Thanks guys,
Here I was thinking that my explanation was stellar
I'll post an FC example when I get home.
What I am trying to do is implement NIST coefficients for K-type thermocouples
Snippet from their website:
************************************
* This section contains coefficients for type K thermocouples for
* the two subranges of temperature listed below. The coefficients
* are in units of °C and mV and are listed in the order of constant
* term up to the highest order. The equation below 0 °C is of the form
* E = sum(i=0 to n) c_i t^i.
*
* The equation above 0 °C is of the form
* E = sum(i=0 to n) c_i t^i + a0 exp(a1 (t - a2)^2).
*
* Temperature Range (°C)
* -270.000 to 0.000
* 0.000 to 1372.000
************************************
name: reference function on ITS-90
type: K
temperature units: °C
emf units: mV
range: -270.000, 0.000, 10
0.000000000000E+00
0.394501280250E-01
0.236223735980E-04
-0.328589067840E-06
-0.499048287770E-08
-0.675090591730E-10
-0.574103274280E-12
-0.310888728940E-14
-0.104516093650E-16
-0.198892668780E-19
-0.163226974860E-22
range: 0.000, 1372.000, 9
-0.176004136860E-01
0.389212049750E-01
0.185587700320E-04
-0.994575928740E-07
0.318409457190E-09
-0.560728448890E-12
0.560750590590E-15
-0.320207200030E-18
0.971511471520E-22
-0.121047212750E-25
exponential:
a0 = 0.118597600000E+00
a1 = -0.118343200000E-03
a2 = 0.126968600000E+03
************************************
* This section contains coefficients of approximate inverse
* functions for type K thermocouples for the subranges of
* temperature and voltage listed below. The range of errors of
* the approximate inverse function for each subrange is also given.
* The coefficients are in units of °C and mV and are listed in
* the order of constant term up to the highest order.
* The equation is of the form t_90 = d_0 + d_1*E + d_2*E^2 + ...
* + d_n*E^n,
* where E is in mV and t_90 is in °C.
*
* Temperature Voltage Error
* range range range
* (°C) (mV) (° C)
* -200. to 0. -5.891 to 0.000 -0.02 to 0.04
* 0. to 500. 0.000 to 20.644 -0.05 to 0.04
* 500. to 1372. 20.644 to 54.886 -0.05 to 0.06
********************************************************
Inverse coefficients for type K:
Temperature -200. 0. 500.
Range: 0. 500. 1372.
Voltage -5.891 0.000 20.644
Range: 0.000 20.644 54.886
0.0000000E+00 0.000000E+00 -1.318058E+02
2.5173462E+01 2.508355E+01 4.830222E+01
-1.1662878E+00 7.860106E-02 -1.646031E+00
-1.0833638E+00 -2.503131E-01 5.464731E-02
-8.9773540E-01 8.315270E-02 -9.650715E-04
-3.7342377E-01 -1.228034E-02 8.802193E-06
-8.6632643E-02 9.804036E-04 -3.110810E-08
-1.0450598E-02 -4.413030E-05 0.000000E+00
-5.1920577E-04 1.057734E-06 0.000000E+00
0.0000000E+00 -1.052755E-08 0.000000E+00
Error -0.02 -0.05 -0.05
Range: 0.04 0.04 0.06
