/* return e.this */
public ECP mul(BIG e)
{
if (e.iszilch() || is_infinity())
{
return(new ECP());
}
ECP P = new ECP();
if (ROM.CURVETYPE == ROM.MONTGOMERY)
{
/* use Ladder */
int nb, i, b;
ECP D = new ECP();
ECP R0 = new ECP();
R0.copy(this);
ECP R1 = new ECP();
R1.copy(this);
R1.dbl();
D.copy(this);
D.affine();
nb = e.nbits();
for (i = nb - 2; i >= 0; i--)
{
b = e.bit(i);
P.copy(R1);
P.dadd(R0, D);
R0.cswap(R1, b);
R1.copy(P);
R0.dbl();
R0.cswap(R1, b);
}
P.copy(R0);
}
else
{
// fixed size windows
int i, b, nb, m, s, ns;
BIG mt = new BIG();
BIG t = new BIG();
ECP Q = new ECP();
ECP C = new ECP();
ECP[] W = new ECP[8];
sbyte[] w = new sbyte[1 + (ROM.NLEN * ROM.BASEBITS + 3) / 4];
affine();
// precompute table
Q.copy(this);
Q.dbl();
W[0] = new ECP();
W[0].copy(this);
for (i = 1; i < 8; i++)
{
W[i] = new ECP();
W[i].copy(W[i - 1]);
W[i].add(Q);
}
// convert the table to affine
if (ROM.CURVETYPE == ROM.WEIERSTRASS)
{
multiaffine(8, W);
}
// make exponent odd - add 2P if even, P if odd
t.copy(e);
s = t.parity();
t.inc(1);
t.norm();
ns = t.parity();
mt.copy(t);
mt.inc(1);
mt.norm();
t.cmove(mt, s);
Q.cmove(this, ns);
C.copy(Q);
nb = 1 + (t.nbits() + 3) / 4;
// convert exponent to signed 4-bit window
for (i = 0; i < nb; i++)
{
w[i] = (sbyte)(t.lastbits(5) - 16);
t.dec(w[i]);
t.norm();
t.fshr(4);
}
w[nb] = (sbyte)t.lastbits(5);
P.copy(W[(w[nb] - 1) / 2]);
for (i = nb - 1; i >= 0; i--)
{
Q.select(W, w[i]);
P.dbl();
P.dbl();
P.dbl();
P.dbl();
P.add(Q);
}
P.sub(C); // apply correction
}
P.affine();
return(P);
}