# gsw_SA_from_rho_CT_exact

`Absolute Salinity from density`

## 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(rho,CT,p),
which uses the computationally-efficient 75-term expression for specific
volume in terms of SA, CT and p (Roquet et al., 2015).``` ```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:

`3.05 (16th February, 2015)`

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