类的使用
org.openeuler.SM2P256V1Point

使用SM2P256V1Point的程序包

程序包	说明
org.openeuler
org.openeuler.util

org.openeuler中SM2P256V1Point的使用

声明为SM2P256V1Point的org.openeuler中的字段

限定符和类型	字段和说明
private SM2P256V1Point[]	SM2PreComputeInfo.lookupTable
private SM2P256V1Point	SM2PreComputeInfo.offset
private static SM2P256V1Point	SM2P256V1Point.POINT_INFINITY

返回SM2P256V1Point的org.openeuler中的方法

限定符和类型	方法和说明
SM2P256V1Point[]	SM2PreComputeInfo.getLookupTable()
SM2P256V1Point	SM2PreComputeInfo.getOffset()
static SM2P256V1Point	SM2P256V1Point.getPointInfinity()
SM2P256V1Point	SM2P256V1Point.negate()

参数类型为SM2P256V1Point的org.openeuler中的方法

限定符和类型	方法和说明
void	SM2PreComputeInfo.setLookupTable(SM2P256V1Point[] lookupTable)
void	SM2PreComputeInfo.setOffset(SM2P256V1Point offset)

org.openeuler.util中SM2P256V1Point的使用

返回SM2P256V1Point的org.openeuler.util中的方法

限定符和类型	方法和说明
(专用程序包) static SM2P256V1Point	GMUtil.add(SM2P256V1Point p1, SM2P256V1Point p2) U2 = lambda2 S2 = lambda5 U1 = lambda1 S1 = lambda4 H = U1 - U2 = lambda1 - lambda2 = lambda3 R = S1 - S2 = lambda4 - lambda5 = lambda6 G = H^3 = (lambda3)^3 V = H^2 * U1 = (lambda3)^2 * lambda1 G = -H^3 = -(lambda3)^3 tt1 = S1 * G = lambda4 * (- (lambda3)^3) G = 2*V + G = 2 * (lambda3^2 * lambda1) + (-(lambda3)^3 ) = lambda3^2 (2 * lambda1 - lambda3) = lambda3^2 ( 2 * lambda1 - (lambda1 - lambda2)) = lambda3^2 * (lambda1 + lambda2 ) = lambda3^2 * lambda7 X3 = R^2 - G = lambda6^2 - lambda7 *(lambda3)^2 Y3 = (V - X3) * R + tt1 = (lambda1 * (lambda3)^2 - X3) * lambda6 + (lambda4 * (- (lambda3)^3)) = lambda6 * (lambda1 * (lambda3)^2 - X3) - lambda4 * (lambda3)^3 Z3 = H * Z1 * Z2 = lambda3 * Z1 * Z2 = Z1 * Z2 * lambda3
(专用程序包) static SM2P256V1Point	GMUtil.subtract(SM2P256V1Point p1, SM2P256V1Point p2)
(专用程序包) static SM2P256V1Point	GMUtil.timesPow2(SM2P256V1Point p, int e)
private static SM2P256V1Point	GMUtil.twice(SM2P256V1Point p1) T = (Y1)^4 t2 = (Z1)^2 t1 = X1 - (Z1)^2 M = X1 + (Z1)^2 M = M * t1 = (X1)^2 - (Z1)^4 M = M + M + M = 3 * (X1)^2 - 3 *(Z1)^4 <==> Is it equivalent?

参数类型为SM2P256V1Point的org.openeuler.util中的方法

限定符和类型	方法和说明
(专用程序包) static SM2P256V1Point	GMUtil.add(SM2P256V1Point p1, SM2P256V1Point p2) U2 = lambda2 S2 = lambda5 U1 = lambda1 S1 = lambda4 H = U1 - U2 = lambda1 - lambda2 = lambda3 R = S1 - S2 = lambda4 - lambda5 = lambda6 G = H^3 = (lambda3)^3 V = H^2 * U1 = (lambda3)^2 * lambda1 G = -H^3 = -(lambda3)^3 tt1 = S1 * G = lambda4 * (- (lambda3)^3) G = 2*V + G = 2 * (lambda3^2 * lambda1) + (-(lambda3)^3 ) = lambda3^2 (2 * lambda1 - lambda3) = lambda3^2 ( 2 * lambda1 - (lambda1 - lambda2)) = lambda3^2 * (lambda1 + lambda2 ) = lambda3^2 * lambda7 X3 = R^2 - G = lambda6^2 - lambda7 *(lambda3)^2 Y3 = (V - X3) * R + tt1 = (lambda1 * (lambda3)^2 - X3) * lambda6 + (lambda4 * (- (lambda3)^3)) = lambda6 * (lambda1 * (lambda3)^2 - X3) - lambda4 * (lambda3)^3 Z3 = H * Z1 * Z2 = lambda3 * Z1 * Z2 = Z1 * Z2 * lambda3
private static SM2PreComputeInfo	SM2PreComputeUtil.createPreComputeInfo(SM2P256V1Point p, int fieldSize)
(专用程序包) static SM2PreComputeInfo	SM2PreComputeUtil.getSM2PointPreComputeInfo(SM2Point sm2Point, int fieldSize, SM2P256V1Point sm2P256V1Point)
(专用程序包) static SM2P256V1Point	GMUtil.subtract(SM2P256V1Point p1, SM2P256V1Point p2)
(专用程序包) static SM2P256V1Point	GMUtil.timesPow2(SM2P256V1Point p, int e)
private static SM2P256V1Point	GMUtil.twice(SM2P256V1Point p1) T = (Y1)^4 t2 = (Z1)^2 t1 = X1 - (Z1)^2 M = X1 + (Z1)^2 M = M * t1 = (X1)^2 - (Z1)^4 M = M + M + M = 3 * (X1)^2 - 3 *(Z1)^4 <==> Is it equivalent?