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/** \file smoke/intern/tnt/tnt_array2d_utils.h
* \ingroup smoke
*/
/*
*
* Template Numerical Toolkit (TNT)
*
* Mathematical and Computational Sciences Division
* National Institute of Technology,
* Gaithersburg, MD USA
*
*
* This software was developed at the National Institute of Standards and
* Technology (NIST) by employees of the Federal Government in the course
* of their official duties. Pursuant to title 17 Section 105 of the
* United States Code, this software is not subject to copyright protection
* and is in the public domain. NIST assumes no responsibility whatsoever for
* its use by other parties, and makes no guarantees, expressed or implied,
* about its quality, reliability, or any other characteristic.
*
*/
#ifndef TNT_ARRAY2D_UTILS_H
#define TNT_ARRAY2D_UTILS_H
#include <cstdlib>
#include <cassert>
namespace TNT
{
template <class T>
std::ostream& operator<<(std::ostream &s, const Array2D<T> &A)
{
int M=A.dim1();
int N=A.dim2();
s << M << " " << N << "\n";
for (int i=0; i<M; i++)
{
for (int j=0; j<N; j++)
{
s << A[i][j] << " ";
}
s << "\n";
}
return s;
}
template <class T>
std::istream& operator>>(std::istream &s, Array2D<T> &A)
{
int M, N;
s >> M >> N;
Array2D<T> B(M,N);
for (int i=0; i<M; i++)
for (int j=0; j<N; j++)
{
s >> B[i][j];
}
A = B;
return s;
}
template <class T>
Array2D<T> operator+(const Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() != m || B.dim2() != n )
return Array2D<T>();
else
{
Array2D<T> C(m,n);
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
C[i][j] = A[i][j] + B[i][j];
}
return C;
}
}
template <class T>
Array2D<T> operator-(const Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() != m || B.dim2() != n )
return Array2D<T>();
else
{
Array2D<T> C(m,n);
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
C[i][j] = A[i][j] - B[i][j];
}
return C;
}
}
template <class T>
Array2D<T> operator*(const Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() != m || B.dim2() != n )
return Array2D<T>();
else
{
Array2D<T> C(m,n);
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
C[i][j] = A[i][j] * B[i][j];
}
return C;
}
}
template <class T>
Array2D<T> operator/(const Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() != m || B.dim2() != n )
return Array2D<T>();
else
{
Array2D<T> C(m,n);
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
C[i][j] = A[i][j] / B[i][j];
}
return C;
}
}
template <class T>
Array2D<T>& operator+=(Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() == m || B.dim2() == n )
{
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
A[i][j] += B[i][j];
}
}
return A;
}
template <class T>
Array2D<T>& operator-=(Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() == m || B.dim2() == n )
{
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
A[i][j] -= B[i][j];
}
}
return A;
}
template <class T>
Array2D<T>& operator*=(Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() == m || B.dim2() == n )
{
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
A[i][j] *= B[i][j];
}
}
return A;
}
template <class T>
Array2D<T>& operator/=(Array2D<T> &A, const Array2D<T> &B)
{
int m = A.dim1();
int n = A.dim2();
if (B.dim1() == m || B.dim2() == n )
{
for (int i=0; i<m; i++)
{
for (int j=0; j<n; j++)
A[i][j] /= B[i][j];
}
}
return A;
}
/**
Matrix Multiply: compute C = A*B, where C[i][j]
is the dot-product of row i of A and column j of B.
@param A an (m x n) array
@param B an (n x k) array
@return the (m x k) array A*B, or a null array (0x0)
if the matrices are non-conformant (i.e. the number
of columns of A are different than the number of rows of B.)
*/
template <class T>
Array2D<T> matmult(const Array2D<T> &A, const Array2D<T> &B)
{
if (A.dim2() != B.dim1())
return Array2D<T>();
int M = A.dim1();
int N = A.dim2();
int K = B.dim2();
Array2D<T> C(M,K);
for (int i=0; i<M; i++)
for (int j=0; j<K; j++)
{
T sum = 0;
for (int k=0; k<N; k++)
sum += A[i][k] * B [k][j];
C[i][j] = sum;
}
return C;
}
} // namespace TNT
#endif
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