lepu-test-platform-web/node_modules/cuint/build/uint64.js

649 lines
15 KiB
JavaScript
Raw Normal View History

/**
C-like unsigned 64 bits integers in Javascript
Copyright (C) 2013, Pierre Curto
MIT license
*/
;(function (root) {
// Local cache for typical radices
var radixPowerCache = {
16: UINT64( Math.pow(16, 5) )
, 10: UINT64( Math.pow(10, 5) )
, 2: UINT64( Math.pow(2, 5) )
}
var radixCache = {
16: UINT64(16)
, 10: UINT64(10)
, 2: UINT64(2)
}
/**
* Represents an unsigned 64 bits integer
* @constructor
* @param {Number} first low bits (8)
* @param {Number} second low bits (8)
* @param {Number} first high bits (8)
* @param {Number} second high bits (8)
* or
* @param {Number} low bits (32)
* @param {Number} high bits (32)
* or
* @param {String|Number} integer as a string | integer as a number
* @param {Number|Undefined} radix (optional, default=10)
* @return
*/
function UINT64 (a00, a16, a32, a48) {
if ( !(this instanceof UINT64) )
return new UINT64(a00, a16, a32, a48)
this.remainder = null
if (typeof a00 == 'string')
return fromString.call(this, a00, a16)
if (typeof a16 == 'undefined')
return fromNumber.call(this, a00)
fromBits.apply(this, arguments)
}
/**
* Set the current _UINT64_ object with its low and high bits
* @method fromBits
* @param {Number} first low bits (8)
* @param {Number} second low bits (8)
* @param {Number} first high bits (8)
* @param {Number} second high bits (8)
* or
* @param {Number} low bits (32)
* @param {Number} high bits (32)
* @return ThisExpression
*/
function fromBits (a00, a16, a32, a48) {
if (typeof a32 == 'undefined') {
this._a00 = a00 & 0xFFFF
this._a16 = a00 >>> 16
this._a32 = a16 & 0xFFFF
this._a48 = a16 >>> 16
return this
}
this._a00 = a00 | 0
this._a16 = a16 | 0
this._a32 = a32 | 0
this._a48 = a48 | 0
return this
}
UINT64.prototype.fromBits = fromBits
/**
* Set the current _UINT64_ object from a number
* @method fromNumber
* @param {Number} number
* @return ThisExpression
*/
function fromNumber (value) {
this._a00 = value & 0xFFFF
this._a16 = value >>> 16
this._a32 = 0
this._a48 = 0
return this
}
UINT64.prototype.fromNumber = fromNumber
/**
* Set the current _UINT64_ object from a string
* @method fromString
* @param {String} integer as a string
* @param {Number} radix (optional, default=10)
* @return ThisExpression
*/
function fromString (s, radix) {
radix = radix || 10
this._a00 = 0
this._a16 = 0
this._a32 = 0
this._a48 = 0
/*
In Javascript, bitwise operators only operate on the first 32 bits
of a number, even though parseInt() encodes numbers with a 53 bits
mantissa.
Therefore UINT64(<Number>) can only work on 32 bits.
The radix maximum value is 36 (as per ECMA specs) (26 letters + 10 digits)
maximum input value is m = 32bits as 1 = 2^32 - 1
So the maximum substring length n is:
36^(n+1) - 1 = 2^32 - 1
36^(n+1) = 2^32
(n+1)ln(36) = 32ln(2)
n = 32ln(2)/ln(36) - 1
n = 5.189644915687692
n = 5
*/
var radixUint = radixPowerCache[radix] || new UINT64( Math.pow(radix, 5) )
for (var i = 0, len = s.length; i < len; i += 5) {
var size = Math.min(5, len - i)
var value = parseInt( s.slice(i, i + size), radix )
this.multiply(
size < 5
? new UINT64( Math.pow(radix, size) )
: radixUint
)
.add( new UINT64(value) )
}
return this
}
UINT64.prototype.fromString = fromString
/**
* Convert this _UINT64_ to a number (last 32 bits are dropped)
* @method toNumber
* @return {Number} the converted UINT64
*/
UINT64.prototype.toNumber = function () {
return (this._a16 * 65536) + this._a00
}
/**
* Convert this _UINT64_ to a string
* @method toString
* @param {Number} radix (optional, default=10)
* @return {String} the converted UINT64
*/
UINT64.prototype.toString = function (radix) {
radix = radix || 10
var radixUint = radixCache[radix] || new UINT64(radix)
if ( !this.gt(radixUint) ) return this.toNumber().toString(radix)
var self = this.clone()
var res = new Array(64)
for (var i = 63; i >= 0; i--) {
self.div(radixUint)
res[i] = self.remainder.toNumber().toString(radix)
if ( !self.gt(radixUint) ) break
}
res[i-1] = self.toNumber().toString(radix)
return res.join('')
}
/**
* Add two _UINT64_. The current _UINT64_ stores the result
* @method add
* @param {Object} other UINT64
* @return ThisExpression
*/
UINT64.prototype.add = function (other) {
var a00 = this._a00 + other._a00
var a16 = a00 >>> 16
a16 += this._a16 + other._a16
var a32 = a16 >>> 16
a32 += this._a32 + other._a32
var a48 = a32 >>> 16
a48 += this._a48 + other._a48
this._a00 = a00 & 0xFFFF
this._a16 = a16 & 0xFFFF
this._a32 = a32 & 0xFFFF
this._a48 = a48 & 0xFFFF
return this
}
/**
* Subtract two _UINT64_. The current _UINT64_ stores the result
* @method subtract
* @param {Object} other UINT64
* @return ThisExpression
*/
UINT64.prototype.subtract = function (other) {
return this.add( other.clone().negate() )
}
/**
* Multiply two _UINT64_. The current _UINT64_ stores the result
* @method multiply
* @param {Object} other UINT64
* @return ThisExpression
*/
UINT64.prototype.multiply = function (other) {
/*
a = a00 + a16 + a32 + a48
b = b00 + b16 + b32 + b48
a*b = (a00 + a16 + a32 + a48)(b00 + b16 + b32 + b48)
= a00b00 + a00b16 + a00b32 + a00b48
+ a16b00 + a16b16 + a16b32 + a16b48
+ a32b00 + a32b16 + a32b32 + a32b48
+ a48b00 + a48b16 + a48b32 + a48b48
a16b48, a32b32, a48b16, a48b32 and a48b48 overflow the 64 bits
so it comes down to:
a*b = a00b00 + a00b16 + a00b32 + a00b48
+ a16b00 + a16b16 + a16b32
+ a32b00 + a32b16
+ a48b00
= a00b00
+ a00b16 + a16b00
+ a00b32 + a16b16 + a32b00
+ a00b48 + a16b32 + a32b16 + a48b00
*/
var a00 = this._a00
var a16 = this._a16
var a32 = this._a32
var a48 = this._a48
var b00 = other._a00
var b16 = other._a16
var b32 = other._a32
var b48 = other._a48
var c00 = a00 * b00
var c16 = c00 >>> 16
c16 += a00 * b16
var c32 = c16 >>> 16
c16 &= 0xFFFF
c16 += a16 * b00
c32 += c16 >>> 16
c32 += a00 * b32
var c48 = c32 >>> 16
c32 &= 0xFFFF
c32 += a16 * b16
c48 += c32 >>> 16
c32 &= 0xFFFF
c32 += a32 * b00
c48 += c32 >>> 16
c48 += a00 * b48
c48 &= 0xFFFF
c48 += a16 * b32
c48 &= 0xFFFF
c48 += a32 * b16
c48 &= 0xFFFF
c48 += a48 * b00
this._a00 = c00 & 0xFFFF
this._a16 = c16 & 0xFFFF
this._a32 = c32 & 0xFFFF
this._a48 = c48 & 0xFFFF
return this
}
/**
* Divide two _UINT64_. The current _UINT64_ stores the result.
* The remainder is made available as the _remainder_ property on
* the _UINT64_ object. It can be null, meaning there are no remainder.
* @method div
* @param {Object} other UINT64
* @return ThisExpression
*/
UINT64.prototype.div = function (other) {
if ( (other._a16 == 0) && (other._a32 == 0) && (other._a48 == 0) ) {
if (other._a00 == 0) throw Error('division by zero')
// other == 1: this
if (other._a00 == 1) {
this.remainder = new UINT64(0)
return this
}
}
// other > this: 0
if ( other.gt(this) ) {
this.remainder = this.clone()
this._a00 = 0
this._a16 = 0
this._a32 = 0
this._a48 = 0
return this
}
// other == this: 1
if ( this.eq(other) ) {
this.remainder = new UINT64(0)
this._a00 = 1
this._a16 = 0
this._a32 = 0
this._a48 = 0
return this
}
// Shift the divisor left until it is higher than the dividend
var _other = other.clone()
var i = -1
while ( !this.lt(_other) ) {
// High bit can overflow the default 16bits
// Its ok since we right shift after this loop
// The overflown bit must be kept though
_other.shiftLeft(1, true)
i++
}
// Set the remainder
this.remainder = this.clone()
// Initialize the current result to 0
this._a00 = 0
this._a16 = 0
this._a32 = 0
this._a48 = 0
for (; i >= 0; i--) {
_other.shiftRight(1)
// If shifted divisor is smaller than the dividend
// then subtract it from the dividend
if ( !this.remainder.lt(_other) ) {
this.remainder.subtract(_other)
// Update the current result
if (i >= 48) {
this._a48 |= 1 << (i - 48)
} else if (i >= 32) {
this._a32 |= 1 << (i - 32)
} else if (i >= 16) {
this._a16 |= 1 << (i - 16)
} else {
this._a00 |= 1 << i
}
}
}
return this
}
/**
* Negate the current _UINT64_
* @method negate
* @return ThisExpression
*/
UINT64.prototype.negate = function () {
var v = ( ~this._a00 & 0xFFFF ) + 1
this._a00 = v & 0xFFFF
v = (~this._a16 & 0xFFFF) + (v >>> 16)
this._a16 = v & 0xFFFF
v = (~this._a32 & 0xFFFF) + (v >>> 16)
this._a32 = v & 0xFFFF
this._a48 = (~this._a48 + (v >>> 16)) & 0xFFFF
return this
}
/**
* @method eq
* @param {Object} other UINT64
* @return {Boolean}
*/
UINT64.prototype.equals = UINT64.prototype.eq = function (other) {
return (this._a48 == other._a48) && (this._a00 == other._a00)
&& (this._a32 == other._a32) && (this._a16 == other._a16)
}
/**
* Greater than (strict)
* @method gt
* @param {Object} other UINT64
* @return {Boolean}
*/
UINT64.prototype.greaterThan = UINT64.prototype.gt = function (other) {
if (this._a48 > other._a48) return true
if (this._a48 < other._a48) return false
if (this._a32 > other._a32) return true
if (this._a32 < other._a32) return false
if (this._a16 > other._a16) return true
if (this._a16 < other._a16) return false
return this._a00 > other._a00
}
/**
* Less than (strict)
* @method lt
* @param {Object} other UINT64
* @return {Boolean}
*/
UINT64.prototype.lessThan = UINT64.prototype.lt = function (other) {
if (this._a48 < other._a48) return true
if (this._a48 > other._a48) return false
if (this._a32 < other._a32) return true
if (this._a32 > other._a32) return false
if (this._a16 < other._a16) return true
if (this._a16 > other._a16) return false
return this._a00 < other._a00
}
/**
* Bitwise OR
* @method or
* @param {Object} other UINT64
* @return ThisExpression
*/
UINT64.prototype.or = function (other) {
this._a00 |= other._a00
this._a16 |= other._a16
this._a32 |= other._a32
this._a48 |= other._a48
return this
}
/**
* Bitwise AND
* @method and
* @param {Object} other UINT64
* @return ThisExpression
*/
UINT64.prototype.and = function (other) {
this._a00 &= other._a00
this._a16 &= other._a16
this._a32 &= other._a32
this._a48 &= other._a48
return this
}
/**
* Bitwise XOR
* @method xor
* @param {Object} other UINT64
* @return ThisExpression
*/
UINT64.prototype.xor = function (other) {
this._a00 ^= other._a00
this._a16 ^= other._a16
this._a32 ^= other._a32
this._a48 ^= other._a48
return this
}
/**
* Bitwise NOT
* @method not
* @return ThisExpression
*/
UINT64.prototype.not = function() {
this._a00 = ~this._a00 & 0xFFFF
this._a16 = ~this._a16 & 0xFFFF
this._a32 = ~this._a32 & 0xFFFF
this._a48 = ~this._a48 & 0xFFFF
return this
}
/**
* Bitwise shift right
* @method shiftRight
* @param {Number} number of bits to shift
* @return ThisExpression
*/
UINT64.prototype.shiftRight = UINT64.prototype.shiftr = function (n) {
n %= 64
if (n >= 48) {
this._a00 = this._a48 >> (n - 48)
this._a16 = 0
this._a32 = 0
this._a48 = 0
} else if (n >= 32) {
n -= 32
this._a00 = ( (this._a32 >> n) | (this._a48 << (16-n)) ) & 0xFFFF
this._a16 = (this._a48 >> n) & 0xFFFF
this._a32 = 0
this._a48 = 0
} else if (n >= 16) {
n -= 16
this._a00 = ( (this._a16 >> n) | (this._a32 << (16-n)) ) & 0xFFFF
this._a16 = ( (this._a32 >> n) | (this._a48 << (16-n)) ) & 0xFFFF
this._a32 = (this._a48 >> n) & 0xFFFF
this._a48 = 0
} else {
this._a00 = ( (this._a00 >> n) | (this._a16 << (16-n)) ) & 0xFFFF
this._a16 = ( (this._a16 >> n) | (this._a32 << (16-n)) ) & 0xFFFF
this._a32 = ( (this._a32 >> n) | (this._a48 << (16-n)) ) & 0xFFFF
this._a48 = (this._a48 >> n) & 0xFFFF
}
return this
}
/**
* Bitwise shift left
* @method shiftLeft
* @param {Number} number of bits to shift
* @param {Boolean} allow overflow
* @return ThisExpression
*/
UINT64.prototype.shiftLeft = UINT64.prototype.shiftl = function (n, allowOverflow) {
n %= 64
if (n >= 48) {
this._a48 = this._a00 << (n - 48)
this._a32 = 0
this._a16 = 0
this._a00 = 0
} else if (n >= 32) {
n -= 32
this._a48 = (this._a16 << n) | (this._a00 >> (16-n))
this._a32 = (this._a00 << n) & 0xFFFF
this._a16 = 0
this._a00 = 0
} else if (n >= 16) {
n -= 16
this._a48 = (this._a32 << n) | (this._a16 >> (16-n))
this._a32 = ( (this._a16 << n) | (this._a00 >> (16-n)) ) & 0xFFFF
this._a16 = (this._a00 << n) & 0xFFFF
this._a00 = 0
} else {
this._a48 = (this._a48 << n) | (this._a32 >> (16-n))
this._a32 = ( (this._a32 << n) | (this._a16 >> (16-n)) ) & 0xFFFF
this._a16 = ( (this._a16 << n) | (this._a00 >> (16-n)) ) & 0xFFFF
this._a00 = (this._a00 << n) & 0xFFFF
}
if (!allowOverflow) {
this._a48 &= 0xFFFF
}
return this
}
/**
* Bitwise rotate left
* @method rotl
* @param {Number} number of bits to rotate
* @return ThisExpression
*/
UINT64.prototype.rotateLeft = UINT64.prototype.rotl = function (n) {
n %= 64
if (n == 0) return this
if (n >= 32) {
// A.B.C.D
// B.C.D.A rotl(16)
// C.D.A.B rotl(32)
var v = this._a00
this._a00 = this._a32
this._a32 = v
v = this._a48
this._a48 = this._a16
this._a16 = v
if (n == 32) return this
n -= 32
}
var high = (this._a48 << 16) | this._a32
var low = (this._a16 << 16) | this._a00
var _high = (high << n) | (low >>> (32 - n))
var _low = (low << n) | (high >>> (32 - n))
this._a00 = _low & 0xFFFF
this._a16 = _low >>> 16
this._a32 = _high & 0xFFFF
this._a48 = _high >>> 16
return this
}
/**
* Bitwise rotate right
* @method rotr
* @param {Number} number of bits to rotate
* @return ThisExpression
*/
UINT64.prototype.rotateRight = UINT64.prototype.rotr = function (n) {
n %= 64
if (n == 0) return this
if (n >= 32) {
// A.B.C.D
// D.A.B.C rotr(16)
// C.D.A.B rotr(32)
var v = this._a00
this._a00 = this._a32
this._a32 = v
v = this._a48
this._a48 = this._a16
this._a16 = v
if (n == 32) return this
n -= 32
}
var high = (this._a48 << 16) | this._a32
var low = (this._a16 << 16) | this._a00
var _high = (high >>> n) | (low << (32 - n))
var _low = (low >>> n) | (high << (32 - n))
this._a00 = _low & 0xFFFF
this._a16 = _low >>> 16
this._a32 = _high & 0xFFFF
this._a48 = _high >>> 16
return this
}
/**
* Clone the current _UINT64_
* @method clone
* @return {Object} cloned UINT64
*/
UINT64.prototype.clone = function () {
return new UINT64(this._a00, this._a16, this._a32, this._a48)
}
if (typeof define != 'undefined' && define.amd) {
// AMD / RequireJS
define([], function () {
return UINT64
})
} else if (typeof module != 'undefined' && module.exports) {
// Node.js
module.exports = UINT64
} else {
// Browser
root['UINT64'] = UINT64
}
})(this)