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Implement floor-quotient with new integer lib
* libguile/integers.c (scm_integer_floor_quotient_ii) (scm_integer_floor_quotient_iz, scm_integer_floor_quotient_zi) (scm_integer_floor_quotient_zz): New internal functions. (long_to_scm, ulong_to_scm, take_bignum_from_mpz): New helpers. * libguile/integers.h: Declare internal functions. * libguile/numbers.c (scm_floor_quotient): Use the new functions.
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3 changed files with 92 additions and 67 deletions
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@ -180,10 +180,20 @@ long_to_bignum (long i)
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};
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static SCM
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inum_to_bignum (scm_t_inum i)
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long_to_scm (long i)
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{
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if (SCM_FIXABLE (i))
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return SCM_I_MAKINUM (i);
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return long_to_bignum (i);
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};
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}
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static SCM
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ulong_to_scm (unsigned long i)
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{
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if (SCM_POSFIXABLE (i))
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return SCM_I_MAKINUM (i);
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return ulong_to_bignum (i);
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}
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static struct scm_bignum *
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clone_bignum (struct scm_bignum *z)
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@ -212,6 +222,14 @@ make_bignum_from_mpz (mpz_srcptr mpz)
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return mpz_sgn (mpz) < 0 ? negate_bignum (ret) : ret;
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}
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static struct scm_bignum *
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take_bignum_from_mpz (mpz_ptr mpz)
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{
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struct scm_bignum *res = make_bignum_from_mpz (mpz);
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mpz_clear (mpz);
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return res;
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}
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static SCM
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normalize_bignum (struct scm_bignum *z)
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{
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@ -251,11 +269,7 @@ scm_integer_abs_i (scm_t_inum i)
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if (i >= 0)
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return SCM_I_MAKINUM (i);
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unsigned long abs = long_magnitude (i);
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if (SCM_LIKELY (SCM_POSFIXABLE (abs)))
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return SCM_I_MAKINUM (abs);
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return ulong_to_bignum (abs);
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return ulong_to_scm (long_magnitude (i));
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}
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SCM
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@ -266,3 +280,61 @@ scm_integer_abs_z (SCM z)
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return SCM_PACK (negate_bignum (clone_bignum (scm_bignum (z))));
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}
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SCM
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scm_integer_floor_quotient_ii (scm_t_inum x, scm_t_inum y)
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{
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if (y > 0)
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{
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if (x < 0)
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x = x - y + 1;
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}
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else if (y == 0)
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scm_num_overflow ("floor-quotient");
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else if (x > 0)
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x = x - y - 1;
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scm_t_inum q = x / y;
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return long_to_scm (q);
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}
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SCM
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scm_integer_floor_quotient_iz (scm_t_inum x, SCM y)
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{
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if (x == 0 || ((x < 0) == bignum_is_negative (scm_bignum (y))))
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return SCM_INUM0;
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return SCM_I_MAKINUM (-1);
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}
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SCM
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scm_integer_floor_quotient_zi (SCM x, scm_t_inum y)
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{
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if (y == 0)
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scm_num_overflow ("floor-quotient");
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else if (y == 1)
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return x;
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mpz_t zx, q;
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alias_bignum_to_mpz (scm_bignum (x), zx);
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mpz_init (q);
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if (y > 0)
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mpz_fdiv_q_ui (q, zx, y);
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else
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{
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mpz_cdiv_q_ui (q, zx, -y);
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mpz_neg (q, q);
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}
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scm_remember_upto_here_1 (x);
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return SCM_PACK (normalize_bignum (take_bignum_from_mpz (q)));
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}
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SCM
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scm_integer_floor_quotient_zz (SCM x, SCM y)
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{
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mpz_t zx, zy, q;
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alias_bignum_to_mpz (scm_bignum (x), zx);
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alias_bignum_to_mpz (scm_bignum (y), zy);
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mpz_init (q);
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mpz_fdiv_q (q, zx, zy);
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scm_remember_upto_here_2 (x, y);
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return SCM_PACK (normalize_bignum (take_bignum_from_mpz (q)));
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}
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@ -29,6 +29,11 @@ SCM_INTERNAL int scm_is_integer_odd_z (SCM z);
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SCM_INTERNAL SCM scm_integer_abs_i (scm_t_inum i);
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SCM_INTERNAL SCM scm_integer_abs_z (SCM z);
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SCM_INTERNAL SCM scm_integer_floor_quotient_ii (scm_t_inum x, scm_t_inum y);
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SCM_INTERNAL SCM scm_integer_floor_quotient_iz (scm_t_inum x, SCM y);
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SCM_INTERNAL SCM scm_integer_floor_quotient_zi (SCM x, scm_t_inum y);
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SCM_INTERNAL SCM scm_integer_floor_quotient_zz (SCM x, SCM y);
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#endif /* SCM_INTEGERS_H */
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@ -1200,40 +1200,14 @@ SCM_PRIMITIVE_GENERIC (scm_floor_quotient, "floor-quotient", 2, 0, 0,
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"@end lisp")
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#define FUNC_NAME s_scm_floor_quotient
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{
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if (SCM_LIKELY (SCM_I_INUMP (x)))
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if (SCM_I_INUMP (x))
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{
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scm_t_inum xx = SCM_I_INUM (x);
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if (SCM_LIKELY (SCM_I_INUMP (y)))
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{
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scm_t_inum yy = SCM_I_INUM (y);
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scm_t_inum xx1 = xx;
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scm_t_inum qq;
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if (SCM_LIKELY (yy > 0))
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{
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if (SCM_UNLIKELY (xx < 0))
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xx1 = xx - yy + 1;
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}
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else if (SCM_UNLIKELY (yy == 0))
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scm_num_overflow (s_scm_floor_quotient);
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else if (xx > 0)
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xx1 = xx - yy - 1;
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qq = xx1 / yy;
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if (SCM_LIKELY (SCM_FIXABLE (qq)))
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return SCM_I_MAKINUM (qq);
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else
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return scm_i_inum2big (qq);
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}
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if (SCM_I_INUMP (y))
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return scm_integer_floor_quotient_ii (SCM_I_INUM (x), SCM_I_INUM (y));
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else if (SCM_BIGP (y))
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{
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int sign = mpz_sgn (SCM_I_BIG_MPZ (y));
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scm_remember_upto_here_1 (y);
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if (sign > 0)
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return SCM_I_MAKINUM ((xx < 0) ? -1 : 0);
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else
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return SCM_I_MAKINUM ((xx > 0) ? -1 : 0);
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}
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return scm_integer_floor_quotient_iz (SCM_I_INUM (x), y);
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else if (SCM_REALP (y))
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return scm_i_inexact_floor_quotient (xx, SCM_REAL_VALUE (y));
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return scm_i_inexact_floor_quotient (SCM_I_INUM (x), SCM_REAL_VALUE (y));
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else if (SCM_FRACTIONP (y))
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return scm_i_exact_rational_floor_quotient (x, y);
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else
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@ -1242,36 +1216,10 @@ SCM_PRIMITIVE_GENERIC (scm_floor_quotient, "floor-quotient", 2, 0, 0,
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}
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else if (SCM_BIGP (x))
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{
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if (SCM_LIKELY (SCM_I_INUMP (y)))
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{
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scm_t_inum yy = SCM_I_INUM (y);
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if (SCM_UNLIKELY (yy == 0))
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scm_num_overflow (s_scm_floor_quotient);
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else if (SCM_UNLIKELY (yy == 1))
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return x;
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else
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{
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SCM q = scm_i_mkbig ();
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if (yy > 0)
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mpz_fdiv_q_ui (SCM_I_BIG_MPZ (q), SCM_I_BIG_MPZ (x), yy);
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else
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{
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mpz_cdiv_q_ui (SCM_I_BIG_MPZ (q), SCM_I_BIG_MPZ (x), -yy);
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mpz_neg (SCM_I_BIG_MPZ (q), SCM_I_BIG_MPZ (q));
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}
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scm_remember_upto_here_1 (x);
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return scm_i_normbig (q);
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}
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}
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if (SCM_I_INUMP (y))
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return scm_integer_floor_quotient_zi (x, SCM_I_INUM (y));
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else if (SCM_BIGP (y))
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{
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SCM q = scm_i_mkbig ();
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mpz_fdiv_q (SCM_I_BIG_MPZ (q),
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SCM_I_BIG_MPZ (x),
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SCM_I_BIG_MPZ (y));
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scm_remember_upto_here_2 (x, y);
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return scm_i_normbig (q);
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}
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return scm_integer_floor_quotient_zz (x, y);
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else if (SCM_REALP (y))
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return scm_i_inexact_floor_quotient
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(scm_i_big2dbl (x), SCM_REAL_VALUE (y));
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