py/mpz: Fix bugs with bitwise of -0 by ensuring all 0's are positive.
This commit makes sure that the value zero is always encoded in an mpz_t as neg=0 and len=0 (previously it was just len=0). This invariant is needed for some of the bitwise operations that operate on negative numbers, because they cannot handle -0. For example (-((1<<100)-(1<<100)))|1 was being computed as -65535, instead of 1. Fixes issue #8042. Signed-off-by: Damien George <damien@micropython.org>
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19
py/mpz.c
19
py/mpz.c
@@ -713,6 +713,7 @@ void mpz_set(mpz_t *dest, const mpz_t *src) {
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void mpz_set_from_int(mpz_t *z, mp_int_t val) {
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if (val == 0) {
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z->neg = 0;
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z->len = 0;
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return;
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}
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@@ -899,10 +900,6 @@ bool mpz_is_even(const mpz_t *z) {
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#endif
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int mpz_cmp(const mpz_t *z1, const mpz_t *z2) {
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// to catch comparison of -0 with +0
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if (z1->len == 0 && z2->len == 0) {
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return 0;
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}
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int cmp = (int)z2->neg - (int)z1->neg;
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if (cmp != 0) {
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return cmp;
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@@ -1052,7 +1049,9 @@ void mpz_neg_inpl(mpz_t *dest, const mpz_t *z) {
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if (dest != z) {
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mpz_set(dest, z);
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}
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dest->neg = 1 - dest->neg;
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if (dest->len) {
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dest->neg = 1 - dest->neg;
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}
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}
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/* computes dest = ~z (= -z - 1)
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@@ -1148,7 +1147,7 @@ void mpz_add_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs) {
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dest->len = mpn_sub(dest->dig, lhs->dig, lhs->len, rhs->dig, rhs->len);
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}
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dest->neg = lhs->neg;
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dest->neg = lhs->neg & !!dest->len;
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}
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/* computes dest = lhs - rhs
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@@ -1172,7 +1171,9 @@ void mpz_sub_inpl(mpz_t *dest, const mpz_t *lhs, const mpz_t *rhs) {
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dest->len = mpn_sub(dest->dig, lhs->dig, lhs->len, rhs->dig, rhs->len);
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}
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if (neg) {
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if (dest->len == 0) {
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dest->neg = 0;
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} else if (neg) {
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dest->neg = 1 - lhs->neg;
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} else {
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dest->neg = lhs->neg;
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@@ -1484,14 +1485,16 @@ void mpz_divmod_inpl(mpz_t *dest_quo, mpz_t *dest_rem, const mpz_t *lhs, const m
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mpz_need_dig(dest_quo, lhs->len + 1); // +1 necessary?
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memset(dest_quo->dig, 0, (lhs->len + 1) * sizeof(mpz_dig_t));
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dest_quo->neg = 0;
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dest_quo->len = 0;
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mpz_need_dig(dest_rem, lhs->len + 1); // +1 necessary?
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mpz_set(dest_rem, lhs);
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mpn_div(dest_rem->dig, &dest_rem->len, rhs->dig, rhs->len, dest_quo->dig, &dest_quo->len);
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dest_rem->neg &= !!dest_rem->len;
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// check signs and do Python style modulo
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if (lhs->neg != rhs->neg) {
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dest_quo->neg = 1;
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dest_quo->neg = !!dest_quo->len;
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if (!mpz_is_zero(dest_rem)) {
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mpz_t mpzone;
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mpz_init_from_int(&mpzone, -1);
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