2.71, 'pi' => 3.14 ); /** * User-defined functions. * * @var array */ public static $f = array(); /** * Constants. * * @var array */ public static $vb = array( 'e', 'pi' ); /** * Built-in functions. * * @var array */ public static $fb = array(); /** * Evaluate maths string. * * @param string $expr * @return mixed */ public static function evaluate( $expr ) { self::$last_error = null; $expr = trim( $expr ); if ( substr( $expr, -1, 1 ) == ';' ) { $expr = substr( $expr, 0, strlen( $expr ) -1 ); // strip semicolons at the end } // =============== // is it a variable assignment? if ( preg_match( '/^\s*([a-z]\w*)\s*=\s*(.+)$/', $expr, $matches ) ) { if ( in_array( $matches[1], self::$vb ) ) { // make sure we're not assigning to a constant return self::trigger( "cannot assign to constant '$matches[1]'" ); } if ( ( $tmp = self::pfx( self::nfx( $matches[2] ) ) ) === false ) { return false; // get the result and make sure it's good } self::$v[ $matches[1] ] = $tmp; // if so, stick it in the variable array return self::$v[ $matches[1] ]; // and return the resulting value // =============== // is it a function assignment? } elseif ( preg_match( '/^\s*([a-z]\w*)\s*\(\s*([a-z]\w*(?:\s*,\s*[a-z]\w*)*)\s*\)\s*=\s*(.+)$/', $expr, $matches ) ) { $fnn = $matches[1]; // get the function name if ( in_array( $matches[1], self::$fb ) ) { // make sure it isn't built in return self::trigger( "cannot redefine built-in function '$matches[1]()'" ); } $args = explode( ",", preg_replace( "/\s+/", "", $matches[2] ) ); // get the arguments if ( ( $stack = self::nfx( $matches[3] ) ) === false ) { return false; // see if it can be converted to postfix } $stack_size = count( $stack ); for ( $i = 0; $i < $stack_size; $i++ ) { // freeze the state of the non-argument variables $token = $stack[ $i ]; if ( preg_match( '/^[a-z]\w*$/', $token ) and ! in_array( $token, $args ) ) { if ( array_key_exists( $token, self::$v ) ) { $stack[ $i ] = self::$v[ $token ]; } else { return self::trigger( "undefined variable '$token' in function definition" ); } } } self::$f[ $fnn ] = array( 'args' => $args, 'func' => $stack ); return true; // =============== } else { return self::pfx( self::nfx( $expr ) ); // straight up evaluation, woo } } /** * Convert infix to postfix notation. * * @param string $expr * * @return array|string */ private static function nfx( $expr ) { $index = 0; $stack = new WC_Eval_Math_Stack; $output = array(); // postfix form of expression, to be passed to pfx() $expr = trim( $expr ); $ops = array( '+', '-', '*', '/', '^', '_' ); $ops_r = array( '+' => 0, '-' => 0, '*' => 0, '/' => 0, '^' => 1 ); // right-associative operator? $ops_p = array( '+' => 0, '-' => 0, '*' => 1, '/' => 1, '_' => 1, '^' => 2 ); // operator precedence $expecting_op = false; // we use this in syntax-checking the expression // and determining when a - is a negation if ( preg_match( "/[^\w\s+*^\/()\.,-]/", $expr, $matches ) ) { // make sure the characters are all good return self::trigger( "illegal character '{$matches[0]}'" ); } while ( 1 ) { // 1 Infinite Loop ;) $op = substr( $expr, $index, 1 ); // get the first character at the current index // find out if we're currently at the beginning of a number/variable/function/parenthesis/operand $ex = preg_match( '/^([A-Za-z]\w*\(?|\d+(?:\.\d*)?|\.\d+|\()/', substr( $expr, $index ), $match ); // =============== if ( '-' === $op and ! $expecting_op ) { // is it a negation instead of a minus? $stack->push( '_' ); // put a negation on the stack $index++; } elseif ( '_' === $op ) { // we have to explicitly deny this, because it's legal on the stack return self::trigger( "illegal character '_'" ); // but not in the input expression // =============== } elseif ( ( in_array( $op, $ops ) or $ex ) and $expecting_op ) { // are we putting an operator on the stack? if ( $ex ) { // are we expecting an operator but have a number/variable/function/opening parethesis? $op = '*'; $index--; // it's an implicit multiplication } // heart of the algorithm: while ( $stack->count > 0 and ( $o2 = $stack->last() ) and in_array( $o2, $ops ) and ( $ops_r[ $op ] ? $ops_p[ $op ] < $ops_p[ $o2 ] : $ops_p[ $op ] <= $ops_p[ $o2 ] ) ) { $output[] = $stack->pop(); // pop stuff off the stack into the output } // many thanks: https://en.wikipedia.org/wiki/Reverse_Polish_notation#The_algorithm_in_detail $stack->push( $op ); // finally put OUR operator onto the stack $index++; $expecting_op = false; // =============== } elseif ( ')' === $op && $expecting_op ) { // ready to close a parenthesis? while ( ( $o2 = $stack->pop() ) != '(' ) { // pop off the stack back to the last ( if ( is_null( $o2 ) ) { return self::trigger( "unexpected ')'" ); } else { $output[] = $o2; } } if ( preg_match( "/^([A-Za-z]\w*)\($/", $stack->last( 2 ), $matches ) ) { // did we just close a function? $fnn = $matches[1]; // get the function name $arg_count = $stack->pop(); // see how many arguments there were (cleverly stored on the stack, thank you) $output[] = $stack->pop(); // pop the function and push onto the output if ( in_array( $fnn, self::$fb ) ) { // check the argument count if ( $arg_count > 1 ) { return self::trigger( "too many arguments ($arg_count given, 1 expected)" ); } } elseif ( array_key_exists( $fnn, self::$f ) ) { if ( count( self::$f[ $fnn ]['args'] ) != $arg_count ) { return self::trigger( "wrong number of arguments ($arg_count given, " . count( self::$f[ $fnn ]['args'] ) . " expected)" ); } } else { // did we somehow push a non-function on the stack? this should never happen return self::trigger( "internal error" ); } } $index++; // =============== } elseif ( ',' === $op and $expecting_op ) { // did we just finish a function argument? while ( ( $o2 = $stack->pop() ) != '(' ) { if ( is_null( $o2 ) ) { return self::trigger( "unexpected ','" ); // oops, never had a ( } else { $output[] = $o2; // pop the argument expression stuff and push onto the output } } // make sure there was a function if ( ! preg_match( "/^([A-Za-z]\w*)\($/", $stack->last( 2 ), $matches ) ) { return self::trigger( "unexpected ','" ); } $stack->push( $stack->pop() + 1 ); // increment the argument count $stack->push( '(' ); // put the ( back on, we'll need to pop back to it again $index++; $expecting_op = false; // =============== } elseif ( '(' === $op and ! $expecting_op ) { $stack->push( '(' ); // that was easy $index++; // =============== } elseif ( $ex and ! $expecting_op ) { // do we now have a function/variable/number? $expecting_op = true; $val = $match[1]; if ( preg_match( "/^([A-Za-z]\w*)\($/", $val, $matches ) ) { // may be func, or variable w/ implicit multiplication against parentheses... if ( in_array( $matches[1], self::$fb ) or array_key_exists( $matches[1], self::$f ) ) { // it's a func $stack->push( $val ); $stack->push( 1 ); $stack->push( '(' ); $expecting_op = false; } else { // it's a var w/ implicit multiplication $val = $matches[1]; $output[] = $val; } } else { // it's a plain old var or num $output[] = $val; } $index += strlen( $val ); // =============== } elseif ( ')' === $op ) { // miscellaneous error checking return self::trigger( "unexpected ')'" ); } elseif ( in_array( $op, $ops ) and ! $expecting_op ) { return self::trigger( "unexpected operator '$op'" ); } else { // I don't even want to know what you did to get here return self::trigger( "an unexpected error occurred" ); } if ( strlen( $expr ) == $index ) { if ( in_array( $op, $ops ) ) { // did we end with an operator? bad. return self::trigger( "operator '$op' lacks operand" ); } else { break; } } while ( substr( $expr, $index, 1 ) == ' ' ) { // step the index past whitespace (pretty much turns whitespace $index++; // into implicit multiplication if no operator is there) } } while ( ! is_null( $op = $stack->pop() ) ) { // pop everything off the stack and push onto output if ( '(' === $op ) { return self::trigger( "expecting ')'" ); // if there are (s on the stack, ()s were unbalanced } $output[] = $op; } return $output; } /** * Evaluate postfix notation. * * @param mixed $tokens * @param array $vars * * @return mixed */ private static function pfx( $tokens, $vars = array() ) { if ( false == $tokens ) { return false; } $stack = new WC_Eval_Math_Stack; foreach ( $tokens as $token ) { // nice and easy // if the token is a binary operator, pop two values off the stack, do the operation, and push the result back on if ( in_array( $token, array( '+', '-', '*', '/', '^' ) ) ) { if ( is_null( $op2 = $stack->pop() ) ) { return self::trigger( "internal error" ); } if ( is_null( $op1 = $stack->pop() ) ) { return self::trigger( "internal error" ); } switch ( $token ) { case '+': $stack->push( $op1 + $op2 ); break; case '-': $stack->push( $op1 - $op2 ); break; case '*': $stack->push( $op1 * $op2 ); break; case '/': if ( 0 == $op2 ) { return self::trigger( 'division by zero' ); } $stack->push( $op1 / $op2 ); break; case '^': $stack->push( pow( $op1, $op2 ) ); break; } // if the token is a unary operator, pop one value off the stack, do the operation, and push it back on } elseif ( '_' === $token ) { $stack->push( -1 * $stack->pop() ); // if the token is a function, pop arguments off the stack, hand them to the function, and push the result back on } elseif ( ! preg_match( "/^([a-z]\w*)\($/", $token, $matches ) ) { if ( is_numeric( $token ) ) { $stack->push( $token ); } elseif ( array_key_exists( $token, self::$v ) ) { $stack->push( self::$v[ $token ] ); } elseif ( array_key_exists( $token, $vars ) ) { $stack->push( $vars[ $token ] ); } else { return self::trigger( "undefined variable '$token'" ); } } } // when we're out of tokens, the stack should have a single element, the final result if ( 1 != $stack->count ) { return self::trigger( "internal error" ); } return $stack->pop(); } /** * Trigger an error, but nicely, if need be. * * @param string $msg * * @return bool */ private static function trigger( $msg ) { self::$last_error = $msg; if ( defined( 'WP_DEBUG' ) && WP_DEBUG ) { echo "\nError found in:"; self::debugPrintCallingFunction(); trigger_error( $msg, E_USER_WARNING ); } return false; } /** * Prints the file name, function name, and * line number which called your function * (not this function, then one that called * it to begin with) */ private static function debugPrintCallingFunction() { $file = 'n/a'; $func = 'n/a'; $line = 'n/a'; $debugTrace = debug_backtrace(); if ( isset( $debugTrace[1] ) ) { $file = $debugTrace[1]['file'] ? $debugTrace[1]['file'] : 'n/a'; $line = $debugTrace[1]['line'] ? $debugTrace[1]['line'] : 'n/a'; } if ( isset( $debugTrace[2] ) ) { $func = $debugTrace[2]['function'] ? $debugTrace[2]['function'] : 'n/a'; } echo "\n$file, $func, $line\n"; } } /** * Class WC_Eval_Math_Stack. */ class WC_Eval_Math_Stack { /** * Stack array. * * @var array */ public $stack = array(); /** * Stack counter. * * @var integer */ public $count = 0; /** * Push value into stack. * * @param mixed $val */ public function push( $val ) { $this->stack[ $this->count ] = $val; $this->count++; } /** * Pop value from stack. * * @return mixed */ public function pop() { if ( $this->count > 0 ) { $this->count--; return $this->stack[ $this->count ]; } return null; } /** * Get last value from stack. * * @param int $n * * @return mixed */ public function last( $n=1 ) { $key = $this->count - $n; return array_key_exists( $key, $this->stack ) ? $this->stack[ $key ] : null; } } }