// Copyright ©2013 The Gonum Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

package mat

// CMatrix is the basic matrix interface type for complex matrices.
type CMatrix interface {
	// Dims returns the dimensions of a Matrix.
	Dims() (r, c int)

	// At returns the value of a matrix element at row i, column j.
	// It will panic if i or j are out of bounds for the matrix.
	At(i, j int) complex128

	// H returns the conjugate transpose of the Matrix. Whether H
	// returns a copy of the underlying data is implementation dependent.
	// This method may be implemented using the Conjugate type, which
	// provides an implicit matrix conjugate transpose.
	H() CMatrix
}

var (
	_ CMatrix      = Conjugate{}
	_ Unconjugator = Conjugate{}
)

// Conjugate is a type for performing an implicit matrix conjugate transpose.
// It implements the Matrix interface, returning values from the conjugate
// transpose of the matrix within.
type Conjugate struct {
	CMatrix CMatrix
}

// At returns the value of the element at row i and column j of the transposed
// matrix, that is, row j and column i of the Matrix field.
func (t Conjugate) At(i, j int) complex128 {
	z := t.CMatrix.At(j, i)
	return complex(real(z), -imag(z))
}

// Dims returns the dimensions of the transposed matrix. The number of rows returned
// is the number of columns in the Matrix field, and the number of columns is
// the number of rows in the Matrix field.
func (t Conjugate) Dims() (r, c int) {
	c, r = t.CMatrix.Dims()
	return r, c
}

// H performs an implicit conjugate transpose by returning the Matrix field.
func (t Conjugate) H() CMatrix {
	return t.CMatrix
}

// Unconjugate returns the Matrix field.
func (t Conjugate) Unconjugate() CMatrix {
	return t.CMatrix
}

// Unconjugator is a type that can undo an implicit conjugate transpose.
type Unconjugator interface {
	// Note: This interface is needed to unify all of the Conjugate types. In
	// the cmat128 methods, we need to test if the Matrix has been implicitly
	// transposed. If this is checked by testing for the specific Conjugate type
	// then the behavior will be different if the user uses H() or HTri() for a
	// triangular matrix.

	// Unconjugate returns the underlying Matrix stored for the implicit
	// conjugate transpose.
	Unconjugate() CMatrix
}