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-rw-r--r--compat/simple-mat.hpp250
1 files changed, 143 insertions, 107 deletions
diff --git a/compat/simple-mat.hpp b/compat/simple-mat.hpp
index c8c9f48b..e697f76a 100644
--- a/compat/simple-mat.hpp
+++ b/compat/simple-mat.hpp
@@ -8,13 +8,12 @@
#pragma once
-#include "export.hpp"
-
+#include <cstddef>
#include <type_traits>
#include <utility>
#include <cmath>
-namespace simple_mat_detail {
+namespace simple_mat {
// last param to fool SFINAE into overloading
template<int i, int j, int>
struct equals
@@ -51,81 +50,83 @@ namespace simple_mat_detail {
enum { Q = a == 1 ? 3 : 1 };
};
- template<typename num, int h, int w, typename...ts>
+ template<typename, int h, int w, typename...ts>
struct is_arglist_correct
{
enum { value = h * w == sizeof...(ts) };
};
-template<typename num, int h_, int w_>
+template<typename num, int H, int W>
class Mat
{
- static_assert(h_ > 0 && w_ > 0, "must have positive mat dimensions");
- num data[h_][w_];
+ static_assert(H > 0 && W > 0, "must have positive mat dimensions");
+ num data[H][W];
public:
- template<int Q = w_> std::enable_if_t<equals<Q, 1, 0>::value, num>
- constexpr inline operator()(unsigned i) const& { return data[i][0]; }
+ // parameters W and H are rebound so that SFINAE occurs
+ // removing them causes a compile-time error -sh 20150811
+
+ template<typename t, int Q = W> std::enable_if_t<equals<Q, 1, 0>::value, num>
+ constexpr inline operator()(t i) const& { return data[(unsigned)i][0]; }
- template<int P = h_> std::enable_if_t<equals<P, 1, 1>::value, num>
- constexpr inline operator()(unsigned i) const& { return data[0][i]; }
+ template<typename t, int P = H> std::enable_if_t<equals<P, 1, 1>::value, num>
+ constexpr inline operator()(t i) const& { return data[0][(unsigned)i]; }
- template<int Q = w_> std::enable_if_t<equals<Q, 1, 2>::value, num&>
- constexpr inline operator()(unsigned i) & { return data[i][0]; }
+ template<typename t, int Q = W> std::enable_if_t<equals<Q, 1, 2>::value, num&>
+ constexpr inline operator()(t i) & { return data[(unsigned)i][0]; }
- template<int P = h_> std::enable_if_t<equals<P, 1, 3>::value, num&>
- constexpr inline operator()(unsigned i) & { return data[0][i]; }
+ template<typename t, int P = H> std::enable_if_t<equals<P, 1, 3>::value, num&>
+ constexpr inline operator()(t i) & { return data[0][(unsigned)i]; }
-#define OPENTRACK_ASSERT_SWIZZLE static_assert(P == h_ && Q == w_, "")
+#define OTR_MAT_ASSERT_SWIZZLE static_assert(P == H && Q == W)
// const variants
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 1, 4>::value, num>
- constexpr inline x() const& { OPENTRACK_ASSERT_SWIZZLE; return operator()(0); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 1, 4>::value, num>
+ constexpr inline x() const& { OTR_MAT_ASSERT_SWIZZLE; return operator()(0); }
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 2, 4>::value, num>
- constexpr inline y() const& { OPENTRACK_ASSERT_SWIZZLE; return operator()(1); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 2, 4>::value, num>
+ constexpr inline y() const& { OTR_MAT_ASSERT_SWIZZLE; return operator()(1); }
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 3, 4>::value, num>
- constexpr inline z() const& { OPENTRACK_ASSERT_SWIZZLE; return operator()(2); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 3, 4>::value, num>
+ constexpr inline z() const& { OTR_MAT_ASSERT_SWIZZLE; return operator()(2); }
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 4, 4>::value, num>
- constexpr inline w() const& { OPENTRACK_ASSERT_SWIZZLE; return operator()(3); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 4, 4>::value, num>
+ constexpr inline w() const& { OTR_MAT_ASSERT_SWIZZLE; return operator()(3); }
// mutable variants
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 1, 4>::value, num&>
- constexpr inline x() & { OPENTRACK_ASSERT_SWIZZLE; return operator()(0); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 1, 4>::value, num&>
+ constexpr inline x() & { OTR_MAT_ASSERT_SWIZZLE; return operator()(0); }
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 2, 4>::value, num&>
- constexpr inline y() & { OPENTRACK_ASSERT_SWIZZLE; return operator()(1); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 2, 4>::value, num&>
+ constexpr inline y() & { OTR_MAT_ASSERT_SWIZZLE; return operator()(1); }
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 3, 4>::value, num&>
- constexpr inline z() & { OPENTRACK_ASSERT_SWIZZLE; return operator()(2); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 3, 4>::value, num&>
+ constexpr inline z() & { OTR_MAT_ASSERT_SWIZZLE; return operator()(2); }
- template<int P = h_, int Q = w_> std::enable_if_t<maybe_add_swizzle<P, Q, 4, 4>::value, num&>
- constexpr inline w() & { OPENTRACK_ASSERT_SWIZZLE; return operator()(3); }
+ template<int P = H, int Q = W> std::enable_if_t<maybe_add_swizzle<P, Q, 4, 4>::value, num&>
+ constexpr inline w() & { OTR_MAT_ASSERT_SWIZZLE; return operator()(3); }
- // parameters w_ and h_ are rebound so that SFINAE occurs
- // removing them causes a compile-time error -sh 20150811
-
- template<int P = h_, int Q = w_>
- std::enable_if_t<is_vector<P, Q>::value, num>
- norm() const
+ template<int P = H, int Q = W>
+ constexpr auto norm_squared() const -> std::enable_if_t<is_vector<P, Q>::value, num>
{
- static_assert(P == h_ && Q == w_, "");
+ static_assert(P == H && Q == W);
const num val = dot(*this);
+ constexpr num eps = num(1e-4);
- if (val < num(1e-4))
+ if (val < eps)
return num(0);
else
- return std::sqrt(val);
+ return val;
}
- template<int R, int S, int P = h_, int Q = w_>
+ inline auto norm() const { return num(std::sqrt(norm_squared())); }
+
+ template<int R, int S, int P = H, int Q = W>
std::enable_if_t<is_vector_pair<R, S, P, Q>::value, num>
constexpr dot(const Mat<num, R, S>& p2) const
{
- static_assert(P == h_ && Q == w_, "");
+ static_assert(P == H && Q == W);
num ret = 0;
constexpr int len = vector_len<R, S>::value;
@@ -134,166 +135,201 @@ public:
return ret;
}
- template<int R, int S, int P = h_, int Q = w_>
+ template<int R, int S, int P = H, int Q = W>
std::enable_if_t<is_dim3<P, Q, R, S>::value, Mat<num, is_dim3<P, Q, R, S>::P, is_dim3<P, Q, R, S>::Q>>
constexpr cross(const Mat<num, R, S>& b) const
{
- static_assert(P == h_ && Q == w_, "");
- auto& a = *this;
+ static_assert(P == H && Q == W);
+ const auto& a = *this;
return Mat<num, R, S>(a.y()*b.z() - a.z()*b.y(),
a.z()*b.x() - a.x()*b.z(),
a.x()*b.y() - a.y()*b.x());
}
- constexpr Mat<num, h_, w_> operator+(const Mat<num, h_, w_>& other) const
+ constexpr Mat<num, H, W> operator+(const Mat<num, H, W>& other) const
{
- Mat<num, h_, w_> ret;
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ Mat<num, H, W> ret;
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
ret(j, i) = data[j][i] + other.data[j][i];
return ret;
}
- constexpr Mat<num, h_, w_> operator-(const Mat<num, h_, w_>& other) const
+ constexpr Mat<num, H, W> operator-(const Mat<num, H, W>& other) const
{
- Mat<num, h_, w_> ret;
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ Mat<num, H, W> ret;
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
ret(j, i) = data[j][i] - other.data[j][i];
return ret;
}
- constexpr Mat<num, h_, w_> operator+(const num other) const
+ constexpr Mat<num, H, W> operator+(const num other) const
{
- Mat<num, h_, w_> ret;
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ Mat<num, H, W> ret;
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
ret(j, i) = data[j][i] + other;
return ret;
}
- constexpr Mat<num, h_, w_> operator-(const num other) const
+ constexpr Mat<num, H, W> operator-(const num other) const
{
- Mat<num, h_, w_> ret;
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ Mat<num, H, W> ret;
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
ret(j, i) = data[j][i] - other;
return ret;
}
template<int p>
- constexpr Mat<num, h_, p> operator*(const Mat<num, w_, p>& other) const
+ constexpr Mat<num, H, p> operator*(const Mat<num, W, p>& other) const
{
- Mat<num, h_, p> ret;
- for (int k = 0; k < h_; k++)
+ Mat<num, H, p> ret;
+ for (int k = 0; k < H; k++)
for (int i = 0; i < p; i++)
{
ret(k, i) = 0;
- for (int j = 0; j < w_; j++)
+ for (int j = 0; j < W; j++)
ret(k, i) += data[k][j] * other(j, i);
}
return ret;
}
- constexpr Mat<num, h_, w_> mult_elementwise(const Mat<num, h_, w_>& other) const&
+ constexpr Mat<num, H, W> mult_elementwise(const Mat<num, H, W>& other) const&
{
- Mat<num, h_, w_> ret;
+ Mat<num, H, W> ret;
- for (unsigned j = 0; j < h_; j++)
- for (unsigned i = 0; i < w_; i++)
+ for (unsigned j = 0; j < H; j++)
+ for (unsigned i = 0; i < W; i++)
ret(j, i) = data[j][i] * other.data[j][i];
return ret;
}
template<typename t, typename u>
- constexpr inline num operator()(t j, u i) const& { return data[(int) j][(int) i]; }
+ constexpr inline num operator()(t j, u i) const& { return data[(unsigned)j][(unsigned)i]; }
template<typename t, typename u>
- constexpr inline num& operator()(t j, u i) & { return data[(int) j][(int) i]; }
+ constexpr inline num& operator()(t j, u i) & { return data[(unsigned)j][(unsigned)i]; }
-#ifdef __GNUG__
-# pragma GCC diagnostic push
-# pragma GCC diagnostic ignored "-Wmissing-braces"
+#ifdef __clang__
+# pragma clang diagnostic push
+# pragma clang diagnostic ignored "-Wmissing-braces"
#endif
- template<typename... ts, int h__ = h_, int w__ = w_,
- typename = std::enable_if_t<is_arglist_correct<num, h__, w__, ts...>::value>>
+ template<typename... ts, int h2 = H, int w2 = W,
+ typename = std::enable_if_t<is_arglist_correct<num, h2, w2, ts...>::value>>
constexpr Mat(const ts... xs) : data{static_cast<num>(xs)...}
{
- static_assert(h__ == h_ && w__ == w_, "");
+ static_assert(h2 == H && w2 == W);
}
-#ifdef __GNUG__
-# pragma GCC diagnostic pop
+#ifdef __clang__
+# pragma clang diagnostic pop
#endif
constexpr Mat()
{
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
data[j][i] = num(0);
}
- Mat(const num* mem)
+ constexpr Mat(const num* mem)
{
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
- data[j][i] = mem[i*h_+j];
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
+ data[j][i] = mem[i*H+j];
}
- operator num*() { return reinterpret_cast<num*>(data); }
- operator const num*() const { return reinterpret_cast<const num*>(data); }
+ constexpr Mat(const Mat<num, H, W>& x)
+ {
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
+ data[j][i] = x(j, i);
+ }
+
+ constexpr operator num*() & { return (num*)data; }
+ constexpr operator const num*() const& { return (const num*)data; }
// XXX add more operators as needed, third-party dependencies mostly
// not needed merely for matrix algebra -sh 20141030
- template<int h__ = h_>
- static std::enable_if_t<h_ == w_, Mat<num, h__, h__>> eye()
+ template<int H_ = H>
+ static constexpr std::enable_if_t<H == W, Mat<num, H_, H_>> eye()
{
- static_assert(h_ == h__, "");
+ static_assert(H == H_);
- Mat<num, h_, h_> ret;
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ Mat<num, H, H> ret;
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
ret.data[j][i] = 0;
- for (int i = 0; i < h_; i++)
+ for (int i = 0; i < H; i++)
ret.data[i][i] = 1;
return ret;
}
- constexpr Mat<num, w_, h_> t() const
+ constexpr Mat<num, W, H> t() const
{
- Mat<num, w_, h_> ret;
+ Mat<num, W, H> ret;
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
ret(i, j) = data[j][i];
return ret;
}
+
+ constexpr Mat<num, H, W>& operator=(const Mat<num, H, W>& rhs)
+ {
+ for (unsigned j = 0; j < H; j++)
+ for (unsigned i = 0; i < W; i++)
+ data[j][i] = rhs(j, i);
+
+ return *this;
+ }
};
+template<unsigned k, typename num, int h, int w>
+constexpr num get(const Mat<num, h, w>& m) { return m(k); }
+
+template<unsigned k, typename num, int h, int w>
+constexpr num& get(Mat<num, h, w>& m) { return m(k); }
+
+} // ns simple_mat
+
+template<typename num, int h, int w>
+using Mat = simple_mat::Mat<num, h, w>;
+
template<typename num, int h, int w>
constexpr Mat<num, h, w> operator*(num scalar, const Mat<num, h, w>& mat)
{
return mat * scalar;
}
-template<typename num, int h_, int w_>
-constexpr Mat<num, h_, w_> operator*(const Mat<num, h_, w_>& self, num other)
+template<typename num, int H, int W>
+constexpr Mat<num, H, W> operator*(const Mat<num, H, W>& self, num other)
{
- Mat<num, h_, w_> ret;
- for (int j = 0; j < h_; j++)
- for (int i = 0; i < w_; i++)
+ Mat<num, H, W> ret;
+ for (int j = 0; j < H; j++)
+ for (int i = 0; i < W; i++)
ret(j, i) = self(j, i) * other;
return ret;
}
-} // ns simple_mat_detail
+namespace std {
+ template<typename num, int H, int W>
+ struct tuple_size<Mat<num, H, W>> :
+ std::integral_constant<std::size_t, H == 1 || W == 1 ? W * H : 0>
+ {};
-template<typename num, int h, int w>
-using Mat = simple_mat_detail::Mat<num, h, w>;
+ template<std::size_t k, typename num, int h, int w>
+ struct tuple_element<k, Mat<num, h, w>>
+ {
+ using type = std::remove_const_t<std::remove_reference_t<num>>;
+ };
+} // ns std