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-<?php
-/*=======================================================================
- // File: JPGRAPH_UTILS.INC
- // Description: Collection of non-essential "nice to have" utilities
- // Created: 2005-11-20
- // Ver: $Id: jpgraph_utils.inc.php 1777 2009-08-23 17:34:36Z ljp $
- //
- // Copyright (c) Asial Corporation. All rights reserved.
- //========================================================================
- */
-
-//===================================================
-// CLASS FuncGenerator
-// Description: Utility class to help generate data for function plots.
-// The class supports both parametric and regular functions.
-//===================================================
-class FuncGenerator {
- private $iFunc='',$iXFunc='',$iMin,$iMax,$iStepSize;
-
- function __construct($aFunc,$aXFunc='') {
- $this->iFunc = $aFunc;
- $this->iXFunc = $aXFunc;
- }
-
- function E($aXMin,$aXMax,$aSteps=50) {
- $this->iMin = $aXMin;
- $this->iMax = $aXMax;
- $this->iStepSize = ($aXMax-$aXMin)/$aSteps;
-
- if( $this->iXFunc != '' )
- $t = 'for($i='.$aXMin.'; $i<='.$aXMax.'; $i += '.$this->iStepSize.') {$ya[]='.$this->iFunc.';$xa[]='.$this->iXFunc.';}';
- elseif( $this->iFunc != '' )
- $t = 'for($x='.$aXMin.'; $x<='.$aXMax.'; $x += '.$this->iStepSize.') {$ya[]='.$this->iFunc.';$xa[]=$x;} $x='.$aXMax.';$ya[]='.$this->iFunc.';$xa[]=$x;';
- else
- JpGraphError::RaiseL(24001);//('FuncGenerator : No function specified. ');
-
- @eval($t);
-
- // If there is an error in the function specifcation this is the only
- // way we can discover that.
- if( empty($xa) || empty($ya) )
- JpGraphError::RaiseL(24002);//('FuncGenerator : Syntax error in function specification ');
-
- return array($xa,$ya);
- }
-}
-
-
-//=============================================================================
-// CLASS DateScaleUtils
-// Description: Help to create a manual date scale
-//=============================================================================
-define('DSUTILS_MONTH',1); // Major and minor ticks on a monthly basis
-define('DSUTILS_MONTH1',1); // Major and minor ticks on a monthly basis
-define('DSUTILS_MONTH2',2); // Major ticks on a bi-monthly basis
-define('DSUTILS_MONTH3',3); // Major icks on a tri-monthly basis
-define('DSUTILS_MONTH6',4); // Major on a six-monthly basis
-define('DSUTILS_WEEK1',5); // Major ticks on a weekly basis
-define('DSUTILS_WEEK2',6); // Major ticks on a bi-weekly basis
-define('DSUTILS_WEEK4',7); // Major ticks on a quod-weekly basis
-define('DSUTILS_DAY1',8); // Major ticks on a daily basis
-define('DSUTILS_DAY2',9); // Major ticks on a bi-daily basis
-define('DSUTILS_DAY4',10); // Major ticks on a qoud-daily basis
-define('DSUTILS_YEAR1',11); // Major ticks on a yearly basis
-define('DSUTILS_YEAR2',12); // Major ticks on a bi-yearly basis
-define('DSUTILS_YEAR5',13); // Major ticks on a five-yearly basis
-
-
-class DateScaleUtils {
- public static $iMin=0, $iMax=0;
-
- private static $starthour,$startmonth, $startday, $startyear;
- private static $endmonth, $endyear, $endday;
- private static $tickPositions=array(),$minTickPositions=array();
- private static $iUseWeeks = true;
-
- static function UseWeekFormat($aFlg) {
- self::$iUseWeeks = $aFlg;
- }
-
- static function doYearly($aType,$aMinor=false) {
- $i=0; $j=0;
- $m = self::$startmonth;
- $y = self::$startyear;
-
- if( self::$startday == 1 ) {
- self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
- }
- ++$m;
-
-
- switch( $aType ) {
- case DSUTILS_YEAR1:
- for($y=self::$startyear; $y <= self::$endyear; ++$y ) {
- if( $aMinor ) {
- while( $m <= 12 ) {
- if( !($y == self::$endyear && $m > self::$endmonth) ) {
- self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
- }
- ++$m;
- }
- $m=1;
- }
- self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y);
- }
- break;
- case DSUTILS_YEAR2:
- $y=self::$startyear;
- while( $y <= self::$endyear ) {
- self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y);
- for($k=0; $k < 1; ++$k ) {
- ++$y;
- if( $aMinor ) {
- self::$minTickPositions[$j++] = mktime(0,0,0,1,1,$y);
- }
- }
- ++$y;
- }
- break;
- case DSUTILS_YEAR5:
- $y=self::$startyear;
- while( $y <= self::$endyear ) {
- self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y);
- for($k=0; $k < 4; ++$k ) {
- ++$y;
- if( $aMinor ) {
- self::$minTickPositions[$j++] = mktime(0,0,0,1,1,$y);
- }
- }
- ++$y;
- }
- break;
- }
- }
-
- static function doDaily($aType,$aMinor=false) {
- $m = self::$startmonth;
- $y = self::$startyear;
- $d = self::$startday;
- $h = self::$starthour;
- $i=0;$j=0;
-
- if( $h == 0 ) {
- self::$tickPositions[$i++] = mktime(0,0,0,$m,$d,$y);
- }
- $t = mktime(0,0,0,$m,$d,$y);
-
- switch($aType) {
- case DSUTILS_DAY1:
- while( $t <= self::$iMax ) {
- $t = strtotime('+1 day',$t);
- self::$tickPositions[$i++] = $t;
- if( $aMinor ) {
- self::$minTickPositions[$j++] = strtotime('+12 hours',$t);
- }
- }
- break;
- case DSUTILS_DAY2:
- while( $t <= self::$iMax ) {
- $t = strtotime('+1 day',$t);
- if( $aMinor ) {
- self::$minTickPositions[$j++] = $t;
- }
- $t = strtotime('+1 day',$t);
- self::$tickPositions[$i++] = $t;
- }
- break;
- case DSUTILS_DAY4:
- while( $t <= self::$iMax ) {
- for($k=0; $k < 3; ++$k ) {
- $t = strtotime('+1 day',$t);
- if( $aMinor ) {
- self::$minTickPositions[$j++] = $t;
- }
- }
- $t = strtotime('+1 day',$t);
- self::$tickPositions[$i++] = $t;
- }
- break;
- }
- }
-
- static function doWeekly($aType,$aMinor=false) {
- $hpd = 3600*24;
- $hpw = 3600*24*7;
- // Find out week number of min date
- $thursday = self::$iMin + $hpd * (3 - (date('w', self::$iMin) + 6) % 7);
- $week = 1 + (date('z', $thursday) - (11 - date('w', mktime(0, 0, 0, 1, 1, date('Y', $thursday)))) % 7) / 7;
- $daynumber = date('w',self::$iMin);
- if( $daynumber == 0 ) $daynumber = 7;
- $m = self::$startmonth;
- $y = self::$startyear;
- $d = self::$startday;
- $i=0;$j=0;
- // The assumption is that the weeks start on Monday. If the first day
- // is later in the week then the first week tick has to be on the following
- // week.
- if( $daynumber == 1 ) {
- self::$tickPositions[$i++] = mktime(0,0,0,$m,$d,$y);
- $t = mktime(0,0,0,$m,$d,$y) + $hpw;
- }
- else {
- $t = mktime(0,0,0,$m,$d,$y) + $hpd*(8-$daynumber);
- }
-
- switch($aType) {
- case DSUTILS_WEEK1:
- $cnt=0;
- break;
- case DSUTILS_WEEK2:
- $cnt=1;
- break;
- case DSUTILS_WEEK4:
- $cnt=3;
- break;
- }
- while( $t <= self::$iMax ) {
- self::$tickPositions[$i++] = $t;
- for($k=0; $k < $cnt; ++$k ) {
- $t += $hpw;
- if( $aMinor ) {
- self::$minTickPositions[$j++] = $t;
- }
- }
- $t += $hpw;
- }
- }
-
- static function doMonthly($aType,$aMinor=false) {
- $monthcount=0;
- $m = self::$startmonth;
- $y = self::$startyear;
- $i=0; $j=0;
-
- // Skip the first month label if it is before the startdate
- if( self::$startday == 1 ) {
- self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
- $monthcount=1;
- }
- if( $aType == 1 ) {
- if( self::$startday < 15 ) {
- self::$minTickPositions[$j++] = mktime(0,0,0,$m,15,$y);
- }
- }
- ++$m;
-
- // Loop through all the years included in the scale
- for($y=self::$startyear; $y <= self::$endyear; ++$y ) {
- // Loop through all the months. There are three cases to consider:
- // 1. We are in the first year and must start with the startmonth
- // 2. We are in the end year and we must stop at last month of the scale
- // 3. A year in between where we run through all the 12 months
- $stopmonth = $y == self::$endyear ? self::$endmonth : 12;
- while( $m <= $stopmonth ) {
- switch( $aType ) {
- case DSUTILS_MONTH1:
- // Set minor tick at the middle of the month
- if( $aMinor ) {
- if( $m <= $stopmonth ) {
- if( !($y==self::$endyear && $m==$stopmonth && self::$endday < 15) )
- self::$minTickPositions[$j++] = mktime(0,0,0,$m,15,$y);
- }
- }
- // Major at month
- // Get timestamp of first hour of first day in each month
- self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
-
- break;
- case DSUTILS_MONTH2:
- if( $aMinor ) {
- // Set minor tick at start of each month
- self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
- }
-
- // Major at every second month
- // Get timestamp of first hour of first day in each month
- if( $monthcount % 2 == 0 ) {
- self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
- }
- break;
- case DSUTILS_MONTH3:
- if( $aMinor ) {
- // Set minor tick at start of each month
- self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
- }
- // Major at every third month
- // Get timestamp of first hour of first day in each month
- if( $monthcount % 3 == 0 ) {
- self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
- }
- break;
- case DSUTILS_MONTH6:
- if( $aMinor ) {
- // Set minor tick at start of each month
- self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
- }
- // Major at every third month
- // Get timestamp of first hour of first day in each month
- if( $monthcount % 6 == 0 ) {
- self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
- }
- break;
- }
- ++$m;
- ++$monthcount;
- }
- $m=1;
- }
-
- // For the case where all dates are within the same month
- // we want to make sure we have at least two ticks on the scale
- // since the scale want work properly otherwise
- if(self::$startmonth == self::$endmonth && self::$startyear == self::$endyear && $aType==1 ) {
- self::$tickPositions[$i++] = mktime(0 ,0 ,0, self::$startmonth + 1, 1, self::$startyear);
- }
-
- return array(self::$tickPositions,self::$minTickPositions);
- }
-
- static function GetTicks($aData,$aType=1,$aMinor=false,$aEndPoints=false) {
- $n = count($aData);
- return self::GetTicksFromMinMax($aData[0],$aData[$n-1],$aType,$aMinor,$aEndPoints);
- }
-
- static function GetAutoTicks($aMin,$aMax,$aMaxTicks=10,$aMinor=false) {
- $diff = $aMax - $aMin;
- $spd = 3600*24;
- $spw = $spd*7;
- $spm = $spd*30;
- $spy = $spd*352;
-
- if( self::$iUseWeeks )
- $w = 'W';
- else
- $w = 'd M';
-
- // Decision table for suitable scales
- // First value: Main decision point
- // Second value: Array of formatting depending on divisor for wanted max number of ticks. <divisor><formatting><format-string>,..
- $tt = array(
- array($spw, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',-1,DSUTILS_DAY4,'d M')),
- array($spm, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',4,DSUTILS_DAY4,'d M',7,DSUTILS_WEEK1,$w,-1,DSUTILS_WEEK2,$w)),
- array($spy, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',4,DSUTILS_DAY4,'d M',7,DSUTILS_WEEK1,$w,14,DSUTILS_WEEK2,$w,30,DSUTILS_MONTH1,'M',60,DSUTILS_MONTH2,'M',-1,DSUTILS_MONTH3,'M')),
- array(-1, array(30,DSUTILS_MONTH1,'M-Y',60,DSUTILS_MONTH2,'M-Y',90,DSUTILS_MONTH3,'M-Y',180,DSUTILS_MONTH6,'M-Y',352,DSUTILS_YEAR1,'Y',704,DSUTILS_YEAR2,'Y',-1,DSUTILS_YEAR5,'Y')));
-
- $ntt = count($tt);
- $nd = floor($diff/$spd);
- for($i=0; $i < $ntt; ++$i ) {
- if( $diff <= $tt[$i][0] || $i==$ntt-1) {
- $t = $tt[$i][1];
- $n = count($t)/3;
- for( $j=0; $j < $n; ++$j ) {
- if( $nd/$t[3*$j] <= $aMaxTicks || $j==$n-1) {
- $type = $t[3*$j+1];
- $fs = $t[3*$j+2];
- list($tickPositions,$minTickPositions) = self::GetTicksFromMinMax($aMin,$aMax,$type,$aMinor);
- return array($fs,$tickPositions,$minTickPositions,$type);
- }
- }
- }
- }
- }
-
- static function GetTicksFromMinMax($aMin,$aMax,$aType,$aMinor=false,$aEndPoints=false) {
- self::$starthour = date('G',$aMin);
- self::$startmonth = date('n',$aMin);
- self::$startday = date('j',$aMin);
- self::$startyear = date('Y',$aMin);
- self::$endmonth = date('n',$aMax);
- self::$endyear = date('Y',$aMax);
- self::$endday = date('j',$aMax);
- self::$iMin = $aMin;
- self::$iMax = $aMax;
-
- if( $aType <= DSUTILS_MONTH6 ) {
- self::doMonthly($aType,$aMinor);
- }
- elseif( $aType <= DSUTILS_WEEK4 ) {
- self::doWeekly($aType,$aMinor);
- }
- elseif( $aType <= DSUTILS_DAY4 ) {
- self::doDaily($aType,$aMinor);
- }
- elseif( $aType <= DSUTILS_YEAR5 ) {
- self::doYearly($aType,$aMinor);
- }
- else {
- JpGraphError::RaiseL(24003);
- }
- // put a label at the very left data pos
- if( $aEndPoints ) {
- $tickPositions[$i++] = $aData[0];
- }
-
- // put a label at the very right data pos
- if( $aEndPoints ) {
- $tickPositions[$i] = $aData[$n-1];
- }
-
- return array(self::$tickPositions,self::$minTickPositions);
- }
-}
-
-//=============================================================================
-// Class ReadFileData
-//=============================================================================
-Class ReadFileData {
- //----------------------------------------------------------------------------
- // Desciption:
- // Read numeric data from a file.
- // Each value should be separated by either a new line or by a specified
- // separator character (default is ',').
- // Before returning the data each value is converted to a proper float
- // value. The routine is robust in the sense that non numeric data in the
- // file will be discarded.
- //
- // Returns:
- // The number of data values read on success, FALSE on failure
- //----------------------------------------------------------------------------
- static function FromCSV($aFile,&$aData,$aSepChar=',',$aMaxLineLength=1024) {
- $rh = @fopen($aFile,'r');
- if( $rh === false ) {
- return false;
- }
- $tmp = array();
- $lineofdata = fgetcsv($rh, 1000, ',');
- while ( $lineofdata !== FALSE) {
- $tmp = array_merge($tmp,$lineofdata);
- $lineofdata = fgetcsv($rh, $aMaxLineLength, $aSepChar);
- }
- fclose($rh);
-
- // Now make sure that all data is numeric. By default
- // all data is read as strings
- $n = count($tmp);
- $aData = array();
- $cnt=0;
- for($i=0; $i < $n; ++$i) {
- if( $tmp[$i] !== "" ) {
- $aData[$cnt++] = floatval($tmp[$i]);
- }
- }
- return $cnt;
- }
-
- //----------------------------------------------------------------------------
- // Desciption:
- // Read numeric data from a file.
- // Each value should be separated by either a new line or by a specified
- // separator character (default is ',').
- // Before returning the data each value is converted to a proper float
- // value. The routine is robust in the sense that non numeric data in the
- // file will be discarded.
- //
- // Options:
- // 'separator' => ',',
- // 'enclosure' => '"',
- // 'readlength' => 1024,
- // 'ignore_first' => false,
- // 'first_as_key' => false
- // 'escape' => '\', # PHP >= 5.3 only
- //
- // Returns:
- // The number of lines read on success, FALSE on failure
- //----------------------------------------------------------------------------
- static function FromCSV2($aFile, &$aData, $aOptions = array()) {
- $aDefaults = array(
- 'separator' => ',',
- 'enclosure' => chr(34),
- 'escape' => chr(92),
- 'readlength' => 1024,
- 'ignore_first' => false,
- 'first_as_key' => false
- );
-
- $aOptions = array_merge(
- $aDefaults, is_array($aOptions) ? $aOptions : array());
-
- if( $aOptions['first_as_key'] ) {
- $aOptions['ignore_first'] = true;
- }
-
- $rh = @fopen($aFile, 'r');
-
- if( $rh === false ) {
- return false;
- }
-
- $aData = array();
- $aLine = fgetcsv($rh,
- $aOptions['readlength'],
- $aOptions['separator'],
- $aOptions['enclosure']
- /*, $aOptions['escape'] # PHP >= 5.3 only */
- );
-
- // Use numeric array keys for the columns by default
- // If specified use first lines values as assoc keys instead
- $keys = array_keys($aLine);
- if( $aOptions['first_as_key'] ) {
- $keys = array_values($aLine);
- }
-
- $num_lines = 0;
- $num_cols = count($aLine);
-
- while ($aLine !== false) {
- if( is_array($aLine) && count($aLine) != $num_cols ) {
- JpGraphError::RaiseL(24004);
- // 'ReadCSV2: Column count mismatch in %s line %d'
- }
-
- // fgetcsv returns NULL for empty lines
- if( !is_null($aLine) ) {
- $num_lines++;
-
- if( !($aOptions['ignore_first'] && $num_lines == 1) && is_numeric($aLine[0]) ) {
- for( $i = 0; $i < $num_cols; $i++ ) {
- $aData[ $keys[$i] ][] = floatval($aLine[$i]);
- }
- }
- }
-
- $aLine = fgetcsv($rh,
- $aOptions['readlength'],
- $aOptions['separator'],
- $aOptions['enclosure']
- /*, $aOptions['escape'] # PHP >= 5.3 only*/
- );
- }
-
- fclose($rh);
-
- if( $aOptions['ignore_first'] ) {
- $num_lines--;
- }
-
- return $num_lines;
- }
-
- // Read data from two columns in a plain text file
- static function From2Col($aFile, $aCol1, $aCol2, $aSepChar=' ') {
- $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES);
- if( $lines === false ) {
- return false;
- }
- $s = '/[\s]+/';
- if( $aSepChar == ',' ) {
- $s = '/[\s]*,[\s]*/';
- }
- elseif( $aSepChar == ';' ) {
- $s = '/[\s]*;[\s]*/';
- }
- foreach( $lines as $line => $datarow ) {
- $split = preg_split($s,$datarow);
- $aCol1[] = floatval(trim($split[0]));
- $aCol2[] = floatval(trim($split[1]));
- }
-
- return count($lines);
- }
-
- // Read data from one columns in a plain text file
- static function From1Col($aFile, $aCol1) {
- $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES);
- if( $lines === false ) {
- return false;
- }
- foreach( $lines as $line => $datarow ) {
- $aCol1[] = floatval(trim($datarow));
- }
-
- return count($lines);
- }
-
- static function FromMatrix($aFile,$aSepChar=' ') {
- $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES);
- if( $lines === false ) {
- return false;
- }
- $mat = array();
- $reg = '/'.$aSepChar.'/';
- foreach( $lines as $line => $datarow ) {
- $row = preg_split($reg,trim($datarow));
- foreach ($row as $key => $cell ) {
- $row[$key] = floatval(trim($cell));
- }
- $mat[] = $row;
- }
- return $mat;
- }
-
-
-}
-
-define('__LR_EPSILON', 1.0e-8);
-//=============================================================================
-// Class LinearRegression
-//=============================================================================
-class LinearRegression {
- private $ix=array(),$iy=array();
- private $ib=0, $ia=0;
- private $icalculated=false;
- public $iDet=0, $iCorr=0, $iStdErr=0;
-
- public function __construct($aDataX,$aDataY) {
- if( count($aDataX) !== count($aDataY) ) {
- JpGraph::Raise('LinearRegression: X and Y data array must be of equal length.');
- }
- $this->ix = $aDataX;
- $this->iy = $aDataY;
- }
-
- public function Calc() {
-
- $this->icalculated = true;
-
- $n = count($this->ix);
- $sx2 = 0 ;
- $sy2 = 0 ;
- $sxy = 0 ;
- $sx = 0 ;
- $sy = 0 ;
-
- for( $i=0; $i < $n; ++$i ) {
- $sx2 += $this->ix[$i] * $this->ix[$i];
- $sy2 += $this->iy[$i] * $this->iy[$i];
- $sxy += $this->ix[$i] * $this->iy[$i];
- $sx += $this->ix[$i];
- $sy += $this->iy[$i];
- }
-
- if( $n*$sx2 - $sx*$sx > __LR_EPSILON ) {
- $this->ib = ($n*$sxy - $sx*$sy) / ( $n*$sx2 - $sx*$sx );
- $this->ia = ( $sy - $this->ib*$sx ) / $n;
-
- $sx = $this->ib * ( $sxy - $sx*$sy/$n );
- $sy2 = $sy2 - $sy*$sy/$n;
- $sy = $sy2 - $sx;
-
- $this->iDet = $sx / $sy2;
- $this->iCorr = sqrt($this->iDet);
- if( $n > 2 ) {
- $this->iStdErr = sqrt( $sy / ($n-2) );
- }
- else {
- $this->iStdErr = NAN ;
- }
- }
- else {
- $this->ib = 0;
- $this->ia = 0;
- }
-
- }
-
- public function GetAB() {
- if( $this->icalculated == false )
- $this->Calc();
- return array($this->ia, $this->ib);
- }
-
- public function GetStat() {
- if( $this->icalculated == false )
- $this->Calc();
- return array($this->iStdErr, $this->iCorr, $this->iDet);
- }
-
- public function GetY($aMinX, $aMaxX, $aStep=1) {
- if( $this->icalculated == false )
- $this->Calc();
-
- $yy = array();
- $i = 0;
- for( $x=$aMinX; $x <= $aMaxX; $x += $aStep ) {
- $xx[$i ] = $x;
- $yy[$i++] = $this->ia + $this->ib * $x;
- }
-
- return array($xx,$yy);
- }
-
-}
-
-?>