diff options
Diffstat (limited to 'src/secp256k1/sage/weierstrass_prover.sage')
| -rw-r--r-- | src/secp256k1/sage/weierstrass_prover.sage | 32 |
1 files changed, 16 insertions, 16 deletions
diff --git a/src/secp256k1/sage/weierstrass_prover.sage b/src/secp256k1/sage/weierstrass_prover.sage index 03ef2ec901..b770c6dafe 100644 --- a/src/secp256k1/sage/weierstrass_prover.sage +++ b/src/secp256k1/sage/weierstrass_prover.sage @@ -175,24 +175,24 @@ laws_jacobian_weierstrass = { def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p): """Verify an implementation of addition of Jacobian points on a Weierstrass curve, by executing and validating the result for every possible addition in a prime field""" F = Integers(p) - print "Formula %s on Z%i:" % (name, p) + print("Formula %s on Z%i:" % (name, p)) points = [] - for x in xrange(0, p): - for y in xrange(0, p): + for x in range(0, p): + for y in range(0, p): point = affinepoint(F(x), F(y)) r, e = concrete_verify(on_weierstrass_curve(A, B, point)) if r: points.append(point) - for za in xrange(1, p): - for zb in xrange(1, p): + for za in range(1, p): + for zb in range(1, p): for pa in points: for pb in points: - for ia in xrange(2): - for ib in xrange(2): + for ia in range(2): + for ib in range(2): pA = jacobianpoint(pa.x * F(za)^2, pa.y * F(za)^3, F(za), ia) pB = jacobianpoint(pb.x * F(zb)^2, pb.y * F(zb)^3, F(zb), ib) - for branch in xrange(0, branches): + for branch in range(0, branches): assumeAssert, assumeBranch, pC = formula(branch, pA, pB) pC.X = F(pC.X) pC.Y = F(pC.Y) @@ -206,13 +206,13 @@ def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p): r, e = concrete_verify(assumeLaw) if r: if match: - print " multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity) + print(" multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity)) else: match = True r, e = concrete_verify(require) if not r: - print " failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e) - print + print(" failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e)) + print() def check_symbolic_function(R, assumeAssert, assumeBranch, f, A, B, pa, pb, pA, pB, pC): @@ -242,9 +242,9 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula): for key in laws_jacobian_weierstrass: res[key] = [] - print ("Formula " + name + ":") + print("Formula " + name + ":") count = 0 - for branch in xrange(branches): + for branch in range(branches): assumeFormula, assumeBranch, pC = formula(branch, pA, pB) pC.X = lift(pC.X) pC.Y = lift(pC.Y) @@ -255,10 +255,10 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula): res[key].append((check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC), branch)) for key in res: - print " %s:" % key + print(" %s:" % key) val = res[key] for x in val: if x[0] is not None: - print " branch %i: %s" % (x[1], x[0]) + print(" branch %i: %s" % (x[1], x[0])) - print + print() |