*/ class Calc { private function __construct() {} /* We could also just eval() the $infix_math code, but this is much cooler :-D (Parser inception) */ public static function shunting_yard($infix_math) { $operators = array( "+" => array("l", 2), "-" => array("l", 2), "*" => array("l", 3), "/" => array("l", 3), "^" => array("r", 4), "_" => array("r", 5), "(" => array("", 0), ")" => array("", 0) ); preg_match_all("/\s*(?:(?:[+\\-\\*\\/\\^\\(\\)])|(\\d*[\\.]?\\d*))\\s*/s", $infix_math, $tokens, PREG_PATTERN_ORDER); $tokens_raw = array_filter(array_map('trim', $tokens[0]), function($x) { return ($x === "0") || (!empty($x)); }); $output_queue = array(); $op_stack = array(); $lastpriority = NULL; /* Make - unary, if neccessary */ $tokens = array(); foreach($tokens_raw as $token) { $priority = isset($operators[$token]) ? $operators[$token][1] : -1; if(($token == "-") && (($lastpriority === NULL) || ($lastpriority >= 0))) { $priority = $operators["_"][1]; $tokens[] = "_"; } else { $tokens[] = $token; } $lastpriority = $priority; } while(!empty($tokens)) { $token = array_shift($tokens); if(is_numeric($token)) { $output_queue[] = $token; } else if($token == "(") { $op_stack[] = $token; } else if($token == ")") { $lbr_found = false; while(!empty($op_stack)) { $op = array_pop($op_stack); if($op == "(") { $lbr_found = true; break; } $output_queue[] = $op; } if(!$lbr_found) { throw new RuntimeError("Bracket mismatch."); } } else if(!isset($operators[$token])) { throw new RuntimeError("Invalid token ($token): Not a number, bracket or operator. Stop."); } else { $priority = $operators[$token][1]; if($operators[$token][0] == "l") { while((!empty($op_stack)) and ($priority <= $operators[$op_stack[count($op_stack)-1]][1])) { $output_queue[] = array_pop($op_stack); } } else { while((!empty($op_stack)) and ($priority < $operators[$op_stack[count($op_stack)-1]][1])) { $output_queue[] = array_pop($op_stack); } } $op_stack[] = $token; } } while(!empty($op_stack)) { $op = array_pop($op_stack); if($op == "(") { throw new RuntimeError("Bracket mismatch..."); } $output_queue[] = $op; } return $output_queue; } public static function pop2(&$array) { $rv = array(array_pop($array), array_pop($array)); if(array_search(NULL, $rv, true) !== false) { throw new RuntimeError("Not enough numbers on stack. Invalid formula."); } return $rv; } public static function calc_rpn($rpn) { $stack = array(); foreach($rpn as $token) { switch($token) { case "+": list($b, $a) = self::pop2($stack); $stack[] = $a + $b; break; case "-": list($b, $a) = self::pop2($stack); $stack[] = $a - $b; break; case "*": list($b, $a) = self::pop2($stack); $stack[] = $a * $b; break; case "/": list($b, $a) = self::pop2($stack); $stack[] = $a / $b; break; case "^": list($b, $a) = self::pop2($stack); $stack[] = pow($a, $b); break; case "_": $a = array_pop($stack); if($a === NULL) { throw new RuntimeError("Not enough numbers on stack. Invalid formula."); } $stack[] = -$a; break; default: $stack[] = $token; break; } } return array_pop($stack); } public static function calc($expr) { return self::calc_rpn(self::shunting_yard($expr)); } }