[1166] | 1 | /* mpc.h -- Include file for mpc.
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| 2 |
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| 3 | Copyright (C) 2002, 2003, 2004, 2005, 2007, 2008, 2009, 2010, 2011, 2012, 2016, 2017, 2018, 2020 INRIA
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| 4 |
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| 5 | This file is part of GNU MPC.
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| 6 |
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| 7 | GNU MPC is free software; you can redistribute it and/or modify it under
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| 8 | the terms of the GNU Lesser General Public License as published by the
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| 9 | Free Software Foundation; either version 3 of the License, or (at your
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| 10 | option) any later version.
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| 11 |
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| 12 | GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
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| 13 | WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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| 14 | FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
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| 15 | more details.
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| 16 |
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| 17 | You should have received a copy of the GNU Lesser General Public License
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| 18 | along with this program. If not, see http://www.gnu.org/licenses/ .
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| 19 | */
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| 20 |
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| 21 | #ifndef __MPC_H
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| 22 | #define __MPC_H
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| 23 |
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| 24 | #include "gmp.h"
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| 25 | #include "mpfr.h"
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| 26 |
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| 27 | /* Define MPC version number */
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| 28 | #define MPC_VERSION_MAJOR 1
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| 29 | #define MPC_VERSION_MINOR 2
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| 30 | #define MPC_VERSION_PATCHLEVEL 1
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| 31 | #define MPC_VERSION_STRING "1.2.1"
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| 32 |
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| 33 | /* Macros dealing with MPC VERSION */
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| 34 | #define MPC_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c))
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| 35 | #define MPC_VERSION \
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| 36 | MPC_VERSION_NUM(MPC_VERSION_MAJOR,MPC_VERSION_MINOR,MPC_VERSION_PATCHLEVEL)
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| 37 |
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| 38 | /* Check if stdint.h/inttypes.h is included */
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| 39 | #if defined (INTMAX_C) && defined (UINTMAX_C)
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| 40 | #define _MPC_H_HAVE_INTMAX_T 1
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| 41 | #endif
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| 42 |
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| 43 | /* Return values */
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| 44 |
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| 45 | /* Transform negative to 2, positive to 1, leave 0 unchanged.
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| 46 | Warning: since inex is evaluated two times, we should avoid
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| 47 | MPC_INEX(mpc_mul (...), mpc_mul (...)) */
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| 48 | #define MPC_INEX_POS(inex) (((inex) < 0) ? 2 : ((inex) == 0) ? 0 : 1)
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| 49 | /* Transform 2 to negative, 1 to positive, leave 0 unchanged */
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| 50 | #define MPC_INEX_NEG(inex) (((inex) == 2) ? -1 : ((inex) == 0) ? 0 : 1)
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| 51 |
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| 52 | /* The global inexact flag is made of (real flag) + 4 * (imaginary flag), where
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| 53 | each of the real and imaginary inexact flag are:
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| 54 | 0 when the result is exact (no rounding error)
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| 55 | 1 when the result is larger than the exact value
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| 56 | 2 when the result is smaller than the exact value */
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| 57 | #define MPC_INEX(inex_re, inex_im) \
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| 58 | (MPC_INEX_POS(inex_re) | (MPC_INEX_POS(inex_im) << 2))
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| 59 | #define MPC_INEX_RE(inex) MPC_INEX_NEG((inex) & 3)
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| 60 | #define MPC_INEX_IM(inex) MPC_INEX_NEG((inex) >> 2)
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| 61 |
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| 62 | /* For functions computing two results, the return value is
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| 63 | inexact1+16*inexact2, which is 0 iif both results are exact. */
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| 64 | #define MPC_INEX12(inex1, inex2) (inex1 | (inex2 << 4))
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| 65 | #define MPC_INEX1(inex) (inex & 15)
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| 66 | #define MPC_INEX2(inex) (inex >> 4)
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| 67 |
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| 68 | /* Definition of rounding modes */
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| 69 |
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| 70 | /* a complex rounding mode is just a pair of two real rounding modes
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| 71 | we reserve four bits for a real rounding mode. */
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| 72 | typedef int mpc_rnd_t;
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| 73 |
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| 74 | #define MPC_RND(r1,r2) (((int)(r1)) + ((int)(r2) << 4))
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| 75 | #define MPC_RND_RE(x) ((mpfr_rnd_t)((x) & 0x0F))
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| 76 | #define MPC_RND_IM(x) ((mpfr_rnd_t)((x) >> 4))
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| 77 |
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| 78 | #define MPC_RNDNN MPC_RND (MPFR_RNDN,MPFR_RNDN)
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| 79 | #define MPC_RNDNZ MPC_RND (MPFR_RNDN,MPFR_RNDZ)
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| 80 | #define MPC_RNDNU MPC_RND (MPFR_RNDN,MPFR_RNDU)
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| 81 | #define MPC_RNDND MPC_RND (MPFR_RNDN,MPFR_RNDD)
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| 82 |
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| 83 | #define MPC_RNDZN MPC_RND (MPFR_RNDZ,MPFR_RNDN)
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| 84 | #define MPC_RNDZZ MPC_RND (MPFR_RNDZ,MPFR_RNDZ)
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| 85 | #define MPC_RNDZU MPC_RND (MPFR_RNDZ,MPFR_RNDU)
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| 86 | #define MPC_RNDZD MPC_RND (MPFR_RNDZ,MPFR_RNDD)
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| 87 |
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| 88 | #define MPC_RNDUN MPC_RND (MPFR_RNDU,MPFR_RNDN)
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| 89 | #define MPC_RNDUZ MPC_RND (MPFR_RNDU,MPFR_RNDZ)
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| 90 | #define MPC_RNDUU MPC_RND (MPFR_RNDU,MPFR_RNDU)
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| 91 | #define MPC_RNDUD MPC_RND (MPFR_RNDU,MPFR_RNDD)
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| 92 |
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| 93 | #define MPC_RNDDN MPC_RND (MPFR_RNDD,MPFR_RNDN)
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| 94 | #define MPC_RNDDZ MPC_RND (MPFR_RNDD,MPFR_RNDZ)
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| 95 | #define MPC_RNDDU MPC_RND (MPFR_RNDD,MPFR_RNDU)
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| 96 | #define MPC_RNDDD MPC_RND (MPFR_RNDD,MPFR_RNDD)
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| 97 |
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| 98 |
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| 99 | /* Definitions of types and their semantics */
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| 100 |
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| 101 | typedef struct {
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| 102 | mpfr_t re;
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| 103 | mpfr_t im;
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| 104 | }
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| 105 | __mpc_struct;
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| 106 |
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| 107 | typedef __mpc_struct mpc_t[1];
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| 108 | typedef __mpc_struct *mpc_ptr;
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| 109 | typedef const __mpc_struct *mpc_srcptr;
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| 110 |
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| 111 | /* Support for WINDOWS DLL, see
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| 112 | http://lists.gforge.inria.fr/pipermail/mpc-discuss/2011-November/000990.html;
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| 113 | when building the DLL, export symbols, otherwise behave as GMP */
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| 114 | #if defined (__MPC_LIBRARY_BUILD) && __GMP_LIBGMP_DLL
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| 115 | #define __MPC_DECLSPEC __GMP_DECLSPEC_EXPORT
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| 116 | #else
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| 117 | #define __MPC_DECLSPEC __GMP_DECLSPEC
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| 118 | #endif
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| 119 |
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| 120 | #if defined (__cplusplus)
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| 121 | extern "C" {
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| 122 | #endif
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| 123 |
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| 124 | __MPC_DECLSPEC int mpc_add (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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| 125 | __MPC_DECLSPEC int mpc_add_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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| 126 | __MPC_DECLSPEC int mpc_add_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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| 127 | __MPC_DECLSPEC int mpc_add_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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| 128 | __MPC_DECLSPEC int mpc_sub (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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| 129 | __MPC_DECLSPEC int mpc_sub_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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| 130 | __MPC_DECLSPEC int mpc_fr_sub (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t);
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| 131 | __MPC_DECLSPEC int mpc_sub_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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| 132 | __MPC_DECLSPEC int mpc_ui_ui_sub (mpc_ptr, unsigned long int, unsigned long int, mpc_srcptr, mpc_rnd_t);
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| 133 | __MPC_DECLSPEC int mpc_mul (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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| 134 | __MPC_DECLSPEC int mpc_mul_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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| 135 | __MPC_DECLSPEC int mpc_mul_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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| 136 | __MPC_DECLSPEC int mpc_mul_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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| 137 | __MPC_DECLSPEC int mpc_mul_i (mpc_ptr, mpc_srcptr, int, mpc_rnd_t);
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| 138 | __MPC_DECLSPEC int mpc_sqr (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 139 | __MPC_DECLSPEC int mpc_div (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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| 140 | __MPC_DECLSPEC int mpc_pow (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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| 141 | __MPC_DECLSPEC int mpc_pow_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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| 142 | __MPC_DECLSPEC int mpc_pow_ld (mpc_ptr, mpc_srcptr, long double, mpc_rnd_t);
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| 143 | __MPC_DECLSPEC int mpc_pow_d (mpc_ptr, mpc_srcptr, double, mpc_rnd_t);
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| 144 | __MPC_DECLSPEC int mpc_pow_si (mpc_ptr, mpc_srcptr, long, mpc_rnd_t);
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| 145 | __MPC_DECLSPEC int mpc_pow_ui (mpc_ptr, mpc_srcptr, unsigned long, mpc_rnd_t);
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| 146 | __MPC_DECLSPEC int mpc_pow_z (mpc_ptr, mpc_srcptr, mpz_srcptr, mpc_rnd_t);
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| 147 | __MPC_DECLSPEC int mpc_div_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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| 148 | __MPC_DECLSPEC int mpc_fr_div (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t);
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| 149 | __MPC_DECLSPEC int mpc_div_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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| 150 | __MPC_DECLSPEC int mpc_ui_div (mpc_ptr, unsigned long int, mpc_srcptr, mpc_rnd_t);
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| 151 | __MPC_DECLSPEC int mpc_div_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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| 152 | __MPC_DECLSPEC int mpc_mul_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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| 153 | __MPC_DECLSPEC int mpc_div_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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| 154 | __MPC_DECLSPEC int mpc_mul_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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| 155 | __MPC_DECLSPEC int mpc_conj (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 156 | __MPC_DECLSPEC int mpc_neg (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 157 | __MPC_DECLSPEC int mpc_sum (mpc_ptr, const mpc_ptr *, unsigned long, mpc_rnd_t);
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| 158 | __MPC_DECLSPEC int mpc_dot (mpc_ptr, const mpc_ptr *, const mpc_ptr *, unsigned long, mpc_rnd_t);
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| 159 | __MPC_DECLSPEC int mpc_norm (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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| 160 | __MPC_DECLSPEC int mpc_abs (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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| 161 | __MPC_DECLSPEC int mpc_sqrt (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 162 | __MPC_DECLSPEC int mpc_set (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 163 | __MPC_DECLSPEC int mpc_set_d (mpc_ptr, double, mpc_rnd_t);
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| 164 | __MPC_DECLSPEC int mpc_set_d_d (mpc_ptr, double, double, mpc_rnd_t);
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| 165 | __MPC_DECLSPEC int mpc_set_ld (mpc_ptr, long double, mpc_rnd_t);
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| 166 | __MPC_DECLSPEC int mpc_set_ld_ld (mpc_ptr, long double, long double, mpc_rnd_t);
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| 167 | __MPC_DECLSPEC int mpc_set_f (mpc_ptr, mpf_srcptr, mpc_rnd_t);
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| 168 | __MPC_DECLSPEC int mpc_set_f_f (mpc_ptr, mpf_srcptr, mpf_srcptr, mpc_rnd_t);
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| 169 | __MPC_DECLSPEC int mpc_set_fr (mpc_ptr, mpfr_srcptr, mpc_rnd_t);
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| 170 | __MPC_DECLSPEC int mpc_set_fr_fr (mpc_ptr, mpfr_srcptr, mpfr_srcptr, mpc_rnd_t);
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| 171 | __MPC_DECLSPEC int mpc_set_q (mpc_ptr, mpq_srcptr, mpc_rnd_t);
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| 172 | __MPC_DECLSPEC int mpc_set_q_q (mpc_ptr, mpq_srcptr, mpq_srcptr, mpc_rnd_t);
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| 173 | __MPC_DECLSPEC int mpc_set_si (mpc_ptr, long int, mpc_rnd_t);
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| 174 | __MPC_DECLSPEC int mpc_set_si_si (mpc_ptr, long int, long int, mpc_rnd_t);
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| 175 | __MPC_DECLSPEC int mpc_set_ui (mpc_ptr, unsigned long int, mpc_rnd_t);
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| 176 | __MPC_DECLSPEC int mpc_set_ui_ui (mpc_ptr, unsigned long int, unsigned long int, mpc_rnd_t);
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| 177 | __MPC_DECLSPEC int mpc_set_z (mpc_ptr, mpz_srcptr, mpc_rnd_t);
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| 178 | __MPC_DECLSPEC int mpc_set_z_z (mpc_ptr, mpz_srcptr, mpz_srcptr, mpc_rnd_t);
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| 179 | __MPC_DECLSPEC void mpc_swap (mpc_ptr, mpc_ptr);
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| 180 | __MPC_DECLSPEC int mpc_fma (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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| 181 |
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| 182 | __MPC_DECLSPEC void mpc_set_nan (mpc_ptr);
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| 183 |
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| 184 | __MPC_DECLSPEC int mpc_real (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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| 185 | __MPC_DECLSPEC int mpc_imag (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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| 186 | __MPC_DECLSPEC int mpc_arg (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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| 187 | __MPC_DECLSPEC int mpc_proj (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 188 | __MPC_DECLSPEC int mpc_cmp (mpc_srcptr, mpc_srcptr);
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| 189 | __MPC_DECLSPEC int mpc_cmp_si_si (mpc_srcptr, long int, long int);
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| 190 | __MPC_DECLSPEC int mpc_cmp_abs (mpc_srcptr, mpc_srcptr);
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| 191 | __MPC_DECLSPEC int mpc_exp (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 192 | __MPC_DECLSPEC int mpc_log (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 193 | __MPC_DECLSPEC int mpc_log10 (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 194 | __MPC_DECLSPEC int mpc_sin (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 195 | __MPC_DECLSPEC int mpc_cos (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 196 | __MPC_DECLSPEC int mpc_sin_cos (mpc_ptr, mpc_ptr, mpc_srcptr, mpc_rnd_t, mpc_rnd_t);
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| 197 | __MPC_DECLSPEC int mpc_tan (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 198 | __MPC_DECLSPEC int mpc_sinh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 199 | __MPC_DECLSPEC int mpc_cosh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 200 | __MPC_DECLSPEC int mpc_tanh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 201 | __MPC_DECLSPEC int mpc_asin (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 202 | __MPC_DECLSPEC int mpc_acos (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 203 | __MPC_DECLSPEC int mpc_atan (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 204 | __MPC_DECLSPEC int mpc_asinh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 205 | __MPC_DECLSPEC int mpc_acosh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 206 | __MPC_DECLSPEC int mpc_atanh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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| 207 | __MPC_DECLSPEC int mpc_rootofunity (mpc_ptr, unsigned long int, unsigned long int, mpc_rnd_t);
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| 208 | __MPC_DECLSPEC void mpc_clear (mpc_ptr);
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| 209 | __MPC_DECLSPEC int mpc_urandom (mpc_ptr, gmp_randstate_t);
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| 210 | __MPC_DECLSPEC void mpc_init2 (mpc_ptr, mpfr_prec_t);
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| 211 | __MPC_DECLSPEC void mpc_init3 (mpc_ptr, mpfr_prec_t, mpfr_prec_t);
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| 212 | __MPC_DECLSPEC mpfr_prec_t mpc_get_prec (mpc_srcptr x);
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| 213 | __MPC_DECLSPEC void mpc_get_prec2 (mpfr_prec_t *pr, mpfr_prec_t *pi, mpc_srcptr x);
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| 214 | __MPC_DECLSPEC void mpc_set_prec (mpc_ptr, mpfr_prec_t);
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| 215 | __MPC_DECLSPEC const char * mpc_get_version (void);
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| 216 |
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| 217 | __MPC_DECLSPEC int mpc_strtoc (mpc_ptr, const char *, char **, int, mpc_rnd_t);
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| 218 | __MPC_DECLSPEC int mpc_set_str (mpc_ptr, const char *, int, mpc_rnd_t);
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| 219 | __MPC_DECLSPEC char * mpc_get_str (int, size_t, mpc_srcptr, mpc_rnd_t);
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| 220 | __MPC_DECLSPEC void mpc_free_str (char *);
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| 221 |
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| 222 | /* declare certain functions only if appropriate headers have been included */
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| 223 | #ifdef _MPC_H_HAVE_INTMAX_T
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| 224 | __MPC_DECLSPEC int mpc_set_sj (mpc_ptr, intmax_t, mpc_rnd_t);
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| 225 | __MPC_DECLSPEC int mpc_set_uj (mpc_ptr, uintmax_t, mpc_rnd_t);
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| 226 | __MPC_DECLSPEC int mpc_set_sj_sj (mpc_ptr, intmax_t, intmax_t, mpc_rnd_t);
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| 227 | __MPC_DECLSPEC int mpc_set_uj_uj (mpc_ptr, uintmax_t, uintmax_t, mpc_rnd_t);
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| 228 | #endif
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| 229 |
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| 230 | #ifdef _Complex_I
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| 231 | __MPC_DECLSPEC int mpc_set_dc (mpc_ptr, double _Complex, mpc_rnd_t);
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| 232 | __MPC_DECLSPEC int mpc_set_ldc (mpc_ptr, long double _Complex, mpc_rnd_t);
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| 233 | __MPC_DECLSPEC double _Complex mpc_get_dc (mpc_srcptr, mpc_rnd_t);
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| 234 | __MPC_DECLSPEC long double _Complex mpc_get_ldc (mpc_srcptr, mpc_rnd_t);
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| 235 | #endif
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| 236 |
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| 237 | #ifdef _GMP_H_HAVE_FILE
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| 238 | __MPC_DECLSPEC int mpc_inp_str (mpc_ptr, FILE *, size_t *, int, mpc_rnd_t);
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| 239 | __MPC_DECLSPEC size_t mpc_out_str (FILE *, int, size_t, mpc_srcptr, mpc_rnd_t);
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| 240 | #endif
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| 241 |
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| 242 | #if defined (__cplusplus)
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| 243 | }
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| 244 | #endif
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| 245 |
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| 246 | #define mpc_realref(x) ((x)->re)
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| 247 | #define mpc_imagref(x) ((x)->im)
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| 248 |
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| 249 | #define mpc_cmp_si(x, y) \
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| 250 | ( mpc_cmp_si_si ((x), (y), 0l) )
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| 251 | #define mpc_ui_sub(x, y, z, r) mpc_ui_ui_sub (x, y, 0ul, z, r)
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| 252 |
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| 253 | /*
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| 254 | Define a fake mpfr_set_fr so that, for instance, mpc_set_fr_z would
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| 255 | be defined as follows:
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| 256 | mpc_set_fr_z (mpc_t rop, mpfr_t x, mpz_t y, mpc_rnd_t rnd)
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| 257 | MPC_SET_X_Y (fr, z, rop, x, y, rnd)
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| 258 | */
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| 259 | #ifndef mpfr_set_fr
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| 260 | #define mpfr_set_fr mpfr_set
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| 261 | #endif
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| 262 | #define MPC_SET_X_Y(real_t, imag_t, z, real_value, imag_value, rnd) \
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| 263 | { \
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| 264 | int _inex_re, _inex_im; \
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| 265 | _inex_re = (mpfr_set_ ## real_t) (mpc_realref (z), (real_value), MPC_RND_RE (rnd)); \
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| 266 | _inex_im = (mpfr_set_ ## imag_t) (mpc_imagref (z), (imag_value), MPC_RND_IM (rnd)); \
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| 267 | return MPC_INEX (_inex_re, _inex_im); \
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| 268 | }
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| 269 |
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| 270 | #endif /* ifndef __MPC_H */
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