Python abc.x方法代码示例

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_pretty_sets():
    s = FiniteSet
    assert pretty(s([x*y, x**2])) == \
"""\
  2      \n\
{x , x*y}\
"""
    assert pretty(s(range(1, 6))) == "{1, 2, 3, 4, 5}"
    assert pretty(s(range(1, 13))) == "{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}"
    for s in (frozenset, set):
        assert pretty(s([x*y, x**2])) == \
"""\
%s   2       \n\
%s([x , x*y])\
""" % (" " * len(s.__name__), s.__name__)
        assert pretty(s(range(1, 6))) == "%s([1, 2, 3, 4, 5])" % s.__name__
        assert pretty(s(range(1, 13))) == \
            "%s([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12])" % s.__name__ 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_pretty_special_functions():
    x, y = symbols("x y")

    # atan2
    expr = atan2(y/sqrt(200), sqrt(x))
    ascii_str = \
"""\
     /  ___         \\\n\
     |\\/ 2 *y    ___|\n\
atan2|-------, \\/ x |\n\
     \\   20         /\
"""
    ucode_str = \
u("""\
     ⎛  ___         ⎞\n\
     ⎜╲╱ 2 ⋅y    ___⎟\n\
atan2⎜───────, ╲╱ x ⎟\n\
     ⎝   20         ⎠\
""")
    assert pretty(expr) == ascii_str
    assert upretty(expr) == ucode_str 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_expint():
    expr = Ei(x)
    string = 'Ei(x)'
    assert pretty(expr) == string
    assert upretty(expr) == string

    expr = expint(1, z)
    ucode_str = u("E₁(z)")
    ascii_str = "expint(1, z)"
    assert pretty(expr) == ascii_str
    assert upretty(expr) == ucode_str

    assert pretty(Shi(x)) == 'Shi(x)'
    assert pretty(Si(x)) == 'Si(x)'
    assert pretty(Ci(x)) == 'Ci(x)'
    assert pretty(Chi(x)) == 'Chi(x)'
    assert upretty(Shi(x)) == 'Shi(x)'
    assert upretty(Si(x)) == 'Si(x)'
    assert upretty(Ci(x)) == 'Ci(x)'
    assert upretty(Chi(x)) == 'Chi(x)' 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_issue_3640():
    ascii_str = \
"""\
  1  \n\
-----\n\
  ___\n\
\/ x \
"""
    ucode_str = \
u("""\
  1  \n\
─────\n\
  ___\n\
╲╱ x \
""")
    assert pretty(1/sqrt(x)) == ascii_str
    assert upretty(1/sqrt(x)) == ucode_str 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_latex_symbols():
    Gamma, lmbda, rho = symbols('Gamma, lambda, rho')
    mass, volume = symbols('mass, volume')
    assert latex(Gamma + lmbda) == r"\Gamma + \lambda"
    assert latex(Gamma * lmbda) == r"\Gamma \lambda"
    assert latex(Symbol('q1')) == r"q_{1}"
    assert latex(Symbol('q21')) == r"q_{21}"
    assert latex(Symbol('epsilon0')) == r"\epsilon_{0}"
    assert latex(Symbol('omega1')) == r"\omega_{1}"
    assert latex(Symbol('91')) == r"91"
    assert latex(Symbol('alpha_new')) == r"\alpha_{new}"
    assert latex(Symbol('C^orig')) == r"C^{orig}"
    assert latex(Symbol('x^alpha')) == r"x^{\alpha}"
    assert latex(Symbol('beta^alpha')) == r"\beta^{\alpha}"
    assert latex(Symbol('e^Alpha')) == r"e^{A}"
    assert latex(Symbol('omega_alpha^beta')) == r"\omega^{\beta}_{\alpha}"
    assert latex(Symbol('omega') ** Symbol('beta')) == r"\omega^{\beta}" 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_latex_integrals():
    assert latex(Integral(log(x), x)) == r"\int \log{\left (x \right )}\, dx"
    assert latex(Integral(x**2, (x, 0, 1))) == r"\int_{0}^{1} x^{2}\, dx"
    assert latex(Integral(x**2, (x, 10, 20))) == r"\int_{10}^{20} x^{2}\, dx"
    assert latex(Integral(
        y*x**2, (x, 0, 1), y)) == r"\int\int_{0}^{1} x^{2} y\, dx\, dy"
    assert latex(Integral(y*x**2, (x, 0, 1), y), mode='equation*') \
        == r"\begin{equation*}\int\int\limits_{0}^{1} x^{2} y\, dx\, dy\end{equation*}"
    assert latex(Integral(y*x**2, (x, 0, 1), y), mode='equation*', itex=True) \
        == r"$$\int\int_{0}^{1} x^{2} y\, dx\, dy$$"
    assert latex(Integral(x, (x, 0))) == r"\int^{0} x\, dx"
    assert latex(Integral(x*y, x, y)) == r"\iint x y\, dx\, dy"
    assert latex(Integral(x*y*z, x, y, z)) == r"\iiint x y z\, dx\, dy\, dz"
    assert latex(Integral(x*y*z*t, x, y, z, t)) == \
        r"\iiiint t x y z\, dx\, dy\, dz\, dt"
    assert latex(Integral(x, x, x, x, x, x, x)) == \
        r"\int\int\int\int\int\int x\, dx\, dx\, dx\, dx\, dx\, dx"
    assert latex(Integral(x, x, y, (z, 0, 1))) == \
        r"\int_{0}^{1}\int\int x\, dx\, dy\, dz" 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_latex_issue1477():
    assert latex(Symbol("beta_13_2")) == r"\beta_{13 2}"
    assert latex(Symbol("beta_132_20")) == r"\beta_{132 20}"
    assert latex(Symbol("beta_13")) == r"\beta_{13}"
    assert latex(Symbol("x_a_b")) == r"x_{a b}"
    assert latex(Symbol("x_1_2_3")) == r"x_{1 2 3}"
    assert latex(Symbol("x_a_b1")) == r"x_{a b1}"
    assert latex(Symbol("x_a_1")) == r"x_{a 1}"
    assert latex(Symbol("x_1_a")) == r"x_{1 a}"
    assert latex(Symbol("x_1^aa")) == r"x^{aa}_{1}"
    assert latex(Symbol("x_1__aa")) == r"x^{aa}_{1}"
    assert latex(Symbol("x_11^a")) == r"x^{a}_{11}"
    assert latex(Symbol("x_11__a")) == r"x^{a}_{11}"
    assert latex(Symbol("x_a_a_a_a")) == r"x_{a a a a}"
    assert latex(Symbol("x_a_a^a^a")) == r"x^{a a}_{a a}"
    assert latex(Symbol("x_a_a__a__a")) == r"x^{a a}_{a a}"
    assert latex(Symbol("alpha_11")) == r"\alpha_{11}"
    assert latex(Symbol("alpha_11_11")) == r"\alpha_{11 11}"
    assert latex(Symbol("alpha_alpha")) == r"\alpha_{\alpha}"
    assert latex(Symbol("alpha^aleph")) == r"\alpha^{\aleph}"
    assert latex(Symbol("alpha__aleph")) == r"\alpha^{\aleph}" 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_latex_FracElement():
    Fuv, u,v = field("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Fuv)

    assert latex(x - x) == r"0"
    assert latex(x - 1) == r"x - 1"
    assert latex(x + 1) == r"x + 1"

    assert latex(x/3) == r"\frac{x}{3}"
    assert latex(x/z) == r"\frac{x}{z}"
    assert latex(x*y/z) == r"\frac{x y}{z}"
    assert latex(x/(z*t)) == r"\frac{x}{z t}"
    assert latex(x*y/(z*t)) == r"\frac{x y}{z t}"

    assert latex((x - 1)/y) == r"\frac{x - 1}{y}"
    assert latex((x + 1)/y) == r"\frac{x + 1}{y}"
    assert latex((-x - 1)/y) == r"\frac{-x - 1}{y}"
    assert latex((x + 1)/(y*z)) == r"\frac{x + 1}{y z}"
    assert latex(-y/(x + 1)) == r"\frac{-y}{x + 1}"
    assert latex(y*z/(x + 1)) == r"\frac{y z}{x + 1}"

    assert latex(((u + 1)*x*y + 1)/((v - 1)*z - 1)) == r"\frac{\left(u + 1\right) x y + 1}{\left(v - 1\right) z - 1}"
    assert latex(((u + 1)*x*y + 1)/((v - 1)*z - t*u*v - 1)) == r"\frac{\left(u + 1\right) x y + 1}{\left(v - 1\right) z - u v t - 1}" 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_matMul():
    from sympy import MatrixSymbol
    from sympy.printing.latex import LatexPrinter
    A = MatrixSymbol('A', 5, 5)
    B = MatrixSymbol('B', 5, 5)
    x = Symbol('x')
    l = LatexPrinter()
    assert l._print_MatMul(2*A) == '2 A'
    assert l._print_MatMul(2*x*A) == '2 x A'
    assert l._print_MatMul(-2*A) == '-2 A'
    assert l._print_MatMul(1.5*A) == '1.5 A'
    assert l._print_MatMul(sqrt(2)*A) == r'\sqrt{2} A'
    assert l._print_MatMul(-sqrt(2)*A) == r'- \sqrt{2} A'
    assert l._print_MatMul(2*sqrt(2)*x*A) == r'2 \sqrt{2} x A'
    assert l._print_MatMul(-2*A*(A + 2*B)) in [r'-2 A \left(A + 2 B\right)',
        r'-2 A \left(2 B + A\right)'] 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_integral_transforms():
    x = Symbol("x")
    k = Symbol("k")
    f = Function("f")
    a = Symbol("a")
    b = Symbol("b")

    assert latex(MellinTransform(f(x), x, k)) == r"\mathcal{M}_{x}\left[f{\left (x \right )}\right]\left(k\right)"
    assert latex(InverseMellinTransform(f(k), k, x, a, b)) == r"\mathcal{M}^{-1}_{k}\left[f{\left (k \right )}\right]\left(x\right)"

    assert latex(LaplaceTransform(f(x), x, k)) == r"\mathcal{L}_{x}\left[f{\left (x \right )}\right]\left(k\right)"
    assert latex(InverseLaplaceTransform(f(k), k, x, (a, b))) == r"\mathcal{L}^{-1}_{k}\left[f{\left (k \right )}\right]\left(x\right)"

    assert latex(FourierTransform(f(x), x, k)) == r"\mathcal{F}_{x}\left[f{\left (x \right )}\right]\left(k\right)"
    assert latex(InverseFourierTransform(f(k), k, x)) == r"\mathcal{F}^{-1}_{k}\left[f{\left (k \right )}\right]\left(x\right)"

    assert latex(CosineTransform(f(x), x, k)) == r"\mathcal{COS}_{x}\left[f{\left (x \right )}\right]\left(k\right)"
    assert latex(InverseCosineTransform(f(k), k, x)) == r"\mathcal{COS}^{-1}_{k}\left[f{\left (k \right )}\right]\left(x\right)"

    assert latex(SineTransform(f(x), x, k)) == r"\mathcal{SIN}_{x}\left[f{\left (x \right )}\right]\left(k\right)"
    assert latex(InverseSineTransform(f(k), k, x)) == r"\mathcal{SIN}^{-1}_{k}\left[f{\left (k \right )}\right]\left(x\right)" 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_Modules():
    from sympy.polys.domains import QQ
    from sympy.polys.agca import homomorphism

    R = QQ.old_poly_ring(x, y)
    F = R.free_module(2)
    M = F.submodule([x, y], [1, x**2])

    assert latex(F) == r"{\mathbb{Q}\left[x, y\right]}^{2}"
    assert latex(M) == \
        r"\left< {\left[ {x},{y} \right]},{\left[ {1},{x^{2}} \right]} \right>"

    I = R.ideal(x**2, y)
    assert latex(I) == r"\left< {x^{2}},{y} \right>"

    Q = F / M
    assert latex(Q) == r"\frac{{\mathbb{Q}\left[x, y\right]}^{2}}{\left< {\left[ {x},{y} \right]},{\left[ {1},{x^{2}} \right]} \right>}"
    assert latex(Q.submodule([1, x**3/2], [2, y])) == \
        r"\left< {{\left[ {1},{\frac{x^{3}}{2}} \right]} + {\left< {\left[ {x},{y} \right]},{\left[ {1},{x^{2}} \right]} \right>}},{{\left[ {2},{y} \right]} + {\left< {\left[ {x},{y} \right]},{\left[ {1},{x^{2}} \right]} \right>}} \right>"

    h = homomorphism(QQ.old_poly_ring(x).free_module(2), QQ.old_poly_ring(x).free_module(2), [0, 0])

    assert latex(h) == r"{\left[\begin{matrix}0 & 0\\0 & 0\end{matrix}\right]} : {{\mathbb{Q}\left[x\right]}^{2}} \to {{\mathbb{Q}\left[x\right]}^{2}}" 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_latex_greek_functions():
    # bug because capital greeks that have roman equivalents should not use
    # \Alpha, \Beta, \Eta, etc.
    s = Function('Alpha')
    assert latex(s) == r'A'
    assert latex(s(x)) == r'A{\left (x \right )}'
    s = Function('Beta')
    assert latex(s) == r'B'
    s = Function('Eta')
    assert latex(s) == r'H'
    assert latex(s(x)) == r'H{\left (x \right )}'

    # bug because sympy.core.numbers.Pi is special
    p = Function('Pi')
    # assert latex(p(x)) == r'\Pi{\left (x \right )}'
    assert latex(p) == r'\Pi'

    # bug because not all greeks are included
    c = Function('chi')
    assert latex(c(x)) == r'\chi{\left (x \right )}'
    assert latex(c) == r'\chi' 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def test_dotprint():
    text = dotprint(x+2, repeat=False)
    assert all(e in text for e in dotedges(x+2, repeat=False))
    assert all(n in text for n in map(lambda expr: dotnode(expr, repeat=False), (x, Integer(2), x+2)))
    assert 'digraph' in text
    text = dotprint(x+x**2, repeat=False)
    assert all(e in text for e in dotedges(x+x**2, repeat=False))
    assert all(n in text for n in map(lambda expr: dotnode(expr, repeat=False), (x, Integer(2), x**2)))
    assert 'digraph' in text
    text = dotprint(x+x**2, repeat=True)
    assert all(e in text for e in dotedges(x+x**2, repeat=True))
    assert all(n in text for n in map(lambda expr: dotnode(expr, pos=()), [x + x**2]))
    text = dotprint(x**x, repeat=True)
    assert all(e in text for e in dotedges(x**x, repeat=True))
    assert all(n in text for n in [dotnode(x, pos=(0,)), dotnode(x, pos=(1,))])
    assert 'digraph' in text 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def _optimizationStep(self, x):
        """
        Wrapper for the fit method to use it in conjunction with scipy.optimize.minimize.

        Args:
            x(list): unpacked list of current hyper-parameter values
        """
        # set new hyperparameters in transition model
        self._setSelectedHyperParameters(x)

        # compute log-evidence
        self.fit(evidenceOnly=True, silent=True)

        print('    + Log10-evidence: {:.5f}'.format(self.logEvidence / np.log(10)), '- Parameter values:', x)

        # return negative log-evidence (is minimized to maximize evidence)
        return -self.logEvidence 

# 需要导入模块: from sympy import abc [as 别名]
# 或者: from sympy.abc import x [as 别名]
def _setAllHyperParameters(self, x):
        """
        Sets all current hyper-parameters, based on a flattened list of parameter values.

        Args:
            x(list): list of values (e.g. from _unpackSelectedHyperParameters)
        """
        paramList = list(x[:])  # make copy of parameter list

        nameTree = self._unpackHyperParameters(self.transitionModel)
        namesFlat = list(flatten(self._unpackHyperParameters(self.transitionModel)))

        for name in namesFlat:
            index = recursiveIndex(nameTree, name)

            # get correct sub-model
            model = self.transitionModel
            for i in index[:-1]:
                model = model.models[i]

            model.hyperParameterValues[model.hyperParameterNames.index(name)] = paramList[0]
            paramList.pop(0)

            # remove occurrence from nameTree (if name is listed twice, use second occurrence...)
            assignNestedItem(nameTree, index, ' ')