Base
in package
AbstractYes
Base
Tags
Table of Contents
Properties
- $doubles : array<string|int, object>
- Doubles
- $factory : Integer
- Finite Field Integer factory
- $order : BigInteger
- The Order
- $naf : array<string|int, int>
- NAF Points
Methods
- convertInteger() : object
- Converts a BigInteger to a FiniteField integer
- convertToAffine() : array<string|int, object>
- Returns the affine point
- convertToInternal() : array<string|int, object>
- Converts an affine point to a jacobian coordinate
- createRandomMultiplier() : FiniteField
- Creates a random scalar multiplier
- getLength() : int
- Returns the length, in bits, of the modulo
- getLengthInBytes() : int
- Returns the length, in bytes, of the modulo
- getOrder() : BigInteger
- Returns the Order
- multiplyAddPoints() : array<string|int, int>
- Multiply and Add Points
- multiplyPoint() : array<string|int, mixed>
- Multiply a point on the curve by a scalar
- negatePoint() : array<string|int, object>
- Negates a point
- randomInteger() : object
- Returns a random integer
- setOrder() : mixed
- Sets the Order
- setReduction() : object
- Use a custom defined modular reduction function
Properties
$doubles
Doubles
protected
array<string|int, object>
$doubles
$factory
Finite Field Integer factory
protected
Integer
$factory
$order
The Order
protected
BigInteger
$order
$naf
NAF Points
private
array<string|int, int>
$naf
Methods
convertInteger()
Converts a BigInteger to a FiniteField integer
public
convertInteger(BigInteger $x) : object
Parameters
- $x : BigInteger
Return values
objectconvertToAffine()
Returns the affine point
public
convertToAffine(array<string|int, mixed> $p) : array<string|int, object>
Parameters
- $p : array<string|int, mixed>
Return values
array<string|int, object>convertToInternal()
Converts an affine point to a jacobian coordinate
public
convertToInternal(array<string|int, mixed> $p) : array<string|int, object>
Parameters
- $p : array<string|int, mixed>
Return values
array<string|int, object>createRandomMultiplier()
Creates a random scalar multiplier
public
createRandomMultiplier() : FiniteField
Return values
FiniteFieldgetLength()
Returns the length, in bits, of the modulo
public
getLength() : int
Return values
intgetLengthInBytes()
Returns the length, in bytes, of the modulo
public
getLengthInBytes() : int
Return values
intgetOrder()
Returns the Order
public
getOrder() : BigInteger
Return values
BigIntegermultiplyAddPoints()
Multiply and Add Points
public
multiplyAddPoints(array<string|int, mixed> $points, array<string|int, mixed> $scalars) : array<string|int, int>
Parameters
- $points : array<string|int, mixed>
- $scalars : array<string|int, mixed>
Return values
array<string|int, int>multiplyPoint()
Multiply a point on the curve by a scalar
public
multiplyPoint(array<string|int, mixed> $p, Integer $d) : array<string|int, mixed>
Uses the montgomery ladder technique as described here:
https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication#Montgomery_ladder https://github.com/phpecc/phpecc/issues/16#issuecomment-59176772
Parameters
- $p : array<string|int, mixed>
- $d : Integer
Return values
array<string|int, mixed>negatePoint()
Negates a point
public
negatePoint(array<string|int, mixed> $p) : array<string|int, object>
Parameters
- $p : array<string|int, mixed>
Return values
array<string|int, object>randomInteger()
Returns a random integer
public
randomInteger() : object
Return values
objectsetOrder()
Sets the Order
public
setOrder(BigInteger $order) : mixed
Parameters
- $order : BigInteger
setReduction()
Use a custom defined modular reduction function
public
setReduction(callable $func) : object
Parameters
- $func : callable