我正在尝试将类模板用于矩阵。但是我遇到了矩阵乘法的问题。
template<typename T, unsigned int N, unsigned int M>
class Matrix : public MatrixBase<Matrix<T, N, M>, T, N, M> {
template<unsigned int K>
friend Matrix<T, N, K> operator*(const Matrix<T, N, M>& m1, const Matrix<T, M, K>& m2) {
Matrix<T, N, K> ret;
for (unsigned int n = 0; n != N; n++) {
for (unsigned int k = 0; k != K; k++) {
ret.i[n][k] = 0;
for (unsigned int m = 0; m != M; m++) {
ret.i[n][k] += m1.i[n][m]*m2.i[m][k];
}
}
}
return ret;
}
};
当涉及到将两个 mat4(4x4 矩阵)相乘时,如下所示:
m_model = (m_view*m_model);
它给出错误 Invalid operands to binary expression ('mat4' (aka 'Matrix<float, 4, 4>') and 'mat4')
.在线查看后,我发现这不是函数模板的预期用途,因为您必须在调用模板参数时进行分配。有没有一种类似于我最初打算的解决方法,即根据函数的第二个参数自动分配模板参数?
这里分别是 MatrixBase 和 Matrix(aka mat4) 的定义:
矩阵基
template<typename T , unsigned int M>
struct ComponentColumn{
T& operator[](int m) {
return i[m];
}
const T& operator[](int m) const {
return i[m];
}
T i[M];
};
//-----------MATRIXBASE-----------
template <typename ChildT, typename T, unsigned int N, unsigned int M>
class MatrixBase {
public:
MatrixBase() {}
MatrixBase<ChildT, T, N, M> operator*=(const MatrixBase<ChildT, T, N, M>& m1) {
MatrixBase<ChildT, T, N, M> ret;
for (unsigned int n = 0; n != N; n++) {
for (int k = 0; k != M; k++) {
ret.i[n][k] = 0;
for (unsigned int m = 0; m != M; m++) {
ret.i[n][k] += (*this).i[n][m]*m1.i[m][k];
}
}
}
*this = ret;
return ret;
}
MatrixBase<ChildT, T, N, M> operator+(const MatrixBase<ChildT, T, N, M>& m1) {
MatrixBase<ChildT, T, N, M> ret;
for (int n = 0; n != N; n++) {
for (int m = 0; m != M; m++) {
ret.i[n][m] = i[n][m];
}
}
return ret;
}
ComponentColumn<T, M>& operator[](int n) {
return this->i[n];
}
const ComponentColumn<T, M>& operator[](int n) const {
return this->i[n];
}
explicit operator T*() {
return &(*this)[0][0];
}
protected:
ComponentColumn<T, M> i[N];
};
垫4
template<typename T>
class Matrix<T, 4, 4> : public MatrixBase<Matrix<T, 4, 4>, T, 4, 4> {
public:
Matrix<T, 4, 4>() {
for (unsigned int n = 0; n != 4; n++) {
for (unsigned int m = 0; m != 4; m++) {
if (n == m) {
(*this)[n][m] = 1;
} else {
(*this)[n][m] = 0;
}
}
}
}
Matrix<T, 4, 4>(const Matrix<T, 3, 3>& m) {
(*this)[0][0] = m[0][0]; (*this)[1][0] = m[1][0]; (*this)[2][0] = m[2][0]; (*this)[3][0] = 0;
(*this)[0][1] = m[0][1]; (*this)[1][1] = m[1][1]; (*this)[2][1] = m[2][1]; (*this)[3][1] = 0;
(*this)[0][2] = m[0][2]; (*this)[1][2] = m[1][2]; (*this)[2][2] = m[2][2]; (*this)[3][2] = 0;
(*this)[0][3] = 0; (*this)[1][3] = 0; (*this)[2][3] = 0; (*this)[3][3] = 1;
}
static Matrix<T, 4, 4> Translate(T x, T y, T z);
static Matrix<T, 4, 4> Translate(const vec3& v);
static Matrix<T, 4, 4> Scale(T s);
static Matrix<T, 4, 4> Rotate(T degrees);
static Matrix<T, 4, 4> Frustum(T left, T right, T bottom, T top, T near, T far);
explicit operator Matrix<T, 3, 3>() {
Matrix<T, 3, 3> ret;
for (int n = 0; n != 3; n++) {
for (int m = 0; m != 3; m++) {
ret[n][m] = (*this)[n][m];
}
}
return ret;
}
Matrix<T, 4, 4> Transpose() {
Matrix<T, 4, 4> ret = Matrix<T, 4, 4>();
for (unsigned int n = 0; n != 4; n++) {
for (unsigned int m = 0; m != 4; m++) {
ret.i[n][m] = this->i[m][n];
}
}
*this = ret;
return ret;
}
Matrix<T, 4, 4> Inverse();
};
最佳答案
除非你这样做是为了练习,这将是一个很好的练习,否则我只会使用一个现有的线性代数库来实现矩阵 vector 运算。如 Armadillo :http://arma.sourceforge.net/
关于c++ - 在 C++ 中使用模板进行矩阵乘法,我们在Stack Overflow上找到一个类似的问题: https://stackoverflow.com/questions/33585004/