hash stringlengths 64 64 | content stringlengths 0 1.51M |
|---|---|
f9206dd4b04ddac948b089af4dec1e78e6efc777488ac23a2ad0f3ae95fd2efa | """Tests for Gosper's algorithm for hypergeometric summation. """
from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.combinatorial.factorials import (binomial, factorial)
from sympy.functions.elementary.miscellaneous import sqrt
fr... |
9e380b8f6689b9e5c203b74d621e3529fe31748f6dbea888f5ed78115e148fc1 | from sympy.concrete.products import (Product, product)
from sympy.concrete.summations import (Sum, summation)
from sympy.core.function import (Derivative, Function)
from sympy.core.mul import prod
from sympy.core import (Catalan, EulerGamma)
from sympy.core.numbers import (E, I, Rational, nan, oo, pi)
from sympy.core.r... |
9c24c29605fb650513b7573433bdd02791b2ea55f7ba018b36fe3e2bbf449bb9 | # This testfile tests SymPy <-> NumPy compatibility
# Don't test any SymPy features here. Just pure interaction with NumPy.
# Always write regular SymPy tests for anything, that can be tested in pure
# Python (without numpy). Here we test everything, that a user may need when
# using SymPy with NumPy
from sympy.extern... |
1ecdebead30f0ce8615374aa5704ad431c0b13ca686d708d911c7c342731a739 | from sympy.core.add import Add
from sympy.core.symbol import Symbol
from sympy.series.order import O
x = Symbol('x')
l = list(x**i for i in range(1000))
l.append(O(x**1001))
def timeit_order_1x():
Add(*l)
|
1a5c5b1a4d6e04f0ada4244a5c6996a91bf3e33c5e3a8e5ea09547b8fe06cb52 | from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.combinatorial.factorials import (binomial, factorial, subfactorial)
from sympy.functions.c... |
3b2ab7db24199c63500d2dae2776f2ddb67ecb81bd73d0457dd413715b96d913 | from sympy.core.containers import Tuple
from sympy.core.function import Function
from sympy.core.numbers import oo, Rational
from sympy.core.singleton import S
from sympy.core.symbol import symbols, Symbol
from sympy.functions.combinatorial.numbers import tribonacci, fibonacci
from sympy.functions.elementary.exponentia... |
9d9a948e7550f1de32923091c4fac6c58f6f0142e31c377563517864f9c17201 | from sympy.core import EulerGamma
from sympy.core.numbers import (E, I, Integer, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementa... |
1394729b2bdaf00cb4a31be8c59f91f16902d6ec52294f3d7216f6fc4a26f400 | from sympy.core.evalf import N
from sympy.core.function import (Derivative, Function, PoleError, Subs)
from sympy.core.numbers import (E, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import (LambertW, exp, log)
from symp... |
4ebf43de9fd2a5ab03743a12a5c1b2fd0c07f4fe4b8e0594ff2a08acd43774a1 | from itertools import product
from sympy.concrete.summations import Sum
from sympy.core.function import (Function, diff)
from sympy.core import EulerGamma
from sympy.core.numbers import (E, I, Rational, oo, pi, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions... |
5eabfc3b207fcf71ab0d46bd61dc7263df2fabf5ebc2230acf0329a8ac7c5c54 | from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol, symbols)
from sympy.functions.elementary.hyperbolic import (cosh, coth, csch, sech, sinh, tanh)
from sympy.functions.elementary.... |
2ffc5319f0554abc2bdda3269f2cbbfcb19110c9e5f94417ec2bf273976d89f9 | from sympy.core.function import (Subs, count_ops, diff, expand)
from sympy.core.numbers import (E, I, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.hyperbolic import (cosh, co... |
086e47ff149bb7065a9232f32fe10483e4fd8f618e5329425396202ec6c79b60 | from sympy.core.function import Function
from sympy.core.mul import Mul
from sympy.core.numbers import (E, I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol, symbols)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscella... |
3f5392ea77c659a83d09cce0396cf573d72ee6753052ec851aaa7fa1c9311c41 | from sympy.core.random import randrange
from sympy.simplify.hyperexpand import (ShiftA, ShiftB, UnShiftA, UnShiftB,
MeijerShiftA, MeijerShiftB, MeijerShiftC, MeijerShiftD,
MeijerUnShiftA, MeijerUnShiftB, MeijerUnShiftC,
MeijerUnShiftD,
... |
262f220886a98f020ca8ce19ed52bcb016e118bd838ab1180cb7d0618f526134 | from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.expr import unchanged
from sympy.core.function import (count_ops, diff, expand, expand_multinomial, Function, Derivative)
from sympy.core.mul import Mul, _keep_coeff
from sympy.core import GoldenR... |
560027089ef6b5fb760281fa67301364ac0b23490309b8fe692dcd59d109fb7f | from functools import reduce
import itertools
from operator import add
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.function import Function
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.relational import Eq
from sympy.core.singleton import S
... |
df670f466b46fbf333f60d369669a7f8f5830f727f2aeeacc4bc48514ed6ab11 | from sympy.core.function import Function
from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.combinatorial.factorials import (rf, binomial, factorial)
from sympy.functions.elementary.exponential import exp
from sympy.functions.eleme... |
0b1899dce0692db396f930cdd0179668b4dacf420f1839d8065ce419a82e0412 | import math
from sympy.core.containers import Tuple
from sympy.core.numbers import nan, oo, Float, Integer
from sympy.core.relational import Lt
from sympy.core.symbol import symbols, Symbol
from sympy.functions.elementary.trigonometric import sin
from sympy.matrices.dense import Matrix
from sympy.matrices.expressions.m... |
12e4708fd534d222dcdbefaab58d980fb4e92029dd434815b025d3607ac81614 | from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.codegen.cfunctions import (
expm1, log1p, exp2, log2, fma, log10, Sqrt, Cbrt, hypot
)
from sympy.core.function imp... |
f862587b3a9cb90dca52afc8a821090166becd600f58592ed9674b8fb0289eb7 | from sympy.core import symbols
from sympy.crypto.crypto import (cycle_list,
encipher_shift, encipher_affine, encipher_substitution,
check_and_join, encipher_vigenere, decipher_vigenere,
encipher_hill, decipher_hill, encipher_bifid5, encipher_bifid6,
bifid5_square, bifid6_square, bifid5, bifid6,
... |
1185c1a7b921d8b66ae9523d03e7fe6cd5b14373deb03a7a68a531db6848eda2 | """
General binary relations.
"""
from typing import Optional
from sympy.core.singleton import S
from sympy.assumptions import AppliedPredicate, ask, Predicate, Q # type: ignore
from sympy.core.kind import BooleanKind
from sympy.core.relational import Eq, Ne, Gt, Lt, Ge, Le
from sympy.logic.boolalg import conjuncts, ... |
ce9072002a5afed1749d5341d09feb25e8675e41ed93185c867d43be45554beb | from sympy.assumptions import Predicate, AppliedPredicate, Q
from sympy.core.relational import Eq, Ne, Gt, Lt, Ge, Le
from sympy.multipledispatch import Dispatcher
class CommutativePredicate(Predicate):
"""
Commutative predicate.
Explanation
===========
``ask(Q.commutative(x))`` is true iff ``x`... |
52c66ee91165ca04d8c2a9f1dc48a26b0d42a2af5418c1df2c1cb219def05014 | 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 assuming, global_assumptions, Predicate
from sympy.assumptions.cnf import CNF, Literal
from sympy.assumptions.facts import (single_... |
c4b10d027b5b6ee84f17bbc7dda0d140f63da6228c1fee521afc35ca30dc71ca | """
This module implements some special functions that commonly appear in
combinatorial contexts (e.g. in power series); in particular,
sequences of rational numbers such as Bernoulli and Fibonacci numbers.
Factorials, binomial coefficients and related functions are located in
the separate 'factorials' module.
"""
fr... |
d70e7cb1f24967d7d432691d79c241fa16d2d86286de275a063f8f0e1f7a102c | from typing import Tuple as tTuple
from sympy.core.add import Add
from sympy.core.basic import sympify, cacheit
from sympy.core.expr import Expr
from sympy.core.function import Function, ArgumentIndexError, PoleError, expand_mul
from sympy.core.logic import fuzzy_not, fuzzy_or, FuzzyBool, fuzzy_and
from sympy.core.num... |
fa344abeb70e90513f3ca66f27dacc5e77ef3b65902024a05c629d58630c9e88 | from sympy.core import Function, S, sympify, NumberKind
from sympy.utilities.iterables import sift
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.cor... |
35e7aea270621765fcff4d7b1f5106beccbd2ecc0259100cf957bf762954b24f | from sympy.core import S, Function, diff, Tuple, Dummy
from sympy.core.basic import Basic, as_Basic
from sympy.core.numbers import Rational, NumberSymbol
from sympy.core.parameters import global_parameters
from sympy.core.relational import (Lt, Gt, Eq, Ne, Relational,
_canonical, _canonical_coeff)
from sympy.core.s... |
a727af32187b49ece5d58374a40b49b376d9769aed17db90600d9ef01e318b19 | from typing import Tuple as tTuple
from sympy.core.basic import Basic
from sympy.core.expr import Expr
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
f... |
9159a54b3cdc73a77912c5153c168190754fcb0f9f1e6a82d3f847eb1a2b6758 | from typing import Tuple as tTuple
from sympy.core.expr import Expr
from sympy.core import sympify
from sympy.core.add import Add
from sympy.core.cache import cacheit
from sympy.core.function import (Function, ArgumentIndexError, expand_log,
expand_mul, FunctionClass, PoleError, expand_multinomial, expand_complex)... |
6a5137c3838c0289d6083406acb10a681a4b04a58b1376633e0f16488aebf0a8 | from sympy.core.logic import FuzzyBool
from sympy.core import S, sympify, cacheit, pi, I, Rational
from sympy.core.add import Add
from sympy.core.function import Function, ArgumentIndexError
from sympy.functions.combinatorial.factorials import factorial, RisingFactorial
from sympy.functions.elementary.exponential impo... |
fa71512340dea1400cfdc32ca5ade6e70c5de71f971389e9f38b5a49ec12b933 | from sympy.core import Add, S, sympify, Dummy, expand_func
from sympy.core.expr import Expr
from sympy.core.function import Function, ArgumentIndexError, PoleError
from sympy.core.logic import fuzzy_and, fuzzy_not
from sympy.core.numbers import Rational, pi, oo, I
from sympy.core.power import Pow
from sympy.functions.s... |
feec2a06297889b8eaa4dfafe2bd4e2facf274573fbd7b000376dc4ecfdca3e4 | from sympy.core import S, Integer
from sympy.core.function import Function
from sympy.core.logic import fuzzy_not
from sympy.core.mul import prod
from sympy.core.relational import Ne
from sympy.core.sorting import default_sort_key
from sympy.external.gmpy import SYMPY_INTS
from sympy.utilities.iterables import has_dups... |
1ba24a0d556fa13367bf42ec0c9b1ef2f4079a98cc1cc20c539cd83b498035ca | import string
from sympy.concrete.products import Product
from sympy.concrete.summations import Sum
from sympy.core.function import (diff, expand_func)
from sympy.core import (EulerGamma, TribonacciConstant)
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol ... |
bd03ee37fbc9c417eeb8d1631e5e8534647b472e3daa8a932c22be6b7604d4ab | from sympy.assumptions.refine import refine
from sympy.calculus.accumulationbounds import AccumBounds
from sympy.concrete.products import Product
from sympy.concrete.summations import Sum
from sympy.core.function import expand_log
from sympy.core.numbers import (E, Float, I, Rational, nan, oo, pi, zoo)
from sympy.core.... |
ccc58cab84c9e4535b1fe99a77f4840ab0c93737c8bef4260fc1b887561bdea0 | from sympy.calculus.accumulationbounds import AccumBounds
from sympy.core.numbers import (E, Float, I, Rational, nan, oo, pi, zoo)
from sympy.core.relational import (Eq, Ge, Gt, Le, Lt, Ne)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.combinatorial.factorials i... |
246054e0cec04f3835508f3c58fbf570f3ef4252465e685794438fd493d79830 | from sympy.calculus.accumulationbounds import AccumBounds
from sympy.core.add import Add
from sympy.core.function import (Lambda, diff)
from sympy.core.mul import Mul
from sympy.core.numbers import (E, Float, I, Rational, nan, oo, pi, zoo)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.c... |
dc3b58d10415ec5eb9db5e585a8d8cdc2304b92c3ce9db128b3bcadd5403aa95 | from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.function import (Function, diff, expand)
from sympy.core.mul import Mul
from sympy.core.numbers import (Float, I, Rational, oo, pi, zoo)
from sympy.core.rel... |
ab51e9bb558c43674a588701e26fdb0f2c1b25aac418d1da8992c4e18534e0f6 | import itertools as it
from sympy.core.expr import unchanged
from sympy.core.function import Function
from sympy.core.numbers import I, oo, Rational
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.external import import_module
from sympy.functions.ele... |
a05ca412d5051a5e1bcdb2e59333e26c898facc1bad8202190c4316ded2d5445 | from sympy.calculus.accumulationbounds import AccumBounds
from sympy.core.function import (expand_mul, expand_trig)
from sympy.core.numbers import (E, I, Integer, Rational, nan, oo, pi, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes impo... |
1d12bdfd11c54f4cd0899507ba238fdb5d02c32c72f6746e1552e518384a97d1 | from sympy.core.containers import Tuple
from sympy.core.function import Derivative
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous imp... |
7ea27217d5217b2df5543ec673bdf57f25ef900f2c096d2858fcf327ee3ab2a9 | from sympy.concrete.summations import Sum
from sympy.core.function import expand_func
from sympy.core.numbers import (Float, I, Rational, nan, oo, pi, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.complexes import (Abs, polar_lift)
from sympy.functions.elem... |
d62688adca57e3dff86a1f4bbd85fb45c48ed801b189949f29d6542ff8cce4ae | from itertools import product
from sympy.concrete.summations import Sum
from sympy.core.function import (diff, expand_func)
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import (conjugate... |
01acd960ca30f6ccdbbc2fd67cad747398fe2d0440ce7a3a57558909bb69e0c5 | from sympy.core.numbers import (I, Rational, oo, pi, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol)
from sympy.functions.elementary.hyperbolic import atanh
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (sin, tan)
fro... |
4112a5e058d71068c33798815a6154a73b9bbc743af101fae23c43b3d597581f | from sympy.core.function import expand_func
from sympy.core import EulerGamma
from sympy.core.numbers import (I, Rational, nan, oo, pi, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol)
from sympy.functions.combinatorial.factorials import factorial
from sympy.functions.combinatorial.... |
e41b29b9183fcbaab8e2f884ecf8420b0766e81bfcdd1ff5cf8f03e792102ccd | from sympy.core.function import (diff, expand, expand_func)
from sympy.core import EulerGamma
from sympy.core.numbers import (E, Float, I, Rational, nan, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import (conjugate, im, polar_lift... |
952ac802db94e1f1e599ef6b88381e421c3fafccb744e20c5cd71d42484e30c4 | 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... |
64d6d141422975add6de9d507bb55bafc81e777994c67c19e25bf9b72cdd5c29 | from sympy.core import Add, Mul, S
from sympy.core.containers import Tuple
from sympy.core.exprtools import factor_terms
from sympy.core.numbers import I
from sympy.core.relational import Eq, Equality
from sympy.core.sorting import default_sort_key, ordered
from sympy.core.symbol import Dummy, Symbol
from sympy.core.fu... |
5ad791984388f2306a0e2e3fd663a0c7dae9949d40d17c0dba1938871bdb4ea8 | 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, Integer)
from sympy.core.relational import (Eq, Gt, Ne, Ge)
from sympy.core.singleton import S
from sympy.core.sorting import or... |
5f2c9edcf9001e3d28a3fdfd2efdd51ba1b13704d9f03278687e45cf6f2d2ace | from sympy.assumptions.ask import (Q, ask)
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.function import (Derivative, Function, diff)
from sympy.core.mul import Mul
from sympy.core import (GoldenRatio, TribonacciConstant)
from sympy.core.numbers import (E, Float, I, Rational, oo... |
167448c0ce98f23c14231f78ebea29c9a6fc4fd8747324311e401c03fd64b81e | from sympy.core.function import (Function, Lambda, expand)
from sympy.core.numbers import (I, Rational)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.combinatorial.factorials import (rf, binomial, factorial)
from sympy.functi... |
6b1d9fd3998509db93bb48f7c06f646b5dcd29c00d345ecafd15f6bd74a5ff2b | from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.numbers import (Rational, oo, pi)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.matrices.dense import Matrix
from sympy.ntheory.factor_ import factorint
from sympy.sim... |
f24f0c06de0b80893d4585adcd36636ce95e2b0ae97be4dd572519394dc67f56 | from sympy.core.random import randint
from sympy.core.function import Function
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Rational, oo)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions.elementary.exponentia... |
569c4466ce696cebc1e3f071fe3c8d81d57e96ee0d561cf2df118b2e75e41105 | from sympy.core.function import (Derivative, Function, Subs, diff)
from sympy.core.numbers import (I, Rational, 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 (im, re)
from sympy.functions.eleme... |
4f38ed33f396976f1e2769b25ac2bc538ac247f6eb6e50eb6d50e14a57f4415f | #
# 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... |
c0d0a340528de0441a7aed85d10cb483f21e5da63bda05e5a83b7fc5f21524b3 | from sympy.core.numbers import (E, Rational, pi)
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.core import S, symbols, I
from sympy.discrete.convolutions import (
convolution, convolution_fft, convolution_ntt, convolution_fwht,
convol... |
bc439115a3efc663d2b30d1fe19da12c4375c03d0577240e6070c463d6959b90 | from sympy.functions.elementary.miscellaneous import sqrt
from sympy.core import S, Symbol, symbols, I, Rational
from sympy.discrete import (fft, ifft, ntt, intt, fwht, ifwht,
mobius_transform, inverse_mobius_transform)
from sympy.testing.pytest import raises
def test_fft_ifft():
assert all(tf(ls) == ls for t... |
a492c04e6c2109d510e65fedb2c8ab95073d9c9108488f4526353a206504d78d | from sympy.core.numbers import (E, I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import (Abs, re)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import sqrt
fr... |
6bf472da7297e566e149ed419369345baf9558ea554e0d059c0f6ef2b352215e | from sympy.core.numbers import (E, Rational, oo, pi, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import (Max, Min, sqrt)
from sympy.functions.elementary.trigonometric import (cos,... |
449fdacd15710b27dd4276927b3679d1fffe73c03ab854b96ec7f34fb9d44446 | from sympy.core.singleton import S
from sympy.strategies.rl import (rm_id, glom, flatten, unpack, sort, distribute,
subs, rebuild)
from sympy.core.basic import Basic
def test_rm_id():
rmzeros = rm_id(lambda x: x == 0)
assert rmzeros(Basic(S(0), S(1))) == Basic(S(1))
assert rmzeros(Basic(S(0), S(0))... |
f5b5975f52c9df9ef45cf20fe6e3c7ce1b251d0895f4073b6361fe08a4f0dbe2 | from sympy.strategies.tools import subs, typed
from sympy.strategies.rl import rm_id
from sympy.core.basic import Basic
from sympy.core.singleton import S
def test_subs():
from sympy.core.symbol import symbols
a,b,c,d,e,f = symbols('a,b,c,d,e,f')
mapping = {a: d, d: a, Basic(e): Basic(f)}
expr = Basi... |
adb61a79da1456ad3143a93fa488128aebd65063d119c2c69c37ed4c4b450374 | from sympy.strategies.traverse import (top_down, bottom_up, sall, top_down_once,
bottom_up_once, basic_fns)
from sympy.strategies.rl import rebuild
from sympy.strategies.util import expr_fns
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.numbers import Integer
from sympy.core.... |
f65d3bedb0246369b6107e19ad1f928f23b517ad0cf1d55c3fa7f23eb087b855 | from sympy.strategies.branch.tools import canon
from sympy.core.basic import Basic
from sympy.core.numbers import Integer
from sympy.core.singleton import S
def posdec(x):
if isinstance(x, Integer) and x > 0:
yield x-1
else:
yield x
def branch5(x):
if isinstance(x, Integer):
if 0 <... |
289ae32a94573312d8b5c1061a3545a0343bbcb4b7786f0e203aa8f3fe18155e | from sympy.core.basic import Basic
from sympy.core.numbers import Integer
from sympy.core.singleton import S
from sympy.strategies.branch.traverse import top_down, sall
from sympy.strategies.branch.core import do_one, identity
def inc(x):
if isinstance(x, Integer):
yield x + 1
def test_top_down_easy():
... |
10f2ec85cb48fbbdb344e77d05c9635f9d1addcb6811c3ed867cbf30a5b66b6b | from textwrap import dedent
import sys
from subprocess import Popen, PIPE
import os
from sympy.core.singleton import S
from sympy.testing.pytest import raises
from sympy.utilities.misc import translate, replace, ordinal, rawlines, strlines, as_int
def test_translate():
abc = 'abc'
assert translate(abc, None,... |
e80df8d334d3f15dc74955af48851fbfc0650268242602c1b63580ed864647de | """ 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.assumptions.ask import Q, ask
from sympy.assumptions.refine import re... |
ff8384ccb70ab0148d4a28b9b9acb9b2d4fce56afa6401fb7a4679e7a0e979d1 | import itertools
from sympy.core import S
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.function import Function
from sympy.core.mul import Mul
from sympy.core.numbers import Number, Rational
from sympy.core.power import Pow
from sympy.core.sorting import default_sort_key
from ... |
0beb83a16aacea9c4c5e775deae6bb4db418472f22e5f6e9b0a2a96edc8cbf4b | """Prettyprinter by Jurjen Bos.
(I hate spammers: mail me at pietjepuk314 at the reverse of ku.oc.oohay).
All objects have a method that create a "stringPict",
that can be used in the str method for pretty printing.
Updates by Jason Gedge (email <my last name> at cs mun ca)
- terminal_string() method
- minor f... |
c63a864485de22578fb5696a04c39c89b3576b0156874fd847301635f2c7f5fd | from sympy.algebras.quaternion import Quaternion
from sympy.assumptions.ask import Q
from sympy.calculus.accumulationbounds import AccumBounds
from sympy.combinatorics.partitions import Partition
from sympy.concrete.summations import (Sum, summation)
from sympy.core.add import Add
from sympy.core.containers import (Dic... |
66a19dea2f7d53c706583976ac75e9d9a44dbcec4456fa3717a79f6922b790f5 | from sympy.core import (
S, pi, oo, symbols, Rational, Integer, Float, Mod, GoldenRatio, EulerGamma, Catalan,
Lambda, Dummy, nan, Mul, Pow, UnevaluatedExpr
)
from sympy.core.relational import (Eq, Ge, Gt, Le, Lt, Ne)
from sympy.functions import (
Abs, acos, acosh, asin, asinh, atan, atanh, atan2, ceiling, c... |
31029f2ec339092abdbf82393026a473560f21e862f85f256ae2710c6590394e | from sympy.algebras.quaternion import Quaternion
from sympy.calculus.accumulationbounds import AccumBounds
from sympy.combinatorics.permutations import Cycle, Permutation, AppliedPermutation
from sympy.concrete.products import Product
from sympy.concrete.summations import Sum
from sympy.core.containers import Tuple, Di... |
c7821c92b3313a54b3b7a0b1185a4774dda5e8e5e5ef3adcc481f09fe2b1792f | from sympy.calculus.accumulationbounds import AccumBounds
from sympy.concrete.summations import Sum
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.function import Derivative, Lambda, diff, Function
from sympy.core.numbers import (zoo, Float, Integer, I, oo, pi, E,
Rationa... |
4d202d8062202bf25b63e44c6d0814be7008f3b489a9e24eab370b8c0a1b84a3 | from sympy.printing.dot import (purestr, styleof, attrprint, dotnode,
dotedges, dotprint)
from sympy.core.basic import Basic
from sympy.core.expr import Expr
from sympy.core.numbers import (Float, Integer)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.printing.rep... |
69f449a45703ab15dd7212a90681485f09ee3772566686885242351e4f64effa | # -*- coding: utf-8 -*-
from sympy.concrete.products import Product
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.containers import (Dict, Tuple)
from sympy.core.function import (Derivative, Function, Lambda, Subs)
from sympy.core.mul import ... |
fbefd0237fbeafdb1d1806c91a8b8f70589be96de52608772a941fc18f24089e | """
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.concrete.summations import Sum
from sympy.core.add import Add
from sy... |
ad2bd192cd3f977ea814eb3c315abb8e0ddd9eb3b631348aac176d65ee63a138 | from sympy.external import import_module
matchpy = import_module("matchpy")
from sympy.utilities.decorator import doctest_depends_on
from sympy.core.symbol import Symbol
from sympy.utilities.matchpy_connector import Wildcard
@doctest_depends_on(modules=('matchpy',))
class matchpyWC(Wildcard, Symbol):
def __init__... |
05c1257e15af23465da2b3bf1a482b5e0866caaf323152c654f32508b410c3ed | from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.function import (Derivative, Function, diff)
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.relational import Ne
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import (... |
21c0fd9a06751f7f12e16691187e915ed69460479842c1d8fa6f5b3e40406338 | from sympy.concrete.summations import (Sum, summation)
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.expr import Expr
from sympy.core.function import (Derivative, Function, Lambda, diff)
from sympy.core import EulerGamma
from sympy.core.numbers import (E, Float, I, Rational, nan... |
60ea54a0419fb0714cbe1ef7bdc7253e798d630b2abeaab3410c6dc8ca645bf2 | from sympy.core.function import expand_func
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.sorting import default_sort_key
from sympy.functions.elementary.exponential import (exp, exp_polar, log)
from sympy.functions.elementary.hyperbolic import cosh
from sympy.f... |
253aea386ba27e68af2d991a73f7ff0b1f406c83b262cc8a9ef01526e3d20550 | from sympy.integrals.transforms import (mellin_transform,
inverse_mellin_transform, laplace_transform,
inverse_laplace_transform, fourier_transform, inverse_fourier_transform,
sine_transform, inverse_sine_transform,
cosine_transform, inverse_cosine_transform,
hankel_transform, inverse_hankel_transfo... |
eac34e9246663af0803d3c17add53a85e8431657976326a485e5f62906941d66 | from sympy.core.numbers import (I, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions.elementary.exponential import log
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import atan
from sympy.integrals.i... |
d816661036ac771ff797ae3ef618a802bcac0e3e8d979db41a940ddb19c413f0 | """Most of these tests come from the examples in Bronstein's book."""
from sympy.integrals.risch import DifferentialExtension, derivation
from sympy.integrals.prde import (prde_normal_denom, prde_special_denom,
prde_linear_constraints, constant_system, prde_spde, prde_no_cancel_b_large,
prde_no_cancel_b_small, ... |
d83148dad81132c8c76f0dad4184418802ffc2f7ccdc88065fdcf139bb2f9343 | """
Parser for FullForm[Downvalues[]] of Mathematica rules.
This parser is customised to parse the output in MatchPy rules format. Multiple
`Constraints` are divided into individual `Constraints` because it helps the
MatchPy's `ManyToOneReplacer` to backtrack earlier and improve the speed.
Parsed output is formatted ... |
e2c87f04565d3247edc337d536b94a8401b5742569c18a62f8e9997e5f4e8307 | from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.sorting import default_sort_key
from sympy.core.symbol import symbols
from sympy.core.singleton import S
from sympy.core.function import expand, Function
from sympy.core.numbers import I
from sympy.integrals.integrals import Inte... |
3e551eae58a3293c5898cdc6011069d5030b933565cf4b4ca264ba4e66703728 | from sympy.calculus.accumulationbounds import AccumBounds
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.containers import (Dict, Tuple)
from sympy.core.function import (Derivative, Function, Lambda, Subs)
from sympy.core.mul import Mul
from sympy.core.numbers import (Float, I, Intege... |
e0570590bc92058184396fe1bff9e2424be673f51c8aa42df5a00866b96f7412 | from sympy.assumptions.refine import refine
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.expr import (ExprBuilder, unchanged, Expr,
UnevaluatedExpr)
from sympy.core.function import (Function, expan... |
68e27a2008b166c34fc9e89b4e8ea27bfb50a4de1febd050381a384619f65d76 | """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
from sympy.assumptions.ask import Q
from sympy.core.basic import Ba... |
58800a5e77f76d033780e40219ac42d9b7f9e757a2bd8bae36dfa0420f29893c | import numbers as nums
import decimal
from sympy.concrete.summations import Sum
from sympy.core import (EulerGamma, Catalan, TribonacciConstant,
GoldenRatio)
from sympy.core.containers import Tuple
from sympy.core.logic import fuzzy_not
from sympy.core.mul import Mul
from sympy.core.numbers import (mpf_norm, mod_in... |
9d51544c228e7c35ea860888c1e277a5b94db4c6669b91227cd54484867c90c2 | from sympy.concrete.summations import Sum
from sympy.core.basic import Basic, _aresame
from sympy.core.cache import clear_cache
from sympy.core.containers import Dict, Tuple
from sympy.core.expr import Expr, unchanged
from sympy.core.function import (Subs, Function, diff, Lambda, expand,
nfloat, Derivative)
from sy... |
83431f314c334e0e96799de30ee147e4315094a5e3c2e5774137db53e0ed5956 | """This tests sympy/core/basic.py with (ideally) no reference to subclasses
of Basic or Atom."""
import collections
from sympy.assumptions.ask import Q
from sympy.core.basic import (Basic, Atom, as_Basic,
_atomic, _aresame)
from sympy.core.containers import Tuple
from sympy.core.function import Function, Lambda
f... |
81a26d2c795b12264ab51299e01a43a7b0392d1a55a86d724b65a5a493684b13 | from sympy.core.mul import Mul
from sympy.core.numbers import (I, Rational as R, pi)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy... |
a141a3df0c93963f68670efa8be028de79b28fc1017dd1fe22877e70df368752 | import random
from sympy.core.symbol import Symbol, symbols
from sympy.functions.elementary.trigonometric import sin, acos
from sympy.abc import x
def test_random():
random.seed(42)
a = random.random()
random.seed(42)
Symbol('z').is_finite
b = random.random()
assert a == b
got = set()
... |
4c8d7ada63205b1f24a788a5567c52161eed196fc9c4f28c13c9a01a51109243 | """Tests for tools for manipulating of large commutative expressions. """
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.containers import (Dict, Tuple)
from sympy.core.function import Function
from sympy.core.mul import Mul
from sympy.core.n... |
e7e940bbbb2d96aa668f389c054d12e41a311489fa3e467db3028b0f1ef8058c | from sympy.core import (
Basic, Rational, Symbol, S, Float, Integer, Mul, Number, Pow,
Expr, I, nan, pi, symbols, oo, zoo, N)
from sympy.core.parameters import global_parameters
from sympy.core.tests.test_evalf import NS
from sympy.core.function import expand_multinomial
from sympy.functions.elementary.miscella... |
9baff8e9714e9d1b85d888e6a424e972859f8922d8132de23412a47f439cbfca | from sympy.core.mod import Mod
from sympy.core.numbers import (I, oo, pi)
from sympy.functions.combinatorial.factorials import factorial
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (asin, sin... |
4c798408b451ecc7c621fae676a925de34a1f95d71f1a934c25e34c4789979f2 | from sympy.core.logic import fuzzy_and
from sympy.core.sympify import _sympify
from sympy.multipledispatch import dispatch
from sympy.testing.pytest import XFAIL, raises, warns_deprecated_sympy
from sympy.assumptions.ask import Q
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.expr imp... |
401147eee5d42468660f76e4390b17afc3d1ad076915c766deb735da4d90baaf | 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... |
d519293b405f5b6f2c78561526ca5a27ef8bb08e5f1c077078dde73bb0badce8 | 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... |
6f77047324e7df3f33630bfb9f55df0aa91680a001dd2f966c0821302ec3e050 | """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... |
fa77f3b1f55214b9973b06888dc395d4c2c4b1178883824f5558c92ab32a6932 | """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.... |
38789876f49e0231fe62d8271d15fa102aea95f21d07dceef41498a2f6959114 | """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,... |
0dacfdccb0e19c6c8cb68fb415f1725ecdadab88484755a8e793726c160fe27f | """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... |
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