#include<iostream>
#include<vector>
#include<random>
template<const size_t R, const size_t C>
class Matrix
{
public:
using row_type = int[C];
private: // attributes
int m_data[R][C];
public: // construction/assignment
Matrix ();
Matrix (const Matrix& source);
Matrix (Matrix&& source);
Matrix& operator= (const Matrix<R,C>& source);
Matrix& operator= (Matrix<R,C>&& source);
~Matrix () {}
public: // accessors
row_type& row (const size_t index) { return m_data[index]; }
const row_type& row (const size_t index) const { return m_data[index]; }
row_type& operator[] (const size_t index) { return m_data[index]; }
const row_type& operator[] (const size_t index) const { return m_data[index]; }
size_t size() const { return R * C; }
size_t rows() const { return R; }
size_t cols() const { return C; }
public: // operations
Matrix<R,C>& operator+= (const Matrix<R,C>&);
Matrix<R,C>& operator-= (const Matrix<R,C>&);
};
template<const size_t R, const size_t C>
Matrix<R,C>::Matrix()
{
for (size_t row=0; row<R; ++row)
for (size_t col=0; col<C; ++col)
m_data[row][col] = 0;
}
template<const size_t R, const size_t C>
Matrix<R,C>::Matrix(const Matrix<R,C>& source)
{
for (size_t row=0; row<R; ++row)
for (size_t col=0; col<C; ++col)
m_data[row][col] = source.m_data[row][col];
}
template<const size_t R, const size_t C>
Matrix<R,C>::Matrix(Matrix<R,C>&& source)
{
for (size_t row=0; row<R; ++row)
for (size_t col=0; col<C; ++col)
m_data[row][col] = std::move (source.m_data[row][col]);
}
template<const size_t R, const size_t C>
Matrix<R,C>& Matrix<R,C>::operator= (const Matrix<R,C>& source)
{
for (size_t row=0; row<R; ++row)
for (size_t col=0; col<C; ++col)
m_data[row][col] = source.m_data[row][col];
return *this;
}
template<const size_t R, const size_t C>
Matrix<R,C>& Matrix<R,C>::operator= (Matrix<R,C>&& source)
{
for (size_t row=0; row<R; ++row)
for (size_t col=0; col<C; ++col)
m_data[row][col] = std::move (source.m_data[row][col]);
return *this;
}
template<const size_t R, const size_t C>
Matrix<R,C>& Matrix<R,C>::operator+= (const Matrix<R,C>& rhs)
{
for (size_t row=0; row<R; ++row)
for (size_t col=0; col<C; ++col)
m_data[row][col] += rhs.m_data[row][col];
return *this;
}
template<const size_t R, const size_t C>
Matrix<R,C>& Matrix<R,C>::operator-= (const Matrix<R,C>& rhs)
{
for (size_t row=0; row<R; ++row)
for (size_t col=0; col<C; ++col)
m_data[row][col] -= rhs.m_data[row][col];
return *this;
}
template<const size_t R, const size_t C>
Matrix<R,C> operator+ (const Matrix<R,C>& lhs, const Matrix<R,C>& rhs)
{
Matrix<R,C> sum (lhs);
return sum += rhs;
}
template<const size_t R, const size_t C>
Matrix<R,C> operator- (const Matrix<R,C>& lhs, const Matrix<R,C>& rhs)
{
Matrix<R,C> sub (lhs);
return sub -= rhs;
}
template<const size_t R, const size_t C, const size_t R1, const size_t C1>
Matrix<R,C1> operator* (const Matrix<R,C>& lhs, const Matrix<R1,C1>& rhs)
{
static_assert (C==R1, "Matrix dimension mismatch!");
Matrix<R,C1> mul;
for (size_t x=0; x!=R; ++x)
{
for (size_t y=0; y!=C1; ++y)
{
int prod = 0;
for (size_t z=0; z!=C; ++z)
{
prod += lhs[x][z] * rhs[z][y];
}
mul[x][y] = prod;
}
}
return mul;
}
template<const size_t R, const size_t C>
std::ostream& operator<< (std::ostream& os, const Matrix<R,C>& m)
{
for (size_t row=0; row<R; ++row)
{
for (size_t col=0; col<C; ++col)
{
std::cout << m[row][col] << '\t';
}
std::cout << std::endl;
}
return os;
}
int main()
{
std::default_random_engine generator;
std::uniform_int_distribution<int> distribution (1,9);
const size_t rows = 2;
const size_t cols = 3;
Matrix<rows, cols> a, b;
for (size_t row=0; row<rows; ++row)
{
for (size_t col=0; col<cols; ++col)
{
a[row][col] = distribution (generator);
b[row][col] = distribution (generator);
}
}
std::cout << "Matrix a:\n\n" << a << '\n' << std::endl;
std::cout << "Matrix b:\n\n" << b << '\n' << std::endl;
std::cout << "Matrix a + b:\n\n" << a + b << '\n' << std::endl;
std::cout << "Matrix a - b:\n\n" << a - b << '\n' << std::endl;
Matrix<cols, rows> c;
for (size_t row=0; row<rows; ++row)
{
for (size_t col=0; col<cols; ++col)
{
c[col][row] = distribution (generator);
}
}
std::cout << "Matrix c:\n\n" << c << '\n' << std::endl;
std::cout << "Matrix a * c:\n\n" << a * c << '\n' << std::endl;
}
+ addition - subtraction* multiplication
An operator in C# performs a specific operation like addition, subtraction, multiplication etc.
addition operator subtraction operator product
There are many: addition, subtraction, multiplication and division are the most common. Each of these operators acts on two numbers to produce a third (which may not be different).
I think you mean operation overlord??? It is the American, Canadian and British offensive on Europe in World War 2. They landed in Normandy on 6th June 1944 (Commonly called D-Day, Day of Days or Deliverance Day) and progressed throughout France liberating Paris on the 25th August. This allowed the allies a foothold in Europe.
multiplication-addition-subtraction-division
MDAS (Multiplication, Division, Addition, Subtraction)
+ addition - subtraction* multiplication
An arithmetic operator is any of the "atomic" operators to do the following math operations: + addition - subtraction / division * multiplication % modulus division
Addition is the inverse of Subtraction. Division is the inverse of Multiplication. and then visa-versa. :-) Addition is the inverse of Subtraction. Division is the inverse of Multiplication. and then visa-versa. :-) the Answer is subtraction
The basic arithmetic operations are addition, subtraction, multiplication and division, although this subject also includes more advanced operations, such as manipulations of percentages, square roots, exponentiation, and logarithmic functions.
An operator in C# performs a specific operation like addition, subtraction, multiplication etc.
An operator is a mapping from one vector space to another.
the fundamental operations in math are, addition +, subtraction -, division /,and multiplication x ..
nope. Multiplication is a form of addition. Division is a form of subtraction.
the inverse of addition is subtraction and the inverse of multiplication is division. Of course, multiplication is just repeated addition so division is just repeated subtraction!
A set of related addition-subtraction or multiplication-division sentences is a fact family.