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Python sympy.erfinv函数代码示例

本文整理汇总了Python中sympy.erfinv函数的典型用法代码示例。如果您正苦于以下问题:Python erfinv函数的具体用法?Python erfinv怎么用?Python erfinv使用的例子?那么恭喜您, 这里精选的函数代码示例或许可以为您提供帮助。


在下文中一共展示了erfinv函数的6个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的Python代码示例。

示例1: test_errorinverses

def test_errorinverses():
    assert solveset_real(erf(x) - S.One/2, x) == \
        FiniteSet(erfinv(S.One/2))
    assert solveset_real(erfinv(x) - 2, x) == \
        FiniteSet(erf(2))
    assert solveset_real(erfc(x) - S.One, x) == \
        FiniteSet(erfcinv(S.One))
    assert solveset_real(erfcinv(x) - 2, x) == FiniteSet(erfc(2))
开发者ID:nickle8424,项目名称:sympy,代码行数:8,代码来源:test_solveset.py

示例2: test_erf

def test_erf():
    assert erf(nan) == nan

    assert erf(oo) == 1
    assert erf(-oo) == -1

    assert erf(0) == 0

    assert erf(I*oo) == oo*I
    assert erf(-I*oo) == -oo*I

    assert erf(-2) == -erf(2)
    assert erf(-x*y) == -erf(x*y)
    assert erf(-x - y) == -erf(x + y)

    assert erf(erfinv(x)) == x
    assert erf(erfcinv(x)) == 1 - x
    assert erf(erf2inv(0, x)) == x
    assert erf(erf2inv(0, erf(erfcinv(1 - erf(erfinv(x)))))) == x

    assert erf(I).is_real is False
    assert erf(0).is_real is True

    assert conjugate(erf(z)) == erf(conjugate(z))

    assert erf(x).as_leading_term(x) == 2*x/sqrt(pi)
    assert erf(1/x).as_leading_term(x) == erf(1/x)

    assert erf(z).rewrite('uppergamma') == sqrt(z**2)*(1 - erfc(sqrt(z**2)))/z
    assert erf(z).rewrite('erfc') == S.One - erfc(z)
    assert erf(z).rewrite('erfi') == -I*erfi(I*z)
    assert erf(z).rewrite('fresnels') == (1 + I)*(fresnelc(z*(1 - I)/sqrt(pi)) -
        I*fresnels(z*(1 - I)/sqrt(pi)))
    assert erf(z).rewrite('fresnelc') == (1 + I)*(fresnelc(z*(1 - I)/sqrt(pi)) -
        I*fresnels(z*(1 - I)/sqrt(pi)))
    assert erf(z).rewrite('hyper') == 2*z*hyper([S.Half], [3*S.Half], -z**2)/sqrt(pi)
    assert erf(z).rewrite('meijerg') == z*meijerg([S.Half], [], [0], [-S.Half], z**2)/sqrt(pi)
    assert erf(z).rewrite('expint') == sqrt(z**2)/z - z*expint(S.Half, z**2)/sqrt(S.Pi)

    assert limit(exp(x)*exp(x**2)*(erf(x + 1/exp(x)) - erf(x)), x, oo) == \
        2/sqrt(pi)
    assert limit((1 - erf(z))*exp(z**2)*z, z, oo) == 1/sqrt(pi)
    assert limit((1 - erf(x))*exp(x**2)*sqrt(pi)*x, x, oo) == 1
    assert limit(((1 - erf(x))*exp(x**2)*sqrt(pi)*x - 1)*2*x**2, x, oo) == -1

    assert erf(x).as_real_imag() == \
        ((erf(re(x) - I*re(x)*Abs(im(x))/Abs(re(x)))/2 +
         erf(re(x) + I*re(x)*Abs(im(x))/Abs(re(x)))/2,
         I*(erf(re(x) - I*re(x)*Abs(im(x))/Abs(re(x))) -
         erf(re(x) + I*re(x)*Abs(im(x))/Abs(re(x)))) *
         re(x)*Abs(im(x))/(2*im(x)*Abs(re(x)))))

    raises(ArgumentIndexError, lambda: erf(x).fdiff(2))
开发者ID:KonstantinTogoi,项目名称:sympy,代码行数:53,代码来源:test_error_functions.py

示例3: test_erfcinv

def test_erfcinv():
    assert erfcinv(1) == 0
    assert erfcinv(0) == S.Infinity
    assert erfcinv(nan) == S.NaN

    assert erfcinv(x).diff() == -sqrt(pi)*exp(erfcinv(x)**2)/2

    assert erfcinv(z).rewrite('erfinv') == erfinv(1-z)
开发者ID:KonstantinTogoi,项目名称:sympy,代码行数:8,代码来源:test_error_functions.py

示例4: test_erf2inv

def test_erf2inv():
    assert erf2inv(0, 0) == S.Zero
    assert erf2inv(0, 1) == S.Infinity
    assert erf2inv(1, 0) == S.One
    assert erf2inv(0, y) == erfinv(y)
    assert erf2inv(oo,y) == erfcinv(-y)

    assert erf2inv(x, y).diff(x) == exp(-x**2 + erf2inv(x, y)**2)
    assert erf2inv(x, y).diff(y) == sqrt(pi)*exp(erf2inv(x, y)**2)/2
开发者ID:KonstantinTogoi,项目名称:sympy,代码行数:9,代码来源:test_error_functions.py

示例5: test_erfi

def test_erfi():
    assert erfi(nan) == nan

    assert erfi(oo) == S.Infinity
    assert erfi(-oo) == S.NegativeInfinity

    assert erfi(0) == S.Zero

    assert erfi(I*oo) == I
    assert erfi(-I*oo) == -I

    assert erfi(-x) == -erfi(x)

    assert erfi(I*erfinv(x)) == I*x
    assert erfi(I*erfcinv(x)) == I*(1 - x)
    assert erfi(I*erf2inv(0, x)) == I*x

    assert erfi(I).is_real is False
    assert erfi(0).is_real is True

    assert conjugate(erfi(z)) == erfi(conjugate(z))

    assert erfi(z).rewrite('erf') == -I*erf(I*z)
    assert erfi(z).rewrite('erfc') == I*erfc(I*z) - I
    assert erfi(z).rewrite('fresnels') == (1 - I)*(fresnelc(z*(1 + I)/sqrt(pi)) -
        I*fresnels(z*(1 + I)/sqrt(pi)))
    assert erfi(z).rewrite('fresnelc') == (1 - I)*(fresnelc(z*(1 + I)/sqrt(pi)) -
        I*fresnels(z*(1 + I)/sqrt(pi)))
    assert erfi(z).rewrite('hyper') == 2*z*hyper([S.Half], [3*S.Half], z**2)/sqrt(pi)
    assert erfi(z).rewrite('meijerg') == z*meijerg([S.Half], [], [0], [-S.Half], -z**2)/sqrt(pi)
    assert erfi(z).rewrite('uppergamma') == (sqrt(-z**2)/z*(uppergamma(S.Half,
        -z**2)/sqrt(S.Pi) - S.One))
    assert erfi(z).rewrite('expint') == sqrt(-z**2)/z - z*expint(S.Half, -z**2)/sqrt(S.Pi)
    assert expand_func(erfi(I*z)) == I*erf(z)

    assert erfi(x).as_real_imag() == \
        ((erfi(re(x) - I*re(x)*Abs(im(x))/Abs(re(x)))/2 +
         erfi(re(x) + I*re(x)*Abs(im(x))/Abs(re(x)))/2,
         I*(erfi(re(x) - I*re(x)*Abs(im(x))/Abs(re(x))) -
         erfi(re(x) + I*re(x)*Abs(im(x))/Abs(re(x)))) *
         re(x)*Abs(im(x))/(2*im(x)*Abs(re(x)))))

    raises(ArgumentIndexError, lambda: erfi(x).fdiff(2))
开发者ID:KonstantinTogoi,项目名称:sympy,代码行数:43,代码来源:test_error_functions.py

示例6: test_erfinv_evalf

def test_erfinv_evalf():
    assert abs( erfinv(Float(0.2)) - 0.179143454621292 ) < 1E-13
开发者ID:KonstantinTogoi,项目名称:sympy,代码行数:2,代码来源:test_error_functions.py


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