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#include <NTL/vec_lzz_p.h>
NTL_START_IMPL
// NOTE: the signature for this is in lzz_p.h
void conv(vec_zz_p& x, const vec_ZZ& a)
{
long i, n;
n = a.length();
x.SetLength(n);
VectorConv(n, x.elts(), a.elts());
}
// NOTE: the signature for this is in lzz_p.h
void conv(vec_zz_p& x, const Vec<long>& a)
{
long i, n;
n = a.length();
x.SetLength(n);
VectorConv(n, x.elts(), a.elts());
}
void InnerProduct(zz_p& x, const vec_zz_p& a, const vec_zz_p& b)
{
long n = min(a.length(), b.length());
long i;
long accum, t;
long p = zz_p::modulus();
mulmod_t pinv = zz_p::ModulusInverse();
const zz_p *ap = a.elts();
const zz_p *bp = b.elts();
accum = 0;
for (i = 0; i < n; i++) {
t = MulMod(rep(ap[i]), rep(bp[i]), p, pinv);
accum = AddMod(accum, t, p);
}
x.LoopHole() = accum;
}
void InnerProduct(zz_p& x, const vec_zz_p& a, const vec_zz_p& b,
long offset)
{
if (offset < 0) LogicError("InnerProduct: negative offset");
if (NTL_OVERFLOW(offset, 1, 0)) ResourceError("InnerProduct: offset too big");
long n = min(a.length(), b.length()+offset);
long i;
long accum, t;
long p = zz_p::modulus();
mulmod_t pinv = zz_p::ModulusInverse();
const zz_p *ap = a.elts();
const zz_p *bp = b.elts();
accum = 0;
for (i = offset; i < n; i++) {
t = MulMod(rep(ap[i]), rep(bp[i-offset]), p, pinv);
accum = AddMod(accum, t, p);
}
x.LoopHole() = accum;
}
long CRT(vec_ZZ& gg, ZZ& a, const vec_zz_p& G)
{
long n = gg.length();
if (G.length() != n) LogicError("CRT: vector length mismatch");
long p = zz_p::modulus();
ZZ new_a;
mul(new_a, a, p);
long a_inv;
a_inv = rem(a, p);
a_inv = InvMod(a_inv, p);
long p1;
p1 = p >> 1;
ZZ a1;
RightShift(a1, a, 1);
long p_odd = (p & 1);
long modified = 0;
long h;
ZZ g;
long i;
for (i = 0; i < n; i++) {
if (!CRTInRange(gg[i], a)) {
modified = 1;
rem(g, gg[i], a);
if (g > a1) sub(g, g, a);
}
else
g = gg[i];
h = rem(g, p);
h = SubMod(rep(G[i]), h, p);
h = MulMod(h, a_inv, p);
if (h > p1)
h = h - p;
if (h != 0) {
modified = 1;
if (!p_odd && g > 0 && (h == p1))
MulSubFrom(g, a, h);
else
MulAddTo(g, a, h);
}
gg[i] = g;
}
a = new_a;
return modified;
}
void mul(vec_zz_p& x, const vec_zz_p& a, zz_p b)
{
long n = a.length();
x.SetLength(n);
long i;
if (n <= 1) {
for (i = 0; i < n; i++)
mul(x[i], a[i], b);
}
else {
long p = zz_p::modulus();
mulmod_t pinv = zz_p::ModulusInverse();
long bb = rep(b);
mulmod_precon_t bpinv = PrepMulModPrecon(bb, p, pinv);
const zz_p *ap = a.elts();
zz_p *xp = x.elts();
for (i = 0; i < n; i++)
xp[i].LoopHole() = MulModPrecon(rep(ap[i]), bb, p, bpinv);
}
}
void mul(vec_zz_p& x, const vec_zz_p& a, long b_in)
{
zz_p b;
b = b_in;
mul(x, a, b);
}
void add(vec_zz_p& x, const vec_zz_p& a, const vec_zz_p& b)
{
long n = a.length();
if (b.length() != n) LogicError("vector add: dimension mismatch");
long p = zz_p::modulus();
x.SetLength(n);
const zz_p *ap = a.elts();
const zz_p *bp = b.elts();
zz_p *xp = x.elts();
long i;
for (i = 0; i < n; i++)
xp[i].LoopHole() = AddMod(rep(ap[i]), rep(bp[i]), p);
}
void sub(vec_zz_p& x, const vec_zz_p& a, const vec_zz_p& b)
{
long n = a.length();
if (b.length() != n) LogicError("vector sub: dimension mismatch");
long p = zz_p::modulus();
x.SetLength(n);
const zz_p *ap = a.elts();
const zz_p *bp = b.elts();
zz_p *xp = x.elts();
long i;
for (i = 0; i < n; i++)
xp[i].LoopHole() = SubMod(rep(ap[i]), rep(bp[i]), p);
}
void clear(vec_zz_p& x)
{
long n = x.length();
zz_p *xp = x.elts();
long i;
for (i = 0; i < n; i++)
clear(xp[i]);
}
void negate(vec_zz_p& x, const vec_zz_p& a)
{
long n = a.length();
long p = zz_p::modulus();
x.SetLength(n);
const zz_p *ap = a.elts();
zz_p *xp = x.elts();
long i;
for (i = 0; i < n; i++)
xp[i].LoopHole() = NegateMod(rep(ap[i]), p);
}
long IsZero(const vec_zz_p& a)
{
long n = a.length();
const zz_p *ap = a.elts();
long i;
for (i = 0; i < n; i++)
if (!IsZero(ap[i]))
return 0;
return 1;
}
vec_zz_p operator+(const vec_zz_p& a, const vec_zz_p& b)
{
vec_zz_p res;
add(res, a, b);
NTL_OPT_RETURN(vec_zz_p, res);
}
vec_zz_p operator-(const vec_zz_p& a, const vec_zz_p& b)
{
vec_zz_p res;
sub(res, a, b);
NTL_OPT_RETURN(vec_zz_p, res);
}
vec_zz_p operator-(const vec_zz_p& a)
{
vec_zz_p res;
negate(res, a);
NTL_OPT_RETURN(vec_zz_p, res);
}
zz_p operator*(const vec_zz_p& a, const vec_zz_p& b)
{
zz_p res;
InnerProduct(res, a, b);
return res;
}
void VectorCopy(vec_zz_p& x, const vec_zz_p& a, long n)
{
if (n < 0) LogicError("VectorCopy: negative length");
if (NTL_OVERFLOW(n, 1, 0)) ResourceError("overflow in VectorCopy");
long m = min(n, a.length());
x.SetLength(n);
const zz_p *ap = a.elts();
zz_p *xp = x.elts();
long i;
for (i = 0; i < m; i++)
xp[i] = ap[i];
for (i = m; i < n; i++)
clear(xp[i]);
}
void random(vec_zz_p& x, long n)
{
x.SetLength(n);
VectorRandom(n, x.elts());
}
NTL_END_IMPL
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