Curves over a*x^2 + y^2 = 1 + d*x^2*y^2
| package | Default |
|---|
__construct()
addPoint(array $p,array $q): array<mixed,\phpseclib3\Crypt\EC\Curves\FiniteField>
array
array
array<mixed,\phpseclib3\Crypt\EC\Curves\FiniteField> convertInteger(\phpseclib3\Math\BigInteger $x): object
convertToAffine(array $p): array<mixed,object>
array
array<mixed,object> convertToInternal(array $p): array<mixed,object>
array
array<mixed,object> createRandomMultiplier(): \phpseclib3\Math\BigInteger
doublePoint(array $p): array<mixed,\phpseclib3\Crypt\EC\Curves\FiniteField>
array
array<mixed,\phpseclib3\Crypt\EC\Curves\FiniteField> encodePoint(array $point): string
array
string extractSecret(string $str): array
Implements steps 1-3 at https://tools.ietf.org/html/rfc8032#section-5.1.5
Used by the various key handlers
string
array getA(): \phpseclib3\Math\PrimeField\Integer
getBasePoint(): array
array getD(): \phpseclib3\Math\PrimeField\Integer
getLength(): integer
integer getLengthInBytes(): integer
integer getModulo(): \phpseclib3\Math\BigInteger
getOrder(): \phpseclib3\Math\BigInteger
multiplyAddPoints(array $points,array $scalars): array<mixed,integer>
array
array
array<mixed,integer> multiplyPoint(array $p,\phpseclib3\Math\BigInteger $d): array
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
array
array negatePoint(array $p): array<mixed,object>
array
array<mixed,object> randomInteger(): object
object rangeCheck(\phpseclib3\Math\BigInteger $x)
recoverX(\phpseclib3\Math\BigInteger $y,boolean $sign): array<mixed,object>
Implements steps 2-4 at https://tools.ietf.org/html/rfc8032#section-5.1.3
Used by EC\Keys\Common.php
boolean
array<mixed,object> setBasePoint( $x, $y)
setCoefficients(\phpseclib3\Math\BigInteger $a,\phpseclib3\Math\BigInteger $d)
setModulo(\phpseclib3\Math\BigInteger $modulo)
setOrder(\phpseclib3\Math\BigInteger $order)
setReduction(callable $func): object
callable
object verifyPoint(array $p): boolean
array
boolean HASH
SIZE
a :object
| var |
|---|
object d :object
| var |
|---|
object p :array<mixed,object>
| var |
|---|
array<mixed,object> zero :object
| var |
|---|
object one :object
| var |
|---|
object two :object
| var |
|---|
object factory :\phpseclib3\Math\FiniteField\Integer
| var |
|---|
\phpseclib3\Math\FiniteField\Integer