Lagrange interpolation, show term: Difference between revisions
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var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -6], axis: true}); | var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -6], axis: true}); | ||
var | var points = []; | ||
points[0] = board.create('point', [-1,2], {size:4}); | |||
points[1] = board.create('point', [3,-1], {size:4}); | |||
var f = JXG.Math.Numerics.lagrangePolynomial( | var f = JXG.Math.Numerics.lagrangePolynomial(points); | ||
var graph = board.create('functiongraph', [f,-10, 10], {strokeWidth:3}); | var graph = board.create('functiongraph', [f, -10, 10], {strokeWidth:3}); | ||
var d1 = board.create('functiongraph', [JXG.Math.Numerics.D(f), -10, 10], {dash:1}); | var d1 = board.create('functiongraph', [JXG.Math.Numerics.D(f), -10, 10], {dash:1}); | ||
function addPoint() { | function addPoint() { | ||
points.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size:4})); | |||
board.update(); | board.update(); | ||
} | } | ||
function removePoint() { | function removePoint() { | ||
console.log("X", | console.log("X", points); | ||
if ( | if (points.Length > 2) { | ||
board.removeObject( | board.removeObject(points[points.Length - 1]); | ||
points.pop(); | |||
} | } | ||
//board.update(); | //board.update(); | ||
Revision as of 06:54, 4 October 2022
Constructs a polynomial of degree [math]\displaystyle{ n }[/math] through [math]\displaystyle{ n+1 }[/math] given points. Points can be added by clicking on "Add point". The dotted line is the graph of the first derivative, the dashed line is the graph of the second derivative.
References
The underlying JavaScript code
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -6], axis: true});
var p = [];
p[0] = board.create('point', [-1,2], {size:4});
p[1] = board.create('point', [3,-1], {size:4});
var f = JXG.Math.Numerics.lagrangePolynomial(p);
var graph = board.create('functiongraph', [f,-10, 10], {strokeWidth:3});
var d1 = board.create('functiongraph', [JXG.Math.Numerics.D(f), -10, 10], {dash:1});
function addPoint() {
p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size:4}));
board.update();
}
