Transposition

Detailed Description

Matrix and vector transposition.

Collaboration diagram for Transposition:

Functions
Matrix	explicit_transpose (const Matrix &in)
	Matrix transpose for general matrices. More...
Matrix	transpose (const Matrix &in)
	Matrix transpose for rectangular or square matrices and row or column vectors. More...
Matrix &&	transpose (Matrix &&in)
	Matrix transpose for rectangular or square matrices and row or column vectors. More...
SquareMatrix	transpose (const SquareMatrix &in)
	Square matrix transpose. More...
SquareMatrix &&	transpose (SquareMatrix &&in)
	Square matrix transpose. More...
RowVector	transpose (const Vector &in)
	Vector transpose. More...
RowVector	transpose (Vector &&in)
	Vector transpose. More...
Vector	transpose (const RowVector &in)
	Vector transpose. More...
Vector	transpose (RowVector &&in)
	Vector transpose. More...
PermutationMatrix	transpose (const PermutationMatrix &P)
	Transpose a permutation matrix (inverse permutation). More...
PermutationMatrix &&	transpose (PermutationMatrix &&P)
	Transpose a permutation matrix (inverse permutation). More...

Function Documentation

explicit_transpose()

Matrix explicit_transpose

(

const Matrix &

in

)

Matrix transpose for general matrices.

Implementation

Matrix explicit_transpose(const Matrix &in) {
    Matrix out(in.cols(), in.rows());
    for (size_t n = 0; n < in.rows(); ++n)
        for (size_t m = 0; m < in.cols(); ++m)
            out(m, n) = in(n, m);
    return out;
}

Definition at line 1050 of file Matrix.cpp.

transpose() [1/10]

Matrix transpose

(

const Matrix &

in

)

Matrix transpose for rectangular or square matrices and row or column vectors.

Implementation

Matrix transpose(const Matrix &in) {
    if (in.rows() == 1 || in.cols() == 1) { // Vectors
        Matrix out = in;
        out.reshape(in.cols(), in.rows());
        return out;
    } else { // General matrices (square and rectangular)
        return explicit_transpose(in);
    }
}

Examples

Basics.cpp.

Definition at line 1064 of file Matrix.cpp.

transpose() [2/10]

Matrix&& transpose

(

Matrix &&

in

)

Matrix transpose for rectangular or square matrices and row or column vectors.

Implementation

Matrix &&transpose(Matrix &&in) {
    if (in.rows() == in.cols())                // Square matrices
        SquareMatrix::transpose_inplace(in);   //     → reuse storage
    else if (in.rows() == 1 || in.cols() == 1) // Vectors
        in.reshape(in.cols(), in.rows());      //     → reshape row ↔ column
    else                                       // General rectangular matrices
        in = explicit_transpose(in);           //     → full transpose
    return std::move(in);
}

Definition at line 1080 of file Matrix.cpp.

transpose() [3/10]

SquareMatrix transpose

(

const SquareMatrix &

in

)

Square matrix transpose.

Definition at line 1091 of file Matrix.cpp.

transpose() [4/10]

SquareMatrix&& transpose

(

SquareMatrix &&

in

)

Square matrix transpose.

Definition at line 1096 of file Matrix.cpp.

transpose() [5/10]

RowVector transpose

(

const Vector &

in

)

Vector transpose.

Definition at line 1101 of file Matrix.cpp.

transpose() [6/10]

RowVector transpose

(

Vector &&

in

)

Vector transpose.

Definition at line 1102 of file Matrix.cpp.

transpose() [7/10]

Vector transpose

(

const RowVector &

in

)

Vector transpose.

Definition at line 1103 of file Matrix.cpp.

transpose() [8/10]

Vector transpose

(

RowVector &&

in

)

Vector transpose.

Definition at line 1104 of file Matrix.cpp.

transpose() [9/10]

PermutationMatrix transpose ( const PermutationMatrix &  P )

inline

Transpose a permutation matrix (inverse permutation).

Definition at line 358 of file PermutationMatrix.hpp.

transpose() [10/10]

PermutationMatrix&& transpose ( PermutationMatrix &&  P )

inline

Transpose a permutation matrix (inverse permutation).

Definition at line 364 of file PermutationMatrix.hpp.