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Reimplement exact-integer-sqrt with integers.[ch]
* libguile/numbers.c (scm_exact_integer_sqrt): Call out. * libguile/integers.h: * libguile/integers.c (scm_integer_exact_sqrt_i): (scm_integer_exact_sqrt_z): New internal functions.
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3 changed files with 44 additions and 31 deletions
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@ -3044,3 +3044,33 @@ scm_integer_to_mpz_z (struct scm_bignum *z, mpz_t n)
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mpz_init_set (n, zn);
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scm_remember_upto_here_1 (z);
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}
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void
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scm_integer_exact_sqrt_i (scm_t_inum k, SCM *s, SCM *r)
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{
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ASSERT (k >= 0);
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if (k == 0)
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*s = *r = SCM_INUM0;
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else
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{
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mp_limb_t kk = k, ss, rr;
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if (mpn_sqrtrem (&ss, &rr, &kk, 1) == 0)
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rr = 0;
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*s = SCM_I_MAKINUM (ss);
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*r = SCM_I_MAKINUM (rr);
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}
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}
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void
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scm_integer_exact_sqrt_z (struct scm_bignum *k, SCM *s, SCM *r)
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{
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mpz_t zk, zs, zr;
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alias_bignum_to_mpz (k, zk);
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mpz_init (zs);
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mpz_init (zr);
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mpz_sqrtrem (zs, zr, zk);
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scm_remember_upto_here_1 (k);
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*s = take_mpz (zs);
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*r = take_mpz (zr);
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}
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@ -212,6 +212,10 @@ SCM_INTERNAL int scm_integer_to_uint64_z (struct scm_bignum *z, uint64_t *val);
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SCM_INTERNAL SCM scm_integer_from_int64 (int64_t n);
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SCM_INTERNAL SCM scm_integer_from_uint64 (uint64_t n);
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SCM_INTERNAL void scm_integer_exact_sqrt_i (scm_t_inum k, SCM *s, SCM *r);
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SCM_INTERNAL void scm_integer_exact_sqrt_z (struct scm_bignum *k,
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SCM *s, SCM *r);
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#endif /* SCM_INTEGERS_H */
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@ -7374,41 +7374,20 @@ SCM_DEFINE (scm_i_exact_integer_sqrt, "exact-integer-sqrt", 1, 0, 0,
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void
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scm_exact_integer_sqrt (SCM k, SCM *sp, SCM *rp)
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{
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if (SCM_LIKELY (SCM_I_INUMP (k)))
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if (SCM_I_INUMP (k))
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{
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if (SCM_I_INUM (k) > 0)
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{
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mp_limb_t kk, ss, rr;
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kk = SCM_I_INUM (k);
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if (mpn_sqrtrem (&ss, &rr, &kk, 1) == 0)
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rr = 0;
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*sp = SCM_I_MAKINUM (ss);
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*rp = SCM_I_MAKINUM (rr);
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}
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else if (SCM_I_INUM (k) == 0)
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*sp = *rp = SCM_INUM0;
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else
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scm_wrong_type_arg_msg ("exact-integer-sqrt", SCM_ARG1, k,
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"exact non-negative integer");
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scm_t_inum kk = SCM_I_INUM (k);
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if (kk >= 0)
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return scm_integer_exact_sqrt_i (kk, sp, rp);
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}
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else if (SCM_LIKELY (SCM_BIGP (k)))
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else if (SCM_BIGP (k))
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{
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SCM s, r;
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if (mpz_sgn (SCM_I_BIG_MPZ (k)) < 0)
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scm_wrong_type_arg_msg ("exact-integer-sqrt", SCM_ARG1, k,
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"exact non-negative integer");
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s = scm_i_mkbig ();
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r = scm_i_mkbig ();
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mpz_sqrtrem (SCM_I_BIG_MPZ (s), SCM_I_BIG_MPZ (r), SCM_I_BIG_MPZ (k));
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scm_remember_upto_here_1 (k);
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*sp = scm_i_normbig (s);
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*rp = scm_i_normbig (r);
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struct scm_bignum *zk = scm_bignum (k);
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if (!scm_is_integer_negative_z (zk))
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return scm_integer_exact_sqrt_z (zk, sp, rp);
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}
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else
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scm_wrong_type_arg_msg ("exact-integer-sqrt", SCM_ARG1, k,
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"exact non-negative integer");
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scm_wrong_type_arg_msg ("exact-integer-sqrt", SCM_ARG1, k,
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"exact non-negative integer");
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}
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/* Return true iff K is a perfect square.
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