ct: Be cautious and use volatile trick in more "conditional" paths
- secp256k1_scalar_cadd_bit - secp256k1_modinvXX_normalize_YY - secp256k1_modinvXX_divsteps_ZZ - ECMULT_CONST_TABLE_GET_GE Even though those code loations are not problematic right now (with current compilers).
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@@ -64,7 +64,7 @@ static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int3
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const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
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int32_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4],
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r5 = r->v[5], r6 = r->v[6], r7 = r->v[7], r8 = r->v[8];
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int32_t cond_add, cond_negate;
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volatile int32_t cond_add, cond_negate;
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#ifdef VERIFY
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/* Verify that all limbs are in range (-2^30,2^30). */
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@@ -186,7 +186,8 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_
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* being inside [-2^31,2^31) means that casting to signed works correctly.
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*/
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uint32_t u = 1, v = 0, q = 0, r = 1;
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uint32_t c1, c2, f = f0, g = g0, x, y, z;
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volatile uint32_t c1, c2;
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uint32_t mask1, mask2, f = f0, g = g0, x, y, z;
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int i;
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for (i = 0; i < 30; ++i) {
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@@ -195,23 +196,25 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_
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VERIFY_CHECK((q * f0 + r * g0) == g << i);
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/* Compute conditional masks for (zeta < 0) and for (g & 1). */
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c1 = zeta >> 31;
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c2 = -(g & 1);
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mask1 = c1;
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c2 = g & 1;
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mask2 = -c2;
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/* Compute x,y,z, conditionally negated versions of f,u,v. */
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x = (f ^ c1) - c1;
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y = (u ^ c1) - c1;
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z = (v ^ c1) - c1;
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x = (f ^ mask1) - mask1;
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y = (u ^ mask1) - mask1;
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z = (v ^ mask1) - mask1;
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/* Conditionally add x,y,z to g,q,r. */
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g += x & c2;
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q += y & c2;
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r += z & c2;
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/* In what follows, c1 is a condition mask for (zeta < 0) and (g & 1). */
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c1 &= c2;
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g += x & mask2;
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q += y & mask2;
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r += z & mask2;
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/* In what follows, mask1 is a condition mask for (zeta < 0) and (g & 1). */
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mask1 &= mask2;
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/* Conditionally change zeta into -zeta-2 or zeta-1. */
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zeta = (zeta ^ c1) - 1;
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zeta = (zeta ^ mask1) - 1;
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/* Conditionally add g,q,r to f,u,v. */
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f += g & c1;
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u += q & c1;
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v += r & c1;
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f += g & mask1;
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u += q & mask1;
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v += r & mask1;
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/* Shifts */
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g >>= 1;
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u <<= 1;
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