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Diffstat (limited to 'Build/source/libs/mpfr/mpfr-src/src/gammaonethird.c')
-rw-r--r-- | Build/source/libs/mpfr/mpfr-src/src/gammaonethird.c | 191 |
1 files changed, 0 insertions, 191 deletions
diff --git a/Build/source/libs/mpfr/mpfr-src/src/gammaonethird.c b/Build/source/libs/mpfr/mpfr-src/src/gammaonethird.c deleted file mode 100644 index 0804fda60f8..00000000000 --- a/Build/source/libs/mpfr/mpfr-src/src/gammaonethird.c +++ /dev/null @@ -1,191 +0,0 @@ -/* Functions for evaluating Gamma(1/3) and Gamma(2/3). Used by mpfr_ai. - -Copyright 2010-2020 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" - -#define MPFR_ACC_OR_MUL(v) \ - do \ - { \ - if (v <= ULONG_MAX / acc) \ - acc *= v; \ - else \ - { \ - mpfr_mul_ui (y, y, acc, mode); acc = v; \ - } \ - } \ - while (0) - -#define MPFR_ACC_OR_DIV(v) \ - do \ - { \ - if (v <= ULONG_MAX / acc) \ - acc *= v; \ - else \ - { \ - mpfr_div_ui (y, y, acc, mode); acc = v; \ - } \ - } \ - while (0) - -static void -mpfr_mul_ui5 (mpfr_ptr y, mpfr_srcptr x, - unsigned long int v1, unsigned long int v2, - unsigned long int v3, unsigned long int v4, - unsigned long int v5, mpfr_rnd_t mode) -{ - unsigned long int acc = v1; - mpfr_set (y, x, mode); - MPFR_ACC_OR_MUL (v2); - MPFR_ACC_OR_MUL (v3); - MPFR_ACC_OR_MUL (v4); - MPFR_ACC_OR_MUL (v5); - mpfr_mul_ui (y, y, acc, mode); -} - -void -mpfr_div_ui2 (mpfr_ptr y, mpfr_srcptr x, - unsigned long int v1, unsigned long int v2, mpfr_rnd_t mode) -{ - unsigned long int acc = v1; - mpfr_set (y, x, mode); - MPFR_ACC_OR_DIV (v2); - mpfr_div_ui (y, y, acc, mode); -} - -static void -mpfr_div_ui8 (mpfr_ptr y, mpfr_srcptr x, - unsigned long int v1, unsigned long int v2, - unsigned long int v3, unsigned long int v4, - unsigned long int v5, unsigned long int v6, - unsigned long int v7, unsigned long int v8, mpfr_rnd_t mode) -{ - unsigned long int acc = v1; - mpfr_set (y, x, mode); - MPFR_ACC_OR_DIV (v2); - MPFR_ACC_OR_DIV (v3); - MPFR_ACC_OR_DIV (v4); - MPFR_ACC_OR_DIV (v5); - MPFR_ACC_OR_DIV (v6); - MPFR_ACC_OR_DIV (v7); - MPFR_ACC_OR_DIV (v8); - mpfr_div_ui (y, y, acc, mode); -} - - -/* Gives an approximation of omega = Gamma(1/3)^6 * sqrt(10) / (12pi^4) */ -/* using C. H. Brown's formula. */ -/* The computed value s satisfies |s-omega| <= 2^{1-prec}*omega */ -/* As usual, the variable s is supposed to be initialized. */ -static void -mpfr_Browns_const (mpfr_ptr s, mpfr_prec_t prec) -{ - mpfr_t uk; - unsigned long int k; - - mpfr_prec_t working_prec = prec + 10 + MPFR_INT_CEIL_LOG2 (2 + prec / 10); - - mpfr_init2 (uk, working_prec); - mpfr_set_prec (s, working_prec); - - mpfr_set_ui (uk, 1, MPFR_RNDN); - mpfr_set (s, uk, MPFR_RNDN); - k = 1; - - /* Invariants: uk ~ u(k-1) and s ~ sum(i=0..k-1, u(i)) */ - for (;;) - { - mpfr_mul_ui5 (uk, uk, 6 * k - 5, 6 * k - 4, 6 * k - 3, 6 * k - 2, - 6 * k - 1, MPFR_RNDN); - mpfr_div_ui8 (uk, uk, k, k, 3 * k - 2, 3 * k - 1, 3 * k, 80, 160, 160, - MPFR_RNDN); - MPFR_CHANGE_SIGN (uk); - - mpfr_add (s, s, uk, MPFR_RNDN); - k++; - if (MPFR_GET_EXP (uk) + prec <= MPFR_GET_EXP (s) + 7) - break; - } - - mpfr_clear (uk); - return; -} - -/* Returns y such that |Gamma(1/3)-y| <= 2^{1-prec}*Gamma(1/3) */ -static void -mpfr_gamma_one_third (mpfr_ptr y, mpfr_prec_t prec) -{ - mpfr_t tmp, tmp2, tmp3; - - mpfr_init2 (tmp, prec + 9); - mpfr_init2 (tmp2, prec + 9); - mpfr_init2 (tmp3, prec + 4); - mpfr_set_prec (y, prec + 2); - - mpfr_const_pi (tmp, MPFR_RNDN); - mpfr_sqr (tmp, tmp, MPFR_RNDN); - mpfr_sqr (tmp, tmp, MPFR_RNDN); - mpfr_mul_ui (tmp, tmp, 12, MPFR_RNDN); - - mpfr_Browns_const (tmp2, prec + 9); - mpfr_mul (tmp, tmp, tmp2, MPFR_RNDN); - - mpfr_set_ui (tmp2, 10, MPFR_RNDN); - mpfr_sqrt (tmp2, tmp2, MPFR_RNDN); - mpfr_div (tmp, tmp, tmp2, MPFR_RNDN); - - mpfr_sqrt (tmp3, tmp, MPFR_RNDN); - mpfr_cbrt (y, tmp3, MPFR_RNDN); - - mpfr_clear (tmp); - mpfr_clear (tmp2); - mpfr_clear (tmp3); - return; -} - -/* Computes y1 and y2 such that: */ -/* |y1-Gamma(1/3)| <= 2^{1-prec}Gamma(1/3) */ -/* and |y2-Gamma(2/3)| <= 2^{1-prec}Gamma(2/3) */ -/* */ -/* Uses the formula Gamma(z)Gamma(1-z) = pi / sin(pi*z) */ -/* to compute Gamma(2/3) from Gamma(1/3). */ -void -mpfr_gamma_one_and_two_third (mpfr_ptr y1, mpfr_ptr y2, mpfr_prec_t prec) -{ - mpfr_t temp; - - mpfr_init2 (temp, prec + 4); - mpfr_set_prec (y2, prec + 4); - - mpfr_gamma_one_third (y1, prec + 4); - - mpfr_set_ui (temp, 3, MPFR_RNDN); - mpfr_sqrt (temp, temp, MPFR_RNDN); - mpfr_mul (temp, y1, temp, MPFR_RNDN); - - mpfr_const_pi (y2, MPFR_RNDN); - mpfr_mul_2ui (y2, y2, 1, MPFR_RNDN); - - mpfr_div (y2, y2, temp, MPFR_RNDN); - - mpfr_clear (temp); -} |