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