sage: Exit with non-zero status in case of failures
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@ -299,22 +299,21 @@ def check_symbolic(R, assumeLaw, assumeAssert, assumeBranch, require):
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if conflicts(R, assume):
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# This formula does not apply
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return None
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return (True, None)
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describe = describe_extra(R, assumeLaw + assumeBranch, assumeAssert)
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if describe != "":
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describe = " (assuming " + describe + ")"
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ok, msg = prove_zero(R, require.zero, assume)
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if not ok:
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return "FAIL, %s fails (assuming %s)" % (str(msg), describe)
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return (False, "FAIL, %s fails%s" % (str(msg), describe))
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res, expl = prove_nonzero(R, require.nonzero, assume)
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if not res:
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return "FAIL, %s fails (assuming %s)" % (str(expl), describe)
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return (False, "FAIL, %s fails%s" % (str(expl), describe))
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if describe != "":
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return "OK (assuming %s)" % describe
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else:
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return "OK"
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return (True, "OK%s" % describe)
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def concrete_verify(c):
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@ -292,15 +292,18 @@ def formula_secp256k1_gej_add_ge_old(branch, a, b):
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return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zero, nonzero=nonzero), jacobianpoint(rx, ry, rz))
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if __name__ == "__main__":
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check_symbolic_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var)
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check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var)
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check_symbolic_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var)
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check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge)
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check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old)
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success = True
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success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var)
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success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var)
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success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var)
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success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge)
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success = success & (not check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old))
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if len(sys.argv) >= 2 and sys.argv[1] == "--exhaustive":
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check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var, 43)
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check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var, 43)
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check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var, 43)
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check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge, 43)
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check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old, 43)
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success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var, 43)
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success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var, 43)
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success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var, 43)
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success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge, 43)
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success = success & (not check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old, 43))
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sys.exit(int(not success))
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@ -184,6 +184,7 @@ def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p):
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if r:
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points.append(point)
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ret = True
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for za in range(1, p):
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for zb in range(1, p):
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for pa in points:
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@ -211,8 +212,11 @@ def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p):
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match = True
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r, e = concrete_verify(require)
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if not r:
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ret = False
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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))
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print()
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return ret
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def check_symbolic_function(R, assumeAssert, assumeBranch, f, A, B, pa, pb, pA, pB, pC):
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@ -244,6 +248,7 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula):
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print("Formula " + name + ":")
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count = 0
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ret = True
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for branch in range(branches):
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assumeFormula, assumeBranch, pC = formula(branch, pA, pB)
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pC.X = lift(pC.X)
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@ -252,7 +257,10 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula):
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pC.Infinity = lift(pC.Infinity)
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for key in laws_jacobian_weierstrass:
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res[key].append((check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC), branch))
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success, msg = check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC)
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if not success:
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ret = False
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res[key].append((msg, branch))
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for key in res:
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print(" %s:" % key)
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@ -262,3 +270,4 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula):
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print(" branch %i: %s" % (x[1], x[0]))
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print()
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return ret
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