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