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/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/ -> TwistedEdwards.php (summary)

Curves over a*x^2 + y^2 = 1 + d*x^2*y^2 http://www.secg.org/SEC2-Ver-1.0.pdf provides for curves with custom parameters. ie. the coefficients can be arbitrary set through specially formatted keys, etc. As such, Prime.php is built very generically and it's not able to take full advantage of curves with 0 coefficients to produce simplified point doubling, point addition. Twisted Edwards curves, in contrast, do not have a way, currently, to customize them. As such, we can omit the super generic stuff from this class and let the named curves (Ed25519 and Ed448) define their own custom tailored point addition and point doubling methods.

Author: Jim Wigginton
Copyright: 2017 Jim Wigginton
License: http://www.opensource.org/licenses/mit-license.html MIT License
Link: http://pear.php.net/package/Math_BigInteger
File Size: 215 lines (5 kb)
Included or required:0 times
Referenced: 0 times
Includes or requires: 0 files

Defines 1 class

TwistedEdwards:: (9 methods):

Class: TwistedEdwards  - X-Ref

Curves over a*x^2 + y^2 = 1 + d*x^2*y^2

setModulo(BigInteger $modulo)   X-Ref
Sets the modulo

setCoefficients(BigInteger $a, BigInteger $d)   X-Ref
Set coefficients a and b

setBasePoint($x, $y)   X-Ref
Set x and y coordinates for the base point

getA()   X-Ref
Returns the a coefficient

return: \phpseclib3\Math\PrimeField\Integer

getD()   X-Ref
Returns the a coefficient

return: \phpseclib3\Math\PrimeField\Integer

getBasePoint()   X-Ref
Retrieve the base point as an array

return: array

convertToAffine(array $p)   X-Ref
Returns the affine point

return: \phpseclib3\Math\PrimeField\Integer[]

getModulo()   X-Ref
Returns the modulo

return: \phpseclib3\Math\BigInteger

verifyPoint(array $p)   X-Ref
Tests whether or not the x / y values satisfy the equation

return: boolean