tls: another P256 code shrink
Propagate constant arrays and scalars deeper down call chain. Use sp_256_mont_mul_10 to implement sp_256_mont_sqr_10. function old new delta sp_256_mont_mul_10 - 214 +214 sp_256_mont_reduce_10 - 178 +178 sp_256_mont_sqr_10 - 7 +7 static.sp_256_mont_reduce_10 178 - -178 static.sp_256_mont_mul_10 214 - -214 static.sp_256_mont_sqr_10 234 - -234 ------------------------------------------------------------------------------ (add/remove: 3/3 grow/shrink: 0/0 up/down: 399/-626) Total: -227 bytes Signed-off-by: Denys Vlasenko <vda.linux@googlemail.com>
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Denys Vlasenko
parent
e730505034
commit
389329efbe
@ -213,34 +213,7 @@ static void sp_256_mul_10(sp_digit* r, const sp_digit* a, const sp_digit* b)
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r[0] = (sp_digit)(c >> 26);
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}
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/* Square a and put result in r. (r = a * a) */
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static void sp_256_sqr_10(sp_digit* r, const sp_digit* a)
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{
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int i, j, k;
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int64_t c;
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c = ((int64_t)a[9]) * a[9];
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r[19] = (sp_digit)(c >> 26);
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c = (c & 0x3ffffff) << 26;
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for (k = 17; k >= 0; k--) {
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for (i = 9; i >= 0; i--) {
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j = k - i;
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if (j >= 10 || i <= j)
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break;
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if (j < 0)
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continue;
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c += ((int64_t)a[i]) * a[j] * 2;
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}
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if (i == j)
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c += ((int64_t)a[i]) * a[i];
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r[k + 2] += c >> 52;
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r[k + 1] = (c >> 26) & 0x3ffffff;
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c = (c & 0x3ffffff) << 26;
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}
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r[0] = (sp_digit)(c >> 26);
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}
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/* Shift number left one bit. Bottom bit is lost. */
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/* Shift number right one bit. Bottom bit is lost. */
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static void sp_256_rshift1_10(sp_digit* r, sp_digit* a)
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{
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int i;
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@ -343,8 +316,11 @@ static void sp_256_mul_add_10(sp_digit* r, const sp_digit* a, sp_digit b)
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* m The single precision number representing the modulus.
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* mp The digit representing the negative inverse of m mod 2^n.
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*/
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static void sp_256_mont_reduce_10(sp_digit* a, const sp_digit* m, sp_digit mp)
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static void sp_256_mont_reduce_10(sp_digit* a /*, const sp_digit* m, sp_digit mp*/)
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{
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const sp_digit* m = p256_mod;
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sp_digit mp = p256_mp_mod;
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int i;
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sp_digit mu;
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@ -359,7 +335,7 @@ static void sp_256_mont_reduce_10(sp_digit* a, const sp_digit* m, sp_digit mp)
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a[i+1] += a[i] >> 26;
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a[i] &= 0x3ffffff;
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}
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else {
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else { /* Same code for explicit mp == 1 (which is always the case for P256) */
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for (i = 0; i < 9; i++) {
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mu = a[i] & 0x3ffffff;
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sp_256_mul_add_10(a+i, m, mu);
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@ -372,8 +348,12 @@ static void sp_256_mont_reduce_10(sp_digit* a, const sp_digit* m, sp_digit mp)
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}
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sp_256_mont_shift_10(a, a);
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//TODO: can below condition ever be true? Doesn't it require 512+th bit(s) in a to be set?
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if ((a[9] >> 22) > 0)
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{
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dbg("THIS HAPPENS\n");
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sp_256_sub_10(a, a, m);
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}
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sp_256_norm_10(a);
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}
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@ -386,11 +366,14 @@ static void sp_256_mont_reduce_10(sp_digit* a, const sp_digit* m, sp_digit mp)
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* m Modulus (prime).
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* mp Montogmery mulitplier.
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*/
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static void sp_256_mont_mul_10(sp_digit* r, const sp_digit* a, const sp_digit* b,
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const sp_digit* m, sp_digit mp)
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static void sp_256_mont_mul_10(sp_digit* r, const sp_digit* a, const sp_digit* b
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/*, const sp_digit* m, sp_digit mp*/)
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{
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//const sp_digit* m = p256_mod;
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//sp_digit mp = p256_mp_mod;
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sp_256_mul_10(r, a, b);
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sp_256_mont_reduce_10(r, m, mp);
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sp_256_mont_reduce_10(r /*, m, mp*/);
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}
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/* Square the Montgomery form number. (r = a * a mod m)
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@ -400,11 +383,13 @@ static void sp_256_mont_mul_10(sp_digit* r, const sp_digit* a, const sp_digit* b
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* m Modulus (prime).
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* mp Montogmery mulitplier.
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*/
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static void sp_256_mont_sqr_10(sp_digit* r, const sp_digit* a, const sp_digit* m,
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sp_digit mp)
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static void sp_256_mont_sqr_10(sp_digit* r, const sp_digit* a
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/*, const sp_digit* m, sp_digit mp*/)
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{
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sp_256_sqr_10(r, a);
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sp_256_mont_reduce_10(r, m, mp);
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//const sp_digit* m = p256_mod;
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//sp_digit mp = p256_mp_mod;
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sp_256_mont_mul_10(r, a, a /*, m, mp*/);
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}
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/* Invert the number, in Montgomery form, modulo the modulus (prime) of the
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@ -432,10 +417,10 @@ static void sp_256_mont_inv_10(sp_digit* r, sp_digit* a)
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memcpy(t, a, sizeof(sp_digit) * 10);
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for (i = 254; i >= 0; i--) {
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sp_256_mont_sqr_10(t, t, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(t, t /*, p256_mod, p256_mp_mod*/);
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/*if (p256_mod_2[i / 32] & ((sp_digit)1 << (i % 32)))*/
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if (i >= 224 || i == 192 || (i <= 95 && i != 1))
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sp_256_mont_mul_10(t, t, a, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t, t, a /*, p256_mod, p256_mp_mod*/);
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}
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memcpy(r, t, sizeof(sp_digit) * 10);
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}
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@ -577,22 +562,22 @@ static void sp_256_map_10(sp_point* r, sp_point* p)
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sp_256_mont_inv_10(t1, p->z);
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sp_256_mont_sqr_10(t2, t1, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t1, t2, t1, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(t2, t1 /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(t1, t2, t1 /*, p256_mod, p256_mp_mod*/);
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/* x /= z^2 */
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sp_256_mont_mul_10(r->x, p->x, t2, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(r->x, p->x, t2 /*, p256_mod, p256_mp_mod*/);
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memset(r->x + 10, 0, sizeof(r->x) / 2);
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sp_256_mont_reduce_10(r->x, p256_mod, p256_mp_mod);
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sp_256_mont_reduce_10(r->x /*, p256_mod, p256_mp_mod*/);
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/* Reduce x to less than modulus */
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if (sp_256_cmp_10(r->x, p256_mod) >= 0)
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sp_256_sub_10(r->x, r->x, p256_mod);
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sp_256_norm_10(r->x);
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/* y /= z^3 */
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sp_256_mont_mul_10(r->y, p->y, t1, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(r->y, p->y, t1 /*, p256_mod, p256_mp_mod*/);
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memset(r->y + 10, 0, sizeof(r->y) / 2);
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sp_256_mont_reduce_10(r->y, p256_mod, p256_mp_mod);
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sp_256_mont_reduce_10(r->y /*, p256_mod, p256_mp_mod*/);
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/* Reduce y to less than modulus */
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if (sp_256_cmp_10(r->y, p256_mod) >= 0)
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sp_256_sub_10(r->y, r->y, p256_mod);
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@ -620,9 +605,9 @@ static void sp_256_proj_point_dbl_10(sp_point* r, sp_point* p)
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return;
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/* T1 = Z * Z */
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sp_256_mont_sqr_10(t1, r->z, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(t1, r->z /*, p256_mod, p256_mp_mod*/);
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/* Z = Y * Z */
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sp_256_mont_mul_10(r->z, r->y, r->z, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(r->z, r->y, r->z /*, p256_mod, p256_mp_mod*/);
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/* Z = 2Z */
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sp_256_mont_dbl_10(r->z, r->z, p256_mod);
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/* T2 = X - T1 */
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@ -630,21 +615,21 @@ static void sp_256_proj_point_dbl_10(sp_point* r, sp_point* p)
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/* T1 = X + T1 */
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sp_256_mont_add_10(t1, r->x, t1, p256_mod);
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/* T2 = T1 * T2 */
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sp_256_mont_mul_10(t2, t1, t2, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t2, t1, t2 /*, p256_mod, p256_mp_mod*/);
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/* T1 = 3T2 */
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sp_256_mont_tpl_10(t1, t2, p256_mod);
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/* Y = 2Y */
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sp_256_mont_dbl_10(r->y, r->y, p256_mod);
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/* Y = Y * Y */
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sp_256_mont_sqr_10(r->y, r->y, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(r->y, r->y /*, p256_mod, p256_mp_mod*/);
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/* T2 = Y * Y */
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sp_256_mont_sqr_10(t2, r->y, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(t2, r->y /*, p256_mod, p256_mp_mod*/);
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/* T2 = T2/2 */
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sp_256_div2_10(t2, t2, p256_mod);
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/* Y = Y * X */
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sp_256_mont_mul_10(r->y, r->y, r->x, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(r->y, r->y, r->x /*, p256_mod, p256_mp_mod*/);
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/* X = T1 * T1 */
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sp_256_mont_mul_10(r->x, t1, t1, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(r->x, t1, t1 /*, p256_mod, p256_mp_mod*/);
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/* X = X - Y */
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sp_256_mont_sub_10(r->x, r->x, r->y, p256_mod);
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/* X = X - Y */
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@ -652,7 +637,7 @@ static void sp_256_proj_point_dbl_10(sp_point* r, sp_point* p)
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/* Y = Y - X */
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sp_256_mont_sub_10(r->y, r->y, r->x, p256_mod);
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/* Y = Y * T1 */
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sp_256_mont_mul_10(r->y, r->y, t1, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(r->y, r->y, t1 /*, p256_mod, p256_mp_mod*/);
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/* Y = Y - T2 */
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sp_256_mont_sub_10(r->y, r->y, t2, p256_mod);
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}
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@ -700,36 +685,36 @@ static void sp_256_proj_point_add_10(sp_point* r, sp_point* p, sp_point* q)
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*r = p->infinity ? *q : *p; /* struct copy */
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/* U1 = X1*Z2^2 */
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sp_256_mont_sqr_10(t1, q->z, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t3, t1, q->z, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t1, t1, v->x, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(t1, q->z /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(t3, t1, q->z /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(t1, t1, v->x /*, p256_mod, p256_mp_mod*/);
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/* U2 = X2*Z1^2 */
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sp_256_mont_sqr_10(t2, v->z, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t4, t2, v->z, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t2, t2, q->x, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(t2, v->z /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(t4, t2, v->z /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(t2, t2, q->x /*, p256_mod, p256_mp_mod*/);
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/* S1 = Y1*Z2^3 */
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sp_256_mont_mul_10(t3, t3, v->y, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t3, t3, v->y /*, p256_mod, p256_mp_mod*/);
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/* S2 = Y2*Z1^3 */
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sp_256_mont_mul_10(t4, t4, q->y, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t4, t4, q->y /*, p256_mod, p256_mp_mod*/);
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/* H = U2 - U1 */
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sp_256_mont_sub_10(t2, t2, t1, p256_mod);
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/* R = S2 - S1 */
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sp_256_mont_sub_10(t4, t4, t3, p256_mod);
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/* Z3 = H*Z1*Z2 */
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sp_256_mont_mul_10(v->z, v->z, q->z, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(v->z, v->z, t2, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(v->z, v->z, q->z /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(v->z, v->z, t2 /*, p256_mod, p256_mp_mod*/);
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/* X3 = R^2 - H^3 - 2*U1*H^2 */
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sp_256_mont_sqr_10(v->x, t4, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(t5, t2, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(v->y, t1, t5, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t5, t5, t2, p256_mod, p256_mp_mod);
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sp_256_mont_sqr_10(v->x, t4 /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_sqr_10(t5, t2 /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(v->y, t1, t5 /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(t5, t5, t2 /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_sub_10(v->x, v->x, t5, p256_mod);
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sp_256_mont_dbl_10(t1, v->y, p256_mod);
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sp_256_mont_sub_10(v->x, v->x, t1, p256_mod);
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/* Y3 = R*(U1*H^2 - X3) - S1*H^3 */
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sp_256_mont_sub_10(v->y, v->y, v->x, p256_mod);
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sp_256_mont_mul_10(v->y, v->y, t4, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(t5, t5, t3, p256_mod, p256_mp_mod);
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sp_256_mont_mul_10(v->y, v->y, t4 /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_mul_10(t5, t5, t3 /*, p256_mod, p256_mp_mod*/);
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sp_256_mont_sub_10(v->y, v->y, t5, p256_mod);
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}
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}
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