/usr/include/flint/fmpz_lll.h is in libflint-dev 2.5.2-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 | /*=============================================================================
This file is part of FLINT.
FLINT 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 of the License, or
(at your option) any later version.
FLINT 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 FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2009, 2010 William Hart
Copyright (C) 2009, 2010 Andy Novocin
Copyright (C) 2014 Abhinav Baid
******************************************************************************/
#ifndef FMPZ_LLL_H
#define FMPZ_LLL_H
#ifdef FMPZ_LLL_INLINES_C
#define FMPZ_LLL_INLINE FLINT_DLL
#else
#define FMPZ_LLL_INLINE static __inline__
#endif
#include <stdio.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz_mat.h"
#include "d_mat.h"
#include "mpf_mat.h"
#ifdef __cplusplus
extern "C" {
#endif
#if FLINT_BITS == 32
#define CPU_SIZE_1 31
#define FMPZ_LLL_MAX_LONG 2147483647
#else
#define CPU_SIZE_1 53
#define FMPZ_LLL_MAX_LONG 9007199254740991
#endif
#define SIZE_RED_FAILURE_THRESH 5
typedef enum
{
GRAM,
Z_BASIS
} rep_type;
typedef enum
{
APPROX,
EXACT
} gram_type;
typedef struct
{
double delta;
double eta;
rep_type rt;
gram_type gt;
} fmpz_lll_struct;
typedef fmpz_lll_struct fmpz_lll_t[1];
typedef union
{
d_mat_t appSP;
mpf_mat_t appSP2;
fmpz_mat_t exactSP;
} fmpz_gram_union;
typedef fmpz_gram_union fmpz_gram_t[1];
/* Parameter manipulation ***************************************************/
FLINT_DLL void fmpz_lll_context_init_default(fmpz_lll_t fl);
FLINT_DLL void fmpz_lll_context_init(fmpz_lll_t fl, double delta, double eta,
rep_type rt, gram_type gt);
/* Random parameter generation **********************************************/
FLINT_DLL void fmpz_lll_randtest(fmpz_lll_t fl, flint_rand_t state);
/* The various Babai's ******************************************************/
FLINT_DLL double fmpz_lll_heuristic_dot(const double * vec1, const double * vec2, slong len2,
const fmpz_mat_t B, slong k, slong j, slong exp_adj);
FLINT_DLL int fmpz_lll_check_babai(int kappa, fmpz_mat_t B, fmpz_mat_t U, d_mat_t mu, d_mat_t r, double *s,
d_mat_t appB, int *expo, fmpz_gram_t A,
int a, int zeros, int kappamax, int n, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_check_babai_heuristic_d(int kappa, fmpz_mat_t B, fmpz_mat_t U, d_mat_t mu, d_mat_t r, double *s,
d_mat_t appB, int *expo, fmpz_gram_t A,
int a, int zeros, int kappamax, int n, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_shift(const fmpz_mat_t B);
FLINT_DLL int fmpz_lll_d(fmpz_mat_t B, fmpz_mat_t U, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_d_heuristic(fmpz_mat_t B, fmpz_mat_t U, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_check_babai_heuristic(int kappa, fmpz_mat_t B, fmpz_mat_t U, mpf_mat_t mu, mpf_mat_t r, mpf *s,
mpf_mat_t appB, fmpz_gram_t A,
int a, int zeros, int kappamax, int n, mpf_t tmp, mpf_t rtmp, mp_bitcnt_t prec, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_mpf2(fmpz_mat_t B, fmpz_mat_t U, mp_bitcnt_t prec, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_mpf(fmpz_mat_t B, fmpz_mat_t U, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_wrapper(fmpz_mat_t B, fmpz_mat_t U, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_advance_check_babai(int cur_kappa, int kappa, fmpz_mat_t B, fmpz_mat_t U, d_mat_t mu, d_mat_t r, double *s,
d_mat_t appB, int *expo, fmpz_gram_t A,
int a, int zeros, int kappamax, int n, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_advance_check_babai_heuristic_d(int cur_kappa, int kappa, fmpz_mat_t B, fmpz_mat_t U, d_mat_t mu, d_mat_t r, double *s,
d_mat_t appB, int *expo, fmpz_gram_t A,
int a, int zeros, int kappamax, int n, const fmpz_lll_t fl);
/* LLL with removals ********************************************************/
FLINT_DLL int fmpz_lll_d_with_removal(fmpz_mat_t B, fmpz_mat_t U, const fmpz_t gs_B, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_d_heuristic_with_removal(fmpz_mat_t B, fmpz_mat_t U, const fmpz_t gs_B, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_mpf2_with_removal(fmpz_mat_t B, fmpz_mat_t U, mp_bitcnt_t prec, const fmpz_t gs_B, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_mpf_with_removal(fmpz_mat_t B, fmpz_mat_t U, const fmpz_t gs_B, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_wrapper_with_removal(fmpz_mat_t B, fmpz_mat_t U, const fmpz_t gs_B, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_d_with_removal_knapsack(fmpz_mat_t B, fmpz_mat_t U, const fmpz_t gs_B, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_wrapper_with_removal_knapsack(fmpz_mat_t B, fmpz_mat_t U, const fmpz_t gs_B, const fmpz_lll_t fl);
/* ULLL *********************************************************************/
FLINT_DLL int fmpz_lll_with_removal_ulll(fmpz_mat_t FM, fmpz_mat_t UM, slong new_size, const fmpz_t gs_B, const fmpz_lll_t fl);
/* LLL-reducedness ***********************************************************/
FLINT_DLL int fmpz_lll_is_reduced_d(const fmpz_mat_t B, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_is_reduced_mpfr(const fmpz_mat_t B, const fmpz_lll_t fl, mp_bitcnt_t prec);
FLINT_DLL int fmpz_lll_is_reduced(const fmpz_mat_t B, const fmpz_lll_t fl, mp_bitcnt_t prec);
FLINT_DLL int fmpz_lll_is_reduced_d_with_removal(const fmpz_mat_t B, const fmpz_lll_t fl, const fmpz_t gs_B, int newd);
FLINT_DLL int fmpz_lll_is_reduced_mpfr_with_removal(const fmpz_mat_t B, const fmpz_lll_t fl, const fmpz_t gs_B, int newd,mp_bitcnt_t prec);
FLINT_DLL int fmpz_lll_is_reduced_with_removal(const fmpz_mat_t B, const fmpz_lll_t fl, const fmpz_t gs_B, int newd, mp_bitcnt_t prec);
/* Default functions *********************************************************/
FLINT_DLL void fmpz_lll(fmpz_mat_t B, fmpz_mat_t U, const fmpz_lll_t fl);
FLINT_DLL int fmpz_lll_with_removal(fmpz_mat_t B, fmpz_mat_t U, const fmpz_t gs_B, const fmpz_lll_t fl);
/* Modified ULLL ************************************************************/
FLINT_DLL void fmpz_lll_storjohann_ulll(fmpz_mat_t FM, slong new_size, const fmpz_lll_t fl);
#ifdef __cplusplus
}
#endif
#endif
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