makefont.php File Reference

Go to the source code of this file.

Namespaces
namespace	com\tecnick\tcpdf
	PHP class to creates array representations for 2D barcodes to be used with TCPDF.

Functions
	MakeFont ($fontfile, $fmfile, $embedded=true, $enc='cp1252', $patch=array())
	ReadMap ($enc)
	Read the specified encoding map.
	ReadUFM ($file, &$cidtogidmap)
	Read UFM file.
	ReadAFM ($file, &$map)
	Read AFM file.
	MakeFontDescriptor ($fm, $symbolic=false)
	MakeWidthArray ($fm)
	MakeFontEncoding ($map)
	SaveToFile ($file, $s, $mode='t')
	ReadShort ($f)
	ReadLong ($f)
	CheckTTF ($file)

Variables
	$arg = $GLOBALS['argv']

Function Documentation

CheckTTF

(

$file

)

Definition at line 550 of file makefont.php.

References $f, $file, ReadLong(), and ReadShort().

Referenced by MakeFont().

                         {
        //Check if font license allows embedding
        $f = fopen($file, 'rb');
        if (!$f) {
                die('Error: unable to open '.$file);
        }
        //Extract number of tables
        fseek($f, 4, SEEK_CUR);
        $nb = ReadShort($f);
        fseek($f, 6, SEEK_CUR);
        //Seek OS/2 table
        $found = false;
        for ($i = 0; $i < $nb; $i++) {
                if (fread($f, 4) == 'OS/2') {
                        $found = true;
                        break;
                }
                fseek($f, 12, SEEK_CUR);
        }
        if (!$found) {
                fclose($f);
                return;
        }
        fseek($f, 4, SEEK_CUR);
        $offset = ReadLong($f);
        fseek($f, $offset, SEEK_SET);
        //Extract fsType flags
        fseek($f, 8, SEEK_CUR);
        $fsType = ReadShort($f);
        $rl = ($fsType & 0x02) != 0;
        $pp = ($fsType & 0x04) != 0;
        $e = ($fsType & 0x08) != 0;
        fclose($f);
        if($rl AND (!$pp) AND (!$e)) {
                print "Warning: font license does not allow embedding\n";
        }
}

$arg = $GLOBALS['argv'];
if (count($arg) >= 3) {
        ob_start();
        array_shift($arg);
        if (sizeof($arg) == 3) {
                $arg[3] = $arg[2];
                $arg[2] = true;
        } else {
                if (!isset($arg[2])) {
                        $arg[2] = true;
                }
                if (!isset($arg[3])) {
                        $arg[3] = 'cp1252';
                }
        }
        if (!isset($arg[4])) {
                $arg[4] = array();
        }
        MakeFont($arg[0], $arg[1], $arg[2], $arg[3], $arg[4]);
        $t = ob_get_clean();
        print preg_replace('!<BR( /)?>!i', "\n", $t);
} else {

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MakeFont	(		$fontfile,
			$fmfile,
			$embedded = true,
			$enc = 'cp1252',
			$patch = array()
	)

Parameters

string	$fontfile	path to font file (TTF, OTF or PFB).
string	$fmfile	font metrics file (UFM or AFM).
boolean	$embedded	Set to false to not embed the font, true otherwise (default).
string	$enc	Name of the encoding table to use. Omit this parameter for TrueType Unicode, OpenType Unicode and symbolic fonts like Symbol or ZapfDingBats.
array	$patch	Optional modification of the encoding

Definition at line 60 of file makefont.php.

References $diff, $dw, $enc, $f, $file, $pos, $type, CheckTTF(), MakeFontDescriptor(), MakeFontEncoding(), MakeWidthArray(), ReadAFM(), ReadMap(), ReadUFM(), and SaveToFile().

                                                                                     {
        //Generate a font definition file
        set_magic_quotes_runtime(0);
        ini_set('auto_detect_line_endings', '1');
        if (!file_exists($fontfile)) {
                die('Error: file not found: '.$fontfile);
        }
        if (!file_exists($fmfile)) {
                die('Error: file not found: '.$fmfile);
        }
        $cidtogidmap = '';
        $map = array();
        $diff = '';
        $dw = 0; // default width
        $ffext = strtolower(substr($fontfile, -3));
        $fmext = strtolower(substr($fmfile, -3));
        if ($fmext == 'afm') {
                if (($ffext == 'ttf') OR ($ffext == 'otf')) {
                        $type = 'TrueType';
                } elseif ($ffext == 'pfb') {
                        $type = 'Type1';
                } else {
                        die('Error: unrecognized font file extension: '.$ffext);
                }
                if ($enc) {
                        $map = ReadMap($enc);
                        foreach ($patch as $cc => $gn) {
                                $map[$cc] = $gn;
                        }
                }
                $fm = ReadAFM($fmfile, $map);
                if (isset($widths['.notdef'])) {
                        $dw = $widths['.notdef'];
                }
                if ($enc) {
                        $diff = MakeFontEncoding($map);
                }
                $fd = MakeFontDescriptor($fm, empty($map));
        } elseif ($fmext == 'ufm') {
                $enc = '';
                if (($ffext == 'ttf') OR ($ffext == 'otf')) {
                        $type = 'TrueTypeUnicode';
                } else {
                        die('Error: not a TrueType font: '.$ffext);
                }
                $fm = ReadUFM($fmfile, $cidtogidmap);
                $dw = $fm['MissingWidth'];
                $fd = MakeFontDescriptor($fm, false);
        }
        //Start generation
        $s = '<?php'."\n";
        $s .= '$type=\''.$type."';\n";
        $s .= '$name=\''.$fm['FontName']."';\n";
        $s .= '$desc='.$fd.";\n";
        if (!isset($fm['UnderlinePosition'])) {
                $fm['UnderlinePosition'] = -100;
        }
        if (!isset($fm['UnderlineThickness'])) {
                $fm['UnderlineThickness'] = 50;
        }
        $s .= '$up='.$fm['UnderlinePosition'].";\n";
        $s .= '$ut='.$fm['UnderlineThickness'].";\n";
        if ($dw <= 0) {
                if (isset($fm['Widths'][32]) AND ($fm['Widths'][32] > 0)) {
                        // assign default space width
                        $dw = $fm['Widths'][32];
                } else {
                        $dw = 600;
                }
        }
        $s .= '$dw='.$dw.";\n";
        $w = MakeWidthArray($fm);
        $s .= '$cw='.$w.";\n";
        $s .= '$enc=\''.$enc."';\n";
        $s .= '$diff=\''.$diff."';\n";
        $basename = substr(basename($fmfile), 0, -4);
        if ($embedded) {
                //Embedded font
                if (($type == 'TrueType') OR ($type == 'TrueTypeUnicode')) {
                        CheckTTF($fontfile);
                }
                $f = fopen($fontfile,'rb');
                if (!$f) {
                        die('Error: Unable to open '.$fontfile);
                }
                $file = fread($f, filesize($fontfile));
                fclose($f);
                if ($type == 'Type1') {
                        //Find first two sections and discard third one
                        $header = (ord($file{0}) == 128);
                        if ($header) {
                                //Strip first binary header
                                $file = substr($file, 6);
                        }
                        $pos = strpos($file, 'eexec');
                        if (!$pos) {
                                die('Error: font file does not seem to be valid Type1');
                        }
                        $size1 = $pos + 6;
                        if ($header AND (ord($file{$size1}) == 128)) {
                                //Strip second binary header
                                $file = substr($file, 0, $size1).substr($file, $size1+6);
                        }
                        $pos = strpos($file, '00000000');
                        if (!$pos) {
                                die('Error: font file does not seem to be valid Type1');
                        }
                        $size2 = $pos - $size1;
                        $file = substr($file, 0, ($size1 + $size2));
                }
                $basename = strtolower($basename);
                if (function_exists('gzcompress')) {
                        $cmp = $basename.'.z';
                        SaveToFile($cmp, gzcompress($file, 9), 'b');
                        $s .= '$file=\''.$cmp."';\n";
                        print "Font file compressed (".$cmp.")\n";
                        if (!empty($cidtogidmap)) {
                                $cmp = $basename.'.ctg.z';
                                SaveToFile($cmp, gzcompress($cidtogidmap, 9), 'b');
                                print "CIDToGIDMap created and compressed (".$cmp.")\n";
                                $s .= '$ctg=\''.$cmp."';\n";
                        }
                } else {
                        $s .= '$file=\''.basename($fontfile)."';\n";
                        print "Notice: font file could not be compressed (zlib extension not available)\n";
                        if (!empty($cidtogidmap)) {
                                $cmp = $basename.'.ctg';
                                $f = fopen($cmp, 'wb');
                                fwrite($f, $cidtogidmap);
                                fclose($f);
                                print "CIDToGIDMap created (".$cmp.")\n";
                                $s .= '$ctg=\''.$cmp."';\n";
                        }
                }
                if($type == 'Type1') {
                        $s .= '$size1='.$size1.";\n";
                        $s .= '$size2='.$size2.";\n";
                } else {
                        $s.='$originalsize='.filesize($fontfile).";\n";
                }
        } else {
                //Not embedded font
                $s .= '$file='."'';\n";
        }
        $s .= '// --- EOF ---';
        SaveToFile($basename.'.php',$s);
        print "Font definition file generated (".$basename.".php)\n";
}

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MakeFontDescriptor	(		$fm,
			$symbolic = false
	)

Definition at line 441 of file makefont.php.

References $desc.

Referenced by MakeFont().

                                                  {
        //Ascent
        $asc = (isset($fm['Ascender']) ? $fm['Ascender'] : 1000);
        $fd = "array('Ascent'=>".$asc;
        //Descent
        $desc = (isset($fm['Descender']) ? $fm['Descender'] : -200);
        $fd .= ",'Descent'=>".$desc;
        //CapHeight
        if (isset($fm['CapHeight'])) {
                $ch = $fm['CapHeight'];
        } elseif (isset($fm['CapXHeight'])) {
                $ch = $fm['CapXHeight'];
        } else {
                $ch = $asc;
        }
        $fd .= ",'CapHeight'=>".$ch;
        //Flags
        $flags = 0;
        if (isset($fm['IsFixedPitch']) AND $fm['IsFixedPitch']) {
                $flags += 1<<0;
        }
        if ($symbolic) {
                $flags += 1<<2;
        } else {
                $flags += 1<<5;
        }
        if (isset($fm['ItalicAngle']) AND ($fm['ItalicAngle'] != 0)) {
                $flags += 1<<6;
        }
        $fd .= ",'Flags'=>".$flags;
        //FontBBox
        if (isset($fm['FontBBox'])) {
                $fbb = $fm['FontBBox'];
        } else {
                $fbb = array(0, ($desc - 100), 1000, ($asc + 100));
        }
        $fd .= ",'FontBBox'=>'[".$fbb[0].' '.$fbb[1].' '.$fbb[2].' '.$fbb[3]."]'";
        //ItalicAngle
        $ia = (isset($fm['ItalicAngle']) ? $fm['ItalicAngle'] : 0);
        $fd .= ",'ItalicAngle'=>".$ia;
        //StemV
        if (isset($fm['StdVW'])) {
                $stemv = $fm['StdVW'];
        } elseif (isset($fm['Weight']) AND preg_match('/(bold|black)/i', $fm['Weight'])) {
                $stemv = 120;
        } else {
                $stemv = 70;
        }
        $fd .= ",'StemV'=>".$stemv;
        //MissingWidth
        if(isset($fm['MissingWidth'])) {
                $fd .= ",'MissingWidth'=>".$fm['MissingWidth'];
        }
        $fd .= ')';
        return $fd;
}

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MakeFontEncoding

(

$map

)

Definition at line 514 of file makefont.php.

References ReadMap().

Referenced by MakeFont().

                                {
        //Build differences from reference encoding
        $ref = ReadMap('cp1252');
        $s = '';
        $last = 0;
        for ($i = 32; $i <= 255; $i++) {
                if ($map[$i] != $ref[$i]) {
                        if ($i != $last+1) {
                                $s .= $i.' ';
                        }
                        $last = $i;
                        $s .= '/'.$map[$i].' ';
                }
        }
        return rtrim($s);
}

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MakeWidthArray

(

$fm

)

Definition at line 498 of file makefont.php.

References $cw.

Referenced by MakeFont().

                             {
        //Make character width array
        $s = 'array(';
        $cw = $fm['Widths'];
        $els = array();
        $c = 0;
        foreach ($cw as $i => $w) {
                if (is_numeric($i)) {
                        $els[] = (((($c++)%10) == 0) ? "\n" : '').$i.'=>'.$w;
                }
        }
        $s .= implode(',', $els);
        $s .= ')';
        return $s;
}

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ReadAFM	(		$file,
		&	$map
	)

Read AFM file.

Definition at line 315 of file makefont.php.

References $file.

Referenced by MakeFont().

                              {
        //Read a font metric file
        $a = file($file);
        if(empty($a)) {
                die('File not found');
        }
        $widths = array();
        $fm = array();
        $fix = array(
                'Edot'=>'Edotaccent',
                'edot'=>'edotaccent',
                'Idot'=>'Idotaccent',
                'Zdot'=>'Zdotaccent',
                'zdot'=>'zdotaccent',
                'Odblacute' => 'Ohungarumlaut',
                'odblacute' => 'ohungarumlaut',
                'Udblacute'=>'Uhungarumlaut',
                'udblacute'=>'uhungarumlaut',
                'Gcedilla'=>'Gcommaaccent'
                ,'gcedilla'=>'gcommaaccent',
                'Kcedilla'=>'Kcommaaccent',
                'kcedilla'=>'kcommaaccent',
                'Lcedilla'=>'Lcommaaccent',
                'lcedilla'=>'lcommaaccent',
                'Ncedilla'=>'Ncommaaccent',
                'ncedilla'=>'ncommaaccent',
                'Rcedilla'=>'Rcommaaccent',
                'rcedilla'=>'rcommaaccent',
                'Scedilla'=>'Scommaaccent',
                'scedilla'=>'scommaaccent',
                'Tcedilla'=>'Tcommaaccent',
                'tcedilla'=>'tcommaaccent',
                'Dslash'=>'Dcroat',
                'dslash'=>'dcroat',
                'Dmacron'=>'Dcroat',
                'dmacron'=>'dcroat',
                'combininggraveaccent'=>'gravecomb',
                'combininghookabove'=>'hookabovecomb',
                'combiningtildeaccent'=>'tildecomb',
                'combiningacuteaccent'=>'acutecomb',
                'combiningdotbelow'=>'dotbelowcomb',
                'dongsign'=>'dong'
                );
        foreach($a as $l) {
                $e = explode(' ', rtrim($l));
                if (count($e) < 2) {
                        continue;
                }
                $code = $e[0];
                $param = $e[1];
                if ($code == 'C') {
                        //Character metrics
                        $cc = (int)$e[1];
                        $w = $e[4];
                        $gn = $e[7];
                        if (substr($gn, -4) == '20AC') {
                                $gn = 'Euro';
                        }
                        if (isset($fix[$gn])) {
                                //Fix incorrect glyph name
                                foreach ($map as $c => $n) {
                                        if ($n == $fix[$gn]) {
                                                $map[$c] = $gn;
                                        }
                                }
                        }
                        if (empty($map)) {
                                //Symbolic font: use built-in encoding
                                $widths[$cc] = $w;
                        } else {
                                $widths[$gn] = $w;
                                if($gn == 'X') {
                                        $fm['CapXHeight'] = $e[13];
                                }
                        }
                        if($gn == '.notdef') {
                                $fm['MissingWidth'] = $w;
                        }
                } elseif($code == 'FontName') {
                        $fm['FontName'] = $param;
                } elseif($code == 'Weight') {
                        $fm['Weight'] = $param;
                } elseif($code == 'ItalicAngle') {
                        $fm['ItalicAngle'] = (double)$param;
                } elseif($code == 'Ascender') {
                        $fm['Ascender'] = (int)$param;
                } elseif($code == 'Descender') {
                        $fm['Descender'] = (int)$param;
                } elseif($code == 'UnderlineThickness') {
                        $fm['UnderlineThickness'] = (int)$param;
                } elseif($code == 'UnderlinePosition') {
                        $fm['UnderlinePosition'] = (int)$param;
                } elseif($code == 'IsFixedPitch') {
                        $fm['IsFixedPitch'] = ($param == 'true');
                } elseif($code == 'FontBBox') {
                        $fm['FontBBox'] = array($e[1], $e[2], $e[3], $e[4]);
                } elseif($code == 'CapHeight') {
                        $fm['CapHeight'] = (int)$param;
                } elseif($code == 'StdVW') {
                        $fm['StdVW'] = (int)$param;
                }
        }
        if (!isset($fm['FontName'])) {
                die('FontName not found');
        }
        if (!empty($map)) {
                if (!isset($widths['.notdef'])) {
                        $widths['.notdef'] = 600;
                }
                if (!isset($widths['Delta']) AND isset($widths['increment'])) {
                        $widths['Delta'] = $widths['increment'];
                }
                //Order widths according to map
                for ($i = 0; $i <= 255; $i++) {
                        if (!isset($widths[$map[$i]])) {
                                print "Warning: character ".$map[$i]." is missing\n";
                                $widths[$i] = $widths['.notdef'];
                        } else {
                                $widths[$i] = $widths[$map[$i]];
                        }
                }
        }
        $fm['Widths'] = $widths;
        return $fm;
}

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ReadLong

(

$f

)

Definition at line 545 of file makefont.php.

References $f.

Referenced by CheckTTF().

                      {
        $a = unpack('N1N', fread($f, 4));
        return $a['N'];
}

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ReadMap

(

$enc

)

Read the specified encoding map.

Parameters

string

$enc

map name (see /enc/ folder for valid names).

Definition at line 213 of file makefont.php.

References $enc, $file, and $l.

Referenced by MakeFont(), and MakeFontEncoding().

                       {
        //Read a map file
        $file = dirname(__FILE__).'/enc/'.strtolower($enc).'.map';
        $a = file($file);
        if (empty($a)) {
                die('Error: encoding not found: '.$enc);
        }
        $cc2gn = array();
        foreach ($a as $l) {
                if ($l{0} == '!') {
                        $e = preg_split('/[ \\t]+/',rtrim($l));
                        $cc = hexdec(substr($e[0],1));
                        $gn = $e[2];
                        $cc2gn[$cc] = $gn;
                }
        }
        for($i = 0; $i <= 255; $i++) {
                if(!isset($cc2gn[$i])) {
                        $cc2gn[$i] = '.notdef';
                }
        }
        return $cc2gn;
}

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ReadShort

(

$f

)

Definition at line 540 of file makefont.php.

References $f.

Referenced by CheckTTF().

                       {
        $a = unpack('n1n', fread($f, 2));
        return $a['n'];
}

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ReadUFM	(		$file,
		&	$cidtogidmap
	)

Read UFM file.

Definition at line 240 of file makefont.php.

References $file, and $l.

Referenced by MakeFont().

                                       {
        //Prepare empty CIDToGIDMap
        $cidtogidmap = str_pad('', (256 * 256 * 2), "\x00");
        //Read a font metric file
        $a = file($file);
        if (empty($a)) {
                die('File not found');
        }
        $widths = array();
        $fm = array();
        foreach($a as $l) {
                $e = explode(' ',chop($l));
                if(count($e) < 2) {
                        continue;
                }
                $code = $e[0];
                $param = $e[1];
                if($code == 'U') {
                        // U 827 ; WX 0 ; N squaresubnosp ; G 675 ;
                        //Character metrics
                        $cc = (int)$e[1];
                        if ($cc != -1) {
                        $gn = $e[7];
                        $w = $e[4];
                        $glyph = $e[10];
                        $widths[$cc] = $w;
                        if($cc == ord('X')) {
                                $fm['CapXHeight'] = $e[13];
                        }
                        // Set GID
                        if (($cc >= 0) AND ($cc < 0xFFFF) AND $glyph) {
                                $cidtogidmap{($cc * 2)} = chr($glyph >> 8);
                                $cidtogidmap{(($cc * 2) + 1)} = chr($glyph & 0xFF);
                        }
                }
                if((isset($gn) AND ($gn == '.notdef')) AND (!isset($fm['MissingWidth']))) {
                        $fm['MissingWidth'] = $w;
                }
                } elseif($code == 'FontName') {
                        $fm['FontName'] = $param;
                } elseif($code == 'Weight') {
                        $fm['Weight'] = $param;
                } elseif($code == 'ItalicAngle') {
                        $fm['ItalicAngle'] = (double)$param;
                } elseif($code == 'Ascender') {
                        $fm['Ascender'] = (int)$param;
                } elseif($code == 'Descender') {
                        $fm['Descender'] = (int)$param;
                } elseif($code == 'UnderlineThickness') {
                        $fm['UnderlineThickness'] = (int)$param;
                } elseif($code == 'UnderlinePosition') {
                        $fm['UnderlinePosition'] = (int)$param;
                } elseif($code == 'IsFixedPitch') {
                        $fm['IsFixedPitch'] = ($param == 'true');
                } elseif($code == 'FontBBox') {
                        $fm['FontBBox'] = array($e[1], $e[2], $e[3], $e[4]);
                } elseif($code == 'CapHeight') {
                        $fm['CapHeight'] = (int)$param;
                } elseif($code == 'StdVW') {
                        $fm['StdVW'] = (int)$param;
                }
        }
        if(!isset($fm['MissingWidth'])) {
                $fm['MissingWidth'] = 600;
        }
        if(!isset($fm['FontName'])) {
                die('FontName not found');
        }
        $fm['Widths'] = $widths;
        return $fm;
}

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SaveToFile	(		$file,
			$s,
			$mode = 't'
	)

Definition at line 531 of file makefont.php.

References $f, and $file.

Referenced by MakeFont().

                                          {
        $f = fopen($file, 'w'.$mode);
        if(!$f) {
                die('Can\'t write to file '.$file);
        }
        fwrite($f, $s, strlen($s));
        fclose($f);
}

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Variable Documentation

$arg = $GLOBALS['argv']

Definition at line 588 of file makefont.php.

Referenced by PHPExcel_Calculation\_processTokenStack(), PHPExcel_Calculation_Statistical\AVEDEV(), PHPExcel_Calculation_Statistical\AVERAGE(), PHPExcel_Calculation_Statistical\AVERAGEA(), PHPExcel_Calculation_Statistical\AVERAGEIF(), PHPExcel_Calculation_TextData\CONCATENATE(), PHPExcel_Calculation_Statistical\COUNT(), PHPExcel_Calculation_Statistical\COUNTA(), PHPExcel_Calculation_Statistical\COUNTBLANK(), PHPExcel_Calculation_Statistical\COUNTIF(), PHPExcel_Calculation_Statistical\DEVSQ(), ilHTMLToPDFTransformerUsingWebkit\getArgs(), ilBMFWSDL\getSchemaType(), ilValidator\handleErr(), PHPExcel_Calculation_Statistical\HARMEAN(), PHPExcel_Calculation_Engineering\IMPRODUCT(), PHPExcel_Calculation_Engineering\IMSUM(), PHPExcel_Calculation_Statistical\KURT(), PHPExcel_Calculation_Statistical\LARGE(), PHPExcel_Calculation_Logical\LOGICAL_AND(), PHPExcel_Calculation_Logical\LOGICAL_OR(), PHPExcel_Calculation_Statistical\MAX(), PHPExcel_Calculation_Statistical\MAXA(), PHPExcel_Calculation_Statistical\MAXIF(), PHPExcel_Calculation_Statistical\MEDIAN(), PHPExcel_Calculation_Statistical\MIN(), PHPExcel_Calculation_Statistical\MINA(), PHPExcel_Calculation_Statistical\MINIF(), PHPExcel_Calculation_Statistical\MODE(), PHPExcel_Calculation_MathTrig\MULTINOMIAL(), PHPExcel_Calculation_Statistical\PERCENTILE(), PHPExcel_Calculation_MathTrig\PRODUCT(), PHPExcel_Calculation_MathTrig\QUOTIENT(), PHPExcel_Calculation_MathTrig\SERIESSUM(), PHPlot\SetCallback(), Spreadsheet_Excel_Writer_Format\setPattern(), PHPExcel_Calculation_Statistical\SKEW(), PHPExcel_Calculation_Statistical\SMALL(), ilCronCheck\start(), PHPExcel_Calculation_Statistical\STDEV(), PHPExcel_Calculation_Statistical\STDEVA(), PHPExcel_Calculation_Statistical\STDEVP(), PHPExcel_Calculation_Statistical\STDEVPA(), PHPExcel_Calculation_MathTrig\SUM(), PHPExcel_Calculation_MathTrig\SUMIF(), PHPExcel_Calculation_MathTrig\SUMSQ(), phpCAS\traceBegin(), PHPExcel_Calculation_Statistical\TRIMMEAN(), PHPExcel_Calculation_Statistical\VARA(), PHPExcel_Calculation_Statistical\VARFunc(), PHPExcel_Calculation_Statistical\VARP(), PHPExcel_Calculation_Statistical\VARPA(), and vd().