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// 1 < m < 2^32, standard representation
// Assuming (cl_value_len > 32).
namespace cln {
static const _cl_MI fix32_plus (cl_heap_modint_ring* R, const _cl_MI& x, const _cl_MI& y)
{
var uint32 xr = FN_to_UV(x.rep);
var uint32 yr = FN_to_UV(y.rep);
var uint32 zr = xr + yr;
var uint32 m = FN_to_UV(R->modulus);
if ((zr < xr) || (zr >= m)) { zr = zr - m; }
return _cl_MI(R, L_to_FN(zr));
}
static const _cl_MI fix32_minus (cl_heap_modint_ring* R, const _cl_MI& x, const _cl_MI& y)
{
var uint32 xr = FN_to_UV(x.rep);
var uint32 yr = FN_to_UV(y.rep);
var sint32 zr = (xr >= yr ? xr - yr : xr - yr + FN_to_UV(R->modulus));
return _cl_MI(R, L_to_FN(zr));
}
static const _cl_MI fix32_uminus (cl_heap_modint_ring* R, const _cl_MI& x)
{
var uint32 xr = FN_to_UV(x.rep);
var uint32 zr = (xr==0 ? 0 : FN_to_UV(R->modulus)-xr);
return _cl_MI(R, L_to_FN(zr));
}
static const _cl_MI fix32_mul (cl_heap_modint_ring* R, const _cl_MI& x, const _cl_MI& y)
{
var uint32 xr = FN_to_UV(x.rep);
var uint32 yr = FN_to_UV(y.rep);
var uint32 zrhi;
var uint32 zrlo;
mulu32(xr,yr,zrhi=,zrlo=);
var uint32 zr;
divu_6432_3232(zrhi,zrlo,FN_to_UV(R->modulus),,zr=);
return _cl_MI(R, L_to_FN(zr));
}
static const _cl_MI fix32_square (cl_heap_modint_ring* R, const _cl_MI& x)
{
var uint32 xr = FN_to_UV(x.rep);
var uint32 zrhi;
var uint32 zrlo;
mulu32(xr,xr,zrhi=,zrlo=);
var uint32 zr;
divu_6432_3232(zrhi,zrlo,FN_to_UV(R->modulus),,zr=);
return _cl_MI(R, L_to_FN(zr));
}
static cl_modint_addops fix32_addops = {
std_zero,
std_zerop,
fix32_plus,
fix32_minus,
fix32_uminus
};
static cl_modint_mulops fix32_mulops = {
std_one,
std_canonhom,
fix32_mul,
fix32_square,
std_expt_pos,
std_recip,
std_div,
std_expt,
std_reduce_modulo,
std_retract
};
class cl_heap_modint_ring_fix32 : public cl_heap_modint_ring {
SUBCLASS_cl_heap_modint_ring()
public:
// Constructor.
cl_heap_modint_ring_fix32 (const cl_I& m);
// Destructor.
~cl_heap_modint_ring_fix32 () {}
};
static void cl_modint_ring_fix32_destructor (cl_heap* pointer)
{
(*(cl_heap_modint_ring_fix32*)pointer).~cl_heap_modint_ring_fix32();
}
cl_class cl_class_modint_ring_fix32 = {
cl_modint_ring_fix32_destructor,
cl_class_flags_modint_ring
};
// Constructor.
inline cl_heap_modint_ring_fix32::cl_heap_modint_ring_fix32(const cl_I& m)
: cl_heap_modint_ring (m, &std_setops, &fix32_addops, &fix32_mulops)
{
type = &cl_class_modint_ring_fix32;
}
} // namespace cln