예제 #1
0
 def test_misc(self):
     secint = mpc.SecInt()
     secfxp = mpc.SecFxp()
     secfld = mpc.SecFld()
     for secnum in (secint, secfxp, secfld):
         self.assertEqual(type(mpc.run(mpc.output(secnum(0), raw=True))), secnum.field)
         self.assertEqual(mpc.run(mpc.output(mpc._reshare([secnum(0)]))), [0])
         self.assertEqual(mpc.run(mpc.output(mpc.all(secnum(1) for _ in range(5)))), True)
         self.assertEqual(mpc.run(mpc.output(mpc.all([secnum(1), secnum(1), secnum(0)]))), False)
         self.assertEqual(mpc.run(mpc.output(mpc.any(secnum(0) for _ in range(5)))), False)
         self.assertEqual(mpc.run(mpc.output(mpc.any([secnum(0), secnum(1), secnum(1)]))), True)
         self.assertEqual(mpc.run(mpc.output(mpc.sum([secnum(1)], start=1))), 2)
         self.assertEqual(mpc.run(mpc.output(mpc.prod([secnum(1)], start=1))), 1)
         self.assertEqual(mpc.run(mpc.output(mpc.sum([secnum(1)], start=secnum(1)))), 2)
     self.assertEqual(mpc.run(mpc.output(mpc.min(secint(i) for i in range(-1, 2, 1)))), -1)
     self.assertEqual(mpc.run(mpc.output(mpc.argmin(secint(i) for i in range(-1, 2, 1))[0])), 0)
     self.assertEqual(mpc.run(mpc.output(mpc.max(secfxp(i) for i in range(-1, 2, 1)))), 1)
     self.assertEqual(mpc.run(mpc.output(mpc.argmax(secfxp(i) for i in range(-1, 2, 1))[0])), 2)
     self.assertEqual(mpc.run(mpc.output(list(mpc.min_max(map(secfxp, range(5)))))), [0, 4])
     x = (secint(i) for i in range(-3, 3))
     s = [0, -1, 1, -2, 2, -3]
     self.assertEqual(mpc.run(mpc.output(mpc.sorted(x, key=lambda a: a*(2*a+1)))), s)
     x = (secfxp(i) for i in range(5))
     self.assertEqual(mpc.run(mpc.output(mpc.sorted(x, reverse=True))), [4, 3, 2, 1, 0])
     self.assertEqual(mpc.run(mpc.output(mpc.sum(map(secint, range(5))))), 10)
     self.assertEqual(mpc.run(mpc.output(mpc.sum([secfxp(2.75)], start=3.125))), 5.875)
     self.assertEqual(int(mpc.run(mpc.output(mpc.prod(map(secfxp, range(1, 5)))))), 24)
     self.assertEqual(int(mpc.run(mpc.output(mpc.prod([secfxp(1.414214)]*4)))), 4)
예제 #2
0
 def test_misc(self):
     secint = mpc.SecInt()
     secfxp = mpc.SecFxp()
     secfld = mpc.SecFld()
     for secnum in (secint, secfxp, secfld):
         self.assertEqual(mpc.run(mpc.output(mpc._reshare([secnum(0)]))),
                          [0])
         self.assertEqual(
             mpc.run(mpc.output(mpc.all(secnum(1) for _ in range(5)))),
             True)
         self.assertEqual(
             mpc.run(mpc.output(mpc.all([secnum(1),
                                         secnum(1),
                                         secnum(0)]))), False)
         self.assertEqual(
             mpc.run(mpc.output(mpc.any(secnum(0) for _ in range(5)))),
             False)
         self.assertEqual(
             mpc.run(mpc.output(mpc.any([secnum(0),
                                         secnum(1),
                                         secnum(1)]))), True)
         self.assertEqual(
             mpc.run(mpc.output(mpc.sum([secnum(1)], start=1))), 2)
         self.assertEqual(
             mpc.run(mpc.output(mpc.prod([secnum(1)], start=1))), 1)
         self.assertEqual(
             mpc.run(mpc.output(mpc.sum([secnum(1)], start=secnum(1)))), 2)
     self.assertEqual(
         mpc.run(mpc.output(mpc.min(secint(i) for i in range(-1, 2, 1)))),
         -1)
     self.assertEqual(
         mpc.run(mpc.output(mpc.max(secfxp(i) for i in range(-1, 2, 1)))),
         1)
     self.assertEqual(
         mpc.run(mpc.output(list(mpc.min_max(map(secfxp, range(5)))))),
         [0, 4])
     self.assertEqual(mpc.run(mpc.output(mpc.sum(map(secint, range(5))))),
                      10)
     self.assertEqual(
         mpc.run(mpc.output(mpc.sum([secfxp(2.72)], start=3.14))), 5.86)
     self.assertEqual(
         int(mpc.run(mpc.output(mpc.prod(map(secfxp, range(1, 5)))))), 24)
     self.assertEqual(
         int(mpc.run(mpc.output(mpc.prod([secfxp(1.414214)] * 4)))), 4)
예제 #3
0
 def test_misc(self):
     secint = mpc.SecInt()
     secfxp = mpc.SecFxp()
     secfld = mpc.SecFld()
     for secnum in (secint, secfxp, secfld):
         self.assertEqual(type(mpc.run(mpc.output(secnum(0), raw=True))),
                          secnum.field)
         self.assertEqual(mpc.run(mpc.output(mpc._reshare([secnum(0)]))),
                          [0])
         self.assertEqual(
             mpc.run(mpc.output(mpc.all(secnum(1) for _ in range(5)))),
             True)
         self.assertEqual(
             mpc.run(mpc.output(mpc.all([secnum(1),
                                         secnum(1),
                                         secnum(0)]))), False)
         self.assertEqual(
             mpc.run(mpc.output(mpc.any(secnum(0) for _ in range(5)))),
             False)
         self.assertEqual(
             mpc.run(mpc.output(mpc.any([secnum(0),
                                         secnum(1),
                                         secnum(1)]))), True)
         self.assertEqual(
             mpc.run(mpc.output(mpc.sum([secnum(1)], start=1))), 2)
         self.assertEqual(
             mpc.run(mpc.output(mpc.prod([secnum(1)], start=1))), 1)
         self.assertEqual(
             mpc.run(mpc.output(mpc.sum([secnum(1)], start=secnum(1)))), 2)
         self.assertEqual(
             mpc.run(mpc.output(mpc.find([secnum(1)], 0, e=-1))), -1)
         self.assertEqual(mpc.run(mpc.output(mpc.find([secnum(1)], 1))), 0)
         self.assertEqual(
             mpc.run(mpc.output(mpc.find([secnum(1)], 1, f=lambda i: i))),
             0)
     self.assertEqual(
         mpc.run(mpc.output(mpc.min(secint(i) for i in range(-1, 2, 1)))),
         -1)
     self.assertEqual(
         mpc.run(
             mpc.output(mpc.argmin(secint(i) for i in range(-1, 2, 1))[0])),
         0)
     self.assertEqual(
         mpc.run(mpc.output(mpc.max(secfxp(i) for i in range(-1, 2, 1)))),
         1)
     self.assertEqual(
         mpc.run(
             mpc.output(mpc.argmax(secfxp(i) for i in range(-1, 2, 1))[0])),
         2)
     self.assertEqual(
         mpc.run(mpc.output(list(mpc.min_max(map(secfxp, range(5)))))),
         [0, 4])
     x = (secint(i) for i in range(-3, 3))
     s = [0, -1, 1, -2, 2, -3]
     self.assertEqual(
         mpc.run(mpc.output(mpc.sorted(x, key=lambda a: a * (2 * a + 1)))),
         s)
     x = (secfxp(i) for i in range(5))
     self.assertEqual(mpc.run(mpc.output(mpc.sorted(x, reverse=True))),
                      [4, 3, 2, 1, 0])
     self.assertEqual(mpc.run(mpc.output(mpc.sum(map(secint, range(5))))),
                      10)
     self.assertEqual(
         mpc.run(mpc.output(mpc.sum([secfxp(2.75)], start=3.125))), 5.875)
     self.assertEqual(
         int(mpc.run(mpc.output(mpc.prod(map(secfxp, range(1, 5)))))), 24)
     self.assertEqual(
         int(mpc.run(mpc.output(mpc.prod([secfxp(1.414214)] * 4)))), 4)
     self.assertEqual(mpc.find([], 0), 0)
     self.assertEqual(mpc.find([], 0, e=None), (1, 0))
     self.assertEqual(
         mpc.run(mpc.output(list(mpc.find([secfld(1)], 1, e=None)))),
         [0, 0])
     self.assertEqual(
         mpc.run(mpc.output(mpc.find([secfld(2)], 2, bits=False))), 0)
     x = [secint(i) for i in range(5)]
     f = lambda i: [i**2, 3**i]
     self.assertEqual(mpc.run(mpc.output(mpc.find(x, 2, bits=False, f=f))),
                      [4, 9])
     cs_f = lambda b, i: [b * (2 * i + 1) + i**2, (b * 2 + 1) * 3**i]
     self.assertEqual(
         mpc.run(mpc.output(mpc.find(x, 2, bits=False, cs_f=cs_f))), [4, 9])
예제 #4
0
    def test_secfxp(self):
        secfxp = mpc.SecFxp()
        self.assertEqual(
            mpc.run(mpc.output(mpc.input(secfxp(7.75), senders=0))), 7.75)
        c = mpc.to_bits(secfxp(0),
                        0)  # mpc.output() only works for nonempty lists
        self.assertEqual(c, [])
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(0))))
        self.assertEqual(c, [0.0] * 32)
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(1))))
        self.assertEqual(c, [0.0] * 16 + [1.0] + [0.0] * 15)
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(0.5))))
        self.assertEqual(c, [0.0] * 15 + [1.0] + [0.0] * 16)
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(8113))))
        self.assertEqual(c, [0.0] * 16 +
                         [1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0])
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(2**15 - 1))))
        self.assertEqual(c, [0] * 16 + [1] * 15 + [0])
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(-1))))
        self.assertEqual(c, [0] * 16 + [1] * 16)
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(-2**15))))
        self.assertEqual(c, [0] * 31 + [1])

        for f in [8, 16, 32, 64]:
            secfxp = mpc.SecFxp(2 * f)
            c = mpc.run(mpc.output(secfxp(1) + secfxp(1)))
            self.assertEqual(c, 2)
            c = mpc.run(mpc.output(secfxp(2**-f) + secfxp(1)))
            if f != 64:  # NB: 1 + 2**-64 == 1 in Python
                self.assertEqual(c, 1 + 2**-f)
            self.assertEqual(mpc.run(mpc.output(secfxp(0.5) * secfxp(2.0))), 1)
            self.assertEqual(mpc.run(mpc.output(secfxp(2.0) * secfxp(0.5))), 1)
            c = mpc.run(
                mpc.output(
                    secfxp(2**(f // 2 - 1) - 0.5) *
                    secfxp(-2**(f // 2) + 0.5)))
            self.assertEqual(c, -2**(f - 1) + 1.5 * 2**(f // 2 - 1) - 0.25)

            s = [10.75, -3.375, 0.125, -0.125]
            self.assertEqual(mpc.run(mpc.output(list(map(secfxp, s)))), s)

            s = [10.5, -3.25, 0.125, -0.125]
            a, b, c, d = list(map(secfxp, s))
            t = [v * v for v in s]
            self.assertEqual(mpc.run(mpc.output([a * a, b * b, c * c, d * d])),
                             t)
            x = [a, b, c, d]
            self.assertEqual(mpc.run(mpc.output(mpc.schur_prod(x, x))), t)
            self.assertEqual(mpc.run(mpc.output(mpc.schur_prod(x, x[:]))), t)
            t = sum(t)
            self.assertEqual(mpc.run(mpc.output(mpc.in_prod(x, x))), t)
            self.assertEqual(mpc.run(mpc.output(mpc.in_prod(x, x[:]))), t)
            self.assertEqual(
                mpc.run(mpc.output(mpc.matrix_prod([x], [x], True)[0])), [t])
            u = mpc.unit_vector(secfxp(3), 4)
            self.assertEqual(
                mpc.run(mpc.output(mpc.matrix_prod([x], [u], True)[0])),
                [s[3]])
            self.assertEqual(
                mpc.run(mpc.output(mpc.matrix_prod([u], [x], True)[0])),
                [s[3]])
            self.assertEqual(
                mpc.run(mpc.output(mpc.gauss([[a]], b, [a], [b])[0])), [0])
            t = [_ for a, b, c, d in [s] for _ in [a + b, a * b, a - b]]
            self.assertEqual(mpc.run(mpc.output([a + b, a * b, a - b])), t)
            t = [
                _ for a, b, c, d in [s]
                for _ in [(a + b)**2, (a + b)**2 + 3 * c]
            ]
            self.assertEqual(
                mpc.run(mpc.output([(a + b)**2, (a + b)**2 + 3 * c])), t)
            t = [_ for a, b, c, d in [s] for _ in [a < b, b < c, c < d]]
            self.assertEqual(mpc.run(mpc.output([a < b, b < c, c < d])), t)
            t = s[0] < s[1] and s[1] < s[2]
            self.assertEqual(mpc.run(mpc.output((a < b) & (b < c))), t)
            t = s[0] < s[1] or s[1] < s[2]
            self.assertEqual(mpc.run(mpc.output((a < b) | (b < c))), t)
            t = (int(s[0] < s[1]) ^ int(s[1] < s[2]))
            self.assertEqual(mpc.run(mpc.output((a < b) ^ (b < c))), t)
            t = (int(not s[0] < s[1]) ^ int(s[1] < s[2]))
            self.assertEqual(mpc.run(mpc.output(~(a < b) ^ b < c)), t)
            t = [s[0] > 1, 10 * s[1] < 5, 10 * s[0] == 5]
            self.assertEqual(
                mpc.run(mpc.output([a > 1, 10 * b < 5, 10 * a == 5])), t)

            s[3] = -0.120
            d = secfxp(s[3])
            t = s[3] / 0.25
            self.assertAlmostEqual(mpc.run(mpc.output(d / 0.25)),
                                   t,
                                   delta=2**(1 - f))
            t = round(s[3] / s[2] + s[0])
            self.assertEqual(round(mpc.run(mpc.output(d / c + a))), t)
            t = ((s[0] + s[1])**2 + 3 * s[2]) / s[2]
            self.assertAlmostEqual(mpc.run(mpc.output(
                ((a + b)**2 + 3 * c) / c)),
                                   t,
                                   delta=2**(8 - f))
            t = 1 / s[3]
            self.assertAlmostEqual(mpc.run(mpc.output(1 / d)),
                                   t,
                                   delta=2**(6 - f))
            t = s[2] / s[3]
            self.assertAlmostEqual(mpc.run(mpc.output(c / d)),
                                   t,
                                   delta=2**(3 - f))
            t = -s[3] / s[2]
            self.assertAlmostEqual(mpc.run(mpc.output(-d / c)),
                                   t,
                                   delta=2**(3 - f))

            self.assertEqual(mpc.run(mpc.output(mpc.sgn(+a))), s[0] > 0)
            self.assertEqual(mpc.run(mpc.output(mpc.sgn(-a))), -(s[0] > 0))
            self.assertEqual(mpc.run(mpc.output(mpc.sgn(secfxp(0)))), 0)
            self.assertEqual(mpc.run(mpc.output(abs(secfxp(-1.5)))), 1.5)

            self.assertEqual(mpc.run(mpc.output(mpc.min(a, b, c, d))), min(s))
            self.assertEqual(mpc.run(mpc.output(mpc.min(a, 0))), min(s[0], 0))
            self.assertEqual(mpc.run(mpc.output(mpc.min(0, b))), min(0, s[1]))
            self.assertEqual(mpc.run(mpc.output(mpc.max(a, b, c, d))), max(s))
            self.assertEqual(mpc.run(mpc.output(mpc.max(a, 0))), max(s[0], 0))
            self.assertEqual(mpc.run(mpc.output(mpc.max(0, b))), max(0, s[1]))
            self.assertEqual(
                mpc.run(mpc.output(list(mpc.min_max(a, b, c, d)))),
                [min(s), max(s)])
            self.assertEqual(mpc.run(mpc.output(mpc.argmin([a, b, c, d])[0])),
                             1)
            self.assertEqual(
                mpc.run(mpc.output(mpc.argmin([a, b], key=operator.neg)[1])),
                max(s))
            self.assertEqual(mpc.run(mpc.output(mpc.argmax([a, b, c, d])[0])),
                             0)
            self.assertEqual(
                mpc.run(mpc.output(mpc.argmax([a, b], key=operator.neg)[1])),
                min(s))

            self.assertEqual(mpc.run(mpc.output(secfxp(5) % 2)), 1)
            self.assertEqual(mpc.run(mpc.output(secfxp(1) % 2**(1 - f))), 0)
            self.assertEqual(mpc.run(mpc.output(secfxp(2**-f) % 2**(1 - f))),
                             2**-f)
            self.assertEqual(
                mpc.run(mpc.output(secfxp(2 * 2**-f) % 2**(1 - f))), 0)
            self.assertEqual(mpc.run(mpc.output(secfxp(1) // 2**(1 - f))),
                             2**(f - 1))
            self.assertEqual(mpc.run(mpc.output(secfxp(27.0) % 7.0)), 6.0)
            self.assertEqual(mpc.run(mpc.output(secfxp(-27.0) // 7.0)), -4.0)
            self.assertEqual(
                mpc.run(mpc.output(list(divmod(secfxp(27.0), 6.0)))),
                [4.0, 3.0])
            self.assertEqual(mpc.run(mpc.output(secfxp(21.5) % 7.5)), 6.5)
            self.assertEqual(mpc.run(mpc.output(secfxp(-21.5) // 7.5)), -3.0)
            self.assertEqual(
                mpc.run(mpc.output(list(divmod(secfxp(21.5), 0.5)))),
                [43.0, 0.0])
예제 #5
0
    def test_secfxp(self):
        secfxp = mpc.SecFxp()
        c = mpc.to_bits(secfxp(0),
                        0)  # mpc.output() only works for nonempty lists
        self.assertEqual(c, [])
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(0))))
        self.assertEqual(c, [0.0] * 32)
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(1))))
        self.assertEqual(c, [0.0] * 16 + [1.0] + [0.0] * 15)
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(0.5))))
        self.assertEqual(c, [0.0] * 15 + [1.0] + [0.0] * 16)
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(8113))))
        self.assertEqual(c, [0.0] * 16 + [
            float(b) for b in [1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
        ])
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(2**15 - 1))))
        self.assertEqual(c, [float(b) for b in [0] * 16 + [1] * 15 + [0]])
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(-1))))
        self.assertEqual(c, [float(b) for b in [0] * 16 + [1] * 16])
        c = mpc.run(mpc.output(mpc.to_bits(secfxp(-2**15))))
        self.assertEqual(c, [float(b) for b in [0] * 31 + [1]])

        for f in [8, 16, 32, 64]:
            secfxp = mpc.SecFxp(2 * f)
            c = mpc.run(mpc.output(secfxp(1) + secfxp(1)))
            self.assertEqual(c.frac_length, f)
            self.assertEqual(c, 2)
            c = mpc.run(mpc.output(secfxp(2**-f) + secfxp(1)))
            if f != 64:  # NB: 1 + 2**-64 == 1 in Python
                self.assertEqual(c, 1 + 2**-f)
            self.assertEqual(mpc.run(mpc.output(secfxp(0.5) * secfxp(2.0))), 1)
            self.assertEqual(mpc.run(mpc.output(secfxp(2.0) * secfxp(0.5))), 1)

            s = [10.7, -3.4, 0.1, -0.11]
            self.assertEqual(mpc.run(mpc.output(list(map(secfxp, s)))), s)

            s = [10.5, -3.25, 0.125, -0.125]
            a, b, c, d = list(map(secfxp, s))
            t = [v * v for v in s]
            self.assertEqual(mpc.run(mpc.output([a * a, b * b, c * c, d * d])),
                             t)
            x = [a, b, c, d]
            self.assertEqual(mpc.run(mpc.output(mpc.schur_prod(x, x))), t)
            self.assertEqual(mpc.run(mpc.output(mpc.schur_prod(x, x[:]))), t)
            t = sum(t)
            self.assertEqual(mpc.run(mpc.output(mpc.in_prod(x, x))), t)
            self.assertEqual(mpc.run(mpc.output(mpc.in_prod(x, x[:]))), t)
            self.assertEqual(
                mpc.run(mpc.output(mpc.matrix_prod([x], [x], True)[0])), [t])
            t = [_ for a, b, c, d in [s] for _ in [a + b, a * b, a - b]]
            self.assertEqual(mpc.run(mpc.output([a + b, a * b, a - b])), t)
            t = [
                _ for a, b, c, d in [s]
                for _ in [(a + b)**2, (a + b)**2 + 3 * c]
            ]
            self.assertEqual(
                mpc.run(mpc.output([(a + b)**2, (a + b)**2 + 3 * c])), t)
            t = [int(_) for a, b, c, d in [s] for _ in [a < b, b < c, c < d]]
            self.assertEqual(mpc.run(mpc.output([a < b, b < c, c < d])), t)
            t = int(s[0] < s[1] and s[1] < s[2])
            self.assertEqual(mpc.run(mpc.output((a < b) & (b < c))), t)
            t = int(s[0] < s[1] or s[1] < s[2])
            self.assertEqual(mpc.run(mpc.output((a < b) | (b < c))), t)
            t = (int(s[0] < s[1]) ^ int(s[1] < s[2]))
            self.assertEqual(mpc.run(mpc.output((a < b) ^ (b < c))), t)
            t = (int(not s[0] < s[1]) ^ int(s[1] < s[2]))
            self.assertEqual(mpc.run(mpc.output(~(a < b) ^ b < c)), t)
            t = [int(s[0] > 1), int(10 * s[1] < 5), int(10 * s[0] == 5)]
            self.assertEqual(
                mpc.run(mpc.output([a > 1, 10 * b < 5, 10 * a == 5])), t)

            s[3] = -0.120
            d = secfxp(s[3])
            t = s[3] / 0.25
            self.assertAlmostEqual(mpc.run(mpc.output(d / 0.25)).signed(),
                                   t,
                                   delta=1)
            t = s[3] / s[2] + s[0]
            self.assertAlmostEqual(mpc.run(mpc.output(d / c + a)).signed(),
                                   t,
                                   delta=1)
            t = round(t * (1 << f))
            self.assertAlmostEqual(mpc.run(mpc.output(d / c + a)), t, delta=1)
            t = ((s[0] + s[1])**2 + 3 * s[2]) / s[2]
            self.assertAlmostEqual(mpc.run(mpc.output(
                ((a + b)**2 + 3 * c) / c)).signed(),
                                   t,
                                   delta=2)
            t = 1 / s[3]
            self.assertAlmostEqual((mpc.run(mpc.output(1 / d))).signed(),
                                   t,
                                   delta=1)
            t = s[2] / s[3]
            self.assertAlmostEqual(mpc.run(mpc.output(c / d)).signed(),
                                   t,
                                   delta=1)
            t = -s[3] / s[2]
            t = round(t * (1 << f))
            self.assertAlmostEqual(mpc.run(mpc.output(-d / c)), t, delta=1)
            t = s[2] / s[3]
            t = round(t * (1 << f))
            self.assertAlmostEqual(mpc.run(mpc.output(d / c)), t, delta=1)

            self.assertEqual(mpc.run(mpc.output(mpc.sgn(+a))), int(s[0] > 0))
            self.assertEqual(mpc.run(mpc.output(mpc.sgn(-a))), -int(s[0] > 0))
            self.assertEqual(mpc.run(mpc.output(mpc.sgn(secfxp(0)))), 0)
            self.assertEqual(mpc.run(mpc.output(abs(secfxp(-1.5)))), 1.5)

            self.assertEqual(mpc.run(mpc.output(mpc.min(a, b, c, d))), min(s))
            self.assertEqual(mpc.run(mpc.output(mpc.min(a, 0))), min(s[0], 0))
            self.assertEqual(mpc.run(mpc.output(mpc.min(0, b))), min(0, s[1]))
            self.assertEqual(mpc.run(mpc.output(mpc.max(a, b, c, d))), max(s))
            self.assertEqual(mpc.run(mpc.output(mpc.max(a, 0))), max(s[0], 0))
            self.assertEqual(mpc.run(mpc.output(mpc.max(0, b))), max(0, s[1]))
            self.assertEqual(
                mpc.run(mpc.output(list(mpc.min_max(a, b, c, d)))),
                [min(s), max(s)])

            self.assertEqual(mpc.run(mpc.output(secfxp(5) % 2)), 1)
            self.assertEqual(mpc.run(mpc.output(secfxp(1) % 2**(1 - f))), 0)
            self.assertEqual(mpc.run(mpc.output(secfxp(2**-f) % 2**(1 - f))),
                             2**-f)
            self.assertEqual(
                mpc.run(mpc.output(secfxp(2 * 2**-f) % 2**(1 - f))), 0)
            self.assertEqual(mpc.run(mpc.output(secfxp(1) // 2**(1 - f))),
                             2**(f - 1))
            self.assertEqual(mpc.run(mpc.output(secfxp(27.0) % 7.0)), 6.0)
            self.assertEqual(mpc.run(mpc.output(secfxp(-27.0) // 7.0)), -4.0)
            self.assertEqual(
                mpc.run(mpc.output(list(divmod(secfxp(27.0), 6.0)))),
                [4.0, 3.0])
            self.assertEqual(mpc.run(mpc.output(secfxp(21.5) % 7.5)), 6.5)
            self.assertEqual(mpc.run(mpc.output(secfxp(-21.5) // 7.5)), -3.0)
            self.assertEqual(
                mpc.run(mpc.output(list(divmod(secfxp(21.5), 0.5)))),
                [43.0, 0.0])