hash stringlengths 64 64 | content stringlengths 0 1.51M |
|---|---|
d4f9288be4cdc6f074a13d49e7f617af269bca21a03de5e2812fefa3fe31feff | 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 ... |
e9cc79adb50a57bbb613254b071baa5fde066cb5e6518029059807ec2eb41056 | from sympy.concrete.summations import summation
from sympy.core.containers import Dict
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.combinatorial.factorials import factorial as fac
from sympy.core.evalf impor... |
1f2f6961164fb859bbcab19546cda86ffc37618ddb30410d1ff8640e1f78ed41 | from sympy.ntheory.ecm import ecm, Point
from sympy.testing.pytest import slow
@slow
def test_ecm():
assert ecm(3146531246531241245132451321) == {3, 100327907731, 10454157497791297}
assert ecm(46167045131415113) == {43, 2634823, 407485517}
assert ecm(631211032315670776841) == {9312934919, 67777885039}
... |
f2eba3e9795ab4dc8820b3a98c96a9d7708c6660f0ac2c862a7f4b8885222d5d | from sympy.ntheory.multinomial import (binomial_coefficients, binomial_coefficients_list, multinomial_coefficients)
from sympy.ntheory.multinomial import multinomial_coefficients_iterator
def test_binomial_coefficients_list():
assert binomial_coefficients_list(0) == [1]
assert binomial_coefficients_list(1) ==... |
985def6528c4196ae7726a92469c5dbd10d0b9f3e5738a328b7ab15fcb8b8025 | from collections import defaultdict
from sympy.core.containers import Tuple
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol)
from sympy.ntheory import n_order, is_primitive_root, is_quad_residue, \
legendre_symbol, jacobi_symbol, totient, primerange, sqrt_mod, \
primitive_root, ... |
00b2b32c07023c8313af7242e91247b8e61deb3d1a155685e7e7b8f3589c61ef | from sympy.core.numbers import (I, Rational, nan, zoo)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.ntheory.generate import (sieve, Sieve)
from sympy.series.limits import limit
from sympy.ntheory import isprime, totient, mobius, randprime, nextprime, prevprime, \
primerange, p... |
d98c95a17df1e2c3923f1c5edb2ca856686afbe93c4fee4a90f2eea4f348c44e | from typing import Dict as tDict, Tuple as tTuple
from sympy.ntheory import qs
from sympy.ntheory.qs import SievePolynomial, \
_generate_factor_base, _initialize_first_polynomial, _initialize_ith_poly, \
_gen_sieve_array, _check_smoothness, _trial_division_stage, _gauss_mod_2, \
_build_matrix, _find_factor... |
dd25a415029e17ea754163f822ef4d200d684f1005a3504b46bacb7ab045021c | from sympy.core.symbol import symbols
from sympy.sets.sets import FiniteSet
from sympy.combinatorics.polyhedron import (Polyhedron,
tetrahedron, cube as square, octahedron, dodecahedron, icosahedron,
cube_faces)
from sympy.combinatorics.permutations import Permutation
from sympy.combinatorics.perm_groups import... |
ec04ccc333ef0285a21fb09ec7e0fade79a539adb487bd333b94d61958ac1703 | from sympy.core.singleton import S
from sympy.combinatorics.fp_groups import (FpGroup, low_index_subgroups,
reidemeister_presentation, FpSubgroup,
simplify_presentation)
from sympy.combinatorics.free_groups import (free_group, FreeGroup)
fro... |
a29a6ccca24b2d2a5c1331e07aca48bde4a6102ddf0d9d2a92eb3593b301b781 | from sympy.core.sorting import ordered, default_sort_key
from sympy.combinatorics.partitions import (Partition, IntegerPartition,
RGS_enum, RGS_unrank, RGS_rank,
random_integer_partition)
from sympy.testing.pytest import raises
from... |
84c10ac017b15044291783cdc2b76c1014ecacd12b7798aec24607bb872dfb16 | from sympy.core import S, Rational
from sympy.combinatorics.schur_number import schur_partition, SchurNumber
from sympy.testing.randtest import _randint
from sympy.testing.pytest import raises
from sympy.core.symbol import symbols
def _sum_free_test(subset):
"""
Checks if subset is sum-free(There are no x,y,z... |
ad3bc6758470d99c3398145e0586befdd4a9906006bc8c83fb9f43e940c10169 | from itertools import permutations
from sympy.core.expr import unchanged
from sympy.core.numbers import Integer
from sympy.core.relational import Eq
from sympy.core.symbol import Symbol
from sympy.core.singleton import S
from sympy.combinatorics.permutations import \
Permutation, _af_parity, _af_rmul, _af_rmuln, A... |
ea9ca12d85791ee5efc7adebfa01951ebf0b4ab1915dca43b9d8459fd7c1a97f | from sympy.combinatorics.subsets import Subset, ksubsets
from sympy.testing.pytest import raises
def test_subset():
a = Subset(['c', 'd'], ['a', 'b', 'c', 'd'])
assert a.next_binary() == Subset(['b'], ['a', 'b', 'c', 'd'])
assert a.prev_binary() == Subset(['c'], ['a', 'b', 'c', 'd'])
assert a.next_lex... |
877b4fca3300efd33d40c734ace960557537d65674b3fc6863f60856c573d058 | from sympy.combinatorics.free_groups import free_group, FreeGroup
from sympy.core import Symbol
from sympy.testing.pytest import raises
from sympy.core.numbers import oo
F, x, y, z = free_group("x, y, z")
def test_FreeGroup__init__():
x, y, z = map(Symbol, "xyz")
assert len(FreeGroup("x, y, z").generators) ... |
e6946cc39e44432af7d66529deec1c6b0ffea6eb57709203ce603b912edc5d43 | from sympy.concrete.products import (Product, product)
from sympy.concrete.summations import Sum
from sympy.core.function import (Derivative, Function, diff)
from sympy.core.numbers import (Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, Symbol, symbols)
from sympy.functions.c... |
fe2dd6180c67bcb7754eebf31ab22f43b624f88e85de65fae3049d136a772c42 | from sympy.concrete.guess import (
find_simple_recurrence_vector,
find_simple_recurrence,
rationalize,
guess_generating_function_rational,
guess_generating_function,
guess
)
from sympy.concrete.products import Product
from sympy.core.functi... |
fb1f42cad5cf484f9e75572a871694765d23d7f015be09577955716ca6a95cfd | """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.exponential import (exp, log... |
baf4ebb1e85cb12d29b469c90f61f9b60814177ef904846a499822bc2ac8454b | 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... |
c825fc9a78cf57404005aae02720d4412f2aeaab2c27753bbe75d2b686fd6cde | import sympy
import tempfile
import os
from sympy.core.mod import Mod
from sympy.core.relational import Eq
from sympy.core.symbol import symbols
from sympy.external import import_module
from sympy.tensor import IndexedBase, Idx
from sympy.utilities.autowrap import autowrap, ufuncify, CodeWrapError
from sympy.testing.py... |
0956b0ec3d3ee83391820efc43a6f7e5234a9f4e4f94ac1626ea973ae53ea9d6 | # This testfile tests SymPy <-> SciPy compatibility
# Don't test any SymPy features here. Just pure interaction with SciPy.
# Always write regular SymPy tests for anything, that can be tested in pure
# Python (without scipy). Here we test everything, that a user may need when
# using SymPy with SciPy
from sympy.exter... |
528c791e6e956637c34f16ea598e79c0f9f308731730ed20653013df2cc495da | # This tests the compilation and execution of the source code generated with
# utilities.codegen. The compilation takes place in a temporary directory that
# is removed after the test. By default the test directory is always removed,
# but this behavior can be changed by setting the environment variable
# SYMPY_TEST_CL... |
65bb8a51523e5fb9aaa98996498d405a10be8810a49076a3898aa8bd853e896a | """
test_pythonmpq.py
Test the PythonMPQ class for consistency with gmpy2's mpq type. If gmpy2 is
installed run the same tests for both.
"""
from fractions import Fraction
from decimal import Decimal
import pickle
from typing import Callable, List, Tuple, Type
from sympy.testing.pytest import raises
from sympy.exter... |
fcea0e4705c79089afaebff85e48cddb3fc388563603f92f2339848b3fc0a170 | # 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... |
54534adcde5e857ca107c9c6af8f5b9dc5877ac6559a1738310cb5398872a57e | 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)
|
d8fb5d79e26d0faab212fb7d1c536fc939cc33ca61159463b1c8276f87c79dd5 | from sympy.core.numbers import oo
from sympy.core.symbol import Symbol
from sympy.series.limits import limit
x = Symbol('x')
def timeit_limit_1x():
limit(1/x, x, oo)
|
63d3f01935316bc63d9943a56806c6ac11923449f757e65ef58f79e8c79a4e0f | from sympy.core.numbers import E
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.hyperbolic import tanh
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.series.order import Order
from sympy.abc import x, y
def test_sin... |
2b66a163ab0ac52e8a41ddf67a71adf38c50ee742bb19dd5b8926369a8bec04d | 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... |
fce976447a299077a0a840206f6006042277e3292420faa67700297364dee3a8 | 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... |
23d0e2a05a5c26716fa7df9712029123f883bf40b652526ad6733daeb7031bb6 | 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... |
9c50a8eeec39f4f7c5ba2b054faedea98fd29193c451d1a25530e3ab60532bd2 | from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.function import (Derivative, Function)
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.combinatorial.... |
517ca34f45460c156e2ac993a6a810b3610845c237138e039b48396f0404b91d | from sympy.series import approximants
from sympy.core.symbol import symbols
from sympy.functions.combinatorial.factorials import binomial
from sympy.functions.combinatorial.numbers import (fibonacci, lucas)
def test_approximants():
x, t = symbols("x,t")
g = [lucas(k) for k in range(16)]
assert [e for e in... |
63446fcbbbe961e2d802e582facc789eb1e375eeb264a338f2d48ef89d4271cc | 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... |
24661a72a24c12a1d2ea84f6018b3d77b8aeb4811bdf63e426cf4426a387c5c4 | from sympy.core.numbers import (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 (root, sqrt)
from sympy.functions.elementary.trigonometric import (asin, cos, sin, ... |
0e49e4eb845618d3bc9179a9cb645121b4fc6fed028cbff7e50701ba045e5b7f | from sympy.core.add import Add
from sympy.core.numbers import (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.piecewise import Piecewise
from sympy.functions.elementary.trigonometric... |
38fa4966f26b516fa3e9848eb0c82470b5100660dd51230459df20ea7616ef4b | from sympy.core.add import Add
from sympy.core.function import (Function, expand)
from sympy.core.numbers import (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, transpose)
from sympy.functions.elem... |
67ce4585f5ce395922d0734678ae4110164ea64b81e929ca2b716a7cad7e68b4 | from sympy.series.kauers import finite_diff
from sympy.series.kauers import finite_diff_kauers
from sympy.abc import x, y, z, m, n, w
from sympy.core.numbers import pi
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.concrete.summations import Sum
def test_finite_diff():
assert finite_di... |
f2e6fa8ca37242f21c90a5b2e0f227da934be45bb210b962706f92cc46aaddab | 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... |
2db956e210435618a05fd62f35cfc716f326f2724c493013f4f7142b7a7ef475 | from sympy.core.function import PoleError
from sympy.core.numbers import 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.functions.elementary.trigonometric import... |
f72090e5bcfc17b1b15120af72811f2da1ca9e3cf10b5bb205f85d95e2b0f147 | from sympy.core.function import Function
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.combinatorial.factorials import factorial
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.h... |
67f69c188398f59b6a0a7e938e29b8bfb059318a457df4afc312935b48e0d599 | from sympy.core.function import (Derivative, PoleError)
from sympy.core.numbers import (E, I, Integer, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import sign
from sympy.functions.elementary.exponential import (exp, log)
from... |
e3346d0d0546a4a4510584809c4179a52334011fdf00cba638dbb639c6f7b6a8 | from sympy.core.mul import Mul
from sympy.core.numbers import (I, Integer, Rational)
from sympy.core.symbol import Symbol
from sympy.functions.elementary.miscellaneous import (root, sqrt)
from sympy.functions.elementary.trigonometric import cos
from sympy.integrals.integrals import Integral
from sympy.simplify.sqrtdene... |
b42b2cd6cffed5748f1c7a16dd32461ef556662e29889f553fd29d92d895af62 | 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.... |
ece6331148ad3639fbeb59ee6fc4fbb9fe5b39361335a6d5966887b424d77584 | 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... |
2093f398517ec111480dd1dad89c3a135308e78658af311dd82e200c698f98f2 | from sympy.core.add import Add
from sympy.core.function import (Derivative, Function, diff)
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Rational)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, Wild, symbols)
from sympy.functions.elementar... |
2d98f857a6bde46263d68dcd94a4681cc93bb1618f012165c36e27b26e33e379 | from sympy.core.numbers import I
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.trigonometric import (cos, cot, sin)
from sympy.testing.pytest import _both_exp_pow
x, y, z, n = symbols('x,y,z,n')
@_both_exp_pow
def test_has():
assert c... |
f9c08573320822c844e1dd33a21899ea8210a5ec07356af05d8e021721ee4f61 | 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... |
3bde564b10afa367c342cf9495aac07127f4ffc3373ee4d1efa9614440e8340f | from sympy.core.numbers import Rational
from sympy.core.symbol import symbols
from sympy.functions.combinatorial.factorials import (FallingFactorial, RisingFactorial, binomial, factorial)
from sympy.functions.special.gamma_functions import gamma
from sympy.simplify.combsimp import combsimp
from sympy.abc import x
def... |
a249c2efebeb418b40174dd37c09f7a0463b435a5c24f3af6d6c231d2a66e77c | from random import randrange
from sympy.simplify.hyperexpand import (ShiftA, ShiftB, UnShiftA, UnShiftB,
MeijerShiftA, MeijerShiftB, MeijerShiftC, MeijerShiftD,
MeijerUnShiftA, MeijerUnShiftB, MeijerUnShiftC,
MeijerUnShiftD,
Re... |
cceb8ed74c262f907cf9b7f04b551b83981e66d52fcd1ac12f42e9c1d3dd2bf7 | 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... |
ba0b1095fb8ae8f3a28b175e8adeb7428bec540946e49c8268f94fa748f7e4b1 | """Tests for tools for manipulation of expressions using paths. """
from sympy.simplify.epathtools import epath, EPath
from sympy.testing.pytest import raises
from sympy.core.numbers import E
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.abc import x, y, z, t
def test_epath_select():
... |
95d40b21f5d75981d814971877b78a546bafc01c12259e51ffd9dcbaddee19c2 | 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
... |
511b63277f45f92c9a254fe490cbda47c2399c9457f7c408486dce70830eff88 | 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.elementary.miscellaneous import sqrt
from symp... |
b91abb00623de7b2de2ce99821732a2a4b2d43294ad3dc4c6094547e54fc6beb | from sympy.core.numbers import (Rational, pi)
from sympy.functions.elementary.exponential import log
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.special.error_functions import erf
from sympy.polys.domains.finitefield import GF
from sympy.simplify.ratsimp import (ratsimp, ratsimpmodpri... |
4b00fa42c7d296b11da43d9d6e470deb608f54844fe5269d8c2a652eb300a1af | from sympy.categories import (Object, Morphism, IdentityMorphism,
NamedMorphism, CompositeMorphism,
Diagram, Category)
from sympy.categories.baseclasses import Class
from sympy.testing.pytest import raises
from sympy.core.containers import (Dict, Tuple)
from s... |
2042cfa5a7669d0c90db1e5ae6a1c2f22a2ae647d3d549c0978875bcede06ea8 | from sympy.categories.diagram_drawing import _GrowableGrid, ArrowStringDescription
from sympy.categories import (DiagramGrid, Object, NamedMorphism,
Diagram, XypicDiagramDrawer, xypic_draw_diagram)
from sympy.sets.sets import FiniteSet
def test_GrowableGrid():
grid = _GrowableGrid(1,... |
f23f1286720d9b4c0566f255a0bdd16a324e4bd377c5078c75f19edbd16321d7 | from sympy.core.function import diff
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.complexes import (Abs, conjugate, im, re, sign)
from sympy.functions.elementary.exponential import log
from sympy.fu... |
2db472c61869f8d9e77c9da04e7d527658020509f6ae1c81ef10293a071dfeb3 | from sympy.diffgeom import Manifold, Patch, CoordSystem, Point
from sympy.core.function import Function
from sympy.core.symbol import symbols
from sympy.testing.pytest import warns_deprecated_sympy
m = Manifold('m', 2)
p = Patch('p', m)
a, b = symbols('a b')
cs = CoordSystem('cs', p, [a, b])
x, y = symbols('x y')
f = ... |
8f3797c20ad209fd5d231cbe00debcaf8c0f6057e4ee25483ae6fdb8c9ac0f05 | from sympy.core import Lambda, Symbol, symbols
from sympy.diffgeom.rn import R2, R2_p, R2_r, R3_r, R3_c, R3_s, R2_origin
from sympy.diffgeom import (CoordSystem, Commutator, Differential, TensorProduct,
WedgeProduct, BaseCovarDerivativeOp, CovarDerivativeOp, LieDerivative,
covariant_order, contravariant... |
738c5027f6c14b8c6b323de97f1d4cb37a02dbf2f0b89b8d617359c6cf9c546f | r'''
unit test describing the hyperbolic half-plane with the Poincare metric. This
is a basic model of hyperbolic geometry on the (positive) half-space
{(x,y) \in R^2 | y > 0}
with the Riemannian metric
ds^2 = (dx^2 + dy^2)/y^2
It has constant negative scalar curvature = -2
https://en.wikipedia.org/wiki/Poincare_h... |
af6d3a9fc60cd03d6f14fd2f76351a011ed04699945b0f159aa48c17187c154f | import os
import tempfile
from sympy.core.symbol import (Symbol, symbols)
from sympy.codegen.ast import (
Assignment, Print, Declaration, FunctionDefinition, Return, real,
FunctionCall, Variable, Element, integer
)
from sympy.codegen.fnodes import (
allocatable, ArrayConstructor, isign, dsign, cmplx, kind, ... |
a9fc0f8530396266917d7078a50bfb93e016fa17458071baef90ba5c958573fd | from itertools import product
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import cos
from sympy.core.numbers import pi
from sympy.codegen.scipy_nodes import cosm1
x, y, z = symbols('x y z')
def test_cosm1():
cm1_xy = cosm1(x*y)
ref_xy = cos(x*y) - 1
for wrt, deriv_... |
499a4e5336a16ff6c939c783d032dd99e8b0fa3377ece3e67f94d1a757724603 | import math
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.codegen.rewriting import optimize
from sympy.codegen.approximations import SumApprox, SeriesApprox
def test_SumApprox_trivial():
x = symbols('x')
expr1 = 1 + x
sum_approx = SumApprox(bounds=... |
8dc6e1c964d1c0c3f84661d373ecab9f9c355bd69da585e400fc5182a03589e4 | 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... |
bdec849ea7957ed22c80a9531bfc4c98259c58f2c379257f3a90047a485fbe94 | import tempfile
from sympy.core.numbers import pi
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.complexes import Abs
from sympy.functions.elementary.exponential import (exp, log)
from sympy.functions.elementary.trigonometric impo... |
7dabbccc0accecf084240348d5d91954d48ce298c23174bb61f94d20c3643297 | from itertools import product
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import (exp, log)
from sympy.printing.repr import srepr
from sympy.codegen.numpy_nodes import logaddexp, logaddexp2
x, y, z = symbols('x y z')
def test_logaddexp():
la... |
eb60609cd8852e8b4265715046600ce0b4cf9cb5c2bd12535c7078b48be64f01 | 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... |
1aca35f0a2b34b003ed401c2e794a01cf01f1f51ab19408668de9047b8ae10ed | from sympy.core.symbol import symbols
from sympy.codegen.pynodes import List
def test_List():
l = List(2, 3, 4)
assert l == List(2, 3, 4)
assert str(l) == "[2, 3, 4]"
x, y, z = symbols('x y z')
l = List(x**2,y**3,z**4)
# contrary to python's built-in list, we can call e.g. "replace" on List.
... |
80d2d21aabf4882bed727e327178bfb34fc405d044e5d8f9ef6e5225118c4ed9 | """
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, ... |
922efc1d21cdbc3e90f4b2ec37c98d84a759949c8983792b91c45e219f865028 | 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`... |
f2dc4228fe79a651a40ab3bdc613b534c032c34e6e160f5b9cfb382a90ef72ac | from sympy.assumptions import Predicate
from sympy.multipledispatch import Dispatcher
class SquarePredicate(Predicate):
"""
Square matrix predicate.
Explanation
===========
``Q.square(x)`` is true iff ``x`` is a square matrix. A square matrix
is a matrix with the same number of rows and colum... |
d1c4ee0fdd0213f5d249fe797ff63ed344e7c675dce94c4c54d227c528294f88 | from sympy.assumptions import Predicate
from sympy.multipledispatch import Dispatcher
class IntegerPredicate(Predicate):
"""
Integer predicate.
Explanation
===========
``Q.integer(x)`` is true iff ``x`` belongs to the set of integer
numbers.
Examples
========
>>> from sympy imp... |
627bb641a5c1274e08eae9a3fa1a6ffcebbc50648c6a0ee279d7b925dd3ab0f7 | """
Handlers for keys related to number theory: prime, even, odd, etc.
"""
from sympy.assumptions import Q, ask
from sympy.core import Add, Basic, Expr, Float, Mul, Pow, S
from sympy.core.numbers import (ImaginaryUnit, Infinity, Integer, NaN,
NegativeInfinity, NumberSymbol, Rational)
from sympy.functions import Ab... |
a6f3dc57fbac742f9ec458cd6941e6056ac467e7b0379e34d12c371bd6cee58a | """
This module contains query handlers responsible for calculus queries:
infinitesimal, finite, etc.
"""
from sympy.assumptions import Q, ask
from sympy.core import Add, Mul, Pow, Symbol
from sympy.core.numbers import (NegativeInfinity, GoldenRatio,
Infinity, Exp1, ComplexInfinity, ImaginaryUnit, NaN, Number, Pi,... |
f85d6fcb23e7779dbf12b9c78c73b3caa85983582eeeb7f431d3ec9e504ae762 | """
This module defines base class for handlers and some core handlers:
``Q.commutative`` and ``Q.is_true``.
"""
from sympy.assumptions import Q, ask, AppliedPredicate
from sympy.core import Basic, Symbol
from sympy.core.logic import _fuzzy_group
from sympy.core.numbers import NaN, Number
from sympy.logic.boolalg impo... |
8d018b79ad9c436e420638d93df6a8a7344a13fc8bf7d6302ce94ea9677119a9 | """
This module contains query handlers responsible for Matrices queries:
Square, Symmetric, Invertible etc.
"""
from sympy.logic.boolalg import conjuncts
from sympy.assumptions import Q, ask
from sympy.assumptions.handlers import test_closed_group
from sympy.matrices import MatrixBase
from sympy.matrices.expressions ... |
21bcdbd20c2c78de1dd4626eb382d2d7b5421244ca1d529550780a613dca011f | """
Handlers related to order relations: positive, negative, etc.
"""
from sympy.assumptions import Q, ask
from sympy.core import Add, Basic, Expr, Mul, Pow
from sympy.core.logic import fuzzy_not, fuzzy_and, fuzzy_or
from sympy.core.numbers import E, ImaginaryUnit, NaN, I, pi
from sympy.functions import Abs, acos, aco... |
6fa525c26ea11a628d2867758d3050b0a7af20778d04f4764fb11e7925726357 | """
Handlers for predicates related to set membership: integer, rational, etc.
"""
from sympy.assumptions import Q, ask
from sympy.core import Add, Basic, Expr, Mul, Pow, S
from sympy.core.numbers import (AlgebraicNumber, ComplexInfinity, Exp1, Float,
GoldenRatio, ImaginaryUnit, Infinity, Integer, NaN, NegativeInf... |
ed96b8913bc464ebef607a200f76189c8c77bbbf3fc396823d1cdded8a788d9e | from sympy.assumptions.ask import Q
from sympy.assumptions.refine import refine
from sympy.core.expr import Expr
from sympy.core.numbers import (I, Rational, nan, pi)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.complexes import (Abs, arg, im, re, sign)
from sy... |
208aaa231ce42df00da53341284b02182a77066f339839d8776df0a2a2a1f441 | from sympy.assumptions.ask import Q
from sympy.assumptions.assume import assuming
from sympy.core.numbers import (I, pi)
from sympy.core.relational import (Eq, Gt)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.complexes import Abs
from sympy.logic.boolalg impor... |
9f34a87ee6b0735f2135ef4d8f474dfe54de0f06b629b3e3b782b6aef6f7c66c | from sympy.assumptions.ask import (Q, ask)
from sympy.core.symbol import Symbol
from sympy.matrices.expressions.diagonal import (DiagMatrix, DiagonalMatrix)
from sympy.matrices.dense import Matrix
from sympy.matrices.expressions import (MatrixSymbol, Identity, ZeroMatrix,
OneMatrix, Trace, MatrixSlice, Determin... |
8cc09941bdc6ea9550e4c1da493595ff47942c768217c328c2ed762e5ef6ae0b | from sympy.assumptions.ask import Q
from sympy.core.basic import Basic
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.symbol import symbols
from sympy.logic.boolalg import (And, Or)
from sympy.assumptions.sathandlers import (ClassFactRegistry, allargs,
anyarg, exactlyonearg,)
x, y... |
281ed502d6906d449dc21f7f069d12eb7450c27d5e9f61ad7391dfb39d08c258 | from sympy.assumptions.ask import Q
from sympy.core.symbol import Symbol
from sympy.assumptions.wrapper import (AssumptionsWrapper, is_infinite,
is_extended_real)
def test_AssumptionsWrapper():
x = Symbol('x', positive=True)
y = Symbol('y')
assert AssumptionsWrapper(x).is_positive
assert Assumptio... |
76952670a7f58a8643ca0717255765cea2c76efe73808fddeca8387a7da7e55d | 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_... |
4e3a3217bc1de9faf85f377e644919531174eda336cd4957ff6e959118654867 | """
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... |
78d9a32a83feca81b85e07c704da166766337507d819895c4242c38a0b9638ab | from typing import List
from functools import reduce
from sympy.core import S, sympify, Dummy, Mod
from sympy.core.cache import cacheit
from sympy.core.function import Function, ArgumentIndexError, PoleError
from sympy.core.logic import fuzzy_and
from sympy.core.numbers import Integer, pi, I
from sympy.core.relational... |
f5ef6fd705008447bca804fa42b8d27e42043ab421dfca59126e102939925565 | 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... |
677596a478dfd406ce1c80b6e50e39cf93c267d00d66fd151eeb7c917145c108 | 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... |
f519f1665ccece26438d621651719099e3d6ede911082f3ea59cb918053ae3d0 | 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... |
2bca0e8d69dfdb3865d9fead736818f86d059e94c72df9da96884fd4da5753d1 | 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... |
ba7457dc5816f3576a1e1ad961921530a40346d4c618a15e53f52b61d36e385c | 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)... |
65e740e218f41240602b009851e687bab931479e56cb98448ba38b581e0ad5f1 | 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... |
7f2eb3a394e54321860c9ea7a19918bfad588f3b1fbccb08654ebb6aab4ecafd | from typing import Tuple as tTuple
from sympy.core import S, Add, Mul, sympify, Symbol, Dummy, Basic
from sympy.core.expr import Expr
from sympy.core.exprtools import factor_terms
from sympy.core.function import (Function, Derivative, ArgumentIndexError,
AppliedUndef, expand_mul)
from sympy.core.logic import fuzzy... |
5cc30db9aad93426b08f535ba96a63cf5372c7b3674b8bb8da5070f621cf65f9 | """Hypergeometric and Meijer G-functions"""
from functools import reduce
from sympy.core import S, I, pi, oo, zoo, ilcm, Mod
from sympy.core.add import Add
from sympy.core.expr import Expr
from sympy.core.function import Function, Derivative, ArgumentIndexError
from sympy.core.containers import Tuple
from sympy.core.... |
2ecf31945c1d95b237bc6bb588739951f7d269f94564109627572d14ad011d79 | 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... |
53aa32236aead5cf231020905d44baf7d4daaac6c26c3cd7c6b37f56fe828e08 | from sympy.core import S, sympify, diff
from sympy.core.function import Function, ArgumentIndexError
from sympy.core.logic import fuzzy_not
from sympy.core.relational import Eq, Ne
from sympy.functions.elementary.complexes import im, sign
from sympy.functions.elementary.piecewise import Piecewise
from sympy.polys.polye... |
d3dd9cb2699e1067b9e944302315d1b9b122d7b25f18f6b649c6ec41d000568f | from sympy.core.expr import Expr
from sympy.core.function import Function, ArgumentIndexError
from sympy.core.numbers import I, pi
from sympy.core.singleton import S
from sympy.core.symbol import Dummy
from sympy.core.sympify import sympify
from sympy.functions import assoc_legendre
from sympy.functions.combinatorial.f... |
475c3d7ebc5008ff3f09d2cd7bbf53e044a48a8bfb0e57f33d7c4a6afd9351e9 | from sympy.core import S, sympify
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions import Piecewise, piecewise_fold
from sympy.sets.sets import Interval
from functools import lru_cache
def _ivl(cond, x):
"""return the interval corresponding to the condition
Conditions in spline's Piecewis... |
88b579d92885537b776d7b2af91cb5ddce882006bc31f3c2e111ba0d4f7f9eda | """ Riemann zeta and related function. """
from sympy.core.add import Add
from sympy.core import Function, S, sympify, pi, I
from sympy.core.function import ArgumentIndexError, expand_mul
from sympy.core.symbol import Dummy
from sympy.functions.combinatorial.numbers import bernoulli, factorial, harmonic
from sympy.fun... |
4f1ace3cae9275d3af9eeec587139a90d912a2ba5e44a395c353b42196893f6a | from sympy.core import S, sympify, oo, diff
from sympy.core.function import Function, ArgumentIndexError
from sympy.core.logic import fuzzy_not
from sympy.core.relational import Eq
from sympy.functions.elementary.complexes import im
from sympy.functions.elementary.piecewise import Piecewise
from sympy.functions.special... |
db78655f3e4146d01f6f582bf0e7caed36fa884cc6077f2097195c3d419d43f2 | from functools import wraps
from sympy.core import S
from sympy.core.add import Add
from sympy.core.cache import cacheit
from sympy.core.expr import Expr
from sympy.core.function import Function, ArgumentIndexError, _mexpand
from sympy.core.logic import fuzzy_or, fuzzy_not
from sympy.core.numbers import Rational, pi, ... |
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