*/
#include "field.h"
-static const gf MODULUS =
- { FIELD_LITERAL(0xffffffffffffff, 0xffffffffffffff, 0xffffffffffffff,
- 0xffffffffffffff, 0xfffffffffffffe, 0xffffffffffffff,
- 0xffffffffffffff, 0xffffffffffffff)
+static const gf MODULUS = {
+ FIELD_LITERAL(0xffffffffffffff, 0xffffffffffffff, 0xffffffffffffff,
+ 0xffffffffffffff, 0xfffffffffffffe, 0xffffffffffffff,
+ 0xffffffffffffff, 0xffffffffffffff)
};
-/** Serialize to wire format. */
+/* Serialize to wire format. */
void gf_serialize(uint8_t serial[SER_BYTES], const gf x, int with_hibit)
{
unsigned int j = 0, fill = 0;
dword_t buffer = 0;
- unsigned int i;
+ int i;
gf red;
gf_copy(red, x);
gf_strong_reduce(red);
- if (!with_hibit) {
+ if (!with_hibit)
assert(gf_hibit(red) == 0);
- }
UNROLL for (i = 0; i < (with_hibit ? X_SER_BYTES : SER_BYTES); i++) {
if (fill < 8 && j < NLIMBS) {
fill += LIMB_PLACE_VALUE(LIMBPERM(j));
j++;
}
- serial[i] = buffer;
+ serial[i] = (uint8_t)buffer;
fill -= 8;
buffer >>= 8;
}
}
-/** Return high bit of x = low bit of 2x mod p */
+/* Return high bit of x = low bit of 2x mod p */
mask_t gf_hibit(const gf x)
{
gf y;
gf_add(y, x, x);
gf_strong_reduce(y);
- return -(y->limb[0] & 1);
+ return 0 - (y->limb[0] & 1);
}
-/** Return high bit of x = low bit of 2x mod p */
+/* Return high bit of x = low bit of 2x mod p */
mask_t gf_lobit(const gf x)
{
gf y;
gf_copy(y, x);
gf_strong_reduce(y);
- return -(y->limb[0] & 1);
+ return 0 - (y->limb[0] & 1);
}
-/** Deserialize from wire format; return -1 on success and 0 on failure. */
+/* Deserialize from wire format; return -1 on success and 0 on failure. */
mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
uint8_t hi_nmask)
{
fill += 8;
j++;
}
- x->limb[LIMBPERM(i)] =
- (i < NLIMBS - 1) ? buffer & LIMB_MASK(LIMBPERM(i)) : buffer;
+ x->limb[LIMBPERM(i)] = (word_t)
+ ((i < NLIMBS - 1) ? buffer & LIMB_MASK(LIMBPERM(i)) : buffer);
fill -= LIMB_PLACE_VALUE(LIMBPERM(i));
buffer >>= LIMB_PLACE_VALUE(LIMBPERM(i));
scarry =
(scarry + x->limb[LIMBPERM(i)] -
MODULUS->limb[LIMBPERM(i)]) >> (8 * sizeof(word_t));
}
- succ = with_hibit ? -(mask_t) 1 : ~gf_hibit(x);
- return succ & word_is_zero(buffer) & ~word_is_zero(scarry);
+ succ = with_hibit ? 0 - (mask_t) 1 : ~gf_hibit(x);
+ return succ & word_is_zero((word_t)buffer) & ~word_is_zero((word_t)scarry);
}
-/** Reduce to canonical form. */
+/* Reduce to canonical form. */
void gf_strong_reduce(gf a)
{
dsword_t scarry;
*/
assert(word_is_zero(scarry) | word_is_zero(scarry + 1));
- scarry_0 = scarry;
+ scarry_0 = (word_t)scarry;
/* add it back */
for (i = 0; i < NLIMBS; i++) {
assert(word_is_zero(carry + scarry_0));
}
-/** Subtract two gf elements d=a-b */
+/* Subtract two gf elements d=a-b */
void gf_sub(gf d, const gf a, const gf b)
{
gf_sub_RAW(d, a, b);
gf_weak_reduce(d);
}
-/** Add two field elements d = a+b */
+/* Add two field elements d = a+b */
void gf_add(gf d, const gf a, const gf b)
{
gf_add_RAW(d, a, b);
gf_weak_reduce(d);
}
-/** Compare a==b */
+/* Compare a==b */
mask_t gf_eq(const gf a, const gf b)
{
gf c;
return word_is_zero(ret);
}
+
+mask_t gf_isr(gf a, const gf x)
+{
+ gf L0, L1, L2;
+ gf_sqr(L1, x);
+ gf_mul(L2, x, L1);
+ gf_sqr(L1, L2);
+ gf_mul(L2, x, L1);
+ gf_sqrn(L1, L2, 3);
+ gf_mul(L0, L2, L1);
+ gf_sqrn(L1, L0, 3);
+ gf_mul(L0, L2, L1);
+ gf_sqrn(L2, L0, 9);
+ gf_mul(L1, L0, L2);
+ gf_sqr(L0, L1);
+ gf_mul(L2, x, L0);
+ gf_sqrn(L0, L2, 18);
+ gf_mul(L2, L1, L0);
+ gf_sqrn(L0, L2, 37);
+ gf_mul(L1, L2, L0);
+ gf_sqrn(L0, L1, 37);
+ gf_mul(L1, L2, L0);
+ gf_sqrn(L0, L1, 111);
+ gf_mul(L2, L1, L0);
+ gf_sqr(L0, L2);
+ gf_mul(L1, x, L0);
+ gf_sqrn(L0, L1, 223);
+ gf_mul(L1, L2, L0);
+ gf_sqr(L2, L1);
+ gf_mul(L0, L2, x);
+ gf_copy(a, L1);
+ return gf_eq(L0, ONE);
+}