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df098a29185f46ec1d4168ad584da62441ebf9350a9fa8b135bff03d6b3cc11c
from sympy.core.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 ) fr...
75ba535dc240ad6451fc7879253bb2d862487e08d5a3acd2db4a3999d544187e
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, warns_deprecated_sympy def test_trace_new(): a, b, c, d, Y = symbols('a b c d Y') A, B, C, D = symbols('A B ...
8faea799733b47f4d2c6bd99d71cb040a0fe6a5d73eb6235e68ccf6b2c0dd67d
from sympy.core.symbol import symbols from sympy.physics.mechanics import Point, Particle, ReferenceFrame, inertia from sympy.testing.pytest import raises, warns_deprecated_sympy 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 = Parti...
81b08eb29db010ce4fd19dc7a6069eba0e22ed0937a4c495b475be5b53b87de6
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, ...
fda43468cd680634c52228c32d1477887173dded0b246e7117258c7e260d425f
from .unit_definitions import ( percent, percents, permille, rad, radian, radians, deg, degree, degrees, sr, steradian, steradians, mil, angular_mil, angular_mils, m, meter, meters, kg, kilogram, kilograms, s, second, seconds, A, ampere, amperes, K, kelvin, kelvins, mol, ...
e6bfd60e7c96157d13f1b4e30c0ea99ebe4fa912afe571939b42ee26b67a7df3
from sympy.physics.units import Dimension angle = Dimension(name="angle") # type: Dimension # base dimensions (MKS) length = Dimension(name="length", symbol="L") mass = Dimension(name="mass", symbol="M") time = Dimension(name="time", symbol="T") # base dimensions (MKSA not in MKS) current = Dimension(name='current...
6ec7048ebdecbe08c1baeef75d743c3dc91ed61e5b0b0844c9f2edc35ed42519
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...
76198c713d7ff60be52fef860057418a193b60fad94a00190f049898dc6eb377
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...
920e20ea72817b241faf8692f6897c12177a60c7a3d70eb455cee3a39ee93ac2
""" 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 ...
564aaa9965e2f4c188715e38352e73b6982b47049d614807a0ed001999aba939
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...
335152b60388acbbb56714a798263b5f8accaad4dcdf66c3bb60b1fccc87d498
from sympy.physics.units import DimensionSystem, joule, second, ampere 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 import length, time from sympy.physics.units.quantities im...
a2c6a654cccab26de9bfc90d488acc653f56c1b5b37175c126a122169dae415d
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 DimensionSystem def test_extend(): ms = DimensionSystem((length...
dd395c7f680791cf78646db99ba8d022d151431fb161915e5493dd75b1b060ef
from sympy.core.numbers import (Float, pi) from sympy.core.symbol import symbols from sympy.core.sorting import ordered from sympy.functions.elementary.trigonometric import (cos, sin) from sympy.matrices.immutable import ImmutableDenseMatrix as Matrix from sympy.physics.vector import ReferenceFrame, Vector, dynamicsymb...
a15f73841efb9bc57bfd76358049de695bffea9e8538ee82d343cb57594e7998
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...
40c5c9c3fea61420b7f75f1bfa973fe1bff380ef07b24eff481bccba96c48b92
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...
57ec038d1723e9893429d2b411593456ff1a4061df637a2438718bc12465fe60
import itertools from collections.abc import Iterable from sympy.core._print_helpers import Printable 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.t...
f7709282faf2a837fa0fad73f2a7d927e8f9e434d58b2058120b2743bd814f4d
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...
62c16b09f511b00fa2bcbd52103dcc097b58bee2a286406e86a23b56db189a4d
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.tensor.array.mutable_ndim_array import MutableNDimArray from sympy.tensor.array.ndim_array import NDimArray, Immutabl...
6c748e6b796dca7e8a1857788c4807772a579f055dbe6500a0628bc575a46bfd
from sympy import sin, cos 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 ...
6831afed4aaf5875ebe409ecb76fd5f0df6c58f2b8b07b4bd61b92e40f265447
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, Symbol, Basic, Add from sympy.co...
24cb6eac50bc9dde97d699b80366c13636fd77d0ccacc9aac672f10c2df4598c
import itertools 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, tr...
287fbd2c0304de575522ee67ed577f5ebdfa74de1fac276217da997415844eed
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...
df69fc64a578ff90de27417b7ccfd7a348b49b1ea6f70dee5942366ba3978736
from sympy.tensor.array.array_comprehension import ArrayComprehension, ArrayComprehensionMap from sympy.tensor.array import ImmutableDenseNDimArray from sympy.abc import i, j, k, l from sympy.testing.pytest import raises, warns from sympy.utilities.exceptions import SymPyDeprecationWarning from sympy.matrices import Ma...
9b8b039fa23e21fc9de4adac99911122464f2cecd6cc98fd71ad8883f86350e1
r""" Array expressions are expressions representing N-dimensional arrays, without evaluating them. These expressions represent in a certain way abstract syntax trees of operations on N-dimensional arrays. Every N-dimensional array operator has a corresponding array expression object. Table of correspondences: ======...
1d3f3d23c6ec7a11dc50d4b0f3389cb1aebd934892a2039b653aaf00106b24d8
from collections import defaultdict from sympy import Function from sympy.combinatorics.permutations import _af_invert 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 ...
efd7008e4aaef77ab40186bbadaa6b0cbaae097b350197a289f1745ef289928f
import collections.abc import operator from itertools import accumulate from sympy import Mul, Sum, Dummy, Add from sympy.tensor.array.expressions import PermuteDims, ArrayAdd, ArrayElementwiseApplyFunc, Reshape from sympy.tensor.array.expressions.array_expressions import ArrayTensorProduct, get_rank, ArrayContraction...
467e7c6e81c7504a01645b629c3a6bb8b585064341c2091543873d9bb3729b5a
import bisect from collections import defaultdict from sympy.combinatorics import Permutation 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):...
12fff0467046a0dc6101602891296ccd2649be6a9c8c1f112c22902f5813803e
import collections.abc 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.core.numbers import Integer from sympy.core.relational import Eq...
a88ea45230f51fd413a6d0115be7dc2aedd695ec5e7e7fa9bfcc2c7469177f95
from sympy import tanh 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.array.expressio...
f59834f44ee137d60346cb37636e070afcc20681c99c00da105bfaaa7703e300
from sympy import Sum, Dummy, sin from sympy.tensor.array.expressions import ArraySymbol, ArrayTensorProduct, ArrayContraction, PermuteDims, \ ArrayDiagonal, ArrayAdd, OneArray, ZeroArray, convert_indexed_to_array, ArrayElementwiseApplyFunc, Reshape from sympy.tensor.array.expressions.conv_array_to_indexed import c...
41401dc50f53bc1a431006682692d25b06ea8e6b9f94f7b7c4144fdf494566bd
import random from sympy import tensordiagonal, eye, KroneckerDelta, Array 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.exp...
139365df3961f2a441970cb3d36e79dcf204837ef58c1e01b169ecd9ec88724f
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...
b1a24fa465cba4b3ae45fc3e7a4cd91b363e472b3436c4b991ed27df78bd8f45
from sympy.multipledispatch.dispatcher import (Dispatcher, MDNotImplementedError, MethodDispatcher, halt_ordering, restart_ordering, ambiguity_register_error_ignore_dup) from sympy.testing.pytest i...
52354f73d17cb2d3779c744b47cf3b0b09d01d7c99133ee09f2d7cb4b7fb3dd5
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...
b6555cb9d41329399d13390efe10cf0c2d4c02228dd49038845043319f031deb
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...
4a77d4fc2137fdd05091b8bf4a43c6aac13c78382cb58ba9971ed70f12892320
from sympy.core.basic import Basic from sympy.functions import adjoint, conjugate from sympy.matrices.expressions.matexpr import MatrixExpr class Transpose(MatrixExpr): """ The transpose of a matrix expression. This is a symbolic object that simply stores its argument without evaluating it. To actua...
24110aa1e34e03172534886111a342a1944dfe6113c4c223bc33c7f909189ca4
from sympy.assumptions.ask import ask, Q from sympy.assumptions.refine import handlers_dict from sympy.core import Basic, sympify, S from sympy.core.mul import mul, Mul from sympy.core.numbers import Number, Integer from sympy.core.symbol import Dummy from sympy.functions import adjoint from sympy.strategies import (rm...
d1d8a62d9a5f72f570d3234a0f63f1d73f1cc4a51e2d083586927a007e71c03d
from sympy.core import S from sympy.core.sympify import _sympify from sympy.functions import KroneckerDelta from .matexpr import MatrixExpr from .special import ZeroMatrix, Identity, OneMatrix class PermutationMatrix(MatrixExpr): """A Permutation Matrix Parameters ========== perm : Permutation ...
09b9183f61e2f4955bed63b91e2084d787f03a7d7a7d3dcb7b91df577d1ca424
from sympy.core import Basic from sympy.functions import adjoint, conjugate from sympy.matrices.expressions.transpose import transpose from sympy.matrices.expressions.matexpr import MatrixExpr class Adjoint(MatrixExpr): """ The Hermitian adjoint of a matrix expression. This is a symbolic object that simp...
0c6afd94ec84e58a11bc200006899ea810ac30e1e931b6b5feb8e50e1aa97ace
from sympy.assumptions.ask import ask, Q from sympy.core.relational import Eq from sympy.core.singleton import S from sympy.core.sympify import _sympify from sympy.functions.special.tensor_functions import KroneckerDelta from sympy.matrices.common import NonInvertibleMatrixError from .matexpr import MatrixExpr class ...
703a39f8b308e663d9d6f4ab960508e209adaa1664444955f945942b80bae44f
from typing import Tuple as tTuple from functools import wraps from sympy.core import S, Integer, Basic, Mul, Add from sympy.core.assumptions import check_assumptions from sympy.core.decorators import call_highest_priority from sympy.core.expr import Expr, ExprBuilder from sympy.core.logic import FuzzyBool from sympy....
685306d8c05efac0e1e911fe23e5cecc747da3e73a0dc5af993f0b276a1ec5d6
"""Implementation of the Kronecker product""" from functools import reduce from sympy.core import Mul, prod, sympify from sympy.functions import adjoint from sympy.matrices.common import ShapeError from sympy.matrices.expressions.matexpr import MatrixExpr from sympy.matrices.expressions.transpose import transpose from...
211f565c40a9a2b049ebf8529dd244e062e33a77b38693c83d83fcc17411288e
from sympy.core.basic import Basic from sympy.core.expr import Expr, ExprBuilder from sympy.core.singleton import S from sympy.core.sorting import default_sort_key from sympy.core.symbol import uniquely_named_symbol from sympy.core.sympify import sympify from sympy.matrices.matrices import MatrixBase from sympy.matrice...
b334aed67855e8466f4d76aa4f5ed848e20c836341d1b351ca2b65a92f8ab3a6
from collections import Counter from sympy.core import Mul, sympify from sympy.core.add import Add from sympy.core.expr import ExprBuilder from sympy.core.sorting import default_sort_key from sympy.functions.elementary.exponential import log from sympy.matrices.common import ShapeError from sympy.matrices.expressions....
c80e94725c58706425d6dddfadb79f9dd869adb9008c83055b6c79b9da93afc6
from sympy.assumptions.ask import (Q, ask) from sympy.core import Basic, Add, Mul, S from sympy.core.sympify import _sympify from sympy.functions.elementary.complexes import re, im from sympy.strategies import typed, exhaust, condition, do_one, unpack from sympy.strategies.traverse import bottom_up from sympy.utilities...
2b118767ee29e2700b4018f67f57251b8de5078a98bba3363f4ce9b9b887fa29
from sympy.core.assumptions import check_assumptions from sympy.core.logic import fuzzy_and from sympy.core.sympify import _sympify from sympy.matrices.common import MatrixKind from sympy.sets.sets import Set, SetKind from sympy.core.kind import NumberKind from .matexpr import MatrixExpr class MatrixSet(Set): """...
076e98a17c1e1238ea7e85e5f47c9255d7792493e44551e26bb457e539a3f82b
from sympy.core import I, symbols, Basic, Mul, S from sympy.core.mul import mul from sympy.functions import adjoint, transpose from sympy.matrices import (Identity, Inverse, Matrix, MatrixSymbol, ZeroMatrix, eye, ImmutableMatrix) from sympy.matrices.expressions import Adjoint, Transpose, det, MatPow from sympy....
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from sympy.core import symbols, Lambda from sympy.functions import KroneckerDelta from sympy.matrices import Matrix from sympy.matrices.expressions import FunctionMatrix, MatrixExpr, Identity from sympy.testing.pytest import raises, warns from sympy.utilities.exceptions import SymPyDeprecationWarning def test_funcmat...
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from sympy.concrete.summations import Sum from sympy.core.exprtools import gcd_terms from sympy.core.function import (diff, expand) from sympy.core.relational import Eq from sympy.core.symbol import (Dummy, Symbol, Str) from sympy.functions.special.tensor_functions import KroneckerDelta from sympy.matrices.dense import...
7d196bc3d09f74edf3dd22384d06f57c251bff35409dd6edc8e12b11e093090d
from sympy.core import Lambda, S, symbols from sympy.concrete import Sum from sympy.functions import adjoint, conjugate, transpose from sympy.matrices import eye, Matrix, ShapeError, ImmutableMatrix from sympy.matrices.expressions import ( Adjoint, Identity, FunctionMatrix, MatrixExpr, MatrixSymbol, Trace, Zero...
c7ad0d4571a3c52fc0137ee318500ebd974a9565b99b85f40b73b322e91fb403
from sympy.core.singleton import S from sympy.core.symbol import symbols from sympy.matrices import Matrix from sympy.matrices.expressions.matexpr import MatrixSymbol from sympy.matrices.expressions.sets import MatrixSet from sympy.matrices.expressions.special import ZeroMatrix from sympy.testing.pytest import raises f...
c20bfc871f4e294e86066e0ca51c897a83b367dfec6a53723ea76e961bfcae0b
from sympy.core.function import Lambda, expand_complex from sympy.core.mul import Mul from sympy.core.numbers import ilcm from sympy.core.relational import Eq from sympy.core.singleton import S from sympy.core.symbol import (Dummy, symbols) from sympy.core.sorting import ordered from sympy.functions.elementary.complexe...
96b01dc9da84c6700b523334767a0cfbb24066ab5b80b6f8e98d861a616d41dc
from sympy.core.singleton import S from sympy.core.sympify import sympify from sympy.functions.elementary.miscellaneous import Min, Max from sympy.sets.sets import (EmptySet, FiniteSet, Intersection, Interval, ProductSet, Set, Union, UniversalSet) from sympy.sets.fancysets import (ComplexRegion, Naturals, Naturals0...
e0575b5f1a1b636f3aaf952dac26dc40fa9a148c9cb1d95bb4d3b6bc99b3b042
from sympy.core.expr import unchanged from sympy.sets import (ConditionSet, Intersection, FiniteSet, EmptySet, Union, Contains, ImageSet) from sympy.sets.sets import SetKind from sympy.core.function import (Function, Lambda) from sympy.core.mod import Mod from sympy.core.kind import NumberKind from sympy.core.numbe...
2471e8cff0472ff85cdc3d371c656ae0ff9b938461b4a9d91209802363864c6f
from sympy.core.expr import unchanged from sympy.sets.contains import Contains from sympy.sets.fancysets import (ImageSet, Range, normalize_theta_set, ComplexRegion) from sympy.sets.sets import (FiniteSet, Interval, Union, imageset, Intersection, ProductSe...
3ccb1587d285e05503f3ef4d5ddfc701aafe13770792a68ff957d7773d94428c
from sympy.concrete.summations import Sum from sympy.core.add import Add from sympy.core.containers import TupleKind from sympy.core.function import Lambda from sympy.core.kind import NumberKind, UndefinedKind from sympy.core.numbers import (Float, I, Rational, nan, oo, pi, zoo) from sympy.core.power import Pow from sy...
8175ccbd5088969dc778dd76123eb7e919e1344995de2e569c3038f2b8d13ce8
from sympy.core.numbers import (I, pi) from sympy.core.relational import Eq from sympy.core.symbol import (Symbol, symbols) from sympy.functions.elementary.complexes import re from sympy.functions.elementary.exponential import exp from sympy.functions.elementary.trigonometric import (cos, sin, tan) from sympy.logic.boo...
fd7125f474632897ce90bfa0016eeb0e043c7e74b4a2a9068dfb89519cf43f28
import os from tempfile import TemporaryDirectory from sympy.concrete.summations import Sum from sympy.core.numbers import (I, oo, pi) from sympy.core.relational import Ne from sympy.core.symbol import Symbol from sympy.functions.elementary.exponential import (LambertW, exp, exp_polar, log) from sympy.functions.elemen...
468ececcfe804aab6bc1d68eba66067323ad801ce9175565e38509fde402c8ec
#!/usr/bin/env python # -*- coding: utf-8 -*- """ A tool to generate AUTHORS. We started tracking authors before moving to git, so we have to do some manual rearrangement of the git history authors in order to get the order in AUTHORS. bin/mailmap_check.py should be run before committing the results. See here for inst...
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#!/usr/bin/env python3 import json import subprocess import sys from os.path import join, splitext, basename from contextlib import contextmanager from tempfile import TemporaryDirectory from zipfile import ZipFile from shutil import copytree def main(sympy_doc_git, doc_html_zip, version, dev_version, push=None): ...
b4ad7289002f434d2ca2e56c2e653f65bb9037e2d89fd7284a5f2bdbe54e68f6
""" SymPy is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python. It depends on mpmath, and other external libraries may be option...
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# # SymPy documentation build configuration file, created by # sphinx-quickstart.py on Sat Mar 22 19:34:32 2008. # # This file is execfile()d with the current directory set to its containing dir. # # The contents of this file are pickled, so don't put values in the namespace # that aren't pickleable (module imports are...
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""" Pygments styles used for syntax highlighting. These are based on the Sphinx style (see https://github.com/sphinx-doc/sphinx/blob/master/sphinx/pygments_styles.py) for light mode and the Friendly style for dark mode. The styles here have been adjusted so that they are WCAG AA compatible. The tool at https://github...
a094d070524a70a1c455df4e6fc5c815f4f65279f9d48ac8334111e2e5bad519
from __future__ import annotations from sympy.core.function import Function from sympy.core.numbers import igcd, igcdex, mod_inverse from sympy.core.power import isqrt from sympy.core.singleton import S from sympy.polys import Poly from sympy.polys.domains import ZZ from sympy.polys.galoistools import gf_crt1, gf_crt2...
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from __future__ import annotations from sympy.core.exprtools import factor_terms from sympy.core.numbers import Integer, Rational from sympy.core.singleton import S from sympy.core.symbol import Dummy from sympy.core.sympify import _sympify from sympy.utilities.misc import as_int def continued_fraction(a) -> list: ...
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from sympy.core import Integer, Pow, Mod from sympy import factorint def is_nilpotent_number(n): """ Check whether `n` is a nilpotent number. A number `n` is said to be nilpotent if and only if every finite group of order `n` is nilpotent. For more information see [1]_. Examples ======== ...
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from sympy.core import S, sympify, Expr, Dummy, Add, Mul from sympy.core.cache import cacheit from sympy.core.containers import Tuple from sympy.core.function import Function, PoleError, expand_power_base, expand_log from sympy.core.sorting import default_sort_key from sympy.functions.elementary.exponential import exp,...
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from sympy.core.add import Add from sympy.core.exprtools import factor_terms from sympy.core.function import expand_log, _mexpand from sympy.core.power import Pow from sympy.core.singleton import S from sympy.core.sorting import ordered from sympy.core.symbol import Dummy from sympy.functions.elementary.exponential imp...
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""" This module contains functions to: - solve a single equation for a single variable, in any domain either real or complex. - solve a single transcendental equation for a single variable in any domain either real or complex. (currently supports solving in real domain only) - solve a system of lin...
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"""Solvers of systems of polynomial equations. """ from sympy.core import S from sympy.core.sorting import default_sort_key from sympy.polys import Poly, groebner, roots from sympy.polys.polytools import parallel_poly_from_expr from sympy.polys.polyerrors import (ComputationFailed, PolificationFailed, CoercionFail...
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""" This module contain solvers for all kinds of equations: - algebraic or transcendental, use solve() - recurrence, use rsolve() - differential, use dsolve() - nonlinear (numerically), use nsolve() (you will need a good starting point) """ from sympy.core import (S, Add, Symbol, Dummy, Expr...
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""" This module provides convenient functions to transform SymPy expressions to lambda functions which can be used to calculate numerical values very fast. """ from typing import Any, Dict as tDict import builtins import inspect import keyword import textwrap import linecache # Required despite static analysis claim...
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""" A Printer which converts an expression into its LaTeX equivalent. """ from typing import Any, Dict as tDict import itertools from sympy.core import Add, Float, Mod, Mul, Number, S, Symbol from sympy.core.alphabets import greeks from sympy.core.containers import Tuple from sympy.core.function import AppliedUndef,...
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""" C code printer The C89CodePrinter & C99CodePrinter converts single SymPy expressions into single C expressions, using the functions defined in math.h where possible. A complete code generator, which uses ccode extensively, can be found in sympy.utilities.codegen. The codegen module can be used to generate complet...
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"""Integration method that emulates by-hand techniques. This module also provides functionality to get the steps used to evaluate a particular integral, in the ``integral_steps`` function. This will return nested namedtuples representing the integration rules used. The ``manualintegrate`` function computes the integra...
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""" Integral Transforms """ from functools import reduce, wraps from itertools import repeat from sympy.core import S, pi, I from sympy.core.add import Add from sympy.core.function import (AppliedUndef, count_ops, Derivative, expand, expand_complex, expand_mul, Function, Lambda, ...
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""" Module to implement integration of uni/bivariate polynomials over 2D Polytopes and uni/bi/trivariate polynomials over 3D Polytopes. Uses evaluation techniques as described in Chin et al. (2015) [1]. References =========== .. [1] Chin, Eric B., Jean B. Lasserre, and N. Sukumar. "Numerical integration of homogene...
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from typing import Tuple as tTuple from sympy.concrete.expr_with_limits import AddWithLimits from sympy.core.add import Add from sympy.core.basic import Basic from sympy.core.containers import Tuple from sympy.core.expr import Expr from sympy.core.exprtools import factor_terms from sympy.core.function import diff from...
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"""Base class for all the objects in SymPy""" from __future__ import annotations from collections import defaultdict from collections.abc import Mapping from itertools import chain, zip_longest from .assumptions import ManagedProperties from .cache import cacheit from .core import BasicMeta from .sympify import _symp...
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from typing import Callable, Tuple as tTuple from math import log as _log, sqrt as _sqrt from itertools import product from .sympify import _sympify from .cache import cacheit from .singleton import S from .expr import Expr from .evalf import PrecisionExhausted from .function import (expand_complex, expand_multinomial...
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""" This module contains the machinery handling assumptions. Do also consider the guide :ref:`assumptions`. All symbolic objects have assumption attributes that can be accessed via ``.is_<assumption name>`` attribute. Assumptions determine certain properties of symbolic objects and can have 3 possible values: ``True`...
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from typing import Tuple as tTuple from collections import defaultdict from functools import cmp_to_key, reduce from operator import attrgetter from .basic import Basic from .parameters import global_parameters from .logic import _fuzzy_group, fuzzy_or, fuzzy_not from .singleton import S from .operations import AssocOp...
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from typing import Tuple as tTuple, TYPE_CHECKING from collections.abc import Iterable from functools import reduce from .sympify import sympify, _sympify from .basic import Basic, Atom from .singleton import S from .evalf import EvalfMixin, pure_complex, DEFAULT_MAXPREC from .decorators import call_highest_priority, ...
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from __future__ import annotations import numbers import decimal import fractions import math import re as regex import sys from functools import lru_cache from .containers import Tuple from .sympify import (SympifyError, _sympy_converter, sympify, _convert_numpy_types, _sympify, _is_numpy_instance) fro...
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from __future__ import annotations from .assumptions import StdFactKB, _assume_defined from .basic import Basic, Atom from .cache import cacheit from .containers import Tuple from .expr import Expr, AtomicExpr from .function import AppliedUndef, FunctionClass from .kind import NumberKind, UndefinedKind from .logic imp...
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from typing import Tuple as tTuple from collections import defaultdict from functools import cmp_to_key, reduce from itertools import product import operator from .sympify import sympify from .basic import Basic from .singleton import S from .operations import AssocOp, AssocOpDispatcher from .cache import cacheit from...
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"""Algorithms for computing symbolic roots of polynomials. """ import math from functools import reduce from sympy.core import S, I, pi from sympy.core.exprtools import factor_terms from sympy.core.function import _mexpand from sympy.core.logic import fuzzy_not from sympy.core.mul import expand_2arg, Mul from sympy....
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"""Definitions of common exceptions for `polys` module. """ from sympy.utilities import public @public class BasePolynomialError(Exception): """Base class for polynomial related exceptions. """ def new(self, *args): raise NotImplementedError("abstract base class") @public class ExactQuotientFailed(...
5552271f80e6a2f904d556d2991e88aa2477f4862443656efaaaec94c703e10f
from sympy.core.numbers import Rational from sympy.core.singleton import S from sympy.core.symbol import symbols from sympy.functions.elementary.complexes import sign from sympy.functions.elementary.miscellaneous import sqrt from sympy.polys.polytools import gcd from sympy.sets.sets import Complement from sympy.core im...
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"""Elliptical geometrical entities. Contains * Ellipse * Circle """ from sympy.core.expr import Expr from sympy.core.relational import Eq from sympy.core import S, pi, sympify from sympy.core.evalf import N from sympy.core.parameters import global_parameters from sympy.core.logic import fuzzy_bool from sympy.core.nu...
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import re import typing from itertools import product from typing import Any, Dict as tDict, Tuple as tTuple, List, Optional, Union as tUnion, Callable import sympy from sympy import Mul, Add, Pow, log, exp, sqrt, cos, sin, tan, asin, acos, acot, asec, acsc, sinh, cosh, tanh, asinh, \ acosh, atanh, acoth, asech, a...
cbefd6d5d086bc376a2b94fb924513a88e027cb50cf2bc8bf1c8984a25bccc46
import copy from sympy.core import S from sympy.core.function import expand_mul from sympy.functions.elementary.miscellaneous import Min, sqrt from sympy.functions.elementary.complexes import sign from .common import NonSquareMatrixError, NonPositiveDefiniteMatrixError from .utilities import _get_intermediate_simp, _...
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from types import FunctionType from .utilities import _get_intermediate_simp, _iszero, _dotprodsimp, _simplify from .determinant import _find_reasonable_pivot def _row_reduce_list(mat, rows, cols, one, iszerofunc, simpfunc, normalize_last=True, normalize=True, zero_above=True): """Row reduce a fl...
b77fb2696999bdf910a63503a8ece0c274c53b48deec190453640aa40fa9b6d5
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, ...
9d1c4ae11f0276ae0d8bd7bfea7e1f4638abdd504e9973330085e79513500f76
from sympy.combinatorics.group_numbers import (is_nilpotent_number, is_abelian_number, is_cyclic_number) from sympy.testing.pytest import raises from sympy import randprime def test_is_nilpotent_number(): assert is_nilpotent_number(21) == False assert is_nilpotent_number(randprime(1, 30)**12) == True ...
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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...
e96c663e67df8c3d18c5efc0b61e4f62d6687912edfd3bd8d962e377760f9205
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...
e1cf17fc1b6d0a8f44f2266293dc8567ff560d81a295ed51bb350c2976bc4e61
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...
edb58888b265d6f3aa7a6b9809e3a9d7fcd502ab8eea5588b64778ec27aff05f
from sympy.calculus.accumulationbounds import AccumBounds from sympy.core.numbers import (E, Float, I, Rational, nan, oo, pi, zoo) from sympy.core.relational import (Eq, Ge, Gt, Le, Lt, Ne) from sympy.core.singleton import S from sympy.core.symbol import (Symbol, symbols) from sympy.functions.combinatorial.factorials i...
6de861f3ef8a83eb1bd70847a28fd9030407c5263ea6dfbb48f5aeac332684f4
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,...