# set terminal pngcairo transparent enhanced fontscale 1.0 size 600, 400 # set output 'fit.10.png' set key bmargin center horizontal Right noreverse enhanced autotitle nobox set style increment default set title "pseudo-3d multi-branch fit to velocity data" set xrange [ * : * ] noreverse writeback set x2range [ * : * ] noreverse writeback set yrange [ * : * ] noreverse writeback set y2range [ * : * ] noreverse writeback set zrange [ * : * ] noreverse writeback set cbrange [ * : * ] noreverse writeback set rrange [ * : * ] noreverse writeback set fit nologfile brief errorvariables nocovariancevariables errorscaling noprescale nowrap v5 l(x) = y0 + m*x high(x) = mh*(x-Tc) + dens_Tc lowlin(x) = ml*(x-Tc) + dens_Tc curve(x) = b*tanh(g*(Tc-x)) density(x) = x < Tc ? curve(x)+lowlin(x) : high(x) h(x,y) = sqrt(r*r - (abs(x-x0))**2.2 - (abs(y-y0))**1.8) + z0 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))) f(x,y) = y==1 ? vlong(x) : vtrans(x) myencoding = "utf8" y0 = 0.2 m = -0.000943519626924529 FIT_CONVERGED = 1 FIT_NDF = 144 FIT_STDFIT = 23.3781402254248 FIT_WSSR = 78701.3914175458 FIT_P = 0.0 FIT_NITER = 5 y0_err = 0.000473544839517863 m_err = 3.15383626024729e-05 FIT_COV_y0_y0 = 2.20240170189915e-06 FIT_COV_m_y0 = -4.67890413749725e-08 FIT_COV_y0_m = -4.67890413749725e-08 FIT_COV_m_m = 9.9466831564506e-10 ml = -0.00103152542276233 mh = -0.0008340717673769 dens_Tc = 1.02499621370905 Tc = 46.0665367045608 g = 6.92493866108287 b = 0.00139548391000006 ml_err = 1.62623230565094e-05 mh_err = 3.737890801507e-06 dens_Tc_err = 7.27819513635249e-06 Tc_err = 0.00159887430059728 g_err = 0.429342070879149 b_err = 5.81804522574664e-05 r = 0.5 x0 = 0.1 z0 = 0.3 r_err = 0.000364063036513251 x0_err = 0.000392881045327825 z0_err = 0.00152588271554302 rho = 1000.0 phi0 = -0.399583044082585 c11 = 5.49004711383962 c33 = 12.5887439344521 c44 = 0.701948193955625 c13 = 3.9987462502991 c33_err = 0.0289801535929099 c11_err = 0.0184617784279728 c44_err = 0.00975525275149821 c13_err = 0.0317741160706964 phi0_err = 0.130010043059991 ## Last datafile plotted: "soundvel.dat" plot 'soundvel.dat', vlong(x), vtrans(x) ## fit f(x,y) 'soundvel.dat' using 1:-2:2 via 'sound.par'