PHP Algorithm for Inverse Polish expressions-dedicated for wage calculation

Source: Internet
Author: User

A netizen wrote to me about the salary calculation in PHP. In my previous article, I talked about a method to calculate wages, but it was just a coincidence that I used an existing expression tool. Now, if someone wants it, I will give an algorithm against Poland.

Our goal is to implement the following formula:

Assume that there is a formula as follows:

$expression = "(F1*F12+10.34)";

The variable values are as follows:

$expression_value = Array('F1'=>10,'F12'=>20);

We hope to use PHP to construct a class to calculate the value of this expression. This kind of application is mainly used in web wage management, where users can customize their wage phase formulas.

$ Rpn = new Math_Rpn ();
$ Rpn-> setExpressionValue ($ expression_value );
Echo $ rpn-> calculate ($ expression, 'deg ', false); // It is the corresponding value.

The method for parsing the inverse polish expression. In the compilation principle, the expression is first decomposed into a symbol array, then the inverse Polish formula is obtained, and the result is obtained according to the inverse Polish formula.

I put the three functions below respectively. In essence, I Hack the RPN function of Pear.

function _stringToArray () {
$temp_operator = null;
$temp_value = null;

$this->_input = str_replace(" ","",$this->_input);

for($i = 0; $i < strlen($this->_input); $i++) {
if ($this->_input[$i] == ' ') {
  if ($temp_operator != null) {
array_push($this->_input_array, $temp_operator);
$temp_operator = null;
  }
  if ($temp_value != null) {
array_push($this->_input_array, $temp_value);
$temp_value = null;
  }
} elseif (($temp_value == null) && $temp_operator != ')' &&

(!array_key_exists($temp_operator,$this->_operation) ||

!array_key_exists(2,$this->_operation[$temp_operator]) ||

$this->_operation[$temp_operator][2]>0) && ($this->_input[$i] == '-')) {
  if ($temp_operator != null) {
array_push($this->_input_array, $temp_operator);
$temp_operator = null;
  }

  array_push($this->_input_array, '-1');
  array_push($this->_input_array, '*');
//} elseif ((is_numeric($this->_input[$i])) || ($this->_input[$i] == '.')) {
} elseif ((is_numeric($this->_input[$i])) || ($this->_input[$i] == '.') ||

($this->_input[$i] == 'F')) {
  if ($temp_operator != null) {
array_push($this->_input_array, $temp_operator);
$temp_operator = null;
  }

  $temp_value .= $this->_input[$i];
} else {
  if ($this->_keyExists($temp_operator, $this->_operation, 1)) {
array_push($this->_input_array, $temp_operator);
$temp_operator = null;
  }

  if ($temp_value != null) {
array_push($this->_input_array, $temp_value);
$temp_value = null;
  }

  $temp_operator .= $this->_input[$i];
}
}

if ($temp_operator != null && $temp_operator != ' ') {
array_push($this->_input_array, $temp_operator);
} elseif($temp_value != null && $temp_value != ' ') {
array_push($this->_input_array, $temp_value);
}

// $this->_testInput();
print_r($this->_expression_value);
print_r($this->_input_array);
return $this->_input_array;
  }

  function _arrayToRpn() {

if ($this->_error <> null) {
$this->_output = array();
return $this->_output;
}

for($i = 0; $i < count($this->_input_array); $i++) {

$temp = $this->_input_array[$i];

if (is_numeric($temp)) {
  $this->_outputAdd($temp);
} else if($this->_keyExists($temp, $this->_expression_value, 0)) {
  $this->_outputAdd($this->_expression_value[$temp]);
} else {
  if ($temp == ')') {
while(!$this->_stackEmpty() && ($this->_stackPriority() >= 1)) {
$this->_outputAdd($this->_stackDelete());
}
if (!$this->_stackEmpty()) {
$this->_stackDelete();
}

  } elseif ($temp=='(') {
$this->_stackAdd($temp);
  } elseif (($this->_stackEmpty()) || (($this->_priority($temp) >

$this->_stackPriority()))) {
$this-> _stackAdd($temp);
  } else {
while(!$this->_stackEmpty() && ($this->_priority($temp)

<= $this->_stackPriority())) {
$this->_outputAdd($this->_stackDelete());
}
$this->_stackAdd($temp);
  }

}

}

while(!$this->_stackEmpty()) {
$this->_outputAdd($this->_stackDelete());
}

return $this->_output;
}

function _rpnToValue() {

$time1 = $this->_getMicroTime();

if ($this->_error <> null) {
$this->_value = null;
return $this->_value;
}

$this->_value = 0;
$temp = $this->_output;

do {
$pos = $this->_nextOperator($temp);

if ($pos == -1) {
  $this->_error = $this->_raiseError('Syntax error');
  $this->_value = null;
  return $this->_value;
}

$operator = $this->_operation[$temp[$pos]];
$arg = $operator[2];
$function = $operator[3];

if (($arg==2) && (!isset($temp[$pos-1]) || !is_numeric($temp[$pos-1]) ||

!isset($temp[$pos-2]) || !is_numeric($temp[$pos-2]))) {
  $this->_error = $this->_raiseError('Syntax error');
  $this->_value = null;
  return $this->_value;
} elseif (($arg==1) && (!isset($temp[$pos-1]) || !is_numeric($temp[$pos-1]))) {
  $this->_error = $this->_raiseError('Syntax error');
  $this->_value = null;
  return $this->_value;
}

if(is_array($function)) {

  if($arg==2) $arg_array = array($temp[$pos-2],$temp[$pos-1]);
  elseif($arg==1) $arg_array = array($temp[$pos-1]);
  else $arg_array = array();

  if($function['type'] == 'userFunction') {
$this->_value = call_user_func_array($function['function'], $arg_array);
  } else {
$function_array = array(&$function['class'], $function['method']);
$this->_value = call_user_func_array($function_array, $arg_array);
  }
} else {
  $this->_value = $this->$function($temp, $pos);
}

if ($this->_isNan($this->_value)) {
  $this->_error = $this->_raiseError('NAN value');
  $this->_value = null;
  return $this->_value;
} elseif ($this->_isInfinite($this->_value)) {
  $this->_error = $this->_raiseError('Infinite value');
  $this->_value = null;
  return $this->_value;
} elseif (is_null($this->_value)) {
  return $this->_value;
}

$temp = $this->_refresh($temp, $pos, $arg, $this->_value);
} while(count($temp) > 1);

$this->_value = $temp[0];

$time2 = $this->_getMicroTime();

$this->_timer = $time2 - $time1;

return $this->_value;
  }


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