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d3f434b523
libcruft-util/matrix.ipp
Danny Robson d3f434b523 coord: make template parameters more flexible 
The coordinate system was unable to support types that prohibited
redim or retype operations. Additionally, the `tags' type used for
providing named data parameters was unwiedly.

We remove much of the dependance on template template parameters in the
defined operations and instead define these in terms of a template
specialisation of is_coord.

The tag types were replaced with direct specialisation of the `store'
struct by the primary type, and passing this type through use of the
CRTP.
2017-11-22 17:03:00 +11:00

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/*
* 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 2011-2015 Danny Robson <danny@nerdcruft.net>
*/
#ifdef __UTIL_MATRIX_IPP
#error
#endif
#include "matrix.hpp"
#define __UTIL_MATRIX_IPP
///////////////////////////////////////////////////////////////////////////////
//template <std::size_t Rows, std::size_t Cols, typename T>
//T*
//util::matrix<Rows,Cols,T>::operator[] (int idx)
//{
// return this->values[idx];
//}
//
//
////-----------------------------------------------------------------------------
//template <std::size_t Rows, std::size_t Cols, typename T>
//const T*
//util::matrix<Rows,Cols,T>::operator[] (int idx) const
//{
// return this->values[idx];
//}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
T*
util::matrix<Rows,Cols,T>::data (void)
{
return begin ();
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
const T*
util::matrix<Rows,Cols,T>::data (void) const
{
return begin ();
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
const T*
util::matrix<Rows,Cols,T>::begin (void) const
{
return &(*this)[0][0];
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
const T*
util::matrix<Rows,Cols,T>::end (void) const
{
return &(*this)[Rows][0];
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
const T*
util::matrix<Rows,Cols,T>::cbegin (void) const
{
return begin ();
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
const T*
util::matrix<Rows,Cols,T>::cend (void) const
{
return end ();
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
T*
util::matrix<Rows,Cols,T>::begin (void)
{
return &(*this)[0][0];
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
T*
util::matrix<Rows,Cols,T>::end (void)
{
return &(*this)[Rows][0];
}
///////////////////////////////////////////////////////////////////////////////
template <std::size_t Rows, std::size_t Cols, typename T>
template <typename U>
util::matrix<Rows,Cols,U>
util::matrix<Rows,Cols,T>::cast (void) const
{
util::matrix<Rows,Cols,T> out;
std::copy (cbegin (), cend (), std::begin (out));
return out;
}
///////////////////////////////////////////////////////////////////////////////
#define MATRIX_ELEMENT_OP(OP) \
template <std::size_t Rows, std::size_t Cols, typename T> \
constexpr \
util::matrix<Rows,Cols,T> \
util::operator OP ( \
const util::matrix<Rows,Cols,T> &a, \
const util::matrix<Rows,Cols,T> &b) \
{ \
util::matrix<Rows,Cols,T> res {}; \
\
for (std::size_t i = 0; i < a.rows; ++i) \
for (std::size_t j = 0; j < a.cols; ++j) \
res[i][j] = a[i][j] OP b[i][j]; \
\
return res; \
}
MATRIX_ELEMENT_OP(-)
MATRIX_ELEMENT_OP(+)
#undef MATRIX_ELEMENT_OP
///////////////////////////////////////////////////////////////////////////////
#define MATRIX_SCALAR_OP(OP) \
template <std::size_t Rows, std::size_t Cols, typename T> \
constexpr \
util::matrix<Rows,Cols,T> \
util::operator OP (const util::matrix<Rows,Cols,T> &m, const T t) \
{ \
util::matrix<Rows,Cols,T> res {}; \
\
std::transform ( \
std::cbegin (m), \
std::cend (m), \
std::begin (res), \
[&t] (auto x) { return x OP t; } \
); \
\
return res; \
} \
\
\
template <std::size_t Rows, std::size_t Cols, typename T> \
constexpr \
util::matrix<Rows,Cols,T> \
util::operator OP (const T t, const util::matrix<Rows,Cols,T> &m) \
{ \
return m OP t; \
} \
\
\
template <std::size_t Rows, std::size_t Cols, typename T> \
constexpr \
util::matrix<Rows,Cols,T>& \
util::operator OP##= (util::matrix<Rows,Cols,T> &m, T t) \
{ \
std::transform ( \
std::cbegin (m), \
std::cend (m), \
std::begin (m), \
[&t] (auto x) { return x OP t; } \
); \
\
return m; \
}
MATRIX_SCALAR_OP(*)
MATRIX_SCALAR_OP(/)
MATRIX_SCALAR_OP(+)
MATRIX_SCALAR_OP(-)
#undef MATRIX_SCALAR_OP
///////////////////////////////////////////////////////////////////////////////
template <std::size_t Rows, std::size_t Cols, typename T>
constexpr
util::matrix<Rows,Cols,T>
util::matrix<Rows,Cols,T>::zeroes (void)
{
util::matrix<Rows,Cols,T> ret {};
for (std::size_t r = 0; r < Rows; ++r)
for (std::size_t c = 0; c < Cols; ++c)
ret[r][c] = 0;
return ret;
}
///////////////////////////////////////////////////////////////////////////////
template <std::size_t Rows, std::size_t Cols, typename T>
constexpr
util::matrix<Rows,Cols,T>
util::matrix<Rows,Cols,T>::identity (void)
{
static_assert (Rows == Cols);
auto m = zeroes ();
for (std::size_t i = 0; i < Rows; ++i)
m[i][i] = 1;
return m;
}
///////////////////////////////////////////////////////////////////////////////
template <std::size_t Rows, std::size_t Cols, typename T>
constexpr
bool
util::operator== (const matrix<Rows,Cols,T> &a, const matrix<Rows,Cols,T> &b)
{
return std::equal (std::cbegin (a), std::cend (a), std::cbegin (b));
}
//-----------------------------------------------------------------------------
template <std::size_t Rows, std::size_t Cols, typename T>
constexpr
bool
util::operator!= (const matrix<Rows,Cols,T> &a, const matrix<Rows,Cols,T> &b)
{
return !(a == b);
}
///////////////////////////////////////////////////////////////////////////////
template <std::size_t Rows, std::size_t Cols, typename T>
util::matrix<Rows,Cols,T>
util::abs (const util::matrix<Rows,Cols,T> &src)
{
util::matrix<Rows,Cols,T> dst;
std::transform (std::cbegin (src), std::cend (src), std::begin (dst), util::abs<T>);
return dst;
}
///////////////////////////////////////////////////////////////////////////////
template <std::size_t Rows, std::size_t Cols, typename T>
constexpr
T
util::sum (const util::matrix<Rows, Cols,T> &src)
{
return sum (std::cbegin (src), std::cend (src));
}
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