hash stringlengths 64 64 | content stringlengths 0 1.51M |
|---|---|
2819983c8178f52ab7e256f36c5099458592c887619d1dc02b7abe55b53a82b5 | from sympy.core.numbers import Float
from sympy.physics.quantum.constants import hbar
def test_hbar():
assert hbar.is_commutative is True
assert hbar.is_real is True
assert hbar.is_positive is True
assert hbar.is_negative is False
assert hbar.is_irrational is True
assert hbar.evalf() == Floa... |
45ad3127f32f6746ec8209da25dc7aceed423967979d1aece6868ffb51b274aa | from random import randint
from sympy.core.numbers import Integer
from sympy.matrices.dense import (Matrix, ones, zeros)
from sympy.physics.quantum.matrixutils import (
to_sympy, to_numpy, to_scipy_sparse, matrix_tensor_product,
matrix_to_zero, matrix_zeros, numpy_ndarray, scipy_sparse_matrix
)
from sympy.ex... |
dfbb53f29e8c8478c061ea1acb5672bfb802b3e0de6508b855dc141f621f7c31 | from sympy.core.numbers import (I, Integer)
from sympy.physics.quantum.innerproduct import InnerProduct
from sympy.physics.quantum.dagger import Dagger
from sympy.physics.quantum.state import Bra, Ket, StateBase
def test_innerproduct():
k = Ket('k')
b = Bra('b')
ip = InnerProduct(b, k)
assert isinsta... |
70e883dacff2749e1d437dc9ab3c5d8598bc263f72e20b2bdefd47c5bf67fdcd | from sympy.core.containers import Tuple
from sympy.core.symbol import symbols
from sympy.matrices.dense import Matrix
from sympy.physics.quantum.trace import Tr
from sympy.testing.pytest import raises
def test_trace_new():
a, b, c, d, Y = symbols('a b c d Y')
A, B, C, D = symbols('A B C D', commutative=False)... |
a70d78410e9705390adf9d36d44fe70ea72f5dd3a2e1b2e23e591d77213ceb9b | from sympy.concrete.summations import Sum
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.quantum.cg import Wigner3j, Wigner6j, Wigner9j, CG, cg_simp
from sympy.functions.special... |
d77431eabbf45df27ef20a0cc16c3dc4a869d9733b6133c606eddb7ceda0784f | # -*- encoding: utf-8 -*-
"""
TODO:
* Address Issue 2251, printing of spin states
"""
from typing import Dict as tDict, Any
from sympy.physics.quantum.anticommutator import AntiCommutator
from sympy.physics.quantum.cg import CG, Wigner3j, Wigner6j, Wigner9j
from sympy.physics.quantum.commutator import Commutator
from ... |
9dcef9644e575edadcf3c39c7c1e66006874d56a5fddde116ecbbcbcb24f4c2f | """Tests for sho1d.py"""
from sympy.core.numbers import (I, Integer)
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.quantum import Dagger
from sympy.physics.quantum.constants import hbar
from sympy.physics.quantum imp... |
1ab2405914151ff97c1081eb8f5bdeda3b71b247bbd88ae2437968f787eaad54 | from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.symbol import Symbol
from sympy.utilities import numbered_symbols
from sympy.physics.quantum.gate import X, Y, Z, H, CNOT, CGate
from sympy.physics.quantum.identitysearch import bfs_identity_search
from sympy.physics.quantum.circuitut... |
5237ce7704733571cad0032111a238df578c3635542bb825aa21b13972440b9d | from sympy.core.add import Add
from sympy.core.function import diff
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Integer, Rational, oo, pi)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.core.sympify import sympify
from... |
cd6997a22d5c3c54365ce75a02f6ea4cde047b13df7c6dd97a0d21d690d14ad4 | from sympy.core.function import expand_mul
from sympy.core.numbers import pi
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.dense import Matrix
from sympy.core.backend import _simplify_matri... |
658e647a922ced763a4ebfab3ada6235fff9211a50ea2657f6fe69b35ff2aa3d | from sympy.core.symbol import symbols
from sympy.physics.mechanics import Point, Particle, ReferenceFrame, inertia
from sympy.testing.pytest import raises
def test_particle():
m, m2, v1, v2, v3, r, g, h = symbols('m m2 v1 v2 v3 r g h')
P = Point('P')
P2 = Point('P2')
p = Particle('pa', P, m)
asse... |
b60744abfd8712aeb32cf0ed5d695e9492d48f98c59b3bb061d16ed1c1d161d8 | from sympy.physics.mechanics import (dynamicsymbols, ReferenceFrame, Point,
RigidBody, LagrangesMethod, Particle,
inertia, Lagrangian)
from sympy.core.function import (Derivative, Function)
from sympy.core.numbers import pi
from sympy.core.symbol i... |
5fb96bc53216b933fb1a0a58c86566386e3ccc6e140d657df450025c53b954c0 | import sympy.physics.mechanics.models as models
from sympy.core.backend import (cos, sin, Matrix, symbols, zeros)
from sympy.simplify.simplify import simplify
from sympy.physics.mechanics import (dynamicsymbols)
def test_multi_mass_spring_damper_inputs():
c0, k0, m0 = symbols("c0 k0 m0")
g = symbols("g")
... |
43ea9143dcce156df163f1eaca5555c9c7f1dd35da7eb3f1f15a6955d1b79099 | from sympy.core.backend import (cos, expand, Matrix, sin, symbols, tan, sqrt, S,
zeros)
from sympy.simplify.simplify import simplify
from sympy.physics.mechanics import (dynamicsymbols, ReferenceFrame, Point,
RigidBody, KanesMethod, inertia, Particle,... |
1b85dd185a7a948530349eaa9bbed7db864f2a019ccb1601b82bfad567913973 | from sympy.core.backend import (symbols, Matrix, cos, sin, atan, sqrt,
Rational, _simplify_matrix)
from sympy.core.sympify import sympify
from sympy.simplify.simplify import simplify
from sympy.solvers.solvers import solve
from sympy.physics.mechanics import dynamicsymbols, ReferenceFrame, Point,\
dot, cross, i... |
542b4a3e7ee5148e5da6598a8c3724d8f77235b2fff5b7b7e4649bc3058082b4 | from sympy.core.symbol import symbols
from sympy.physics.mechanics import Point, ReferenceFrame, Dyadic, RigidBody
from sympy.physics.mechanics import dynamicsymbols, outer, inertia
from sympy.physics.mechanics import inertia_of_point_mass
from sympy.core.backend import expand
from sympy.testing.pytest import raises
... |
bd1c6f387e7ac2e5914f28264dc249640941e81c3656585cafdaba039dbafd60 | from sympy.core.backend import symbols, Matrix, atan, zeros
from sympy.simplify.simplify import simplify
from sympy.physics.mechanics import (dynamicsymbols, Particle, Point,
ReferenceFrame, SymbolicSystem)
from sympy.testing.pytest import raises
# This class is going to be tested ... |
c8d380861e2750cbd5d1b0eb5efa850953aa8e0105e97b5ebdbc046662637f82 | from sympy.core.function import expand
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.dense import Matrix
from sympy.simplify.trigsimp import trigsimp
from sympy.physics.mechanics import (PinJoint, JointsMethod, Body, KanesMethod,
... |
828ee9f513be2b2c73ac79c37b2045bb8938a87afc5fc26cf17b4634f4ad08b6 | from sympy.core.evalf import evalf
from sympy.core.numbers import pi
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import acos, sin, cos
from sympy.matrices.dense import Matrix
from sympy.physics.mechanics import (ReferenceF... |
dccc1e43fa9f6f273c5aa712bef8fb88a40b45d325922f52eae37277c6480cdd | from sympy.core.backend import cos, Matrix, sin, zeros, tan, pi, symbols
from sympy.simplify.simplify import simplify
from sympy.simplify.trigsimp import trigsimp
from sympy.solvers.solvers import solve
from sympy.physics.mechanics import (cross, dot, dynamicsymbols,
find_dynamicsym... |
5ca48058f7b336057e28d6fcb555654ed3e5cb4f5295ee4f2537a2d2df2106b2 | from sympy.physics.units.definitions.dimension_definitions import current, temperature, amount_of_substance, \
luminous_intensity, angle, charge, voltage, impedance, conductance, capacitance, inductance, magnetic_density, \
magnetic_flux, information
from sympy.core.numbers import (Rational, pi)
from sympy.cor... |
073976c43e4120a5b3c6c83dbb5b9102bfb38372442e7cf6363cee86ff71d439 | from sympy.core.singleton import S
from sympy.core.numbers import pi
from sympy.physics.units import DimensionSystem, hertz, kilogram
from sympy.physics.units.definitions import (
G, Hz, J, N, Pa, W, c, g, kg, m, s, meter, gram, second, newton,
joule, watt, pascal)
from sympy.physics.units.definitions.dimensi... |
2eb1627234208843f65d056620fc13e808561410d527b9a97cfe248bd01f8540 | from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.units import UnitSystem, centimeter, gram, second, coulomb, charge, speed_of_light, current, mass, \
length, voltage, magnetic_density, magnetic_flux
from sympy.physics.units.definitions import coulombs_c... |
fb3a4a67d614e9be6f501272a177cca742d2f10b160be08a73e5541f67c38b53 | """
SI unit system.
Based on MKSA, which stands for "meter, kilogram, second, ampere".
Added kelvin, candela and mole.
"""
from typing import List
from sympy.physics.units import DimensionSystem, Dimension, dHg0
from sympy.physics.units.quantities import Quantity
from sympy.core.numbers import (Rational, pi)
from ... |
0d0415f12fcc240b59c4d6e1feaa518684e5f41377a9a33304e772be8e6c7e26 | import warnings
from sympy.core.add import Add
from sympy.core.function import (Function, diff)
from sympy.core.numbers import (Number, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import Abs
from sympy.functions.elementary.expon... |
8c9fef1b107db99530cd80b7856bfa1ff9d0f325da7ec9243f16cc5729444c7e | from sympy.physics.units import DimensionSystem, joule, second, ampere
from sympy.testing.pytest import warns_deprecated_sympy
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.physics.units.definitions import c, kg, m, s
from sympy.physics.units.definitions.dimension_definitions im... |
0cda342e068a9834a746ea073a581da33e17f07727d279dd22fa1c0cdd310059 | from sympy.physics.units.systems.si import dimsys_SI
from sympy.core.numbers import pi
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 log
from sympy.functions.elementary.miscellaneous import... |
c1b6fea13975bf91f4b1b9e9f618aa201a01886a76635710d2806d23aa77fe3c | from sympy.core.mul import Mul
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.physics.units import Quantity, length, meter
from sympy.physics.units.prefixes import PREFIXES, Prefix, prefix_unit, kilo, \
kibi
from sympy.physics.un... |
55b657e73d7823fbf5c56993dbf0a731c88772f3759acf64c36a0024d3a58ae9 | from sympy.core.containers import Tuple
from sympy.core.numbers import pi
from sympy.core.power import Pow
from sympy.core.symbol import symbols
from sympy.core.sympify import sympify
from sympy.printing.str import sstr
from sympy.physics.units import (
G, centimeter, coulomb, day, degree, gram, hbar, hour, inch, j... |
53e47c27f8941f10e7c461a4971818708a31ecb65bdc022deb12fee9eaccca40 | from sympy.testing.pytest import warns_deprecated_sympy
from sympy.core.symbol import symbols
from sympy.matrices.dense import (Matrix, eye)
from sympy.physics.units.definitions.dimension_definitions import (
action, current, length, mass, time,
velocity)
from sympy.physics.units.dimensions import DimensionSys... |
00738f757633d6a027f755398220720420b0cb3d7a28194a0f8b9fa8430d6e63 | from sympy.concrete.tests.test_sums_products import NS
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.units import convert_to, coulomb_constant, elementary_charge, gravitational_constant, planck
from sympy.physics.units.definitions.unit_definitions impor... |
ebc177e9e23d0d0a086874299946350b310c7ced91b2a828e9634ebf8c7bbc3c | from sympy.matrices.dense import eye, Matrix
from sympy.tensor.tensor import tensor_indices, TensorHead, tensor_heads, \
TensExpr, canon_bp
from sympy.physics.hep.gamma_matrices import GammaMatrix as G, LorentzIndex, \
kahane_simplify, gamma_trace, _simplify_single_line, simplify_gamma_expression
def _is_tens... |
e60474d71f4796a33f0d589296eed87f59b9350588da8a817b56b77519017087 | from sympy.core.numbers import pi
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.integrals.integrals import Integral
from sympy.physics.vector import Dyadic, Poi... |
05d01f935a183ba6f153837a0d9f6e1078b7b68402afbf0fe6fc73d83d7c3a55 | from sympy.core.numbers import (Float, pi)
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.immutable import ImmutableDenseMatrix as Matrix
from sympy.physics.vector import ReferenceFrame, Vector, dynamicsymbols, dot
from sympy.abc import x, y, z
... |
30b1c556d5d69a9ba04297e27b849a4b0c1a76f87c2a03037f13a686f1ad665f | from sympy.core.numbers import pi
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.dense import (eye, zeros)
from sympy.matrices.immutable import ImmutableDenseMatrix as Matrix
from sympy.simplify.simplify import simplify
from sympy.physics.vector... |
1548e1d7c43307a75749abbd887bad6f7ea8dbc7da49aed3f6c07489ca636be3 | from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.physics.vector import ReferenceFrame, Vector, Point, \
dynamicsymbols
from sympy.physics.vector.fieldfunctions import divergence, \
gradient, curl, is_conservative... |
d3d54a3ffb926a2267cb92f136591233053f2dd42167ac86aa80f5186e1d7365 | from sympy.core.numbers import (Float, pi)
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.immutable import ImmutableDenseMatrix as Matrix
from sympy.physics.vector import ReferenceFrame, Vector, dynamicsymbols, outer
from sympy.physics.vector.dy... |
4c5aaca366146f9cf0e285fa1f6d3a5aed174f025914a3d8f7681debc92d30de | from sympy.core.singleton import S
from sympy.physics.vector import Vector, ReferenceFrame, Dyadic
from sympy.testing.pytest import raises
Vector.simp = True
A = ReferenceFrame('A')
def test_output_type():
A = ReferenceFrame('A')
v = A.x + A.y
d = v | v
zerov = Vector(0)
zerod = Dyadic(0)
# ... |
929b625f7c72ff13d2ca0f1fe316768c99e8af29cfbdf4de9ce06d9edb185da6 | # -*- coding: utf-8 -*-
from sympy.core.function import Function
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (asin, cos, sin)
from sympy.physics.vector import ReferenceFrame, dynamicsymbols, Dyadic
from sympy.physi... |
d9168c3b967a4ba8025966ac1f316c6d8b76a479b768d3543be7c7ffb3a904ce | from sympy.core.function import expand
from sympy.core.numbers import (Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.sets.sets import Interval
from sympy.simplify.simplify import simplify
from sympy.physics.continuum_mechanics.beam import Beam
from sympy.fun... |
3de15fae5ecc0645811dd73bf7ab030d80ee8467a96addc3424ecf9b24d7567c | from sympy.core.function import (Derivative, Function)
from sympy.core.numbers import (I, pi)
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (atan2, cos, sin)
from sympy.simplify.simplify import simplify
from... |
c3c04973b59eafdce69e0645a466dd33211ac0583923c3699910e0fedc8dd63c | from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.optics import Medium
from sympy.abc import epsilon, mu, n
from sympy.physics.units import speed_of_light, u0, e0, m, kg, s, A
from sympy.testing.pytest import raises
c = speed_of_light.convert_to(m/s)
e0 = e0.convert_to(A**2*s**4/(kg*m**3))
... |
4a389c8c0a6d7191b0b97fa26ff2eaecf94638da2dbe8d97278a77240f623552 | from sympy.core.numbers import comp, Rational
from sympy.physics.optics.utils import (refraction_angle, fresnel_coefficients,
deviation, brewster_angle, critical_angle, lens_makers_formula,
mirror_formula, lens_formula, hyperfocal_distance,
transverse_magnification)
from sympy.physics.optics.med... |
f35333c80dbd1d972483f4acfbcf3ee68d20f5aba00ea0abfcbc1c248897b80d | from sympy.physics.optics.polarization import (jones_vector, stokes_vector,
jones_2_stokes, linear_polarizer, phase_retarder, half_wave_retarder,
quarter_wave_retarder, transmissive_filter, reflective_filter,
mueller_matrix, polarizing_beam_splitter)
from sympy.core.numbers import (I, pi)
from sympy.core.si... |
a5152fc5fd2bc728afdd9e9f2938c6305b9997cdf2e2bf42195030283c0806fb | from sympy.core.evalf import N
from sympy.core.numbers import (Float, I, oo, pi)
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import atan2
from sympy.matrices.dense import Matrix
from sympy.polys.polytools import factor
fr... |
88249c9c01cf20129b562041ed81f26bc1f2684337010adcb6a0055c73701e69 | from typing import Optional
from sympy.core.expr import Expr
from sympy.core.function import Derivative
from sympy.core.numbers import Integer
from sympy.matrices.common import MatrixCommon
from .ndim_array import NDimArray
from .arrayop import derive_by_array
from sympy.matrices.expressions.matexpr import MatrixExpr
... |
16cfbd378610d1220858ad6d6bd8799fc7fd510fe48a07e5608bb306ca4eda8e | import functools, itertools
from sympy.core.sympify import sympify
from sympy.core.expr import Expr
from sympy.core import Basic
from sympy.tensor.array import ImmutableDenseNDimArray
from sympy.core.symbol import Symbol
from sympy.core.numbers import Integer
class ArrayComprehension(Basic):
"""
Generate a li... |
95a16b78dcc0bc663c30833f6e61a9d4eee98bcba05da532b4e188bcf2e458b6 | import itertools
from collections.abc import Iterable
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.function import diff
from sympy.core.singleton import S
from sympy.core.sympify import _sympify
from sympy.tensor.array.ndim_array import NDimArray
from sympy.tensor.array.d... |
e270ff1e0f89742ff5998413a2198a15f2f933552076ad1fa670d420b913b6af | from sympy.core.basic import Basic
from sympy.core.containers import (Dict, Tuple)
from sympy.core.singleton import S
from sympy.core.sympify import _sympify
from sympy.tensor.array.mutable_ndim_array import MutableNDimArray
from sympy.tensor.array.ndim_array import NDimArray, ImmutableNDimArray
from sympy.utilities.it... |
7ce3c9cb0bd24472a70a4dff40dcd7bca11646177baf25f8bf35eac65341f32b | from sympy.core.basic import Basic
from sympy.core.containers import (Dict, Tuple)
from sympy.core.expr import Expr
from sympy.core.kind import Kind, NumberKind, UndefinedKind
from sympy.core.numbers import Integer
from sympy.core.singleton import S
from sympy.core.sympify import sympify
from sympy.external.gmpy import... |
8b489ed80b9d527d5ddea1e38ebdff4976d901f40e444e12eb46d9404b3f53f1 | import functools
from typing import List
from sympy.core.basic import Basic
from sympy.core.containers import Tuple
from sympy.core.singleton import S
from sympy.core.sympify import _sympify
from sympy.simplify.simplify import simplify
from sympy.tensor.array.mutable_ndim_array import MutableNDimArray
from sympy.tenso... |
e5aab7e13327224ffc4ec4b4b530411c5de39f07d0941e0ce09501cd29eb8fba | from sympy.tensor.functions import TensorProduct
from sympy.matrices.dense import Matrix
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.tensor.array import Array
from sympy.abc import x, y, z
from sympy.abc import i, j, k, l
A = MatrixSymbol("A", 3, 3)
B = MatrixSymbol("B", 3, 3)
C = MatrixSym... |
1b7abbd10c3d6a327ceee90ae9e206db704994a89b390f92c0f2aa721ca39d7e | from sympy.testing.pytest import raises
from sympy.tensor.toperators import PartialDerivative
from sympy.tensor.tensor import (TensorIndexType,
tensor_indices,
TensorHead, tensor_heads)
from sympy.core.numbers import Rational
from sympy.core.symbol impo... |
c37fa68cbcc463e9be615d6ac1a75ce5d89f585c9074c63aad3f9a52c6d7c3ff | from functools import wraps
from sympy.concrete.summations import Sum
from sympy.core.function import expand
from sympy.core.numbers import Integer
from sympy.matrices.dense import (Matrix, eye)
from sympy.tensor.indexed import Indexed
from sympy.combinatorics import Permutation
from sympy.core import S, Rational, Sym... |
3eef79d73e3261830e5c129c36d787eb785303198d5fcef4da74901ffa5c8851 | from sympy.core import symbols, S, Pow, Function
from sympy.functions import exp
from sympy.testing.pytest import raises
from sympy.tensor.indexed import Idx, IndexedBase
from sympy.tensor.index_methods import IndexConformanceException
from sympy.tensor.index_methods import (get_contraction_structure, get_indices)
d... |
af05688e495a1720eced63da162200d300ff9c9b8540a79a7faf2095f546e4b8 | from sympy.core import symbols, Symbol, Tuple, oo, Dummy
from sympy.tensor.indexed import IndexException
from sympy.testing.pytest import raises, XFAIL
from sympy.utilities.iterables import iterable
# import test:
from sympy.concrete.summations import Sum
from sympy.core.function import Function, Subs, Derivative
from... |
d5d17de85b6a506689cdeb61c36def2488f71f929dc6c5355f27780d4e78101e | from sympy.tensor.tensor import (Tensor, TensorIndexType, TensorSymmetry,
tensor_indices, TensorHead, TensorElement)
from sympy.tensor import Array
from sympy.core.symbol import Symbol
def test_tensor_element():
L = TensorIndexType("L")
i, j, k, l, m, n = tensor_indices("i j k l m n", L)
A = Tens... |
765bc61cdff074f63bd541893c57b4b47f44b7e4f14b8f8c07a949b881f96ddf | import random
from sympy.combinatorics import Permutation
from sympy.combinatorics.permutations import _af_invert
from sympy.testing.pytest import raises
from sympy.core.function import diff
from sympy.core.symbol import symbols
from sympy.functions.elementary.complexes import (adjoint, conjugate, transpose)
from sym... |
dceda70f8fddd5314fef9a9c189f170f80f07cf6e51732a163a7c080d43d289d | from sympy.core.symbol import symbols
from sympy.matrices.dense import Matrix
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.tensor.array.ndim_array import NDimArray
from sympy.matrices.common import MatrixCommon
from sympy.tensor.array.array_derivatives import ArrayDerivative
x, y, z, t = symb... |
1f2176e71c7969dd265a7a48480f726b953aacbf3a6eef5150a1032a59098103 | from sympy.testing.pytest import raises
from sympy.functions.elementary.trigonometric import sin, cos
from sympy.matrices.dense import Matrix
from sympy.simplify import simplify
from sympy.tensor.array import Array
from sympy.tensor.array.dense_ndim_array import (
ImmutableDenseNDimArray, MutableDenseNDimArray)
fro... |
01510480b2b8abe177382e3a8f233f26645c942c1a8f96a1e33daefec26e639e | from copy import copy
from sympy.tensor.array.dense_ndim_array import ImmutableDenseNDimArray
from sympy.core.containers import Dict
from sympy.core.function import diff
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.matrices import... |
0944f44a09ba6536f5217c61656405cf25f5553dd280f9fb1c1ce394ba59a5d1 | from copy import copy
from sympy.tensor.array.dense_ndim_array import MutableDenseNDimArray
from sympy.core.function import diff
from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.matrices import SparseMatrix... |
4e3b0b840f3f6422ac6fb5aaf5865d60dedac4a89aab947b1a9ef329603bf85a | from collections import defaultdict
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.power import Pow
from sympy.core.sorting import default_sort_key
from sympy.functions.special.tensor_functions import Kronec... |
2a9dba2e48ce307e248aab58f508e2baa6d339a0eccc974f58931fa1f7ffd0e5 | import itertools
from collections import defaultdict
from typing import Tuple as tTuple, Union as tUnion, FrozenSet, Dict as tDict, List, Optional
from functools import singledispatch
from itertools import accumulate
from sympy import MatMul, Basic, Wild
from sympy.assumptions.ask import (Q, ask)
from sympy.core.mul i... |
0ab34a8f599bbc54892524efb0733918a9a9657fd7193c8a916eb972c6c9bcfb | from sympy.core.basic import Basic
from sympy.core.function import Lambda
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.matrices.expressions.hadamard import (HadamardPowe... |
5b08e4471eeebe9700ad855337c912ff66b59bf13742a3e4d92d44ad3a357696 | import bisect
from collections import defaultdict
from sympy.core.containers import Tuple
from sympy.core.numbers import Integer
def _get_mapping_from_subranks(subranks):
mapping = {}
counter = 0
for i, rank in enumerate(subranks):
for j in range(rank):
mapping[counter] = (i, j)
... |
403d1409181e89cc3dc5a949af42eb497614b689d5219dfa8808798db5d70d38 | import operator
from collections import defaultdict, Counter
from functools import reduce
import itertools
from itertools import accumulate
from typing import Optional, List, Dict as tDict, Tuple as tTuple
import typing
from sympy import Integer
from sympy.core.basic import Basic
from sympy.core.containers import Tup... |
eb06973a25792f45b67210913ba1119d41240865a012f448a087f4b92b0ccf2d | import operator
from functools import reduce, singledispatch
from sympy.core.expr import Expr
from sympy.core.singleton import S
from sympy.matrices.expressions.hadamard import HadamardProduct
from sympy.matrices.expressions.inverse import Inverse
from sympy.matrices.expressions.matexpr import (MatrixExpr, MatrixSymbo... |
5bbd4c8bf80dd21148f20e4fe227eba9ce23cfaa65c692606328fb579628e179 | from sympy import Lambda, S, Dummy
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import cos, sin
from sympy.matrices.expressions.hadamard import HadamardProduct, HadamardPower
from sympy.matrices.expressions.special import (... |
9ce8c52970aa60dbb63bb4b37354c3d71d5bb147213d1006de71a534611dd588 | from sympy.core.symbol import Symbol
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.tensor.array.arrayop import (permutedims, tensorcontraction, tensordiagonal, tensorproduct)
from sympy.tensor.array.dense_ndim_array import ImmutableDenseNDimArray
from sympy.tensor.array.expressions.array_expres... |
e804fedfb3e1bc582fb46325535af8fb3e341851d244208c7780b1dcd7b40d0e | from sympy.concrete.summations import Sum
from sympy.core.symbol import symbols
from sympy.functions.special.tensor_functions import KroneckerDelta
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.special import Identity
from sympy.tensor.indexed import IndexedBase
from sympy.... |
1d80c985e1b9fb47d301764c9ac183c8a4d7cd9a06c9bbdfa8c906f246320bc0 | from sympy import Lambda
from sympy.core.symbol import symbols, Dummy
from sympy.matrices.expressions.hadamard import (HadamardPower, HadamardProduct)
from sympy.matrices.expressions.inverse import Inverse
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.matpow import MatPow
f... |
e68aec6c3d78f71d48738963b0ddab492ce2656831797148b957abebdb25066e | import random
from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.expressions.diagonal import DiagMatrix
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.special import ZeroMatrix
from sympy.tensor.array.ar... |
ad66399a622e34fce5d98ca5ba3acf9fe8389a31ae5937afc9ce1e9eb45760b5 | from sympy.core.symbol import symbols
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.special import Identity
from sympy.matrices.expressions.applyfunc import ElementwiseApplyFunction
from sympy.tensor.array.expr... |
c2bd4d0d7a916c96c9a7c405ec5b419b835c02ec33ee6afa79b7353879812186 | from typing import Dict as tDict, Any
from sympy.multipledispatch import dispatch
from sympy.multipledispatch.conflict import AmbiguityWarning
from sympy.testing.pytest import raises, warns
from functools import partial
test_namespace = dict() # type: tDict[str, Any]
orig_dispatch = dispatch
dispatch = partial(disp... |
d2f3454dbbbdf988527e3c184ec66c3ff6781ccf16a4bd75fb1ba32c14b59188 | from sympy.assumptions.cnf import EncodedCNF
def pycosat_satisfiable(expr, all_models=False):
import pycosat
if not isinstance(expr, EncodedCNF):
exprs = EncodedCNF()
exprs.add_prop(expr)
expr = exprs
# Return UNSAT when False (encoded as 0) is present in the CNF
if {0} in exp... |
185ddb9b0e3f21b978e2911116b5d106edafb95494d19142eb5b7ae36950e038 | """Implementation of DPLL algorithm
Features:
- Clause learning
- Watch literal scheme
- VSIDS heuristic
References:
- https://en.wikipedia.org/wiki/DPLL_algorithm
"""
from collections import defaultdict
from heapq import heappush, heappop
from sympy.core.sorting import ordered
from sympy.assumptions.cnf im... |
cea8990e6d680f9b0dc45aa6ff41de9fa3637c82c80e9e6e46010e69dd6f6172 | """Implementation of DPLL algorithm
Further improvements: eliminate calls to pl_true, implement branching rules,
efficient unit propagation.
References:
- https://en.wikipedia.org/wiki/DPLL_algorithm
- https://www.researchgate.net/publication/242384772_Implementations_of_the_DPLL_Algorithm
"""
from sympy.core.so... |
b8835cbe42071966096fcbbe4343a09d281a1df55477db586056c1015362012a | from sympy.assumptions.cnf import EncodedCNF
def minisat22_satisfiable(expr, all_models=False, minimal=False):
if not isinstance(expr, EncodedCNF):
exprs = EncodedCNF()
exprs.add_prop(expr)
expr = exprs
from pysat.solvers import Minisat22
# Return UNSAT when False (encoded as 0) ... |
6ef6df4d35b175c0be7328b52d49111646dca2f7efff7255dce7e0f53a875989 | from sympy.assumptions.ask import Q
from sympy.assumptions.refine import refine
from sympy.core.numbers import oo
from sympy.core.relational import Equality, Eq, Ne
from sympy.core.singleton import S
from sympy.core.symbol import (Dummy, symbols)
from sympy.functions import Piecewise
from sympy.functions.elementary.tri... |
0ce9606f87251142e3301a74706dd9742ad737cbc57712599920dffb5ddb5920 | """For more tests on satisfiability, see test_dimacs"""
from sympy.assumptions.ask import Q
from sympy.core.symbol import symbols
from sympy.logic.boolalg import And, Implies, Equivalent, true, false
from sympy.logic.inference import literal_symbol, \
pl_true, satisfiable, valid, entails, PropKB
from sympy.logic.... |
bc632583eda29767057805ab7f4349ea9ccf5f761ddd940cc45810e2ae482d01 | from sympy.core.numbers import Integer
from sympy.matrices.dense import (eye, zeros)
i3 = Integer(3)
M = eye(100)
def timeit_Matrix__getitem_ii():
M[3, 3]
def timeit_Matrix__getitem_II():
M[i3, i3]
def timeit_Matrix__getslice():
M[:, :]
def timeit_Matrix_zeronm():
zeros(100, 100)
|
1f173ffe31b43e077893a411450996c038ce0d99e885f33054196e821ad7658c | from sympy.core.evalf import N
from sympy.core.numbers import (Float, I, Rational)
from sympy.core.symbol import (Symbol, 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.el... |
86c6efb51c8184bcd3c57eb6018a834e7edb96d19a9d3d4dc1851e7143c45621 | from sympy.core.function import expand_mul
from sympy.core.numbers import (I, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.core.sympify import sympify
from sympy.simplify.simplify import simplify
from sympy.matrices.matrices import (ShapeError, NonSquareMatrixE... |
977227359c65ea16d9c1d7db0a8d825eb2c8f8aeff7f061e4c5a7571f3693dd1 | from sympy.assumptions import Q
from sympy.core.expr import Expr
from sympy.core.add import Add
from sympy.core.function import Function
from sympy.core.kind import NumberKind, UndefinedKind
from sympy.core.numbers import I, Integer, oo, pi, Rational
from sympy.core.singleton import S
from sympy.core.symbol import Symb... |
0001a3e634cb82d0ff23b75ac80b15327a7a94ef4ddee3f66533aab1a1da7803 | from sympy.testing.pytest import ignore_warnings
from sympy.utilities.exceptions import SymPyDeprecationWarning
with ignore_warnings(SymPyDeprecationWarning):
from sympy.matrices.densesolve import LU_solve, rref_solve, cholesky_solve
from sympy.core.symbol import Dummy
from sympy.polys.domains.rationalfield impor... |
1af5cdea405595d8eaa11f1637c23f3e36e52a1466c915af56e2d4819120ba06 | from sympy.core.numbers import (Float, I, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.complexes import Abs
from sympy.polys.polytools import PurePoly
from sympy.matrices import \
Matrix, MutableSparseMatrix, ImmutableSparseMatrix, Spar... |
45899fd9b2d6b64f27bb2209ba146948816496c7d5b4019ada0c7602f022d935 | import random
from sympy.core.numbers import I
from sympy.core.numbers import Rational
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.polys.polytools import Poly
from sympy.matrices import Matrix, eye, ones
from sympy.abc import x, y, z
from sympy.te... |
c5b07efef6c5f48608cef91a3a3b157857c91d19376ee15135dc4a199bee6571 | from sympy.core.numbers import I
from sympy.core.symbol import symbols
from sympy.matrices.common import _MinimalMatrix, _CastableMatrix
from sympy.matrices.matrices import MatrixReductions
from sympy.testing.pytest import raises
from sympy.matrices import Matrix, zeros
from sympy.core.symbol import Symbol
from sympy.c... |
a8c902ced11399287f548382974827a122fd791f6f1a720378cfab7375a80409 | from sympy.core.function import expand_mul
from sympy.core.numbers import (I, Rational)
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.simplify.simplify import simplify
from sympy.matrices.matrices import NonSquareMatrixError
from sympy.matrices import Matrix, ze... |
83a1ebd3b0ba39fe64a64b65f60e57303384e93554cbca398f9350037a0d79d6 | from sympy.testing.pytest import warns_deprecated_sympy
from sympy.core.symbol import Symbol
from sympy.polys.polytools import Poly
from sympy.matrices import Matrix
from sympy.matrices.normalforms import (
invariant_factors,
smith_normal_form,
hermite_normal_form,
)
from sympy.polys.domains import ZZ, QQ
... |
a95d4bd62f11597de2849c7727e334eecfed85f5e6b94035c0845f42751bab20 | from itertools import product
from sympy.core.relational import (Equality, Unequality)
from sympy.core.singleton import S
from sympy.core.sympify import sympify
from sympy.integrals.integrals import integrate
from sympy.matrices.dense import (Matrix, eye, zeros)
from sympy.matrices.immutable import ImmutableMatrix
fro... |
0253ed8a70eba624182d00437535c0378ce8195aff0913748e07f7a555f7f4e1 | from sympy.testing.pytest import ignore_warnings
from sympy.utilities.exceptions import SymPyDeprecationWarning
from sympy.matrices import Matrix, SparseMatrix, ImmutableMatrix
with ignore_warnings(SymPyDeprecationWarning):
from sympy.matrices.densetools import eye
from sympy.matrices.densearith import add, s... |
4e5a8d369b9e03b17d6ba77eae39d7a72a76b5a245048c2270874e2b73db659c | from sympy.testing.pytest import ignore_warnings
from sympy.utilities.exceptions import SymPyDeprecationWarning
with ignore_warnings(SymPyDeprecationWarning):
from sympy.matrices.densetools import trace, transpose, eye
from sympy.polys.domains.integerring import ZZ
def test_trace():
a = [[ZZ(3), ZZ(7), ZZ(4)... |
44a42c0c38b0b846712fbf9b4c947fb9eec32866c265897ba6f8e3804ec4c846 | """
We have a few different kind of Matrices
Matrix, ImmutableMatrix, MatrixExpr
Here we test the extent to which they cooperate
"""
from sympy.core.symbol import symbols
from sympy.matrices import (Matrix, MatrixSymbol, eye, Identity,
ImmutableMatrix)
from sympy.matrices.expressions import MatrixExpr, MatAdd... |
a63411e94684311f76368941fc8199f549a4e853d98ef234be4d457781ff0b92 | from sympy.matrices.sparsetools import _doktocsr, _csrtodok, banded
from sympy.matrices.dense import (Matrix, eye, ones, zeros)
from sympy.matrices import SparseMatrix
from sympy.testing.pytest import raises
def test_doktocsr():
a = SparseMatrix([[1, 2, 0, 0], [0, 3, 9, 0], [0, 1, 4, 0]])
b = SparseMatrix(4, ... |
47f9d132c15e2b4d6fac842a260d27cbd50bfb5ec468a2ac570fc401d273b88d | import random
import concurrent.futures
from collections.abc import Hashable
from sympy.core.add import Add
from sympy.core.function import (Function, diff, expand)
from sympy.core.numbers import (E, Float, I, Integer, Rational, nan, oo, pi)
from sympy.core.power import Pow
from sympy.core.singleton import S
from symp... |
cae860009759b98e93170c0ebba94ab7632802f0366050c3f77153c7c8d875c7 | from sympy.core.expr import ExprBuilder
from sympy.core.function import (Function, FunctionClass, Lambda)
from sympy.core.symbol import Dummy
from sympy.core.sympify import sympify, _sympify
from sympy.matrices.expressions import MatrixExpr
from sympy.matrices.matrices import MatrixBase
class ElementwiseApplyFunction... |
8657c09a60d2dfaab3dcc078457c74dc9529f0616e06a84f99fa6a4bba5f741a | from sympy.core.basic import Basic
from sympy.core.expr import Expr
from sympy.core.singleton import S
from sympy.core.sympify import sympify
from sympy.matrices.common import NonSquareMatrixError
class Determinant(Expr):
"""Matrix Determinant
Represents the determinant of a matrix expression.
Examples
... |
cc5363301b09aa1b087030fc31ee16f3e43e4d5f3d5a9b5f1b70ddf722bfb4f1 | from sympy.matrices.expressions import MatrixExpr
from sympy.assumptions.ask import Q
class Factorization(MatrixExpr):
arg = property(lambda self: self.args[0])
shape = property(lambda self: self.arg.shape) # type: ignore
class LofLU(Factorization):
@property
def predicates(self):
return (Q.l... |
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