# gsw_t_from_rho_exact

`in-situ temperature from density`

## USAGE:

`[t, t_multiple] = gsw_t_from_rho_exact(rho,SA,p)`

## DESCRIPTION:

```Calculates the in-situ temperature of a seawater sample, for given
values of its density, Absolute Salinity and sea pressure (in dbar).``` ```Click for a more detailed description of calculating in-situ temperature 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'.
SA  =  Absolute Salinity                                        [ g/kg ]
p   =  sea pressure                                             [ dbar ]
( i.e. absolute pressure - 10.1325 dbar )```
```rho & SA need to have the same dimensions.
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where rho & SA are MxN.```

## OUTPUT:

```t   =  in-situ temperature (ITS-90)                            [ deg C ]
t_multiple  =  in-situ temperature (ITS-90)                    [ deg C ]
Note that at low salinities, in brackish water, there are two possible
temperatures for a single density.  This programme will output both
valid solutions.  To see this second solution the user must call the
programme with two outputs (i.e. [t, t_multiple]), if there is only
one possible solution and the programme has been called with two
outputs the second variable will be set to NaN.```

## EXAMPLE:

```rho = [1021.8484; 1022.2647; 1024.4207; 1027.7841; 1029.8287; 1031.9916;]
SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
p =  [     10;      50;     125;     250;     600;    1000;]```
`[t, t_multiple] = gsw_t_from_rho_exact(rho,SA,p)`
`t =`
```  28.760866806849798
28.426820412666761
22.834628310010174
10.294318375673690
6.946306842217355
4.484889255629902```
`t_multiple =`
```   NaN
NaN
NaN
NaN
NaN
NaN```

## 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 sections 3.1 and 3.3 of this TEOS-10 Manual.```
`The software is available from http://www.TEOS-10.org`