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Parser.php
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<?php
/**
* Class for parsing Excel formulas
*
* License Information:
*
* Spreadsheet::WriteExcel: A library for generating Excel Spreadsheets
* Copyright (C) 2002 Xavier Noguer [email protected]
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
/**
* @const ADD token identifier for character "+"
*/
define('ADD',"+");
/**
* @const SUB token identifier for character "-"
*/
define('SUB',"-");
/**
* @const EQUAL token identifier for character "="
*/
define('EQUAL',"=");
/**
* @const MUL token identifier for character "*"
*/
define('MUL',"*");
/**
* @const DIV token identifier for character "/"
*/
define('DIV',"/");
/**
* @const OPEN token identifier for character "("
*/
define('OPEN',"(");
/**
* @const CLOSE token identifier for character ")"
*/
define('CLOSE',")");
/**
* @const COMA token identifier for character ","
*/
define('COMA',",");
/**
* Class for parsing Excel formulas
*
* @author Xavier Noguer <[email protected]>
* @package Spreadsheet_WriteExcel
*/
class Parser
{
/**
* The class constructor
*
* @param integer $byte_order The byte order (Little endian or Big endian) of the architecture
(optional). 1 => big endian, 0 (default) => little endian.
*/
function Parser($byte_order = 0)
{
$this->_current_char = 0; // The index of the character we are currently looking at.
$this->_current_token = ''; // The token we are working on.
$this->_formula = ""; // The formula to parse.
$this->_lookahead = ''; // The character ahead of the current char.
$this->_parse_tree = ''; // The parse tree to be generated.
$this->_initialize_hashes(); // Initialize the hashes: ptg's and function's ptg's
$this->_byte_order = $byte_order; // Little Endian or Big Endian
$this->_func_args = 0; // Number of arguments for the current function
$this->_volatile = 0;
}
/**
* Initialize the ptg and function hashes.
*/
function _initialize_hashes()
{
// The Excel ptg indices
$this->ptg = array(
'ptgExp' => 0x01,
'ptgTbl' => 0x02,
'ptgAdd' => 0x03,
'ptgSub' => 0x04,
'ptgMul' => 0x05,
'ptgDiv' => 0x06,
'ptgPower' => 0x07,
'ptgConcat' => 0x08,
'ptgLT' => 0x09,
'ptgLE' => 0x0A,
'ptgEQ' => 0x0B,
'ptgGE' => 0x0C,
'ptgGT' => 0x0D,
'ptgNE' => 0x0E,
'ptgIsect' => 0x0F,
'ptgUnion' => 0x10,
'ptgRange' => 0x11,
'ptgUplus' => 0x12,
'ptgUminus' => 0x13,
'ptgPercent' => 0x14,
'ptgParen' => 0x15,
'ptgMissArg' => 0x16,
'ptgStr' => 0x17,
'ptgAttr' => 0x19,
'ptgSheet' => 0x1A,
'ptgEndSheet' => 0x1B,
'ptgErr' => 0x1C,
'ptgBool' => 0x1D,
'ptgInt' => 0x1E,
'ptgNum' => 0x1F,
'ptgArray' => 0x20,
'ptgFunc' => 0x21,
'ptgFuncVar' => 0x22,
'ptgName' => 0x23,
'ptgRef' => 0x24,
'ptgArea' => 0x25,
'ptgMemArea' => 0x26,
'ptgMemErr' => 0x27,
'ptgMemNoMem' => 0x28,
'ptgMemFunc' => 0x29,
'ptgRefErr' => 0x2A,
'ptgAreaErr' => 0x2B,
'ptgRefN' => 0x2C,
'ptgAreaN' => 0x2D,
'ptgMemAreaN' => 0x2E,
'ptgMemNoMemN' => 0x2F,
'ptgNameX' => 0x39,
'ptgRef3d' => 0x3A,
'ptgArea3d' => 0x3B,
'ptgRefErr3d' => 0x3C,
'ptgAreaErr3d' => 0x3D,
'ptgArrayV' => 0x40,
'ptgFuncV' => 0x41,
'ptgFuncVarV' => 0x42,
'ptgNameV' => 0x43,
'ptgRefV' => 0x44,
'ptgAreaV' => 0x45,
'ptgMemAreaV' => 0x46,
'ptgMemErrV' => 0x47,
'ptgMemNoMemV' => 0x48,
'ptgMemFuncV' => 0x49,
'ptgRefErrV' => 0x4A,
'ptgAreaErrV' => 0x4B,
'ptgRefNV' => 0x4C,
'ptgAreaNV' => 0x4D,
'ptgMemAreaNV' => 0x4E,
'ptgMemNoMemN' => 0x4F,
'ptgFuncCEV' => 0x58,
'ptgNameXV' => 0x59,
'ptgRef3dV' => 0x5A,
'ptgArea3dV' => 0x5B,
'ptgRefErr3dV' => 0x5C,
'ptgAreaErr3d' => 0x5D,
'ptgArrayA' => 0x60,
'ptgFuncA' => 0x61,
'ptgFuncVarA' => 0x62,
'ptgNameA' => 0x63,
'ptgRefA' => 0x64,
'ptgAreaA' => 0x65,
'ptgMemAreaA' => 0x66,
'ptgMemErrA' => 0x67,
'ptgMemNoMemA' => 0x68,
'ptgMemFuncA' => 0x69,
'ptgRefErrA' => 0x6A,
'ptgAreaErrA' => 0x6B,
'ptgRefNA' => 0x6C,
'ptgAreaNA' => 0x6D,
'ptgMemAreaNA' => 0x6E,
'ptgMemNoMemN' => 0x6F,
'ptgFuncCEA' => 0x78,
'ptgNameXA' => 0x79,
'ptgRef3dA' => 0x7A,
'ptgArea3dA' => 0x7B,
'ptgRefErr3dA' => 0x7C,
'ptgAreaErr3d' => 0x7D
);
// Thanks to Michael Meeks and Gnumeric for the initial arg values.
//
// The following hash was generated by "function_locale.pl" in the distro.
// Refer to function_locale.pl for non-English function names.
//
// The array elements are as follow:
// ptg: The Excel function ptg code.
// args: The number of arguments that the function takes:
// >=0 is a fixed number of arguments.
// -1 is a variable number of arguments.
// class: The reference, value or array class of the function args.
// vol: The function is volatile.
//
$this->_functions = array(
// function ptg args class vol
'COUNT' => array( 0, -1, 0, 0 ),
'IF' => array( 1, -1, 1, 0 ),
'ISNA' => array( 2, 1, 1, 0 ),
'ISERROR' => array( 3, 1, 1, 0 ),
'SUM' => array( 4, -1, 0, 0 ),
'AVERAGE' => array( 5, -1, 0, 0 ),
'MIN' => array( 6, -1, 0, 0 ),
'MAX' => array( 7, -1, 0, 0 ),
'ROW' => array( 8, -1, 0, 0 ),
'COLUMN' => array( 9, -1, 0, 0 ),
'NA' => array( 10, 0, 0, 0 ),
'NPV' => array( 11, -1, 1, 0 ),
'STDEV' => array( 12, -1, 0, 0 ),
'DOLLAR' => array( 13, -1, 1, 0 ),
'FIXED' => array( 14, -1, 1, 0 ),
'SIN' => array( 15, 1, 1, 0 ),
'COS' => array( 16, 1, 1, 0 ),
'TAN' => array( 17, 1, 1, 0 ),
'ATAN' => array( 18, 1, 1, 0 ),
'PI' => array( 19, 0, 1, 0 ),
'SQRT' => array( 20, 1, 1, 0 ),
'EXP' => array( 21, 1, 1, 0 ),
'LN' => array( 22, 1, 1, 0 ),
'LOG10' => array( 23, 1, 1, 0 ),
'ABS' => array( 24, 1, 1, 0 ),
'INT' => array( 25, 1, 1, 0 ),
'SIGN' => array( 26, 1, 1, 0 ),
'ROUND' => array( 27, 2, 1, 0 ),
'LOOKUP' => array( 28, -1, 0, 0 ),
'INDEX' => array( 29, -1, 0, 1 ),
'REPT' => array( 30, 2, 1, 0 ),
'MID' => array( 31, 3, 1, 0 ),
'LEN' => array( 32, 1, 1, 0 ),
'VALUE' => array( 33, 1, 1, 0 ),
'TRUE' => array( 34, 0, 1, 0 ),
'FALSE' => array( 35, 0, 1, 0 ),
'AND' => array( 36, -1, 0, 0 ),
'OR' => array( 37, -1, 0, 0 ),
'NOT' => array( 38, 1, 1, 0 ),
'MOD' => array( 39, 2, 1, 0 ),
'DCOUNT' => array( 40, 3, 0, 0 ),
'DSUM' => array( 41, 3, 0, 0 ),
'DAVERAGE' => array( 42, 3, 0, 0 ),
'DMIN' => array( 43, 3, 0, 0 ),
'DMAX' => array( 44, 3, 0, 0 ),
'DSTDEV' => array( 45, 3, 0, 0 ),
'VAR' => array( 46, -1, 0, 0 ),
'DVAR' => array( 47, 3, 0, 0 ),
'TEXT' => array( 48, 2, 1, 0 ),
'LINEST' => array( 49, -1, 0, 0 ),
'TREND' => array( 50, -1, 0, 0 ),
'LOGEST' => array( 51, -1, 0, 0 ),
'GROWTH' => array( 52, -1, 0, 0 ),
'PV' => array( 56, -1, 1, 0 ),
'FV' => array( 57, -1, 1, 0 ),
'NPER' => array( 58, -1, 1, 0 ),
'PMT' => array( 59, -1, 1, 0 ),
'RATE' => array( 60, -1, 1, 0 ),
'MIRR' => array( 61, 3, 0, 0 ),
'IRR' => array( 62, -1, 0, 0 ),
'RAND' => array( 63, 0, 1, 1 ),
'MATCH' => array( 64, -1, 0, 0 ),
'DATE' => array( 65, 3, 1, 0 ),
'TIME' => array( 66, 3, 1, 0 ),
'DAY' => array( 67, 1, 1, 0 ),
'MONTH' => array( 68, 1, 1, 0 ),
'YEAR' => array( 69, 1, 1, 0 ),
'WEEKDAY' => array( 70, -1, 1, 0 ),
'HOUR' => array( 71, 1, 1, 0 ),
'MINUTE' => array( 72, 1, 1, 0 ),
'SECOND' => array( 73, 1, 1, 0 ),
'NOW' => array( 74, 0, 1, 1 ),
'AREAS' => array( 75, 1, 0, 1 ),
'ROWS' => array( 76, 1, 0, 1 ),
'COLUMNS' => array( 77, 1, 0, 1 ),
'OFFSET' => array( 78, -1, 0, 1 ),
'SEARCH' => array( 82, -1, 1, 0 ),
'TRANSPOSE' => array( 83, 1, 1, 0 ),
'TYPE' => array( 86, 1, 1, 0 ),
'ATAN2' => array( 97, 2, 1, 0 ),
'ASIN' => array( 98, 1, 1, 0 ),
'ACOS' => array( 99, 1, 1, 0 ),
'CHOOSE' => array( 100, -1, 1, 0 ),
'HLOOKUP' => array( 101, -1, 0, 0 ),
'VLOOKUP' => array( 102, -1, 0, 0 ),
'ISREF' => array( 105, 1, 0, 0 ),
'LOG' => array( 109, -1, 1, 0 ),
'CHAR' => array( 111, 1, 1, 0 ),
'LOWER' => array( 112, 1, 1, 0 ),
'UPPER' => array( 113, 1, 1, 0 ),
'PROPER' => array( 114, 1, 1, 0 ),
'LEFT' => array( 115, -1, 1, 0 ),
'RIGHT' => array( 116, -1, 1, 0 ),
'EXACT' => array( 117, 2, 1, 0 ),
'TRIM' => array( 118, 1, 1, 0 ),
'REPLACE' => array( 119, 4, 1, 0 ),
'SUBSTITUTE' => array( 120, -1, 1, 0 ),
'CODE' => array( 121, 1, 1, 0 ),
'FIND' => array( 124, -1, 1, 0 ),
'CELL' => array( 125, -1, 0, 1 ),
'ISERR' => array( 126, 1, 1, 0 ),
'ISTEXT' => array( 127, 1, 1, 0 ),
'ISNUMBER' => array( 128, 1, 1, 0 ),
'ISBLANK' => array( 129, 1, 1, 0 ),
'T' => array( 130, 1, 0, 0 ),
'N' => array( 131, 1, 0, 0 ),
'DATEVALUE' => array( 140, 1, 1, 0 ),
'TIMEVALUE' => array( 141, 1, 1, 0 ),
'SLN' => array( 142, 3, 1, 0 ),
'SYD' => array( 143, 4, 1, 0 ),
'DDB' => array( 144, -1, 1, 0 ),
'INDIRECT' => array( 148, -1, 1, 1 ),
'CALL' => array( 150, -1, 1, 0 ),
'CLEAN' => array( 162, 1, 1, 0 ),
'MDETERM' => array( 163, 1, 2, 0 ),
'MINVERSE' => array( 164, 1, 2, 0 ),
'MMULT' => array( 165, 2, 2, 0 ),
'IPMT' => array( 167, -1, 1, 0 ),
'PPMT' => array( 168, -1, 1, 0 ),
'COUNTA' => array( 169, -1, 0, 0 ),
'PRODUCT' => array( 183, -1, 0, 0 ),
'FACT' => array( 184, 1, 1, 0 ),
'DPRODUCT' => array( 189, 3, 0, 0 ),
'ISNONTEXT' => array( 190, 1, 1, 0 ),
'STDEVP' => array( 193, -1, 0, 0 ),
'VARP' => array( 194, -1, 0, 0 ),
'DSTDEVP' => array( 195, 3, 0, 0 ),
'DVARP' => array( 196, 3, 0, 0 ),
'TRUNC' => array( 197, -1, 1, 0 ),
'ISLOGICAL' => array( 198, 1, 1, 0 ),
'DCOUNTA' => array( 199, 3, 0, 0 ),
'ROUNDUP' => array( 212, 2, 1, 0 ),
'ROUNDDOWN' => array( 213, 2, 1, 0 ),
'RANK' => array( 216, -1, 0, 0 ),
'ADDRESS' => array( 219, -1, 1, 0 ),
'DAYS360' => array( 220, -1, 1, 0 ),
'TODAY' => array( 221, 0, 1, 1 ),
'VDB' => array( 222, -1, 1, 0 ),
'MEDIAN' => array( 227, -1, 0, 0 ),
'SUMPRODUCT' => array( 228, -1, 2, 0 ),
'SINH' => array( 229, 1, 1, 0 ),
'COSH' => array( 230, 1, 1, 0 ),
'TANH' => array( 231, 1, 1, 0 ),
'ASINH' => array( 232, 1, 1, 0 ),
'ACOSH' => array( 233, 1, 1, 0 ),
'ATANH' => array( 234, 1, 1, 0 ),
'DGET' => array( 235, 3, 0, 0 ),
'INFO' => array( 244, 1, 1, 1 ),
'DB' => array( 247, -1, 1, 0 ),
'FREQUENCY' => array( 252, 2, 0, 0 ),
'ERROR.TYPE' => array( 261, 1, 1, 0 ),
'REGISTER.ID' => array( 267, -1, 1, 0 ),
'AVEDEV' => array( 269, -1, 0, 0 ),
'BETADIST' => array( 270, -1, 1, 0 ),
'GAMMALN' => array( 271, 1, 1, 0 ),
'BETAINV' => array( 272, -1, 1, 0 ),
'BINOMDIST' => array( 273, 4, 1, 0 ),
'CHIDIST' => array( 274, 2, 1, 0 ),
'CHIINV' => array( 275, 2, 1, 0 ),
'COMBIN' => array( 276, 2, 1, 0 ),
'CONFIDENCE' => array( 277, 3, 1, 0 ),
'CRITBINOM' => array( 278, 3, 1, 0 ),
'EVEN' => array( 279, 1, 1, 0 ),
'EXPONDIST' => array( 280, 3, 1, 0 ),
'FDIST' => array( 281, 3, 1, 0 ),
'FINV' => array( 282, 3, 1, 0 ),
'FISHER' => array( 283, 1, 1, 0 ),
'FISHERINV' => array( 284, 1, 1, 0 ),
'FLOOR' => array( 285, 2, 1, 0 ),
'GAMMADIST' => array( 286, 4, 1, 0 ),
'GAMMAINV' => array( 287, 3, 1, 0 ),
'CEILING' => array( 288, 2, 1, 0 ),
'HYPGEOMDIST' => array( 289, 4, 1, 0 ),
'LOGNORMDIST' => array( 290, 3, 1, 0 ),
'LOGINV' => array( 291, 3, 1, 0 ),
'NEGBINOMDIST' => array( 292, 3, 1, 0 ),
'NORMDIST' => array( 293, 4, 1, 0 ),
'NORMSDIST' => array( 294, 1, 1, 0 ),
'NORMINV' => array( 295, 3, 1, 0 ),
'NORMSINV' => array( 296, 1, 1, 0 ),
'STANDARDIZE' => array( 297, 3, 1, 0 ),
'ODD' => array( 298, 1, 1, 0 ),
'PERMUT' => array( 299, 2, 1, 0 ),
'POISSON' => array( 300, 3, 1, 0 ),
'TDIST' => array( 301, 3, 1, 0 ),
'WEIBULL' => array( 302, 4, 1, 0 ),
'SUMXMY2' => array( 303, 2, 2, 0 ),
'SUMX2MY2' => array( 304, 2, 2, 0 ),
'SUMX2PY2' => array( 305, 2, 2, 0 ),
'CHITEST' => array( 306, 2, 2, 0 ),
'CORREL' => array( 307, 2, 2, 0 ),
'COVAR' => array( 308, 2, 2, 0 ),
'FORECAST' => array( 309, 3, 2, 0 ),
'FTEST' => array( 310, 2, 2, 0 ),
'INTERCEPT' => array( 311, 2, 2, 0 ),
'PEARSON' => array( 312, 2, 2, 0 ),
'RSQ' => array( 313, 2, 2, 0 ),
'STEYX' => array( 314, 2, 2, 0 ),
'SLOPE' => array( 315, 2, 2, 0 ),
'TTEST' => array( 316, 4, 2, 0 ),
'PROB' => array( 317, -1, 2, 0 ),
'DEVSQ' => array( 318, -1, 0, 0 ),
'GEOMEAN' => array( 319, -1, 0, 0 ),
'HARMEAN' => array( 320, -1, 0, 0 ),
'SUMSQ' => array( 321, -1, 0, 0 ),
'KURT' => array( 322, -1, 0, 0 ),
'SKEW' => array( 323, -1, 0, 0 ),
'ZTEST' => array( 324, -1, 0, 0 ),
'LARGE' => array( 325, 2, 0, 0 ),
'SMALL' => array( 326, 2, 0, 0 ),
'QUARTILE' => array( 327, 2, 0, 0 ),
'PERCENTILE' => array( 328, 2, 0, 0 ),
'PERCENTRANK' => array( 329, -1, 0, 0 ),
'MODE' => array( 330, -1, 2, 0 ),
'TRIMMEAN' => array( 331, 2, 0, 0 ),
'TINV' => array( 332, 2, 1, 0 ),
'CONCATENATE' => array( 336, -1, 1, 0 ),
'POWER' => array( 337, 2, 1, 0 ),
'RADIANS' => array( 342, 1, 1, 0 ),
'DEGREES' => array( 343, 1, 1, 0 ),
'SUBTOTAL' => array( 344, -1, 0, 0 ),
'SUMIF' => array( 345, -1, 0, 0 ),
'COUNTIF' => array( 346, 2, 0, 0 ),
'COUNTBLANK' => array( 347, 1, 0, 0 ),
'ROMAN' => array( 354, -1, 1, 0 )
);
}
/**
* Convert a token to the proper ptg value.
*
* @param mixed $token The token to convert.
*/
function _convert($token)
{
if(is_numeric($token))
{
return($this->_convert_number($token));
}
// match references like A1
elseif(preg_match("/^([A-I]?[A-Z])(\d+)$/",$token))
{
return($this->_convert_ref2d($token));
}
// match ranges like A1:B2
elseif(preg_match("/^([A-I]?[A-Z])(\d+)\:([A-I]?[A-Z])(\d+)$/",$token))
{
return($this->_convert_range2d($token));
}
// match ranges like A1..B2
elseif(preg_match("/^([A-I]?[A-Z])(\d+)\.\.([A-I]?[A-Z])(\d+)$/",$token))
{
return($this->_convert_range2d($token));
}
elseif(isset($this->ptg[$token])) // operators (including parentheses)
{
return(pack("C", $this->ptg[$token]));
}
elseif(preg_match("/[A-Z0-9À-Ü\.]+/",$token))
{
return($this->_convert_function($token,$this->_func_args));
}
// if it's an argument, ignore the token (the argument remains)
elseif($token == 'arg')
{
$this->_func_args++;
return('');
}
die("Unknown token $token");
}
/**
* Convert a number token to ptgInt or ptgNum
*
* @param mixed $num an integer or double for conersion to its ptg value
*/
function _convert_number($num)
{
// Integer in the range 0..2**16-1
if ((preg_match("/^\d+$/",$num)) and ($num <= 65535)) {
return pack("Cv", $this->ptg['ptgInt'], $num);
}
else // A float
{
if($this->_byte_order) // if it's Big Endian
{
$num = strrev($num);
}
return pack("Cd", $this->ptg['ptgNum'], $num);
}
}
/**
* Convert a function to a ptgFunc or ptgFuncVarV depending on the number of
* args that it takes.
*
* @param string $token The name of the function for convertion to ptg value.
* @param integer $num_args The number of arguments the function recieves.
*/
function _convert_function($token, $num_args)
{
$this->_func_args = 0; // re initialize the number of arguments
$args = $this->_functions[$token][1];
$volatile = $this->_functions[$token][3];
if($volatile) {
$this->_volatile = 1;
}
// Fixed number of args eg. TIME($i,$j,$k).
if ($args >= 0)
{
return(pack("Cv", $this->ptg['ptgFuncV'], $this->_functions[$token][0]));
}
// Variable number of args eg. SUM($i,$j,$k, ..).
if ($args == -1) {
return(pack("CCv", $this->ptg['ptgFuncVarV'], $num_args, $this->_functions[$token][0]));
}
}
/**
* Convert an Excel range such as A1:D4 to a ptgRefV.
*
* @param string $range An Excel range in the A1:A2 or A1..A2 format.
*/
function _convert_range2d($range)
{
$class = 2; // as far as I know, this is magick.
// Split the range into 2 cell refs
if(preg_match("/^([A-I]?[A-Z])(\d+)\:([A-I]?[A-Z])(\d+)$/",$range)) {
list($cell1, $cell2) = split(':', $range);
}
elseif(preg_match("/^([A-I]?[A-Z])(\d+)\.\.([A-I]?[A-Z])(\d+)$/",$range)) {
list($cell1, $cell2) = split('\.\.', $range);
}
else {
die("Unknown range separator");
}
// Convert the cell references
list($row1, $col1) = $this->_cell_to_packed_rowcol($cell1);
list($row2, $col2) = $this->_cell_to_packed_rowcol($cell2);
// The ptg value depends on the class of the ptg.
if ($class == 0) {
$ptgArea = pack("C", $this->ptg['ptgArea']);
}
elseif ($class == 1) {
$ptgArea = pack("C", $this->ptg['ptgAreaV']);
}
elseif ($class == 2) {
$ptgArea = pack("C", $this->ptg['ptgAreaA']);
}
else{
die("Unknown class ");
}
return($ptgArea . $row1 . $row2 . $col1. $col2);
}
/**
* Convert an Excel reference such as A1, $B2, C$3 or $D$4 to a ptgRefV.
*
* @param string $cell An Excel cell reference
*/
function _convert_ref2d($cell)
{
$class = 2; // as far as I know, this is magick.
// Convert the cell reference
list($row, $col) = $this->_cell_to_packed_rowcol($cell);
// The ptg value depends on the class of the ptg.
if ($class == 0) {
$ptgRef = pack("C", $this->ptg['ptgRef']);
}
elseif ($class == 1) {
$ptgRef = pack("C", $this->ptg['ptgRefV']);
}
elseif ($class == 2) {
$ptgRef = pack("C", $this->ptg['ptgRefA']);
}
else{
die("Unknown class ");
}
return $ptgRef.$row.$col;
}
/**
* pack() row and column into the required 3 byte format.
*
* @param string $cell The Excel cell reference to be packed
*/
function _cell_to_packed_rowcol($cell)
{
list($row, $col, $row_rel, $col_rel) = $this->_cell_to_rowcol($cell);
if ($col >= 256) {
die("Column in: $cell greater than 255 ");
}
if ($row >= 16384) {
die("Row in: $cell greater than 16384 ");
}
// Set the high bits to indicate if row or col are relative.
$row |= $col_rel << 14;
$row |= $row_rel << 15;
$row = pack('v', $row);
$col = pack('C', $col);
return (array($row, $col));
}
/**
* Convert an Excel cell reference such as A1 or $B2 or C$3 or $D$4 to a zero
* indexed row and column number. Also returns two boolean values to indicate
* whether the row or column are relative references.
*
* @param string $cell The Excel cell reference in A1 format.
*/
function _cell_to_rowcol($cell)
{
preg_match('/(\$)?([A-I]?[A-Z])(\$)?(\d+)/',$cell,$match);
// return absolute column if there is a $ in the ref
$col_rel = empty($match[1]) ? 1 : 0;
$col_ref = $match[2];
$row_rel = empty($match[3]) ? 1 : 0;
$row = $match[4];
// Convert base26 column string to a number.
$expn = strlen($col_ref) - 1;
$col = 0;
for($i=0; $i < strlen($col_ref); $i++)
{
$col += (ord($col_ref{$i}) - ord('A') + 1) * pow(26, $expn);
$expn--;
}
// Convert 1-index to zero-index
$row--;
$col--;
return(array($row, $col, $row_rel, $col_rel));
}
/**
* Advance to the next valid token.
*/
function _advance()
{
$i = $this->_current_char;
// eat up white spaces
if($i < strlen($this->_formula))
{
while($this->_formula{$i} == " ")
{
$i++;
}
if($i < strlen($this->_formula) - 1)
{
$this->_lookahead = $this->_formula{$i+1};
}
$token = "";
}
while($i < strlen($this->_formula))
{
$token .= $this->_formula{$i};
if($this->_match($token) != '')
{
if($i < strlen($this->_formula) - 1)
{
$this->_lookahead = $this->_formula{$i+1};
}
$this->_current_char = $i + 1;
$this->_current_token = $token;
return(1);
}
$this->_lookahead = $this->_formula{$i+2};
$i++;
}
//die("Lexical error ".$this->_current_char);
}
/**
* Checks if it's a valid token.
*
* @param mixed $token The token to check.
*/
function _match($token)
{
switch($token)
{
case ADD:
return($token);
break;
case SUB:
return($token);
break;
case MUL:
return($token);
break;
case DIV:
return($token);
break;
case OPEN:
return($token);
break;
case CLOSE:
return($token);
break;
case COMA:
return($token);
break;
default:
// if it's a reference
if(eregi("^[A-I]?[A-Z][0-9]+$",$token) and
!ereg("[0-9]",$this->_lookahead) and
($this->_lookahead != ':') and ($this->_lookahead != '.'))
{
return($token);
}
// if it's a range (A1:A2)
elseif(eregi("^[A-I]?[A-Z][0-9]+:[A-I]?[A-Z][0-9]+$",$token) and
!ereg("[0-9]",$this->_lookahead))
{
return($token);
}
// if it's a range (A1..A2)
elseif(eregi("^[A-I]?[A-Z][0-9]+\.\.[A-I]?[A-Z][0-9]+$",$token) and
!ereg("[0-9]",$this->_lookahead))
{
return($token);
}
elseif(is_numeric($token) and !is_numeric($token.$this->_lookahead))
{
return($token);
}
// if it's a function call
elseif(eregi("^[A-Z0-9À-Ü\.]+$",$token) and ($this->_lookahead == "("))
{
return($token);
}
return '';
}
}
/**
* The parsing method. It parses a formula.
*
* @access public
* @param string $formula The formula to parse, without the initial equal sign (=).
*/
function parse($formula)
{
$this->_current_char = 0;
$this->_formula = $formula;
$this->_lookahead = $formula{1};
$this->_advance();
$this->_parse_tree = $this->_expression();
}
/**
* It parses a expression. It assumes the following rule:
* Expr -> Term [("+" | "-") Term]
*
* @return mixed The parsed ptg'd tree
*/
function _expression()
{
$result = $this->_term();
while ($this->_current_token == ADD or $this->_current_token == SUB)
{
if ($this->_current_token == ADD)
{
$this->_advance();
$result = $this->_create_tree('ptgAdd', $result, $this->_term());
}
else
{
$this->_advance();
$result = $this->_create_tree('ptgSub', $result, $this->_term());
}
}
return $result;
}
/**
* This function just introduces a ptgParen element in the tree, so that Excel
* doesn't get confused when working with a parenthesized formula afterwards.
*
* @see _fact
* @return mixed The parsed ptg'd tree
*/
function _parenthesized_expression()
{
$result = $this->_create_tree('ptgParen', $this->_expression(), '');
return($result);
}
/**
* It parses a term. It assumes the following rule:
* Term -> Fact [("*" | "/") Fact]
*
* @return mixed The parsed ptg'd tree
*/
function _term()
{
$result = $this->_fact();
while ($this->_current_token == MUL || $this->_current_token == DIV)
{
if ($this->_current_token == MUL)
{
$this->_advance();
$result = $this->_create_tree('ptgMul', $result, $this->_fact());
}
else
{
$this->_advance();
$result = $this->_create_tree('ptgDiv', $result, $this->_fact());
}
}
return($result);
}
/**
* It parses a factor. It assumes the following rule:
* Fact -> ( Expr )
* | CellRef
* | CellRange
* | Number
* | Function
*
* @return mixed The parsed ptg'd tree
*/
function _fact()
{
if ($this->_current_token == OPEN)
{
$this->_advance(); // eat the "("
$result = $this->_parenthesized_expression();//$this->_expression();
if ($this->_current_token != CLOSE) {
die("')' token expected.");
}
$this->_advance(); // eat the ")"
return($result);
}
// if it's a reference
if (eregi("^[A-I]?[A-Z][0-9]+$",$this->_current_token))
{
$result = $this->_create_tree($this->_current_token, '', '');
$this->_advance();
return($result);
}
// if it's a range
elseif (eregi("^[A-I]?[A-Z][0-9]+:[A-I]?[A-Z][0-9]+$",$this->_current_token) or
eregi("^[A-I]?[A-Z][0-9]+\.\.[A-I]?[A-Z][0-9]+$",$this->_current_token))
{
$result = $this->_current_token;
$this->_advance();
return($result);
}
elseif (is_numeric($this->_current_token))
{
$result = $this->_create_tree($this->_current_token, '', '');
$this->_advance();
return($result);
}
// if it's a function call
elseif (eregi("^[A-Z0-9À-Ü\.]+$",$this->_current_token))
{
$result = $this->_func();
return($result);
}
die("Sintactic error: ".$this->_current_token.", lookahead: ".
$this->_lookahead.", current char: ".$this->_current_char);
}
/**
* It parses a function call. It assumes the following rule:
* Func -> ( Expr [,Expr]* )
*
*/
function _func()
{
$num_args = 0; // number of arguments received
$function = $this->_current_token;
$this->_advance();
$this->_advance(); // eat the "("
while($this->_current_token != ')')
{
if($num_args > 0)
{
if($this->_current_token == COMA) {
$this->_advance(); // eat the ","
}
else {
die("Sintactic error: coma expected $num_args");
}
$result = $this->_create_tree('arg', $result, $this->_expression());
}
else {
$result = $this->_create_tree('arg', '', $this->_expression());
}
$num_args++;
}
$args = $this->_functions[$function][1];
// If fixed number of args eg. TIME($i,$j,$k). Check that the number of args is valid.
if (($args >= 0) and ($args != $num_args))
{
die("Incorrect number of arguments in function $function() ");
}
$result = $this->_create_tree($function, $result, '');
$this->_advance(); // eat the ")"
return($result);
}
/**
* Creates a tree. In fact an array which may have one or two arrays (sub-trees)
* as elements.
*
* @param mixed $value The value of this node.
* @param mixed $left The left array (sub-tree) or a final node.
* @param mixed $right The right array (sub-tree) or a final node.
*/
function _create_tree($value, $left, $right)
{
return array('value' => $value, 'left' => $left, 'right' => $right);
}
/**
* Builds a string containing the tree in reverse polish notation (What you
* would use in a HP calculator stack).
* The following tree:
*
* +
* / \
* 2 3
*
* produces: "23+"
*
* The following tree:
*
* +
* / \
* 3 *
* / \
* 6 A1
*
* produces: "36A1*+"
*
* In fact all operands, functions, references, etc... are written as ptg's
*
* @access public
* @param array $tree The optional tree to convert.
*/
function to_reverse_polish($tree = array())
{
$polish = ""; // the string we are going to return
if (empty($tree)) // If it's the first call use _parse_tree
{
$tree = $this->_parse_tree;
}
if (is_array($tree['left']))
{
$polish .= $this->to_reverse_polish($tree['left']);
}
elseif($tree['left'] != '') // It's a final node
{
$polish .= $this->_convert($tree['left']); //$tree['left'];
}
if (is_array($tree['right']))
{
$polish .= $this->to_reverse_polish($tree['right']);
}
elseif($tree['right'] != '') // It's a final node
{
$polish .= $this->_convert($tree['right']);
}
$polish .= $this->_convert($tree['value']);
return $polish;
}
}
?>