diff options
Diffstat (limited to 'Build/source/libs/mpfr/mpfr-src/src/gmp_op.c')
-rw-r--r-- | Build/source/libs/mpfr/mpfr-src/src/gmp_op.c | 520 |
1 files changed, 0 insertions, 520 deletions
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 |