in otr/smp.go [322:442]
func (c *Conversation) processSMP2(mpis []*big.Int) (out tlv, err error) {
if len(mpis) != 11 {
err = errors.New("otr: incorrect number of arguments in SMP2 message")
return
}
g2b := mpis[0]
c2 := mpis[1]
d2 := mpis[2]
g3b := mpis[3]
c3 := mpis[4]
d3 := mpis[5]
pb := mpis[6]
qb := mpis[7]
cp := mpis[8]
d5 := mpis[9]
d6 := mpis[10]
h := sha256.New()
r := new(big.Int).Exp(g, d2, p)
s := new(big.Int).Exp(g2b, c2, p)
r.Mul(r, s)
r.Mod(r, p)
s.SetBytes(hashMPIs(h, 3, r))
if c2.Cmp(s) != 0 {
err = errors.New("otr: ZKP c2 failed in SMP2 message")
return
}
r.Exp(g, d3, p)
s.Exp(g3b, c3, p)
r.Mul(r, s)
r.Mod(r, p)
s.SetBytes(hashMPIs(h, 4, r))
if c3.Cmp(s) != 0 {
err = errors.New("otr: ZKP c3 failed in SMP2 message")
return
}
c.smp.g2 = new(big.Int).Exp(g2b, c.smp.a2, p)
c.smp.g3 = new(big.Int).Exp(g3b, c.smp.a3, p)
r.Exp(g, d5, p)
s.Exp(c.smp.g2, d6, p)
r.Mul(r, s)
s.Exp(qb, cp, p)
r.Mul(r, s)
r.Mod(r, p)
s.Exp(c.smp.g3, d5, p)
t := new(big.Int).Exp(pb, cp, p)
s.Mul(s, t)
s.Mod(s, p)
t.SetBytes(hashMPIs(h, 5, s, r))
if cp.Cmp(t) != 0 {
err = errors.New("otr: ZKP cP failed in SMP2 message")
return
}
var randBuf [16]byte
r4 := c.randMPI(randBuf[:])
r5 := c.randMPI(randBuf[:])
r6 := c.randMPI(randBuf[:])
r7 := c.randMPI(randBuf[:])
pa := new(big.Int).Exp(c.smp.g3, r4, p)
r.Exp(c.smp.g2, c.smp.secret, p)
qa := new(big.Int).Exp(g, r4, p)
qa.Mul(qa, r)
qa.Mod(qa, p)
r.Exp(g, r5, p)
s.Exp(c.smp.g2, r6, p)
r.Mul(r, s)
r.Mod(r, p)
s.Exp(c.smp.g3, r5, p)
cp.SetBytes(hashMPIs(h, 6, s, r))
r.Mul(r4, cp)
d5 = new(big.Int).Sub(r5, r)
d5.Mod(d5, q)
if d5.Sign() < 0 {
d5.Add(d5, q)
}
r.Mul(c.smp.secret, cp)
d6 = new(big.Int).Sub(r6, r)
d6.Mod(d6, q)
if d6.Sign() < 0 {
d6.Add(d6, q)
}
r.ModInverse(qb, p)
qaqb := new(big.Int).Mul(qa, r)
qaqb.Mod(qaqb, p)
ra := new(big.Int).Exp(qaqb, c.smp.a3, p)
r.Exp(qaqb, r7, p)
s.Exp(g, r7, p)
cr := new(big.Int).SetBytes(hashMPIs(h, 7, s, r))
r.Mul(c.smp.a3, cr)
d7 := new(big.Int).Sub(r7, r)
d7.Mod(d7, q)
if d7.Sign() < 0 {
d7.Add(d7, q)
}
c.smp.g3b = g3b
c.smp.qaqb = qaqb
r.ModInverse(pb, p)
c.smp.papb = new(big.Int).Mul(pa, r)
c.smp.papb.Mod(c.smp.papb, p)
c.smp.ra = ra
out.typ = tlvTypeSMP3
out.data = appendU32(out.data, 8)
out.data = appendMPIs(out.data, pa, qa, cp, d5, d6, ra, cr, d7)
return
}