Download or view curveFitTest.frink in plain text format
use curveFit.frink
/** This performs tests on the file curveFit.frink which tries to fit data
to linear and quadratic curves.
*/
// Linear data
data = [ [0, 1], [1, 3], [2, 5] ]
printFit[data]
// Test to verify that units of measure can be fitted correctly.
// THIS EXAMPLE IS ACTUALLY AMAZING!
// It derives the gravitic equation given just 3 points on a curve of
// time and height (and none of those points are forced to be zero, nor are
// the initial height, nor the initial velocity.) It derives the initial
// velocity at t=0, the acceleration of gravity, and the initial height at t=0
// given 3 points on the trajectory of an object.
// This is incredibly impressive.
// To generate points, see the Frink solver at:
// tinyurl.com/2p8pntcd
// This represents the [time, height] data of a projectile being launched from
// an initial height of 2 meters at t=0 s and an initial upward velocity of
// 40 m/s at t = 0 s:
data = [ [1 s, 32.19335 m], [2 s, 42.7734 m], [4.1 s, 1.1502135 m] ]
printFit[data]
// This is the above but with heights rounded to the nearest 0.1 m.
// data = [ [1 s, 32.2 m], [2 s, 42.8 m], [4.1 s, 1.2 m] ]
// printFit[data]
// This demonstrates a purely symbolic result!
symbolicMode[true]
data = [ [x1, y1], [x2, y2], [x3, y3] ]
printFit[data]
printFit[data] :=
{
println["\n\nFor data: "]
println[formatTableBoxed[data]]
println["linear: " + inputForm[linearFit[data]]]
f = linearFitFunction[data]
println["\nlinear function: " + inputForm[f]]
println["\nquadratic: " + inputForm[quadraticFit[data]]]
f = quadraticFitFunction[data]
println["\nquadratic function: " + inputForm[f]]
}
Download or view curveFitTest.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 19973 days, 1 hours, 24 minutes ago.