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-rw-r--r--Build/source/libs/mpfr/mpfr-src/src/gmp_op.c520
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diff --git a/Build/source/libs/mpfr/mpfr-src/src/gmp_op.c b/Build/source/libs/mpfr/mpfr-src/src/gmp_op.c
deleted file mode 100644
index 74cbec14d8b..00000000000
--- a/Build/source/libs/mpfr/mpfr-src/src/gmp_op.c
+++ /dev/null
@@ -1,520 +0,0 @@
-/* Implementations of operations between mpfr and mpz/mpq data
-
-Copyright 2001, 2003-2020 Free Software Foundation, Inc.
-Contributed by the AriC and Caramba 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 3 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.LESSER. If not, see
-https://www.gnu.org/licenses/ or 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"
-
-/* TODO: for functions with mpz_srcptr, check whether mpz_fits_slong_p
- is really useful in all cases. For instance, concerning the addition,
- one now has mpz_t -> long -> unsigned long -> mpfr_t then mpfr_add
- instead of mpz_t -> mpfr_t then mpfr_add. */
-
-/* Init and set a mpfr_t with enough precision to store a mpz.
- This function should be called in the extended exponent range. */
-static void
-init_set_z (mpfr_ptr t, mpz_srcptr z)
-{
- mpfr_prec_t p;
- int i;
-
- if (mpz_size (z) <= 1)
- p = GMP_NUMB_BITS;
- else
- MPFR_MPZ_SIZEINBASE2 (p, z);
- mpfr_init2 (t, p);
- i = mpfr_set_z (t, z, MPFR_RNDN);
- /* Possible assertion failure in case of overflow. Such cases,
- which imply that z is huge (if the function is called in
- the extended exponent range), are currently not supported,
- just like precisions around MPFR_PREC_MAX. */
- MPFR_ASSERTN (i == 0); (void) i; /* use i to avoid a warning */
-}
-
-/* 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, mpfr_rnd_t r,
- int (*f)(mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mpfr_rnd_t))
-{
- mpfr_t t;
- int i;
- MPFR_SAVE_EXPO_DECL (expo);
-
- MPFR_SAVE_EXPO_MARK (expo);
- init_set_z (t, z); /* There should be no exceptions. */
- i = (*f) (x, y, t, r);
- MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, __gmpfr_flags);
- mpfr_clear (t);
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (x, i, r);
-}
-
-static int
-foo2 (mpfr_ptr x, mpz_srcptr y, mpfr_srcptr z, mpfr_rnd_t r,
- int (*f)(mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mpfr_rnd_t))
-{
- mpfr_t t;
- int i;
- MPFR_SAVE_EXPO_DECL (expo);
-
- MPFR_SAVE_EXPO_MARK (expo);
- init_set_z (t, y); /* There should be no exceptions. */
- i = (*f) (x, t, z, r);
- MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, __gmpfr_flags);
- mpfr_clear (t);
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (x, i, r);
-}
-
-int
-mpfr_mul_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r)
-{
- if (mpz_fits_slong_p (z))
- return mpfr_mul_si (y, x, mpz_get_si (z), r);
- else
- return foo (y, x, z, r, mpfr_mul);
-}
-
-int
-mpfr_div_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r)
-{
- if (mpz_fits_slong_p (z))
- return mpfr_div_si (y, x, mpz_get_si (z), r);
- else
- return foo (y, x, z, r, mpfr_div);
-}
-
-int
-mpfr_add_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r)
-{
- if (mpz_fits_slong_p (z))
- return mpfr_add_si (y, x, mpz_get_si (z), r);
- else
- return foo (y, x, z, r, mpfr_add);
-}
-
-int
-mpfr_sub_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r)
-{
- if (mpz_fits_slong_p (z))
- return mpfr_sub_si (y, x, mpz_get_si (z), r);
- else
- return foo (y, x, z, r, mpfr_sub);
-}
-
-int
-mpfr_z_sub (mpfr_ptr y, mpz_srcptr x, mpfr_srcptr z, mpfr_rnd_t r)
-{
- if (mpz_fits_slong_p (x))
- return mpfr_si_sub (y, mpz_get_si (x), z, r);
- else
- return foo2 (y, x, z, r, mpfr_sub);
-}
-
-int
-mpfr_cmp_z (mpfr_srcptr x, mpz_srcptr z)
-{
- mpfr_t t;
- int res;
- mpfr_prec_t p;
- mpfr_flags_t flags;
-
- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
- return mpfr_cmp_si (x, mpz_sgn (z));
-
- if (mpz_fits_slong_p (z))
- return mpfr_cmp_si (x, mpz_get_si (z));
-
- if (mpz_size (z) <= 1)
- p = GMP_NUMB_BITS;
- else
- MPFR_MPZ_SIZEINBASE2 (p, z);
- mpfr_init2 (t, p);
- flags = __gmpfr_flags;
- if (mpfr_set_z (t, z, MPFR_RNDN))
- {
- /* overflow (t is an infinity) or underflow: z does not fit in the
- current exponent range.
- If overflow, then z is larger than the largest *integer* < +Inf
- (if z > 0), thus we get t = +Inf (or -Inf), and the value of
- mpfr_cmp (x, t) below is correct.
- If underflow, then z is smaller than the smallest number > 0,
- which is necessarily an integer, say xmin.
- If z > xmin/2, then t is xmin, and we divide t by 2 to ensure t
- is zero, and then the value of mpfr_cmp (x, t) below is correct. */
- mpfr_div_2ui (t, t, 2, MPFR_RNDZ); /* if underflow, set t to zero */
- __gmpfr_flags = flags; /* restore the flags */
- /* The real value of t (= z), which falls outside the exponent range,
- has been replaced by an equivalent value for the comparison: zero
- or an infinity. */
- }
- res = mpfr_cmp (x, t);
- mpfr_clear (t);
- return res;
-}
-
-#ifndef MPFR_USE_MINI_GMP
-/* Compute y = RND(x*n/d), where n and d are mpz integers.
- An integer 0 is assumed to have a positive sign.
- This function is used by mpfr_mul_q and mpfr_div_q.
- Note: the status of the rational 0/(-1) is not clear (if there is
- a signed infinity, there should be a signed zero). But infinities
- are not currently supported/documented in GMP, and if the rational
- is canonicalized as it should be, the case 0/(-1) cannot occur. */
-static int
-mpfr_muldiv_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr n, mpz_srcptr d,
- mpfr_rnd_t rnd_mode)
-{
- if (MPFR_UNLIKELY (mpz_sgn (n) == 0))
- {
- if (MPFR_UNLIKELY (mpz_sgn (d) == 0))
- MPFR_SET_NAN (y);
- else
- {
- mpfr_mul_ui (y, x, 0, MPFR_RNDN); /* exact: +0, -0 or NaN */
- if (MPFR_UNLIKELY (mpz_sgn (d) < 0))
- MPFR_CHANGE_SIGN (y);
- }
- return 0;
- }
- else if (MPFR_UNLIKELY (mpz_sgn (d) == 0))
- {
- mpfr_div_ui (y, x, 0, MPFR_RNDN); /* exact: +Inf, -Inf or NaN */
- if (MPFR_UNLIKELY (mpz_sgn (n) < 0))
- MPFR_CHANGE_SIGN (y);
- return 0;
- }
- else
- {
- mpfr_prec_t p;
- mpfr_t tmp;
- int inexact;
- MPFR_SAVE_EXPO_DECL (expo);
-
- MPFR_SAVE_EXPO_MARK (expo);
-
- /* With the current MPFR code, using mpfr_mul_z and mpfr_div_z
- for the general case should be faster than doing everything
- in mpn, mpz and/or mpq. MPFR_SAVE_EXPO_MARK could be avoided
- here, but it would be more difficult to handle corner cases. */
- MPFR_MPZ_SIZEINBASE2 (p, n);
- mpfr_init2 (tmp, MPFR_PREC (x) + p);
- inexact = mpfr_mul_z (tmp, x, n, MPFR_RNDN);
- /* Since |n| >= 1, an underflow is not possible. And the precision of
- tmp has been chosen so that inexact != 0 iff there's an overflow. */
- if (MPFR_UNLIKELY (inexact != 0))
- {
- mpfr_t x0;
- mpfr_exp_t ex;
- MPFR_BLOCK_DECL (flags);
-
- /* intermediate overflow case */
- MPFR_ASSERTD (mpfr_inf_p (tmp));
- ex = MPFR_GET_EXP (x); /* x is a pure FP number */
- MPFR_ALIAS (x0, x, MPFR_SIGN(x), 0); /* x0 = x / 2^ex */
- MPFR_BLOCK (flags,
- inexact = mpfr_mul_z (tmp, x0, n, MPFR_RNDN);
- MPFR_ASSERTD (inexact == 0);
- inexact = mpfr_div_z (y, tmp, d, rnd_mode);
- /* Just in case the division underflows
- (highly unlikely, not supported)... */
- MPFR_ASSERTN (!MPFR_BLOCK_EXCEP));
- MPFR_EXP (y) += ex;
- /* Detect highly unlikely, not supported corner cases... */
- MPFR_ASSERTN (MPFR_EXP (y) >= __gmpfr_emin);
- MPFR_ASSERTN (! MPFR_IS_SINGULAR (y));
- /* The potential overflow will be detected by mpfr_check_range. */
- }
- else
- inexact = mpfr_div_z (y, tmp, d, rnd_mode);
-
- mpfr_clear (tmp);
-
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (y, inexact, rnd_mode);
- }
-}
-
-int
-mpfr_mul_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mpfr_rnd_t rnd_mode)
-{
- return mpfr_muldiv_z (y, x, mpq_numref (z), mpq_denref (z), rnd_mode);
-}
-
-int
-mpfr_div_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mpfr_rnd_t rnd_mode)
-{
- return mpfr_muldiv_z (y, x, mpq_denref (z), mpq_numref (z), rnd_mode);
-}
-
-int
-mpfr_add_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mpfr_rnd_t rnd_mode)
-{
- mpfr_t t,q;
- mpfr_prec_t p;
- mpfr_exp_t err;
- int res;
- MPFR_SAVE_EXPO_DECL (expo);
- 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))
- {
- if (MPFR_UNLIKELY (mpz_sgn (mpq_denref (z)) == 0 &&
- MPFR_MULT_SIGN (mpz_sgn (mpq_numref (z)),
- MPFR_SIGN (x)) <= 0))
- {
- MPFR_SET_NAN (y);
- MPFR_RET_NAN;
- }
- 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);
- }
- }
-
- MPFR_SAVE_EXPO_MARK (expo);
-
- p = MPFR_PREC (y) + 10;
- mpfr_init2 (t, p);
- mpfr_init2 (q, p);
-
- MPFR_ZIV_INIT (loop, p);
- for (;;)
- {
- MPFR_BLOCK_DECL (flags);
-
- res = mpfr_set_q (q, z, MPFR_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_BLOCK (flags, mpfr_add (t, x, q, MPFR_RNDN));
- /* Error on t is <= 1/2 ulp(t), except in case of overflow/underflow,
- but such an exception is very unlikely as it would be possible
- only if q has a huge numerator or denominator. Not supported! */
- MPFR_ASSERTN (! (MPFR_OVERFLOW (flags) || MPFR_UNDERFLOW (flags)));
- /* 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 = (mpfr_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);
-
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (y, res, rnd_mode);
-}
-
-int
-mpfr_sub_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z,mpfr_rnd_t rnd_mode)
-{
- mpfr_t t,q;
- mpfr_prec_t p;
- int res;
- mpfr_exp_t err;
- MPFR_SAVE_EXPO_DECL (expo);
- 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))
- {
- if (MPFR_UNLIKELY (mpz_sgn (mpq_denref (z)) == 0 &&
- MPFR_MULT_SIGN (mpz_sgn (mpq_numref (z)),
- MPFR_SIGN (x)) >= 0))
- {
- MPFR_SET_NAN (y);
- MPFR_RET_NAN;
- }
- 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;
- }
- }
- }
-
- MPFR_SAVE_EXPO_MARK (expo);
-
- p = MPFR_PREC (y) + 10;
- mpfr_init2 (t, p);
- mpfr_init2 (q, p);
-
- MPFR_ZIV_INIT (loop, p);
- for(;;)
- {
- MPFR_BLOCK_DECL (flags);
-
- res = mpfr_set_q(q, z, MPFR_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_BLOCK (flags, mpfr_sub (t, x, q, MPFR_RNDN));
- /* Error on t is <= 1/2 ulp(t), except in case of overflow/underflow,
- but such an exception is very unlikely as it would be possible
- only if q has a huge numerator or denominator. Not supported! */
- MPFR_ASSERTN (! (MPFR_OVERFLOW (flags) || MPFR_UNDERFLOW (flags)));
- /* 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 = (mpfr_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);
-
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (y, res, rnd_mode);
-}
-
-int
-mpfr_cmp_q (mpfr_srcptr x, mpq_srcptr q)
-{
- mpfr_t t;
- int res;
- mpfr_prec_t p;
- MPFR_SAVE_EXPO_DECL (expo);
-
- /* GMP allows the user to set the denominator to 0. This is interpreted
- by MPFR as the value being an infinity or NaN (probably better than
- an assertion failure). */
- if (MPFR_UNLIKELY (mpz_sgn (mpq_denref (q)) == 0))
- {
- /* q is an infinity or NaN */
- mpfr_flags_t old_flags;
-
- mpfr_init2 (t, MPFR_PREC_MIN);
- old_flags = __gmpfr_flags;
- mpfr_set_q (t, q, MPFR_RNDN);
- __gmpfr_flags = old_flags;
- res = mpfr_cmp (x, t);
- mpfr_clear (t);
- return res;
- }
-
- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
- return mpfr_cmp_si (x, mpq_sgn (q));
-
- MPFR_SAVE_EXPO_MARK (expo);
-
- /* x < a/b ? <=> x*b < a */
- MPFR_MPZ_SIZEINBASE2 (p, mpq_denref (q));
- mpfr_init2 (t, MPFR_PREC(x) + p);
- res = mpfr_mul_z (t, x, mpq_denref (q), MPFR_RNDN);
- MPFR_ASSERTD (res == 0);
- res = mpfr_cmp_z (t, mpq_numref (q));
- mpfr_clear (t);
-
- MPFR_SAVE_EXPO_FREE (expo);
- return res;
-}
-#endif
-
-#ifndef MPFR_USE_MINI_GMP
-int
-mpfr_cmp_f (mpfr_srcptr x, mpf_srcptr z)
-{
- mpfr_t t;
- int res;
- MPFR_SAVE_EXPO_DECL (expo);
-
- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
- return mpfr_cmp_si (x, mpf_sgn (z));
-
- MPFR_SAVE_EXPO_MARK (expo);
-
- mpfr_init2 (t, MPFR_PREC_MIN + ABSIZ(z) * GMP_NUMB_BITS);
- res = mpfr_set_f (t, z, MPFR_RNDN);
- MPFR_ASSERTD (res == 0);
- res = mpfr_cmp (x, t);
- mpfr_clear (t);
-
- MPFR_SAVE_EXPO_FREE (expo);
- return res;
-}
-#endif