--- /dev/null
+/* Implementations of operations between mpfr and mpz/mpq data
+
+Copyright 2001, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the GNU MPFR Library.
+
+The GNU MPFR Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Lesser General Public License as published by
+the Free Software Foundation; either version 2.1 of the License, or (at your
+option) any later version.
+
+The GNU MPFR Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
+MA 02110-1301, USA. */
+
+#define MPFR_NEED_LONGLONG_H
+#include "mpfr-impl.h"
+
+/* Init and set a mpfr_t with enough precision to store a mpz */
+static void
+init_set_z (mpfr_ptr t, mpz_srcptr z)
+{
+ mp_prec_t p;
+ int i;
+
+ if (mpz_size (z) <= 1)
+ p = BITS_PER_MP_LIMB;
+ else
+ MPFR_MPZ_SIZEINBASE2 (p, z);
+ mpfr_init2 (t, p);
+ i = mpfr_set_z (t, z, GMP_RNDN);
+ MPFR_ASSERTD (i == 0);
+}
+
+/* Init, set a mpfr_t with enough precision to store a mpz_t without round,
+ call the function, and clear the allocated mpfr_t */
+static int
+foo (mpfr_ptr x, mpfr_srcptr y, mpz_srcptr z, mp_rnd_t r,
+ int (*f)(mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t))
+{
+ mpfr_t t;
+ int i;
+ init_set_z (t, z);
+ i = (*f) (x, y, t, r);
+ mpfr_clear (t);
+ return i;
+}
+
+int
+mpfr_mul_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mp_rnd_t r)
+{
+ return foo (y, x, z, r, mpfr_mul);
+}
+
+int
+mpfr_div_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mp_rnd_t r)
+{
+ return foo (y, x, z, r, mpfr_div);
+}
+
+int
+mpfr_add_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mp_rnd_t r)
+{
+ /* Mpz 0 is unsigned */
+ if (MPFR_UNLIKELY (mpz_sgn (z) == 0))
+ return mpfr_set (y, x, r);
+ else
+ return foo (y, x, z, r, mpfr_add);
+}
+
+int
+mpfr_sub_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mp_rnd_t r)
+{
+ /* Mpz 0 is unsigned */
+ if (MPFR_UNLIKELY (mpz_sgn (z) == 0))
+ return mpfr_set (y, x, r);
+ else
+ return foo (y, x, z, r, mpfr_sub);
+}
+
+int
+mpfr_cmp_z (mpfr_srcptr x, mpz_srcptr z)
+{
+ mpfr_t t;
+ int res;
+ init_set_z (t, z);
+ res = mpfr_cmp (x, t);
+ mpfr_clear (t);
+ return res;
+}
+
+int
+mpfr_mul_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mp_rnd_t rnd_mode)
+{
+ mpfr_t tmp;
+ int res;
+ mp_prec_t p;
+
+ if (MPFR_UNLIKELY (mpq_sgn (z) == 0))
+ return mpfr_mul_ui (y, x, 0, rnd_mode);
+ else
+ {
+ MPFR_MPZ_SIZEINBASE2 (p, mpq_numref (z));
+ mpfr_init2 (tmp, MPFR_PREC (x) + p);
+ res = mpfr_mul_z (tmp, x, mpq_numref(z), GMP_RNDN );
+ MPFR_ASSERTD (res == 0);
+ res = mpfr_div_z (y, tmp, mpq_denref(z), rnd_mode);
+ mpfr_clear (tmp);
+ return res;
+ }
+}
+
+int
+mpfr_div_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mp_rnd_t rnd_mode)
+{
+ mpfr_t tmp;
+ int res;
+ mp_prec_t p;
+
+ if (MPFR_UNLIKELY (mpq_sgn (z) == 0))
+ return mpfr_div_ui (y, x, 0, rnd_mode);
+ else if (MPFR_UNLIKELY (mpz_sgn (mpq_denref (z)) == 0))
+ p = 0;
+ else
+ MPFR_MPZ_SIZEINBASE2 (p, mpq_denref (z));
+ mpfr_init2 (tmp, MPFR_PREC(x) + p);
+ res = mpfr_mul_z (tmp, x, mpq_denref(z), GMP_RNDN );
+ MPFR_ASSERTD( res == 0 );
+ res = mpfr_div_z (y, tmp, mpq_numref(z), rnd_mode);
+ mpfr_clear (tmp);
+ return res;
+}
+
+int
+mpfr_add_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mp_rnd_t rnd_mode)
+{
+ mpfr_t t,q;
+ mp_prec_t p;
+ mp_exp_t err;
+ int res;
+ MPFR_ZIV_DECL (loop);
+
+ if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
+ {
+ if (MPFR_IS_NAN (x))
+ {
+ MPFR_SET_NAN (y);
+ MPFR_RET_NAN;
+ }
+ else if (MPFR_IS_INF (x))
+ {
+ MPFR_ASSERTD (mpz_sgn (mpq_denref (z)) != 0);
+ MPFR_SET_INF (y);
+ MPFR_SET_SAME_SIGN (y, x);
+ MPFR_RET (0);
+ }
+ else
+ {
+ MPFR_ASSERTD (MPFR_IS_ZERO (x));
+ if (MPFR_UNLIKELY (mpq_sgn (z) == 0))
+ return mpfr_set (y, x, rnd_mode); /* signed 0 - Unsigned 0 */
+ else
+ return mpfr_set_q (y, z, rnd_mode);
+ }
+ }
+
+ p = MPFR_PREC (y) + 10;
+ mpfr_init2 (t, p);
+ mpfr_init2 (q, p);
+
+ MPFR_ZIV_INIT (loop, p);
+ for (;;)
+ {
+ res = mpfr_set_q (q, z, GMP_RNDN); /* Error <= 1/2 ulp(q) */
+ /* If z if @INF@ (1/0), res = 0, so it quits immediately */
+ if (MPFR_UNLIKELY (res == 0))
+ /* Result is exact so we can add it directly! */
+ {
+ res = mpfr_add (y, x, q, rnd_mode);
+ break;
+ }
+ mpfr_add (t, x, q, GMP_RNDN); /* Error <= 1/2 ulp(t) */
+ /* Error / ulp(t) <= 1/2 + 1/2 * 2^(EXP(q)-EXP(t))
+ If EXP(q)-EXP(t)>0, <= 2^(EXP(q)-EXP(t)-1)*(1+2^-(EXP(q)-EXP(t)))
+ <= 2^(EXP(q)-EXP(t))
+ If EXP(q)-EXP(t)<0, <= 2^0 */
+ /* We can get 0, but we can't round since q is inexact */
+ if (MPFR_LIKELY (!MPFR_IS_ZERO (t)))
+ {
+ err = (mp_exp_t) p - 1 - MAX (MPFR_GET_EXP(q)-MPFR_GET_EXP(t), 0);
+ if (MPFR_LIKELY (MPFR_CAN_ROUND (t, err, MPFR_PREC (y), rnd_mode)))
+ {
+ res = mpfr_set (y, t, rnd_mode);
+ break;
+ }
+ }
+ MPFR_ZIV_NEXT (loop, p);
+ mpfr_set_prec (t, p);
+ mpfr_set_prec (q, p);
+ }
+ MPFR_ZIV_FREE (loop);
+ mpfr_clear (t);
+ mpfr_clear (q);
+ return res;
+}
+
+int
+mpfr_sub_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z,mp_rnd_t rnd_mode)
+{
+ mpfr_t t,q;
+ mp_prec_t p;
+ int res;
+ mp_exp_t err;
+ MPFR_ZIV_DECL (loop);
+
+ if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
+ {
+ if (MPFR_IS_NAN (x))
+ {
+ MPFR_SET_NAN (y);
+ MPFR_RET_NAN;
+ }
+ else if (MPFR_IS_INF (x))
+ {
+ MPFR_ASSERTD (mpz_sgn (mpq_denref (z)) != 0);
+ MPFR_SET_INF (y);
+ MPFR_SET_SAME_SIGN (y, x);
+ MPFR_RET (0);
+ }
+ else
+ {
+ MPFR_ASSERTD (MPFR_IS_ZERO (x));
+
+ if (MPFR_UNLIKELY (mpq_sgn (z) == 0))
+ return mpfr_set (y, x, rnd_mode); /* signed 0 - Unsigned 0 */
+ else
+ {
+ res = mpfr_set_q (y, z, MPFR_INVERT_RND (rnd_mode));
+ MPFR_CHANGE_SIGN (y);
+ return -res;
+ }
+ }
+ }
+
+ p = MPFR_PREC (y) + 10;
+ mpfr_init2 (t, p);
+ mpfr_init2 (q, p);
+
+ MPFR_ZIV_INIT (loop, p);
+ for(;;)
+ {
+ res = mpfr_set_q(q, z, GMP_RNDN); /* Error <= 1/2 ulp(q) */
+ /* If z if @INF@ (1/0), res = 0, so it quits immediately */
+ if (MPFR_UNLIKELY (res == 0))
+ /* Result is exact so we can add it directly!*/
+ {
+ res = mpfr_sub (y, x, q, rnd_mode);
+ break;
+ }
+ mpfr_sub (t, x, q, GMP_RNDN); /* Error <= 1/2 ulp(t) */
+ /* Error / ulp(t) <= 1/2 + 1/2 * 2^(EXP(q)-EXP(t))
+ If EXP(q)-EXP(t)>0, <= 2^(EXP(q)-EXP(t)-1)*(1+2^-(EXP(q)-EXP(t)))
+ <= 2^(EXP(q)-EXP(t))
+ If EXP(q)-EXP(t)<0, <= 2^0 */
+ /* We can get 0, but we can't round since q is inexact */
+ if (MPFR_LIKELY (!MPFR_IS_ZERO (t)))
+ {
+ err = (mp_exp_t) p - 1 - MAX (MPFR_GET_EXP(q)-MPFR_GET_EXP(t), 0);
+ res = MPFR_CAN_ROUND (t, err, MPFR_PREC (y), rnd_mode);
+ if (MPFR_LIKELY (res != 0)) /* We can round! */
+ {
+ res = mpfr_set (y, t, rnd_mode);
+ break;
+ }
+ }
+ MPFR_ZIV_NEXT (loop, p);
+ mpfr_set_prec (t, p);
+ mpfr_set_prec (q, p);
+ }
+ MPFR_ZIV_FREE (loop);
+ mpfr_clear (t);
+ mpfr_clear (q);
+ return res;
+}
+
+int
+mpfr_cmp_q (mpfr_srcptr x, mpq_srcptr z)
+{
+ mpfr_t t;
+ int res;
+ mp_prec_t p;
+ /* x < a/b ? <=> x*b < a */
+ MPFR_ASSERTD (mpz_sgn (mpq_denref (z)) != 0);
+ MPFR_MPZ_SIZEINBASE2 (p, mpq_denref (z));
+ mpfr_init2 (t, MPFR_PREC(x) + p);
+ res = mpfr_mul_z (t, x, mpq_denref (z), GMP_RNDN );
+ MPFR_ASSERTD (res == 0);
+ res = mpfr_cmp_z (t, mpq_numref (z) );
+ mpfr_clear (t);
+ return res;
+}
+
+int
+mpfr_cmp_f (mpfr_srcptr x, mpf_srcptr z)
+{
+ mpfr_t t;
+ int res;
+
+ mpfr_init2 (t, MPFR_PREC_MIN + ABS(SIZ(z)) * BITS_PER_MP_LIMB );
+ res = mpfr_set_f (t, z, GMP_RNDN);
+ MPFR_ASSERTD (res == 0);
+ res = mpfr_cmp (x, t);
+ mpfr_clear (t);
+ return res;
+}
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