# gsw_SA_from_rho_CT_exact

    Absolute Salinity from density

## Contents

- USAGE:
- DESCRIPTION:
- INPUT:
- OUTPUT:
- EXAMPLE:
- AUTHOR:
- VERSION NUMBER:
- REFERENCES:

## USAGE:

    SA = gsw_SA_from_rho_CT_exact(rho,CT,p)

## DESCRIPTION:

    Calculates the Absolute Salinity of a seawater sample, for given values
    of its density, Conservative Temperature and sea pressure (in dbar).

    Note that this function uses the full Gibbs function.  There is an
    alternative to calling this function, namely gsw_SA_from_rho_CT(rho,CT,p),
    which uses the computationally-efficient 48-term expression for density
    in terms of SA, CT and p (McDougall et al., 2013).

    Click for a more detailed description of calculating the
    Absolute Salinty from density.

## INPUT:

    rho =  density of a seawater sample (e.g. 1026 kg/m^3)        [ kg/m^3 ]
       Note. This input has not had 1000 kg/m^3 subtracted from it.
         That is, it is 'density', not 'density anomaly'.
    CT  =  Conservative Temperature (ITS-90)                       [ deg C ]
    p   =  sea pressure                                             [ dbar ]
           ( i.e. absolute pressure - 10.1325 dbar )

    p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA is MxN.

## OUTPUT:

    SA  =  Absolute Salinity                                        [ g/kg ]

## EXAMPLE:

    rho = [1021.8482; 1022.2647; 1024.4207; 1027.7841; 1029.8287; 1031.9916;]
    CT =  [  28.7856;   28.4329;   22.8103;   10.2600;    6.8863;    4.4036;]
    p =   [       10;        50;       125;       250;       600;      1000;]

    SA = gsw_SA_from_rho_CT_exact(rho,CT,p)

    SA =

      34.711744962132940
      34.891394519876442
      35.025512596134583
      34.847096950195713
      34.736476658622792
      34.732297140137263

## AUTHOR:

    Trevor McDougall & Paul Barker                      [ help@teos-10.org ]

## VERSION NUMBER:

    3.02 (17th November, 2012)

## REFERENCES:

    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.  Available from the TEOS-10 web site.
      See section 3.42 of this TEOS-10 Manual.

    McDougall T.J., P.M. Barker, R. Feistel and D.R. Jackett, 2013:  A
     computationally efficient 48-term expression for the density of
     seawater in terms of Conservative Temperature, and related properties
     of seawater.  To be submitted to J. Atm. Ocean. Technol., xx, yyy-zzz.

    The software is available from http://www.TEOS-10.org