diff options
Diffstat (limited to 'compat/simple-mat.hpp')
-rw-r--r-- | compat/simple-mat.hpp | 250 |
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 |