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Some more documentation polishing in Math/BigInteger.php.
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@ -11,7 +11,7 @@
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* {@internal (all DocBlock comments regarding implementation - such as the one that follows - refer to the
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* {@internal (all DocBlock comments regarding implementation - such as the one that follows - refer to the
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* {@link MATH_BIGINTEGER_MODE_INTERNAL MATH_BIGINTEGER_MODE_INTERNAL} mode)
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* {@link MATH_BIGINTEGER_MODE_INTERNAL MATH_BIGINTEGER_MODE_INTERNAL} mode)
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*
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*
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* Math_BigInteger uses base-2**26 to perform operations such as multiplication and division and
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* BigInteger uses base-2**26 to perform operations such as multiplication and division and
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* base-2**52 (ie. two base 2**26 digits) to perform addition and subtraction. Because the largest possible
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* base-2**52 (ie. two base 2**26 digits) to perform addition and subtraction. Because the largest possible
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* value when multiplying two base-2**26 numbers together is a base-2**52 number, double precision floating
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* value when multiplying two base-2**26 numbers together is a base-2**52 number, double precision floating
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* point numbers - numbers that should be supported on most hardware and whose significand is 53 bits - are
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* point numbers - numbers that should be supported on most hardware and whose significand is 53 bits - are
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@ -72,27 +72,27 @@ namespace phpseclib\Math;
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* Reduction constants
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* Reduction constants
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*
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*
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* @access private
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* @access private
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* @see Math_BigInteger::_reduce()
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* @see BigInteger::_reduce()
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*/
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*/
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/**
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/**
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* @see Math_BigInteger::_montgomery()
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* @see BigInteger::_montgomery()
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* @see Math_BigInteger::_prepMontgomery()
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* @see BigInteger::_prepMontgomery()
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*/
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*/
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define('MATH_BIGINTEGER_MONTGOMERY', 0);
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define('MATH_BIGINTEGER_MONTGOMERY', 0);
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/**
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/**
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* @see Math_BigInteger::_barrett()
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* @see BigInteger::_barrett()
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*/
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*/
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define('MATH_BIGINTEGER_BARRETT', 1);
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define('MATH_BIGINTEGER_BARRETT', 1);
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/**
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/**
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* @see Math_BigInteger::_mod2()
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* @see BigInteger::_mod2()
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*/
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*/
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define('MATH_BIGINTEGER_POWEROF2', 2);
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define('MATH_BIGINTEGER_POWEROF2', 2);
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/**
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/**
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* @see Math_BigInteger::_remainder()
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* @see BigInteger::_remainder()
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*/
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*/
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define('MATH_BIGINTEGER_CLASSIC', 3);
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define('MATH_BIGINTEGER_CLASSIC', 3);
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/**
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/**
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* @see Math_BigInteger::__clone()
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* @see BigInteger::__clone()
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*/
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*/
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define('MATH_BIGINTEGER_NONE', 4);
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define('MATH_BIGINTEGER_NONE', 4);
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/**#@-*/
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/**#@-*/
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@ -117,8 +117,8 @@ define('MATH_BIGINTEGER_SIGN', 1);
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/**#@+
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/**#@+
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* @access private
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* @access private
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* @see Math_BigInteger::_montgomery()
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* @see BigInteger::_montgomery()
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* @see Math_BigInteger::_barrett()
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* @see BigInteger::_barrett()
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*/
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*/
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/**
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/**
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* Cache constants
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* Cache constants
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@ -136,7 +136,7 @@ define('MATH_BIGINTEGER_DATA', 1);
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* Mode constants.
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* Mode constants.
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*
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*
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* @access private
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* @access private
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* @see Math_BigInteger::Math_BigInteger()
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* @see BigInteger::__construct()
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*/
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*/
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/**
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/**
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* To use the pure-PHP implementation
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* To use the pure-PHP implementation
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@ -245,7 +245,7 @@ class BigInteger
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*
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*
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* @param optional $x base-10 number or base-$base number if $base set.
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* @param optional $x base-10 number or base-$base number if $base set.
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* @param optional integer $base
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* @param optional integer $base
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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*/
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*/
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function __construct($x = 0, $base = 10)
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function __construct($x = 0, $base = 10)
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@ -718,7 +718,7 @@ class BigInteger
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*
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*
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* @access public
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* @access public
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* @see __clone()
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* @see __clone()
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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*/
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*/
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function copy()
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function copy()
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{
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{
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@ -748,14 +748,14 @@ class BigInteger
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/**
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/**
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* __clone() magic method
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* __clone() magic method
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*
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*
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* Although you can call Math_BigInteger::__toString() directly in PHP5, you cannot call Math_BigInteger::__clone()
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* Although you can call BigInteger::__toString() directly in PHP5, you cannot call BigInteger::__clone() directly
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* directly in PHP5. You can in PHP4 since it's not a magic method, but in PHP5, you have to call it by using the PHP5
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* in PHP5. You can in PHP4 since it's not a magic method, but in PHP5, you have to call it by using the PHP5
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* only syntax of $y = clone $x. As such, if you're trying to write an application that works on both PHP4 and PHP5,
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* only syntax of $y = clone $x. As such, if you're trying to write an application that works on both PHP4 and
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* call Math_BigInteger::copy(), instead.
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* PHP5, call BigInteger::copy(), instead.
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*
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*
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* @access public
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* @access public
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* @see copy()
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* @see copy()
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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*/
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*/
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function __clone()
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function __clone()
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{
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{
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@ -765,7 +765,7 @@ class BigInteger
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/**
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/**
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* __sleep() magic method
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* __sleep() magic method
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*
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*
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* Will be called, automatically, when serialize() is called on a Math_BigInteger object.
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* Will be called, automatically, when serialize() is called on a BigInteger object.
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*
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*
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* @see __wakeup()
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* @see __wakeup()
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* @access public
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* @access public
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@ -787,7 +787,7 @@ class BigInteger
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/**
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/**
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* __wakeup() magic method
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* __wakeup() magic method
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*
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*
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* Will be called, automatically, when unserialize() is called on a Math_BigInteger object.
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* Will be called, automatically, when unserialize() is called on a BigInteger object.
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*
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*
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* @see __sleep()
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* @see __sleep()
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* @access public
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* @access public
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@ -818,8 +818,8 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $y
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* @param \phpseclib\Math\BigInteger $y
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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* @internal Performs base-2**52 addition
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* @internal Performs base-2**52 addition
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*/
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*/
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@ -947,8 +947,8 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $y
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* @param \phpseclib\Math\BigInteger $y
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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* @internal Performs base-2**52 subtraction
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* @internal Performs base-2**52 subtraction
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*/
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*/
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@ -1081,8 +1081,8 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $x
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* @param \phpseclib\Math\BigInteger $x
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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*/
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*/
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function multiply($x)
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function multiply($x)
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@ -1365,7 +1365,7 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $y
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* @param \phpseclib\Math\BigInteger $y
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* @return Array
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* @return Array
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* @access public
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* @access public
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* @internal This function is based off of {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=9 HAC 14.20}.
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* @internal This function is based off of {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=9 HAC 14.20}.
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@ -1581,9 +1581,9 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $e
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* @param \phpseclib\Math\BigInteger $e
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* @param Math_BigInteger $n
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* @param \phpseclib\Math\BigInteger $n
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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* @internal The most naive approach to modular exponentiation has very unreasonable requirements, and
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* @internal The most naive approach to modular exponentiation has very unreasonable requirements, and
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* and although the approach involving repeated squaring does vastly better, it, too, is impractical
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* and although the approach involving repeated squaring does vastly better, it, too, is impractical
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@ -1743,11 +1743,11 @@ class BigInteger
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/**
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/**
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* Performs modular exponentiation.
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* Performs modular exponentiation.
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*
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*
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* Alias for Math_BigInteger::modPow()
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* Alias for modPow().
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*
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*
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* @param Math_BigInteger $e
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* @param \phpseclib\Math\BigInteger $e
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* @param Math_BigInteger $n
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* @param \phpseclib\Math\BigInteger $n
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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*/
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*/
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function powMod($e, $n)
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function powMod($e, $n)
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@ -1763,10 +1763,10 @@ class BigInteger
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* however, this function performs a modular reduction after every multiplication and squaring operation.
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* however, this function performs a modular reduction after every multiplication and squaring operation.
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* As such, this function has the same preconditions that the reductions being used do.
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* As such, this function has the same preconditions that the reductions being used do.
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*
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*
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* @param Math_BigInteger $e
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* @param \phpseclib\Math\BigInteger $e
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* @param Math_BigInteger $n
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* @param \phpseclib\Math\BigInteger $n
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* @param Integer $mode
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* @param Integer $mode
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access private
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* @access private
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*/
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*/
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function _slidingWindow($e, $n, $mode)
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function _slidingWindow($e, $n, $mode)
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@ -1935,8 +1935,8 @@ class BigInteger
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*
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*
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* @see _slidingWindow()
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* @see _slidingWindow()
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* @access private
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* @access private
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* @param Math_BigInteger
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* @param \phpseclib\Math\BigInteger
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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*/
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*/
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function _mod2($n)
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function _mod2($n)
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{
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{
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@ -2057,7 +2057,7 @@ class BigInteger
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/**
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/**
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* (Regular) Barrett Modular Reduction
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* (Regular) Barrett Modular Reduction
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*
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*
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* For numbers with more than four digits Math_BigInteger::_barrett() is faster. The difference between that and this
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* For numbers with more than four digits BigInteger::_barrett() is faster. The difference between that and this
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* is that this function does not fold the denominator into a smaller form.
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* is that this function does not fold the denominator into a smaller form.
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*
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*
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* @see _slidingWindow()
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* @see _slidingWindow()
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@ -2388,8 +2388,8 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $n
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* @param \phpseclib\Math\BigInteger $n
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* @return mixed false, if no modular inverse exists, Math_BigInteger, otherwise.
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* @return mixed false, if no modular inverse exists, \phpseclib\Math\BigInteger, otherwise.
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* @access public
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* @access public
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* @internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=21 HAC 14.64} for more information.
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* @internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=21 HAC 14.64} for more information.
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*/
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*/
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@ -2450,8 +2450,8 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $n
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* @param \phpseclib\Math\BigInteger $n
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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* @internal Calculates the GCD using the binary xGCD algorithim described in
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* @internal Calculates the GCD using the binary xGCD algorithim described in
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* {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=19 HAC 14.61}. As the text above 14.61 notes,
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* {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=19 HAC 14.61}. As the text above 14.61 notes,
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@ -2582,8 +2582,8 @@ class BigInteger
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* ?>
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* ?>
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* </code>
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* </code>
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*
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*
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* @param Math_BigInteger $n
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* @param \phpseclib\Math\BigInteger $n
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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*/
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*/
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function gcd($n)
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function gcd($n)
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@ -2595,7 +2595,7 @@ class BigInteger
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/**
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/**
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* Absolute value.
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* Absolute value.
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*
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*
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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* @access public
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* @access public
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*/
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*/
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function abs()
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function abs()
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@ -2628,7 +2628,7 @@ class BigInteger
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*
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*
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* Note how the same comparison operator is used. If you want to test for equality, use $x->equals($y).
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* Note how the same comparison operator is used. If you want to test for equality, use $x->equals($y).
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*
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*
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* @param Math_BigInteger $y
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* @param \phpseclib\Math\BigInteger $y
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* @return Integer < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
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* @return Integer < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
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* @access public
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* @access public
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* @see equals()
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* @see equals()
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@ -2685,9 +2685,9 @@ class BigInteger
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/**
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/**
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* Tests the equality of two numbers.
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* Tests the equality of two numbers.
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*
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*
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* If you need to see if one number is greater than or less than another number, use Math_BigInteger::compare()
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* If you need to see if one number is greater than or less than another number, use BigInteger::compare()
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*
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*
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* @param Math_BigInteger $x
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* @param \phpseclib\Math\BigInteger $x
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* @return Boolean
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* @return Boolean
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* @access public
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* @access public
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* @see compare()
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* @see compare()
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@ -2727,10 +2727,10 @@ class BigInteger
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/**
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/**
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* Logical And
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* Logical And
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*
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*
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* @param Math_BigInteger $x
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* @param \phpseclib\Math\BigInteger $x
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* @access public
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* @access public
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* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
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* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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*/
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*/
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function bitwise_and($x)
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function bitwise_and($x)
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{
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{
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@ -2768,10 +2768,10 @@ class BigInteger
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/**
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/**
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* Logical Or
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* Logical Or
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*
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*
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* @param Math_BigInteger $x
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* @param \phpseclib\Math\BigInteger $x
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* @access public
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* @access public
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* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
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* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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*/
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*/
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function bitwise_or($x)
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function bitwise_or($x)
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{
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{
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@ -2808,10 +2808,10 @@ class BigInteger
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/**
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/**
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* Logical Exclusive-Or
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* Logical Exclusive-Or
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*
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*
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* @param Math_BigInteger $x
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* @param \phpseclib\Math\BigInteger $x
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* @access public
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* @access public
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* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
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* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
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* @return Math_BigInteger
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* @return \phpseclib\Math\BigInteger
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*/
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*/
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function bitwise_xor($x)
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function bitwise_xor($x)
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{
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{
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@ -2850,7 +2850,7 @@ class BigInteger
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*
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*
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||||||
* @access public
|
* @access public
|
||||||
* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
|
* @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
*/
|
*/
|
||||||
function bitwise_not()
|
function bitwise_not()
|
||||||
{
|
{
|
||||||
@ -2887,7 +2887,7 @@ class BigInteger
|
|||||||
* Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.
|
* Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.
|
||||||
*
|
*
|
||||||
* @param Integer $shift
|
* @param Integer $shift
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access public
|
* @access public
|
||||||
* @internal The only version that yields any speed increases is the internal version.
|
* @internal The only version that yields any speed increases is the internal version.
|
||||||
*/
|
*/
|
||||||
@ -2925,7 +2925,7 @@ class BigInteger
|
|||||||
* Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.
|
* Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.
|
||||||
*
|
*
|
||||||
* @param Integer $shift
|
* @param Integer $shift
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access public
|
* @access public
|
||||||
* @internal The only version that yields any speed increases is the internal version.
|
* @internal The only version that yields any speed increases is the internal version.
|
||||||
*/
|
*/
|
||||||
@ -2963,7 +2963,7 @@ class BigInteger
|
|||||||
* Instead of the top x bits being dropped they're appended to the shifted bit string.
|
* Instead of the top x bits being dropped they're appended to the shifted bit string.
|
||||||
*
|
*
|
||||||
* @param Integer $shift
|
* @param Integer $shift
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access public
|
* @access public
|
||||||
*/
|
*/
|
||||||
function bitwise_leftRotate($shift)
|
function bitwise_leftRotate($shift)
|
||||||
@ -3007,7 +3007,7 @@ class BigInteger
|
|||||||
* Instead of the bottom x bits being dropped they're prepended to the shifted bit string.
|
* Instead of the bottom x bits being dropped they're prepended to the shifted bit string.
|
||||||
*
|
*
|
||||||
* @param Integer $shift
|
* @param Integer $shift
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access public
|
* @access public
|
||||||
*/
|
*/
|
||||||
function bitwise_rightRotate($shift)
|
function bitwise_rightRotate($shift)
|
||||||
@ -3021,7 +3021,7 @@ class BigInteger
|
|||||||
* Byte length is equal to $length. Uses crypt_random if it's loaded and mt_rand if it's not.
|
* Byte length is equal to $length. Uses crypt_random if it's loaded and mt_rand if it's not.
|
||||||
*
|
*
|
||||||
* @param Integer $length
|
* @param Integer $length
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access private
|
* @access private
|
||||||
*/
|
*/
|
||||||
function _random_number_helper($size)
|
function _random_number_helper($size)
|
||||||
@ -3050,7 +3050,7 @@ class BigInteger
|
|||||||
*
|
*
|
||||||
* @param optional Integer $min
|
* @param optional Integer $min
|
||||||
* @param optional Integer $max
|
* @param optional Integer $max
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access public
|
* @access public
|
||||||
*/
|
*/
|
||||||
function random($min = false, $max = false)
|
function random($min = false, $max = false)
|
||||||
@ -3126,7 +3126,7 @@ class BigInteger
|
|||||||
* @param optional Integer $min
|
* @param optional Integer $min
|
||||||
* @param optional Integer $max
|
* @param optional Integer $max
|
||||||
* @param optional Integer $timeout
|
* @param optional Integer $timeout
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access public
|
* @access public
|
||||||
* @internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap4.pdf#page=15 HAC 4.44}.
|
* @internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap4.pdf#page=15 HAC 4.44}.
|
||||||
*/
|
*/
|
||||||
@ -3246,7 +3246,7 @@ class BigInteger
|
|||||||
* Checks a numer to see if it's prime
|
* Checks a numer to see if it's prime
|
||||||
*
|
*
|
||||||
* Assuming the $t parameter is not set, this function has an error rate of 2**-80. The main motivation for the
|
* Assuming the $t parameter is not set, this function has an error rate of 2**-80. The main motivation for the
|
||||||
* $t parameter is distributability. Math_BigInteger::randomPrime() can be distributed across multiple pageloads
|
* $t parameter is distributability. BigInteger::randomPrime() can be distributed across multiple pageloads
|
||||||
* on a website instead of just one.
|
* on a website instead of just one.
|
||||||
*
|
*
|
||||||
* @param optional Integer $t
|
* @param optional Integer $t
|
||||||
@ -3470,8 +3470,8 @@ class BigInteger
|
|||||||
*
|
*
|
||||||
* Removes leading zeros and truncates (if necessary) to maintain the appropriate precision
|
* Removes leading zeros and truncates (if necessary) to maintain the appropriate precision
|
||||||
*
|
*
|
||||||
* @param Math_BigInteger
|
* @param \phpseclib\Math\BigInteger
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @see _trim()
|
* @see _trim()
|
||||||
* @access private
|
* @access private
|
||||||
*/
|
*/
|
||||||
@ -3521,7 +3521,7 @@ class BigInteger
|
|||||||
* Removes leading zeros
|
* Removes leading zeros
|
||||||
*
|
*
|
||||||
* @param Array $value
|
* @param Array $value
|
||||||
* @return Math_BigInteger
|
* @return \phpseclib\Math\BigInteger
|
||||||
* @access private
|
* @access private
|
||||||
*/
|
*/
|
||||||
function _trim($value)
|
function _trim($value)
|
||||||
|
Loading…
Reference in New Issue
Block a user