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8.14.5 Arithmetic with unlimited size and precision

The following listing contains the interface of the GMP unit.

This unit provides an interface to the GNU Multiprecision Library to perform arithmetic on integer, rational and real numbers of unlimited size and precision.

To use this unit, you will need the `gmp' library which can be found in http://www.gnu-pascal.de/libs/.

 
{ Definitions for GNU multiple precision functions: arithmetic with
  integer, rational and real numbers of arbitrary size and
  precision.

Translation of the C header (gmp.h) of the GMP library. Tested with GMP 2.0.2 and 3.0.1.

To use the GMP unit, you will need the GMP library which can be found in http://www.gnu-pascal.de/libs/

Copyright (C) 1998-2002 Free Software Foundation, Inc.

Author: Frank Heckenbach <frank@pascal.gnu.de>

This file is part of GNU Pascal.

GNU Pascal is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2, or (at your option) any later version.

GNU Pascal 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 General Public License for more details.

You should have received a copy of the GNU General Public License along with GNU Pascal; see the file COPYING. If not, write to the Free Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.

As a special exception, if you link this file with files compiled with a GNU compiler to produce an executable, this does not cause the resulting executable to be covered by the GNU General Public License. This exception does not however invalidate any other reasons why the executable file might be covered by the GNU General Public License.

Please also note the license of the GMP library. }

{$gnu-pascal,I-} {$if __GPC_RELEASE__ < 20000412} {$error This unit requires GPC release 20000412 or newer.} {$endif} {$nested-comments}

{ If HAVE_GMP3 is set, routines new in GMP 3.x will be made available. The define will have no effect on the other interface changes between GMP 2.x and 3.x, i.e. the other routines will work correctly even if this define is set incorrectly, except on 64 bit machines, Crays and other systems where the types are different between the GMP versions. Otherwise, the only possible problem if setting the define while using GMP 2.x are linking errors if you actually use any of the new routines.

If HAVE_GMP4 is set (the default unless HAVE_GMP2 or HAVE_GMP3 are set, some interface changes made in GMP 4 are taken into account. I.e., if this is set wrong, programs might fail. However, this only affects a few routines related to random numbers. } {$if not defined (HAVE_GMP2) and not defined (HAVE_GMP3)} {$define HAVE_GMP4} {$endif}

unit gmp;

interface

uses GPC;

{$if defined (__mips) and defined (_ABIN32) and defined (HAVE_GMP3)} { Force the use of 64-bit limbs for all 64-bit MIPS CPUs if ABI permits. } {$define _LONG_LONG_LIMB} {$endif}

type {$ifdef _SHORT_LIMB} mp_limb_t = Cardinal; mp_limb_signed_t = Integer; {$elif defined (_LONG_LONG_LIMB)} mp_limb_t = LongCard; mp_limb_signed_t = LongInt; {$else} mp_limb_t = MedCard; mp_limb_signed_t = MedInt; {$endif}

mp_ptr = ^mp_limb_t;

{$if defined (_CRAY) and not defined (_CRAYMPP) and defined (HAVE_GMP3)} mp_size_t = Integer; mp_exp_t = Integer; {$else} mp_size_t = MedInt; mp_exp_t = MedInt; {$endif}

mpz_t = record mp_alloc, mp_size: {$if defined (__MP_SMALL__) and defined (HAVE_GMP3)} ShortInt {$else} Integer {$endif}; mp_d: mp_ptr end;

mpz_array_ptr = ^mpz_array; mpz_array = array [0 .. MaxVarSize div SizeOf (mpz_t)] of mpz_t;

mpq_t = record mp_num, mp_den: mpz_t end;

mpf_t = record mp_prec, mp_size: Integer; mp_exp: mp_exp_t; mp_d: mp_ptr end;

TAllocFunction = function (Size: SizeType): Pointer; TReAllocFunction = function (var Dest: Pointer; OldSize, NewSize: SizeType): Pointer; TDeAllocProcedure = procedure (Src: Pointer; Size: SizeType);

procedure mp_set_memory_functions (AllocFunction: TAllocFunction; ReAllocFunction: TReAllocFunction; DeAllocProcedure: TDeAllocProcedure); asmname '__gmp_set_memory_functions';

function mp_bits_per_limb: Integer; asmname '_p_mp_bits_per_limb';

{**************** Integer (i.e. Z) routines. ****************}

procedure mpz_init (var Dest: mpz_t); asmname '__gmpz_init'; procedure mpz_clear (var Dest: mpz_t); asmname '__gmpz_clear'; function mpz_realloc (var Dest: mpz_t; NewAlloc: mp_size_t): Pointer; asmname '__gmpz_realloc'; procedure mpz_array_init (Dest: mpz_array_ptr; ArraySize, FixedNumBits: mp_size_t); asmname '__gmpz_array_init';

procedure mpz_set (var Dest: mpz_t; protected var Src: mpz_t); asmname '__gmpz_set'; procedure mpz_set_ui (var Dest: mpz_t; Src: MedCard); asmname '__gmpz_set_ui'; procedure mpz_set_si (var Dest: mpz_t; Src: MedInt); asmname '__gmpz_set_si'; procedure mpz_set_d (var Dest: mpz_t; Src: Double); asmname '__gmpz_set_d'; procedure mpz_set_q (var Dest: mpz_t; Src: mpq_t); asmname '__gmpz_set_q'; procedure mpz_set_f (var Dest: mpz_t; Src: mpf_t); asmname '__gmpz_set_f'; function mpz_set_str (var Dest: mpz_t; Src: CString; Base: Integer): Integer; asmname '__gmpz_set_str';

procedure mpz_init_set (var Dest: mpz_t; protected var Src: mpz_t); asmname '__gmpz_init_set'; procedure mpz_init_set_ui (var Dest: mpz_t; Src: MedCard); asmname '__gmpz_init_set_ui'; procedure mpz_init_set_si (var Dest: mpz_t; Src: MedInt); asmname '__gmpz_init_set_si'; procedure mpz_init_set_d (var Dest: mpz_t; Src: Double); asmname '__gmpz_init_set_d'; function mpz_init_set_str (var Dest: mpz_t; Src: CString; Base: Integer): Integer; asmname '__gmpz_init_set_str';

function mpz_get_ui (protected var Src: mpz_t): MedCard; asmname '__gmpz_get_ui'; function mpz_get_si (protected var Src: mpz_t): MedInt; asmname '__gmpz_get_si'; function mpz_get_d (protected var Src: mpz_t): Double; asmname '__gmpz_get_d'; { Pass nil for Dest to let the function allocate memory for it } function mpz_get_str (Dest: CString; Base: Integer; protected var Src: mpz_t): CString; asmname '__gmpz_get_str';

procedure mpz_add (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_add'; procedure mpz_add_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_add_ui'; procedure mpz_sub (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_sub'; procedure mpz_sub_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_sub_ui'; procedure mpz_mul (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_mul'; procedure mpz_mul_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_mul_ui'; procedure mpz_mul_2exp (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_mul_2exp'; procedure mpz_neg (var Dest: mpz_t; protected var Src: mpz_t); asmname '__gmpz_neg'; procedure mpz_abs (var Dest: mpz_t; protected var Src: mpz_t); asmname '__gmpz_abs'; procedure mpz_fac_ui (var Dest: mpz_t; Src: MedCard); asmname '__gmpz_fac_ui';

procedure mpz_tdiv_q (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_tdiv_q'; procedure mpz_tdiv_q_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_tdiv_q_ui'; procedure mpz_tdiv_r (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_tdiv_r'; procedure mpz_tdiv_r_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_tdiv_r_ui'; procedure mpz_tdiv_qr (var DestQ, DestR: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_tdiv_qr'; procedure mpz_tdiv_qr_ui (var DestQ, DestR: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_tdiv_qr_ui';

procedure mpz_fdiv_q (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_fdiv_q'; function mpz_fdiv_q_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_fdiv_q_ui'; procedure mpz_fdiv_r (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_fdiv_r'; function mpz_fdiv_r_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_fdiv_r_ui'; procedure mpz_fdiv_qr (var DestQ, DestR: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_fdiv_qr'; function mpz_fdiv_qr_ui (var DestQ, DestR: mpz_t; protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_fdiv_qr_ui'; function mpz_fdiv_ui (protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_fdiv_ui';

procedure mpz_cdiv_q (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_cdiv_q'; function mpz_cdiv_q_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_cdiv_q_ui'; procedure mpz_cdiv_r (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_cdiv_r'; function mpz_cdiv_r_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_cdiv_r_ui'; procedure mpz_cdiv_qr (var DestQ, DestR: mpz_t; protected var Src1,Src2: mpz_t); asmname '__gmpz_cdiv_qr'; function mpz_cdiv_qr_ui (var DestQ, DestR: mpz_t; protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_cdiv_qr_ui'; function mpz_cdiv_ui (protected var Src1: mpz_t; Src2:MedCard): MedCard; asmname '__gmpz_cdiv_ui';

procedure mpz_mod (var Dest: mpz_t; protected var Src1,Src2: mpz_t); asmname '__gmpz_mod'; procedure mpz_divexact (var Dest: mpz_t; protected var Src1,Src2: mpz_t); asmname '__gmpz_divexact';

procedure mpz_tdiv_q_2exp (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_tdiv_q_2exp'; procedure mpz_tdiv_r_2exp (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_tdiv_r_2exp'; procedure mpz_fdiv_q_2exp (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_fdiv_q_2exp'; procedure mpz_fdiv_r_2exp (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_fdiv_r_2exp';

procedure mpz_powm (var Dest: mpz_t; protected var Base, Exponent, Modulus: mpz_t); asmname '__gmpz_powm'; procedure mpz_powm_ui (var Dest: mpz_t; protected var Base: mpz_t; Exponent: MedCard; protected var Modulus: mpz_t); asmname '__gmpz_powm_ui'; procedure mpz_pow_ui (var Dest: mpz_t; protected var Base: mpz_t; Exponent: MedCard); asmname '__gmpz_pow_ui'; procedure mpz_ui_pow_ui (var Dest: mpz_t; Base, Exponent: MedCard); asmname '__gmpz_ui_pow_ui';

procedure mpz_sqrt (var Dest: mpz_t; protected var Src: mpz_t); asmname '__gmpz_sqrt'; procedure mpz_sqrtrem (var Dest, DestR: mpz_t; protected var Src: mpz_t); asmname '__gmpz_sqrtrem'; function mpz_perfect_square_p (protected var Src: mpz_t): Integer; asmname '__gmpz_perfect_square_p';

function mpz_probab_prime_p (protected var Src: mpz_t; Repetitions: Integer): Integer; asmname '__gmpz_probab_prime_p'; procedure mpz_gcd (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_gcd'; function mpz_gcd_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_gcd_ui'; procedure mpz_gcdext (var Dest, DestA, DestB: mpz_t; protected var SrcA, SrcB: mpz_t); asmname '__gmpz_gcdext'; function mpz_invert (var Dest: mpz_t; protected var Src, Modulus: mpz_t): Integer; asmname '__gmpz_invert'; function mpz_jacobi (protected var Src1, Src2: mpz_t): Integer; asmname '__gmpz_jacobi';

function mpz_cmp (protected var Src1, Src2: mpz_t): Integer; asmname '__gmpz_cmp'; function mpz_cmp_ui (protected var Src1: mpz_t; Src2: MedCard): Integer; asmname '__gmpz_cmp_ui'; function mpz_cmp_si (protected var Src1: mpz_t; Src2: MedInt): Integer; asmname '__gmpz_cmp_si'; function mpz_sgn (protected var Src: mpz_t): Integer;

procedure mpz_and (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_and'; procedure mpz_ior (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_ior'; procedure mpz_com (var Dest: mpz_t; protected var Src: mpz_t); asmname '__gmpz_com'; function mpz_popcount (protected var Src: mpz_t): MedCard; asmname '__gmpz_popcount'; function mpz_hamdist (protected var Src1, Src2: mpz_t): MedCard; asmname '__gmpz_hamdist'; function mpz_scan0 (protected var Src: mpz_t; StartingBit: MedCard): MedCard; asmname '__gmpz_scan0'; function mpz_scan1 (protected var Src: mpz_t; StartingBit: MedCard): MedCard; asmname '__gmpz_scan1'; procedure mpz_setbit (var Dest: mpz_t; BitIndex: MedCard); asmname '__gmpz_setbit'; procedure mpz_clrbit (var Dest: mpz_t; BitIndex: MedCard); asmname '__gmpz_clrbit';

procedure mpz_random (var Dest: mpz_t; MaxSize: mp_size_t); asmname '__gmpz_random'; procedure mpz_random2 (var Dest: mpz_t; MaxSize: mp_size_t); asmname '__gmpz_random2'; function mpz_sizeinbase (protected var Src: mpz_t; Base: Integer): SizeType; asmname '__gmpz_sizeinbase';

{**************** Rational (i.e. Q) routines. ****************}

procedure mpq_canonicalize (var Dest: mpq_t); asmname '__gmpq_canonicalize';

procedure mpq_init (var Dest: mpq_t); asmname '__gmpq_init'; procedure mpq_clear (var Dest: mpq_t); asmname '__gmpq_clear'; procedure mpq_set (var Dest: mpq_t; protected var Src: mpq_t); asmname '__gmpq_set'; procedure mpq_set_z (var Dest: mpq_t; protected var Src: mpz_t); asmname '__gmpq_set_z'; procedure mpq_set_ui (var Dest: mpq_t; Nom, Den: MedCard); asmname '__gmpq_set_ui'; procedure mpq_set_si (var Dest: mpq_t; Nom: MedInt; Den: MedCard); asmname '__gmpq_set_si';

procedure mpq_add (var Dest: mpq_t; protected var Src1, Src2: mpq_t); asmname '__gmpq_add'; procedure mpq_sub (var Dest: mpq_t; protected var Src1, Src2: mpq_t); asmname '__gmpq_sub'; procedure mpq_mul (var Dest: mpq_t; protected var Src1, Src2: mpq_t); asmname '__gmpq_mul'; procedure mpq_div (var Dest: mpq_t; protected var Src1, Src2: mpq_t); asmname '__gmpq_div'; procedure mpq_neg (var Dest: mpq_t; protected var Src: mpq_t); asmname '__gmpq_neg'; procedure mpq_inv (var Dest: mpq_t; protected var Src: mpq_t); asmname '__gmpq_inv';

function mpq_cmp (protected var Src1, Src2: mpq_t): Integer; asmname '__gmpq_cmp'; function mpq_cmp_ui (protected var Src1: mpq_t; Nom2, Den2: MedCard): Integer; asmname '__gmpq_cmp_ui'; function mpq_sgn (protected var Src: mpq_t): Integer; function mpq_equal (protected var Src1, Src2: mpq_t): Integer; asmname '__gmpq_equal';

function mpq_get_d (protected var Src: mpq_t): Double; asmname '__gmpq_get_d'; procedure mpq_set_num (var Dest: mpq_t; protected var Src: mpz_t); asmname '__gmpq_set_num'; procedure mpq_set_den (var Dest: mpq_t; protected var Src: mpz_t); asmname '__gmpq_set_den'; procedure mpq_get_num (var Dest: mpz_t; protected var Src: mpq_t); asmname '__gmpq_get_num'; procedure mpq_get_den (var Dest: mpz_t; protected var Src: mpq_t); asmname '__gmpq_get_den';

{**************** Float (i.e. R) routines. ****************}

procedure mpf_set_default_prec (Precision: MedCard); asmname '__gmpf_set_default_prec'; procedure mpf_init (var Dest: mpf_t); asmname '__gmpf_init'; procedure mpf_init2 (var Dest: mpf_t; Precision: MedCard); asmname '__gmpf_init2'; procedure mpf_clear (var Dest: mpf_t); asmname '__gmpf_clear'; procedure mpf_set_prec (var Dest: mpf_t; Precision: MedCard); asmname '__gmpf_set_prec'; function mpf_get_prec (protected var Src: mpf_t): MedCard; asmname '__gmpf_get_prec'; procedure mpf_set_prec_raw (var Dest: mpf_t; Precision: MedCard); asmname '__gmpf_set_prec_raw';

procedure mpf_set (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_set'; procedure mpf_set_ui (var Dest: mpf_t; Src: MedCard); asmname '__gmpf_set_ui'; procedure mpf_set_si (var Dest: mpf_t; Src: MedInt); asmname '__gmpf_set_si'; procedure mpf_set_d (var Dest: mpf_t; Src: Double); asmname '__gmpf_set_d'; procedure mpf_set_z (var Dest: mpf_t; protected var Src: mpz_t); asmname '__gmpf_set_z'; procedure mpf_set_q (var Dest: mpf_t; protected var Src: mpq_t); asmname '__gmpf_set_q'; function mpf_set_str (var Dest: mpf_t; Src: CString; Base: Integer): Integer; asmname '__gmpf_set_str';

procedure mpf_init_set (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_init_set'; procedure mpf_init_set_ui (var Dest: mpf_t; Src: MedCard); asmname '__gmpf_init_set_ui'; procedure mpf_init_set_si (var Dest: mpf_t; Src: MedInt); asmname '__gmpf_init_set_si'; procedure mpf_init_set_d (var Dest: mpf_t; Src: Double); asmname '__gmpf_init_set_d'; function mpf_init_set_str (var Dest: mpf_t; Src: CString; Base: Integer): Integer; asmname '__gmpf_init_set_str';

function mpf_get_d (protected var Src: mpf_t): Double; asmname '__gmpf_get_d'; { Pass nil for Dest to let the function allocate memory for it } function mpf_get_str (Dest: CString; var Exponent: mp_exp_t; Base: Integer; NumberOfDigits: SizeType; protected var Src: mpf_t): CString; asmname '__gmpf_get_str';

procedure mpf_add (var Dest: mpf_t; protected var Src1, Src2: mpf_t); asmname '__gmpf_add'; procedure mpf_add_ui (var Dest: mpf_t; protected var Src1: mpf_t; Src2: MedCard); asmname '__gmpf_add_ui'; procedure mpf_sub (var Dest: mpf_t; protected var Src1, Src2: mpf_t); asmname '__gmpf_sub'; procedure mpf_ui_sub (var Dest: mpf_t; Src1: MedCard; protected var Src2: mpf_t); asmname '__gmpf_ui_sub'; procedure mpf_sub_ui (var Dest: mpf_t; protected var Src1: mpf_t; Src2: MedCard); asmname '__gmpf_sub_ui'; procedure mpf_mul (var Dest: mpf_t; protected var Src1, Src2: mpf_t); asmname '__gmpf_mul'; procedure mpf_mul_ui (var Dest: mpf_t; protected var Src1: mpf_t; Src2: MedCard); asmname '__gmpf_mul_ui'; procedure mpf_div (var Dest: mpf_t; protected var Src1, Src2: mpf_t); asmname '__gmpf_div'; procedure mpf_ui_div (var Dest: mpf_t; Src1: MedCard; protected var Src2: mpf_t); asmname '__gmpf_ui_div'; procedure mpf_div_ui (var Dest: mpf_t; protected var Src1: mpf_t; Src2: MedCard); asmname '__gmpf_div_ui'; procedure mpf_sqrt (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_sqrt'; procedure mpf_sqrt_ui (var Dest: mpf_t; Src: MedCard); asmname '__gmpf_sqrt_ui'; procedure mpf_neg (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_neg'; procedure mpf_abs (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_abs'; procedure mpf_mul_2exp (var Dest: mpf_t; protected var Src1: mpf_t; Src2: MedCard); asmname '__gmpf_mul_2exp'; procedure mpf_div_2exp (var Dest: mpf_t; protected var Src1: mpf_t; Src2: MedCard); asmname '__gmpf_div_2exp';

function mpf_cmp (protected var Src1, Src2: mpf_t): Integer; asmname '__gmpf_cmp'; function mpf_cmp_si (protected var Src1: mpf_t; Src2: MedInt): Integer; function mpf_cmp_ui (protected var Src1: mpf_t; Src2: MedCard): Integer; function mpf_eq (protected var Src1, Src2: mpf_t; NumberOfBits: MedCard): Integer; asmname '__gmpf_eq'; procedure mpf_reldiff (var Dest: mpf_t; protected var Src1, Src2: mpf_t); asmname '__gmpf_reldiff'; function mpf_sgn (protected var Src: mpf_t): Integer;

procedure mpf_random2 (var Dest: mpf_t; MaxSize: mp_size_t; MaxExp: mp_exp_t); asmname '__gmpf_random2';

{$if False} { @@ commented out because they use C file pointers } function mpz_inp_str (var Dest: mpz_t; Src: CFilePtr; Base: Integer): SizeType; asmname '__gmpz_inp_str'; function mpz_inp_raw (var Dest: mpz_t; Src: CFilePtr): SizeType ; asmname '__gmpz_inp_raw'; function mpz_out_str (Dest: CFilePtr; Base: Integer; protected var Src: mpz_t): SizeType; asmname '__gmpz_out_str'; function mpz_out_raw (Dest: CFilePtr; protected var Src: mpz_t): SizeType ; asmname '__gmpz_out_raw'; { @@ mpf_out_str has a bug in GMP 2.0.2: it writes a spurious #0 before the exponent for negative numbers } function mpf_out_str (Dest: CFilePtr; Base: Integer; NumberOfDigits: SizeType; protected var Src: mpf_t): SizeType; asmname '__gmpf_out_str'; function mpf_inp_str (var Dest: mpf_t; Src: CFilePtr; Base: Integer): SizeType; asmname '__gmpf_inp_str'; {$endif}

{ New declarations in GMP 3.x. @@ Mostly untested! } {$ifdef HAVE_GMP3}

{ Available random number generation algorithms. } type gmp_randalg_t = (GMPRandAlgLC { Linear congruential. });

const GMPRandAlgDefault = GMPRandAlgLC;

{ Linear congruential data struct. } type gmp_randata_lc = record a: mpz_t; { Multiplier. } c: MedCard; { Adder. } m: mpz_t; { Modulus (valid only if m2exp = 0). } m2exp: MedCard; { If <> 0, modulus is 2 ^ m2exp. } end;

type gmp_randstate_t = record Seed: mpz_t; { Current seed. } Alg: gmp_randalg_t; { Algorithm used. } AlgData: record { Algorithm specific data. } case gmp_randalg_t of GMPRandAlgLC: (lc: ^gmp_randata_lc) { Linear congruential. } end end;

procedure gmp_randinit (var State: gmp_randstate_t; Alg: gmp_randalg_t; ...); asmname '__gmp_randinit'; procedure gmp_randinit_lc (var State: gmp_randstate_t; A: {$ifdef HAVE_GMP4} protected var {$endif} mpz_t; C: MedCard; M: {$ifdef HAVE_GMP4} protected var {$endif} mpz_t); asmname '__gmp_randinit_lc'; procedure gmp_randinit_lc_2exp (var State: gmp_randstate_t; A: {$ifdef HAVE_GMP4} protected var {$endif} mpz_t; C: MedCard; M2Exp: MedCard); asmname '__gmp_randinit_lc_2exp'; procedure gmp_randseed (var State: gmp_randstate_t; Seed: mpz_t); asmname '__gmp_randseed'; procedure gmp_randseed_ui (var State: gmp_randstate_t; Seed: MedCard); asmname '__gmp_randseed_ui'; procedure gmp_randclear (var State: gmp_randstate_t); asmname '__gmp_randclear';

procedure mpz_addmul_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_addmul_ui'; procedure mpz_bin_ui (var Dest: mpz_t; protected var Src1: mpz_t; Src2: MedCard); asmname '__gmpz_bin_ui'; procedure mpz_bin_uiui (var Dest: mpz_t; Src1, Src2: MedCard); asmname '__gmpz_bin_uiui'; function mpz_cmpabs (protected var Src1, Src2: mpz_t): Integer; asmname '__gmpz_cmpabs'; function mpz_cmpabs_ui (protected var Src1: mpz_t; Src2: MedCard): Integer; asmname '__gmpz_cmpabs_ui'; procedure mpz_dump (protected var Src: mpz_t); asmname '__gmpz_dump'; procedure mpz_fib_ui (var Dest: mpz_t; Src: MedCard); asmname '__gmpz_fib_ui'; function mpz_fits_sint_p (protected var Src: mpz_t): Integer; asmname '__gmpz_fits_sint_p'; function mpz_fits_slong_p (protected var Src: mpz_t): Integer; asmname '__gmpz_fits_slong_p'; function mpz_fits_sshort_p (protected var Src: mpz_t): Integer; asmname '__gmpz_fits_sshort_p'; function mpz_fits_uint_p (protected var Src: mpz_t): Integer; asmname '__gmpz_fits_uint_p'; function mpz_fits_ulong_p (protected var Src: mpz_t): Integer; asmname '__gmpz_fits_ulong_p'; function mpz_fits_ushort_p (protected var Src: mpz_t): Integer; asmname '__gmpz_fits_ushort_p'; procedure mpz_lcm (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_lcm'; procedure mpz_nextprime (var Dest: mpz_t; protected var Src: mpz_t); asmname '__gmpz_nextprime'; function mpz_perfect_power_p (protected var Src: mpz_t): Integer; asmname '__gmpz_perfect_power_p'; function mpz_remove (var Dest: mpz_t; protected var Src1, Src2: mpz_t): MedCard; asmname '__gmpz_remove'; function mpz_root (var Dest: mpz_t; protected var Src: mpz_t; N: MedCard): Integer; asmname '__gmpz_root'; procedure mpz_rrandomb (var ROP: mpz_t; var State: gmp_randstate_t; N: MedCard); asmname '__gmpz_rrandomb'; procedure mpz_swap (var v1, v2: mpz_t); asmname '__gmpz_swap'; function mpz_tdiv_ui (protected var Src1: mpz_t; Src2: MedCard): MedCard; asmname '__gmpz_tdiv_ui'; function mpz_tstbit (protected var Src1: mpz_t; Src2: MedCard): Integer; asmname '__gmpz_tstbit'; procedure mpz_urandomb ({$ifdef HAVE_GMP4} var {$endif} ROP: mpz_t; var State: gmp_randstate_t; N: MedCard); asmname '__gmpz_urandomb'; procedure mpz_urandomm ({$ifdef HAVE_GMP4} var {$endif} ROP: mpz_t; var State: gmp_randstate_t; {$ifdef HAVE_GMP4} protected var {$endif} N: mpz_t); asmname '__gmpz_urandomm'; procedure mpz_xor (var Dest: mpz_t; protected var Src1, Src2: mpz_t); asmname '__gmpz_xor';

procedure mpq_set_d (var Dest: mpq_t; Src: Double); asmname '__gmpq_set_d';

procedure mpf_ceil (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_ceil'; procedure mpf_floor (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_floor'; procedure mpf_pow_ui (var Dest: mpf_t; protected var Src1: mpf_t; Src2: MedCard); asmname '__gmpf_pow_ui'; procedure mpf_trunc (var Dest: mpf_t; protected var Src: mpf_t); asmname '__gmpf_trunc'; procedure mpf_urandomb (ROP: mpf_t; var State: gmp_randstate_t; N: MedCard); asmname '__gmpf_urandomb';

const GMPErrorNone = 0; GMPErrorUnsupportedArgument = 1; GMPErrorDivisionByZero = 2; GMPErrorSqrtOfNegative = 4; GMPErrorInvalidArgument = 8; GMPErrorAllocate = 16;

var gmp_errno: Integer; asmname '__gmp_errno'; external;

{$endif}

{ Extensions to the GMP library, implemented in this unit }

procedure mpf_exp (var Dest: mpf_t; protected var Src: mpf_t); procedure mpf_ln (var Dest: mpf_t; protected var Src: mpf_t); procedure mpf_pow (var Dest: mpf_t; protected var Src1, Src2: mpf_t); procedure mpf_arctan (var c: mpf_t; protected var x: mpf_t); procedure mpf_pi (var c: mpf_t);


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