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jsplinter.js
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jsplinter.js
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var observationsMatrix = new Matrix({
target: document.querySelector('observationsMatrix'),
data: {
headings: ['x', 'y'],
matrix: math.matrix([[-0.1, 1], [1, 3], [2.5, 2]]),
editable: true,
tmp: [{value:null, validity:false}, {value:null, validity:false}]
},
});
var deltaInput = new Input({
target: document.querySelector('deltaInput'),
data: {
description: 'Interval: ',
minimum: 1,
step: 1,
value: 1
},
});
var smoothnessInput = new Input({
target: document.querySelector('smoothnessInput'),
data: {
description: 'Smoothness: ',
minimum: 0,
step: 0.01,
value: 0.01
},
});
var designMatrix = new Matrix({
target: document.querySelector('designMatrix'),
data: {
headings: [],
matrix: math.matrix([]),
editable: false
},
});
var estimatedVector = new Matrix({
target: document.querySelector('estimatedVector'),
data: {
headings: ['Spline', 'Coefficient'],
matrix: math.matrix([]),
editable: false
},
});
function interpolation() {
var matrix = observationsMatrix.get('matrix');
var xVector = math.multiply(matrix, [1, 0]);
var delta = deltaInput.get('value');
var xMin = math.floor(math.min(xVector)/delta)*delta;
var xMax = math.ceil(math.max(xVector)/delta)*delta;
var aIndex = math.range(xMin, xMax, delta, true);
var a = math.zeros(matrix.size()[0], aIndex.size()[0]);
xVector.toArray().forEach((item, index) => {
var weight = (math.ceil(item)-item)/delta;
if (item > xMin) {
a.set([index, math.ceil(item/delta)-xMin/delta-1], weight);
}
a.set([index, math.ceil(item/delta)-xMin/delta], 1-weight);
});
designMatrix.set({
headings: aIndex.toArray(),
matrix: a,
editable: false,
});
var yVector = math.multiply(matrix, [0, 1]);
var aTranspose = math.transpose(a);
var smoothness = smoothnessInput.get('value');
var nMatrix = math.multiply(aTranspose, a);
if ((math.det(nMatrix) < 0.01) && (smoothness < 0.01)) {
smoothnessInput.set({'minimum':0.01, 'value':0.01});
return;
} else if (smoothnessInput.get('minimum') > 0) {
smoothnessInput.set({'minimum':0});
}
var whiteNoise = math.dotMultiply(smoothness, math.eye(aIndex.size()[0]));
var aestimated = math.multiply(math.multiply(math.inv(math.add(nMatrix, whiteNoise)), aTranspose), yVector);
estimatedVector.set({
matrix:math.matrix(math.transpose([aIndex.toArray(), aestimated.toArray()]))
});
}
observationsMatrix.observe('matrix', interpolation);
deltaInput.observe('value', interpolation);
smoothnessInput.observe('value', interpolation);
var chart = new Chart('graph', {
type: 'line',
data: {
datasets: [{
label: 'Input',
fill: false,
showLine: false,
borderColor: 'red',
lineTension: 0
}, {
label: 'Interpolation',
fill: false,
lineTension: 0
}]
},
options: {
scales: {
xAxes: [{
type: 'linear',
position: 'bottom'
}]
}
}
});
function arrayToMap(item) {
return {x:item[0], y:item[1]};
}
function draw() {
var array = observationsMatrix.get('matrix').toArray();
chart.data.datasets[0].data = array.map(arrayToMap);
array = estimatedVector.get('matrix').toArray();
array.sort(function (a, b) {return a[0]-b[0]});
array.splice(0, 0, [array[0][0]-1, 0]);
array.push([array[array.length-1][0]+1, 0]);
chart.data.datasets[1].data = array.map(arrayToMap);
chart.update();
}
estimatedVector.observe('matrix', draw);