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Run results for: Root finding using the FloPoly JavaScript library.

Root finding using the FloPoly JavaScript library for various degree polynomials with varying number of roots.

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Run details:
Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/60.0.3112.113 Safari/537.36
Chrome 60
Windows
Other
7 years ago
Test name Executions per second
Cubic polynomials with 3 real roots 1317.0 Ops/sec
Cubic polynomials with flat random coefficients 13375.7 Ops/sec
Degree 4 polynomials with 4 real roots 512.5 Ops/sec
Degree 4 polynomials with flat random coefficients 1866.8 Ops/sec
Degree 7 polynomials with 7 real roots 132.9 Ops/sec
Degree 7 polynomials with flat random coefficients 395.9 Ops/sec
Degree 12 polynomials with 12 real roots 37.1 Ops/sec
Deg 12 polynomials with flat random coefficients 124.3 Ops/sec
HTML Preparation code:
AخA
 
1
<script src="https://mat-demo.appspot.com/bower_components/flo-poly/dist/flo-poly.js"></script>
Script Preparation code:
​x
 
var { evaluate, allRoots, hornerErrorBound } = FloPoly;
var { flatRootsArr, flatCoefficientsArr } = FloPoly.random;
​
const orders = [3,4,7,12,15];
var pssRealRootsOnly = [
    // Flat random distribution of roots in [-10,10]
    flatRootsArr(100, orders[0], -10, 10, 11111),
    flatRootsArr(100, orders[1], -10, 10, 22222),
    flatRootsArr(100, orders[2], -10, 10, 33333),
    flatRootsArr(100, orders[3], -10, 10, 44444),
    flatRootsArr(100, orders[4], -10, 10, 55555),
];
var pssRandomCoefficients = [
    // Flat random distribution of coefficients in [-10,10]
    flatCoefficientsArr(100, orders[0], -10, 10, 66666),
    flatCoefficientsArr(100, orders[1], -10, 10, 77777),
    flatCoefficientsArr(100, orders[2], -10, 10, 88888),
    flatCoefficientsArr(100, orders[3], -10, 10, 99999),
    flatCoefficientsArr(100, orders[4], -10, 10, 12121),
];
Tests:

  • 100 cubic polynomials with 3 real roots

     
    for (let i=0; i<pssRealRootsOnly[0].length; i++) {
        var p = pssRealRootsOnly[0][i];
        var roots = allRoots(p);
    }

  • 100 cubic polynomials with random coefficients

     
    for (let i=0; i<pssRandomCoefficients[0].length; i++) {
        var p = pssRandomCoefficients[0][i];
        var roots = allRoots(p);
    }

  • 100 degree 4 polynomials with 4 real roots

     
    for (let i=0; i<pssRealRootsOnly[1].length; i++) {
        var p = pssRealRootsOnly[1][i];
        var roots = allRoots(p);
    }

  • 100 degree 4 polynomials with random coefficients

     
    for (let i=0; i<pssRandomCoefficients[1].length; i++) {
        var p = pssRandomCoefficients[1][i];
        var roots = allRoots(p);
    }

  • 100 degree 7 polynomials with 7 real roots

     
    for (let i=0; i<pssRealRootsOnly[2].length; i++) {
        var p = pssRealRootsOnly[2][i];
        var roots = allRoots(p);
    }

  • 100 degree 7 polynomials with random coefficients

     
    for (let i=0; i<pssRandomCoefficients[2].length; i++) {
        var p = pssRandomCoefficients[2][i];
        var roots = allRoots(p);
    }

  • 100 degree 12 polynomials with 12 real roots

     
    for (let i=0; i<pssRealRootsOnly[3].length; i++) {
        var p = pssRealRootsOnly[3][i];
        var roots = allRoots(p);
    }

  • 100 deg 12 polynomials with random coefficients

     
    for (let i=0; i<pssRandomCoefficients[3].length; i++) {
        var p = pssRandomCoefficients[3][i];
        var roots = allRoots(p);
    }

  • 100 degree 15 polynomials with 15 real roots

     
    for (let i=0; i<pssRealRootsOnly[4].length; i++) {
        var p = pssRealRootsOnly[4][i];
        var roots = allRoots(p);
    }

  • 100 deg 15 polynomials with random coefficients

     
    for (let i=0; i<pssRandomCoefficients[4].length; i++) {
        var p = pssRandomCoefficients[4][i];
        var roots = allRoots(p);
    }