hash stringlengths 64 64 | content stringlengths 0 1.51M |
|---|---|
4ceb9d1eb629f5c427c56d2570a1a6723f41af6f3252987cc3de2b03c6a90621 | from __future__ import division, print_function
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, i... |
e77daee0cd45b4ea999c3a42811905df9356e1da4ea3ae9b2241696fbdf7dbfd | from __future__ import division, print_function
from typing import Callable
from mpmath.matrices.matrices import _matrix
from sympy.core import Basic, Dict, Integer, S, Tuple
from sympy.core.cache import cacheit
from sympy.core.sympify import converter as sympify_converter, _sympify
from sympy.matrices.dense import D... |
cad534f0d21783ef27780524a09ba3113a6edc0c7af5594eff9655bbcc8029da | """
Basic methods common to all matrices to be used
when creating more advanced matrices (e.g., matrices over rings,
etc.).
"""
from __future__ import division, print_function
from sympy.core.logic import FuzzyBool
from collections import defaultdict
from inspect import isfunction
from sympy.assumptions.refine impo... |
7e5ae55daac5788d8147c1265fc4343b63fe7be75398c160cf409e33d1d1499e | from __future__ import division, print_function
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 .utilities import _... |
397cd45b9193e7d8d7ec66732b7836f2b31cbf5b810fc4c0274345de6e2db18c | from __future__ import division, print_function
from typing import Any
import mpmath as mp
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.compatibility import (
Callable, NotIterable, as_int, is_sequence)
from sympy.core.decorators import deprecated
from sympy.core.expr import E... |
879e59b9328129645c9172bc5db25f6dbb2d2e9f1ff537d968a3cc2f059a4435 | from __future__ import division, print_function
from types import FunctionType
from collections import Counter
from mpmath import mp, workprec
from mpmath.libmp.libmpf import prec_to_dps
from sympy.core.compatibility import default_sort_key
from sympy.core.evalf import DEFAULT_MAXPREC, PrecisionExhausted
from sympy.... |
9f442326af50868f2a3b380b37bd4fa8a77046a9794683bcc1d22fed5d1125da | from __future__ import division, print_function
from sympy.core.compatibility import as_int
from sympy.utilities.iterables import is_sequence
from sympy.utilities.misc import filldedent
from .sparse import MutableSparseMatrix
def _doktocsr(dok):
"""Converts a sparse matrix to Compressed Sparse Row (CSR) format.... |
b76bcbb8917b65d7f4dec6523a2191d00cddaa1fcd5df85af5e93e5c598284fb | 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, o... |
6ff4b19843967339c48775a7d7f538923e2887837a04dc545683f185ecb6b76e | from __future__ import print_function, division
from functools import reduce
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.numbers import oo,... |
8660d0eddf7fb9ad77152d60a882430a6afb7c0ed4492d891bcc9dd713f7b716 | from __future__ import print_function, division
from typing import Optional
from collections import defaultdict
import inspect
from sympy.core.basic import Basic
from sympy.core.compatibility import iterable, ordered, reduce
from sympy.core.containers import Tuple
from sympy.core.decorators import (deprecated, sympi... |
bf972ca8d611b6c01e5e08d6a6d8c6a726e69e5d621c014d4cf243f75b824da0 | from __future__ import print_function, division
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)... |
f3955376ce735aaa1202d3a970063535bb48d0d58f5ac509c6fe41cebd1dbd72 | from sympy import (FiniteSet, S, Symbol, sqrt, nan, beta, Rational, symbols,
simplify, Eq, cos, And, Tuple, Or, Dict, sympify, binomial,
cancel, exp, I, Piecewise, Sum, Dummy)
from sympy.external import import_module
from sympy.matrices import Matrix
from sympy.stats import (Discre... |
22f7da919e414618f7ff7813c83f8a5194ec3ecada91f68343998fc6143f3b89 | from sympy import (S, Symbol, Sum, I, lambdify, re, im, log, simplify, sqrt,
zeta, pi, besseli, Dummy, oo, Piecewise, Rational, beta,
floor)
from sympy.core.relational import Eq, Ne
from sympy.functions.elementary.exponential import exp
from sympy.logic.boolalg import Or
from sympy... |
2b64357dd7f178063c9f09db5d6b9a3eb4837fd1b00e5474078455d15524c917 | from sympy import E as e
from sympy import (Symbol, Abs, exp, expint, S, pi, simplify, Interval, erf, erfc, Ne,
EulerGamma, Eq, log, lowergamma, uppergamma, symbols, sqrt, And,
gamma, beta, Piecewise, Integral, sin, cos, tan, sinh, cosh,
besseli, floor, expand_fu... |
9a72b58e8577941d708283c97e1e98e649bcdf3e3c104306c400c7601ad63ad4 | from sympy.ntheory.generate import Sieve, sieve
from sympy.ntheory.primetest import (mr, is_lucas_prp, is_square,
is_strong_lucas_prp, is_extra_strong_lucas_prp, isprime, is_euler_pseudoprime,
is_gaussian_prime)
from sympy.testing.pytest import ... |
d1f414c99ea94a76475fced5f16ad8124cee0d661f3c2b405845c766b68c9519 | from sympy import Mul, S, Pow, Symbol, summation, Dict, factorial as fac
from sympy.core.evalf import bitcount
from sympy.core.numbers import Integer, Rational
from sympy.ntheory import (totient,
factorint, primefactors, divisors, nextprime,
primerange, pollard_rho, perfect_power, multiplicity, multiplicity_in... |
8c2f060905497a515c1cc0297f94d95352973f6a01a78f259240f46ccd932c2a | from sympy.ntheory import count_digits, digits, is_palindromic
from sympy.testing.pytest import raises
def test_digits():
assert all([digits(n, 2)[1:] == [int(d) for d in format(n, 'b')]
for n in range(20)])
assert all([digits(n, 8)[1:] == [int(d) for d in format(n, 'o')]
for ... |
c1cd043ac1a8faa1a975ebd1ab5a3ae21b704ce4ff61253351fca1242f8955b8 | from sympy.ntheory.elliptic_curve import EllipticCurve
def test_elliptic_curve():
# Point addition and multiplication
e3 = EllipticCurve(-1, 9)
p = e3(0, 3)
q = e3(-1, 3)
r = p + q
assert r.x == 1 and r.y == -3
r = 2*p + q
assert r.x == 35 and r.y == 207
r = -p + q
assert r.x =... |
38e73bdc2824cb891e000ee537ec9dbcc88e6f279246d0476317a4f233f6bdd1 | from itertools import product as cartes
from sympy import (
limit, exp, oo, log, sqrt, Limit, sin, floor, cos, ceiling,
atan, gamma, Symbol, S, pi, Integral, Rational, I,
tan, cot, integrate, Sum, sign, Function, subfactorial, symbols,
binomial, simplify, frac, Float, sec, zoo, fresnelc, fresnels,
... |
ef995cde5cee2845b6eb98f480e125f82f355eb570580771004aeac7b5ace3e0 | from sympy import (
Add, Mul, S, Symbol, cos, cot, pi, I, sin, sqrt, tan, root, csc, sec,
powsimp, symbols, sinh, cosh, tanh, coth, sech, csch, Dummy, Rational)
from sympy.simplify.fu import (
L, TR1, TR10, TR10i, TR11, _TR11, TR12, TR12i, TR13, TR14, TR15, TR16,
TR111, TR2, TR2i, TR3, TR5, TR6, TR7, TR... |
14b03e04af748ae75e13bbadfe7e1215c506ea237a55ec520c7dc6f36bbeebee | from sympy import symbols, re, im, sign, I, Abs, Symbol, \
cos, sin, sqrt, conjugate, log, acos, E, pi, \
Matrix, diff, integrate, trigsimp, S, Rational
from sympy.algebras.quaternion import Quaternion
from sympy.testing.pytest import raises
w, x, y, z = symbols('w:z')
phi = symbols('phi')
def test_quaterni... |
b94090f8f1e0da2ebe4841907c61960e6cb25d740a40e30502bef5db549b7c51 | from sympy.diffgeom.rn import R2, R2_p, R2_r, R3_r, R3_c, R3_s
from sympy.diffgeom import (Commutator, Differential, TensorProduct,
WedgeProduct, BaseCovarDerivativeOp, CovarDerivativeOp, LieDerivative,
covariant_order, contravariant_order, twoform_to_matrix, metric_to_Christoffel_1st,
metric_to... |
360039b9891dee73f84f22ca4af99fe09e7904591866f23f4f09a73a89652d1a | """
Handlers for keys related to number theory: prime, even, odd, etc.
"""
from sympy.assumptions import Q, ask
from sympy.assumptions.handlers import CommonHandler
from sympy.ntheory import isprime
from sympy.core import S, Float
class AskPrimeHandler(CommonHandler):
"""
Handler for key 'prime'
Test tha... |
79f99434e9537acc83041ef8efa6d2e8a7d3c02aa5f44bb4583fb2f9a906ae50 | """
This module contains query handlers responsible for calculus queries:
infinitesimal, finite, etc.
"""
from sympy.logic.boolalg import conjuncts
from sympy.assumptions import Q, ask
from sympy.assumptions.handlers import CommonHandler
class AskFiniteHandler(CommonHandler):
"""
Handler for key 'finite'.
... |
2177575d47c8739eedf8a9b36d78c8a9346188eddfcd30b1788a19e4e6e2767c | from sympy.core.logic import _fuzzy_group
from sympy.logic.boolalg import conjuncts
from sympy.assumptions import Q, ask
class AskHandler:
"""Base class that all Ask Handlers must inherit"""
pass
class CommonHandler(AskHandler):
"""Defines some useful methods common to most Handlers """
@staticmeth... |
7db5eb1da2e04e446465e9487d0cc628c585e69a3ede264b649e87dedfacd022 | """
This module contains query handlers responsible for calculus queries:
infinitesimal, bounded, etc.
"""
from sympy.logic.boolalg import conjuncts
from sympy.assumptions import Q, ask
from sympy.assumptions.handlers import CommonHandler, test_closed_group
from sympy.matrices.expressions import MatMul, MatrixExpr
fro... |
b622f2c70803d34aae6429d84cf5b7d14991039e967f8e68518bd9140297352b | """
AskHandlers related to order relations: positive, negative, etc.
"""
from sympy.assumptions import Q, ask
from sympy.assumptions.handlers import CommonHandler
from sympy.core.logic import fuzzy_not, fuzzy_and, fuzzy_or
class AskNegativeHandler(CommonHandler):
"""
This is called by ask() when key='negativ... |
badf45c2d4d9b0ceb07f741b4805834a61997e0dc842489ce51f51354d5a3ec3 | """
Handlers for predicates related to set membership: integer, rational, etc.
"""
from sympy.assumptions import Q, ask
from sympy.assumptions.handlers import CommonHandler, test_closed_group
from sympy.core.numbers import pi
from sympy.core.logic import fuzzy_bool
from sympy.functions.elementary.exponential import ex... |
b35fbfaa0b53d902433b8dff5a642dd98937da9251e2e52587822aa2874d6b9b | from sympy import (Abs, exp, Expr, I, pi, Q, Rational, refine, S, sqrt,
atan, atan2, nan, Symbol, re, im, sign)
from sympy.abc import w, x, y, z
from sympy.core.relational import Eq, Ne
from sympy.functions.elementary.piecewise import Piecewise
from sympy.matrices.expressions.matexpr import MatrixSym... |
35d18ac8981681dbb1b1570e09064508a8bd2cbfcdf46a1d5bb1225528ab871c | """
rename this to test_assumptions.py when the old assumptions system is deleted
"""
from sympy.abc import x, y
from sympy.assumptions.assume import global_assumptions, Predicate
from sympy.assumptions.ask import _extract_facts, Q
from sympy.core import symbols
from sympy.printing import pretty
def test_equal():
... |
f351284e74847d79104602a237f84f34e65ef899c2c6f1a055562760f040ebd7 | from sympy.abc import t, w, x, y, z, n, k, m, p, i
from sympy.assumptions import (ask, AssumptionsContext, Q, register_handler,
remove_handler)
from sympy.assumptions.assume import global_assumptions
from sympy.assumptions.ask import compute_known_facts, single_fact_lookup
from sympy.assumptions.handlers import... |
ed5ac1cb123bfd928f03f1c5b66d78425ac426171f930b75191be3c3509ec130 | from __future__ import print_function, division
from typing import List
from sympy.core import S, sympify, Dummy, Mod
from sympy.core.cache import cacheit
from sympy.core.compatibility import reduce, HAS_GMPY
from sympy.core.function import Function, ArgumentIndexError
from sympy.core.logic import fuzzy_and
from symp... |
ea76352f4a39896c3e57a9e223a4fa03d81ec285b4977d71fdcac83b4e05d9f6 | from __future__ import print_function, division
from sympy.core.add import Add
from sympy.core.basic import sympify, cacheit
from sympy.core.function import Function, ArgumentIndexError, expand_mul
from sympy.core.logic import fuzzy_not, fuzzy_or, FuzzyBool
from sympy.core.numbers import igcdex, Rational, pi
from symp... |
0d79e0ccf488494fe6295a67f3671d5d08f2e058df508bfd4b520703a1e8b610 | from __future__ import print_function, division
from sympy.core import Function, S, sympify
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.operations import LatticeOp, ShortCircuit
from sympy.core.function import (Application, Lambda,
ArgumentIndexError)
from sympy.core.expr... |
e379562eb177703997235d22a4339ae1de39a2ce220382e8dbea436fd0d538b5 | from __future__ import print_function, division
from sympy.core import Add, S
from sympy.core.evalf import get_integer_part, PrecisionExhausted
from sympy.core.function import Function
from sympy.core.logic import fuzzy_or
from sympy.core.numbers import Integer
from sympy.core.relational import Gt, Lt, Ge, Le, Relatio... |
74eb57997e6982493a5e4eddbe54d0c98372cf8b68e07aac93240716f0e92915 | from __future__ import print_function, division
from sympy.core import sympify
from sympy.core.add import Add
from sympy.core.cache import cacheit
from sympy.core.function import (Function, ArgumentIndexError, _coeff_isneg,
expand_mul)
from sympy.core.logic import fuzzy_and, fuzzy_not, fuzzy_or
from sympy.core... |
17792abe8bf4cb0510842451508d03974f2fcd71a7ef8476af50506e8e7322df | from sympy import (S, Symbol, symbols, factorial, factorial2, Float, binomial,
rf, ff, gamma, polygamma, EulerGamma, O, pi, nan,
oo, zoo, simplify, expand_func, Product, Mul, Piecewise,
Mod, Eq, sqrt, Poly, Dummy, I, Rational)
from sympy.core.expr import unchange... |
842d07d179f8e52e19e48d8385c85b7f4b5fd48fc21e7a138f5eb4c2f9de8627 | from sympy import (
symbols, log, ln, Float, nan, oo, zoo, I, pi, E, exp, Symbol,
LambertW, sqrt, Rational, expand_log, S, sign, conjugate, refine,
sin, cos, sinh, cosh, tanh, exp_polar, re, simplify,
AccumBounds, MatrixSymbol, Pow, gcd, Sum, Product)
from sympy.functions.elementary.exponential import m... |
9efe4ebd4d8a340a83b60bbce6a6763fc6d972d5627a63377a632756bee57bb3 | from sympy import AccumBounds, Symbol, floor, nan, oo, zoo, E, symbols, \
ceiling, pi, Rational, Float, I, sin, exp, log, factorial, frac, Eq, \
Le, Ge, Gt, Lt, Ne, sqrt, S
from sympy.core.expr import unchanged
from sympy.testing.pytest import XFAIL
x = Symbol('x')
i = Symbol('i', imaginary=True)
y = ... |
185c638069583ee22048ef4a97ae5c228277052a1a7a91dce01e2d9c5b25fd35 | from sympy import (symbols, Symbol, nan, oo, zoo, I, sinh, sin, pi, atan,
acos, Rational, sqrt, asin, acot, coth, E, S, tan, tanh, cos,
cosh, atan2, exp, log, asinh, acoth, atanh, O, cancel, Matrix, re, im,
Float, Pow, gcd, sec, csc, cot, diff, simplify, Heaviside, arg,
conjugate, series... |
abe9b043b1a54c0d22d2034b70a3c0298b797aa08980b9169b402e64e0fa7350 | from __future__ import print_function, division
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.compatibility import as_int, is_sequence, ordered
from sympy.core.exprtools import factor_terms
from sympy.core.function import _mexpand
from sympy.core.mul import Mul
from sympy.core.... |
a3d56bb9fd30a55a5eb7047b809894b3441166ec1bb0408ed58808c512830637 | r"""
This module contains :py:meth:`~sympy.solvers.ode.dsolve` and different helper
functions that it uses.
:py:meth:`~sympy.solvers.ode.dsolve` solves ordinary differential equations.
See the docstring on the various functions for their uses. Note that partial
differential equations support is in ``pde.py``. Note t... |
f8a46633f6c2eddafcfbc632dae4c0df44a79bdf153c50782128c243a15a933e | #
# This is the module for ODE solver classes for single ODEs.
#
import typing
if typing.TYPE_CHECKING:
from typing import ClassVar
from typing import Dict, Iterable, List, Optional, Type
from sympy.core import S
from sympy.core.exprtools import factor_terms
from sympy.core.expr import Expr
from sympy.core.functi... |
5c02ecb5a832e85384cae79cc50ac62aca9c2beec1d5433e281d917cd1a618a3 | from sympy.core.containers import Tuple
from sympy.core.function import (Function, Lambda, nfloat, diff)
from sympy.core.mod import Mod
from sympy.core.numbers import (E, I, Rational, oo, pi)
from sympy.core.relational import (Eq, Gt,
Ne)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symb... |
5d40c5c2795f344c9aac6239125bdfb768e2c609bcc20b72d58a09ed40764caf | from sympy import (
Abs, And, Derivative, Dummy, Eq, Float, Function, Gt, I, Integral,
LambertW, Lt, Matrix, Or, Poly, Q, Rational, S, Symbol, Ne,
Wild, acos, asin, atan, atanh, binomial, cos, cosh, diff, erf, erfinv, erfc,
erfcinv, exp, im, log, pi, re, sec, sin,
sinh, solve, solve_linear, sqrt, ss... |
4baba51066bedc0f40462d763c8128cc364045fd73e7786d87f8632dc549cdbd | from sympy import Eq, factorial, Function, Lambda, rf, S, sqrt, symbols, I, \
expand_func, binomial, gamma, Rational, Symbol, cos, sin, Abs
from sympy.solvers.recurr import rsolve, rsolve_hyper, rsolve_poly, rsolve_ratio
from sympy.testing.pytest import raises, slow
from sympy.abc import a, b
y = Function('y')
n, ... |
8da5add9a040b24ec693271266980b3b804521fa81d49bbcd5cf846a154a48bc | from sympy import (Add, Matrix, Mul, S, symbols, Eq, pi, factorint, oo,
powsimp, Rational)
from sympy.core.function import _mexpand
from sympy.core.compatibility import ordered
from sympy.functions.elementary.trigonometric import sin
from sympy.solvers.diophantine import diophantine
from sympy.solver... |
bbb502fbd824d9a12631d29259ac88d8cacea43ee4f125bfb2aa5d68521d0431 | from sympy import (acos, acosh, asinh, atan, cos, Derivative, diff,
Dummy, Eq, Ne, erfi, exp, Function, I, Integral, LambertW, log, O, pi,
Rational, rootof, S, sin, sqrt, Subs, Symbol, tan, asin, sinh,
Piecewise, symbols, Poly, sec, Ei, re, im, atan2, collect, hyper, simplify, integrate)
from sympy.solvers.... |
37793d49f19b87bbc8582b736464c179e577082c99c1978532f2beb2ee704eec | #
# The main tests for the code in single.py are currently located in
# sympy/solvers/tests/test_ode.py
#
r"""
This File contains test functions for the individual hints used for solving ODEs.
Examples of each solver will be returned by _get_examples_ode_sol_name_of_solver.
Examples should have a key 'XFAIL' which st... |
b086a1a2b92229500b68d11bb1dbb9003c7db5e2d67888d49f235bf300b85475 | from sympy import Rational, fibonacci
from sympy.core import S, symbols
from sympy.testing.pytest import raises
from sympy.discrete.recurrences import linrec
def test_linrec():
assert linrec(coeffs=[1, 1], init=[1, 1], n=20) == 10946
assert linrec(coeffs=[1, 2, 3, 4, 5], init=[1, 1, 0, 2], n=10) == 1040
as... |
db8566a4dc64697255ab72d38aac96dede445bd8962d13765836ce3936be6fef | from sympy import (Symbol, S, exp, log, sqrt, oo, E, zoo, pi, tan, sin, cos,
cot, sec, csc, Abs, symbols, I, re, simplify,
expint, Rational)
from sympy.calculus.util import (function_range, continuous_domain, not_empty_in,
periodicity, lcim, AccumBo... |
cebdcf84a47685132e730eafb48a31b6043e1cde985d092f1d9c02c265dc093a | import sys
import inspect
import copy
import pickle
from sympy.physics.units import meter
from sympy.testing.pytest import XFAIL
from sympy.core.basic import Atom, Basic
from sympy.core.core import BasicMeta
from sympy.core.singleton import SingletonRegistry
from sympy.core.symbol import Dummy, Symbol, Wild
from sym... |
72ba34388b85ef56549986682242b7ce371f48c28124e091d40d01b3fd5ea6ba | """ Tests from Michael Wester's 1999 paper "Review of CAS mathematical
capabilities".
http://www.math.unm.edu/~wester/cas/book/Wester.pdf
See also http://math.unm.edu/~wester/cas_review.html for detailed output of
each tested system.
"""
from sympy import (Rational, symbols, Dummy, factorial, sqrt, log, exp, oo, zoo,... |
f5c2daa4ef7f818b6c14ded2890773eb18a1af3ce309c9305419f21649cf8ccf | from __future__ import print_function
from textwrap import dedent
from itertools import islice, product
from sympy import (
symbols, Integer, Integral, Tuple, Dummy, Basic, default_sort_key, Matrix,
factorial, true)
from sympy.combinatorics import RGS_enum, RGS_unrank, Permutation
from sympy.core.compatibilit... |
6846562f603ec3e383106b5d85404e59392f102796daaff87a5bf7e1b661fbce | from __future__ import print_function, division
import itertools
from sympy.core import S
from sympy.core.containers import Tuple
from sympy.core.function import _coeff_isneg
from sympy.core.mul import Mul
from sympy.core.numbers import Rational
from sympy.core.power import Pow
from sympy.core.symbol import Symbol
fr... |
eb43d706145a827b41353256f0061abf13ea3db72563ad39b6aae80c150d4828 | from typing import Any, Dict
from sympy.testing.pytest import raises
from sympy import (symbols, sympify, Function, Integer, Matrix, Abs,
Rational, Float, S, WildFunction, ImmutableDenseMatrix, sin, true, false, ones,
sqrt, root, AlgebraicNumber, Symbol, Dummy, Wild, MatrixSymbol)
from sympy.combinatorics impo... |
af46ff1ba842241b23d2acd969a40d236140bc7f3806c08311664b4b5c825198 | from __future__ import absolute_import
from sympy.codegen import Assignment
from sympy.codegen.ast import none
from sympy.codegen.matrix_nodes import MatrixSolve
from sympy.core import Expr, Mod, symbols, Eq, Le, Gt, zoo, oo, Rational
from sympy.core.numbers import pi
from sympy.core.singleton import S
from sympy.func... |
fb97441d64bbb79e3d920e62e1674992e46aeeea1f2e2c08296b376859720e26 | from sympy import (Abs, Catalan, cos, Derivative, E, EulerGamma, exp,
factorial, factorial2, Function, GoldenRatio, TribonacciConstant, I,
Integer, Integral, Interval, Lambda, Limit, Matrix, nan, O, oo, pi, Pow,
Rational, Float, Rel, S, sin, SparseMatrix, sqrt, summation, Sum, Symbol,
symbols, Wild, Wil... |
a56d291c1c942ad6159905dddc93080ca4e4b6f5d3757d14e4856c07dfd92d92 | from sympy.tensor.toperators import PartialDerivative
from sympy import (
Abs, Chi, Ci, CosineTransform, Dict, Ei, Eq, FallingFactorial,
FiniteSet, Float, FourierTransform, Function, Indexed, IndexedBase, Integral,
Interval, InverseCosineTransform, InverseFourierTransform, Derivative,
InverseLaplaceTra... |
97eb1e500cce91fc58a0c4fd23afe6bdf9826f8b049d70b5f65296b7151ba941 | """
Utility functions for Rubi integration.
See: http://www.apmaths.uwo.ca/~arich/IntegrationRules/PortableDocumentFiles/Integration%20utility%20functions.pdf
"""
from sympy.external import import_module
matchpy = import_module("matchpy")
from sympy import (Basic, E, polylog, N, Wild, WildFunction, factor, gcd, Sum,
... |
cf8118f6120edc2e606ca0b175050eab1c4615c1e6520a878f72fcd597afeecd | from sympy import (
Abs, acos, acosh, Add, And, asin, asinh, atan, Ci, cos, sinh, cosh,
tanh, Derivative, diff, DiracDelta, E, Ei, Eq, exp, erf, erfc, erfi,
EulerGamma, Expr, factor, Function, gamma, gammasimp, I, Idx, im, IndexedBase,
integrate, Interval, Lambda, LambertW, log, Matrix, Max, meijerg, Mi... |
848d8cb77416612f8ef8b8d77df8d6cbecacd500d8f314eedd1fe3eccb20c6fc | from sympy import (meijerg, I, S, integrate, Integral, oo, gamma, cosh, sinc,
hyperexpand, exp, simplify, sqrt, pi, erf, erfc, sin, cos,
exp_polar, polygamma, hyper, log, expand_func, Rational)
from sympy.integrals.meijerint import (_rewrite_single, _rewrite1,
meijerint_ind... |
b457af1e778f8e1cc62cd1d0397a23d1a6e7896be6a8abe733bb44776353300f | import sys
from sympy.external import import_module
matchpy = import_module("matchpy")
if not matchpy:
#bin/test will not execute any tests now
disabled = True
if sys.version_info[:2] < (3, 6):
disabled = True
from sympy.integrals.rubi.utility_function import (Set, With, Module,
Scan, MapAnd, FalseQ,... |
462ff22ef0a5171e233c2ee4c134b0245e614eb0e07a2525dcebb6800ddb47c4 | """Test whether all elements of cls.args are instances of Basic. """
# NOTE: keep tests sorted by (module, class name) key. If a class can't
# be instantiated, add it here anyway with @SKIP("abstract class) (see
# e.g. Function).
import os
import re
import io
from sympy import (Basic, S, symbols, sqrt, sin, oo, Inte... |
ce714c617d269d6bb4de259e41b76c8a3250354d7d24c912f03ef0fea235393d | from sympy.core import (
Rational, Symbol, S, Float, Integer, Mul, Number, Pow,
Basic, I, nan, pi, symbols, oo, zoo, N)
from sympy.core.tests.test_evalf import NS
from sympy.core.function import expand_multinomial
from sympy.functions.elementary.miscellaneous import sqrt, cbrt
from sympy.functions.elementary.ex... |
f81cd31ca8a4cb55ad9f82fe3cab94c2fa1bb83644a9ec39852890b0ebc4e7d5 | from sympy import I, sqrt, log, exp, sin, asin, factorial, Mod, pi, oo
from sympy.core import Symbol, S, Rational, Integer, Dummy, Wild, Pow
from sympy.core.facts import InconsistentAssumptions
from sympy import simplify
from sympy.testing.pytest import raises, XFAIL
def test_symbol_unset():
x = Symbol('x', real... |
30c3bd6e71c7edf3ba97b2626b3588ab1080ea99ba7684b9c7576d2decc23932 | from sympy import (Symbol, exp, Integer, Float, sin, cos, log, Poly, Lambda,
Function, I, S, sqrt, srepr, Rational, Tuple, Matrix, Interval, Add, Mul,
Pow, Or, true, false, Abs, pi, Range, Xor)
from sympy.abc import x, y
from sympy.core.sympify import (sympify, _sympify, SympifyError, kernS,
CantSympify)
fr... |
332c9aba4a0ee9951dfb57625a4ffcf055671f02f1c37168a21c55c12110293b | from sympy import (Basic, Symbol, sin, cos, atan, exp, sqrt, Rational,
Float, re, pi, sympify, Add, Mul, Pow, Mod, I, log, S, Max, symbols,
oo, zoo, Integer, sign, im, nan, Dummy, factorial, comp, floor
)
from sympy.core.parameters import distribute
from sympy.core.expr import unchanged
from sympy.utili... |
68bf2ef4da371c2a1b6b6ab936c364c666952feeb039a8f8d6af7ebc42b3e17e | """Tests that the IPython printing module is properly loaded. """
from sympy.interactive.session import init_ipython_session
from sympy.external import import_module
from sympy.testing.pytest import raises
# run_cell was added in IPython 0.11
ipython = import_module("IPython", min_module_version="0.11")
# disable te... |
9560cbc684636536ec38d6191bf5ab425a65ec73e675dcb529aa3c5e37f63b83 | """Tests for user-friendly public interface to polynomial functions. """
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, invert,
subre... |
e0b6914e9bc4b3dfebc5edace2aeaa6245dd81ea147af6e5ef4bb15607c472dd | # 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 backsl... |
686331a5e54282bf1fb75519997b28363bd227a06c944058ee61b119702ea08e | from sympy import (Eq, Rational, Float, S, Symbol, cos, oo, pi, simplify,
sin, sqrt, symbols, acos)
from sympy.functions.elementary.trigonometric import tan
from sympy.geometry import (Circle, GeometryError, Line, Point, Ray,
Segment, Triangle, intersection, Point3D, Line3D, Ray3D, Segment3D,
Point2D, Line2... |
fe659824479a91a6ea1d84fe77a75292e28acd6bafb35a3c839f2f3e196f9fc8 | from sympy import Eq, Rational, S, Symbol, symbols, pi, sqrt, oo, Point2D, Segment2D, Abs
from sympy.geometry import (Circle, Ellipse, GeometryError, Line, Point,
Polygon, Ray, RegularPolygon, Segment,
Triangle, intersection)
from sympy.testing.pytest import raise... |
7636d7845f4e39beef2193ef6cbb197e3ca68a0dab02fea65618d9135310f790 | from sympy import (Abs, Rational, Float, S, Symbol, symbols, cos, sin, pi, sqrt, \
oo, acos)
from sympy.functions.elementary.trigonometric import tan
from sympy.geometry import (Circle, Ellipse, GeometryError, Point, Point2D, \
Polygon, Ray, RegularPolygon, Segment, Trian... |
fec2999e1a6119e755408931ddac41b57fe893d8b18f98ea308ecaa9faebd84e | from __future__ import unicode_literals, print_function
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 ... |
fd55da868cf7f4b33d09acc197db6bb6f0a353efe518252990ad450df741b07d | from sympy.parsing.sym_expr import SymPyExpression
from sympy.testing.pytest import raises
from sympy.external import import_module
cin = import_module('clang.cindex', import_kwargs = {'fromlist': ['cindex']})
if cin:
from sympy.codegen.ast import (Variable, IntBaseType, FloatBaseType, String,
... |
1b9d37d8d5f63ab1725da129e2386f11ddabc01888a490538fcb95f69239de52 | """
This module can be used to solve 2D beam bending problems with
singularity functions in mechanics.
"""
from __future__ import print_function, division
from sympy.core import S, Symbol, diff, symbols
from sympy.solvers import linsolve
from sympy.printing import sstr
from sympy.functions import SingularityFunction,... |
e90565d602577e392a6d9853e1c4920454fe33c3af5b9bd1d1693d4d1e16d751 | from sympy import Symbol, symbols, S, Interval, pi, Rational, simplify
from sympy.physics.continuum_mechanics.beam import Beam
from sympy.functions import SingularityFunction, Piecewise, meijerg, Abs, log
from sympy.testing.pytest import raises
from sympy.physics.units import meter, newton, kilo, giga, milli
from sympy... |
507fa8b5a3b3fd3589b5821d062cb12d108222b8ff40df592bcf66b9123e9fe7 | from sympy.assumptions.ask import Q
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.miscellaneous import Max, Min
from sympy.functi... |
4da51eb4751f55613a0016d14bf9a5fa6dc4d3686c9e74907b70d7ca97441820 | from sympy import (
Rational, Symbol, N, I, Abs, sqrt, exp, Float, sin,
cos, symbols)
from sympy.matrices import eye, Matrix
from sympy.matrices.matrices import MatrixEigen
from sympy.matrices.common import _MinimalMatrix, _CastableMatrix
from sympy.core.singleton import S
from sympy.testing.pytest import raise... |
544b9380e78f7d36944da1a2e93ac53fdbf5eb1c09babe990d1048db9b6977f0 | from sympy import (
I, Rational, S, Symbol, simplify, symbols, sympify, expand_mul)
from sympy.matrices.matrices import (ShapeError, NonSquareMatrixError)
from sympy.matrices import (
ImmutableMatrix, Matrix, eye, ones, ImmutableDenseMatrix)
from sympy.testing.pytest import raises, XFAIL
from sympy.matrices.com... |
142655ea7ef4b1c95e10ea012db0a44c713aa2250429535422dcd3dc9a5f921e | from sympy.assumptions import Q
from sympy.core.add import Add
from sympy.core.function import Function
from sympy.core.numbers import I, Integer, oo, pi, Rational
from sympy.core.singleton import S
from sympy.core.symbol import Symbol, symbols
from sympy.functions.elementary.complexes import Abs
from sympy.functions.e... |
c2b20560d372ff7a7dbae16dcccefbc631ac161f3274d260a618af333419e441 | from sympy import symbols, I
from sympy.matrices.common import _MinimalMatrix, _CastableMatrix
from sympy.matrices.matrices import MatrixReductions
from sympy.testing.pytest import raises
from sympy.matrices import Matrix, zeros
from sympy.core.symbol import Symbol
from sympy.core.numbers import Rational
from sympy.fun... |
d7227cfac31e8079f793afcf1715b38572f25ea1d90ec52e02a093a86218a587 | from sympy import Rational, I, expand_mul, S, simplify
from sympy.matrices.matrices import NonSquareMatrixError
from sympy.matrices import Matrix, zeros, eye, SparseMatrix
from sympy.abc import x, y, z
from sympy.testing.pytest import raises
from sympy.testing.matrices import allclose
def test_LUdecomp():
testmat... |
8c3434e9e63bcfd42a0d3eae808ee27352e34b6ff242ddb1ae5aa13efa23c7f0 | from sympy.matrices.sparsetools import _doktocsr, _csrtodok, banded
from sympy import eye, ones, zeros, Matrix, SparseMatrix
from sympy.testing.pytest import raises
def test_doktocsr():
a = SparseMatrix([[1, 2, 0, 0], [0, 3, 9, 0], [0, 1, 4, 0]])
b = SparseMatrix(4, 6, [10, 20, 0, 0, 0, 0, 0, 30, 0, 40, 0, 0,... |
be7b88c8a6d589931af801c26773c8f476c22ffb7e2cd23bd20c1b66fcd1b73c | from sympy.matrices.common import _MinimalMatrix, _CastableMatrix
from sympy.matrices.matrices import MatrixSubspaces
from sympy.matrices import Matrix
from sympy.core.numbers import Rational
from sympy.core.symbol import symbols
from sympy.solvers import solve
class SubspaceOnlyMatrix(_MinimalMatrix, _CastableMatrix,... |
858e10b10ab89eaa7503c63dcb174132563255db0f7d29c0fcfd110ab5bb3c27 | import random
from sympy import (
Abs, Add, E, Float, I, Integer, Max, Min, Poly, Pow, PurePoly, Rational,
S, Symbol, cos, exp, log, oo, pi, signsimp, simplify, sin,
sqrt, symbols, sympify, trigsimp, tan, sstr, diff, Function, expand)
from sympy.matrices.matrices import (ShapeError, MatrixError,
NonSqu... |
827d65f7ca9d360edad9313c95b5bf635ae11da61ba0ac933ba823e42fb4d4ea | """ A module which handles Matrix Expressions """
from .slice import MatrixSlice
from .blockmatrix import BlockMatrix, BlockDiagMatrix, block_collapse, blockcut
from .funcmatrix import FunctionMatrix
from .inverse import Inverse
from .matadd import MatAdd
from .matexpr import (Identity, MatrixExpr, MatrixSymbol, ZeroM... |
30d8866aae3a577ed1faa624ac2110ca6508366261b8dc9c0516c485456bc92f | from __future__ import print_function, division
from sympy import Number
from sympy.core import Mul, Basic, sympify, S
from sympy.functions import adjoint
from sympy.strategies import (rm_id, unpack, typed, flatten, exhaust,
do_one, new)
from sympy.matrices.matrices import MatrixBase
from .inverse import Inve... |
71773333a00c3d94e039df5aa5b4d4d7fd5dd269bb13b176b293dcc62f5f6396 | from __future__ import print_function, division
from .matexpr import MatrixExpr, ShapeError, Identity, ZeroMatrix
from sympy.core import S
from sympy.core.sympify import _sympify
from sympy.matrices import MatrixBase
from .permutation import PermutationMatrix
class MatPow(MatrixExpr):
def __new__(cls, base, ex... |
618b315e357dbfb39ad833273b3bcf81a256d3a5004b09dcf69b47d2d96a85a5 | from __future__ import print_function, division
from typing import Any, Callable
from sympy.core.logic import FuzzyBool
from functools import wraps, reduce
import collections
from sympy.core import S, Symbol, Tuple, Integer, Basic, Expr, Eq, Mul, Add
from sympy.core.decorators import call_highest_priority
from sympy... |
c929a83f099d88e98b41c24049b699f9f8ec61cb6f9e3bcc67e6b6756cbced8c | from __future__ import print_function, division
from sympy.core import Mul, sympify
from sympy.matrices.expressions.matexpr import (
MatrixExpr, ShapeError, OneMatrix, ZeroMatrix
)
from sympy.strategies import (
unpack, flatten, condition, exhaust, rm_id, sort
)
def hadamard_product(*matrices):
"""
R... |
e52604081c45fd1b0c615908acb75d808078f48e0f392b5e0509af5525a5a066 | from __future__ import print_function, division
from sympy import ask, Q
from sympy.core import Basic, Add
from sympy.strategies import typed, exhaust, condition, do_one, unpack
from sympy.strategies.traverse import bottom_up
from sympy.utilities import sift
from sympy.utilities.misc import filldedent
from sympy.matr... |
d36166220a9f0d739f5c40a88dca73a3c920d439545f1c023604e37ada573f15 | from __future__ import print_function, division
from sympy.core.compatibility import reduce
from operator import add
from sympy.core import Add, Basic, sympify
from sympy.functions import adjoint
from sympy.matrices.matrices import MatrixBase
from sympy.matrices.expressions.transpose import transpose
from sympy.strat... |
6935db0274e211e1be6de446d29e8f29abf1f5987554fd08ea527cd0834e26f9 | from sympy.matrices.expressions import MatrixSymbol, MatAdd, MatPow, MatMul
from sympy.matrices.expressions.matexpr import GenericZeroMatrix, ZeroMatrix
from sympy.matrices import eye, ImmutableMatrix
from sympy.core import Add, Basic, S
from sympy.testing.pytest import XFAIL, raises
X = MatrixSymbol('X', 2, 2)
Y = Ma... |
f55219fea498b718fc0c823a20ee695fcd4d7646f312fad7f82b2e6f372eba40 | from sympy.core import I, symbols, Basic, Mul, S
from sympy.functions import adjoint, transpose
from sympy.matrices import (Identity, Inverse, Matrix, MatrixSymbol, ZeroMatrix,
eye, ImmutableMatrix)
from sympy.matrices.expressions import Adjoint, Transpose, det, MatPow
from sympy.matrices.expressions.matexpr im... |
c9e4bb1a7b057ff2dafc098611cf111416fad7c746f01b99c3394a0a75f618ba | 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)
from sympy.matrices.expressions import (MatrixSymbol, Identity,
Inverse, trace, Transpose, ... |
b3107b0f1ed40837320395ef498172fb20e35ce14c15821a7c3523dae931a28d | from sympy import (KroneckerDelta, diff, Piecewise, Sum, Dummy, factor,
expand, zeros, gcd_terms, Eq, Symbol)
from sympy.core import S, symbols, Add, Mul, SympifyError, Rational
from sympy.core.expr import unchanged
from sympy.functions import transpose, sin, cos, sqrt, cbrt, exp
from sympy.simplify... |
bdc373d536ff59d5b9af1dfe791a33c388f5b861b70215b7eee49317e926d088 | from sympy import (symbols, MatrixSymbol, MatPow, BlockMatrix, KroneckerDelta,
Identity, ZeroMatrix, ImmutableMatrix, eye, Sum, Dummy, trace,
Symbol)
from sympy.testing.pytest import raises, XFAIL
from sympy.matrices.expressions.matexpr import MatrixElement, MatrixExpr
k, l, m, n = symbols('k l m n', i... |
eef381d1ddffaee27f6994b674d098ea750f61ddc2b0df0f663d72238c183d59 | from sympy.core.expr import unchanged
from sympy.sets.fancysets import (ImageSet, Range, normalize_theta_set,
ComplexRegion)
from sympy.sets.sets import (FiniteSet, Interval, imageset, Union,
Intersection, ProductSet, Contains)
from sympy.simplify.simplify ... |
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