--- /dev/null
+#
+# Use this function to fit sound velocity data as function of
+# sound propagation direction, indicated by its angle against the
+# z-axis of an hexagonal symmetry coordinate system
+#
+# Adjustable parameters:
+#
+# c33, c11, c13, c44 elastic moduli - materials constants
+# phi0 angle offset
+#
+# HBB 970522: factored out common factor 1e9 from c?? into the
+# function, to improve the fit convergence. Fit parameters were
+# just too grossly different before.
+
+rho = 1000.0 # density in kg/m3
+
+phi(x) = (x - phi0)/360.0*2.0*pi
+
+main(x) = c11*sin(phi(x))**2 + c33*cos(phi(x))**2 + c44
+mixed(x) = sqrt( ((c11-c44)*sin(phi(x))**2 \
+ +(c44-c33)*cos(phi(x))**2)**2 \
+ +(2.0*(c13+c44)*sin(phi(x))*cos(phi(x)))**2 )
+
+vlong(x) = sqrt(1.0/2.0/rho*1e9*(main(x) + mixed(x)))
+vtrans(x) = sqrt(1.0/2.0/rho*1e9*(main(x) - mixed(x)))
+
+# When we read the file in, we set y=index, and we use
+# y in this (pseudo) 3d fit to choose an x function
+
+f(x,y) = y==1 ? vlong(x) : vtrans(x)