hash stringlengths 64 64 | content stringlengths 0 1.51M |
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7daf79cb315174437ca84aad9b0a1e0e48fc25ea7aa765ba567f0d3cbb5b5863 | # -*- coding: utf-8 -*-
import sys
from sympy.assumptions import Q
from sympy.core import Symbol, Function, Float, Rational, Integer, I, Mul, Pow, Eq
from sympy.functions import exp, factorial, factorial2, sin
from sympy.logic import And
from sympy.series import Limit
from sympy.testing.pytest import raises, skip
f... |
75a7f3e347ba2a9910e3a72b9e83b29b19a7359a2d4cc409da10cfa4cda79018 | from sympy.testing.pytest import raises, XFAIL
from sympy.external import import_module
from sympy.concrete.products import Product
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 impo... |
c8861d7e76875fd67ddfe0a67fac7d0bb7b2b10fb2dff954fba08645737858bf | from sympy.parsing.sym_expr import SymPyExpression
from sympy.testing.pytest import raises, XFAIL
from sympy.external import import_module
cin = import_module('clang.cindex', import_kwargs = {'fromlist': ['cindex']})
if cin:
from sympy.codegen.ast import (Variable, String, Return,
FunctionDefinition, Inte... |
460c466974e29d6371fe04bf424ab857178496f00111234fcc24ecfb12d77182 | from sympy.parsing.mathematica import mathematica
from sympy.core.sympify import sympify
def test_mathematica():
d = {
'- 6x': '-6*x',
'Sin[x]^2': 'sin(x)**2',
'2(x-1)': '2*(x-1)',
'3y+8': '3*y+8',
'ArcSin[2x+9(4-x)^2]/x': 'asin(2*x+9*(4-x)**2)/x',
'x+y': 'x+y',
... |
b50b9415af18a9576c1cf39c52103094c281f14934f077a30e10c275af255ecd | import os
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.external import import_module
from sympy.testing.pytest import skip
from sympy.parsing.autolev import parse_autolev
antlr4 = import_module("antlr4")
if not antlr4:
disabled = True
FILE_DIR = os.path.dirname(
os.path.dirname... |
049258e9ea2283d65fcd9ed3ce6085dd4e98f18e876dc7ca02cd42ae69386bc7 | from sympy.parsing.maxima import parse_maxima
from sympy.core.numbers import (E, Rational, oo)
from sympy.core.symbol import Symbol
from sympy.functions.combinatorial.factorials import factorial
from sympy.functions.elementary.complexes import Abs
from sympy.functions.elementary.exponential import log
from sympy.functi... |
b29e61cefe6c8955b7c549a1929d12d22680d02cfe3d50741ced730b4e29c58b | from sympy.external import import_module
from sympy.utilities.decorator import doctest_depends_on
@doctest_depends_on(modules=('antlr4',))
def parse_autolev(autolev_code, include_numeric=False):
"""Parses Autolev code (version 4.1) to SymPy code.
Parameters
=========
autolev_code : Can be an str or an... |
85160bb45bd805a41a3c286deecc6d007948ef3f75f18a0f9f811d323da6145e | from sympy.external import import_module
autolevparser = import_module('sympy.parsing.autolev._antlr.autolevparser',
import_kwargs={'fromlist': ['AutolevParser']})
autolevlexer = import_module('sympy.parsing.autolev._antlr.autolevlexer',
import_kwargs={'froml... |
69be95e83d2e95bbce4071bf2a93f63b049a4cdeaf8ab6b19a95335830a3b67b | # Ported from latex2sympy by @augustt198
# https://github.com/augustt198/latex2sympy
# See license in LICENSE.txt
import sympy
from sympy.external import import_module
from sympy.printing.str import StrPrinter
from sympy.physics.quantum.state import Bra, Ket
from .errors import LaTeXParsingError
LaTeXParser = LaTeX... |
30c4c6166ea43977ac678ec420ff25a69b029ee25b58c893e7b58b56e3fca284 | from typing import Type
from sympy.core.add import Add
from sympy.core.basic import Basic
from sympy.core.expr import Expr
from sympy.core.function import expand
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.symbol import Symbol
from sympy.polys.polyroots import roots
from sympy.polys... |
0ab3d849e745e3c16bc311ea80897a4943945c136635a322458d8b1da03f8940 | from sympy.core.numbers import I
from sympy.functions.elementary.exponential import (exp, log)
from sympy.polys.partfrac import apart
from sympy.core.symbol import Dummy
from sympy.external import import_module
from sympy.functions import arg, Abs
from sympy.integrals.transforms import _fast_inverse_laplace
from sympy.... |
4ba7cf9246267d7f042c139cf44493fbc5e743582da523817ddd8ac0b18a758a | """A cache for storing small matrices in multiple formats."""
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.power import Pow
from sympy.functions.elementary.exponential import exp
from sympy.matrices.dense import Matrix
from sympy.physics.quantum.matrixutils import (
to_sympy, to_numpy, to_scip... |
37acee57667106f33fe8b51a52103a4a3454bd9e4b791ca692dba024f0bc5ece | """Shor's algorithm and helper functions.
Todo:
* Get the CMod gate working again using the new Gate API.
* Fix everything.
* Update docstrings and reformat.
"""
import math
import random
from sympy.core.mul import Mul
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import log
from sy... |
232eb2778d6510db82794e632d763b3b713f49cdd200708ddd7e5b134b108a25 | """An implementation of qubits and gates acting on them.
Todo:
* Update docstrings.
* Update tests.
* Implement apply using decompose.
* Implement represent using decompose or something smarter. For this to
work we first have to implement represent for SWAP.
* Decide if we want upper index to be inclusive in the co... |
28e7875dbe7686f47521b78dc25354df428f883f71bfb4b56b6768c2442a04b3 | """Hermitian conjugation."""
from sympy.core import Expr, Mul
from sympy.functions.elementary.complexes import adjoint
__all__ = [
'Dagger'
]
class Dagger(adjoint):
"""General Hermitian conjugate operation.
Explanation
===========
Take the Hermetian conjugate of an argument [1]_. For matrices ... |
93ca390f0af67a2dd1ce16fa679bb8a509cca27fe785f6a4e9f6db3eb466badb | from collections import deque
from random import randint
from sympy.external import import_module
from sympy.core.basic import Basic
from sympy.core.mul import Mul
from sympy.core.numbers import Number
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.physics.quantum.represent import repre... |
c3d6a3e5e70f151992096563998697c03e1ba50c5437ec32777413dca538bd9a | """Abstract tensor product."""
from sympy.core.add import Add
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.sympify import sympify
from sympy.matrices.dense import MutableDenseMatrix as Matrix
from sympy.printing.pretty.stringpict import prettyForm
fr... |
4c7d263c5dc393d98be5f6b685eb9a9a90e9c16171c61dc709c838836b8d43f1 | """The anti-commutator: ``{A,B} = A*B + B*A``."""
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.singleton import S
from sympy.printing.pretty.stringpict import prettyForm
from sympy.physics.quantum.operator import Operator
from sympy.physics.qua... |
e7378deb6b7fbf669beddb75c7bd56fe570183a704359e94d96943b70d5534aa | """Dirac notation for states."""
from sympy.core.cache import cacheit
from sympy.core.containers import Tuple
from sympy.core.expr import Expr
from sympy.core.function import Function
from sympy.core.numbers import oo
from sympy.core.singleton import S
from sympy.functions.elementary.complexes import conjugate
from sy... |
b268d3a00d258fa85edb677d47ad442f6152357173f684c817cc7950e77844db | """Functions for reordering operator expressions."""
import warnings
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.physics.quantum import Operator, Commutator, AntiCommutator
from sympy.physics.quantum.boson import Boso... |
82a3fe0ee5b6f9073d063f6f0ba57d87703093603f976c68f3b1a251ea0e559a | """Operators and states for 1D cartesian position and momentum.
TODO:
* Add 3D classes to mappings in operatorset.py
"""
from sympy.core.numbers import (I, pi)
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sym... |
7fc3be3d3c09d25ce28b17c07bc786b9a8cf31b9c085c77523b27fe70b9a9219 | """Utilities to deal with sympy.Matrix, numpy and scipy.sparse."""
from sympy.core.expr import Expr
from sympy.core.numbers import I
from sympy.core.singleton import S
from sympy.matrices.matrices import MatrixBase
from sympy.matrices import eye, zeros
from sympy.external import import_module
__all__ = [
'numpy_n... |
661911ef84e10301e1da1a94e2e9500d00d751be2a185c6dc61dff71ebc72861 | """An implementation of gates that act on qubits.
Gates are unitary operators that act on the space of qubits.
Medium Term Todo:
* Optimize Gate._apply_operators_Qubit to remove the creation of many
intermediate Qubit objects.
* Add commutation relationships to all operators and use this in gate_sort.
* Fix gate_s... |
7aa8061cde62475f4bbb0088fdfc4b88c87d25964bb84d4274871465c24151c9 | """Logic for representing operators in state in various bases.
TODO:
* Get represent working with continuous hilbert spaces.
* Document default basis functionality.
"""
from sympy.core.add import Add
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.numbers import I
from sympy.core.powe... |
eddb2bd565094db74156747fb6e84416fd9f65d3fcf47728665b2af61db033a6 | """Quantum mechanical operators.
TODO:
* Fix early 0 in apply_operators.
* Debug and test apply_operators.
* Get cse working with classes in this file.
* Doctests and documentation of special methods for InnerProduct, Commutator,
AntiCommutator, represent, apply_operators.
"""
from sympy.core.add import Add
from s... |
96b3b93dba2c95f7ec851c44429f4bc2dcd60bbbd8d3d3466302192acdba0239 | """Qubits for quantum computing.
Todo:
* Finish implementing measurement logic. This should include POVM.
* Update docstrings.
* Update tests.
"""
import math
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.singlet... |
2b8b66c9660c960ce44d35e3b3cd8fcc40bc554e239b627a42273862600ced24 | """Symbolic inner product."""
from sympy.core.expr import Expr
from sympy.functions.elementary.complexes import conjugate
from sympy.printing.pretty.stringpict import prettyForm
from sympy.physics.quantum.dagger import Dagger
from sympy.physics.quantum.state import KetBase, BraBase
__all__ = [
'InnerProduct'
]
... |
011d95a39b96fe2e18bf837e617a5ee1e6795a06bd54c947b18ea43ac0065e87 | from sympy.core.expr import Expr
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.matrices.dense import Matrix
from sympy.printing.pretty.stringpict import prettyForm
from sympy.core.containers import Tuple
from sympy.utilities.iterables import is_sequence
from sympy.physics.quant... |
d1e3d3d99a5f4a6ace665a00556dd658a56ad092f84a1e383b9749534fd58f0f | """Grover's algorithm and helper functions.
Todo:
* W gate construction (or perhaps -W gate based on Mermin's book)
* Generalize the algorithm for an unknown function that returns 1 on multiple
qubit states, not just one.
* Implement _represent_ZGate in OracleGate
"""
from sympy.core.numbers import pi
from sympy.c... |
bc21fc73816ee6572b4f43ecb81a842bb7969f21ed091c15c78c128777f4ecc1 | from itertools import product
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.function import expand
from sympy.core.mul import Mul
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import log
from sympy.matrices.dense import MutableDenseMatrix as Mat... |
4be55bdd50231795e378cd291d0d2a2edaff9f37f6ade2061e2d3b553a85d779 | """
qasm.py - Functions to parse a set of qasm commands into a SymPy Circuit.
Examples taken from Chuang's page: http://www.media.mit.edu/quanta/qasm2circ/
The code returns a circuit and an associated list of labels.
>>> from sympy.physics.quantum.qasm import Qasm
>>> q = Qasm('qubit q0', 'qubit q1', 'h q0', 'cnot ... |
6636f67111a78950d5e9edf98233f8b84a48e30d02ed81902045d179aabfcfe1 | """1D quantum particle in a box."""
from sympy.core.numbers import pi
from sympy.core.singleton import S
from sympy.core.symbol import Symbol
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import sin
from sympy.sets.sets import Interval
from sympy.physics.quant... |
ec888d9c5631c62f447c494216d30b11071c6fa9c1fa321eab8c7722522accab | """The commutator: [A,B] = A*B - B*A."""
from sympy.core.add import Add
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.printing.pretty.stringpict import prettyForm
from sympy.physics.quantum.dagger import Dagger
from sympy... |
42eb9cbe60040e6287855094151a8f15b7992b18975a13bc2d05003f224ff2dc | """Quantum mechanical angular momemtum."""
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Integer, Rational, pi)
from sympy.core.singleton import S
from s... |
8d161a7dc48736544aec3d6197eba9443e12648602985a503aa7c450d590e895 | """Matplotlib based plotting of quantum circuits.
Todo:
* Optimize printing of large circuits.
* Get this to work with single gates.
* Do a better job checking the form of circuits to make sure it is a Mul of
Gates.
* Get multi-target gates plotting.
* Get initial and final states to plot.
* Get measurements to plo... |
1f06787e5b57a287b6e38f8657fe533fd599cbbeb0c8fd3cf84c4cf8d7eea4ef | from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.sorting import default_sort_key
from sympy.core.sympify import sympify
from sympy.matrices import Matrix
def _is_scalar(e):
""" He... |
c5fa6a4ba7b5ec863a66f4abd9e570559db7cdaba43c8c521aa87bf95a8b8ce4 | #TODO:
# -Implement Clebsch-Gordan symmetries
# -Improve simplification method
# -Implement new simpifications
"""Clebsch-Gordon Coefficients."""
from sympy.concrete.summations import Sum
from sympy.core.add import Add
from sympy.core.expr import Expr
from sympy.core.function import expand
from sympy.core.mul import M... |
b2f733359f3ad4147d2a2320dd0bbcc8edcb8023e451d36c667b296875639fbf | """Fermionic quantum operators."""
from sympy.core.numbers import Integer
from sympy.core.singleton import S
from sympy.physics.quantum import Operator
from sympy.physics.quantum import HilbertSpace, Ket, Bra
from sympy.functions.special.tensor_functions import KroneckerDelta
__all__ = [
'FermionOp',
'Fermio... |
5c0f58c42373be3d06d2fdb0f2933105194aac10afa41e75fff7fab1292fc6c2 | """Primitive circuit operations on quantum circuits."""
from functools import reduce
from sympy.core.sorting import default_sort_key
from sympy.core.containers import Tuple
from sympy.core.mul import Mul
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.utilities import numbered_s... |
b95af75491eb2b396d7180bbc24b8cc6ba7e50346569128af36aa576f8c16d93 | """Hilbert spaces for quantum mechanics.
Authors:
* Brian Granger
* Matt Curry
"""
from functools import reduce
from sympy.core.basic import Basic
from sympy.core.numbers import oo
from sympy.core.sympify import sympify
from sympy.sets.sets import Interval
from sympy.printing.pretty.stringpict import prettyForm
from... |
79586cf5c897a2e3836ff9c992c195861170cbdb5fc18858a29e5dd3897930da | """Bosonic quantum operators."""
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.singleton import S
from sympy.functions.elementary.complexes import conjugate
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from symp... |
10b0a5d536f12e7367c41cc282f4c40840d8e0e107925f5b4f1a0ea488bf1ae5 | """Pauli operators and states"""
from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.numbers import I
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.functions.elementary.exponential import exp
from sympy.physics.quantum import Operator, Ket, Bra
from sympy.phys... |
5862ba0be3350d219db30ae11990c8c2afa2f15ef9e9c90da0e1ddd66cc9624e | """Simple Harmonic Oscillator 1-Dimension"""
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.constants import hbar
from sympy.physics.quantum.operator import Operator... |
e66ef33c1870ee00e39e3f3ad24b42dedeb96bdc2c85114efc7f1780bcac590a | """Logic for applying operators to states.
Todo:
* Sometimes the final result needs to be expanded, we should do this by hand.
"""
from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.sympify import sympify
from sympy.physic... |
527e9ea78eedca07f555da7ef06d964bab93f850aa381470ac351da2715dfef0 | from sympy.core.backend import eye, Matrix, zeros
from sympy.physics.mechanics import dynamicsymbols
from sympy.physics.mechanics.functions import find_dynamicsymbols
__all__ = ['SymbolicSystem']
class SymbolicSystem:
"""SymbolicSystem is a class that contains all the information about a
system in a symbolic... |
c0925fd56913419e5bdb84b3260bbb396c816da7dbe22e33a897c2e9d846c324 | from sympy.core.backend import zeros, Matrix, diff, eye
from sympy.core.sorting import default_sort_key
from sympy.solvers.solvers import solve_linear_system_LU
from sympy.physics.vector import (ReferenceFrame, dynamicsymbols,
partial_velocity)
from sympy.physics.mechanics.method impor... |
9ceafc644b9ef74c5e3bc32974230b225b6f50494dc49bc14503290c1ef0eb45 | from sympy.utilities import dict_merge
from sympy.utilities.iterables import iterable
from sympy.physics.vector import (Dyadic, Vector, ReferenceFrame,
Point, dynamicsymbols)
from sympy.physics.vector.printing import (vprint, vsprint, vpprint, vlatex,
... |
c6cf30ea9625cb8bbda4d95be0430bdd87bd05aa762d0968fa2bdf4546d68220 | # coding=utf-8
from abc import ABC, abstractmethod
from sympy.core.numbers import pi
from sympy.physics.mechanics.body import Body
from sympy.physics.vector import Vector, dynamicsymbols, cross
from sympy.physics.vector.frame import ReferenceFrame
import warnings
__all__ = ['Joint', 'PinJoint', 'PrismaticJoint']
... |
cae60972d5efc4a73731b9f7d66d1f7433f005daf14ab61c05fb0e05d239bbef | __all__ = ['Linearizer']
from sympy.core.backend import Matrix, eye, zeros
from sympy.core.symbol import Dummy
from sympy.utilities.iterables import flatten
from sympy.physics.vector import dynamicsymbols
from sympy.physics.mechanics.functions import msubs
from collections import namedtuple
from collections.abc impor... |
458ac31d161caad5a1a4fb1987967f326b203355fffe3892bfef0fa2ee94ecac | from sympy.core.backend import diff, zeros, Matrix, eye, sympify
from sympy.core.sorting import default_sort_key
from sympy.physics.vector import dynamicsymbols, ReferenceFrame
from sympy.physics.mechanics.method import _Methods
from sympy.physics.mechanics.functions import (find_dynamicsymbols, msubs,
... |
230b0a6986512880df95338a084e9f8df27abadf8cccf7e3b5c191710a8a027e | # isort:skip_file
"""
Dimensional analysis and unit systems.
This module defines dimension/unit systems and physical quantities. It is
based on a group-theoretical construction where dimensions are represented as
vectors (coefficients being the exponents), and units are defined as a dimension
to which we added a scale... |
9dd4800a5d6255d8af5d4bfec5166467bf3099fedf1be2fd4188892410343cc4 | """
Unit system for physical quantities; include definition of constants.
"""
from typing import Dict as tDict
from sympy.core.add import Add
from sympy.core.function import (Derivative, Function)
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.physics.uni... |
846310907a07cdcf50d7f22a176b7b7d850952b85c03b8b9a8a7d1152009db2c | """
Definition of physical dimensions.
Unit systems will be constructed on top of these dimensions.
Most of the examples in the doc use MKS system and are presented from the
computer point of view: from a human point, adding length to time is not legal
in MKS but it is in natural system; for a computer in natural sys... |
9b77514c8984bc46c5fac99e0ec47cea479e7887c2acb56ee7809f738336fee8 | """
Module defining unit prefixe class and some constants.
Constant dict for SI and binary prefixes are defined as PREFIXES and
BIN_PREFIXES.
"""
from sympy.core.expr import Expr
from sympy.core.sympify import sympify
class Prefix(Expr):
"""
This class represent prefixes, with their name, symbol and factor.
... |
0d978e0cc246d686efaca1a5eea85b772c24510bca3fe23364f953c1996790fd | """
Several methods to simplify expressions involving unit objects.
"""
from functools import reduce
from collections.abc import Iterable
from sympy.core.add import Add
from sympy.core.containers import Tuple
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.core.sorting import ordered
from sy... |
bcc09e3e0e093fbe42485056a127846852df06f041efe9e4b54be1deec1a42fb | """
Physical quantities.
"""
from sympy.core.expr import AtomicExpr
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.physics.units.dimensions import _QuantityMapper
from sympy.physics.units.prefixes import Prefix
from sympy.utilities.exceptions import SymPyDeprecationWarning
cla... |
38fa1599c8c170bef61cfd37984caadd5a2295c7a0b4fd4fe51006e93b77665a | """
Module to handle gamma matrices expressed as tensor objects.
Examples
========
>>> from sympy.physics.hep.gamma_matrices import GammaMatrix as G, LorentzIndex
>>> from sympy.tensor.tensor import tensor_indices
>>> i = tensor_indices('i', LorentzIndex)
>>> G(i)
GammaMatrix(i)
N... |
004a4c1bcd17b2bce0c6c5741f8d4d650d0daccebb34e6e646eca911edcc5741 | from sympy.core.function import Derivative
from sympy.core.function import UndefinedFunction, AppliedUndef
from sympy.core.symbol import Symbol
from sympy.interactive.printing import init_printing
from sympy.printing.latex import LatexPrinter
from sympy.printing.pretty.pretty import PrettyPrinter
from sympy.printing.pr... |
65ad5ee5f0ccef10a4cf4074319f71f97dcd6eabe4ce4c268a50dff856b22bb3 | from sympy.core.backend import (S, sympify, expand, sqrt, Add, zeros, acos,
ImmutableMatrix as Matrix, _simplify_matrix)
from sympy.simplify.trigsimp import trigsimp
from sympy.printing.defaults import Printable
from sympy.utilities.misc import filldedent
from sympy.core.evalf import EvalfMixin
from mpmath.libmp.l... |
e6a4b29b171da25186f068b70f57b3fd1551874cf308a011f18949b1ccdf9b0c | from functools import reduce
from sympy.core.backend import (sympify, diff, sin, cos, Matrix, symbols,
Function, S, Symbol)
from sympy.integrals.integrals import integrate
from sympy.simplify.trigsimp import trigsimp
from .vector import Vector, _check_vector
from .frame import Coordinat... |
0d5cff0af28b67b874b53a268487ec5db26ccd66518c3582cc3077c8516888e9 | from sympy.core.function import diff
from sympy.core.singleton import S
from sympy.integrals.integrals import integrate
from sympy.physics.vector import Vector, express
from sympy.physics.vector.frame import _check_frame
from sympy.physics.vector.vector import _check_vector
__all__ = ['curl', 'divergence', 'gradient'... |
b31580572899eebf8081195f89dbc721f0d6e3bbfc066cd8bab301f8f011528f | from sympy.core.backend import (diff, expand, sin, cos, sympify, eye, symbols,
ImmutableMatrix as Matrix, MatrixBase)
from sympy.core.symbol import (Dummy, Symbol)
from sympy.simplify.trigsimp import trigsimp
from sympy.solvers.solvers import solve
from sympy.physics.vector.vector import... |
2ee2c6ee8c8f64e5b2e1445c96a9da59bd3cdf8506c2da03c54adc77f427f891 | from sympy.core.backend import sympify, Add, ImmutableMatrix as Matrix
from sympy.core.evalf import EvalfMixin
from sympy.printing.defaults import Printable
from mpmath.libmp.libmpf import prec_to_dps
__all__ = ['Dyadic']
class Dyadic(Printable, EvalfMixin):
"""A Dyadic object.
See:
https://en.wikiped... |
b72b2110cb0b34f478898ce801b3c665167e7bff2dec60cfff1ca347285ea5e4 | from sympy.core.numbers import I
from sympy.core.symbol import symbols
from sympy.physics.paulialgebra import Pauli
from sympy.testing.pytest import XFAIL
from sympy.physics.quantum import TensorProduct
sigma1 = Pauli(1)
sigma2 = Pauli(2)
sigma3 = Pauli(3)
tau1 = symbols("tau1", commutative = False)
def test_Pauli(... |
2c3f5653e639956edb54ceccc82912196f4c5361598558cc079664f38f3fab53 | 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
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.integrals.integrals import integrate
from sympy.simplify.simplify import s... |
8ac4b6627227208357ce4f1bcb7a5888bdf0563e7a168a50bfc74ac2682ae947 | from sympy.core.numbers import (I, pi)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.functions.special.sp... |
928851211e89a2313f1966279732ec30c81d86829df3085acecd26abb7024d07 | from sympy.core.numbers import (I, Rational, oo, pi)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.integr... |
0e16bc890461cf12dc97b4ca480e903f4a6711c068aad8ff39beadc74d523302 | from sympy.physics.matrices import msigma, mgamma, minkowski_tensor, pat_matrix, mdft
from sympy.core.numbers import (I, Rational)
from sympy.core.singleton import S
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.matrices.dense import (Matrix, eye, zeros)
from sympy.testing.pytest import warns_dep... |
688b357f77a8ea16f812b454f31aebfe1ff2853991c7e7d082ff67dbb49fb0b3 | from sympy.core import symbols, Rational, Function, diff
from sympy.physics.sho import R_nl, E_nl
from sympy.simplify.simplify import simplify
def test_sho_R_nl():
omega, r = symbols('omega r')
l = symbols('l', integer=True)
u = Function('u')
# check that it obeys the Schrodinger equation
for n i... |
2374f2284ef811c71872edada237370d41f2b759f90fccfb46d947f58261d3fa | from sympy.physics.secondquant import (
Dagger, Bd, VarBosonicBasis, BBra, B, BKet, FixedBosonicBasis,
matrix_rep, apply_operators, InnerProduct, Commutator, KroneckerDelta,
AnnihilateBoson, CreateBoson, BosonicOperator,
F, Fd, FKet, BosonState, CreateFermion, AnnihilateFermion,
evaluate_deltas, Ant... |
5d271040ef51851ae5a92208fd9cb2394a44fb3b3eef0a61485099ab63ae1671 | from sympy.physics.pring import wavefunction, energy
from sympy.core.numbers import (I, pi)
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.integrals.integrals import integrate
from sympy.simplify.simplify import simplify
from sympy.abc import ... |
db62d48b85679fe170e8815e7f15b4ef93390809782c03b91fbec5db961f4dae | """
This module can be used to solve 2D beam bending problems with
singularity functions in mechanics.
"""
from sympy.core import S, Symbol, diff, symbols
from sympy.core.add import Add
from sympy.core.expr import Expr
from sympy.core.function import (Derivative, Function)
from sympy.core.mul import Mul
from sympy.cor... |
d2f2033a7f8c5e1cea5823f3546ed6d4ad62786cb0823d17c799118622ee29d5 | #!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
The module implements routines to model the polarization of optical fields
and can be used to calculate the effects of polarization optical elements on
the fields.
- Jones vectors.
- Stokes vectors.
- Jones matrices.
- Mueller matrices.
Examples
========
We calcul... |
9debed11d60787a445da30a03cbaff7fa3d488fea54ff01735632debf393fb9a | """
**Contains**
* Medium
"""
from sympy.physics.units import second, meter, kilogram, ampere
__all__ = ['Medium']
from sympy.core.symbol import Symbol
from sympy.core.sympify import sympify
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.units import speed_of_light, u0, e0
c = speed_o... |
aa84a5cee8cc4c70f1219bc140f27f705d8fc41f9ac325d5a829ddae251df8f4 | """
**Contains**
* refraction_angle
* fresnel_coefficients
* deviation
* brewster_angle
* critical_angle
* lens_makers_formula
* mirror_formula
* lens_formula
* hyperfocal_distance
* transverse_magnification
"""
__all__ = ['refraction_angle',
'deviation',
'fresnel_coefficients',
'brew... |
f7ddbec5de0100c99def2d3b31f3c5dfcc2b7c11233cb762b0fad5d2251ff849 | """
This module has all the classes and functions related to waves in optics.
**Contains**
* TWave
"""
__all__ = ['TWave']
from sympy.core.expr import Expr
from sympy.core.function import Derivative, Function
from sympy.core.numbers import (Number, pi, I)
from sympy.core.singleton import S
from sympy.core.symbol im... |
a21776c118e5bed4d4c2539d5cee700142757a49a91600a557c8da96a5440d45 | """
Gaussian optics.
The module implements:
- Ray transfer matrices for geometrical and gaussian optics.
See RayTransferMatrix, GeometricRay and BeamParameter
- Conjugation relations for geometrical and gaussian optics.
See geometric_conj*, gauss_conj and conjugate_gauss_beams
The conventions for the distance... |
9047cf3bd09bca990d80bd69705d230e6fb0ffb1e5e744333e6aff1c3b73a9d2 | from sympy.core.add import Add
from sympy.core.function import Function
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Rational, oo)
from sympy.core.power import Pow
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sy... |
01664a59aa382d06faee197b16d12cada1b396501c4462b1b8c37304d210b566 | from sympy.core.numbers import I
from sympy.core.symbol import Dummy
from sympy.functions.elementary.complexes import (Abs, arg)
from sympy.functions.elementary.exponential import log
from sympy.abc import s, p, a
from sympy.external import import_module
from sympy.physics.control.control_plots import \
(pole_zero_... |
22f778191582f89ca5837e19c1828a0e146d424ca854c2f54f1a821e74308102 | from sympy.core.numbers import Rational
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import log
from sympy.external import import_module
from sympy.physics.quantum.density import Density, entropy, fidelity
from sympy.physics.quantum.state import Ke... |
ac473f722ac826fa14d7100db8e4e432324776be8396e3f827db160f60fc5e97 | from sympy.core.numbers import (Float, I, Integer)
from sympy.matrices.dense import Matrix
from sympy.external import import_module
from sympy.testing.pytest import skip
from sympy.physics.quantum.dagger import Dagger
from sympy.physics.quantum.represent import (represent, rep_innerproduct,
... |
1d5475289d7c688a78d0e2da66f4f3e4d045ac93b0740e1c32fdf8368d432d38 | from sympy.core.mul import prod
from sympy.core.numbers import Rational
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.quantum import Dagger, Commutator, qapply
from sympy.physics.quantum.boson import BosonOp
from sympy.physics.quantum... |
45634855e5dbb5c178e723167b4d7278446e2a682111089ee580661b1a990d7e | from sympy.core.numbers import Integer
from sympy.core.symbol import Symbol
from sympy.physics.quantum.qexpr import QExpr, _qsympify_sequence
from sympy.physics.quantum.hilbert import HilbertSpace
from sympy.core.containers import Tuple
x = Symbol('x')
y = Symbol('y')
def test_qexpr_new():
q = QExpr(0)
asser... |
dd81ab5c2b052e12ed379311c93e5917c10bad2764bc3293bfac4a3388b68a6b | from sympy.external import import_module
from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.physics.quantum.dagger import Dagger
from sympy.physics.quantum.gate import (X, Y, Z, H, CNOT,
IdentityGate, CGate, PhaseGate, TGate)
from sympy.physics.quantum.identitysearch import (genera... |
ee8057d47a169eb62d1e3001468aafff040307d07cdbd13df5f75c2736aa6b03 | from sympy.core.mul import Mul
from sympy.core.numbers import (I, Integer, Rational, pi)
from sympy.core.symbol import (Wild, symbols)
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.matrices import Matrix, ImmutableMatrix
from sympy.physics.q... |
7d65f248c857b679e3fc67fdd202f3f18a4104116143b13058e020f66ab3b94f | from sympy.core.mul import Mul
from sympy.core.numbers import (I, Integer, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.physics.quantum.anticommutator import AntiCommutator
from sympy.physics.quantum.commutator i... |
6fc7812f098bf22cdef9adf44cc0e4a16b83ca6d363ef063afb6b27cbc1a47f2 | """Tests for cartesian.py"""
from sympy.core.numbers import (I, pi)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.functions.special.delta_functions import DiracDelta
fr... |
090588299152a6451ee57ec0176ec4a95c19e25d19ab2725ddb758815663dc7b | from sympy.core.numbers import (I, pi)
from sympy.core.symbol import Symbol
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.matrices.dense import Matrix
from sympy.physics.quantum.qft import QFT, IQFT, RkGate
from sympy.physics.quantum.gate im... |
bb37bad801ba1f8c7631824903e118dcdb64ab0beb0c843690e36ebc8450899e | from sympy.functions.elementary.miscellaneous import sqrt
from sympy.matrices.dense import Matrix
from sympy.physics.quantum.represent import represent
from sympy.physics.quantum.qapply import qapply
from sympy.physics.quantum.qubit import IntQubit
from sympy.physics.quantum.grover import (apply_grover, superposition_b... |
0cd7c179805aff9f24486ecf339225a3ac67cde93c952880197d35b8c15162a2 | from sympy.core.singleton import S
from sympy.physics.quantum.operatorset import (
operators_to_state, state_to_operators
)
from sympy.physics.quantum.cartesian import (
XOp, XKet, PxOp, PxKet, XBra, PxBra
)
from sympy.physics.quantum.state import Ket, Bra
from sympy.physics.quantum.operator import Operator
... |
f27767cf222c8c5e003aeffd93a62a6a9ff55d40d36e21a7bfba2725dad90560 | """Tests for piab.py"""
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 sin
from sympy.sets.sets import Interval
from sympy.functions.special.tensor_... |
60c260d88d01fa220aeb5a56e167a98be9ed09333d14936eab790440cd8fdbbb | from sympy.core.expr import Expr
from sympy.core.mul import Mul
from sympy.core.numbers import (I, Integer)
from sympy.core.symbol import symbols
from sympy.functions.elementary.complexes import conjugate
from sympy.matrices.dense import Matrix
from sympy.physics.quantum.dagger import adjoint, Dagger
from sympy.extern... |
78d9c08a0669475a52dbdbc3f216e578e526094d0be9a10312559642b0bdc3c9 | from sympy.core.function import (Derivative, Function, diff)
from sympy.core.mul import Mul
from sympy.core.numbers import (Integer, pi)
from sympy.core.symbol import (Symbol, symbols)
from sympy.functions.elementary.trigonometric import sin
from sympy.physics.quantum.qexpr import QExpr
from sympy.physics.quantum.dagge... |
d7209335faee069f85ef92abc67751d8f3de765161b475827c28a71cd4187847 | from sympy.core.mul import Mul
from sympy.core.numbers import I
from sympy.matrices.dense import Matrix
from sympy.printing.latex import latex
from sympy.physics.quantum import (Dagger, Commutator, AntiCommutator, qapply,
Operator, represent)
from sympy.physics.quantum.pauli import (S... |
7245872b040588031670369849aff6eaf8bf188b2fb37dbfd0eeb6239946b2bf | from sympy.core.numbers import Integer
from sympy.core.symbol import symbols
from sympy.physics.quantum.dagger import Dagger
from sympy.physics.quantum.anticommutator import AntiCommutator as AComm
from sympy.physics.quantum.operator import Operator
a, b, c = symbols('a,b,c')
A, B, C, D = symbols('A,B,C,D', commutat... |
2063faadcdbe6f7c1ef5d4436e9467885021430a7f4d8b4c7c5cf1bac029af1d | from sympy.physics.quantum.hilbert import (
HilbertSpace, ComplexSpace, L2, FockSpace, TensorProductHilbertSpace,
DirectSumHilbertSpace, TensorPowerHilbertSpace
)
from sympy.core.numbers import oo
from sympy.core.symbol import Symbol
from sympy.printing.repr import srepr
from sympy.printing.str import sstr
fro... |
2ce20f34659a95f3cb2fb0cd01a88b0a9e09fc6d6666951899308dc77923aa0c | from sympy.concrete.summations import Sum
from sympy.core.function import expand
from sympy.core.numbers import (I, Rational, pi)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.exponential import exp
from sympy.functions.elementary.miscellaneous import sqrt
from... |
91e06cb460e93484c546bd3ab9516b91afcb8dee7a83aa05a09404a595e69d8c | from sympy.core.numbers import Integer
from sympy.core.symbol import symbols
from sympy.physics.quantum.dagger import Dagger
from sympy.physics.quantum.commutator import Commutator as Comm
from sympy.physics.quantum.operator import Operator
a, b, c = symbols('a,b,c')
n = symbols('n', integer=True)
A, B, C, D = symbo... |
389c59c88cc5d9fe862ffe72d86451c3b7e2743145898b10c378de6a604bb0bf | import random
from sympy.core.numbers import (Integer, Rational)
from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.functions.elementary.miscellaneous import sqrt
from sympy.matrices.dense import Matrix
from sympy.physics.quantum.qubit import (measure_all, measure_partial,
... |
16834cd0d5387a3bb7961d8f8568d712070ab87e5beb64a2cc700e055cafdd7b | from sympy.core.numbers import I
from sympy.core.symbol import symbols
from sympy.core.expr import unchanged
from sympy.matrices import Matrix, SparseMatrix
from sympy.physics.quantum.commutator import Commutator as Comm
from sympy.physics.quantum.tensorproduct import TensorProduct
from sympy.physics.quantum.tensorpro... |
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