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test_secgroups.py
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import operator
import unittest
import mpyc.fingroups as fg
from mpyc.runtime import mpc
class Arithmetic(unittest.TestCase):
@classmethod
def setUpClass(cls):
mpc.logging(False)
@classmethod
def tearDownClass(cls):
pass
# TODO: test caching
def test_Sn(self):
group = fg.SymmetricGroup(5)
a = group([3, 4, 2, 1, 0])
b = a @ a
secgrp = mpc.SecGrp(group)
c = secgrp(a)
mpc.peek(c)
d = a @ c
mpc.peek([c, d])
self.assertEqual(mpc.run(mpc.output(d)), b)
e = ~c
f = e @ b
self.assertEqual(mpc.run(mpc.output(f)), a)
self.assertTrue(mpc.run(mpc.output(f == c)))
group = fg.SymmetricGroup(11)
secgrp = mpc.SecGrp(group)
a = group([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0])
secfld = mpc.SecFld(11) # ord(a) = 11
a7 = secgrp.repeat(a, secfld(7))
self.assertEqual(mpc.run(mpc.output(a7)), a^7)
a7 = secgrp.repeat_public(a, secfld(7))
self.assertEqual(mpc.run(a7), a^7)
a6 = a^6
a12 = a6 @ a6
self.assertEqual(mpc.run(mpc.output(secgrp(a6).inverse())), a^5)
self.assertEqual(mpc.run(mpc.output((secgrp(a)^6) @ secgrp.identity)), a6)
self.assertEqual(mpc.run(mpc.output(secgrp.repeat(a6, secfld(2)))), a12)
self.assertEqual(mpc.run(mpc.output(secgrp.repeat(secgrp(a), secfld(6)))), a6)
p = secgrp(a)
self.assertRaises(TypeError, operator.add, p, p)
self.assertRaises(TypeError, operator.mul, p, p)
self.assertRaises(TypeError, operator.mul, 1, p)
group.is_multiplicative = True
self.assertTrue(mpc.run(mpc.output(a * p == a^2)))
group.is_multiplicative = False
self.assertRaises(ValueError, secgrp, [0, 1, 2, 3])
def test_QR_SG(self):
for group in fg.QuadraticResidues(l=768), fg.SchnorrGroup(l=768):
secgrp = mpc.SecGrp(group)
g = group.generator
g2 = mpc.run(mpc.output(secgrp(g) * g))
self.assertEqual(int(g), int(group.identity * g))
self.assertFalse(mpc.run(mpc.output(secgrp(g)/g != group.identity)))
self.assertTrue(mpc.run(mpc.output(g * secgrp(g) == g2)))
secfld = mpc.SecFld(modulus=secgrp.group.order)
self.assertEqual(mpc.run(mpc.output(secgrp.repeat(g, -secfld(2)))), 1/g2)
self.assertEqual(mpc.run(mpc.output(secgrp.repeat(secgrp(g), 2))), g2)
m, z = group.encode(15)
self.assertEqual(mpc.run(mpc.output(secgrp.decode(secgrp(m), secgrp(z)))), 15)
h = secgrp.if_else(secgrp.sectype(0), g, secgrp(g2))
self.assertEqual(mpc.run(mpc.output(h)), g2)
a = secgrp(g)
mpc.peek([a, a])
self.assertRaises(TypeError, operator.truediv, 2, a)
self.assertRaises(TypeError, operator.add, a, a)
self.assertRaises(TypeError, operator.add, g, a)
self.assertRaises(TypeError, operator.neg, a)
self.assertRaises(TypeError, operator.sub, a, a)
self.assertRaises(TypeError, operator.sub, g, a)
def test_EC(self):
curves = (fg.EllipticCurve('Ed25519'), # affine coordinates
fg.EllipticCurve('Ed25519', coordinates='projective'),
fg.EllipticCurve('Ed25519', coordinates='extended'),
fg.EllipticCurve('Ed448', coordinates='projective'),
fg.EllipticCurve('secp256k1', coordinates='projective'),
fg.EllipticCurve('BN256', coordinates='projective'),
fg.EllipticCurve('BN256_twist', coordinates='projective'))
for group in curves:
secgrp = mpc.SecGrp(group)
secfld = mpc.SecFld(modulus=secgrp.group.order)
g = group.generator
self.assertFalse(mpc.run(mpc.output(secgrp(g) != g)))
b = secgrp(g.value)
self.assertEqual(mpc.run(mpc.output(b - b)), group.identity)
c = secgrp(g)
self.assertEqual(mpc.run(mpc.output(b)), mpc.run(mpc.output(c)))
self.assertEqual(mpc.run(secgrp.repeat_public(g, -secfld(2))), g^-2)
self.assertEqual(mpc.run(mpc.output(secfld(2)*g)), g^2)
self.assertEqual(mpc.run(mpc.output(2*secgrp(g))), g^2)
bp4 = 4*g
sec_bp4 = 4*secgrp(g) + secgrp.identity
mpc.peek([sec_bp4, sec_bp4])
self.assertEqual(mpc.run(mpc.output(-sec_bp4)), -bp4)
sec_bp8 = secgrp.repeat(bp4, secfld(2))
self.assertEqual(mpc.run(mpc.output(sec_bp8)), bp4 + bp4)
self.assertEqual(mpc.run(mpc.output(secgrp.repeat(bp4, secfld(3)))), 3*bp4)
self.assertEqual(mpc.run(mpc.output(group.identity + b)), g)
self.assertEqual(mpc.run(mpc.output(g - b)), group.identity)
if group.curvename != 'BN256_twist':
m, z = group.encode(42)
self.assertEqual(mpc.run(mpc.output(secgrp.decode(secgrp(m), secgrp(z)))), 42)
self.assertRaises(TypeError, operator.mul, sec_bp4, 13)
self.assertRaises(TypeError, operator.truediv, sec_bp4, sec_bp4)
self.assertRaises(TypeError, operator.truediv, 1, sec_bp4)
self.assertRaises(TypeError, operator.pow, sec_bp4, 1)
self.assertRaises(ValueError, secgrp, [0])
def test_Cl(self):
Cl23 = fg.ClassGroup(Delta=-23)
secgrp = mpc.SecGrp(Cl23)
secint = secgrp.sectype
g = Cl23.generator
self.assertFalse(mpc.run(mpc.output(secgrp(g) != g)))
self.assertEqual(mpc.run(secgrp.repeat_public(g, -secint(2))), g)
self.assertEqual(mpc.run(mpc.output(g**secint(-2))), g)
self.assertEqual(mpc.run(mpc.output(g * secgrp(g))), Cl23((2, -1, 3)))
Cl227 = fg.ClassGroup(Delta=-227) # Example 9.6.2 from Buchman&Vollmer
secgrp = mpc.SecGrp(Cl227)
g = Cl227((3, 1, 19))
self.assertEqual(mpc.run(mpc.output(secgrp(g)^5)), g^5)
Cl1123 = fg.ClassGroup(Delta=-1123) # Example 9.7.5 from Buchman&Vollmer
secgrp = mpc.SecGrp(Cl1123)
self.assertEqual(Cl1123((1, 1, 281)), Cl1123.identity)
g = Cl1123((7, 5, 41))
self.assertEqual(mpc.run(mpc.output(secgrp(g)^5)), g^5)
self.assertEqual(mpc.run(mpc.output(secgrp(g)**3)), g^3)
group = fg.ClassGroup(l=28)
secgrp = mpc.SecGrp(group)
g = group.generator
a = secgrp(g)^6
mpc.peek(a)
self.assertEqual(mpc.run(mpc.output(a)), g^6)
self.assertEqual(mpc.run(mpc.output(a * (a^-1))), group.identity)
m, z = group.encode(5)
self.assertEqual(mpc.run(mpc.output(secgrp.decode(secgrp(m), secgrp(z)))), 5)
self.assertRaises(ValueError, secgrp, [0])
if __name__ == "__main__":
unittest.main()