put the new matrix implementation in place
This commit is contained in:
parent
55b7361717
commit
9dd862018b
6 changed files with 293 additions and 220 deletions
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@ -5,8 +5,8 @@ set(hdrs
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include/pw/core/core.hpp
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include/pw/core/math.hpp
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include/pw/core/matrixbase.hpp
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# include/pw/core/matrix.hpp
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# include/pw/core/vector.hpp
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include/pw/core/matrix.hpp
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include/pw/core/vector.hpp
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# include/pw/core/quaternion.hpp
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# include/pw/core/serialize.hpp
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include/pw/core/image.hpp
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@ -14,7 +14,7 @@ set(hdrs
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include/pw/core/rect.hpp
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include/pw/core/size.hpp
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include/pw/core/timer.hpp
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# include/pw/core/mesh.hpp
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include/pw/core/mesh.hpp
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include/pw/core/globals.hpp
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include/pw/core/image.hpp
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)
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@ -23,7 +23,7 @@ set(srcs
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# src/buffer.cpp
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src/image.cpp
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src/debug.cpp
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# src/mesh.cpp
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src/mesh.cpp
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src/core.cpp
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# src/serialize.cpp
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src/timer.cpp
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@ -32,6 +32,197 @@
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namespace pw {
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template <typename T, std::size_t R,std::size_t C,bool RowMajor = false>
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struct matrix_ : matrixbase_<T, matrix_<T, R, C>> {
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T data[R*C];
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matrix_() = default;
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matrix_(const matrix_<T,R,C,RowMajor>& other)
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{
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*this = other;
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}
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matrix_& operator = (const matrix_<T,R,C,RowMajor>& other)
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{
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for (size_t i = 0; i < other.size();i++) (*this)[i] = other[i];
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return *this;
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}
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template <typename... Arguments>
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matrix_(Arguments ...values)
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: data {values... }
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{
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static_assert(sizeof...(Arguments) == R*C,
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"Incorrect number of arguments");
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}
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//! rows
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inline std::size_t rows() const { return R; }
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//! return number of columns
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inline std::size_t cols() const { return C; }
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//! get cell count
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inline std::size_t coefficients() const { return this->size(); }
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inline size_t offset(size_t r,size_t c) const {
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return (RowMajor) ? r * C + c : c * R + r;
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}
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inline T& operator () (std::size_t r, std::size_t c) {
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return data[offset(r,c)];
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}
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inline const T& operator () (std::size_t r, std::size_t c) const {
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return data[offset(r,c)];
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}
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//! set identity
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inline matrix_& set_identity()
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{
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for (unsigned int r = 0;r < rows(); r++)
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for (unsigned int c = 0; c < cols(); c++)
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this->at(r,c) = (c == r) ? T(1) : T(0);
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return *this;
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}
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template<std::size_t Rs,std::size_t Cs,bool RowMajorSlice = RowMajor>
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matrix_<T,Rs,Cs,RowMajorSlice> slice(std::size_t r,std::size_t c) const
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{
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matrix_<T,Rs,Cs,RowMajorSlice> s;
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for (std::size_t ri = 0;ri < Rs;ri++)
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for (std::size_t ci = 0;ci < Cs;ci++)
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s(ri,ci) = (*this)(ri+r,ci+c);
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return s;
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}
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template<std::size_t Rs,std::size_t Cs,bool RowMajorSlice = RowMajor>
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matrix_& set_slice(const matrix_<T,Rs,Cs,RowMajorSlice>& s,std::size_t r,std::size_t c)
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{
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for (std::size_t ri = 0;ri < Rs;ri++)
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for (std::size_t ci = 0;ci < Cs;ci++)
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(*this)(ri+r,ci+c) = s(ri,ci);
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return *this;
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}
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template<std::size_t Rs,std::size_t Cs,bool RowMajorSlice = RowMajor>
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matrix_<T,Rs,Cs,RowMajorSlice> minor(std::size_t r0,std::size_t c0) const
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{
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matrix_<T,Rs,Cs,RowMajorSlice> m;
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size_t r = 0;
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for (size_t ri = 0; ri < R; ri++) {
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size_t c = 0;
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if (ri == r0)
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continue;
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for (size_t ci = 0; ci < C; ci++)
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{
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if (ci == c0)
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continue;
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m(r,c) = (*this)(ri,ci);
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c++;
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}
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r++;
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}
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return m;
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}
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T determinant() const {
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T det(0);
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for (size_t c = 0; c < C; c++)
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det += ((c % 2 == 0) ? (*this)(0,c) : -(*this)(0,c))
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* this->minor<R-1,C-1,RowMajor>(0,c).determinant();
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return det;
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}
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matrix_<T,C,R,RowMajor> transposed() const {
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matrix_<T,C,R,RowMajor> res;
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for (size_t r = this->rows();r-->0;)
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for (size_t c = this->cols();c-->0;)
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res(c,r) = (*this)(r,c);
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return res;
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}
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matrix_<T,C,R,RowMajor> inverse() const {
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T invDet = T(1) / this->determinant();
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matrix_<T,C,R,RowMajor> inv;
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for (int j = 0; j < C; j++)
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for (int i = 0; i < R; i++)
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{
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const T minorDet = this->minor<R-1,C-1,RowMajor>(j,i).determinant();
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const T coFactor = ((i + j) % 2 == 1) ? -minorDet : minorDet;
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inv(i, j) = invDet * coFactor;
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}
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return inv;
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}
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inline bool row_major() const {
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return RowMajor;
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}
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inline bool square() const { return R == C; }
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};
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template <> inline
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float matrix_<float,1,1>::determinant() const
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{
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return (*this)(0,0);
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}
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template <> inline
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double matrix_<double,1,1>::determinant() const
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{
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return (*this)(0,0);
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}
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template <typename T, std::size_t R, std::size_t Ca,std::size_t Cb>
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auto operator * (const matrix_<T, R, Ca>& A,
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const matrix_<T, R, Cb>& B
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)
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{
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matrix_<T,R,Cb> result; result.zero(); // zero the output
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for (size_t r = 0; r < R; r++)
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for (size_t c = 0; c < Cb; c++)
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for (size_t iI = 0; iI < R; iI++)
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result(r,c) += A(r,iI) * B(iI,c); // inner product
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return result;
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}
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//
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//
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//
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template <typename T> using matrix2x2_ = matrix_<T, 2, 2>;
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template <typename T> using matrix3x3_ = matrix_<T, 3, 3>;
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template <typename T> using matrix4x4_ = matrix_<T, 4, 4>;
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using matrix2x2f = matrix_<float, 2, 2>;
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using matrix2x2d = matrix_<double, 2, 2>;
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using matrix2x2 = matrix_<real_t, 2, 2>;
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using matrix3x3f = matrix_<float, 3, 3>;
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using matrix3x3d = matrix_<double, 3, 3>;
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using matrix3x3 = matrix_<real_t, 3, 3>;
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using matrix4x4f = matrix_<float, 4, 4>;
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using matrix4x4d = matrix_<double, 4, 4>;
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using matrix4x4 = matrix_<real_t, 4, 4>;
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}
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#if __OLD
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template <unsigned int R, unsigned int C, typename T>
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class matrix_ : public matrixbase<T> {
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@ -633,6 +824,7 @@ typedef matrix4x4_<float> matrix4x4f;
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}
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#endif
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#endif
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@ -30,6 +30,7 @@
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#include <type_traits>
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#include <utility>
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#include <initializer_list>
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#include <cmath>
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#include <iostream>
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@ -54,9 +55,26 @@ struct matrixbase_ {
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}
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T trace() const {
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return std::accumulate(std::begin(derived().data),std::end(derived().data),T());
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return std::accumulate(std::begin(derived().data),std::end(derived().data),T(0));
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}
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inline T squared_norm() const {
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return std::accumulate(std::begin(derived().data),std::end(derived().data), T(0),
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[&](const T& a,const T& b){
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return a + b * b;
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});
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}
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inline T norm() const {
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return std::sqrt(squared_norm());
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}
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inline Derived& normalize() {
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(*this) /= this->norm();
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return derived();
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}
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using iterator = T*;
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using const_iterator = const T*;
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iterator begin() { return &derived().data[0]; }
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@ -73,226 +91,18 @@ struct matrixbase_ {
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}
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inline Derived& operator *= (const T& b) { for (auto & e : *this) e *= b; return derived(); }
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inline Derived& operator /= (const T& b) { for (auto & e : *this) e *= b; return derived(); }
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inline Derived& operator += (const T& b) { for (auto & e : *this) e *= b; return derived(); }
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inline Derived& operator -= (const T& b) { for (auto & e : *this) e *= b; return derived(); }
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};
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inline Derived& operator /= (const T& b) { for (auto & e : *this) e /= b; return derived(); }
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inline Derived& operator += (const T& b) { for (auto & e : *this) e += b; return derived(); }
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inline Derived& operator -= (const T& b) { for (auto & e : *this) e -= b; return derived(); }
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template <typename T, std::size_t R,std::size_t C,bool RowMajor = false>
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struct matrix_ : matrixbase_<T, matrix_<T, R, C>> {
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T data[R*C];
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matrix_() = default;
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matrix_(const matrix_<T,R,C,RowMajor>& other)
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{
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*this = other;
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}
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matrix_& operator = (const matrix_<T,R,C,RowMajor>& other)
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{
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for (size_t i = 0; i < other.size();i++) (*this)[i] = other[i];
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return *this;
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}
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template <typename... Arguments>
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matrix_(Arguments ...values)
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: data {values... }
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{
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static_assert(sizeof...(Arguments) == R*C,
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"Incorrect number of arguments");
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}
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//! rows
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inline std::size_t rows() const { return R; }
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//! return number of columns
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inline std::size_t cols() const { return C; }
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//! get cell count
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inline std::size_t coefficients() const { return R * C; }
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inline size_t offset(size_t r,size_t c) const {
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return (RowMajor) ? r * C + c : c * R + r;
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}
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inline T& operator () (std::size_t r, std::size_t c) {
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return data[offset(r,c)];
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}
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inline const T& operator () (std::size_t r, std::size_t c) const {
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return data[offset(r,c)];
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}
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//! set identity
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inline matrix_& set_identity()
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{
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for (unsigned int r = 0;r < rows(); r++)
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for (unsigned int c = 0; c < cols(); c++)
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this->at(r,c) = (c == r) ? T(1) : T(0);
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return *this;
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}
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template<std::size_t Rs,std::size_t Cs,bool RowMajorSlice = RowMajor>
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matrix_<T,Rs,Cs,RowMajorSlice> slice(std::size_t r,std::size_t c) const
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{
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matrix_<T,Rs,Cs,RowMajorSlice> s;
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for (std::size_t ri = 0;ri < Rs;ri++)
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for (std::size_t ci = 0;ci < Cs;ci++)
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s(ri,ci) = (*this)(ri+r,ci+c);
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return s;
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}
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template<std::size_t Rs,std::size_t Cs,bool RowMajorSlice = RowMajor>
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matrix_& set_slice(const matrix_<T,Rs,Cs,RowMajorSlice>& s,std::size_t r,std::size_t c)
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{
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for (std::size_t ri = 0;ri < Rs;ri++)
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for (std::size_t ci = 0;ci < Cs;ci++)
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(*this)(ri+r,ci+c) = s(ri,ci);
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return *this;
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}
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template<std::size_t Rs,std::size_t Cs,bool RowMajorSlice = RowMajor>
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matrix_<T,Rs,Cs,RowMajorSlice> minor(std::size_t r0,std::size_t c0) const
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{
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matrix_<T,Rs,Cs,RowMajorSlice> m;
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size_t r = 0;
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for (size_t ri = 0; ri < R; ri++) {
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size_t c = 0;
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if (ri == r0)
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continue;
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for (size_t ci = 0; ci < C; ci++)
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{
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if (ci == c0)
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continue;
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m(r,c) = (*this)(ri,ci);
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c++;
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}
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r++;
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}
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return m;
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}
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T determinant() const {
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T det(0);
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for (size_t c = 0; c < C; c++)
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det += ((c % 2 == 0) ? (*this)(0,c) : -(*this)(0,c))
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* this->minor<R-1,C-1,RowMajor>(0,c).determinant();
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return det;
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}
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matrix_<T,C,R,RowMajor> transposed() const {
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matrix_<T,C,R,RowMajor> res;
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for (size_t r = this->rows();r-->0;)
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for (size_t c = this->cols();c-->0;)
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res(c,r) = (*this)(r,c);
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return res;
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}
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matrix_<T,C,R,RowMajor> inverse() const {
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T invDet = T(1) / this->determinant();
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matrix_<T,C,R,RowMajor> inv;
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for (int j = 0; j < C; j++)
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for (int i = 0; i < R; i++)
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{
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const T minorDet = this->minor<R-1,C-1,RowMajor>(j,i).determinant();
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const T coFactor = ((i + j) % 2 == 1) ? -minorDet : minorDet;
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inv(i, j) = invDet * coFactor;
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}
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return inv;
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}
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inline bool row_major() const {
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return RowMajor;
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}
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inline bool square() const { return R == C; }
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};
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template <> inline
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float matrix_<float,1,1>::determinant() const
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{
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return (*this)(0,0);
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}
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template <> inline
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double matrix_<double,1,1>::determinant() const
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{
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return (*this)(0,0);
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}
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template <typename T, std::size_t R, std::size_t Ca,std::size_t Cb>
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auto operator * (const matrix_<T, R, Ca>& A,
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const matrix_<T, R, Cb>& B
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)
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{
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matrix_<T,R,Cb> result; result.zero(); // zero the output
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for (size_t r = 0; r < R; r++)
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for (size_t c = 0; c < Cb; c++)
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for (size_t iI = 0; iI < R; iI++)
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result(r,c) += A(r,iI) * B(iI,c); // inner product
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return result;
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}
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//
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//
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//
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template <typename T, std::size_t N,bool RowMajor = false>
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struct vector_ : matrix_<T, N, 1, RowMajor>
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{
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typedef matrix_<T, N, 1, RowMajor> derived_type;
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vector_() = default;
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vector_(const derived_type& rhs) : derived_type(rhs) {}
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template <typename... Arguments>
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vector_(Arguments ...values)
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: derived_type( { values...} )
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{
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static_assert(sizeof...(Arguments) == N,
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"Incorrect number of arguments");
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}
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};
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template <typename T, typename U, std::size_t N,bool RowMajor = false>
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auto operator * (const vector_<T, N, RowMajor>& a, const vector_<U, N, RowMajor>& b)
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-> vector_<decltype(a[0] * b[0]), N, RowMajor> {
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vector_<decltype(a[0] * b[0]), N, RowMajor> result;
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for (std::size_t i = 0; i < N; ++i) {
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result[i] = a[i] * b[i];
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}
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return result;
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}
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template <typename T, typename U, std::size_t N,bool RowMajor = false>
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auto dot(const vector_<T, N, RowMajor>& a, const vector_<U, N, RowMajor>& b)
|
||||
-> decltype(a[0] * b[0]) {
|
||||
auto product = a * b;
|
||||
using V = decltype(product.x);
|
||||
return std::accumulate(std::begin(product), std::end(product), V(0));
|
||||
}
|
||||
|
||||
|
||||
//
|
||||
//
|
||||
//
|
||||
|
||||
template <typename T> using matrix2x2_ = matrix_<T, 2, 2>;
|
||||
template <typename T> using matrix3x3_ = matrix_<T, 3, 3>;
|
||||
template <typename T> using matrix4x4_ = matrix_<T, 4, 4>;
|
||||
|
||||
using matrix2x2f = matrix_<float, 2, 2>;
|
||||
|
||||
template <typename T> using vector2_ = vector_<T, 2>;
|
||||
template <typename T> using vector3_ = vector_<T, 3>;
|
||||
template <typename T> using vector4_ = vector_<T, 4>;
|
||||
using vector2f = vector2_<float>;
|
||||
|
||||
|
||||
///**
|
||||
|
|
|
@ -27,6 +27,70 @@
|
|||
|
||||
namespace pw {
|
||||
|
||||
|
||||
template <typename T, std::size_t N,bool RowMajor = false>
|
||||
struct vector_ : matrix_<T, N, 1, RowMajor>
|
||||
{
|
||||
typedef matrix_<T, N, 1, RowMajor> derived_type;
|
||||
|
||||
vector_() = default;
|
||||
vector_(const derived_type& rhs) : derived_type(rhs) {}
|
||||
|
||||
template <typename... Arguments>
|
||||
vector_(Arguments ...values)
|
||||
: derived_type( { values...} )
|
||||
{
|
||||
static_assert(sizeof...(Arguments) == N,
|
||||
"Incorrect number of arguments");
|
||||
}
|
||||
};
|
||||
|
||||
template <typename T, typename U, std::size_t N,bool RowMajor = false>
|
||||
auto operator * (const vector_<T, N, RowMajor>& a, const vector_<U, N, RowMajor>& b)
|
||||
-> vector_<decltype(a[0] * b[0]), N, RowMajor> {
|
||||
vector_<decltype(a[0] * b[0]), N, RowMajor> result;
|
||||
for (std::size_t i = 0; i < N; ++i) {
|
||||
result[i] = a[i] * b[i];
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
template <typename T, typename U, std::size_t N,bool RowMajor = false>
|
||||
auto dot(const vector_<T, N, RowMajor>& a, const vector_<U, N, RowMajor>& b)
|
||||
-> decltype(a[0] * b[0]) {
|
||||
auto product = a * b;
|
||||
using V = decltype(product.x);
|
||||
return std::accumulate(std::begin(product), std::end(product), V(0));
|
||||
}
|
||||
|
||||
|
||||
//
|
||||
//
|
||||
//
|
||||
|
||||
template <typename T> using vector2_ = vector_<T, 2>;
|
||||
template <typename T> using vector3_ = vector_<T, 3>;
|
||||
template <typename T> using vector4_ = vector_<T, 4>;
|
||||
|
||||
using vector2f = vector2_<float>;
|
||||
using vector2d = vector2_<double>;
|
||||
using vector2 = vector2_<real_t>;
|
||||
|
||||
using vector3f = vector3_<float>;
|
||||
using vector3d = vector3_<double>;
|
||||
using vector3 = vector3_<real_t>;
|
||||
|
||||
using vector4f = vector4_<float>;
|
||||
using vector4d = vector4_<double>;
|
||||
using vector4 = vector4_<real_t>;
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
#if ___OLDSTUFF
|
||||
|
||||
template <unsigned int components,typename T>
|
||||
class vector_ : public matrix_<components,1,T> {
|
||||
public:
|
||||
|
@ -213,6 +277,6 @@ typedef vector4_<unsigned int> vector4ui;
|
|||
|
||||
|
||||
|
||||
|
||||
#endif
|
||||
|
||||
#endif
|
||||
|
|
|
@ -9,7 +9,7 @@ void mesh::apply(const matrix4x4 &m)
|
|||
{
|
||||
// v = vector4(m * v.project(1)).un_project();
|
||||
|
||||
auto vh = v.project(1);
|
||||
// auto vh = v.project(1);
|
||||
// m.mul(vh);
|
||||
}
|
||||
}
|
||||
|
|
|
@ -1,7 +1,8 @@
|
|||
|
||||
#include <pw/core/matrixbase.hpp>
|
||||
|
||||
//#include <pw/core/matrix.hpp>
|
||||
#include <pw/core/matrix.hpp>
|
||||
#include <pw/core/vector.hpp>
|
||||
|
||||
//#include <pw/core/serialize.hpp>
|
||||
|
||||
#include <pw/core/debug.hpp>
|
||||
|
@ -62,6 +63,12 @@ int main(int argc,char **argv) {
|
|||
std::cout << "v2_f " << v2_f << std::endl;
|
||||
std::cout << "v2_b " << v2_b << std::endl;
|
||||
|
||||
std::cout << "v2_b.norm " << v2_b.norm() << std::endl;
|
||||
|
||||
v2_b.normalize();
|
||||
std::cout << "v2_b.normalized " << v2_b << std::endl;
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
|
Loading…
Add table
Add a link
Reference in a new issue