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my_selection_three_valued.h
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my_selection_three_valued.h
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#ifndef MY_SELECTION
#define MY_SELECTION
#include <cassert>
#include "my_intrinsics.h"
#include "my_type_functions.h"
template<typename R>
requires(Comparison(R))
const Domain(R)& select_0_2(const Domain(R)& a,
const Domain(R)& b,
R r)
{
// Precondition:
// weak_ordering(r)
if (r(b, a) < 0) return b;
return a;
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_1_2(const Domain(R)& a,
const Domain(R)& b,
R r)
{
// Precondition:
// weak_ordering(r)
if (r(b, a) < 0) return a;
return b;
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_0_3(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
R r)
{
return select_0_2(select_0_2(a, b, r), c, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_2_3(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
R r)
{
return select_1_2(select_1_2(a, b, r), c, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_1_3_ab(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
R r)
{
if (r(c, b) >= 0) return b;
return select_1_2(a, c, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_1_3(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
R r)
{
if (r(b, a) < 0) return select_1_3_ab(b, a, c, r);
return select_1_3_ab(a, b, c, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_0_4(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
return select_0_2(select_0_3(a, b, c, r), d, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_3_4(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
return select_1_2(select_2_3(a, b, c, r), d, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_1_4_ab_cd(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
if (r(c, a) < 0) return select_0_2(a, d, r);
return select_0_2(b, c, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_1_4_ab(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
if (r(d, c) < 0) return select_1_4_ab_cd(a, b, d, c, r);
return select_1_4_ab_cd(a, b, c, d, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_1_4(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
if (r(b, a) < 0) return select_1_4_ab(b, a, c, d, r);
return select_1_4_ab(a, b, c, d, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_2_4_ab_cd(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
if (r(d, b) < 0) return select_1_2(a, d, r);
return select_1_2(b, c, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_2_4_ab(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
if (r(d, c) < 0) return select_2_4_ab_cd(a, b, d, c, r);
return select_2_4_ab_cd(a, b, c, d, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& select_2_4(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
if (r(b, a) < 0) return select_2_4_ab(b, a, c, d, r);
return select_2_4_ab(a, b, c, d, r);
}
template<int ia, int ib, typename R>
requires(Comparison(R))
const Domain(R)& select_0_2(const Domain(R)& a,
const Domain(R)& b,
R r)
{
bool strict = (ia < ib);
int cmp = r(b, a);
if ((strict && cmp < 0) || (!strict && cmp <= 0))
return b;
return a;
}
template<int ia, int ib, int ic, int id, typename R>
requires(Comparison(R))
const Domain(R)& select_1_4_ab_cd(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
bool strict = (ia < ic);
int cmp = r(c, a);
if ((strict && cmp < 0) || (!strict && cmp <= 0)) return
select_0_2<ia,id,R>(a, d, r);
return
select_0_2<ib,ic,R>(b, c, r);
}
template<int ia, int ib, int ic, int id, typename R>
requires(Comparison(R))
const Domain(R)& select_1_4_ab(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
bool strict = ic < id;
int cmp = r(d, c);
if ((strict && cmp < 0) || (!strict && cmp <= 0)) return
select_1_4_ab_cd<ia,ib,id,ic,R>(a, b, d, c, r);
return
select_1_4_ab_cd<ia,ib,ic,id,R>(a, b, c, d, r);
}
template<int ia, int ib, int ic, int id, typename R>
requires(Comparison(R))
const Domain(R)& select_1_4(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
R r)
{
bool strict = ia < ib;
int cmp = r(b, a);
if (cmp(b, a, r)) return
select_1_4_ab<ib,ia,ic,id,R>(b, a, c, d, r);
return
select_1_4_ab<ia,ib,ic,id,R>(a, b, c, d, r);
}
template<int ia, int ib, int ic, int id, int ie, typename R>
requires(Comparison(R))
const Domain(R)& select_2_5_ab_cd(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
bool strict = ia < ic;
int cmp = r(c, a);
if ((strict && cmp < 0) || (!strict && cmp <= 0)) return
select_1_4_ab<ia, ib, id, ie, R>(a, b, d, e, r);
return
select_1_4_ab<ic, id, ib, ie, R>(c, d, b, e, r);
}
template<int ia, int ib, int ic, int id, int ie, typename R>
requires(Comparison(R))
const Domain(R)& select_2_5_ab(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
bool strict = ic < id;
int cmp = r(d, c);
if ((strict && cmp < 0) || (!strict && cmp <= 0)) return
select_2_5_ab_cd<ia, ib, id, ic, ie, R>(a, b, d, c, e, r);
return
select_2_5_ab_cd<ia, ib, ic, id, ie, R>(a, b, c, d, e, r);
}
template<int ia, int ib, int ic, int id, int ie, typename R>
requires(Comparison(R))
const Domain(R)& select_2_5(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
bool strict = ia < ib;
int cmp = r(b, a);
if ((strict && cmp < 0) || (!strict && cmp <= 0)) return
select_2_5_ab<ib, ia, id, ic, ie, R>(b, a, d, c, e, r);
return
select_2_5_ab<ia, ib, ic, id, ie, R>(a, b, c, d, e, r);
}
template<typename R>
requires(Comparison(R))
inline const Domain(R)& select_2_5(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
return select_2_5<0, 1, 2, 3, 4>(a, b, c, d, e, r);
}
template<typename R>
requires(Comparison(R))
inline const Domain(R)& median_5(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
return select_2_5<0, 1, 2, 3, 4>(a, b, c, d, e, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& my_select_2_5_abc(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
if (r(d, b) < 0) {
if (r(e, b) < 0) return
select_2_3(a, d, e, r);
return
b;
} else {
if (r(e, b) < 0) return
b;
return
select_0_3(c, d, e, r);
}
}
template<typename R>
requires(Comparison(R))
const Domain(R)& my_select_2_5_ab(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
if (r(c, b) < 0) {
if (r(c, a) < 0) return
my_select_2_5_abc(c, a, b, d, e, r);
return
my_select_2_5_abc(a, c, b, d, e, r);
}
return
my_select_2_5_abc(a, b, c, d, e, r);
}
template<typename R>
requires(Comparison(R))
const Domain(R)& my_select_2_5(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
if (r(b, a) < 0) return
my_select_2_5_ab(b, a, c, d, e, r);
return
my_select_2_5_ab(a, b, c, d, e, r);
}
template<typename R>
requires(Comparison(R))
inline const Domain(R)& my_median_5(const Domain(R)& a,
const Domain(R)& b,
const Domain(R)& c,
const Domain(R)& d,
const Domain(R)& e,
R r)
{
return my_select_2_5(a, b, c, d, e, r);
}
#endif