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<?php |
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namespace HuasoFoundries\Histogram; |
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/** |
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* Class to generate 3D histograms from bi-dimensional numeric |
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* arrays. |
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* |
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* Originally this class was part of NumPHP (Numeric PHP package) |
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* |
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* @author Jesus M. Castagnetto <[email protected]> |
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* @version 0.9.1beta |
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* @access public |
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* @package Math_Histogram |
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*/ |
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class Histogram3D extends AbstractHistogram |
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{ |
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/** |
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* Constructor for Math_Histogram3D |
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* |
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* @access public |
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* @param optional int $type one of HISTOGRAM_SIMPLE or HISTOGRAM_CUMMULATIVE |
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* @param optional array $binOptions an array of options for binning the data |
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* @return object Math_Histogram3D |
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* |
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* @see setBinOptions() |
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* @see Math_AbstractHistogram::setType() |
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* @see Math_AbstractHistogram |
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*/ |
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public function __construct($type = self::HISTOGRAM_SIMPLE, $binOptions = "") |
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{ |
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$this->setType($type); |
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try { |
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$this->setBinOptions($binOptions); |
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} catch (\PEAR_Exception $e) { |
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// Falling back to default options |
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} |
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} |
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/** |
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* Sets the binning options. Overrides parent's method. |
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* |
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* @access public |
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* @param array $binOptions an array of options for binning the data |
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* @return void |
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*/ |
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public function setBinOptions($binOptions) |
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{ |
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if ($this->_validBinOptions($binOptions)) { |
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return parent::setBinOptions($binOptions); |
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} else { |
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throw new \PEAR_Exception("incorrect options array"); |
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} |
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} |
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/** |
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* Sets the data to be processed. The data will be validated to |
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* be a simple bi-dimensional numerical array |
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* |
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* @access public |
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* @param array $data the numeric array |
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* @return mixed boolean true on success, a \PEAR_Error object otherwise |
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* |
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* @see _clear() |
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* @see Math_AbstractHistogram::getData() |
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* @see Math_AbstractHistogram |
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* @see getHistogramData() |
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*/ |
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public function setData($data) |
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{ |
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$this->_clear(); |
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if (!$this->_validData($data)) { |
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throw new \PEAR_Exception("array of numeric coordinates expected"); |
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} |
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$this->_data = $data; |
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list($xMin, $xMax) = $this->_getMinMax('x'); |
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list($yMin, $yMax) = $this->_getMinMax('y'); |
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if (is_null($this->_rangeLow)) { |
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$this->_rangeLow = array('x' => $xMin, 'y' => $yMin); |
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} |
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if (is_null($this->_rangeHigh)) { |
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$this->_rangeHigh = array('x' => $xMax, 'y' => $yMax); |
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} |
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if (is_null($this->_nbins)) { |
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$this->_nbins = array('x' => 10, 'y' => 10); |
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} |
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return true; |
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} |
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/** |
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* Calculates the histogram bins and frequencies |
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* |
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* @access public |
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* @param optional $statsMode calculate basic statistics (STATS_BASIC) or full (STATS_FULL) |
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* @return mixed boolean true on success, a \PEAR_Error object otherwise |
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* |
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* @see Math_Stats |
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*/ |
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public function calculate($statsMode = \HuasoFoundries\Math\Stats::STATS_BASIC) |
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{ |
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$this->_bins = array(); |
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$this->_stats = array('x' => new \HuasoFoundries\Math\Stats(), 'y' => new \HuasoFoundries\Math\Stats()); |
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$this->_statsMode = $statsMode; |
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$deltaX = ($this->_rangeHigh['x'] - $this->_rangeLow['x']) / $this->_nbins['x']; |
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$deltaY = ($this->_rangeHigh['y'] - $this->_rangeLow['y']) / $this->_nbins['y']; |
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$data = $this->_histogramData(); |
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//$dataX = $this->_data['x']; |
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//$dataY = $this->_data['y']; |
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$dataX = $data['x']; |
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$dataY = $data['y']; |
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$ignoreList = array(); |
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$cumm = 0; |
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$nData = count($dataX); |
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for ($i = 0; $i < $this->_nbins['x']; $i++) { |
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$loXBin = $this->_rangeLow['x'] + $i * $deltaX; |
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$hiXBin = $loXBin + $deltaX; |
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$xBin = array('low' => $loXBin, 'high' => $hiXBin, |
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'mid' => ($hiXBin + $loXBin) / 2); |
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for ($j = 0; $j < $this->_nbins['y']; $j++) { |
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$loYBin = $this->_rangeLow['y'] + $j * $deltaY; |
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$hiYBin = $loYBin + $deltaY; |
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$yBin = array('low' => $loYBin, 'high' => $hiYBin, |
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'mid' => ($hiYBin + $loYBin) / 2); |
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$bin = array('x' => $xBin, 'y' => $yBin); |
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$freq = 0; |
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for ($k = 0; $k < $nData; $k++) { |
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if (!empty($ignoreList) && in_array($k, $ignoreList)) { |
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continue; |
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} |
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$valueX = $dataX[$k]; |
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$valueY = $dataY[$k]; |
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$inRangeX = $inRangeY = false; |
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if ($i == 0) { |
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$inRangeX = ($loXBin <= $valueX && $hiXBin >= $valueX); |
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} else { |
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$inRangeX = ($loXBin < $valueX && $hiXBin >= $valueX); |
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} |
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if ($j == 0) { |
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$inRangeY = ($loYBin <= $valueY && $hiYBin >= $valueY); |
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} else { |
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$inRangeY = ($loYBin < $valueY && $hiYBin >= $valueY); |
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} |
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if ($inRangeX && $inRangeY) { |
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$freq++; |
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$cumm++; |
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$ignoreList[] = $k; |
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} |
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} |
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if ($this->_type == self::HISTOGRAM_CUMMULATIVE) { |
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if ($freq > 0) { |
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$bin['count'] = $freq + $cumm - 1; |
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} else { |
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$bin['count'] = 0; |
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} |
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} else { |
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$bin['count'] = $freq; |
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} |
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$bin['xbin'] = $i; |
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$bin['ybin'] = $j; |
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$this->_bins[] = $bin; |
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} |
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} |
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} |
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/** |
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* Returns the statistics for the data set |
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* |
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* @access public |
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* @return mixed an associative array on success, a \PEAR_Error object otherwise |
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*/ |
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public function getDataStats() |
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{ |
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if (empty($this->_bins)) { |
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throw new \PEAR_Exception("histogram has not been calculated"); |
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} |
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$this->_stats['x']->setData($this->_data['x']); |
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$this->_stats['y']->setData($this->_data['y']); |
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return array('x' => $this->_stats['x']->calc($this->_statsMode), |
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'y' => $this->_stats['y']->calc($this->_statsMode)); |
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} |
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/** |
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* Returns the statistics for the data set, filtered using the bin ranges |
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* |
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* @access public |
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* @return mixed an associative array on success, a \PEAR_Error object otherwise |
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*/ |
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public function getHistogramDataStats() |
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{ |
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if (empty($this->_bins)) { |
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throw new \PEAR_Exception("histogram has not been calculated"); |
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} |
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$data = $this->_histogramData(); |
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$this->_stats['x']->setData($data['x']); |
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$this->_stats['y']->setData($data['y']); |
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return array('x' => $this->_stats['x']->calc($this->_statsMode), |
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'y' => $this->_stats['y']->calc($this->_statsMode)); |
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} |
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/** |
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* Returns the bins and frequencies calculated using the given |
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* bin mode and separator |
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* |
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* @access public |
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* @param int $mode one of HISTOGRAM_LO_BINS, HISTOGRAM_MID_BINS (default), or HISTOGRAM_HI_BINS |
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* @param string $separator the separator, default ", " |
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* @return mixed a string on success, a \PEAR_Error object otherwise |
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*/ |
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public function toSeparated($mode = self::HISTOGRAM_MID_BINS, $separator = ", ") |
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{ |
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try { |
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$bins = $this->getBins($mode); |
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} catch (\PEAR_Exception $e) { |
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return $bins; |
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} |
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$nbins = count($bins); |
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$out = array("# x_bin{$separator}y_bin{$separator}frequency"); |
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for ($i = 0; $i < $nbins; $i++) { |
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$out[] = implode($separator, $bins[$i]); |
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} |
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return implode("\n", $out) . "\n"; |
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} |
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238
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/** |
239
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* Returns the minimum and maximum of the given unidimensional numeric |
240
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* array |
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* |
242
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* @access private |
243
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* @param array $elem |
244
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* @return array of values: array(min, max) |
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*/ |
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public function _getMinMax($elem) |
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{ |
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return array(min($this->_data[$elem]), max($this->_data[$elem])); |
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} |
250
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251
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/** |
252
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* Returns a subset of the bins array by bin value type |
253
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* |
254
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* @access private |
255
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* @param int $mode one of HISTOGRAM_MID_BINS, HISTOGRAM_LO_BINS or HISTOGRAM_HI_BINS |
256
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* @return array |
257
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*/ |
258
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public function _filterBins($mode) |
259
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{ |
260
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$map = array( |
261
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self::HISTOGRAM_MID_BINS => "mid", |
262
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self::HISTOGRAM_LO_BINS => "low", |
263
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self::HISTOGRAM_HI_BINS => "high", |
264
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); |
265
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$filtered = array(); |
266
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foreach ($this->_bins as $bin) { |
267
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$tmp['x'] = $bin['x'][$map[$mode]]; |
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$tmp['y'] = $bin['y'][$map[$mode]]; |
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$tmp['count'] = $bin['count']; |
270
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$filtered[] = $tmp; |
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271
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} |
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return $filtered; |
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} |
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275
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/** |
276
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* Checks that the array of options passed is valid |
277
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* Options array should have the form: |
278
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* |
279
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* $opt = array ('low'=>array('x'=>10, 'y'=>10), |
280
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* 'high'=>array(...), |
281
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* 'nbins'=>array(...)); |
282
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* |
283
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* @access private |
284
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* @return boolean |
285
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*/ |
286
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public function _validBinOptions($binOptions) |
287
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{ |
288
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$barray = (is_array($binOptions) |
289
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&& is_array($binOptions['low']) |
290
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&& is_array($binOptions['high']) |
291
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&& is_array($binOptions['nbins'])); |
292
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if (!$barray) { |
293
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return false; |
294
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} |
295
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$low = $binOptions['low']; |
296
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$high = $binOptions['high']; |
297
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$nbins = $binOptions['nbins']; |
298
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$blow = (isset($low['x']) && isset($low['y']) |
299
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&& is_numeric($low['x']) && is_numeric($low['y'])); |
300
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$bhigh = (isset($high['x']) && isset($high['y']) |
301
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&& is_numeric($high['x']) && is_numeric($high['y'])); |
302
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$bnbins = (isset($nbins['x']) && isset($nbins['y']) |
303
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&& is_numeric($nbins['x']) && is_numeric($nbins['y'])); |
304
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return ($blow && $bhigh && $bnbins); |
305
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} |
306
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307
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/** |
308
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* Checks that the data passed is bi-dimensional numeric array |
309
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* of the form: |
310
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* |
311
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* $data = array ('x'=>array(...), 'y'=>array(...)); |
312
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* |
313
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* It also checks that: count($data['x']) == count($data['y']) |
314
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* |
315
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* @access private |
316
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* @return boolean |
317
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*/ |
318
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public function _validData($data) |
319
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{ |
320
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if (is_array($data) && is_array($data['x']) && is_array($data['y'])) { |
321
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$n = count($data['x']); |
322
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if (count($data) == 2 && $n == count($data['y'])) { |
323
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for ($i = 0; $i < $n; $i++) { |
324
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if (!is_numeric($data['x'][$i]) || !is_numeric($data['y'][$i])) { |
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return false; |
326
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} |
327
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} |
328
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329
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// if everything checks out |
330
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return true; |
331
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} else { |
332
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return false; |
333
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} |
334
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} else { |
335
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return false; |
336
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} |
337
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} |
338
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|
339
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/** |
340
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* Returns an array of data contained within the ranges for the |
341
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* histogram calculation. Overrides the empty implementation in |
342
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* Math_AbstractHistogram::_histogramData() |
343
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* |
344
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* @access private |
345
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* @return array |
346
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*/ |
347
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public function _histogramData() |
348
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{ |
349
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if ($this->_rangeLow['x'] == min($this->_data['x']) |
350
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&& $this->_rangeHigh['x'] == max($this->_data['x']) |
351
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&& $this->_rangeLow['y'] == min($this->_data['y']) |
352
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|
|
&& $this->_rangeHigh['y'] == max($this->_data['y'])) { |
353
|
|
|
return $this->_data; |
354
|
|
|
} |
355
|
|
|
|
356
|
|
|
$data = array(); |
357
|
|
|
$ndata = count($this->_data['x']); |
358
|
|
|
for ($i = 0; $i < $ndata; $i++) { |
359
|
|
|
$x = $this->_data['x'][$i]; |
360
|
|
|
$y = $this->_data['y'][$i]; |
361
|
|
|
$inRangeX = ($this->_rangeLow['x'] <= $x && $this->_rangeHigh['x'] >= $x); |
362
|
|
|
$inRangeY = ($this->_rangeLow['y'] <= $y && $this->_rangeHigh['y'] >= $y); |
363
|
|
|
if ($inRangeX && $inRangeY) { |
364
|
|
|
$data['x'][] = $x; |
365
|
|
|
$data['y'][] = $y; |
366
|
|
|
} else { |
367
|
|
|
continue; |
368
|
|
|
} |
369
|
|
|
} |
370
|
|
|
return $data; |
371
|
|
|
} |
372
|
|
|
} |
373
|
|
|
|
374
|
|
|
// vim: ts=4:sw=4:et: |
375
|
|
|
// vim6: fdl=1: |
376
|
|
|
|