def alpha_CT_exact(SA, CT, p):
r"""Calculates the thermal expansion coefficient of seawater with respect
to Conservative Temperature from Absolute Salinity and Conservative
Temperature.
Parameters
----------
SA : array_like
Absolute salinity [g kg :sup:`-1`]
CT : array_like
Conservative Temperature [:math:`^\circ` C (ITS-90)]
p : array_like
pressure [dbar]
Returns
-------
alpha_CT_exact : array_like
thermal expansion coefficient [K :sup:`-1`]
with respect to Conservative Temperature
See Also
--------
TODO
Notes
-----
This function uses the full Gibbs function. There is an alternative to
calling this function, namely alpha_wrt_CT(SA, CT, p) which uses the
computationally efficient 48-term expression for density in terms of SA,
CT and p (McDougall et al., (2011)).
Examples
--------
TODO
References
----------
.. [1] IOC, SCOR and IAPSO, 2010: The international thermodynamic equation
of seawater - 2010: Calculation and use of thermodynamic properties.
Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
UNESCO (English), 196 pp. See Eqn. (2.18.3).
.. [2] McDougall T.J., P.M. Barker, R. Feistel and D.R. Jackett, 2011: A
computationally efficient 48-term expression for the density of
seawater in terms of Conservative Temperature, and related properties
of seawater.
Modifications:
2011-03-23. David Jackett, Trevor McDougall and Paul Barker.
"""
t = t_from_CT(SA, CT, p)
return alpha_wrt_CT_t_exact(SA, t, p)
def rho_alpha_beta_CT_exact(SA, CT, p):
r"""Calculates in-situ density, the appropriate thermal expansion
coefficient and the appropriate saline contraction coefficient of seawater
from Absolute Salinity and Conservative Temperature.
See the individual functions rho_CT_exact, alpha_CT_exact, and
beta_CT_exact. Retained for compatibility with the Matlab GSW toolbox.
"""
t = t_from_CT(SA, CT, p)
rho_CT_exact = rho_t_exact(SA, t, p)
alpha_CT_exact = alpha_wrt_CT_t_exact(SA, t, p)
beta_CT_exact = beta_const_CT_t_exact(SA, t, p)
return rho_CT_exact, alpha_CT_exact, beta_CT_exact
