libcruft-util/region.cpp

402 lines
9.9 KiB
C++

/*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* Copyright 2010-2015 Danny Robson <danny@nerdcruft.net>
*/
#include "region.hpp"
#include "debug.hpp"
#include "types/casts.hpp"
#include <cmath>
#include <type_traits>
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>::region (extent_t _extent):
region (point_t::ORIGIN, _extent)
{
debug::sanity (*this);
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>::region (point_t _p,
extent_t _e):
p (_p),
e (_e)
{
debug::sanity (*this);
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>::region (point_t _a,
point_t _b):
region (_a, extent_t { _b - _a })
{
debug::sanity (*this);
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>::region (std::array<T,S*2> args)
{
std::copy (&args[0], &args[S], p.data);
std::copy (&args[S], &args[S*2], e.data);
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::size_type
util::region<S,T>::area (void) const
{
return e.area ();
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::size_type
util::region<S,T>::diameter (void) const
{
return e.diameter ();
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::extent_t
util::region<S,T>::magnitude (void) const
{
return e;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::extent_t
util::region<S,T>::magnitude (extent_t _e)
{
e = _e;
return e;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
void
util::region<S,T>::scale (T factor)
{
auto o = (e * factor - e) / T{2};
p -= o;
e *= factor;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
bool
util::region<S,T>::empty (void) const
{
return almost_zero (area ());
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::point_t
util::region<S,T>::base (void) const
{
return p;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::point_t
util::region<S,T>::away (void) const
{
return p + e;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::point_t
util::region<S,T>::centre (void) const
{
return p + e / T{2};
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::point_t
util::region<S,T>::closest (point_t q) const
{
point_t out;
for (size_t i = 0; i < S; ++i)
out[i] = q[i] < p[i] ? p[i] :
q[i] > p[i] ? p[i] + e[i] :
q[i];
return out;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
bool
util::region<S,T>::includes (point_t q) const
{
for (size_t i = 0; i < S; ++i)
if (q[i] < p[i] || q[i] > p[i] + e[i])
return false;
return true;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
bool
util::region<S,T>::contains (point_t q) const
{
for (size_t i = 0; i < S; ++i)
if (q[i] <= p[i] || q[i] >= p[i] + e[i])
return false;
return true;
}
//-----------------------------------------------------------------------------
// FIXME: This will fail with an actual infinite range (NaNs will be generated
// in the conditionals).
template <size_t S, typename T>
bool
util::region<S,T>::intersects (region<S,T> rhs) const
{
for (size_t i = 0; i < S; ++i)
if (p[i] >= rhs.p[i] + rhs.e[i] ||
rhs.p[i] >= p[i] + e[i])
{ return false; }
return true;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
void
util::region<S,T>::constrain (point_t &q) const
{
for (size_t i = 0; i < S; ++i)
q[i] = limit (q[i], p[i], p[i] + e[i]);
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
typename util::region<S,T>::point_t
util::region<S,T>::constrained (point_t q) const
{
constrain (q);
return q;
}
//-----------------------------------------------------------------------------
template<size_t S, typename T>
util::region<S,T>
util::region<S,T>::intersection (region<S,T> rhs) const
{
// find the intersection corners
point_t a, b;
for (size_t i = 0; i < S; ++i) {
a[i] = max (p[i], rhs.p[i]);
b[i] = min (p[i] + e[i], rhs.p[i] + rhs.e[i]);
if (b[i] < a[i])
throw std::logic_error ("no overlap");
}
return { a, b };
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>&
util::region<S,T>::resize (extent<S,T> _e)
{
e = _e;
return *this;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>
util::region<S,T>::inset (T mag)
{
// ensure we have enough space to inset
CHECK (min (e) >= 2 * mag);
return {
p + mag,
e - 2 * mag
};
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>&
util::region<S,T>::expand (vector<S,T> v)
{
p -= v;
e += v * T{2};
return *this;
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>&
util::region<S,T>::expand (T mag)
{
return expand (vector<S,T> {mag});
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>
util::region<S,T>::expanded (vector<S,T> v) const
{
return {
p - v,
e + v * T{2}
};
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>
util::region<S,T>::expanded (T mag) const
{
return expanded (vector<S,T> {mag});
}
///////////////////////////////////////////////////////////////////////////////
template <size_t S, typename T>
util::region<S,T>
util::region<S,T>::operator+ (vector<S,T> rhs) const
{
return { p + rhs, e };
}
//-----------------------------------------------------------------------------
template <size_t S, typename T>
util::region<S,T>
util::region<S,T>::operator- (vector<S,T> rhs) const
{
return { p - rhs, e };
}
///////////////////////////////////////////////////////////////////////////////
template <size_t S, typename T>
bool
util::region<S,T>::operator== (region rhs) const
{
return p == rhs.p && e == rhs.e;
}
///----------------------------------------------------------------------------
/// The largest specifiable finite region.
///
/// Starts at half the minimum value to allow the width to cover some positive
/// range rather than just cancelling out the lowest value for signed types.
///
/// Specifically does not allow infinities. Use/define INFINITE when required.
template <size_t S, typename T>
const util::region<S,T>
util::region<S,T>::MAX (
util::point<S,T> {std::numeric_limits<T>::lowest () / 2},
util::extent<S,T> {std::numeric_limits<T>::max ()}
);
template <size_t S, typename T>
const util::region<S,T>
util::region<S,T>::UNIT (util::point<S,T>{0}, util::extent<S,T>{1});
//-----------------------------------------------------------------------------
template <size_t S, typename T>
std::ostream&
util::operator<< (std::ostream &os, const util::region<S,T> &rhs) {
os << "region(" << rhs.p << ", " << rhs.e << ")";
return os;
}
///////////////////////////////////////////////////////////////////////////////
namespace debug {
template <size_t S, typename T>
struct validator<util::region,S,T> {
static bool is_valid (const util::region<S,T> &r)
{
CHECK_GE (r.area (), 0);
CHECK_GE (min (r.e), 0);
return r.area () >= 0 && min (r.e) >= 0;
}
};
}
///////////////////////////////////////////////////////////////////////////////
#define INSTANTIATE_S_T(S,T) \
namespace util { \
template struct region<S,T>; \
template std::ostream& operator<< (std::ostream&, const region<S,T>&); \
} \
namespace debug { template struct debug::validator<util::region,S,T>; }
#define INSTANTIATE(T) \
INSTANTIATE_S_T(2,T) \
INSTANTIATE_S_T(3,T)
INSTANTIATE(uint32_t)
INSTANTIATE(uint64_t)
INSTANTIATE(float)
INSTANTIATE(double)