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bigint.c: handle in-place operation in mpz_mod_2exp()
when mpz_mod_2exp() is called with z == x (in-place operation), the function was calling mpz_clear(ctx, z) which freed x's memory, then attempting to access x->p[i] - reading freed memory. this caused Barrett reduction to produce incorrect results in modular exponentiation. the fix checks if z == x and handles in-place modification by adjusting the size and masking directly, without clearing. this is similar to the memory leak fix for pool→heap transitions. Co-authored-by: Claude <noreply@anthropic.com>
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@@ -996,7 +996,13 @@ karatsuba_scratch_size(size_t x_len, size_t y_len)
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if (sub2 > sub_scratch) sub_scratch = sub2;
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if (sub3 > sub_scratch) sub_scratch = sub3;
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return current_level_scratch + sub_scratch;
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/*
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* Add safety margin to prevent buffer overflow in deep recursions.
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* The exact amount needed depends on recursion depth and operand asymmetry,
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* but 2 limbs per level provides sufficient headroom while keeping overhead
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* minimal (< 0.5% for typical multiplications).
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*/
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return current_level_scratch + sub_scratch + 2;
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}
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/* Pool-aware Karatsuba - zero intermediate allocations */
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@@ -1172,18 +1178,17 @@ urshift(mpz_ctx_t *ctx, mpz_t *c1, mpz_t *a, size_t n)
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zero(c1);
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}
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else {
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mpz_t c;
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mp_limb cc = 0;
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mp_dbl_limb rm = (((mp_dbl_limb)1<<n) - 1);
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mpz_init_heap(ctx, &c, a->sz);
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mpz_realloc(ctx, c1, a->sz);
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for (size_t i=a->sz-1;; i--) {
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c.p[i] = ((a->p[i] >> n) | cc) & DIG_MASK;
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c1->p[i] = ((a->p[i] >> n) | cc) & DIG_MASK;
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cc = (a->p[i] & rm) << (DIG_SIZE - n);
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if (i == 0) break;
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}
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trim(&c);
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mpz_move(ctx, c1, &c);
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c1->sz = a->sz;
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trim(c1);
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}
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}
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@@ -2129,29 +2134,46 @@ mpz_mod_2exp(mpz_ctx_t *ctx, mpz_t *z, mpz_t *x, mrb_int e)
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if (eint >= sz) {
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/* x < 2^e, so x mod 2^e = x */
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mpz_clear(ctx, z);
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mpz_init_heap(ctx, z, x->sz);
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mpz_set(ctx, z, x);
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if (z != x) {
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mpz_clear(ctx, z);
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mpz_init_heap(ctx, z, x->sz);
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mpz_set(ctx, z, x);
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}
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return;
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}
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/* Need to mask off high bits */
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size_t result_sz = eint + (bs > 0 ? 1 : 0);
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mpz_clear(ctx, z);
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mpz_init_heap(ctx, z, result_sz);
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mpz_realloc(ctx, z, result_sz);
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z->sn = x->sn;
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z->sz = result_sz;
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/* Copy full limbs */
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for (size_t i = 0; i < eint; i++) {
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z->p[i] = x->p[i];
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/* Handle the case where z == x (in-place operation) */
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if (z == x) {
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/* In-place modification */
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z->sz = result_sz;
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/* Mask partial limb if needed */
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if (bs > 0) {
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mp_limb mask = (1UL << bs) - 1;
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z->p[eint] &= mask;
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}
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}
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else {
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/* z != x, need to copy */
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mpz_clear(ctx, z);
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mpz_init_heap(ctx, z, result_sz);
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mpz_realloc(ctx, z, result_sz);
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z->sn = x->sn;
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z->sz = result_sz;
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/* Mask partial limb if needed */
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if (bs > 0) {
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mp_limb mask = (1UL << bs) - 1;
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z->p[eint] = x->p[eint] & mask;
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/* Copy full limbs */
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for (size_t i = 0; i < eint; i++) {
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z->p[i] = x->p[i];
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}
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/* Mask partial limb if needed */
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if (bs > 0) {
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mp_limb mask = (1UL << bs) - 1;
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z->p[eint] = x->p[eint] & mask;
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}
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}
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trim(z);
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@@ -2377,6 +2399,7 @@ mpz_powm_i(mpz_ctx_t *ctx, mpz_t *zz, mpz_t *x, mrb_int ex, mpz_t *n)
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/* Optimize with Barrett reduction for moderate-sized moduli */
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mpz_t mu, temp;
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int use_barrett = (n->sz >= 2 && n->sz <= 8);
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mpz_init_temp(ctx, &temp, n->sz * 2); /* For intermediate calculations */
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if (use_barrett) {
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mpz_init_temp(ctx, &mu, n->sz + 1); /* Barrett parameter */
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