Exemplo n.º 1
0
def _pfromz_MA(z, lapse_rate, P_bott, T_bott, z_bott):
    """Pressure given altitude in a constant lapse rate layer.

    The dry gas constant is used in calculations requiring the gas
    constant.  See the docstring for press2alt for references.

    Input Arguments:
    * z:  Geopotential altitude [m].
    * lapse_rate:  -dT/dz [K/m] over the layer.
    * P_bott:  Pressure [hPa] at the base of the layer.
    * T_bott:  Temperature [K] at the base of the layer.
    * z_bott:  Geopotential altitude [m] of the base of the layer.

    Output:
    * Pressure [hPa] for each element given in the input arguments.

    All input arguments can be either a scalar or an MA array.  All 
    arguments that are MA arrays, however, are of the same size and 
    shape.  If every input argument is a scalar, the output is a scalar.  
    If any of the input arguments is an MA array, the output is an MA 
    array of the same size and shape.
    """
    #jfp was import Numeric as N
    import numpy as N
    #jfp was import MA
    import numpy.ma as MA
    from atmconst import AtmConst

    const = AtmConst()

    if MA.size(lapse_rate) == 1:
        #jfp was if MA.array(lapse_rate)[0] == 0.0:
        if MA.array(lapse_rate) == 0.0:
            return P_bott * \
                   MA.exp( -const.g / (const.R_d*T_bott) * (z-z_bott) )
        else:
            exponent = const.g / (const.R_d * lapse_rate)
            return P_bott * \
                   ( (1.0 - (lapse_rate * (z-z_bott) / T_bott))**exponent )
    else:
        exponent = const.g / (const.R_d * lapse_rate)
        P = P_bott * \
            ( (1.0 - (lapse_rate * (z-z_bott) / T_bott))**exponent )
        P_at_0 = P_bott * \
                 MA.exp( -const.g / (const.R_d*T_bott) * (z-z_bott) )

        zero_lapse_mask = MA.filled(MA.where(lapse_rate == 0., 1, 0), 0)
        zero_lapse_mask_indices_flat = N.nonzero(N.ravel(zero_lapse_mask))
        P_flat = MA.ravel(P)
        MA.put( P_flat, zero_lapse_mask_indices_flat \
              , MA.take(MA.ravel(P_at_0), zero_lapse_mask_indices_flat) )
        return MA.reshape(P_flat, P.shape)
Exemplo n.º 2
0
def _zfromp_MA(P, lapse_rate, P_bott, T_bott, z_bott):
    """Altitude given pressure in a constant lapse rate layer.

    The dry gas constant is used in calculations requiring the gas
    constant.  See the docstring for press2alt for references.

    Input Arguments:
    * P:  Pressure [hPa].
    * lapse_rate:  -dT/dz [K/m] over the layer.
    * P_bott:  Pressure [hPa] at the base of the layer.
    * T_bott:  Temperature [K] at the base of the layer.
    * z_bott:  Geopotential altitude [m] of the base of the layer.

    Output:
    * Altitude [m] for each element given in the input arguments.

    All input arguments can be either a scalar or an MA array.  All 
    arguments that are MA arrays, however, are of the same size and 
    shape.  If every input argument is a scalar, the output is a scalar.
    If any of the input arguments is an MA array, the output is an MA 
    array of the same size and shape.
    """
    import numpy as N
    #jfp was import Numeric as N
    import numpy.ma as MA
    #jfp was import MA
    from atmconst import AtmConst

    const = AtmConst()

    if MA.size(lapse_rate) == 1:
        if MA.array(lapse_rate)[0] == 0.0:
            return ( (-const.R_d * T_bott / const.g) * MA.log(P/P_bott) ) + \
                   z_bott
        else:
            exponent = (const.R_d * lapse_rate) / const.g
            return ((T_bott / lapse_rate) * (1. - (P/P_bott)**exponent)) + \
                   z_bott
    else:
        exponent = (const.R_d * lapse_rate) / const.g
        z = ((T_bott / lapse_rate) * (1. - (P/P_bott)**exponent)) + z_bott
        z_at_0 = ( (-const.R_d * T_bott / const.g) * MA.log(P/P_bott) ) + \
                 z_bott

        zero_lapse_mask = MA.filled(MA.where(lapse_rate == 0., 1, 0), 0)
        zero_lapse_mask_indices_flat = N.nonzero(N.ravel(zero_lapse_mask))
        z_flat = MA.ravel(z)
        MA.put( z_flat, zero_lapse_mask_indices_flat \
              , MA.take(MA.ravel(z_at_0), zero_lapse_mask_indices_flat) )
        return MA.reshape(z_flat, z.shape)
Exemplo n.º 3
0
 def test_testMaPut(self):
     (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
     m = [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1]
     i = np.nonzero(m)[0]
     put(ym, i, zm)
     assert_(all(take(ym, i, axis=0) == zm))
Exemplo n.º 4
0
 def test_testMaPut(self):
     (x, y, a10, m1, m2, xm, ym, z, zm, xf, s) = self.d
     m = [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1]
     i = np.nonzero(m)[0]
     put(ym, i, zm)
     assert_(all(take(ym, i, axis=0) == zm))