hash stringlengths 64 64 | content stringlengths 0 1.51M |
|---|---|
6dc525e2d67975e58307bf6fdd57e914412b64777265256a4fd8899c5a0de4eb | 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... |
e990edf97fa0072151e784e9497b365f3f7f7baa17c246948721d1920561a085 | """ Elliptic Integrals. """
from sympy.core import S, pi, I, Rational
from sympy.core.function import Function, ArgumentIndexError
from sympy.core.symbol import Dummy
from sympy.functions.elementary.complexes import sign
from sympy.functions.elementary.hyperbolic import atanh
from sympy.functions.elementary.miscellane... |
cd3143634bc11627cd065576420a3c7a3d120c4169755e7e1dc77a99df1cb4dd | """ This module contains various functions that are special cases
of incomplete gamma functions. It should probably be renamed. """
from sympy.core import Add, S, sympify, cacheit, pi, I, Rational, EulerGamma
from sympy.core.function import Function, ArgumentIndexError, expand_mul
from sympy.core.relational import... |
be2df708965cb39047c6a7c7edd38e7bd2c260e102c1f726e85ebd364cee30d9 | """
This module mainly implements special orthogonal polynomials.
See also functions.combinatorial.numbers which contains some
combinatorial polynomials.
"""
from sympy.core import Rational
from sympy.core.function import Function, ArgumentIndexError
from sympy.core.singleton import S
from sympy.core.symbol import D... |
278e8bbd1c533ff5d88353af128bf62cb8eab63823b12a7ccdc57f006b6865d4 | from sympy.concrete.products import Product
from sympy.core.function import expand_func
from sympy.core.mod import Mod
from sympy.core.mul import Mul
from sympy.core import EulerGamma
from sympy.core.numbers import (Float, I, Rational, nan, oo, pi, zoo)
from sympy.core.relational import Eq
from sympy.core.singleton imp... |
81cf27d196a70ac6dc4ce515c4c9499b4fd8650a75006f910469b84a7ec79636 | 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 ... |
3c50586bd78ca2f1f95ce14de574f15abd550e3d440682b09f8980b63fbf0dd3 | from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
x, y = symbols('x,y')
e = exp(2*x)
q = exp(3*x)
def timeit_exp_subs():
e.subs(q, y)
|
483d2ac38aea8c8db3f5a7ea52682e7fd77e0d0329281b3cacd6b8070d93fa7a | from sympy.assumptions.refine import refine
from sympy.calculus.util 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.power import P... |
190c653a75774eda5e314bd4f054e65b7b8365152d56358bcefabadc1c0ba8f5 | from sympy.calculus.util 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 import factoria... |
3d7813ba7e908a7a7b8a40cb4caaafe5448fdc6d31f9975f3c7e18be945d253f | from sympy.calculus.util 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.core.symbol imp... |
41ee78b42dc4180c33e3491d3e7f13c3b659903ecad513301925871a9e2f0a17 | from sympy.core.expr import Expr
from sympy.core.function import (Derivative, Function, Lambda, expand)
from sympy.core.numbers import (E, I, Rational, comp, nan, oo, pi, zoo)
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.ele... |
a7ee40628aac318b165fe35258f32ae17b18c49967176876a45bff3c1582d5d5 | 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... |
cb073b70826122bb1a1425031fe6eefed2eedd3ff815aa91de8bfb0187f7547b | 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... |
dd209f706cd7c6522f0d4ecf1c7180703baa85aa93ae3564f41979a6a1b876b0 | from sympy.calculus.util 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 import (im, re)
fr... |
7411e76a0c9f0c45ec4169715735a9aa008176224cd28508bf640e35b118a3db | # This test file tests the SymPy function interface, that people use to create
# their own new functions. It should be as easy as possible.
from sympy.core.function import Function
from sympy.core.sympify import sympify
from sympy.functions.elementary.hyperbolic import tanh
from sympy.functions.elementary.trigonometric... |
c3302829371cb84686e31ac46139587c826e2e2de4513313109f62035d775a88 | from sympy.core.symbol import symbols
from sympy.functions.special.spherical_harmonics import Ynm
x, y = symbols('x,y')
def timeit_Ynm_xy():
Ynm(1, 1, x, y)
|
d03d92233453dbf2a4b8e834499ca8d7f490ef62df11d94e5e46b189e1543a6f | from sympy.core.relational import Ne
from sympy.core.symbol import (Dummy, Symbol, symbols)
from sympy.functions.elementary.complexes import (adjoint, conjugate, transpose)
from sympy.functions.elementary.piecewise import Piecewise
from sympy.functions.special.tensor_functions import (Eijk, KroneckerDelta, LeviCivita)
... |
e94620ec8a974e2f1f7123aeb7c4c4ccd564c480387dff82c86db6a899db2180 | from sympy.functions import bspline_basis_set, interpolating_spline
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.piecewise import Piecewise
from sympy.logic.boolalg import And
from sympy.sets.sets import Interval
from sy... |
73408b1e14d8e18728619f0e0d7bd4cd5fc861ba160a64a61252916d22998bcc | 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... |
a6aa056e70bce0d0cbe844248a016dc79390d51158a697244e3cec9bd5d3d0f6 | from sympy.core.function import diff
from sympy.functions.elementary.complexes import conjugate
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.functions.special.mathieu_functions import (mathieuc, mathieucprime, mathieus, mathieusprim... |
b88b143a206fcc913782f028cee104caf405c4b2f01edd992ed30281b6359fd4 | from sympy.core.numbers import (I, nan, oo, pi)
from sympy.core.relational import (Eq, Ne)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import (adjoint, conjugate, sign, transpose)
from sympy.functions.elementary.miscellaneous import sqrt
f... |
e79ffe5e666c306d7ef0e089067dceb57f9527d91524db2b5817a9f6bbd567b9 | from sympy.core.function import (diff, expand_func)
from sympy.core.numbers import I
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions.elementary.complexes import conjugate
from sympy.functions.special.beta_functions import (beta, betainc, betainc_regularized)
from sympy.functions.special.gamma_functi... |
a5416d16934f067253767aa8bb48e78927218a3ca1d6b7732aff07db8453f455 | from sympy.core.function import diff
from sympy.core.numbers import (I, pi)
from sympy.core.symbol import Symbol
from sympy.functions.elementary.complexes import conjugate
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.tri... |
f41dee4fc8d1923a18f332453195fef0c2f90251b319fdb1b3c18ad02df2bb2e | 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... |
5f48ccda3773797d162a2ef04d4552a75a88906bd22dff3260ffc68c8e086433 | 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... |
b6a30940838eb01aef79772d5cf90f14861d4e11bec302ac8df7511ec844a5fc | from sympy.core.function import (Derivative, diff)
from sympy.core.numbers import (Float, I, nan, oo, pi)
from sympy.core.relational import Eq
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.piecewise import Piecewise
from sympy.functions.special.delta_functions import (DiracDelta, Heavi... |
73b778e3735fb1c38b2b1e5fae177b2e8e405de132c94270b6791394d016ea00 | 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... |
d3e42eefce3a82357506e5695e9fdf59a859aca7bb9d01f0e4feff4b8ba633db | from sympy.concrete.summations import Sum
from sympy.core.function import (Derivative, diff)
from sympy.core.numbers import (Rational, oo, pi, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol)
from sympy.functions.combinatorial.factorials import (RisingFactorial, binomial, factorial)... |
a51dd60bf85893c5189644d02c25c5c91802770aac486fc40789ba6b680133f0 | 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.... |
1249a281d4016a849f808e24a2cc3cb0cc6ede94ae29bb5f82f2826536859587 | 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... |
6552b64c85b45e35910c17b1d39e329a6565481430f912018442f5c12d990265 | from sympy.core.symbol import Symbol
from sympy.matrices.dense import (eye, zeros)
from sympy.solvers.solvers import solve_linear_system
N = 8
M = zeros(N, N + 1)
M[:, :N] = eye(N)
S = [Symbol('A%i' % i) for i in range(N)]
def timeit_linsolve_trivial():
solve_linear_system(M, *S)
|
c5602c5fa050b78760cca31a895844fc53bac6c877b6b563a82f63127a6e582a | from sympy.core.add import Add
from sympy.core.assumptions import check_assumptions
from sympy.core.containers import Tuple
from sympy.core.exprtools import factor_terms
from sympy.core.function import _mexpand
from sympy.core.mul import Mul
from sympy.core.numbers import Rational
from sympy.core.numbers import igcdex,... |
ff40f4717257a05f2cc34f61c1a7a67a2b1f164811454eb02fb91b7d7835f200 | 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... |
be63588d7d1be0627cd7598bbf9837effa63af8f98676d7ca4516bfeda57048b | #
# 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 as tDict, Type, Iterator, List, Optional
from .riccati import match_riccati, solve_riccati
from sympy.core import Add, S, Pow, Rational
from sympy.core.exprto... |
f727f60ae6edc949ffe5a0111007e1772a0cf66946134442903020dc59fd207a | r"""
This module contains :py:meth:`~sympy.solvers.ode.riccati.solve_riccati`,
a function which gives all rational particular solutions to first order
Riccati ODEs. A general first order Riccati ODE is given by -
.. math:: y' = b_0(x) + b_1(x)w + b_2(x)w^2
where `b_0, b_1` and `b_2` can be arbitrary rational function... |
a39e9c346933d4b0ac15718b78d2a632882b84887177029a951ad6628d48008a | 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... |
4dcb8c8f228686dd73f7278bd4a417577bd76bec46b865fe1a4e2c430443601d | r"""
This File contains helper functions for nth_linear_constant_coeff_undetermined_coefficients,
nth_linear_euler_eq_nonhomogeneous_undetermined_coefficients,
nth_linear_constant_coeff_variation_of_parameters,
and nth_linear_euler_eq_nonhomogeneous_variation_of_parameters.
All the functions in this file are used by m... |
458f53b3a51acc939fd5e30772c228a6a2b7fb4735c0ae3c79945f7a27bd8e29 | from sympy.core import S, Pow
from sympy.core.function import (Derivative, AppliedUndef, diff)
from sympy.core.relational import Equality, Eq
from sympy.core.symbol import Dummy
from sympy.core.sympify import sympify
from sympy.logic.boolalg import BooleanAtom
from sympy.functions import exp
from sympy.series import O... |
51fb10cd2426e82c1fbe7ce479f890998494546773cdd329c98b3aefed4a44dc | r'''
This module contains the implementation of the 2nd_hypergeometric hint for
dsolve. This is an incomplete implementation of the algorithm described in [1].
The algorithm solves 2nd order linear ODEs of the form
.. math:: y'' + A(x) y' + B(x) y = 0\text{,}
where `A` and `B` are rational functions. The algorithm sh... |
023c15f418c06058bae85888bf0d3b53f3dc8891c697c2485203e687f8b907b0 | 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... |
c564d4c0a05509a35a268f7e88cd5593ab9e5d4fdcc58e3ca2e457085a9abf41 | 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... |
87d86d97d6adb236aad034ab639b3d2ead4e32d14d26baff1c56dcb270fddf2b | """Tests for solvers of systems of polynomial equations. """
from sympy.core.numbers import (I, Integer, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys.domains.rationalfield import QQ
from sympy.polys.polytoo... |
3fd3a8b8a88213a0c903b90059397f3b4ff80b48037705e7bae925e2ac482321 | """Tests for tools for solving inequalities and systems of inequalities. """
from sympy.concrete.summations import Sum
from sympy.core.function import Function
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.relational import (Eq, Ge, Gt, Le, Lt, Ne)
from sympy.core.singleton import S
from sympy.c... |
5a9da18efd4deae98dec85445ed0368bad547376fecbd40496583711c5224bdf | from sympy.solvers.decompogen import decompogen, compogen
from sympy.core.symbol import symbols
from sympy.functions.elementary.complexes import Abs
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (cos,... |
224df761c6bc05a5e99c0efad7b20842e1189cce50a46613e2aac3f5085c2ef9 | from sympy.core.numbers import (Float, I, Rational, pi)
from sympy.core.relational import Eq
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.piecewise import Piecewise
from sympy.functions.elementary.trigonometric import sin
from ... |
5063f7b968c5f2929081f3e27e675fbd2e544559b34a0ea6d8d912ecb1b39a2a | from sympy.core.function import (Derivative as D, Function)
from sympy.core.relational import Eq
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.core import S
from sympy.solvers.pde i... |
4db8e05c856bbb6d13c4e5eca9c78744049c6c254e26f3ef3d447ca5758501fd | 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... |
f457ae82c83d8c3d81c10886e041696fd7ce472b2de89741999aaad8668e807f | """
If the arbitrary constant class from issue 4435 is ever implemented, this
should serve as a set of test cases.
"""
from sympy.core.function import Function
from sympy.core.numbers import I
from sympy.core.power import Pow
from sympy.core.relational import Eq
from sympy.core.singleton import S
from sympy.core.symbo... |
f9c86a28608b9a1756ab35f96db716980a07cbae67099b3ef30af1dc86723929 | 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... |
862ddfd3460aa284e05ab8a19615ddba1028c3d5891039c1ae784adab1ffb1c2 | from 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.exponential import (e... |
a7c9e7c0fac98b19777dde3e1becac6831cfc80e796d9704848d4abcf19e308f | 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... |
1b3c1cf61f67eb394d3a127c421e9f403781f2085a46682fde4b4101f3c9c7e5 | from sympy.core.function import (Derivative, Function, diff)
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.relational import Eq
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import sqrt
from ... |
d9793567326caae8f865ebecfe8fdf1dc10a46f885a7698fefd129c59bb45bc0 | #
# 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... |
be0d72cbff9ae71d579b621c564122e5c0f6b80e70139823aa97c1c24575bd97 | from sympy.core.function import Function
from sympy.core.numbers import Rational
from sympy.core.relational import Eq
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.tr... |
2d1c66b7d12b029c243e10bb728f3fdd472b0d447c7b0062a93222682ca1cf07 | from sympy.core.function import (Derivative, Function, diff)
from sympy.core.mul import Mul
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.hyperbolic import sinh
from... |
1730bbc2f9086581750152622280749a6757394c8a11c0c3f62321c5f436818b | 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... |
b39644650dbada072704ba428c956678a953290072453401adcf8df69ff85bc7 | from sympy.core.numbers import Rational
from sympy.functions.combinatorial.numbers import 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(c... |
a5f37df9cd18d360af6ae30d6ca4d084f85321138538e51c49393f220eb17802 | 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... |
aab3b8a028eb8e4a75b83beb36d6e000d57268e131a8e2cdb48a48c43d6e1f45 | from sympy.liealgebras.cartan_type import CartanType
from sympy.matrices import Matrix
def test_type_D():
c = CartanType("D4")
m = Matrix(4, 4, [2, -1, 0, 0, -1, 2, -1, -1, 0, -1, 2, 0, 0, -1, 0, 2])
assert c.cartan_matrix() == m
assert c.basis() == 6
assert c.lie_algebra() == "so(8)"
assert ... |
616a6db38a564a2604c11b22e432d0d7a2600bdd74f7ef4d29920bfc83bafc0c | from sympy.core.function import (Derivative as D, Function)
from sympy.core.relational import Eq
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.testing.pytest import raises
from sympy.calculus.euler import euler_equations as euler
def test_eu... |
89b01000ac85650470a3feb13e738b7a44ce46d108a849dbbf379c785494943c | from sympy.core.numbers import (I, Rational, oo)
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.calculus.singularities import (
singularities,
is_increasing... |
55134d7ddbbdd5081aa8866e0f532d97f6a60c3413d05250ed6832597ac74f06 | 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.elementary.complexes import (Abs, re)
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.miscellaneous import (M... |
525b1c291f2c25d0a0eb1709b513e680c6adcfaff5a3e895e311dcc10b1732b7 | from itertools import product
from sympy.core.function import (Function, diff)
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.calculus.finite_diff import (
apply_finite_diff, differen... |
50ad84db083d10cc1d6b8570a73ca3deb997b3a9e2df71ea71bc9aa80c30eb0c | from sympy.sandbox.indexed_integrals import IndexedIntegral
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.tensor.indexed import (Idx, IndexedBase)
def test_indexed_integrals():
A = IndexedBase('A')
i, j = symbols('i j', integer=True)
a1, a... |
34b2605fb0bfb6b462c658543cd9159d352af71987c4d2a7b00c3c2b22d78ab3 | 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(0, 1)) == Basic(1)
assert rmzeros(Basic(0, 0)) == Basic(0)
... |
c86664ec223bce055730c1f7a1a0c8ca80f45fd00bc86a4cc2617aa9b8617dae | from sympy.strategies.tools import subs, typed
from sympy.strategies.rl import rm_id
from sympy.core.basic import Basic
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 = Basic(a, Basic(b, c), Basic(d, Basic(e)... |
81128a560a41e6830a7970af13c097f723321b5443799c4d152612532af3b6ce | 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.singleton import S
from sympy.core.symb... |
bd69ded27501a67139febad81c2fbd8c6373a4eed86f3ce9d9ab35626523f995 | from sympy.core.singleton import S
from sympy.strategies.core import (null_safe, exhaust, memoize, condition,
chain, tryit, do_one, debug, switch, minimize)
def test_null_safe():
def rl(expr):
if expr == 1:
return 2
safe_rl = null_safe(rl)
assert rl(1) == safe_rl(1)
assert ... |
9ecb5c7ced4f37c957b0c3164ba6fe1c07a200580f2b175e79870a4992d14484 | from sympy.strategies.branch.tools import canon
from sympy.core.basic import Basic
def posdec(x):
if isinstance(x, int) and x > 0:
yield x-1
else:
yield x
def branch5(x):
if isinstance(x, int):
if 0 < x < 5:
yield x-1
elif 5 < x < 10:
yield x+1
... |
17b086db9be06e0422451d9a66a61d0589d4ce4d317616e21671367ee69021ae | from sympy.core.basic import Basic
from sympy.strategies.branch.traverse import top_down, sall
from sympy.strategies.branch.core import do_one, identity
def inc(x):
if isinstance(x, int):
yield x + 1
def test_top_down_easy():
expr = Basic(1, 2)
expected = Basic(2, 3)
brl = top_down(inc)
... |
fe48b2476c49db4ab4ab708f352fc54cd8e92c53eaa78cd951a05dbf173f3c60 | import glob
import os
import shutil
import subprocess
import sys
import tempfile
import warnings
from sysconfig import get_config_var, get_config_vars, get_path
from .runners import (
CCompilerRunner,
CppCompilerRunner,
FortranCompilerRunner
)
from .util import (
get_abspath, make_dirs, copy, Glob, Arb... |
7b8bc3ad3a51fe213c5cbbab89183c4cd1c1eb062d86b8589dfe0628cd730fb4 | from typing import Callable, Dict as tDict, Optional, Tuple as tTuple, Union as tUnion
from collections import OrderedDict
import os
import re
import subprocess
from .util import (
find_binary_of_command, unique_list, CompileError
)
class CompilerRunner:
""" CompilerRunner base class.
Parameters
==... |
1100ab17ee5f558e1656db757a610013b4be4b07c4e230e8f96669d78ecc3b86 | from collections import namedtuple
from hashlib import sha256
import os
import shutil
import sys
import fnmatch
from sympy.testing.pytest import XFAIL
def may_xfail(func):
if sys.platform.lower() == 'darwin' or os.name == 'nt':
# sympy.utilities._compilation needs more testing on Windows and macOS
... |
49083bf402e844268ca8aba9b20fe181af90742f4429629400934bafbe55225c | # Tests that require installed backends go into
# sympy/test_external/test_autowrap
import os
import tempfile
import shutil
from io import StringIO
from sympy.core import symbols, Eq
from sympy.utilities.autowrap import (autowrap, binary_function,
CythonCodeWrapper, UfuncifyCodeWrapper, CodeWrapper)
from ... |
5ac9077297b0f3b5cb8609ebf75a8871cbd89cf0da6e3635b7653b0635bd478b | 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'
translate(abc, None, 'a') =... |
ff277db86287673c1416975ead26bd136718aadf0931c12d06e37a53bffb6c9d | from io import StringIO
from sympy.core import S, symbols, Eq, pi, Catalan, EulerGamma, Function
from sympy.core.relational import Equality
from sympy.functions.elementary.piecewise import Piecewise
from sympy.matrices import Matrix, MatrixSymbol
from sympy.utilities.codegen import OctaveCodeGen, codegen, make_routine... |
a07955022234bf90e65e478ce23a05b12c46f0e1246e3ec54bc96bad056d92c3 | from sympy.core.relational import (Eq, Ne)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.external import import_module
from sympy.testing.pytest import skip
fro... |
42a84e78a85420eeca758f3304678e4e026b4496069360fb62c90b5f7eaf2c75 | import inspect
import copy
import pickle
from sympy.physics.units import meter
from sympy.testing.pytest import XFAIL, raises
from sympy.core.basic import Atom, Basic
from sympy.core.core import BasicMeta
from sympy.core.singleton import SingletonRegistry
from sympy.core.symbol import Str, Dummy, Symbol, Wild
from s... |
c0987a6260dfabc85a1a32439e20da554b0320a123deb4ff381e2beae2c8efb6 | from io import StringIO
from sympy.core import S, symbols, pi, Catalan, EulerGamma, Function
from sympy.core.relational import Equality
from sympy.functions.elementary.piecewise import Piecewise
from sympy.utilities.codegen import RustCodeGen, codegen, make_routine
from sympy.testing.pytest import XFAIL
import sympy
... |
694c3a9db4b3069f21fe9937e5867fbb3467711a0b612b5b96875e88344593a2 | from itertools import zip_longest
from sympy.utilities.enumerative import (
list_visitor,
MultisetPartitionTraverser,
multiset_partitions_taocp
)
from sympy.utilities.iterables import _set_partitions
# first some functions only useful as test scaffolding - these provide
# straightforward, but slow ref... |
ce76308199c773c54226d5fc519f9c3459ed3203186cb66a843f3664d124924c | from itertools import product
import math
import inspect
import mpmath
from sympy.testing.pytest import raises
from sympy.concrete.summations import Sum
from sympy.core.function import (Function, Lambda, diff)
from sympy.core.numbers import (E, Float, I, Rational, oo, pi)
from sympy.core.relational import Eq
from symp... |
554d4b42c65840998b630615de94f1f740546a3fcead3b2dc7b98faaafd59a12 | """ 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... |
330aed9de57e26105c758070f15330d12cc0a8547ce0e99f082a59f48ef55368 | from textwrap import dedent
from itertools import islice, product
from sympy.core.basic import Basic
from sympy.core.numbers import Integer
from sympy.core.sorting import ordered
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions.combinatorial.factorials import factorial
from sympy.matrices.dense impo... |
569f0a356c09d5eca7a40ab33403d15bcec9d7b195a41d323b2e483a34f5a55f | from functools import wraps
from sympy.utilities.decorator import threaded, xthreaded, memoize_property
from sympy.core.basic import Basic
from sympy.core.relational import Eq
from sympy.matrices.dense import Matrix
from sympy.abc import x, y
def test_threaded():
@threaded
def function(expr, *args):
... |
4d8723f91007b73a23f19f241ee9e477147a5095eb83106ea090f553fe64e08d | from io import StringIO
from sympy.core import S, symbols, Eq, pi, Catalan, EulerGamma, Function
from sympy.core.relational import Equality
from sympy.functions.elementary.piecewise import Piecewise
from sympy.matrices import Matrix, MatrixSymbol
from sympy.utilities.codegen import JuliaCodeGen, codegen, make_routine
... |
4c11db93ad7f57011f0ef1fbd72c6050e0e00b72c70eba620a8a58e96a6e9f06 | from io import StringIO
from sympy.core import symbols, Eq, pi, Catalan, Lambda, Dummy
from sympy.core.relational import Equality
from sympy.core.symbol import Symbol
from sympy.functions.special.error_functions import erf
from sympy.integrals.integrals import Integral
from sympy.matrices import Matrix, MatrixSymbol
f... |
330feb449afa2fd82ad67c2658927ed5aa8c180cf237c676068b5d4aba038d81 | 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 ... |
bb4e2324cbbc136644e9a33c0862072ee7eefe402d9eae55b1323c67e8072418 | """Symbolic primitives + unicode/ASCII abstraction for pretty.py"""
import sys
import warnings
from string import ascii_lowercase, ascii_uppercase
import unicodedata
unicode_warnings = ''
def U(name):
"""
Get a unicode character by name or, None if not found.
This exists because older versions of Python... |
ee4af4910f532daa289af5600b6bb1fc0289d729b9c8e2eeb8a04c80763444b0 | from typing import Any, Dict as tDict
from sympy.testing.pytest import raises
from sympy.assumptions.ask import Q
from sympy.core.function import (Function, WildFunction)
from sympy.core.numbers import (AlgebraicNumber, Float, Integer, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, ... |
51608d25ed141e467d27644f3971ff80d6d00f2c5e77ece10b52a8f9cc15e296 | from sympy.codegen import Assignment
from sympy.codegen.ast import none
from sympy.codegen.cfunctions import expm1, log1p
from sympy.codegen.scipy_nodes import cosm1
from sympy.codegen.matrix_nodes import MatrixSolve
from sympy.core import Expr, Mod, symbols, Eq, Le, Gt, zoo, oo, Rational, Pow
from sympy.core.numbers i... |
8a425060dff60ffad4db03af84e66f913a34ce57fe2a11dfa2a82f4b85e85db9 | from sympy.core.symbol import symbols
from sympy.functions import beta, Ei, zeta, Max, Min, sqrt, riemann_xi, frac
from sympy.printing.cxx import CXX98CodePrinter, CXX11CodePrinter, CXX17CodePrinter, cxxcode
from sympy.codegen.cfunctions import log1p
from sympy.testing.pytest import warns_deprecated_sympy
x, y, u, v ... |
54d16f5d5084574576cb3884703118a000965d9c7f244a14d5e49a6fc0cb69f6 | from sympy.algebras.quaternion import Quaternion
from sympy.assumptions.ask import Q
from sympy.calculus.util 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 (Dict, Tuple)
from... |
752571886a9d351ea06c5e34578276b46850f93e110ef4b21b2a47bd870f0d83 | # -*- coding: utf-8 -*-
from sympy.core.relational import Eq
from sympy.core.symbol import Symbol
from sympy.functions.elementary.piecewise import Piecewise
from sympy.printing.preview import preview
from io import BytesIO
def test_preview():
x = Symbol('x')
obj = BytesIO()
try:
preview(x, outpu... |
4cc6b76f7d4e1d2c797be68deb95b45ef96f3fa26abc933f82a3c776420b7b31 | from sympy.core.add import Add
from sympy.core.function import (Function, Lambda, diff)
from sympy.core.mod import Mod
from sympy.core import (Catalan, EulerGamma, GoldenRatio)
from sympy.core.numbers import (E, Float, I, Integer, Rational, pi)
from sympy.core.relational import Eq
from sympy.core.singleton import S
fro... |
0894d71839bcc2f8e4becb6402de01059774b0f202b9e51e58c60a93e33e7497 | 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... |
667391e691b91adde4ddc5fb0ed3795d4830c6d81e72d3e75b55b9df008ae65a | from sympy.concrete.summations import Sum
from sympy.core.expr import Expr
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.piecewise import Piecewise
from sympy.functions.elementary.trigonometric import sin
from sympy.matrices.dense import ... |
caa3e953717459c6f12263c10401dddd8119a641467dcabf4cb2b858dfe0b4fe | # -*- coding: utf-8 -*-
from sympy.core.function import (Derivative, Function)
from sympy.core.numbers import oo
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.trigonometric import cos
from sympy.integrals.integrals import Integral
from symp... |
fa13b9d8cd5125241ed2a4954a5e81d4bb9d64881a04c99ed0d91de9d406afa8 | from sympy.concrete.summations import Sum
from sympy.functions.elementary.exponential import log
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.utilities.lambdify import lambdify
from sympy.abc import x, i, a, b
from sympy.codegen.numpy_nodes import logaddexp
from sympy.printing.numpy import CuPyP... |
1a7042669036b1742806d74a3e0140335a7bcf1c21d07382e8261d18fcdf012e | from sympy.algebras.quaternion import Quaternion
from sympy.calculus.util 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, Dict
from sympy.... |
7994d8277ccde4b12df2d9792a10038351f072ba1f85242cc1a80fff3731a0cc | from sympy.core import (S, pi, oo, symbols, Rational, Integer,
GoldenRatio, EulerGamma, Catalan, Lambda, Dummy,
Eq, Ne, Le, Lt, Gt, Ge, Mod)
from sympy.functions import (Piecewise, sin, cos, Abs, exp, ceiling, sqrt,
sign, floor)
from sympy.log... |
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