968d | from sympy.core.basic import Basic
from sympy.core.function import Lambda
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.matrices.expressions.hadamard import (HadamardPowe... |
c80b49b01a963dcb7b8a4c3a381a3ca8024be017533ce40cbb634f1025e8c0ae | import operator
from collections import defaultdict, Counter
from functools import reduce
import itertools
from itertools import accumulate
from typing import Optional, List, Dict as tDict, Tuple as tTuple
import typing
from sympy import Integer, KroneckerDelta
from sympy.core.basic import Basic
from sympy.core.conta... |
96dd685071e7f41c2e7b61742de81425d3a11f099ba41647c4a9594564042b70 | import operator
from functools import reduce, singledispatch
from sympy.core.expr import Expr
from sympy.core.singleton import S
from sympy.matrices.expressions.hadamard import HadamardProduct
from sympy.matrices.expressions.inverse import Inverse
from sympy.matrices.expressions.matexpr import (MatrixExpr, MatrixSymbo... |
e9fc0d936951b517e1d711397ed6f37c5ceee30eeace1742518a71268250341f | from sympy import Lambda, S, Dummy
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import cos, sin
from sympy.matrices.expressions.hadamard import HadamardProduct, HadamardPower
from sympy.matrices.expressions.special import (... |
33af8609c9398c0df17778449f47301c96543c863fde9fd7d324f2fcd73bfb43 | from sympy.concrete.summations import Sum
from sympy.core.symbol import symbols
from sympy.functions.special.tensor_functions import KroneckerDelta
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.special import Identity
from sympy.tensor.indexed import IndexedBase
from sympy.... |
af0190ac2926dff9dbdf8b80d92b5c55f08e19e60e8c6943442343d1aad5eec1 | from sympy import Lambda
from sympy.core.symbol import symbols, Dummy
from sympy.matrices.expressions.hadamard import (HadamardPower, HadamardProduct)
from sympy.matrices.expressions.inverse import Inverse
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.matpow import MatPow
f... |
f77f4b2ab881bb19b5039247858de5ad57a02f31d7a4d4189ac4ce05be1bbd78 | import random
from sympy import tensordiagonal, eye, KroneckerDelta
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.expressions.diagonal import DiagMatrix
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expression... |
620b18da15857f8e12a8ade85db36e63a3d7bad2f505796c047b21f48c25df38 | from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.special import Identity
from sympy.matrices.expressions.applyfunc import ElementwiseApplyFunction
from sympy.tensor.array.expr... |
e8c09e0bd2855df3d76662e690f3554b1df27aac6cb7566649ebff5624496662 | from sympy.assumptions.ask import Q
from sympy.assumptions.refine import refine
from sympy.core.numbers import oo
from sympy.core.relational import Equality, Eq, Ne
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions import Piecewise
from sympy.functions.elementary.tri... |
8e5725ea24bc8993d632b35d6cd4f749c72fa202c0bf2de1ec3e0bf4eddac3f5 | from sympy.assumptions import Q
from sympy.core.expr import Expr
from sympy.core.add import Add
from sympy.core.function import Function
from sympy.core.kind import NumberKind, UndefinedKind
from sympy.core.numbers import I, Integer, oo, pi, Rational
from sympy.core.singleton import S
from sympy.core.symbol import Symb... |
ed8b5b64b7d081e0192fe0accccfd49c3201a2d6022ac35042d89de020febc33 | from sympy.testing.pytest import warns_deprecated_sympy
from sympy.core.symbol import Symbol
from sympy.polys.polytools import Poly
from sympy.matrices import Matrix
from sympy.matrices.normalforms import (
invariant_factors,
smith_normal_form,
hermite_normal_form,
)
from sympy.polys.domains import ZZ, QQ
... |
2f1e436ebb380877293f916b66ffadd193c68e285f6fe884f21589392d45f3a0 | import random
import concurrent.futures
from collections.abc import Hashable
from sympy.core.add import Add
from sympy.core.function import (Function, diff, expand)
from sympy.core.numbers import (E, Float, I, Integer, Rational, nan, oo, pi)
from sympy.core.power import Pow
from sympy.core.singleton import S
from symp... |
9333dc0d078cdb1a6ec235eea14ac2f6e2a871a73dfef38e52b02986d4b941c1 | from sympy.core.sympify import _sympify
from sympy.core import S, Basic
from sympy.matrices.common import NonSquareMatrixError
from sympy.matrices.expressions.matpow import MatPow
class Inverse(MatPow):
"""
The multiplicative inverse of a matrix expression
This is a symbolic object that simply stores it... |
b18b29b59c55fadb630eb83470fec1a22f595e104efd89388a40d64fe4ce9a77 | from sympy.assumptions.ask import (Q, ask)
from sympy.core import Basic, Add, Mul, S
from sympy.core.sympify import _sympify
from sympy.functions.elementary.complexes import re, im
from sympy.strategies import typed, exhaust, condition, do_one, unpack
from sympy.strategies.traverse import bottom_up
from sympy.utilities... |
8f601db5589c1aa0ec8a493bb71fc380fcbf097070fdc7bf7fc876143a9a292e | from sympy.matrices.expressions.trace import Trace
from sympy.testing.pytest import raises, slow
from sympy.matrices.expressions.blockmatrix import (
block_collapse, bc_matmul, bc_block_plus_ident, BlockDiagMatrix,
BlockMatrix, bc_dist, bc_matadd, bc_transpose, bc_inverse,
blockcut, reblock_2x2, deblock)
fr... |
42eb542adaf7e46099e224b61f5593cccc1ad2302f2f4a6b712f36527b60af99 | from sympy.core import S, symbols
from sympy.matrices import eye, ones, Matrix, ShapeError
from sympy.matrices.expressions import (
Identity, MatrixExpr, MatrixSymbol, Determinant,
det, per, ZeroMatrix, Transpose,
Permanent
)
from sympy.matrices.expressions.special import OneMatrix
from sympy.testing.pytest... |
20e8ea541d688207dc59f02333998a1d2b2c1c8d632340ff4a78c3a6359a0982 | from sympy.core import Lambda, S, symbols
from sympy.concrete import Sum
from sympy.functions import adjoint, conjugate, transpose
from sympy.matrices import eye, Matrix, ShapeError, ImmutableMatrix
from sympy.matrices.expressions import (
Adjoint, Identity, FunctionMatrix, MatrixExpr, MatrixSymbol, Trace,
Zero... |
4c78ade26d5b4ae76689721e54e903994a18bf284796effdc77031ed643b2697 | from sympy.core import Basic, Expr
from sympy.core.function import Lambda
from sympy.core.numbers import oo, Infinity, NegativeInfinity, Zero, Integer
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import (Max, Min)
from sympy.sets.fancysets import... |
612c066ca15b90120c6bd6280e25bec0238a3f31350f6c332032c8028f201b67 | from sympy.core.numbers import oo, Infinity, NegativeInfinity
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.core import Basic, Expr
from sympy.multipledispatch import dispatch
from sympy.sets import Interval, FiniteSet
# XXX: The functions in this module are clearly not tested a... |
90b46f14ee6cbc1c8a0ee6e475415f1162f16f67ff4d95f430f8bb2c1d41cbed | from sympy.core.singleton import S
from sympy.sets.sets import Set
from sympy.calculus.singularities import singularities
from sympy.core import Expr, Add
from sympy.core.function import Lambda, FunctionClass, diff, expand_mul
from sympy.core.numbers import Float, oo
from sympy.core.symbol import Dummy, symbols, Wild
f... |
b3766bd827375dcfb153eb91aabbd55c8261efdf8f52704991307e54566c0293 | from sympy.core import Basic, Expr
from sympy.core.numbers import oo
from sympy.core.symbol import symbols
from sympy.multipledispatch import dispatch
from sympy.sets.setexpr import set_mul
from sympy.sets.sets import Interval, Set
_x, _y = symbols("x y")
@dispatch(Basic, Basic) # type: ignore # noqa:F811
def _set_... |
cb31e90fcf780216dac2a041848076068d3ecb4be1d2feb6074b2f0b3f9af948 |
from sympy.core.expr import unchanged
from sympy.sets.contains import Contains
from sympy.sets.fancysets import (ImageSet, Range, normalize_theta_set,
ComplexRegion)
from sympy.sets.sets import (FiniteSet, Interval, Union, imageset,
Intersection, ProductSe... |
8810b5800620be8b2d4ea8426fef3bb7604efb1ed9493de77f65c638a279b0ec | from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.function import Lambda
from sympy.core.numbers import (Float, I, Rational, nan, oo, pi, zoo)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.core.sympif... |
831a4fc2fa2b7d85a8bb6bc2bbef4fefdb4179fd2ea210e65cf5e234cc7ab45d | import os
from tempfile import TemporaryDirectory
from sympy.concrete.summations import Sum
from sympy.core.numbers import (I, oo, pi)
from sympy.core.relational import Ne
from sympy.core.symbol import Symbol
from sympy.functions.elementary.exponential import (LambertW, exp, exp_polar, log)
from sympy.functions.elemen... |
f82c23ba9df7cad716c69e8306ab0be8e4d2f7d9ec32021354eadb0a3b921ab4 | #!/usr/bin/env python
"""Distutils based setup script for SymPy.
This uses Distutils (https://python.org/sigs/distutils-sig/) the standard
python mechanism for installing packages. Optionally, you can use
Setuptools (https://setuptools.readthedocs.io/en/latest/)
to automatically handle dependencies. For the easiest in... |
f0b129fa8ad93769fc898003a3dc738ae9f25e1e42770c595c9a5ddad758df51 | #!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
A tool to generate AUTHORS. We started tracking authors before moving to git,
so we have to do some manual rearrangement of the git history authors in order
to get the order in AUTHORS. bin/mailmap_check.py should be run before
committing the results.
See here for inst... |
3f589029f5e5ec8bade99e58f7b4261abfd4aa2019eaa47e7a844cb5869c19f0 | """
This module exports all latin and greek letters as Symbols, so you can
conveniently do
>>> from sympy.abc import x, y
instead of the slightly more clunky-looking
>>> from sympy import symbols
>>> x, y = symbols('x y')
Caveats
=======
1. As of the time of writing this, the names ``O``, ``S``, ``I``,... |
c9c4bf20298628fd5b77622b945e19bca4bd723fccf0644ed15c1cd204eeb9bd | #
# SymPy documentation build configuration file, created by
# sphinx-quickstart.py on Sat Mar 22 19:34:32 2008.
#
# This file is execfile()d with the current directory set to its containing dir.
#
# The contents of this file are pickled, so don't put values in the namespace
# that aren't pickleable (module imports are... |
b103de241b7e9ee0d7c41cd26d30ee18b7d62b1a3afe10f802c1223a9a44e5e9 | import random
import itertools
from typing import (Sequence as tSequence, Union as tUnion, List as tList,
Tuple as tTuple, Set as tSet)
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.cache import cacheit
from sympy.core.containers im... |
d5e59ee019303254e4353ae167fedfe176401e056c9721b1b706418e1705dfa8 | """
Generating and counting primes.
"""
import random
from bisect import bisect
from itertools import count
# Using arrays for sieving instead of lists greatly reduces
# memory consumption
from array import array as _array
from sympy.core.function import Function
from sympy.core.singleton import S
from .primetest im... |
2701b8379dd57d5d06167cdf69e3326d416b3907dad005dacc582e385fa4b8b9 | """
Integer factorization
"""
from collections import defaultdict
import random
import math
from sympy.core import sympify
from sympy.core.containers import Dict
from sympy.core.evalf import bitcount
from sympy.core.expr import Expr
from sympy.core.function import Function
from sympy.core.logic import fuzzy_and
from ... |
ca5fff2e0ca3013af8ea6e51462a2f4c7dfe33981e92bc7d334bfe0ff99ae72e | from mpmath.libmp import (fzero, from_int, from_rational,
fone, fhalf, bitcount, to_int, to_str, mpf_mul, mpf_div, mpf_sub,
mpf_add, mpf_sqrt, mpf_pi, mpf_cosh_sinh, mpf_cos, mpf_sin)
from sympy.core.numbers import igcd
from .residue_ntheory import (_sqrt_mod_prime_power,
legendre_symbol, jacobi_symbol, is_... |
7a6a98e38be43defbc204b90a35e82e058de7ea4c064857bd361e4720b181c15 | from sympy.core.random import randrange, choice
from math import log
from sympy.ntheory import primefactors
from sympy.core.symbol import Symbol
from sympy.ntheory.factor_ import (factorint, multiplicity)
from sympy.combinatorics import Permutation
from sympy.combinatorics.permutations import (_af_commutes_with, _af_i... |
9c39d28a1f1bdab2e4819f1f9f1c98a0ba951f95a10586ffeaa9936f47ced21a | import random
from collections import defaultdict
from collections.abc import Iterable
from functools import reduce
from sympy.core.parameters import global_parameters
from sympy.core.basic import Atom
from sympy.core.expr import Expr
from sympy.core.numbers import Integer
from sympy.core.sympify import _sympify
from ... |
60508fdfd14fd506b17bbe424581427227886eb3747a61daef395d55855ced63 | from typing import Tuple as tTuple
from sympy.calculus.singularities import is_decreasing
from sympy.calculus.accumulationbounds import AccumulationBounds
from .expr_with_intlimits import ExprWithIntLimits
from .expr_with_limits import AddWithLimits
from .gosper import gosper_sum
from sympy.core.expr import Expr
from ... |
640c55b35137f10963960933086b6de1e44bb1a70a82b2c8d2136fa96dd502c7 | from sympy.core.basic import Basic
from sympy.core.cache import cacheit
from sympy.core.containers import Tuple
from sympy.core.decorators import call_highest_priority
from sympy.core.parameters import global_parameters
from sympy.core.function import AppliedUndef
from sympy.core.mul import Mul
from sympy.core.numbers ... |
306cc97e8dd7b75b38d42bc99f8e159a2c5c92650597a73bbc269c1296749cc3 | """Fourier Series"""
from sympy.core.numbers import (oo, pi)
from sympy.core.symbol import Wild
from sympy.core.expr import Expr
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.singleton import S
from sympy.core.symbol import Dummy, Symbol
from sympy.core.sympify import sympify
f... |
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