File Source for polyfit.php

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# Source for file polyfit.php

Documentation is available at polyfit.php

1. <?php
2. require_once "../Matrix.php";
3. /*
4. * @package JAMA
5. * @author Michael Bommarito
6. * @author Paul Meagher
7. * @version 0.1
8. *
9. * Function to fit an order n polynomial function through
10. * a series of x-y data points using least squares.
11. *
12. * @param $X array x values
13. * @param $Y array y values
14. * @param $n int order of polynomial to be used for fitting
15. * @returns array $coeffs of polynomial coefficients
16. * Pre-Conditions: the system is not underdetermined: sizeof($X) > $n+1
17. */
18. function polyfit($X, $Y, $n) {
19. for ($i = 0; $i < sizeof($X); ++$i)
20. for ($j = 0; $j <= $n; ++$j)
21. $A[$i][$j] = pow($X[$i], $j);
22. for ($i=0; $i < sizeof($Y); ++$i)
23. $B[$i] = array($Y[$i]);
24. $matrixA = new Matrix($A);
25. $matrixB = new Matrix($B);
26. $C = $matrixA->solve($matrixB);
27. return $C->getMatrix(0, $n, 0, 1);
28. }
30. function printpoly( $C = null ) {
31. for($i = $C->m - 1; $i >= 0; --$i) {
32. $r = $C->get($i, 0);
33. if ( abs($r) <= pow(10, -9) )
34. $r = 0;
35. if ($i == $C->m - 1)
36. echo $r . "x<sup>$i</sup>";
37. else if ($i < $C->m - 1)
38. echo " + " . $r . "x<sup>$i</sup>";
39. else if ($i == 0)
40. echo " + " . $r;
41. }
42. }
44. $X = array(0,1,2,3,4,5);
45. $Y = array(4,3,12,67,228, 579);
46. $points = new Matrix(array($X, $Y));
47. $points->toHTML();
48. printpoly( polyfit($X, $Y, 4));
50. echo '<hr />';
52. $X = array(0,1,2,3,4,5);
53. $Y = array(1,2,5,10,17, 26);
54. $points = new Matrix(array($X, $Y));
55. $points->toHTML();
56. printpoly( polyfit($X, $Y, 2));
58. echo '<hr />';
60. $X = array(0,1,2,3,4,5,6);
61. $Y = array(-90,-104,-178,-252,-26, 1160, 4446);
62. $points = new Matrix(array($X, $Y));
63. $points->toHTML();
64. printpoly( polyfit($X, $Y, 5));
66. echo '<hr />';
68. $X = array(0,1,2,3,4);
69. $Y = array( mt_rand(0, 10), mt_rand(40, 80), mt_rand(240, 400), mt_rand(1800, 2215), mt_rand(8000, 9000));
70. $points = new Matrix(array($X, $Y));
71. $points->toHTML();
72. printpoly( polyfit($X, $Y, 3));
73. ?>

Documentation generated on Sun, 27 Feb 2011 16:33:27 -0800 by phpDocumentor 1.4.3