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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) Aditus Consulting. 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);
}
}
?>
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