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-<?php
-
-require_once "../Matrix.php";
-
-/**
- * Given n points (x0,y0)...(xn-1,yn-1), the following method computes
- * the polynomial factors of the n-1't degree polynomial passing through
- * the n points.
- *
- * Example: Passing in three points (2,3) (1,4) and (3,7) will produce
- * the results [2.5, -8.5, 10] which means that the points are on the
- * curve y = 2.5x² - 8.5x + 10.
- *
- * @see http://geosoft.no/software/lagrange/LagrangeInterpolation.java.html
- * @see http://source.freehep.org/jcvsweb/ilc/LCSIM/wdview/lcsim/src/org/lcsim/fit/polynomial/PolynomialFitter.java
- * @author Jacob Dreyer
- * @author Paul Meagher (port to PHP and minor changes)
- *
- * @param x[] float
- * @param y[] float
- */
-class LagrangeInterpolation {
-
- public function findPolynomialFactors($x, $y) {
- $n = count($x);
-
- $data = array(); // double[n][n];
- $rhs = array(); // double[n];
-
- for ($i = 0; $i < $n; ++$i) {
- $v = 1;
- for ($j = 0; $j < $n; ++$j) {
- $data[$i][$n-$j-1] = $v;
- $v *= $x[$i];
- }
- $rhs[$i] = $y[$i];
- }
-
- // Solve m * s = b
- $m = new Matrix($data);
- $b = new Matrix($rhs, $n);
-
- $s = $m->solve($b);
-
- return $s->getRowPackedCopy();
- } // function findPolynomialFactors()
-
-} // class LagrangeInterpolation
-
-
-$x = array(2.0, 1.0, 3.0);
-$y = array(3.0, 4.0, 7.0);
-
-$li = new LagrangeInterpolation;
-$f = $li->findPolynomialFactors($x, $y);
-
-for ($i = 0; $i < 3; ++$i) {
- echo $f[$i]."<br />";
-}