Python numpy.sinh() 使用实例

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Example 1

def quadrf(ev, y):
    L = ev[1]      # length
    k = ev[4]      # quadrupole strength
    if k == 0:
        R = drift(ev, y)
    else:
        wrzlk = sqrt(abs(k))
        Omega = wrzlk*L
        coshom = cosh(Omega)
        sinhom = sinh(Omega)
        cosom = cos(Omega)
        sinom = sin(Omega)
        R = array([
        [cosom,        sinom/wrzlk, 0.,           0.,           0., 0.],
        [-wrzlk*sinom, cosom,       0.,           0.,           0., 0.],
        [0.,            0.,         coshom,       sinhom/wrzlk, 0., 0.],
        [0.,            0.,         wrzlk*sinhom, coshom,       0., 0.],
        [0.,            0.,         0.,           0.,           1., L/(y**2)],
        [0.,            0.,         0.,           0.,           0., 1.]
        ])
    return R 

Example 2

def quadaf(ev, y):
    L = ev[1]      # length
    k = ev[4]      # quadrupole strength
    if k == 0:
        R = drift(ev, y)
    else:
        wrzlk = sqrt(abs(k))
        Omega = wrzlk*L
        coshom = cosh(Omega)
        sinhom = sinh(Omega)
        cosom = cos(Omega)
        sinom = sin(Omega)
        R = array([
        [coshom,       sinhom/wrzlk, 0.,           0.,          0., 0],
        [wrzlk*sinhom, coshom,       0.,           0.,          0., 0],
        [0.,           0.,           cosom,        sinom/wrzlk, 0., 0],
        [0.,           0.,           -wrzlk*sinom, cosom,       0., 0],
        [0.,           0.,           0.,           0.,          1., L/(y**2)],
        [0.,           0.,           0.,           0.,          0., 1.]
        ])
    return R 

Example 3

def redshift(self, age):
        """
        Invert the above ``self.age(z)`` formula analytically, to calculate
        the redshift corresponding to the given cosmic time (age).

        Parameters
        ----------
        age : `~numpy.ndarray`
            Age of the universe (i.e., cosmic time)
            Unit: [Gyr]

        Returns
        -------
        z : `~numpy.ndarray`
            Redshift corresponding to the specified age.
        """
        age = np.asarray(age)
        t_H = self.hubble_time
        term1 = (1/self.Om0) - 1
        term2 = np.sinh(3*age * np.sqrt(1-self.Om0) / (2*t_H)) ** 2
        z = (term1 / term2) ** (1/3) - 1
        return z 

Example 4

def _keplerian_to_keplerian_mean(cls, coord, center):
        """Conversion from Keplerian to Keplerian Mean

        The difference is the use of Mean anomaly instead of True anomaly
        """

        a, e, i, ?, ?, ? = coord
        if e < 1:
            # Elliptic case
            E = arccos((e + cos(?)) / (1 + e * cos(?)))  # Eccentric anomaly
            M = E - e * sin(E)  # Mean anomaly
        else:
            # Hyperbolic case
            H = arccosh((e + cos(?)) / (1 + e * cos(?)))
            M = e * sinh(H) - H

        return np.array([a, e, i, ?, ?, M], dtype=float) 

Example 5

def sinh(self, out=None):
        assert out is None
        return self.elemwise(np.sinh) 

Example 6

def Dm(self, z, cm=False, meter=False, pc=False, kpc=False, mpc=False):
        Ok  = self.Ok()
        sOk = num.sqrt(num.abs(Ok))
        Dc  = self.Dc(z)
        Dh  = self.Dh()

        conversion = self.lengthConversion(cm=cm, meter=meter, pc=pc, kpc=kpc, mpc=mpc)

        if Ok > 0:
            return Dh / sOk * num.sinh(sOk * Dc / Dh) * conversion
        elif Ok == 0:
            return Dc * conversion
        else:
            return Dh / sOk * num.sin(sOk * Dc / Dh) * conversion

    # Angular diameter distance
    # Ratio of an objects physical transvserse size to its angular size in radians 

Example 7

def test_basic_ufuncs(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
        assert_equal(np.cos(x), cos(xm))
        assert_equal(np.cosh(x), cosh(xm))
        assert_equal(np.sin(x), sin(xm))
        assert_equal(np.sinh(x), sinh(xm))
        assert_equal(np.tan(x), tan(xm))
        assert_equal(np.tanh(x), tanh(xm))
        assert_equal(np.sqrt(abs(x)), sqrt(xm))
        assert_equal(np.log(abs(x)), log(xm))
        assert_equal(np.log10(abs(x)), log10(xm))
        assert_equal(np.exp(x), exp(xm))
        assert_equal(np.arcsin(z), arcsin(zm))
        assert_equal(np.arccos(z), arccos(zm))
        assert_equal(np.arctan(z), arctan(zm))
        assert_equal(np.arctan2(x, y), arctan2(xm, ym))
        assert_equal(np.absolute(x), absolute(xm))
        assert_equal(np.angle(x + 1j*y), angle(xm + 1j*ym))
        assert_equal(np.angle(x + 1j*y, deg=True), angle(xm + 1j*ym, deg=True))
        assert_equal(np.equal(x, y), equal(xm, ym))
        assert_equal(np.not_equal(x, y), not_equal(xm, ym))
        assert_equal(np.less(x, y), less(xm, ym))
        assert_equal(np.greater(x, y), greater(xm, ym))
        assert_equal(np.less_equal(x, y), less_equal(xm, ym))
        assert_equal(np.greater_equal(x, y), greater_equal(xm, ym))
        assert_equal(np.conjugate(x), conjugate(xm)) 

Example 8

def test_testUfuncRegression(self):
        # Tests new ufuncs on MaskedArrays.
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  'floor', 'ceil',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor',
                  ]:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(numpy.ma.core, f)
            args = self.d[:uf.nin]
            ur = uf(*args)
            mr = mf(*args)
            assert_equal(ur.filled(0), mr.filled(0), f)
            assert_mask_equal(ur.mask, mr.mask, err_msg=f) 

Example 9

def test_testUfuncs1(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
        self.assertTrue(eq(np.cos(x), cos(xm)))
        self.assertTrue(eq(np.cosh(x), cosh(xm)))
        self.assertTrue(eq(np.sin(x), sin(xm)))
        self.assertTrue(eq(np.sinh(x), sinh(xm)))
        self.assertTrue(eq(np.tan(x), tan(xm)))
        self.assertTrue(eq(np.tanh(x), tanh(xm)))
        with np.errstate(divide='ignore', invalid='ignore'):
            self.assertTrue(eq(np.sqrt(abs(x)), sqrt(xm)))
            self.assertTrue(eq(np.log(abs(x)), log(xm)))
            self.assertTrue(eq(np.log10(abs(x)), log10(xm)))
        self.assertTrue(eq(np.exp(x), exp(xm)))
        self.assertTrue(eq(np.arcsin(z), arcsin(zm)))
        self.assertTrue(eq(np.arccos(z), arccos(zm)))
        self.assertTrue(eq(np.arctan(z), arctan(zm)))
        self.assertTrue(eq(np.arctan2(x, y), arctan2(xm, ym)))
        self.assertTrue(eq(np.absolute(x), absolute(xm)))
        self.assertTrue(eq(np.equal(x, y), equal(xm, ym)))
        self.assertTrue(eq(np.not_equal(x, y), not_equal(xm, ym)))
        self.assertTrue(eq(np.less(x, y), less(xm, ym)))
        self.assertTrue(eq(np.greater(x, y), greater(xm, ym)))
        self.assertTrue(eq(np.less_equal(x, y), less_equal(xm, ym)))
        self.assertTrue(eq(np.greater_equal(x, y), greater_equal(xm, ym)))
        self.assertTrue(eq(np.conjugate(x), conjugate(xm)))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, ym))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((x, y))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, y))))
        self.assertTrue(eq(np.concatenate((x, y, x)), concatenate((x, ym, x)))) 

Example 10

def test_testUfuncRegression(self):
        f_invalid_ignore = [
            'sqrt', 'arctanh', 'arcsin', 'arccos',
            'arccosh', 'arctanh', 'log', 'log10', 'divide',
            'true_divide', 'floor_divide', 'remainder', 'fmod']
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  'floor', 'ceil',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor']:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(np.ma, f)
            args = self.d[:uf.nin]
            with np.errstate():
                if f in f_invalid_ignore:
                    np.seterr(invalid='ignore')
                if f in ['arctanh', 'log', 'log10']:
                    np.seterr(divide='ignore')
                ur = uf(*args)
                mr = mf(*args)
            self.assertTrue(eq(ur.filled(0), mr.filled(0), f))
            self.assertTrue(eqmask(ur.mask, mr.mask)) 

Example 11

def sinh(x: Number = 0.0) -> Number:
    return np.sinh(x) 

Example 12

def bark2freq(b):
    return 650.*np.sinh(b/7.) 

Example 13

def bark2freq(b):
    return 650.*np.sinh(b/7.) 

Example 14

def bark2freq(b):
    return 650*np.sinh(b/7) 

Example 15

def Dn_plane(l, r, N=10):
    alpha = acosh(l/r)
    s = 0.
    for n in range(1, N):
        n = float(n)
        K = n*(n+1)/(2*n-1)/(2*n+3)
        s += K*((2*sinh((2*n+1)*alpha)+(2*n+1)*sinh(2*alpha))/(4*(sinh((n+.5)*alpha))**2-(2*n+1)**2*(sinh(alpha))**2) - 1)
    return 1./((4./3.)*sinh(alpha)*s) 

Example 16

def Dn_plane(l, r, N=20):
    alpha = np.arccosh(l/r)
    sinh = np.sinh
    s = 0.
    for n in range(1, N):
        n = float(n)
        K = n*(n+1)/(2*n-1)/(2*n+3)
        s += K*((2*sinh((2*n+1)*alpha)+(2*n+1)*sinh(2*alpha))/(4*(sinh((n+.5)*alpha))**2-(2*n+1)**2*(sinh(alpha))**2) - 1)
    return 1./((4./3.)*sinh(alpha)*s) 

Example 17

def Dn_plane(l, r, N=100):
    alpha = acosh(l/r)
    s = 0.
    for n in range(1, N):
        n = float(n)
        K = n*(n+1)/(2*n-1)/(2*n+3)
        s += K*((2*sinh((2*n+1)*alpha)+(2*n+1)*sinh(2*alpha))/(4*(sinh((n+.5)*alpha))**2-(2*n+1)**2*(sinh(alpha))**2) - 1)
    return 1./((4./3.)*sinh(alpha)*s) 

Example 18

def Dn_plane(l, r, N=100):
    alpha = acosh(l/r)
    s = 0.
    for n in range(1, N):
        n = float(n)
        K = n*(n+1)/(2*n-1)/(2*n+3)
        s += K*((2*sinh((2*n+1)*alpha)+(2*n+1)*sinh(2*alpha))/(4*(sinh((n+.5)*alpha))**2-(2*n+1)**2*(sinh(alpha))**2) - 1)
    return 1./((4./3.)*sinh(alpha)*s) 

Example 19

def sinh(v):
    return v.__class__(numpy.sinh(v)) 

Example 20

def cir_int_rt_chf(u, t, k, theta, sigma, r0):
    r = np.sqrt(k ** 2 - 1j * u * 2 * sigma ** 2)
    cosh_fun = np.cosh(r * t / 2)
    sinh_fun = np.sinh(r * t / 2)
    coth_fun = cosh_fun / sinh_fun
    a_t_v = np.exp(t * theta * (k ** 2) / (sigma ** 2)) / (cosh_fun + (k / r) * sinh_fun) ** (
        2 * k * theta / (sigma ** 2))
    b_t_v = 2 * 1j * u / (k + r * coth_fun)
    return a_t_v * np.exp(b_t_v * r0) 

Example 21

def test_basic_ufuncs(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
        assert_equal(np.cos(x), cos(xm))
        assert_equal(np.cosh(x), cosh(xm))
        assert_equal(np.sin(x), sin(xm))
        assert_equal(np.sinh(x), sinh(xm))
        assert_equal(np.tan(x), tan(xm))
        assert_equal(np.tanh(x), tanh(xm))
        assert_equal(np.sqrt(abs(x)), sqrt(xm))
        assert_equal(np.log(abs(x)), log(xm))
        assert_equal(np.log10(abs(x)), log10(xm))
        assert_equal(np.exp(x), exp(xm))
        assert_equal(np.arcsin(z), arcsin(zm))
        assert_equal(np.arccos(z), arccos(zm))
        assert_equal(np.arctan(z), arctan(zm))
        assert_equal(np.arctan2(x, y), arctan2(xm, ym))
        assert_equal(np.absolute(x), absolute(xm))
        assert_equal(np.angle(x + 1j*y), angle(xm + 1j*ym))
        assert_equal(np.angle(x + 1j*y, deg=True), angle(xm + 1j*ym, deg=True))
        assert_equal(np.equal(x, y), equal(xm, ym))
        assert_equal(np.not_equal(x, y), not_equal(xm, ym))
        assert_equal(np.less(x, y), less(xm, ym))
        assert_equal(np.greater(x, y), greater(xm, ym))
        assert_equal(np.less_equal(x, y), less_equal(xm, ym))
        assert_equal(np.greater_equal(x, y), greater_equal(xm, ym))
        assert_equal(np.conjugate(x), conjugate(xm)) 

Example 22

def test_testUfuncRegression(self):
        # Tests new ufuncs on MaskedArrays.
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  'floor', 'ceil',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor',
                  ]:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(numpy.ma.core, f)
            args = self.d[:uf.nin]
            ur = uf(*args)
            mr = mf(*args)
            assert_equal(ur.filled(0), mr.filled(0), f)
            assert_mask_equal(ur.mask, mr.mask, err_msg=f) 

Example 23

def test_testUfuncs1(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
        self.assertTrue(eq(np.cos(x), cos(xm)))
        self.assertTrue(eq(np.cosh(x), cosh(xm)))
        self.assertTrue(eq(np.sin(x), sin(xm)))
        self.assertTrue(eq(np.sinh(x), sinh(xm)))
        self.assertTrue(eq(np.tan(x), tan(xm)))
        self.assertTrue(eq(np.tanh(x), tanh(xm)))
        with np.errstate(divide='ignore', invalid='ignore'):
            self.assertTrue(eq(np.sqrt(abs(x)), sqrt(xm)))
            self.assertTrue(eq(np.log(abs(x)), log(xm)))
            self.assertTrue(eq(np.log10(abs(x)), log10(xm)))
        self.assertTrue(eq(np.exp(x), exp(xm)))
        self.assertTrue(eq(np.arcsin(z), arcsin(zm)))
        self.assertTrue(eq(np.arccos(z), arccos(zm)))
        self.assertTrue(eq(np.arctan(z), arctan(zm)))
        self.assertTrue(eq(np.arctan2(x, y), arctan2(xm, ym)))
        self.assertTrue(eq(np.absolute(x), absolute(xm)))
        self.assertTrue(eq(np.equal(x, y), equal(xm, ym)))
        self.assertTrue(eq(np.not_equal(x, y), not_equal(xm, ym)))
        self.assertTrue(eq(np.less(x, y), less(xm, ym)))
        self.assertTrue(eq(np.greater(x, y), greater(xm, ym)))
        self.assertTrue(eq(np.less_equal(x, y), less_equal(xm, ym)))
        self.assertTrue(eq(np.greater_equal(x, y), greater_equal(xm, ym)))
        self.assertTrue(eq(np.conjugate(x), conjugate(xm)))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, ym))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((x, y))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, y))))
        self.assertTrue(eq(np.concatenate((x, y, x)), concatenate((x, ym, x)))) 

Example 24

def test_testUfuncRegression(self):
        f_invalid_ignore = [
            'sqrt', 'arctanh', 'arcsin', 'arccos',
            'arccosh', 'arctanh', 'log', 'log10', 'divide',
            'true_divide', 'floor_divide', 'remainder', 'fmod']
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  'floor', 'ceil',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor']:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(np.ma, f)
            args = self.d[:uf.nin]
            with np.errstate():
                if f in f_invalid_ignore:
                    np.seterr(invalid='ignore')
                if f in ['arctanh', 'log', 'log10']:
                    np.seterr(divide='ignore')
                ur = uf(*args)
                mr = mf(*args)
            self.assertTrue(eq(ur.filled(0), mr.filled(0), f))
            self.assertTrue(eqmask(ur.mask, mr.mask)) 

Example 25

def comoving_transverse_distance(self, z_i, z_f):
        r"""
        When multiplied by some angle, the distance between two objects 
        observed at redshift, z_f, with an angular separation given by that 
        angle, viewed by an observer at redshift, z_i (Hogg 1999).

        Parameters
        ----------
        z_i : float
            The redshift of the observer.
        z_f : float
            The redshift of the observed object.

        Examples
        --------

        >>> from yt.utilities.cosmology import Cosmology
        >>> co = Cosmology()
        >>> print(co.comoving_transverse_distance(0., 1.).in_units("Mpccm"))
        
        """
        if (self.omega_curvature > 0):
            return (self.hubble_distance() / np.sqrt(self.omega_curvature) * 
                    np.sinh(np.sqrt(self.omega_curvature) * 
                            self.comoving_radial_distance(z_i, z_f) /
                            self.hubble_distance())).in_base(self.unit_system)
        elif (self.omega_curvature < 0):
            return (self.hubble_distance() /
                    np.sqrt(np.fabs(self.omega_curvature)) * 
                    np.sin(np.sqrt(np.fabs(self.omega_curvature)) * 
                           self.comoving_radial_distance(z_i, z_f) /
                           self.hubble_distance())).in_base(self.unit_system)
        else:
            return self.comoving_radial_distance(z_i, z_f) 

Example 26

def __init__(self, generator: Generator=Autoincrement()):
        super().__init__(numpy.sinh, generator) 

Example 27

def test_sinh():
    fun = lambda x : 3.0 * np.sinh(x)
    d_fun = grad(fun)
    check_grads(fun, npr.randn())
    check_grads(d_fun, npr.randn()) 

Example 28

def integrate_fip(p, v, z, dt, omega2):
    """
    Integrate the equation of motion of the Floating-base Inverted Pendulum.

    Parameters
    ----------
    p : array, shape=(3,)
        Initial position.
    v : array, shape=(3,)
        Initial velocity.
    z : array, shape=(3,)
        ZMP location throughout the integration.
    dt : scalar
        Integration step.
    omega2 : scalar
        FIP constant.

    Returns
    -------
    p_next : array, shape=(3,)
        Position at the end of the integration step.
    v_next : array, shape=(3,)
        Velocity at the end of the integration step.

    Note
    ----
    The Linear Inverted Pendulum Mode (LIPM) is a special case of the FIP, so
    this function also applies to COP-based controllers.
    """
    omega = sqrt(omega2)
    a = omega2 * (p - z) + gravity
    p_next = p + v / omega * sinh(omega * dt) \
        + a / omega2 * (cosh(omega * dt) - 1.)
    v_next = v * cosh(omega * dt) + a / omega * sinh(omega * dt)
    return p_next, v_next 

Example 29

def test_basic_ufuncs(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
        assert_equal(np.cos(x), cos(xm))
        assert_equal(np.cosh(x), cosh(xm))
        assert_equal(np.sin(x), sin(xm))
        assert_equal(np.sinh(x), sinh(xm))
        assert_equal(np.tan(x), tan(xm))
        assert_equal(np.tanh(x), tanh(xm))
        assert_equal(np.sqrt(abs(x)), sqrt(xm))
        assert_equal(np.log(abs(x)), log(xm))
        assert_equal(np.log10(abs(x)), log10(xm))
        assert_equal(np.exp(x), exp(xm))
        assert_equal(np.arcsin(z), arcsin(zm))
        assert_equal(np.arccos(z), arccos(zm))
        assert_equal(np.arctan(z), arctan(zm))
        assert_equal(np.arctan2(x, y), arctan2(xm, ym))
        assert_equal(np.absolute(x), absolute(xm))
        assert_equal(np.angle(x + 1j*y), angle(xm + 1j*ym))
        assert_equal(np.angle(x + 1j*y, deg=True), angle(xm + 1j*ym, deg=True))
        assert_equal(np.equal(x, y), equal(xm, ym))
        assert_equal(np.not_equal(x, y), not_equal(xm, ym))
        assert_equal(np.less(x, y), less(xm, ym))
        assert_equal(np.greater(x, y), greater(xm, ym))
        assert_equal(np.less_equal(x, y), less_equal(xm, ym))
        assert_equal(np.greater_equal(x, y), greater_equal(xm, ym))
        assert_equal(np.conjugate(x), conjugate(xm)) 

Example 30

def test_testUfuncRegression(self):
        # Tests new ufuncs on MaskedArrays.
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  # 'nonzero', 'around',
                  'floor', 'ceil',
                  # 'sometrue', 'alltrue',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor',
                  ]:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(numpy.ma.core, f)
            args = self.d[:uf.nin]
            ur = uf(*args)
            mr = mf(*args)
            assert_equal(ur.filled(0), mr.filled(0), f)
            assert_mask_equal(ur.mask, mr.mask, err_msg=f) 

Example 31

def test_testUfuncs1(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
        self.assertTrue(eq(np.cos(x), cos(xm)))
        self.assertTrue(eq(np.cosh(x), cosh(xm)))
        self.assertTrue(eq(np.sin(x), sin(xm)))
        self.assertTrue(eq(np.sinh(x), sinh(xm)))
        self.assertTrue(eq(np.tan(x), tan(xm)))
        self.assertTrue(eq(np.tanh(x), tanh(xm)))
        with np.errstate(divide='ignore', invalid='ignore'):
            self.assertTrue(eq(np.sqrt(abs(x)), sqrt(xm)))
            self.assertTrue(eq(np.log(abs(x)), log(xm)))
            self.assertTrue(eq(np.log10(abs(x)), log10(xm)))
        self.assertTrue(eq(np.exp(x), exp(xm)))
        self.assertTrue(eq(np.arcsin(z), arcsin(zm)))
        self.assertTrue(eq(np.arccos(z), arccos(zm)))
        self.assertTrue(eq(np.arctan(z), arctan(zm)))
        self.assertTrue(eq(np.arctan2(x, y), arctan2(xm, ym)))
        self.assertTrue(eq(np.absolute(x), absolute(xm)))
        self.assertTrue(eq(np.equal(x, y), equal(xm, ym)))
        self.assertTrue(eq(np.not_equal(x, y), not_equal(xm, ym)))
        self.assertTrue(eq(np.less(x, y), less(xm, ym)))
        self.assertTrue(eq(np.greater(x, y), greater(xm, ym)))
        self.assertTrue(eq(np.less_equal(x, y), less_equal(xm, ym)))
        self.assertTrue(eq(np.greater_equal(x, y), greater_equal(xm, ym)))
        self.assertTrue(eq(np.conjugate(x), conjugate(xm)))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, ym))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((x, y))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, y))))
        self.assertTrue(eq(np.concatenate((x, y, x)), concatenate((x, ym, x)))) 

Example 32

def test_testUfuncRegression(self):
        f_invalid_ignore = [
            'sqrt', 'arctanh', 'arcsin', 'arccos',
            'arccosh', 'arctanh', 'log', 'log10', 'divide',
            'true_divide', 'floor_divide', 'remainder', 'fmod']
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  # 'nonzero', 'around',
                  'floor', 'ceil',
                  # 'sometrue', 'alltrue',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor']:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(np.ma, f)
            args = self.d[:uf.nin]
            with np.errstate():
                if f in f_invalid_ignore:
                    np.seterr(invalid='ignore')
                if f in ['arctanh', 'log', 'log10']:
                    np.seterr(divide='ignore')
                ur = uf(*args)
                mr = mf(*args)
            self.assertTrue(eq(ur.filled(0), mr.filled(0), f))
            self.assertTrue(eqmask(ur.mask, mr.mask)) 

Example 33

def test_basic_ufuncs(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
        assert_equal(np.cos(x), cos(xm))
        assert_equal(np.cosh(x), cosh(xm))
        assert_equal(np.sin(x), sin(xm))
        assert_equal(np.sinh(x), sinh(xm))
        assert_equal(np.tan(x), tan(xm))
        assert_equal(np.tanh(x), tanh(xm))
        assert_equal(np.sqrt(abs(x)), sqrt(xm))
        assert_equal(np.log(abs(x)), log(xm))
        assert_equal(np.log10(abs(x)), log10(xm))
        assert_equal(np.exp(x), exp(xm))
        assert_equal(np.arcsin(z), arcsin(zm))
        assert_equal(np.arccos(z), arccos(zm))
        assert_equal(np.arctan(z), arctan(zm))
        assert_equal(np.arctan2(x, y), arctan2(xm, ym))
        assert_equal(np.absolute(x), absolute(xm))
        assert_equal(np.angle(x + 1j*y), angle(xm + 1j*ym))
        assert_equal(np.angle(x + 1j*y, deg=True), angle(xm + 1j*ym, deg=True))
        assert_equal(np.equal(x, y), equal(xm, ym))
        assert_equal(np.not_equal(x, y), not_equal(xm, ym))
        assert_equal(np.less(x, y), less(xm, ym))
        assert_equal(np.greater(x, y), greater(xm, ym))
        assert_equal(np.less_equal(x, y), less_equal(xm, ym))
        assert_equal(np.greater_equal(x, y), greater_equal(xm, ym))
        assert_equal(np.conjugate(x), conjugate(xm)) 

Example 34

def test_testUfuncRegression(self):
        # Tests new ufuncs on MaskedArrays.
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  # 'nonzero', 'around',
                  'floor', 'ceil',
                  # 'sometrue', 'alltrue',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor',
                  ]:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(numpy.ma.core, f)
            args = self.d[:uf.nin]
            ur = uf(*args)
            mr = mf(*args)
            assert_equal(ur.filled(0), mr.filled(0), f)
            assert_mask_equal(ur.mask, mr.mask, err_msg=f) 

Example 35

def test_testUfuncs1(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
        self.assertTrue(eq(np.cos(x), cos(xm)))
        self.assertTrue(eq(np.cosh(x), cosh(xm)))
        self.assertTrue(eq(np.sin(x), sin(xm)))
        self.assertTrue(eq(np.sinh(x), sinh(xm)))
        self.assertTrue(eq(np.tan(x), tan(xm)))
        self.assertTrue(eq(np.tanh(x), tanh(xm)))
        with np.errstate(divide='ignore', invalid='ignore'):
            self.assertTrue(eq(np.sqrt(abs(x)), sqrt(xm)))
            self.assertTrue(eq(np.log(abs(x)), log(xm)))
            self.assertTrue(eq(np.log10(abs(x)), log10(xm)))
        self.assertTrue(eq(np.exp(x), exp(xm)))
        self.assertTrue(eq(np.arcsin(z), arcsin(zm)))
        self.assertTrue(eq(np.arccos(z), arccos(zm)))
        self.assertTrue(eq(np.arctan(z), arctan(zm)))
        self.assertTrue(eq(np.arctan2(x, y), arctan2(xm, ym)))
        self.assertTrue(eq(np.absolute(x), absolute(xm)))
        self.assertTrue(eq(np.equal(x, y), equal(xm, ym)))
        self.assertTrue(eq(np.not_equal(x, y), not_equal(xm, ym)))
        self.assertTrue(eq(np.less(x, y), less(xm, ym)))
        self.assertTrue(eq(np.greater(x, y), greater(xm, ym)))
        self.assertTrue(eq(np.less_equal(x, y), less_equal(xm, ym)))
        self.assertTrue(eq(np.greater_equal(x, y), greater_equal(xm, ym)))
        self.assertTrue(eq(np.conjugate(x), conjugate(xm)))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, ym))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((x, y))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, y))))
        self.assertTrue(eq(np.concatenate((x, y, x)), concatenate((x, ym, x)))) 

Example 36

def test_testUfuncRegression(self):
        f_invalid_ignore = [
            'sqrt', 'arctanh', 'arcsin', 'arccos',
            'arccosh', 'arctanh', 'log', 'log10', 'divide',
            'true_divide', 'floor_divide', 'remainder', 'fmod']
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  # 'nonzero', 'around',
                  'floor', 'ceil',
                  # 'sometrue', 'alltrue',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor']:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(np.ma, f)
            args = self.d[:uf.nin]
            with np.errstate():
                if f in f_invalid_ignore:
                    np.seterr(invalid='ignore')
                if f in ['arctanh', 'log', 'log10']:
                    np.seterr(divide='ignore')
                ur = uf(*args)
                mr = mf(*args)
            self.assertTrue(eq(ur.filled(0), mr.filled(0), f))
            self.assertTrue(eqmask(ur.mask, mr.mask)) 

Example 37

def bark2hz(self, Brk):
        """ Method to compute Hz from Bark scale.
        Args     :
            Brk  : (ndarray)    Array containing Bark scaled values.
        Returns  :
            Fhz  : (ndarray)    Array containing frequencies in Hz.
        """
        Fhz = 650. * np.sinh(Brk/7.)

        return Fhz 

Example 38

def sinh(self):
        out = copy.copy(self)
        out.surface = np.sinh(out.surface)
        return out 

Example 39

def analyticParitionFunctionValue(self, temperatureInKelvin):
        "Canonical Partition Function Value for this Hamiltonian"
        thermalEnergy = self.mySpace.unitHandler.BOLTZMANNS_CONSTANT_JOULES_PER_KELVIN * temperatureInKelvin
        thermalEnergy = self.mySpace.unitHandler.energyUnitsFromJoules(thermalEnergy)
        partitionEnergy = self.mySpace.hbar * self.omega * (.5)
        return 0.5 * math.sinh(partitionEnergy / thermalEnergy)**-1.0 

Example 40

def fun_scalar_scalar(self, x):
        return np.sinh(x) 

Example 41

def _f1(self, z):
        """
        Calculate function f1 from Hellstrom (1991)
        """
        f1 = np.exp(self._beta*z)*(np.cosh(self._gamma*z)
                                   - self._delta*np.sinh(self._gamma*z))
        return f1 

Example 42

def _f2(self, z):
        """
        Calculate function f2 from Hellstrom (1991)
        """
        f2 = np.exp(self._beta*z)*self._beta12/self._gamma \
            * np.sinh(self._gamma*z)
        return f2 

Example 43

def _f3(self, z):
        """
        Calculate function f3 from Hellstrom (1991)
        """
        f3 = np.exp(self._beta*z)*(np.cosh(self._gamma*z)
                                   + self._delta*np.sinh(self._gamma*z))
        return f3 

Example 44

def _f4(self, z):
        """
        Calculate function f4 from Hellstrom (1991)
        """
        A = self._delta*self._beta1 + self._beta2*self._beta12/self._gamma
        f4 = np.exp(self._beta*z) \
            * (self._beta1*np.cosh(self._gamma*z) - A*np.sinh(self._gamma*z))
        return f4 

Example 45

def _f5(self, z):
        """
        Calculate function f5 from Hellstrom (1991)
        """
        B = self._delta*self._beta2 + self._beta1*self._beta12/self._gamma
        f5 = np.exp(self._beta*z) \
            * (self._beta2*np.cosh(self._gamma*z) + B*np.sinh(self._gamma*z))
        return f5 

Example 46

def _F5(self, z):
        """
        Calculate integral of function f5 from Hellstrom (1991)
        """
        B = self._delta*self._beta2 + self._beta1*self._beta12/self._gamma
        C = self._beta2*self._beta - B*self._gamma
        S = - (self._beta2*self._gamma - self._beta*B)
        denom = (self._beta**2 - self._gamma**2)
        F5 = np.exp(self._beta*z) / denom \
            * (C*np.cosh(self._gamma*z) + S*np.sinh(self._gamma*z))
        return F5 

Example 47

def test_basic_ufuncs(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf) = self.d
        assert_equal(np.cos(x), cos(xm))
        assert_equal(np.cosh(x), cosh(xm))
        assert_equal(np.sin(x), sin(xm))
        assert_equal(np.sinh(x), sinh(xm))
        assert_equal(np.tan(x), tan(xm))
        assert_equal(np.tanh(x), tanh(xm))
        assert_equal(np.sqrt(abs(x)), sqrt(xm))
        assert_equal(np.log(abs(x)), log(xm))
        assert_equal(np.log10(abs(x)), log10(xm))
        assert_equal(np.exp(x), exp(xm))
        assert_equal(np.arcsin(z), arcsin(zm))
        assert_equal(np.arccos(z), arccos(zm))
        assert_equal(np.arctan(z), arctan(zm))
        assert_equal(np.arctan2(x, y), arctan2(xm, ym))
        assert_equal(np.absolute(x), absolute(xm))
        assert_equal(np.angle(x + 1j*y), angle(xm + 1j*ym))
        assert_equal(np.angle(x + 1j*y, deg=True), angle(xm + 1j*ym, deg=True))
        assert_equal(np.equal(x, y), equal(xm, ym))
        assert_equal(np.not_equal(x, y), not_equal(xm, ym))
        assert_equal(np.less(x, y), less(xm, ym))
        assert_equal(np.greater(x, y), greater(xm, ym))
        assert_equal(np.less_equal(x, y), less_equal(xm, ym))
        assert_equal(np.greater_equal(x, y), greater_equal(xm, ym))
        assert_equal(np.conjugate(x), conjugate(xm)) 

Example 48

def test_testUfuncRegression(self):
        # Tests new ufuncs on MaskedArrays.
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  'floor', 'ceil',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor',
                  ]:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(numpy.ma.core, f)
            args = self.d[:uf.nin]
            ur = uf(*args)
            mr = mf(*args)
            assert_equal(ur.filled(0), mr.filled(0), f)
            assert_mask_equal(ur.mask, mr.mask, err_msg=f) 

Example 49

def test_testUfuncs1(self):
        # Test various functions such as sin, cos.
        (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
        self.assertTrue(eq(np.cos(x), cos(xm)))
        self.assertTrue(eq(np.cosh(x), cosh(xm)))
        self.assertTrue(eq(np.sin(x), sin(xm)))
        self.assertTrue(eq(np.sinh(x), sinh(xm)))
        self.assertTrue(eq(np.tan(x), tan(xm)))
        self.assertTrue(eq(np.tanh(x), tanh(xm)))
        with np.errstate(divide='ignore', invalid='ignore'):
            self.assertTrue(eq(np.sqrt(abs(x)), sqrt(xm)))
            self.assertTrue(eq(np.log(abs(x)), log(xm)))
            self.assertTrue(eq(np.log10(abs(x)), log10(xm)))
        self.assertTrue(eq(np.exp(x), exp(xm)))
        self.assertTrue(eq(np.arcsin(z), arcsin(zm)))
        self.assertTrue(eq(np.arccos(z), arccos(zm)))
        self.assertTrue(eq(np.arctan(z), arctan(zm)))
        self.assertTrue(eq(np.arctan2(x, y), arctan2(xm, ym)))
        self.assertTrue(eq(np.absolute(x), absolute(xm)))
        self.assertTrue(eq(np.equal(x, y), equal(xm, ym)))
        self.assertTrue(eq(np.not_equal(x, y), not_equal(xm, ym)))
        self.assertTrue(eq(np.less(x, y), less(xm, ym)))
        self.assertTrue(eq(np.greater(x, y), greater(xm, ym)))
        self.assertTrue(eq(np.less_equal(x, y), less_equal(xm, ym)))
        self.assertTrue(eq(np.greater_equal(x, y), greater_equal(xm, ym)))
        self.assertTrue(eq(np.conjugate(x), conjugate(xm)))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, ym))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((x, y))))
        self.assertTrue(eq(np.concatenate((x, y)), concatenate((xm, y))))
        self.assertTrue(eq(np.concatenate((x, y, x)), concatenate((x, ym, x)))) 

Example 50

def test_testUfuncRegression(self):
        f_invalid_ignore = [
            'sqrt', 'arctanh', 'arcsin', 'arccos',
            'arccosh', 'arctanh', 'log', 'log10', 'divide',
            'true_divide', 'floor_divide', 'remainder', 'fmod']
        for f in ['sqrt', 'log', 'log10', 'exp', 'conjugate',
                  'sin', 'cos', 'tan',
                  'arcsin', 'arccos', 'arctan',
                  'sinh', 'cosh', 'tanh',
                  'arcsinh',
                  'arccosh',
                  'arctanh',
                  'absolute', 'fabs', 'negative',
                  'floor', 'ceil',
                  'logical_not',
                  'add', 'subtract', 'multiply',
                  'divide', 'true_divide', 'floor_divide',
                  'remainder', 'fmod', 'hypot', 'arctan2',
                  'equal', 'not_equal', 'less_equal', 'greater_equal',
                  'less', 'greater',
                  'logical_and', 'logical_or', 'logical_xor']:
            try:
                uf = getattr(umath, f)
            except AttributeError:
                uf = getattr(fromnumeric, f)
            mf = getattr(np.ma, f)
            args = self.d[:uf.nin]
            with np.errstate():
                if f in f_invalid_ignore:
                    np.seterr(invalid='ignore')
                if f in ['arctanh', 'log', 'log10']:
                    np.seterr(divide='ignore')
                ur = uf(*args)
                mr = mf(*args)
            self.assertTrue(eq(ur.filled(0), mr.filled(0), f))
            self.assertTrue(eqmask(ur.mask, mr.mask)) 
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