| [ Index ] |
PHP Cross Reference of DokuWiki |
[Source view] [Print] [Project Stats]
Curves over y^2 = x^3 + a*x + b These are curves used in SEC 2 over prime fields: http://www.secg.org/SEC2-Ver-1.0.pdf The curve is a weierstrass curve with a[1], a[3] and a[2] set to 0.
| 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: | 785 lines (21 kb) |
| Included or required: | 0 times |
| Referenced: | 0 times |
| Includes or requires: | 0 files |
Prime:: (22 methods):
setModulo()
setCoefficients()
setBasePoint()
getBasePoint()
jacobianAddPointMixedXY()
jacobianAddPointMixedX()
jacobianAddPoint()
addPoint()
doublePointHelper()
jacobianDoublePoint()
jacobianDoublePointMixed()
doublePoint()
derivePoint()
verifyPoint()
getModulo()
getA()
getB()
multiplyAddPoints()
getNAFPoints()
getJSFPoints()
convertToAffine()
convertToInternal()
| setModulo(BigInteger $modulo) X-Ref |
| Sets the modulo |
| setCoefficients(BigInteger $a, BigInteger $b) X-Ref |
| Set coefficients a and b |
| setBasePoint($x, $y) X-Ref |
| Set x and y coordinates for the base point return: PrimeInteger[] param: BigInteger|PrimeInteger $x param: BigInteger|PrimeInteger $y |
| getBasePoint() X-Ref |
| Retrieve the base point as an array return: array |
| jacobianAddPointMixedXY(array $p, array $q) X-Ref |
| Adds two "fresh" jacobian form on the curve return: FiniteField[] |
| jacobianAddPointMixedX(array $p, array $q) X-Ref |
| Adds one "fresh" jacobian form on the curve The second parameter should be the "fresh" one return: FiniteField[] |
| jacobianAddPoint(array $p, array $q) X-Ref |
| Adds two jacobian coordinates on the curve return: FiniteField[] |
| addPoint(array $p, array $q) X-Ref |
| Adds two points on the curve return: FiniteField[] |
| doublePointHelper(array $p) X-Ref |
| Returns the numerator and denominator of the slope return: FiniteField[] |
| jacobianDoublePoint(array $p) X-Ref |
| Doubles a jacobian coordinate on the curve return: FiniteField[] |
| jacobianDoublePointMixed(array $p) X-Ref |
| Doubles a "fresh" jacobian coordinate on the curve return: FiniteField[] |
| doublePoint(array $p) X-Ref |
| Doubles a point on a curve return: FiniteField[] |
| derivePoint($m) X-Ref |
| Returns the X coordinate and the derived Y coordinate return: array |
| verifyPoint(array $p) X-Ref |
| Tests whether or not the x / y values satisfy the equation return: boolean |
| getModulo() X-Ref |
| Returns the modulo return: \phpseclib3\Math\BigInteger |
| getA() X-Ref |
| Returns the a coefficient return: \phpseclib3\Math\PrimeField\Integer |
| getB() X-Ref |
| Returns the a coefficient return: \phpseclib3\Math\PrimeField\Integer |
| multiplyAddPoints(array $points, array $scalars) X-Ref |
| Multiply and Add Points Adapted from: https://github.com/indutny/elliptic/blob/725bd91/lib/elliptic/curve/base.js#L125 return: int[] |
| getNAFPoints(array $point, $wnd) X-Ref |
| Precomputes NAF points Adapted from: https://github.com/indutny/elliptic/blob/725bd91/lib/elliptic/curve/base.js#L351 return: int[] |
| getJSFPoints(Integer $k1, Integer $k2) X-Ref |
| Precomputes points in Joint Sparse Form Adapted from: https://github.com/indutny/elliptic/blob/725bd91/lib/elliptic/utils.js#L96 return: int[] |
| convertToAffine(array $p) X-Ref |
| Returns the affine point A Jacobian Coordinate is of the form (x, y, z). To convert a Jacobian Coordinate to an Affine Point you do (x / z^2, y / z^3) return: \phpseclib3\Math\PrimeField\Integer[] |
| convertToInternal(array $p) X-Ref |
| Converts an affine point to a jacobian coordinate return: \phpseclib3\Math\PrimeField\Integer[] |