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<?php
namespace PhpOffice\PhpSpreadsheet\Calculation;
/**
* PARTLY BASED ON:
* Copyright (c) 2007 E. W. Bachtal, Inc.
*
* Permission is hereby granted, free of charge, to any person obtaining a copy of this software
* and associated documentation files (the "Software"), to deal in the Software without restriction,
* including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense,
* and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so,
* subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all copies or substantial
* portions of the Software.
*
* The software is provided "as is", without warranty of any kind, express or implied, including but not
* limited to the warranties of merchantability, fitness for a particular purpose and noninfringement. In
* no event shall the authors or copyright holders be liable for any claim, damages or other liability,
* whether in an action of contract, tort or otherwise, arising from, out of or in connection with the
* software or the use or other dealings in the software.
*
* https://ewbi.blogs.com/develops/2007/03/excel_formula_p.html
* https://ewbi.blogs.com/develops/2004/12/excel_formula_p.html
*/
class FormulaParser
{
// Character constants
const QUOTE_DOUBLE = '"';
const QUOTE_SINGLE = '\'';
const BRACKET_CLOSE = ']';
const BRACKET_OPEN = '[';
const BRACE_OPEN = '{';
const BRACE_CLOSE = '}';
const PAREN_OPEN = '(';
const PAREN_CLOSE = ')';
const SEMICOLON = ';';
const WHITESPACE = ' ';
const COMMA = ',';
const ERROR_START = '#';
const OPERATORS_SN = '+-';
const OPERATORS_INFIX = '+-*/^&=><';
const OPERATORS_POSTFIX = '%';
/**
* Formula.
*
* @var string
*/
private $formula;
/**
* Tokens.
*
* @var FormulaToken[]
*/
private $tokens = [];
/**
* Create a new FormulaParser.
*
* @param string $pFormula Formula to parse
*/
public function __construct($pFormula = '')
{
// Check parameters
if ($pFormula === null) {
throw new Exception('Invalid parameter passed: formula');
}
// Initialise values
$this->formula = trim($pFormula);
// Parse!
$this->parseToTokens();
}
/**
* Get Formula.
*
* @return string
*/
public function getFormula()
{
return $this->formula;
}
/**
* Get Token.
*
* @param int $pId Token id
*
* @return string
*/
public function getToken($pId = 0)
{
if (isset($this->tokens[$pId])) {
return $this->tokens[$pId];
}
throw new Exception("Token with id $pId does not exist.");
}
/**
* Get Token count.
*
* @return int
*/
public function getTokenCount()
{
return count($this->tokens);
}
/**
* Get Tokens.
*
* @return FormulaToken[]
*/
public function getTokens()
{
return $this->tokens;
}
/**
* Parse to tokens.
*/
private function parseToTokens(): void
{
// No attempt is made to verify formulas; assumes formulas are derived from Excel, where
// they can only exist if valid; stack overflows/underflows sunk as nulls without exceptions.
// Check if the formula has a valid starting =
$formulaLength = strlen($this->formula);
if ($formulaLength < 2 || $this->formula[0] != '=') {
return;
}
// Helper variables
$tokens1 = $tokens2 = $stack = [];
$inString = $inPath = $inRange = $inError = false;
$token = $previousToken = $nextToken = null;
$index = 1;
$value = '';
$ERRORS = ['#NULL!', '#DIV/0!', '#VALUE!', '#REF!', '#NAME?', '#NUM!', '#N/A'];
$COMPARATORS_MULTI = ['>=', '<=', '<>'];
while ($index < $formulaLength) {
// state-dependent character evaluation (order is important)
// double-quoted strings
// embeds are doubled
// end marks token
if ($inString) {
if ($this->formula[$index] == self::QUOTE_DOUBLE) {
if ((($index + 2) <= $formulaLength) && ($this->formula[$index + 1] == self::QUOTE_DOUBLE)) {
$value .= self::QUOTE_DOUBLE;
++$index;
} else {
$inString = false;
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND, FormulaToken::TOKEN_SUBTYPE_TEXT);
$value = '';
}
} else {
$value .= $this->formula[$index];
}
++$index;
continue;
}
// single-quoted strings (links)
// embeds are double
// end does not mark a token
if ($inPath) {
if ($this->formula[$index] == self::QUOTE_SINGLE) {
if ((($index + 2) <= $formulaLength) && ($this->formula[$index + 1] == self::QUOTE_SINGLE)) {
$value .= self::QUOTE_SINGLE;
++$index;
} else {
$inPath = false;
}
} else {
$value .= $this->formula[$index];
}
++$index;
continue;
}
// bracked strings (R1C1 range index or linked workbook name)
// no embeds (changed to "()" by Excel)
// end does not mark a token
if ($inRange) {
if ($this->formula[$index] == self::BRACKET_CLOSE) {
$inRange = false;
}
$value .= $this->formula[$index];
++$index;
continue;
}
// error values
// end marks a token, determined from absolute list of values
if ($inError) {
$value .= $this->formula[$index];
++$index;
if (in_array($value, $ERRORS)) {
$inError = false;
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND, FormulaToken::TOKEN_SUBTYPE_ERROR);
$value = '';
}
continue;
}
// scientific notation check
if (strpos(self::OPERATORS_SN, $this->formula[$index]) !== false) {
if (strlen($value) > 1) {
if (preg_match('/^[1-9]{1}(\\.\\d+)?E{1}$/', $this->formula[$index]) != 0) {
$value .= $this->formula[$index];
++$index;
continue;
}
}
}
// independent character evaluation (order not important)
// establish state-dependent character evaluations
if ($this->formula[$index] == self::QUOTE_DOUBLE) {
if (strlen($value) > 0) {
// unexpected
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_UNKNOWN);
$value = '';
}
$inString = true;
++$index;
continue;
}
if ($this->formula[$index] == self::QUOTE_SINGLE) {
if (strlen($value) > 0) {
// unexpected
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_UNKNOWN);
$value = '';
}
$inPath = true;
++$index;
continue;
}
if ($this->formula[$index] == self::BRACKET_OPEN) {
$inRange = true;
$value .= self::BRACKET_OPEN;
++$index;
continue;
}
if ($this->formula[$index] == self::ERROR_START) {
if (strlen($value) > 0) {
// unexpected
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_UNKNOWN);
$value = '';
}
$inError = true;
$value .= self::ERROR_START;
++$index;
continue;
}
// mark start and end of arrays and array rows
if ($this->formula[$index] == self::BRACE_OPEN) {
if (strlen($value) > 0) {
// unexpected
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_UNKNOWN);
$value = '';
}
$tmp = new FormulaToken('ARRAY', FormulaToken::TOKEN_TYPE_FUNCTION, FormulaToken::TOKEN_SUBTYPE_START);
$tokens1[] = $tmp;
$stack[] = clone $tmp;
$tmp = new FormulaToken('ARRAYROW', FormulaToken::TOKEN_TYPE_FUNCTION, FormulaToken::TOKEN_SUBTYPE_START);
$tokens1[] = $tmp;
$stack[] = clone $tmp;
++$index;
continue;
}
if ($this->formula[$index] == self::SEMICOLON) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tmp = array_pop($stack);
$tmp->setValue('');
$tmp->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_STOP);
$tokens1[] = $tmp;
$tmp = new FormulaToken(',', FormulaToken::TOKEN_TYPE_ARGUMENT);
$tokens1[] = $tmp;
$tmp = new FormulaToken('ARRAYROW', FormulaToken::TOKEN_TYPE_FUNCTION, FormulaToken::TOKEN_SUBTYPE_START);
$tokens1[] = $tmp;
$stack[] = clone $tmp;
++$index;
continue;
}
if ($this->formula[$index] == self::BRACE_CLOSE) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tmp = array_pop($stack);
$tmp->setValue('');
$tmp->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_STOP);
$tokens1[] = $tmp;
$tmp = array_pop($stack);
$tmp->setValue('');
$tmp->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_STOP);
$tokens1[] = $tmp;
++$index;
continue;
}
// trim white-space
if ($this->formula[$index] == self::WHITESPACE) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tokens1[] = new FormulaToken('', FormulaToken::TOKEN_TYPE_WHITESPACE);
++$index;
while (($this->formula[$index] == self::WHITESPACE) && ($index < $formulaLength)) {
++$index;
}
continue;
}
// multi-character comparators
if (($index + 2) <= $formulaLength) {
if (in_array(substr($this->formula, $index, 2), $COMPARATORS_MULTI)) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tokens1[] = new FormulaToken(substr($this->formula, $index, 2), FormulaToken::TOKEN_TYPE_OPERATORINFIX, FormulaToken::TOKEN_SUBTYPE_LOGICAL);
$index += 2;
continue;
}
}
// standard infix operators
if (strpos(self::OPERATORS_INFIX, $this->formula[$index]) !== false) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tokens1[] = new FormulaToken($this->formula[$index], FormulaToken::TOKEN_TYPE_OPERATORINFIX);
++$index;
continue;
}
// standard postfix operators (only one)
if (strpos(self::OPERATORS_POSTFIX, $this->formula[$index]) !== false) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tokens1[] = new FormulaToken($this->formula[$index], FormulaToken::TOKEN_TYPE_OPERATORPOSTFIX);
++$index;
continue;
}
// start subexpression or function
if ($this->formula[$index] == self::PAREN_OPEN) {
if (strlen($value) > 0) {
$tmp = new FormulaToken($value, FormulaToken::TOKEN_TYPE_FUNCTION, FormulaToken::TOKEN_SUBTYPE_START);
$tokens1[] = $tmp;
$stack[] = clone $tmp;
$value = '';
} else {
$tmp = new FormulaToken('', FormulaToken::TOKEN_TYPE_SUBEXPRESSION, FormulaToken::TOKEN_SUBTYPE_START);
$tokens1[] = $tmp;
$stack[] = clone $tmp;
}
++$index;
continue;
}
// function, subexpression, or array parameters, or operand unions
if ($this->formula[$index] == self::COMMA) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tmp = array_pop($stack);
$tmp->setValue('');
$tmp->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_STOP);
$stack[] = $tmp;
if ($tmp->getTokenType() == FormulaToken::TOKEN_TYPE_FUNCTION) {
$tokens1[] = new FormulaToken(',', FormulaToken::TOKEN_TYPE_OPERATORINFIX, FormulaToken::TOKEN_SUBTYPE_UNION);
} else {
$tokens1[] = new FormulaToken(',', FormulaToken::TOKEN_TYPE_ARGUMENT);
}
++$index;
continue;
}
// stop subexpression
if ($this->formula[$index] == self::PAREN_CLOSE) {
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
$value = '';
}
$tmp = array_pop($stack);
$tmp->setValue('');
$tmp->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_STOP);
$tokens1[] = $tmp;
++$index;
continue;
}
// token accumulation
$value .= $this->formula[$index];
++$index;
}
// dump remaining accumulation
if (strlen($value) > 0) {
$tokens1[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERAND);
}
// move tokenList to new set, excluding unnecessary white-space tokens and converting necessary ones to intersections
$tokenCount = count($tokens1);
for ($i = 0; $i < $tokenCount; ++$i) {
$token = $tokens1[$i];
if (isset($tokens1[$i - 1])) {
$previousToken = $tokens1[$i - 1];
} else {
$previousToken = null;
}
if (isset($tokens1[$i + 1])) {
$nextToken = $tokens1[$i + 1];
} else {
$nextToken = null;
}
if ($token === null) {
continue;
}
if ($token->getTokenType() != FormulaToken::TOKEN_TYPE_WHITESPACE) {
$tokens2[] = $token;
continue;
}
if ($previousToken === null) {
continue;
}
if (
!(
(($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_FUNCTION) && ($previousToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_STOP)) ||
(($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_SUBEXPRESSION) && ($previousToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_STOP)) ||
($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_OPERAND)
)
) {
continue;
}
if ($nextToken === null) {
continue;
}
if (
!(
(($nextToken->getTokenType() == FormulaToken::TOKEN_TYPE_FUNCTION) && ($nextToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_START)) ||
(($nextToken->getTokenType() == FormulaToken::TOKEN_TYPE_SUBEXPRESSION) && ($nextToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_START)) ||
($nextToken->getTokenType() == FormulaToken::TOKEN_TYPE_OPERAND)
)
) {
continue;
}
$tokens2[] = new FormulaToken($value, FormulaToken::TOKEN_TYPE_OPERATORINFIX, FormulaToken::TOKEN_SUBTYPE_INTERSECTION);
}
// move tokens to final list, switching infix "-" operators to prefix when appropriate, switching infix "+" operators
// to noop when appropriate, identifying operand and infix-operator subtypes, and pulling "@" from function names
$this->tokens = [];
$tokenCount = count($tokens2);
for ($i = 0; $i < $tokenCount; ++$i) {
$token = $tokens2[$i];
if (isset($tokens2[$i - 1])) {
$previousToken = $tokens2[$i - 1];
} else {
$previousToken = null;
}
if (isset($tokens2[$i + 1])) {
$nextToken = $tokens2[$i + 1];
} else {
$nextToken = null;
}
if ($token === null) {
continue;
}
if ($token->getTokenType() == FormulaToken::TOKEN_TYPE_OPERATORINFIX && $token->getValue() == '-') {
if ($i == 0) {
$token->setTokenType(FormulaToken::TOKEN_TYPE_OPERATORPREFIX);
} elseif (
(($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_FUNCTION) &&
($previousToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_STOP)) ||
(($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_SUBEXPRESSION) &&
($previousToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_STOP)) ||
($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_OPERATORPOSTFIX) ||
($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_OPERAND)
) {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_MATH);
} else {
$token->setTokenType(FormulaToken::TOKEN_TYPE_OPERATORPREFIX);
}
$this->tokens[] = $token;
continue;
}
if ($token->getTokenType() == FormulaToken::TOKEN_TYPE_OPERATORINFIX && $token->getValue() == '+') {
if ($i == 0) {
continue;
} elseif (
(($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_FUNCTION) &&
($previousToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_STOP)) ||
(($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_SUBEXPRESSION) &&
($previousToken->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_STOP)) ||
($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_OPERATORPOSTFIX) ||
($previousToken->getTokenType() == FormulaToken::TOKEN_TYPE_OPERAND)
) {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_MATH);
} else {
continue;
}
$this->tokens[] = $token;
continue;
}
if (
$token->getTokenType() == FormulaToken::TOKEN_TYPE_OPERATORINFIX &&
$token->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_NOTHING
) {
if (strpos('<>=', substr($token->getValue(), 0, 1)) !== false) {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_LOGICAL);
} elseif ($token->getValue() == '&') {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_CONCATENATION);
} else {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_MATH);
}
$this->tokens[] = $token;
continue;
}
if (
$token->getTokenType() == FormulaToken::TOKEN_TYPE_OPERAND &&
$token->getTokenSubType() == FormulaToken::TOKEN_SUBTYPE_NOTHING
) {
if (!is_numeric($token->getValue())) {
if (strtoupper($token->getValue()) == 'TRUE' || strtoupper($token->getValue()) == 'FALSE') {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_LOGICAL);
} else {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_RANGE);
}
} else {
$token->setTokenSubType(FormulaToken::TOKEN_SUBTYPE_NUMBER);
}
$this->tokens[] = $token;
continue;
}
if ($token->getTokenType() == FormulaToken::TOKEN_TYPE_FUNCTION) {
if (strlen($token->getValue()) > 0) {
if (substr($token->getValue(), 0, 1) == '@') {
$token->setValue(substr($token->getValue(), 1));
}
}
}
$this->tokens[] = $token;
}
}
}
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