/usr/include/givaro/givintrns_cstor.inl is in libgivaro-dev 3.7.2-1.
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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 | // Copyright(c)'1994-2009 by The Givaro group
// This file is part of Givaro.
// Givaro is governed by the CeCILL-B license under French law
// and abiding by the rules of distribution of free software.
// see the COPYRIGHT file for more details.
/*!@internal
* @file integer/givintrns_cstor.inl
* @brief NO DOC
*/
#ifndef __GIVARO_intrns_cstor_INL
#define __GIVARO_intrns_cstor_INL
namespace Givaro {
// -- Array of primes are given
//#ifndef __ECC
//template<template<class> class Container>
//#else
template<template <class,class> class Container, template <class> class Alloc>
//#endif
inline IntRNSsystem<Container, Alloc>::IntRNSsystem( const array& inprimes) :
_primes(inprimes),
_prod(one), _ck(0)
{
GIVARO_ASSERT( inprimes.size()>0, "[IntRNSsystem::IntRNSsystem] bad size of array");
}
// -- Array of primes are given
//#ifndef __ECC
template<template<class,class> class Container, template <class> class Alloc>
template <class TT>
inline IntRNSsystem< Container, Alloc >::IntRNSsystem( const Container<TT, Alloc<TT> >& inprimes) :
_prod(one), _ck(0)
{
GIVARO_ASSERT( inprimes.size()>0, "[IntRNSsystem::IntRNSsystem] bad size of array");
_primes.resize(inprimes.size());
typename Container<TT, Alloc<TT> >::const_iterator np = inprimes.begin();
for(typename array::iterator pi = _primes.begin(); pi != _primes.end(); ++pi, ++np)
*pi = Element( *np );
}
#if 0
// #else
template<class Container> template <class ContTT>
inline IntRNSsystem< Container >::IntRNSsystem( const ContTT& inprimes)
: _prod(one), _ck(0)
{
GIVARO_ASSERT( inprimes.size()>0, "[IntRNSsystem< Container >::IntRNSsystem] bad size of array");
_primes.resize(inprimes.size());
typename ContTT::const_iterator np = inprimes.begin();
for(typename array::iterator pi = _primes.begin(); pi != _primes.end(); ++pi, ++np)
*pi = Element( *np );
}
// #endif
#endif
// -- Product of primes
//#ifndef __ECC
template<template<class,class> class Container, template <class> class Alloc>
//#else
//template<class Container>
//#endif
inline void IntRNSsystem< Container, Alloc >::ComputeProd()
{
if (isOne(_prod))
for (typename array::const_iterator pi = _primes.begin();pi != _primes.end(); ++pi)
mulin(_prod, *pi);
}
// -- Computes Ck , Ck = (\prod_{i=0}^{k-1} primes[i])^(-1) % primes[k],
// for k=1..(_sz-1)
//#ifndef __ECC
template<template<class,class> class Container, template <class> class Alloc>
//#else
//template<class Container>
//#endif
inline void IntRNSsystem< Container, Alloc >::ComputeCk()
{
if (_ck.size() !=0) return; // -- already computed
// - reallocation of a new array :
size_t size = _primes.size();
_ck.resize(size);
_ck[0] = Element::zero; // -- undefined and never used
for (size_t k=1; k < size; ++k)
{
Element prod = _primes[0];
for (size_t i= 1; i < k; ++i)
modin( mulin( prod, _primes[i]), _primes[k]);
Element g,u;
gcd(g,u, _ck[k],_primes[k],prod); // _ck[k] * prod = g mod _primes[k]
}
}
//#ifndef __ECC
template<template<class,class> class Container, template<class> class Alloc>
//#else
//template<class Container>
//#endif
inline const typename IntRNSsystem< Container, Alloc >::array& IntRNSsystem< Container, Alloc >::Primes() const
{
return _primes;
}
//#ifndef __ECC
template<template<class, class> class Container, template <class> class Alloc>
//#else
//template<class Container>
//#endif
inline const typename IntRNSsystem< Container, Alloc >::Element IntRNSsystem< Container, Alloc >::ith(const size_t i) const
{
return _primes[i];
}
//#ifndef __ECC
template<template<class,class> class Container, template <class> class Alloc>
//#else
//template<class Container>
//#endif
inline const typename IntRNSsystem< Container, Alloc >::Element IntRNSsystem< Container, Alloc >::product() const
{
((IntRNSsystem< Container, Alloc >*)this)->ComputeProd();
return _prod;
}
//#ifndef __ECC
template<template<class,class> class Container, template <class> class Alloc>
//#else
//template<class Container>
//#endif
inline const typename IntRNSsystem< Container, Alloc >::array& IntRNSsystem< Container, Alloc >::Reciprocals() const
{
if (_ck.size() ==0) ((IntRNSsystem< Container, Alloc >*)this)->ComputeCk();
return _ck;
}
//#ifndef __ECC
template<template<class,class> class Container, template <class> class Alloc>
//#else
//template<class Container>
//#endif
inline const typename IntRNSsystem< Container, Alloc >::Element IntRNSsystem< Container, Alloc >::reciprocal(const size_t i) const
{
if (_ck.size() ==0) ((IntRNSsystem< Container, Alloc >*)this)->ComputeCk();
return _ck[i];
}
} // namespace Givaro
#endif // __GIVARO_intrns_cstor_INL
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