ZYM/MiniGmp-Verification
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feat(mpz_swap): Proved correctness of mpz_swap. Proved some previously admitted lemmas.

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This commit is contained in:
xiaoh105
2025-06-22 21:00:50 +08:00
parent 77ccdd3e50
commit ff1fd68eb1
6 changed files with 795 additions and 20 deletions
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32
projects/mini-gmp.h
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@ -30,18 +30,38 @@ typedef const __mpz_struct *mpz_srcptr;
/* BEGIN Given Functions */
/* Swap functions. */
void int_swap(int x, int y)
void int_swap(int *x, int *y)
/*@
With
px py
Require
emp
*x == px && *y == py
Ensure
x == y@pre && y == x@pre
*x@pre == py && *y@pre == px
*/
;
void mp_ptr_swap(unsigned int *x, unsigned int *y);
void mp_ptr_swap(unsigned int **x, unsigned int **y)
/*@
With
px py
Require
*x == px && *y == py
Ensure
*x@pre == py && *y@pre == px
*/
;
void mpz_srcptr_swap(mpz_srcptr x, mpz_srcptr y);
void mpz_srcptr_swap(mpz_srcptr *x, mpz_srcptr *y)
/*@
With
px py
Require
*x == px && *y == py
Ensure
*x@pre == py && *y@pre == px
*/
;
/* Memory allocation functions. */
static unsigned int *
@ -96,7 +116,7 @@ void mpz_clear (mpz_t r);
int mpz_sgn (const mpz_t u);
void mpz_neg (mpz_t, const mpz_t);
void mpz_swap (mpz_t, mpz_t);
void mpz_swap (mpz_t u, mpz_t v);
void mpz_add (mpz_t, const mpz_t, const mpz_t);
void mpz_sub (mpz_t, const mpz_t, const mpz_t);