linalg_sorting Module

Uses

- iso_fortran_env
- lapack
- linalg_errors
- ferror

Interfaces

public interface sort

An interface to the sorting routines.

private subroutine sort_dbl_array(x, ascend)

Sorts an array.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(inout),		dimension(:)	::	x	On input, the array to sort. On output, the sorted array.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.

private subroutine sort_dbl_array_ind(x, ind, ascend, err)

Sorts an array.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(inout),		dimension(:)	::	x	On input, the array to sort. On output, the sorted array.
integer(kind=int32),	intent(inout),		dimension(:)	::	ind	An array, the same size as x, that is sorted along with x. This is often useful as a tracking array.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.
class(errors),	intent(inout),	optional,	target	::	err	An error object to report any errors that occur.

private subroutine sort_cmplx_array(x, ascend)

Sorts an array.

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=real64),	intent(inout),		dimension(:)	::	x	On input, the array to sort. On output, the sorted array.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.

private subroutine sort_cmplx_array_ind(x, ind, ascend, err)

Sorts an array.

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=real64),	intent(inout),		dimension(:)	::	x	On input, the array to sort. On output, the sorted array.
integer(kind=int32),	intent(inout),		dimension(:)	::	ind	An array, the same size as x, that is sorted along with x. This is often useful as a tracking array.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.
class(errors),	intent(inout),	optional,	target	::	err	An error object to report any errors that occur.

private subroutine sort_eigen_cmplx(vals, vecs, ascend, err)

Sorts eigenvalues and their associated eigenvectors.

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=real64),	intent(inout),		dimension(:)	::	vals	On input, an N-element array containing the eigenvalues. On output, the sored eigenvalues.
complex(kind=real64),	intent(inout),		dimension(:,:)	::	vecs	On input, the N-by-N matrix containing the eigenvectors (one vector per column) associated with vals. On output, the sorted eigenvector matrix.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.
class(errors),	intent(inout),	optional,	target	::	err	An error object to report any errors that occur.

private subroutine sort_eigen_dbl(vals, vecs, ascend, err)

Sorts eigenvalues and their associated eigenvectors.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(inout),		dimension(:)	::	vals	On input, an N-element array containing the eigenvalues. On output, the sored eigenvalues.
real(kind=real64),	intent(inout),		dimension(:,:)	::	vecs	On input, the N-by-N matrix containing the eigenvectors (one vector per column) associated with vals. On output, the sorted eigenvector matrix.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.
class(errors),	intent(inout),	optional,	target	::	err	An error object to report any errors that occur.

private subroutine sort_int32_array(x, ascend)

Sorts an array.

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=int32),	intent(inout),		dimension(:)	::	x	On input, the array to sort. On output, the sorted array.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.

private subroutine sort_int32_array_ind(x, ind, ascend, err)

Sorts an array.

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=int32),	intent(inout),		dimension(:)	::	x	On input, the array to sort. On output, the sorted array.
integer(kind=int32),	intent(inout),		dimension(:)	::	ind	An array, the same size as x, that is sorted along with x. This is often useful as a tracking array.
logical,	intent(in),	optional		::	ascend	An optional input that, if specified, controls if the array is sorted in an ascending order (default), or a descending order.
class(errors),	intent(inout),	optional,	target	::	err	An error object to report any errors that occur.