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-rw-r--r--networking/tls_sp_c32.c178
1 files changed, 72 insertions, 106 deletions
diff --git a/networking/tls_sp_c32.c b/networking/tls_sp_c32.c
index 3291b553c..3452b08b9 100644
--- a/networking/tls_sp_c32.c
+++ b/networking/tls_sp_c32.c
@@ -49,9 +49,9 @@ typedef int32_t signed_sp_digit;
*/
typedef struct sp_point {
- sp_digit x[2 * 8];
- sp_digit y[2 * 8];
- sp_digit z[2 * 8];
+ sp_digit x[8];
+ sp_digit y[8];
+ sp_digit z[8];
int infinity;
} sp_point;
@@ -456,12 +456,11 @@ static void sp_256_sub_8_p256_mod(sp_digit* r)
#endif
/* Multiply a and b into r. (r = a * b)
- * r should be [16] array (512 bits).
+ * r should be [16] array (512 bits), and must not coincide with a or b.
*/
static void sp_256to512_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
#if ALLOW_ASM && defined(__GNUC__) && defined(__i386__)
- sp_digit rr[15]; /* in case r coincides with a or b */
int k;
uint32_t accl;
uint32_t acch;
@@ -493,16 +492,15 @@ static void sp_256to512_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b)
j--;
i++;
} while (i != 8 && i <= k);
- rr[k] = accl;
+ r[k] = accl;
accl = acch;
acch = acc_hi;
}
r[15] = accl;
- memcpy(r, rr, sizeof(rr));
#elif ALLOW_ASM && defined(__GNUC__) && defined(__x86_64__)
const uint64_t* aa = (const void*)a;
const uint64_t* bb = (const void*)b;
- uint64_t rr[8];
+ const uint64_t* rr = (const void*)r;
int k;
uint64_t accl;
uint64_t acch;
@@ -539,11 +537,8 @@ static void sp_256to512_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b)
acch = acc_hi;
}
rr[7] = accl;
- memcpy(r, rr, sizeof(rr));
#elif 0
//TODO: arm assembly (untested)
- sp_digit tmp[16];
-
asm volatile (
"\n mov r5, #0"
"\n mov r6, #0"
@@ -575,12 +570,10 @@ static void sp_256to512_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b)
"\n cmp r5, #56"
"\n ble 1b"
"\n str r6, [%[r], r5]"
- : [r] "r" (tmp), [a] "r" (a), [b] "r" (b)
+ : [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "r3", "r4", "r5", "r6", "r7", "r8", "r9", "r10", "r12", "r14"
);
- memcpy(r, tmp, sizeof(tmp));
#else
- sp_digit rr[15]; /* in case r coincides with a or b */
int i, j, k;
uint64_t acc;
@@ -600,11 +593,10 @@ static void sp_256to512_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b)
j--;
i++;
} while (i != 8 && i <= k);
- rr[k] = acc;
+ r[k] = acc;
acc = (acc >> 32) | ((uint64_t)acc_hi << 32);
}
r[15] = acc;
- memcpy(r, rr, sizeof(rr));
#endif
}
@@ -709,30 +701,11 @@ static void sp_256_mont_tpl_8(sp_digit* r, const sp_digit* a /*, const sp_digit*
}
/* Shift the result in the high 256 bits down to the bottom.
- * High half is cleared to zeros.
*/
-#if BB_UNALIGNED_MEMACCESS_OK && ULONG_MAX > 0xffffffff
-static void sp_512to256_mont_shift_8(sp_digit* rr)
+static void sp_512to256_mont_shift_8(sp_digit* r, sp_digit* a)
{
- uint64_t *r = (void*)rr;
- int i;
-
- for (i = 0; i < 4; i++) {
- r[i] = r[i+4];
- r[i+4] = 0;
- }
+ memcpy(r, a + 8, sizeof(*r) * 8);
}
-#else
-static void sp_512to256_mont_shift_8(sp_digit* r)
-{
- int i;
-
- for (i = 0; i < 8; i++) {
- r[i] = r[i+8];
- r[i+8] = 0;
- }
-}
-#endif
/* Mul a by scalar b and add into r. (r += a * b)
* a = p256_mod
@@ -868,11 +841,12 @@ static int sp_256_mul_add_8(sp_digit* r /*, const sp_digit* a, sp_digit b*/)
* Note: the result is NOT guaranteed to be less than p256_mod!
* (it is only guaranteed to fit into 256 bits).
*
- * a Double-wide number to reduce in place.
+ * r Result.
+ * a Double-wide number to reduce. Clobbered.
* m The single precision number representing the modulus.
* mp The digit representing the negative inverse of m mod 2^n.
*/
-static void sp_512to256_mont_reduce_8(sp_digit* a/*, const sp_digit* m, sp_digit mp*/)
+static void sp_512to256_mont_reduce_8(sp_digit* r, sp_digit* a/*, const sp_digit* m, sp_digit mp*/)
{
// const sp_digit* m = p256_mod;
sp_digit mp = p256_mp_mod;
@@ -895,10 +869,10 @@ static void sp_512to256_mont_reduce_8(sp_digit* a/*, const sp_digit* m, sp_digit
goto inc_next_word0;
}
}
- sp_512to256_mont_shift_8(a);
+ sp_512to256_mont_shift_8(r, a);
if (word16th != 0)
- sp_256_sub_8_p256_mod(a);
- sp_256_norm_8(a);
+ sp_256_sub_8_p256_mod(r);
+ sp_256_norm_8(r);
}
else { /* Same code for explicit mp == 1 (which is always the case for P256) */
sp_digit word16th = 0;
@@ -915,10 +889,10 @@ static void sp_512to256_mont_reduce_8(sp_digit* a/*, const sp_digit* m, sp_digit
goto inc_next_word;
}
}
- sp_512to256_mont_shift_8(a);
+ sp_512to256_mont_shift_8(r, a);
if (word16th != 0)
- sp_256_sub_8_p256_mod(a);
- sp_256_norm_8(a);
+ sp_256_sub_8_p256_mod(r);
+ sp_256_norm_8(r);
}
}
@@ -926,35 +900,34 @@ static void sp_512to256_mont_reduce_8(sp_digit* a/*, const sp_digit* m, sp_digit
* (r = a * b mod m)
*
* r Result of multiplication.
- * Should be [16] array (512 bits), but high half is cleared to zeros (used as scratch pad).
* a First number to multiply in Montogmery form.
* b Second number to multiply in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
-static void sp_256to512z_mont_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b
+static void sp_256_mont_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b
/*, const sp_digit* m, sp_digit mp*/)
{
//const sp_digit* m = p256_mod;
//sp_digit mp = p256_mp_mod;
- sp_256to512_mul_8(r, a, b);
- sp_512to256_mont_reduce_8(r /*, m, mp*/);
+ sp_digit t[2 * 8];
+ sp_256to512_mul_8(t, a, b);
+ sp_512to256_mont_reduce_8(r, t /*, m, mp*/);
}
/* Square the Montgomery form number. (r = a * a mod m)
*
* r Result of squaring.
- * Should be [16] array (512 bits), but high half is cleared to zeros (used as scratch pad).
* a Number to square in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
-static void sp_256to512z_mont_sqr_8(sp_digit* r, const sp_digit* a
+static void sp_256_mont_sqr_8(sp_digit* r, const sp_digit* a
/*, const sp_digit* m, sp_digit mp*/)
{
//const sp_digit* m = p256_mod;
//sp_digit mp = p256_mp_mod;
- sp_256to512z_mont_mul_8(r, a, a /*, m, mp*/);
+ sp_256_mont_mul_8(r, a, a /*, m, mp*/);
}
/* Invert the number, in Montgomery form, modulo the modulus (prime) of the
@@ -964,11 +937,8 @@ static void sp_256to512z_mont_sqr_8(sp_digit* r, const sp_digit* a
* a Number to invert.
*/
#if 0
-/* Mod-2 for the P256 curve. */
-static const uint32_t p256_mod_2[8] = {
- 0xfffffffd,0xffffffff,0xffffffff,0x00000000,
- 0x00000000,0x00000000,0x00000001,0xffffffff,
-};
+//p256_mod - 2:
+//ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff - 2
//Bit pattern:
//2 2 2 2 2 2 2 1...1
//5 5 4 3 2 1 0 9...0 9...1
@@ -977,15 +947,15 @@ static const uint32_t p256_mod_2[8] = {
#endif
static void sp_256_mont_inv_8(sp_digit* r, sp_digit* a)
{
- sp_digit t[2*8];
+ sp_digit t[8];
int i;
memcpy(t, a, sizeof(sp_digit) * 8);
for (i = 254; i >= 0; i--) {
- sp_256to512z_mont_sqr_8(t, t /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(t, t /*, p256_mod, p256_mp_mod*/);
/*if (p256_mod_2[i / 32] & ((sp_digit)1 << (i % 32)))*/
if (i >= 224 || i == 192 || (i <= 95 && i != 1))
- sp_256to512z_mont_mul_8(t, t, a /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t, t, a /*, p256_mod, p256_mp_mod*/);
}
memcpy(r, t, sizeof(sp_digit) * 8);
}
@@ -1056,25 +1026,28 @@ static void sp_256_mod_mul_norm_8(sp_digit* r, const sp_digit* a)
*/
static void sp_256_map_8(sp_point* r, sp_point* p)
{
- sp_digit t1[2*8];
- sp_digit t2[2*8];
+ sp_digit t1[8];
+ sp_digit t2[8];
+ sp_digit rr[2 * 8];
sp_256_mont_inv_8(t1, p->z);
- sp_256to512z_mont_sqr_8(t2, t1 /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(t1, t2, t1 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(t2, t1 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t1, t2, t1 /*, p256_mod, p256_mp_mod*/);
/* x /= z^2 */
- sp_256to512z_mont_mul_8(r->x, p->x, t2 /*, p256_mod, p256_mp_mod*/);
- sp_512to256_mont_reduce_8(r->x /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(rr, p->x, t2 /*, p256_mod, p256_mp_mod*/);
+ memset(rr + 8, 0, sizeof(rr) / 2);
+ sp_512to256_mont_reduce_8(r->x, rr /*, p256_mod, p256_mp_mod*/);
/* Reduce x to less than modulus */
if (sp_256_cmp_8(r->x, p256_mod) >= 0)
sp_256_sub_8_p256_mod(r->x);
sp_256_norm_8(r->x);
/* y /= z^3 */
- sp_256to512z_mont_mul_8(r->y, p->y, t1 /*, p256_mod, p256_mp_mod*/);
- sp_512to256_mont_reduce_8(r->y /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(rr, p->y, t1 /*, p256_mod, p256_mp_mod*/);
+ memset(rr + 8, 0, sizeof(rr) / 2);
+ sp_512to256_mont_reduce_8(r->y, rr /*, p256_mod, p256_mp_mod*/);
/* Reduce y to less than modulus */
if (sp_256_cmp_8(r->y, p256_mod) >= 0)
sp_256_sub_8_p256_mod(r->y);
@@ -1091,8 +1064,8 @@ static void sp_256_map_8(sp_point* r, sp_point* p)
*/
static void sp_256_proj_point_dbl_8(sp_point* r, sp_point* p)
{
- sp_digit t1[2*8];
- sp_digit t2[2*8];
+ sp_digit t1[8];
+ sp_digit t2[8];
/* Put point to double into result */
if (r != p)
@@ -1101,17 +1074,10 @@ static void sp_256_proj_point_dbl_8(sp_point* r, sp_point* p)
if (r->infinity)
return;
- if (SP_DEBUG) {
- /* unused part of t2, may result in spurios
- * differences in debug output. Clear it.
- */
- memset(t2, 0, sizeof(t2));
- }
-
/* T1 = Z * Z */
- sp_256to512z_mont_sqr_8(t1, r->z /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(t1, r->z /*, p256_mod, p256_mp_mod*/);
/* Z = Y * Z */
- sp_256to512z_mont_mul_8(r->z, r->y, r->z /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->z, r->y, r->z /*, p256_mod, p256_mp_mod*/);
/* Z = 2Z */
sp_256_mont_dbl_8(r->z, r->z /*, p256_mod*/);
/* T2 = X - T1 */
@@ -1119,21 +1085,21 @@ static void sp_256_proj_point_dbl_8(sp_point* r, sp_point* p)
/* T1 = X + T1 */
sp_256_mont_add_8(t1, r->x, t1 /*, p256_mod*/);
/* T2 = T1 * T2 */
- sp_256to512z_mont_mul_8(t2, t1, t2 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t2, t1, t2 /*, p256_mod, p256_mp_mod*/);
/* T1 = 3T2 */
sp_256_mont_tpl_8(t1, t2 /*, p256_mod*/);
/* Y = 2Y */
sp_256_mont_dbl_8(r->y, r->y /*, p256_mod*/);
/* Y = Y * Y */
- sp_256to512z_mont_sqr_8(r->y, r->y /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(r->y, r->y /*, p256_mod, p256_mp_mod*/);
/* T2 = Y * Y */
- sp_256to512z_mont_sqr_8(t2, r->y /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(t2, r->y /*, p256_mod, p256_mp_mod*/);
/* T2 = T2/2 */
sp_256_div2_8(t2 /*, p256_mod*/);
/* Y = Y * X */
- sp_256to512z_mont_mul_8(r->y, r->y, r->x /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->y, r->y, r->x /*, p256_mod, p256_mp_mod*/);
/* X = T1 * T1 */
- sp_256to512z_mont_mul_8(r->x, t1, t1 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->x, t1, t1 /*, p256_mod, p256_mp_mod*/);
/* X = X - Y */
sp_256_mont_sub_8(r->x, r->x, r->y /*, p256_mod*/);
/* X = X - Y */
@@ -1141,7 +1107,7 @@ static void sp_256_proj_point_dbl_8(sp_point* r, sp_point* p)
/* Y = Y - X */
sp_256_mont_sub_8(r->y, r->y, r->x /*, p256_mod*/);
/* Y = Y * T1 */
- sp_256to512z_mont_mul_8(r->y, r->y, t1 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->y, r->y, t1 /*, p256_mod, p256_mp_mod*/);
/* Y = Y - T2 */
sp_256_mont_sub_8(r->y, r->y, t2 /*, p256_mod*/);
dump_512("y2 %s\n", r->y);
@@ -1155,11 +1121,11 @@ static void sp_256_proj_point_dbl_8(sp_point* r, sp_point* p)
*/
static NOINLINE void sp_256_proj_point_add_8(sp_point* r, sp_point* p, sp_point* q)
{
- sp_digit t1[2*8];
- sp_digit t2[2*8];
- sp_digit t3[2*8];
- sp_digit t4[2*8];
- sp_digit t5[2*8];
+ sp_digit t1[8];
+ sp_digit t2[8];
+ sp_digit t3[8];
+ sp_digit t4[8];
+ sp_digit t5[8];
/* Ensure only the first point is the same as the result. */
if (q == r) {
@@ -1186,36 +1152,36 @@ static NOINLINE void sp_256_proj_point_add_8(sp_point* r, sp_point* p, sp_point*
}
/* U1 = X1*Z2^2 */
- sp_256to512z_mont_sqr_8(t1, q->z /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(t3, t1, q->z /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(t1, t1, r->x /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(t1, q->z /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t3, t1, q->z /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t1, t1, r->x /*, p256_mod, p256_mp_mod*/);
/* U2 = X2*Z1^2 */
- sp_256to512z_mont_sqr_8(t2, r->z /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(t4, t2, r->z /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(t2, t2, q->x /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(t2, r->z /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t4, t2, r->z /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t2, t2, q->x /*, p256_mod, p256_mp_mod*/);
/* S1 = Y1*Z2^3 */
- sp_256to512z_mont_mul_8(t3, t3, r->y /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t3, t3, r->y /*, p256_mod, p256_mp_mod*/);
/* S2 = Y2*Z1^3 */
- sp_256to512z_mont_mul_8(t4, t4, q->y /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t4, t4, q->y /*, p256_mod, p256_mp_mod*/);
/* H = U2 - U1 */
sp_256_mont_sub_8(t2, t2, t1 /*, p256_mod*/);
/* R = S2 - S1 */
sp_256_mont_sub_8(t4, t4, t3 /*, p256_mod*/);
/* Z3 = H*Z1*Z2 */
- sp_256to512z_mont_mul_8(r->z, r->z, q->z /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(r->z, r->z, t2 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->z, r->z, q->z /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->z, r->z, t2 /*, p256_mod, p256_mp_mod*/);
/* X3 = R^2 - H^3 - 2*U1*H^2 */
- sp_256to512z_mont_sqr_8(r->x, t4 /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_sqr_8(t5, t2 /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(r->y, t1, t5 /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(t5, t5, t2 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(r->x, t4 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_sqr_8(t5, t2 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->y, t1, t5 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t5, t5, t2 /*, p256_mod, p256_mp_mod*/);
sp_256_mont_sub_8(r->x, r->x, t5 /*, p256_mod*/);
sp_256_mont_dbl_8(t1, r->y /*, p256_mod*/);
sp_256_mont_sub_8(r->x, r->x, t1 /*, p256_mod*/);
/* Y3 = R*(U1*H^2 - X3) - S1*H^3 */
sp_256_mont_sub_8(r->y, r->y, r->x /*, p256_mod*/);
- sp_256to512z_mont_mul_8(r->y, r->y, t4 /*, p256_mod, p256_mp_mod*/);
- sp_256to512z_mont_mul_8(t5, t5, t3 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(r->y, r->y, t4 /*, p256_mod, p256_mp_mod*/);
+ sp_256_mont_mul_8(t5, t5, t3 /*, p256_mod, p256_mp_mod*/);
sp_256_mont_sub_8(r->y, r->y, t5 /*, p256_mod*/);
}
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