ILIAS  release_5-4 Revision v5.4.26-12-gabc799a52e6
ExponentialBestFit.php
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1 <?php
2 
4 
6 {
13  protected $bestFitType = 'exponential';
14 
22  public function getValueOfYForX($xValue)
23  {
24  return $this->getIntersect() * $this->getSlope() ** ($xValue - $this->xOffset);
25  }
26 
34  public function getValueOfXForY($yValue)
35  {
36  return log(($yValue + $this->yOffset) / $this->getIntersect()) / log($this->getSlope());
37  }
38 
46  public function getEquation($dp = 0)
47  {
48  $slope = $this->getSlope($dp);
49  $intersect = $this->getIntersect($dp);
50 
51  return 'Y = ' . $intersect . ' * ' . $slope . '^X';
52  }
53 
61  public function getSlope($dp = 0)
62  {
63  if ($dp != 0) {
64  return round(exp($this->slope), $dp);
65  }
66 
67  return exp($this->slope);
68  }
69 
77  public function getIntersect($dp = 0)
78  {
79  if ($dp != 0) {
80  return round(exp($this->intersect), $dp);
81  }
82 
83  return exp($this->intersect);
84  }
85 
92  private function exponentialRegression(array $yValues, array $xValues, bool $const): void
93  {
94  $adjustedYValues = array_map(
95  function ($value) {
96  return ($value < 0.0) ? 0 - log(abs($value)) : log($value);
97  },
98  $yValues
99  );
100 
101  $this->leastSquareFit($adjustedYValues, $xValues, $const);
102  }
103 
111  public function __construct($yValues, $xValues = [], $const = true)
112  {
113  parent::__construct($yValues, $xValues);
114 
115  if (!$this->error) {
116  $this->exponentialRegression($yValues, $xValues, (bool) $const);
117  }
118  }
119 }
getValueOfYForX($xValue)
Return the Y-Value for a specified value of X.
getIntersect($dp=0)
Return the Value of X where it intersects Y = 0.
getEquation($dp=0)
Return the Equation of the best-fit line.
__construct($yValues, $xValues=[], $const =true)
Define the regression and calculate the goodness of fit for a set of X and Y data values...
exponentialRegression(array $yValues, array $xValues, bool $const)
Execute the regression and calculate the goodness of fit for a set of X and Y data values...
getValueOfXForY($yValue)
Return the X-Value for a specified value of Y.
leastSquareFit(array $yValues, array $xValues, bool $const)
Definition: BestFit.php:405