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// Copyright 2013 Michael E. Stillman
#ifndef _aring_QQ_gmp_hpp_
#define _aring_QQ_gmp_hpp_
#include "interface/random.h"
#include "aring.hpp"
#include "buffer.hpp"
#include "ringelem.hpp"
#include <iosfwd>
#include "exceptions.hpp"
// promote needs ring.hpp. After moving promote out, remove it here!
#include "ring.hpp"
namespace M2 {
/**
@ingroup rings
@brief wrapper for the gmp mpq_t integer representation
*/
class ARingQQGMP : public RingInterface
{
public:
static const RingID ringID = ring_QQ;
typedef __mpq_struct ElementType;
typedef ElementType elem;
typedef std::vector<elem> ElementContainerType;
ARingQQGMP();
~ARingQQGMP();
public:
// ring informational
size_t characteristic() const { return 0; }
size_t cardinality() const { return static_cast<size_t>(-1); }
unsigned int computeHashValue(const ElementType& a) const
{
unsigned long numhash = mpz_get_ui(mpq_numref(&a));
unsigned long denhash = mpz_get_ui(mpq_denref(&a));
return static_cast<unsigned int>(13253 * numhash + 7647 * denhash);
}
/** @name properties
@{
*/
bool is_pm_one(const ElementType& f) const
{
return (mpz_cmp_si(mpq_denref(&f), 1) == 0 and
(mpz_cmp_si(mpq_numref(&f), 1) == 0 or
mpz_cmp_si(mpq_numref(&f), -1) == 0));
}
bool is_unit(const ElementType& f) const { return not is_zero(f); }
bool is_zero(const ElementType& f) const { return mpq_sgn(&f) == 0; }
/** @} */
/** @name operators
@{ */
bool is_equal(const ElementType& f, const ElementType& g) const
{
return mpq_equal(&f, &g);
}
int compare_elems(const ElementType& f, const ElementType& g) const
{
int cmp = mpq_cmp(&f, &g);
if (cmp > 0) return 1;
if (cmp < 0) return -1;
return 0;
}
/** @} */
/** @name init_set
@{ */
void init_set(ElementType& result, const ElementType& a) const
{
mpq_init(&result);
mpq_set(&result, &a);
}
void init(ElementType& result) const { mpq_init(&result); }
void clear(ElementType& result) const { mpq_clear(&result); }
void set(ElementType& result, const ElementType& a) const
{
mpq_set(&result, &a);
}
void set_zero(ElementType& result) const { mpq_set_si(&result, 0, 1); }
void set_from_long(ElementType& result, long a) const
{
mpq_set_si(&result, a, 1);
}
void set_from_mpz(ElementType& result, mpz_srcptr a) const
{
mpz_set(mpq_numref(&result), a);
mpz_set_ui(mpq_denref(&result), 1);
}
bool lift_to_mpz(mpz_ptr result, const ElementType& a) const
{
if (mpz_cmp_si(mpq_denref(&a), 1) == 0)
{
mpz_set(result, mpq_numref(&a));
return true;
}
return false;
}
bool set_from_mpq(ElementType& result, mpq_srcptr a) const
{
mpq_set(&result, a);
return true;
}
bool set_from_BigReal(ElementType& result, gmp_RR a) const { return false; }
void set_var(ElementType& result, int v) const { mpq_set_si(&result, 1, 1); }
/** @} */
/** @name arithmetic
@{ */
void negate(ElementType& result, const ElementType& a) const
{
mpq_neg(&result, &a);
}
bool invert(ElementType& result, const ElementType& a) const
{
if (is_unit(a))
{
mpq_inv(&result, &a);
return true;
}
set_zero(result);
return false;
}
void add(ElementType& result,
const ElementType& a,
const ElementType& b) const
{
mpq_add(&result, &a, &b);
}
void subtract(ElementType& result,
const ElementType& a,
const ElementType& b) const
{
mpq_sub(&result, &a, &b);
}
void subtract_multiple(ElementType& result,
const ElementType& a,
const ElementType& b) const
{
mpq_t tmp;
mpq_init(tmp);
mpq_mul(tmp, &a, &b);
mpq_sub(&result, &result, tmp);
mpq_clear(tmp);
}
void mult(ElementType& result,
const ElementType& a,
const ElementType& b) const
{
mpq_mul(&result, &a, &b);
}
///@brief test doc
void divide(ElementType& result,
const ElementType& a,
const ElementType& b) const
{
if (is_zero(b)) throw exc::division_by_zero_error();
mpq_div(&result, &a, &b);
}
void power(ElementType& result, const ElementType& a, long n) const
{
bool n_is_negative = false;
if (n < 0)
{
if (is_zero(a)) throw exc::division_by_zero_error();
n_is_negative = true;
n = -n;
}
mpz_pow_ui(mpq_numref(&result), mpq_numref(&a), n);
mpz_pow_ui(mpq_denref(&result), mpq_denref(&a), n);
if (n_is_negative)
mpq_inv(&result, &result);
}
void power_mpz(ElementType& result,
const ElementType& a,
mpz_srcptr n) const
{
std::pair<bool, int> n1 = RingZZ::get_si(n);
if (n1.first)
power(result, a, n1.second);
else
throw exc::engine_error("exponent too large");
}
void syzygy(const ElementType& a,
const ElementType& b,
ElementType& x,
ElementType& y) const;
/** @} */
/** @name misc
@{ */
void swap(ElementType& a, ElementType& b) const { mpq_swap(&a, &b); }
void random(ElementType& result) const
{
rawSetRandomQQ(&result, 0);
#if 0
mpz_urandomb(mpq_numref(&result), mRandomState, mMaxHeight);
mpz_urandomb(mpq_denref(&result), mRandomState, mMaxHeight);
mpz_add_ui(mpq_numref(&result), mpq_numref(&result), 1);
mpz_add_ui(mpq_denref(&result), mpq_denref(&result), 1);
mpq_canonicalize(&result);
#endif
}
/** @} */
/** @name IO
@{
*/
void text_out(buffer& o) const { o << "QQGMP"; }
void elem_text_out(buffer& o,
const ElementType& a,
bool p_one = true,
bool p_plus = false,
bool p_parens = false) const;
/** @} */
/** @name translation functions
@{ */
void to_ring_elem(ring_elem& result, const ElementType& a) const
{
mpq_ptr b = getmemstructtype(mpq_ptr);
mpq_init(b);
mpq_set(b, &a);
mpz_reallocate_limbs(mpq_numref(b));
mpz_reallocate_limbs(mpq_denref(b));
result = ring_elem(b);
}
void from_ring_elem(ElementType& result, const ring_elem& a) const
{
// Currently, until QQ becomes a ConcreteRing, elements of QQ are gmp_QQ
// (aka mpq_t)
mpq_set(&result, a.get_mpq());
}
/** @} */
#if 0
bool promote(const Ring *Rf, const ring_elem f, ElementType& result) const {
printf("ARingQQGMP::calling promote\n");
// Rf = ZZ ---> QQ
if (Rf->is_ZZ())
{
set_from_mpz(result, f.get_mpz());
return true;
}
return false;
}
bool lift(const Ring *Rg, const ElementType& f, ring_elem &result) const {
return false;
}
#endif
// map : this --> target(map)
// primelem --> map->elem(first_var)
// evaluate map(f)
void eval(const RingMap* map,
const ElementType& f,
int first_var,
ring_elem& result) const;
private:
mutable gmp_randstate_t mRandomState;
long int mMaxHeight;
};
};
#endif
// Local Variables:
// compile-command: "make -C $M2BUILDDIR/Macaulay2/e "
// indent-tabs-mode: nil
// End:
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