/usr/include/linbox/field/NTL/ntl-ZZ_pE.h is in liblinbox-dev 1.3.2-1.1build2.
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 | /* Copyright (C) LinBox
*
*
*
* ========LICENCE========
* This file is part of the library LinBox.
*
* LinBox 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 2.1 of the License, or (at your option) any later version.
*
* This 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 this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
* ========LICENCE========
*/
/*! @file field/NTL/ntl-ZZ_pE.h
* @ingroup field
* @ingroup NTL
* @brief NO DOC
*/
#ifndef __LINBOX_field_ntl_zz_pe_H
#define __LINBOX_field_ntl_zz_pe_H
#ifndef __LINBOX_HAVE_NTL
#error "you need NTL here"
#endif
#include <time.h>
#include "linbox/linbox-config.h"
#include "linbox/util/debug.h"
#include <NTL/ZZ_pXFactoring.h>
#include <NTL/ZZ_pE.h>
#include <NTL/ZZ.h>
#include "linbox/field/unparametric.h"
#include "linbox/randiter/unparametric.h"
#include "linbox/field/field-traits.h"
#ifdef __LINBOX_XMLENABLED
#include "linbox/util/xml/linbox-reader.h"
#include "linbox/util/xml/linbox-writer.h"
#include <iostream>
#include <sstream>
#include <string>
#include <vector>
#endif //__LINBOX_XMLENABLED
#include "linbox/integer.h"
namespace Givaro
{
template<>
NTL::ZZ_pE& Caster(NTL::ZZ_pE &x, const Integer &y)
{
x=NTL::to_ZZ_pE(static_cast<long>(y));
return x;
}
template<>
NTL::ZZ_pE& Caster(NTL::ZZ_pE &x, const double &y)
{
x=NTL::to_ZZ_pE(static_cast<long>(y));
return x;
}
// Rich Seagraves, 7-15-03
// On the orders of Dr Saunders, I'm re-writing init & convert so that
// they convert a ZZpE into a padic number, ie a0 + a1x + a2x^2 +... ->
// a0 + a1*p + a2*p^2 + ...
//
Integer& Caster(Integer& c, const NTL::ZZ_pE& e)
{
NTL::ZZ_pX poly = rep(e);
//Integer base = _p;
Integer base = static_cast<Integer>(to_long(NTL::ZZ_p::modulus()));
long i;
c = 0;
for(i = deg(poly); i >= 0; --i) {
c *= base;
c += NTL::to_long(rep(coeff(poly, i)));
}
return c;
}
} // namespace Givaro
// Namespace in which all LinBox library code resides
namespace LinBox
{
class NTL_ZZ_pE_Initialiser {
public :
NTL_ZZ_pE_Initialiser( const Integer & p, size_t k ) {
// linbox_check(e == 1);
// if ( q > 0 )
// NTL::ZZ_p::init(NTL::to_ZZ((std::string(q)).data())); // it's an error if q not prime, e not 1
NTL::ZZ_p::init(NTL::to_ZZ(std::string(p).data()));
NTL::ZZ_pX irredPoly = NTL::BuildIrred_ZZ_pX ((long) k);
NTL::ZZ_pE::init(irredPoly);
}
// template <class ElementInt>
// NTL_ZZ_pE_Initialiser(const ElementInt& d) {
// NTL::ZZ_p::init (NTL::to_ZZ(d));
// }
// NTL_ZZ_pE_Initialiser (const NTL::ZZ& d) {
// NTL::ZZ_p::init(d);
// }
};
/**
* @brief Wrapper of ZZ_pE from NTL
* Define a parameterized class to handle easily UnparametricField<NTL::ZZ_pE> field
*/
class NTL_ZZ_pE : public NTL_ZZ_pE_Initialiser, public UnparametricOperations<NTL::ZZ_pE> {
public:
typedef NTL::ZZ_pE Element ;
typedef FFPACK::UnparametricOperations<Element> Father_t ;
const Element zero,one,mOne ;
NTL_ZZ_pE (const integer &p, const integer &k) :
NTL_ZZ_pE_Initialiser(p,k),Father_t ()
,zero( NTL::to_ZZ_pE(0)),one( NTL::to_ZZ_pE(1)),mOne(-one)
{
}
bool isZero (const Element& a) const
{
return NTL::IsZero(a);
}
bool isOne (const Element& a) const
{
return NTL::IsOne(a);
}
integer& characteristic (integer &c) const
{
return c=static_cast<integer>(to_long(NTL::ZZ_p::modulus()));
//NTL::ZZ_p::modulus();
}
integer& cardinality(integer& c) const
{
c=static_cast<integer>(to_long(NTL::ZZ_p::modulus()));
c=pow(c,Element::degree());
return c;
}
Element& inv(Element& x, const Element& y) const
{
x=NTL::to_ZZ_pE(1)/y;
return x;
}
Element& invin(Element& x) const
{
x=NTL::to_ZZ_pE(1)/x;
return x;
}
std::istream& read(std::istream& is, Element& x) const
{
long tmp;
is>>tmp;
x=NTL::to_ZZ_pE(tmp);
return is;
}
#ifdef __LINBOX_XMLENABLED
bool toTag(LinBox::Writer &W) const
{
std::string s;
NTL::ZZ_pX poly = Element::modulus();
long i;
W.setTagName("field");
W.setAttribute("implDetail", "ntl-ZZpE");
W.setAttribute("cardinality", LinBox::Writer::numToString(s, _card));
W.addTagChild();
W.setTagName("finite");
W.addTagChild();
W.setTagName("characteristic");
W.addNum(_p);
W.upToParent();
W.addTagChild();
W.setTagName("extension");
W.addNum(deg(poly) + 1);
W.upToParent();
W.addTagChild();
W.setTagName("polynomial");
for(i = 0; i <= deg(poly); ++i) {
W.addNum(coeff(poly, i));
}
W.upToParent();
W.upToParent();
W.upToParent();
return true;
}
std::ostream &write(std::ostream &os) const
{
LinBox::Writer W;
if( toTag(W) )
W.write(os);
return os;
}
// Elemnt Reading & writing functions
// BIG NOTE: It was decided that for extension fields, the elements
// would be represented using a single number that has the following
// property: for an element e in ZZp[x], with e = a0 + a1x + a2x^2 + ...,
// represent e as "<cn>n</cn>" where n = a0 + a1 * p + a2 * p^2 + ...
//
bool toTag(LinBox::Writer &W, const Element &e) const
{
NTL::ZZ_pX poly = rep(e);
NTL::ZZ accum, base = NTL::ZZ_p::modulus();
long i;
std::string s;
accum = 0;
for(i = deg(poly); i >= 0; --i) {
accum *= base;
accum += rep(coeff(poly, i));
}
W.setTagName("cn");
W.addDataChild(LinBox::Writer::numToString(s, accum));
return true;
}
std::ostream &write(std::ostream &os, const Element &e) const
{
LinBox::Writer W;
if( toTag(W, e))
W.write(os);
return os;
}
bool fromTag(LinBox::Reader &R, Element &e) const
{
NTL::ZZ total, base = NTL::ZZ_p::modulus(), rem;
std::stringstream ss;
if(!R.expectTagName("cn") || !R.expectChildTextNum(total))
return false;
ss << "[";
while(total > 0) {
rem = total % base;
total /= base;
ss << rem;
if(total > 0) ss << " ";
}
ss << "]";
ss >> e; // use the extraction stream operator
return true;
}
std::istream &read(std::istream &is, Element &e) const
{
LinBox::Reader R(is);
if( !fromTag(R, e)) {
is.setstate(std::istream::failbit);
if(!R.initalized()) {
is.setstate(std::istream::badbit);
}
}
return is;
}
#endif
}; // end of class NTL_ZZ_pE
template <class Ring>
struct ClassifyRing;
template<>
struct ClassifyRing<UnparametricRandIter<NTL::ZZ_pE> > {
typedef RingCategories::ModularTag categoryTag;
};
}
namespace LinBox
{
template<>
class UnparametricRandIter<NTL::ZZ_pE> {
public:
typedef NTL::ZZ_pE Element;
UnparametricRandIter<NTL::ZZ_pE>(const NTL_ZZ_pE & F ,
const integer& size =0,
const integer& seed =0
) :
_size(size), _seed(seed)
{
if(_seed == 0)
NTL::SetSeed(NTL::to_ZZ(time(0)));
else
NTL::SetSeed( NTL::to_ZZ(static_cast<long>(seed)) );
}
#ifdef __LINBOX_XMLENABLED
UnparametricRandIter<NTL::ZZ_pE>(LinBox::Reader &R)
{
if(!R.expectTagName("randiter")) return;
if(!R.expectAttributeNum("seed", _seed) || !R.expectAttributeNum("size", _size)) return;
if(_seed == 0) _seed = time(NULL);
NTL::SetSeed(NTL::to_ZZ(_seed));
}
#endif
UnparametricRandIter<NTL::ZZ_pE>(const UnparametricRandIter<NTL::ZZ_pE>& R) :
_size(R._size), _seed(R._seed)
{
if(_seed == 0)
NTL::SetSeed(NTL::to_ZZ(time(0)));
else
NTL::SetSeed(NTL::to_ZZ( static_cast<long>(_seed)) );
}
NTL::ZZ_pE& random (NTL::ZZ_pE& x) const
{
NTL::random(x);
return x;
}
protected:
size_t _size;
size_t _seed;
};
}
#endif //__LINBOX_field_ntl_zz_pe_H
// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,:0,t0,+0,=s
// Local Variables:
// mode: C++
// tab-width: 8
// indent-tabs-mode: nil
// c-basic-offset: 8
// End:
|