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112 lines
3.7 KiB
112 lines
3.7 KiB
5 months ago
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"""
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This module exports all latin and greek letters as Symbols, so you can
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conveniently do
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>>> from sympy.abc import x, y
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instead of the slightly more clunky-looking
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>>> from sympy import symbols
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>>> x, y = symbols('x y')
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Caveats
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=======
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1. As of the time of writing this, the names ``O``, ``S``, ``I``, ``N``,
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``E``, and ``Q`` are colliding with names defined in SymPy. If you import them
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from both ``sympy.abc`` and ``sympy``, the second import will "win".
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This is an issue only for * imports, which should only be used for short-lived
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code such as interactive sessions and throwaway scripts that do not survive
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until the next SymPy upgrade, where ``sympy`` may contain a different set of
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names.
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2. This module does not define symbol names on demand, i.e.
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``from sympy.abc import foo`` will be reported as an error because
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``sympy.abc`` does not contain the name ``foo``. To get a symbol named ``foo``,
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you still need to use ``Symbol('foo')`` or ``symbols('foo')``.
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You can freely mix usage of ``sympy.abc`` and ``Symbol``/``symbols``, though
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sticking with one and only one way to get the symbols does tend to make the code
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more readable.
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The module also defines some special names to help detect which names clash
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with the default SymPy namespace.
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``_clash1`` defines all the single letter variables that clash with
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SymPy objects; ``_clash2`` defines the multi-letter clashing symbols;
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and ``_clash`` is the union of both. These can be passed for ``locals``
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during sympification if one desires Symbols rather than the non-Symbol
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objects for those names.
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Examples
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========
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>>> from sympy import S
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>>> from sympy.abc import _clash1, _clash2, _clash
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>>> S("Q & C", locals=_clash1)
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C & Q
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>>> S('pi(x)', locals=_clash2)
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pi(x)
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>>> S('pi(C, Q)', locals=_clash)
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pi(C, Q)
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"""
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from typing import Any, Dict as tDict
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import string
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from .core import Symbol, symbols
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from .core.alphabets import greeks
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from sympy.parsing.sympy_parser import null
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##### Symbol definitions #####
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# Implementation note: The easiest way to avoid typos in the symbols()
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# parameter is to copy it from the left-hand side of the assignment.
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a, b, c, d, e, f, g, h, i, j = symbols('a, b, c, d, e, f, g, h, i, j')
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k, l, m, n, o, p, q, r, s, t = symbols('k, l, m, n, o, p, q, r, s, t')
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u, v, w, x, y, z = symbols('u, v, w, x, y, z')
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A, B, C, D, E, F, G, H, I, J = symbols('A, B, C, D, E, F, G, H, I, J')
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K, L, M, N, O, P, Q, R, S, T = symbols('K, L, M, N, O, P, Q, R, S, T')
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U, V, W, X, Y, Z = symbols('U, V, W, X, Y, Z')
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alpha, beta, gamma, delta = symbols('alpha, beta, gamma, delta')
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epsilon, zeta, eta, theta = symbols('epsilon, zeta, eta, theta')
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iota, kappa, lamda, mu = symbols('iota, kappa, lamda, mu')
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nu, xi, omicron, pi = symbols('nu, xi, omicron, pi')
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rho, sigma, tau, upsilon = symbols('rho, sigma, tau, upsilon')
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phi, chi, psi, omega = symbols('phi, chi, psi, omega')
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##### Clashing-symbols diagnostics #####
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# We want to know which names in SymPy collide with those in here.
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# This is mostly for diagnosing SymPy's namespace during SymPy development.
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_latin = list(string.ascii_letters)
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# QOSINE should not be imported as they clash; gamma, pi and zeta clash, too
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_greek = list(greeks) # make a copy, so we can mutate it
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# Note: We import lamda since lambda is a reserved keyword in Python
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_greek.remove("lambda")
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_greek.append("lamda")
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ns: tDict[str, Any] = {}
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exec('from sympy import *', ns)
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_clash1: tDict[str, Any] = {}
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_clash2: tDict[str, Any] = {}
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while ns:
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_k, _ = ns.popitem()
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if _k in _greek:
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_clash2[_k] = null
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_greek.remove(_k)
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elif _k in _latin:
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_clash1[_k] = null
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_latin.remove(_k)
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_clash = {}
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_clash.update(_clash1)
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_clash.update(_clash2)
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del _latin, _greek, Symbol, _k, null
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