Download or view Brix.frink in plain text format
// Conversion from specific gravity to/from Brix and other scales.
// This uses the equation developed by J. Hackbarth (2011), which is based on
// the AOAC Brix tables (Horwitz and Latimer, 2005), to convert from Brix to
// specific gravity.
//
// The Brix scale is virtually identical to the Balling and Plato scales.
//
// See:
// http://web2.airmail.net/sgross/fermcalc/fermcalc_conversions.html
//
// TODO: Correct for hydrometer temperature. See:
// http://web2.airmail.net/sgross/fermcalc/fermcalc_alcohol.html
class Brix
{
class var coeffs = [1, +0.3875135555, +0.09702881653, +0.3883357480,
-1.782845295, +5.591472292, -11.00667976, +13.62230734,
-10.33082001, +4.387787019, -0.7995558730]
// Convert a Brix value, expressed as a dimensionless number, to a
// specific gravity (which is a dimensionless number comparing the density
// of the liquid to that of water.)
class BrixToSG[brix is dimensionless] :=
{
sg = 1
bp = brix/100
for k=1 to 10
sg = sg + coeffs@k bp^k
return sg
}
// Convert a specific gravity, expressed as a dimensionless number, to a
// Brix value (returned as a dimensionless number.)
// This inverts the BrixToSG calculation using the secant method.
// (Note that this could now just call secant.frink's method
// inverseSecant.)
class SGToBrix[sg is dimensionless] :=
{
// Estimation function taken from
// http://en.wikipedia.org/wiki/Brix#Tables
brix1 = 261.3 (1 - 1/sg)
brix2 = 261.3 (1 - 1/(sg+0.00001))
sg1 = BrixToSG[brix1]
sg2 = BrixToSG[brix2]
while (true)
{
invSlope = (brix2-brix1)/(sg2 - sg1)
bnew = brix1 + (sg - sg1) invSlope
sgnew = BrixToSG[bnew]
if abs[sgnew - sg] < 1e-8
return bnew
sg2 = sg1
sg1 = sgnew
brix2 = brix1
brix1 = bnew
}
}
}
Download or view Brix.frink in plain text format
This is a program written in the programming language Frink.
For more information, view the Frink
Documentation or see More Sample Frink Programs.
Alan Eliasen was born 19971 days, 0 hours, 8 minutes ago.