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sm9: add comment for mulLine

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emmansun 2023-05-02 14:04:00 +08:00
parent 0cf7d640c5
commit 12d604b54f
1 changed files with 3 additions and 3 deletions
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6
sm9/bn256/bn_pair.go
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@ -6,8 +6,7 @@ func lineFunctionAdd(r, p *twistPoint, q *curvePoint, r2 *gfP2) (a, b, c *gfP2,
// Tate Pairing", http://arxiv.org/pdf/0904.0854v3.pdf
B := (&gfP2{}).Mul(&p.x, &r.t) // B = Xp * Zr^2
D := (&gfP2{}).Mul(&r.z, &r.x)
D = (&gfP2{}).Add(&p.y, &r.z) // D = Yp + Zr
D := (&gfP2{}).Add(&p.y, &r.z) // D = Yp + Zr
D.Square(D).Sub(D, r2).Sub(D, &r.t).Mul(D, &r.t) // D = ((Yp + Zr)^2 - Zr^2 - Yp^2)*Zr^2 = 2Yp*Zr^3
H := (&gfP2{}).Sub(B, &r.x) // H = Xp * Zr^2 - Xr
@ -93,6 +92,7 @@ func lineFunctionDouble(r *twistPoint, q *curvePoint) (a, b, c *gfP2, rOut *twis
return
}
// (ret.z + ret.y*w + ret.x*w^2)* ((cv+a) + b*w^2)
func mulLine(ret *gfP12, a, b, c *gfP2) {
t1, tz, t, bz := &gfP4{}, &gfP4{}, &gfP4{}, &gfP4{}
bz.x.Set(c)
@ -106,8 +106,8 @@ func mulLine(ret *gfP12, a, b, c *gfP2) {
t.MulScalar(&ret.x, b).MulV1(t)
ret.y.Add(t1, t)
t1.MulScalar(&ret.z, b)
t.Mul(&ret.x, bz)
t1.MulScalar(&ret.z, b)
ret.x.Add(t1, t)
ret.z.Set(tz)