Iiy$SSKJr "SS5rg))Pointc\rSrSr\S5r\S5r\S5r\S5r\S5r \S5r \S5r \S 5r \S 5r S rg ) Mathc&[XS-S-U5$)Nrr)pow)clsvalueprimes 8/venv/lib/python3.13/site-packages/ellipticcurve/math.pymodularSquareRootMath.modularSquareRoots519*E22c fURURURU5X#XE5U5$)a Fast way to multily point and scalar in elliptic curves :param p: First Point to mutiply :param n: Scalar to mutiply :param N: Order of the elliptic curve :param P: Prime number in the module of the equation Y^2 = X^3 + A*X + B (mod p) :param A: Coefficient of the first-order term of the equation Y^2 = X^3 + A*X + B (mod p) :return: Point that represents the sum of First and Second Point ) _fromJacobian_jacobianMultiply _toJacobianr pnNAPs r multiply Math.multiply s4   ! !#//!"4aA A1  rcURURURU5URU5X45U5$)ai Fast way to add two points in elliptic curves :param p: First Point you want to add :param q: Second Point you want to add :param P: Prime number in the module of the equation Y^2 = X^3 + A*X + B (mod p) :param A: Coefficient of the first-order term of the equation Y^2 = X^3 + A*X + B (mod p) :return: Point that represents the sum of First and Second Point )r _jacobianAddr)r rqrrs r addMath.adds=    S__Q/1CQ JA  rc|US:XagSnSnX-nUnUS:a"Xe-nXCU-- nXeU-- n UnUnU nUnUS:aM"X2-$)z Extended Euclidean Algorithm. It's the 'division' in elliptic curves :param x: Divisor :param n: Mod for division :return: Value representing the division r) r xrlmhmlowhighrnmnws r invMath.inv)sn 6  eAg A1fBaBDBCBAgv rcD[URURS5$)zu Convert point to Jacobian coordinates :param p: First Point you want to add :return: Point in Jacobian coordinates r)rr$y)r rs r rMath._toJacobianEsQSS!##q!!rcURURU5nURUS--U-nURUS--U-n[ XES5$)z Convert point back from Jacobian coordinates :param p: First Point you want to add :param P: Prime number in the module of the equation Y^2 = X^3 + A*X + B (mod p) :return: Point in default coordinates r")r,zr$r/r)r rrr4r$r/s r rMath._fromJacobianOsO GGACCO SS16\Q  SS16\Q Q1~rcpURS:Xa [SSS5$URS-U-nSUR-U-U-nSURS--X!RS---U-nUS-SU-- U-nXeU- -SUS--- U-nSUR-UR-U-n [XxU 5$)a3 Double a point in elliptic curves :param p: Point you want to double :param P: Prime number in the module of the equation Y^2 = X^3 + A*X + B (mod p) :param A: Coefficient of the first-order term of the equation Y^2 = X^3 + A*X + B (mod p) :return: Point that represents the sum of First and Second Point r"r2rr3)r/rr$r4) r rrrysqSMnxnynzs r _jacobianDoubleMath._jacobianDouble^s 33!8Aq> !ssax1n Ws]a  \AqL (A -dQUla r6lQ\)Q .!##gmq RR  rcbURS:XaU$URS:XaU$URURS--U-nURURS--U-nURURS--U-nURURS--U-nXV:Xa$Xx:wa [SSS5$UR XU5$Xe- n X- n X-U-n X-U-n X[-U-n U S-U - SU -- U-nXU- -X|-- U-nXR-UR-U-n[XU5$)a] Add two points in elliptic curves :param p: First Point you want to add :param q: Second Point you want to add :param P: Prime number in the module of the equation Y^2 = X^3 + A*X + B (mod p) :param A: Coefficient of the first-order term of the equation Y^2 = X^3 + A*X + B (mod p) :return: Point that represents the sum of First and Second Point r"r2r3r)r/r$r4rr>)r rrrrU1U2S1S2HRH2H3U1H2r;r<r=s r rMath._jacobianAddts= 33!8H 33!8HccACC1Hn !ccACC1Hn !ccACC1Hn !ccACC1Hn ! 8xQ1~%&&qQ/ / G Geq[f\1}1frkAH$ )"9o'1 ,##gmq RR  rc fURS:XdUS:Xa [SSS5$US:XaU$US:dX#:aURXU-X4U5$US-S:Xa&URURXS-X4U5XE5$UR URURXS-X4U5XE5XU5$)a} Multily point and scalar in elliptic curves :param p: First Point to mutiply :param n: Scalar to mutiply :param N: Order of the elliptic curve :param P: Prime number in the module of the equation Y^2 = X^3 + A*X + B (mod p) :param A: Coefficient of the first-order term of the equation Y^2 = X^3 + A*X + B (mod p) :return: Point that represents the sum of First and Second Point r"rr2)r/rrr>rrs r rMath._jacobianMultiplys 33!8qAvAq> ! 6H q5AF((E1; ; Ea<&&%%aaq91     5 5aaq I1 PRSXY  rr#N)__name__ __module__ __qualname____firstlineno__ classmethodr rrr,rrr>rr__static_attributes__r#rr rrs33        6""  !!*"!"!H  rrN)pointrrr#rr rTsq q r