java.lang.Object
- org.apache.commons.lang.BooleanUtils

```
public class BooleanUtils
extends Object
```
Operations on boolean primitives and Boolean objects.

This class tries to handle null input gracefully. An exception will not be thrown for a null input. Each method documents its behaviour in more detail.

#ThreadSafe#

Since:

2.0

Version:

$Id: BooleanUtils.java 1057037 2011-01-09 21:35:32Z niallp $

Constructor Summary

Constructors
Constructor Description

BooleanUtils()
BooleanUtils instances should NOT be constructed in standard programming.

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static boolean`	`isFalse(Boolean bool)`	Checks if a `Boolean` value is `false`, handling `null` by returning `false`.
`static boolean`	`isNotFalse(Boolean bool)`	Checks if a `Boolean` value is not `false`, handling `null` by returning `true`.
`static boolean`	`isNotTrue(Boolean bool)`	Checks if a `Boolean` value is not `true`, handling `null` by returning `true`.
`static boolean`	`isTrue(Boolean bool)`	Checks if a `Boolean` value is `true`, handling `null` by returning `false`.
`static Boolean`	`negate(Boolean bool)`	Negates the specified boolean.
`static boolean`	`toBoolean(int value)`	Converts an int to a boolean using the convention that `zero` is `false`.
`static boolean`	`toBoolean(int value, int trueValue, int falseValue)`	Converts an int to a boolean specifying the conversion values.
`static boolean`	`toBoolean(Boolean bool)`	Converts a Boolean to a boolean handling `null` by returning `false`.
`static boolean`	`toBoolean(Integer value, Integer trueValue, Integer falseValue)`	Converts an Integer to a boolean specifying the conversion values.
`static boolean`	`toBoolean(String str)`	Converts a String to a boolean (optimised for performance).
`static boolean`	`toBoolean(String str, String trueString, String falseString)`	Converts a String to a Boolean throwing an exception if no match found.
`static boolean`	`toBooleanDefaultIfNull(Boolean bool, boolean valueIfNull)`	Converts a Boolean to a boolean handling `null`.
`static Boolean`	`toBooleanObject(boolean bool)`	Boolean factory that avoids creating new Boolean objecs all the time.
`static Boolean`	`toBooleanObject(int value)`	Converts an int to a Boolean using the convention that `zero` is `false`.
`static Boolean`	`toBooleanObject(int value, int trueValue, int falseValue, int nullValue)`	Converts an int to a Boolean specifying the conversion values.
`static Boolean`	`toBooleanObject(Integer value)`	Converts an Integer to a Boolean using the convention that `zero` is `false`.
`static Boolean`	`toBooleanObject(Integer value, Integer trueValue, Integer falseValue, Integer nullValue)`	Converts an Integer to a Boolean specifying the conversion values.
`static Boolean`	`toBooleanObject(String str)`	Converts a String to a Boolean.
`static Boolean`	`toBooleanObject(String str, String trueString, String falseString, String nullString)`	Converts a String to a Boolean throwing an exception if no match.
`static int`	`toInteger(boolean bool)`	Converts a boolean to an int using the convention that `zero` is `false`.
`static int`	`toInteger(boolean bool, int trueValue, int falseValue)`	Converts a boolean to an int specifying the conversion values.
`static int`	`toInteger(Boolean bool, int trueValue, int falseValue, int nullValue)`	Converts a Boolean to an int specifying the conversion values.
`static Integer`	`toIntegerObject(boolean bool)`	Converts a boolean to an Integer using the convention that `zero` is `false`.
`static Integer`	`toIntegerObject(boolean bool, Integer trueValue, Integer falseValue)`	Converts a boolean to an Integer specifying the conversion values.
`static Integer`	`toIntegerObject(Boolean bool)`	Converts a Boolean to a Integer using the convention that `zero` is `false`.
`static Integer`	`toIntegerObject(Boolean bool, Integer trueValue, Integer falseValue, Integer nullValue)`	Converts a Boolean to an Integer specifying the conversion values.
`static String`	`toString(boolean bool, String trueString, String falseString)`	Converts a boolean to a String returning one of the input Strings.
`static String`	`toString(Boolean bool, String trueString, String falseString, String nullString)`	Converts a Boolean to a String returning one of the input Strings.
`static String`	`toStringOnOff(boolean bool)`	Converts a boolean to a String returning `'on'` or `'off'`.
`static String`	`toStringOnOff(Boolean bool)`	Converts a Boolean to a String returning `'on'`, `'off'`, or `null`.
`static String`	`toStringTrueFalse(boolean bool)`	Converts a boolean to a String returning `'true'` or `'false'`.
`static String`	`toStringTrueFalse(Boolean bool)`	Converts a Boolean to a String returning `'true'`, `'false'`, or `null`.
`static String`	`toStringYesNo(boolean bool)`	Converts a boolean to a String returning `'yes'` or `'no'`.
`static String`	`toStringYesNo(Boolean bool)`	Converts a Boolean to a String returning `'yes'`, `'no'`, or `null`.
`static boolean`	`xor(boolean[] array)`	Performs an xor on a set of booleans.
`static Boolean`	`xor(Boolean[] array)`	Performs an xor on an array of Booleans.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail
- BooleanUtils
```
public BooleanUtils()
```
  BooleanUtils instances should NOT be constructed in standard programming. Instead, the class should be used as BooleanUtils.toBooleanObject(true);.
  
  This constructor is public to permit tools that require a JavaBean instance to operate.

Method Detail

negate

public static Boolean negate(Boolean bool)

Negates the specified boolean.

If null is passed in, null will be returned.

   BooleanUtils.negate(Boolean.TRUE)  = Boolean.FALSE;
   BooleanUtils.negate(Boolean.FALSE) = Boolean.TRUE;
   BooleanUtils.negate(null)          = null;

Parameters:: bool - the Boolean to negate, may be null
Returns:: the negated Boolean, or null if null input

isTrue

public static boolean isTrue(Boolean bool)

Checks if a Boolean value is true, handling null by returning false.

   BooleanUtils.isTrue(Boolean.TRUE)  = true
   BooleanUtils.isTrue(Boolean.FALSE) = false
   BooleanUtils.isTrue(null)          = false

Parameters:: bool - the boolean to check, null returns false
Returns:: true only if the input is non-null and true
Since:: 2.1

isNotTrue

public static boolean isNotTrue(Boolean bool)

Checks if a Boolean value is not true, handling null by returning true.

   BooleanUtils.isNotTrue(Boolean.TRUE)  = false
   BooleanUtils.isNotTrue(Boolean.FALSE) = true
   BooleanUtils.isNotTrue(null)          = true

Parameters:: bool - the boolean to check, null returns true
Returns:: true if the input is null or false
Since:: 2.3

isFalse

public static boolean isFalse(Boolean bool)

Checks if a Boolean value is false, handling null by returning false.

   BooleanUtils.isFalse(Boolean.TRUE)  = false
   BooleanUtils.isFalse(Boolean.FALSE) = true
   BooleanUtils.isFalse(null)          = false

Parameters:: bool - the boolean to check, null returns false
Returns:: true only if the input is non-null and false
Since:: 2.1

isNotFalse

public static boolean isNotFalse(Boolean bool)

Checks if a Boolean value is not false, handling null by returning true.

   BooleanUtils.isNotFalse(Boolean.TRUE)  = true
   BooleanUtils.isNotFalse(Boolean.FALSE) = false
   BooleanUtils.isNotFalse(null)          = true

Parameters:: bool - the boolean to check, null returns true
Returns:: true if the input is null or true
Since:: 2.3

toBooleanObject
```
public static Boolean toBooleanObject(boolean bool)
```
Boolean factory that avoids creating new Boolean objecs all the time.

This method was added to JDK1.4 but is available here for earlier JDKs.
```
   BooleanUtils.toBooleanObject(false) = Boolean.FALSE
   BooleanUtils.toBooleanObject(true)  = Boolean.TRUE
 
```
Parameters:

bool - the boolean to convert

Returns:

Boolean.TRUE or Boolean.FALSE as appropriate

toBoolean

public static boolean toBoolean(Boolean bool)

Converts a Boolean to a boolean handling null by returning false.

   BooleanUtils.toBoolean(Boolean.TRUE)  = true
   BooleanUtils.toBoolean(Boolean.FALSE) = false
   BooleanUtils.toBoolean(null)          = false

Parameters:: bool - the boolean to convert
Returns:: true or false, null returns false

toBooleanDefaultIfNull

public static boolean toBooleanDefaultIfNull(Boolean bool,
                                             boolean valueIfNull)

Converts a Boolean to a boolean handling null.

   BooleanUtils.toBooleanDefaultIfNull(Boolean.TRUE, false) = true
   BooleanUtils.toBooleanDefaultIfNull(Boolean.FALSE, true) = false
   BooleanUtils.toBooleanDefaultIfNull(null, true)          = true

Parameters:: bool - the boolean to convert; valueIfNull - the boolean value to return if null
Returns:: true or false

toBoolean

public static boolean toBoolean(int value)

Converts an int to a boolean using the convention that zero is false.

   BooleanUtils.toBoolean(0) = false
   BooleanUtils.toBoolean(1) = true
   BooleanUtils.toBoolean(2) = true

Parameters:: value - the int to convert
Returns:: true if non-zero, false if zero

toBooleanObject

public static Boolean toBooleanObject(int value)

Converts an int to a Boolean using the convention that zero is false.

   BooleanUtils.toBoolean(0) = Boolean.FALSE
   BooleanUtils.toBoolean(1) = Boolean.TRUE
   BooleanUtils.toBoolean(2) = Boolean.TRUE

Parameters:: value - the int to convert
Returns:: Boolean.TRUE if non-zero, Boolean.FALSE if zero, null if null

toBooleanObject

public static Boolean toBooleanObject(Integer value)

Converts an Integer to a Boolean using the convention that zero is false.

null will be converted to null.

   BooleanUtils.toBoolean(new Integer(0))    = Boolean.FALSE
   BooleanUtils.toBoolean(new Integer(1))    = Boolean.TRUE
   BooleanUtils.toBoolean(new Integer(null)) = null

Parameters:: value - the Integer to convert
Returns:: Boolean.TRUE if non-zero, Boolean.FALSE if zero, null if null input

toBoolean

public static boolean toBoolean(int value,
                                int trueValue,
                                int falseValue)

Converts an int to a boolean specifying the conversion values.

   BooleanUtils.toBoolean(0, 1, 0) = false
   BooleanUtils.toBoolean(1, 1, 0) = true
   BooleanUtils.toBoolean(2, 1, 2) = false
   BooleanUtils.toBoolean(2, 2, 0) = true

Parameters:: value - the Integer to convert; trueValue - the value to match for true; falseValue - the value to match for false
Returns:: true or false
Throws:: IllegalArgumentException - if no match

toBoolean

public static boolean toBoolean(Integer value,
                                Integer trueValue,
                                Integer falseValue)

Converts an Integer to a boolean specifying the conversion values.

   BooleanUtils.toBoolean(new Integer(0), new Integer(1), new Integer(0)) = false
   BooleanUtils.toBoolean(new Integer(1), new Integer(1), new Integer(0)) = true
   BooleanUtils.toBoolean(new Integer(2), new Integer(1), new Integer(2)) = false
   BooleanUtils.toBoolean(new Integer(2), new Integer(2), new Integer(0)) = true
   BooleanUtils.toBoolean(null, null, new Integer(0))                     = true

Parameters:: value - the Integer to convert; trueValue - the value to match for true, may be null; falseValue - the value to match for false, may be null
Returns:: true or false
Throws:: IllegalArgumentException - if no match

toBooleanObject

public static Boolean toBooleanObject(int value,
                                      int trueValue,
                                      int falseValue,
                                      int nullValue)

Converts an int to a Boolean specifying the conversion values.

   BooleanUtils.toBooleanObject(0, 0, 2, 3) = Boolean.TRUE
   BooleanUtils.toBooleanObject(2, 1, 2, 3) = Boolean.FALSE
   BooleanUtils.toBooleanObject(3, 1, 2, 3) = null

Parameters:: value - the Integer to convert; trueValue - the value to match for true; falseValue - the value to match for false; nullValue - the value to to match for null
Returns:: Boolean.TRUE, Boolean.FALSE, or null
Throws:: IllegalArgumentException - if no match

toBooleanObject

public static Boolean toBooleanObject(Integer value,
                                      Integer trueValue,
                                      Integer falseValue,
                                      Integer nullValue)

Converts an Integer to a Boolean specifying the conversion values.

   BooleanUtils.toBooleanObject(new Integer(0), new Integer(0), new Integer(2), new Integer(3)) = Boolean.TRUE
   BooleanUtils.toBooleanObject(new Integer(2), new Integer(1), new Integer(2), new Integer(3)) = Boolean.FALSE
   BooleanUtils.toBooleanObject(new Integer(3), new Integer(1), new Integer(2), new Integer(3)) = null

Parameters:: value - the Integer to convert; trueValue - the value to match for true, may be null; falseValue - the value to match for false, may be null; nullValue - the value to to match for null, may be null
Returns:: Boolean.TRUE, Boolean.FALSE, or null
Throws:: IllegalArgumentException - if no match

toInteger
```
public static int toInteger(boolean bool)
```
Converts a boolean to an int using the convention that zero is false.
```
   BooleanUtils.toInteger(true)  = 1
   BooleanUtils.toInteger(false) = 0
 
```
Parameters:

bool - the boolean to convert

Returns:

one if true, zero if false

toIntegerObject

public static Integer toIntegerObject(boolean bool)

Converts a boolean to an Integer using the convention that zero is false.

   BooleanUtils.toIntegerObject(true)  = new Integer(1)
   BooleanUtils.toIntegerObject(false) = new Integer(0)

Parameters:: bool - the boolean to convert
Returns:: one if true, zero if false

toIntegerObject
```
public static Integer toIntegerObject(Boolean bool)
```
Converts a Boolean to a Integer using the convention that zero is false.

null will be converted to null.
```
   BooleanUtils.toIntegerObject(Boolean.TRUE)  = new Integer(1)
   BooleanUtils.toIntegerObject(Boolean.FALSE) = new Integer(0)
 
```
Parameters:

bool - the Boolean to convert

Returns:

one if Boolean.TRUE, zero if Boolean.FALSE, null if null

toInteger

public static int toInteger(boolean bool,
                            int trueValue,
                            int falseValue)

Converts a boolean to an int specifying the conversion values.

   BooleanUtils.toInteger(true, 1, 0)  = 1
   BooleanUtils.toInteger(false, 1, 0) = 0

Parameters:: bool - the to convert; trueValue - the value to return if true; falseValue - the value to return if false
Returns:: the appropriate value

toInteger

public static int toInteger(Boolean bool,
                            int trueValue,
                            int falseValue,
                            int nullValue)

Converts a Boolean to an int specifying the conversion values.

   BooleanUtils.toInteger(Boolean.TRUE, 1, 0, 2)  = 1
   BooleanUtils.toInteger(Boolean.FALSE, 1, 0, 2) = 0
   BooleanUtils.toInteger(null, 1, 0, 2)          = 2

Parameters:: bool - the Boolean to convert; trueValue - the value to return if true; falseValue - the value to return if false; nullValue - the value to return if null
Returns:: the appropriate value

toIntegerObject

public static Integer toIntegerObject(boolean bool,
                                      Integer trueValue,
                                      Integer falseValue)

Converts a boolean to an Integer specifying the conversion values.

   BooleanUtils.toIntegerObject(true, new Integer(1), new Integer(0))  = new Integer(1)
   BooleanUtils.toIntegerObject(false, new Integer(1), new Integer(0)) = new Integer(0)

Parameters:: bool - the to convert; trueValue - the value to return if true, may be null; falseValue - the value to return if false, may be null
Returns:: the appropriate value

toIntegerObject

public static Integer toIntegerObject(Boolean bool,
                                      Integer trueValue,
                                      Integer falseValue,
                                      Integer nullValue)

Converts a Boolean to an Integer specifying the conversion values.

   BooleanUtils.toIntegerObject(Boolean.TRUE, new Integer(1), new Integer(0), new Integer(2))  = new Integer(1)
   BooleanUtils.toIntegerObject(Boolean.FALSE, new Integer(1), new Integer(0), new Integer(2)) = new Integer(0)
   BooleanUtils.toIntegerObject(null, new Integer(1), new Integer(0), new Integer(2))          = new Integer(2)

Parameters:: bool - the Boolean to convert; trueValue - the value to return if true, may be null; falseValue - the value to return if false, may be null; nullValue - the value to return if null, may be null
Returns:: the appropriate value

toBooleanObject

public static Boolean toBooleanObject(String str)

Converts a String to a Boolean.

'true', 'on' or 'yes' (case insensitive) will return true. 'false', 'off' or 'no' (case insensitive) will return false. Otherwise, null is returned.

   BooleanUtils.toBooleanObject(null)    = null
   BooleanUtils.toBooleanObject("true")  = Boolean.TRUE
   BooleanUtils.toBooleanObject("false") = Boolean.FALSE
   BooleanUtils.toBooleanObject("on")    = Boolean.TRUE
   BooleanUtils.toBooleanObject("ON")    = Boolean.TRUE
   BooleanUtils.toBooleanObject("off")   = Boolean.FALSE
   BooleanUtils.toBooleanObject("oFf")   = Boolean.FALSE
   BooleanUtils.toBooleanObject("blue")  = null

Parameters:: str - the String to check
Returns:: the Boolean value of the string, null if no match or null input

toBooleanObject

public static Boolean toBooleanObject(String str,
                                      String trueString,
                                      String falseString,
                                      String nullString)

Converts a String to a Boolean throwing an exception if no match.

   BooleanUtils.toBooleanObject("true", "true", "false", "null")  = Boolean.TRUE
   BooleanUtils.toBooleanObject("false", "true", "false", "null") = Boolean.FALSE
   BooleanUtils.toBooleanObject("null", "true", "false", "null")  = null

Parameters:: str - the String to check; trueString - the String to match for true (case sensitive), may be null; falseString - the String to match for false (case sensitive), may be null; nullString - the String to match for null (case sensitive), may be null
Returns:: the Boolean value of the string, null if either the String matches nullString or if null input and nullString is null
Throws:: IllegalArgumentException - if the String doesn't match

toBoolean

public static boolean toBoolean(String str)

Converts a String to a boolean (optimised for performance).

'true', 'on' or 'yes' (case insensitive) will return true. Otherwise, false is returned.

This method performs 4 times faster (JDK1.4) than Boolean.valueOf(String). However, this method accepts 'on' and 'yes' as true values.

   BooleanUtils.toBoolean(null)    = false
   BooleanUtils.toBoolean("true")  = true
   BooleanUtils.toBoolean("TRUE")  = true
   BooleanUtils.toBoolean("tRUe")  = true
   BooleanUtils.toBoolean("on")    = true
   BooleanUtils.toBoolean("yes")   = true
   BooleanUtils.toBoolean("false") = false
   BooleanUtils.toBoolean("x gti") = false

Parameters:: str - the String to check
Returns:: the boolean value of the string, false if no match or the String is null

toBoolean
```
public static boolean toBoolean(String str,
                                String trueString,
                                String falseString)
```
Converts a String to a Boolean throwing an exception if no match found.

null is returned if there is no match.
```
   BooleanUtils.toBoolean("true", "true", "false")  = true
   BooleanUtils.toBoolean("false", "true", "false") = false
 
```
Parameters:

str - the String to check

trueString - the String to match for true (case sensitive), may be null

falseString - the String to match for false (case sensitive), may be null

Returns:

the boolean value of the string

Throws:

IllegalArgumentException - if the String doesn't match

toStringTrueFalse

public static String toStringTrueFalse(Boolean bool)

Converts a Boolean to a String returning 'true', 'false', or null.

   BooleanUtils.toStringTrueFalse(Boolean.TRUE)  = "true"
   BooleanUtils.toStringTrueFalse(Boolean.FALSE) = "false"
   BooleanUtils.toStringTrueFalse(null)          = null;

Parameters:: bool - the Boolean to check
Returns:: 'true', 'false', or null

toStringOnOff

public static String toStringOnOff(Boolean bool)

Converts a Boolean to a String returning 'on', 'off', or null.

   BooleanUtils.toStringOnOff(Boolean.TRUE)  = "on"
   BooleanUtils.toStringOnOff(Boolean.FALSE) = "off"
   BooleanUtils.toStringOnOff(null)          = null;

Parameters:: bool - the Boolean to check
Returns:: 'on', 'off', or null

toStringYesNo

public static String toStringYesNo(Boolean bool)

Converts a Boolean to a String returning 'yes', 'no', or null.

   BooleanUtils.toStringYesNo(Boolean.TRUE)  = "yes"
   BooleanUtils.toStringYesNo(Boolean.FALSE) = "no"
   BooleanUtils.toStringYesNo(null)          = null;

Parameters:: bool - the Boolean to check
Returns:: 'yes', 'no', or null

toString

public static String toString(Boolean bool,
                              String trueString,
                              String falseString,
                              String nullString)

Converts a Boolean to a String returning one of the input Strings.

   BooleanUtils.toString(Boolean.TRUE, "true", "false", null)   = "true"
   BooleanUtils.toString(Boolean.FALSE, "true", "false", null)  = "false"
   BooleanUtils.toString(null, "true", "false", null)           = null;

Parameters:: bool - the Boolean to check; trueString - the String to return if true, may be null; falseString - the String to return if false, may be null; nullString - the String to return if null, may be null
Returns:: one of the three input Strings

toStringTrueFalse

public static String toStringTrueFalse(boolean bool)

Converts a boolean to a String returning 'true' or 'false'.

   BooleanUtils.toStringTrueFalse(true)   = "true"
   BooleanUtils.toStringTrueFalse(false)  = "false"

Parameters:: bool - the Boolean to check
Returns:: 'true', 'false', or null

toStringOnOff

public static String toStringOnOff(boolean bool)

Converts a boolean to a String returning 'on' or 'off'.

   BooleanUtils.toStringOnOff(true)   = "on"
   BooleanUtils.toStringOnOff(false)  = "off"

Parameters:: bool - the Boolean to check
Returns:: 'on', 'off', or null

toStringYesNo

public static String toStringYesNo(boolean bool)

Converts a boolean to a String returning 'yes' or 'no'.

   BooleanUtils.toStringYesNo(true)   = "yes"
   BooleanUtils.toStringYesNo(false)  = "no"

Parameters:: bool - the Boolean to check
Returns:: 'yes', 'no', or null

toString

public static String toString(boolean bool,
                              String trueString,
                              String falseString)

Converts a boolean to a String returning one of the input Strings.

   BooleanUtils.toString(true, "true", "false")   = "true"
   BooleanUtils.toString(false, "true", "false")  = "false"

Parameters:: bool - the Boolean to check; trueString - the String to return if true, may be null; falseString - the String to return if false, may be null
Returns:: one of the two input Strings

xor

public static boolean xor(boolean[] array)

Performs an xor on a set of booleans.

   BooleanUtils.xor(new boolean[] { true, true })   = false
   BooleanUtils.xor(new boolean[] { false, false }) = false
   BooleanUtils.xor(new boolean[] { true, false })  = true

Parameters:: array - an array of booleans
Returns:: true if the xor is successful.
Throws:: IllegalArgumentException - if array is null; IllegalArgumentException - if array is empty.







xor
public static Boolean xor(Boolean[] array)
Performs an xor on an array of Booleans.
 
    BooleanUtils.xor(new Boolean[] { Boolean.TRUE, Boolean.TRUE })   = Boolean.FALSE
   BooleanUtils.xor(new Boolean[] { Boolean.FALSE, Boolean.FALSE }) = Boolean.FALSE
   BooleanUtils.xor(new Boolean[] { Boolean.TRUE, Boolean.FALSE })  = Boolean.TRUE
 

Parameters:
array - an array of Booleans

Returns:
true if the xor is successful.
Throws:
IllegalArgumentException - if array is null
IllegalArgumentException - if array is empty.
IllegalArgumentException - if array contains a null

Class BooleanUtils

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

BooleanUtils

Method Detail

negate

isTrue

isNotTrue

isFalse

isNotFalse

toBooleanObject

toBoolean

toBooleanDefaultIfNull

toBoolean

toBooleanObject

toBooleanObject

toBoolean

toBoolean

toBooleanObject

toBooleanObject

toInteger

toIntegerObject

toIntegerObject

toInteger

toInteger

toIntegerObject

toIntegerObject

toBooleanObject

toBooleanObject

toBoolean

toBoolean

toStringTrueFalse

toStringOnOff

toStringYesNo

toString

toStringTrueFalse

toStringOnOff

toStringYesNo

toString

xor

xor