forlab_linalg Module
Uses
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- stdlib_kinds
- forlab_sorting
- stdlib_error
- stdlib_optval
Used by
-
Descendants:
- forlab_linalg_cat
- forlab_linalg_chol
- forlab_linalg_det
- forlab_linalg_diag
- forlab_linalg_diff
- forlab_linalg_eig
- forlab_linalg_eye
- forlab_linalg_inv
- forlab_linalg_linspace
- forlab_linalg_lu
- forlab_linalg_matpow
- forlab_linalg_norm
- forlab_linalg_outer
- forlab_linalg_qr
- forlab_linalg_seq
- forlab_linalg_solve
- forlab_linalg_svd
- forlab_linalg_svdsolve
- forlab_linalg_tri
Interfaces
public interface chol
chol computes Cholesky's decomposition of a symmetric positive definite matrix.
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private module function chol_dp(A) result(L)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A Return Value real(kind=dp), dimension(:, :), allocatable
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private module function chol_sp(A) result(L)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A Return Value real(kind=sp), dimension(:, :), allocatable
public interface det
det computes the matrix determinant.
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private module function det_dp(A, outL, outU) result(det)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A real(kind=dp), intent(inout), optional dimension(:, :), allocatable :: outL real(kind=dp), intent(inout), optional dimension(:, :), allocatable :: outU Return Value real(kind=dp)
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private module function det_sp(A, outL, outU) result(det)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A real(kind=sp), intent(inout), optional dimension(:, :), allocatable :: outL real(kind=sp), intent(inout), optional dimension(:, :), allocatable :: outU Return Value real(kind=sp)
public interface diag
diag creates diagonal matrix or get the diagonal of a matrix.
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private module function diag1_dp(A) result(diag)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A Return Value real(kind=dp), dimension(:), allocatable
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private module function diag1_sp(A) result(diag)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A Return Value real(kind=sp), dimension(:), allocatable
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private module function diag2_dp(x) result(diag)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x Return Value real(kind=dp), dimension(:, :), allocatable
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private module function diag2_sp(x) result(diag)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x Return Value real(kind=sp), dimension(:, :), allocatable
public interface diff
diff computes differences of arrays.
(Specification)
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private pure module function diff_1_dp(x, n) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x integer, intent(in), optional :: n Return Value real(kind=dp), dimension(:), allocatable
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private pure module function diff_1_int16(x, n) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:) :: x integer, intent(in), optional :: n Return Value integer(kind=int16), dimension(:), allocatable
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private pure module function diff_1_int32(x, n) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:) :: x integer, intent(in), optional :: n Return Value integer(kind=int32), dimension(:), allocatable
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private pure module function diff_1_int64(x, n) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:) :: x integer, intent(in), optional :: n Return Value integer(kind=int64), dimension(:), allocatable
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private pure module function diff_1_int8(x, n) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:) :: x integer, intent(in), optional :: n Return Value integer(kind=int8), dimension(:), allocatable
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private pure module function diff_1_sp(x, n) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x integer, intent(in), optional :: n Return Value real(kind=sp), dimension(:), allocatable
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private pure module function diff_2_dp(A, n, dim) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: n integer, intent(in), optional :: dim Return Value real(kind=dp), dimension(:, :), allocatable
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private pure module function diff_2_int16(A, n, dim) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:, :) :: A integer, intent(in), optional :: n integer, intent(in), optional :: dim Return Value integer(kind=int16), dimension(:, :), allocatable
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private pure module function diff_2_int32(A, n, dim) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:, :) :: A integer, intent(in), optional :: n integer, intent(in), optional :: dim Return Value integer(kind=int32), dimension(:, :), allocatable
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private pure module function diff_2_int64(A, n, dim) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:, :) :: A integer, intent(in), optional :: n integer, intent(in), optional :: dim Return Value integer(kind=int64), dimension(:, :), allocatable
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private pure module function diff_2_int8(A, n, dim) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:, :) :: A integer, intent(in), optional :: n integer, intent(in), optional :: dim Return Value integer(kind=int8), dimension(:, :), allocatable
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private pure module function diff_2_sp(A, n, dim) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: n integer, intent(in), optional :: dim Return Value real(kind=sp), dimension(:, :), allocatable
public interface eye
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private module subroutine eye_dp(X)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(out) :: X(:,:) -
private module subroutine eye_sp(X)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(out) :: X(:,:)
public interface horzcat
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private module function horzcat_c_12_dp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:) :: x1 complex(kind=dp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function horzcat_c_12_sp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:) :: x1 complex(kind=sp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function horzcat_c_1_dp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:) :: x1 complex(kind=dp), intent(in), dimension(:) :: x2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function horzcat_c_1_sp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:) :: x1 complex(kind=sp), intent(in), dimension(:) :: x2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function horzcat_c_21_dp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A1 complex(kind=dp), intent(in), dimension(:) :: x2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function horzcat_c_21_sp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A1 complex(kind=sp), intent(in), dimension(:) :: x2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function horzcat_c_2_dp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A1 complex(kind=dp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function horzcat_c_2_sp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A1 complex(kind=sp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function horzcat_i_12_int16(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:) :: x1 integer(kind=int16), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function horzcat_i_12_int32(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:) :: x1 integer(kind=int32), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function horzcat_i_12_int64(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:) :: x1 integer(kind=int64), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function horzcat_i_12_int8(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:) :: x1 integer(kind=int8), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function horzcat_i_1_int16(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:) :: x1 integer(kind=int16), intent(in), dimension(:) :: x2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function horzcat_i_1_int32(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:) :: x1 integer(kind=int32), intent(in), dimension(:) :: x2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function horzcat_i_1_int64(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:) :: x1 integer(kind=int64), intent(in), dimension(:) :: x2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function horzcat_i_1_int8(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:) :: x1 integer(kind=int8), intent(in), dimension(:) :: x2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function horzcat_i_21_int16(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:, :) :: A1 integer(kind=int16), intent(in), dimension(:) :: x2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function horzcat_i_21_int32(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:, :) :: A1 integer(kind=int32), intent(in), dimension(:) :: x2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function horzcat_i_21_int64(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:, :) :: A1 integer(kind=int64), intent(in), dimension(:) :: x2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function horzcat_i_21_int8(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:, :) :: A1 integer(kind=int8), intent(in), dimension(:) :: x2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function horzcat_i_2_int16(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:, :) :: A1 integer(kind=int16), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function horzcat_i_2_int32(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:, :) :: A1 integer(kind=int32), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function horzcat_i_2_int64(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:, :) :: A1 integer(kind=int64), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function horzcat_i_2_int8(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:, :) :: A1 integer(kind=int8), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function horzcat_r_12_dp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x1 real(kind=dp), intent(in), dimension(:, :) :: A2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function horzcat_r_12_sp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x1 real(kind=sp), intent(in), dimension(:, :) :: A2 Return Value real(kind=sp), dimension(:, :), allocatable
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private module function horzcat_r_1_dp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x1 real(kind=dp), intent(in), dimension(:) :: x2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function horzcat_r_1_sp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x1 real(kind=sp), intent(in), dimension(:) :: x2 Return Value real(kind=sp), dimension(:, :), allocatable
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private module function horzcat_r_21_dp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A1 real(kind=dp), intent(in), dimension(:) :: x2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function horzcat_r_21_sp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A1 real(kind=sp), intent(in), dimension(:) :: x2 Return Value real(kind=sp), dimension(:, :), allocatable
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private module function horzcat_r_2_dp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A1 real(kind=dp), intent(in), dimension(:, :) :: A2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function horzcat_r_2_sp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A1 real(kind=sp), intent(in), dimension(:, :) :: A2 Return Value real(kind=sp), dimension(:, :), allocatable
public interface inv
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private module function inv_cdp(A) result(inv)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function inv_csp(A) result(inv)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function inv_rdp(A) result(inv)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A Return Value real(kind=dp), dimension(:, :), allocatable
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private module function inv_rsp(A) result(inv)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A Return Value real(kind=sp), dimension(:, :), allocatable
public interface is_square
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private function is_square_rsp(A) result(is_square)
real(sp) matrix is square or not.
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in) :: A(:,:) Return Value logical
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private function is_square_rdp(A) result(is_square)
real(dp) matrix is square or not.
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in) :: A(:,:) Return Value logical
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private function is_square_csp(A) result(is_square)
complex(sp) matrix is square or not.
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in) :: A(:,:) Return Value logical
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private function is_square_cdp(A) result(is_square)
complex(dp) matrix is square or not.
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in) :: A(:,:) Return Value logical
public interface is_symmetric
-
private function is_symmetric_rsp(A) result(is_symmetric)
real(sp) matrix is symmetric or not.
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in) :: A(:,:) Return Value logical
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private function is_symmetric_rdp(A) result(is_symmetric)
real(dp) matrix is symmetric or not.
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in) :: A(:,:) Return Value logical
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private function is_symmetric_csp(A) result(is_symmetric)
complex(sp) matrix is symmetric or not.
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in) :: A(:,:) Return Value logical
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private function is_symmetric_cdp(A) result(is_symmetric)
complex(dp) matrix is symmetric or not.
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in) :: A(:,:) Return Value logical
public interface linspace
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private pure module subroutine linspace_dp(X, from, to)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(out) :: X(:) real(kind=dp), intent(in) :: from real(kind=dp), intent(in) :: to -
private pure module subroutine linspace_sp(X, from, to)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(out) :: X(:) real(kind=sp), intent(in) :: from real(kind=sp), intent(in) :: to
public interface logspace
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private pure module subroutine logspace_dp(X, from, to)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(out) :: X(:) real(kind=dp), intent(in) :: from real(kind=dp), intent(in) :: to -
private pure module subroutine logspace_sp(X, from, to)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(out) :: X(:) real(kind=sp), intent(in) :: from real(kind=sp), intent(in) :: to
public interface lu
lu computes the LU matrix factorization.
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private module subroutine lu_dp(A, L, U)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A real(kind=dp), intent(out), dimension(:, :), allocatable :: L real(kind=dp), intent(out), dimension(:, :), allocatable :: U -
private module subroutine lu_sp(A, L, U)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A real(kind=sp), intent(out), dimension(:, :), allocatable :: L real(kind=sp), intent(out), dimension(:, :), allocatable :: U
public interface matpow
Calculat matrix power
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private module function matpow_dp(a, num) result(c)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: a integer :: num Return Value real(kind=dp), allocatable, (:,:)
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private module function matpow_sp(a, num) result(c)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: a integer :: num Return Value real(kind=sp), allocatable, (:,:)
public interface norm
norm computes vector and matrix norms.
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private module function norm1_dp(x, p)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x real(kind=dp), intent(in), optional :: p Return Value real(kind=dp)
-
private module function norm1_sp(x, p)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x real(kind=sp), intent(in), optional :: p Return Value real(kind=sp)
-
private module function norm2_dp(A, p)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A real(kind=dp), intent(in), optional :: p Return Value real(kind=dp)
-
private module function norm2_sp(A, p)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A real(kind=sp), intent(in), optional :: p Return Value real(kind=sp)
public interface ones
Creates a rank-1 or rank-2 array filled ones. (Specification)
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private pure function ones_1_default(dim) result(result)
onescreates a rank-1 array, filled completely with1integertype values.Arguments
Type Intent Optional Attributes Name integer, intent(in) :: dim Return Value integer(kind=int8), allocatable, (:)
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private pure function ones_2_default(dim1, dim2) result(result)
onescreates a rank-2 array, filled completely with1integertype values.Arguments
Type Intent Optional Attributes Name integer, intent(in) :: dim1 integer, intent(in) :: dim2 Return Value integer(kind=int8), allocatable, (:,:)
public interface operator(.i.)
Calculate the inverse of a real matrix.
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private module function inv_rsp(A) result(inv)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A Return Value real(kind=sp), dimension(:, :), allocatable
-
private module function inv_rdp(A) result(inv)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A Return Value real(kind=dp), dimension(:, :), allocatable
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private module function inv_csp(A) result(inv)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A Return Value complex(kind=sp), dimension(:, :), allocatable
-
private module function inv_cdp(A) result(inv)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A Return Value complex(kind=dp), dimension(:, :), allocatable
public interface operator(.x.)
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private function rmut_sp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in) :: m1(:,:) real(kind=sp), intent(in) :: m2(:,:) Return Value real(kind=sp) (size(m1,1),size(m2,2))
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private function rmut_dp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in) :: m1(:,:) real(kind=dp), intent(in) :: m2(:,:) Return Value real(kind=dp) (size(m1,1),size(m2,2))
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private function cmut_sp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in) :: m1(:,:) complex(kind=sp), intent(in) :: m2(:,:) Return Value complex(kind=sp) (size(m1,1),size(m2,2))
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private function cmut_dp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in) :: m1(:,:) complex(kind=dp), intent(in) :: m2(:,:) Return Value complex(kind=dp) (size(m1,1),size(m2,2))
-
private function rcmut_sp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in) :: m1(:,:) complex(kind=sp), intent(in) :: m2(:,:) Return Value complex(kind=sp) (size(m1,1),size(m2,2))
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private function rcmut_dp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in) :: m1(:,:) complex(kind=dp), intent(in) :: m2(:,:) Return Value complex(kind=dp) (size(m1,1),size(m2,2))
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private function crmut_sp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in) :: m1(:,:) real(kind=sp), intent(in) :: m2(:,:) Return Value complex(kind=sp) (size(m1,1),size(m2,2))
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private function crmut_dp(m1, m2) result(res)
complex(dp) matrix multiplication
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in) :: m1(:,:) real(kind=dp), intent(in) :: m2(:,:) Return Value complex(kind=dp) (size(m1,1),size(m2,2))
public interface outer
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private module function outer_dp(x, y)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x real(kind=dp), intent(in), dimension(:) :: y Return Value real(kind=dp), dimension(:, :), allocatable
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private module function outer_int16(x, y)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:) :: x integer(kind=int16), intent(in), dimension(:) :: y Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function outer_int32(x, y)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:) :: x integer(kind=int32), intent(in), dimension(:) :: y Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function outer_int64(x, y)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:) :: x integer(kind=int64), intent(in), dimension(:) :: y Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function outer_int8(x, y)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:) :: x integer(kind=int8), intent(in), dimension(:) :: y Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function outer_sp(x, y)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x real(kind=sp), intent(in), dimension(:) :: y Return Value real(kind=sp), dimension(:, :), allocatable
public interface qr
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private module subroutine qr_dp(a, q, r, l)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in) :: a(:,:) real(kind=dp), intent(out), allocatable :: q(:,:) real(kind=dp), intent(out), allocatable :: r(:,:) integer, optional :: l -
private module subroutine qr_sp(a, q, r, l)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in) :: a(:,:) real(kind=sp), intent(out), allocatable :: q(:,:) real(kind=sp), intent(out), allocatable :: r(:,:) integer, optional :: l
public interface seq
seq returns evenly spaced vector.
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private module subroutine seq_dp(X, from, to, by)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(out), dimension(:), allocatable :: X real(kind=dp), intent(in) :: from real(kind=dp), intent(in) :: to real(kind=dp), intent(in), optional :: by -
private module subroutine seq_int16(X, from, to, by)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(out), dimension(:), allocatable :: X integer(kind=int16), intent(in) :: from integer(kind=int16), intent(in) :: to integer(kind=int16), intent(in), optional :: by -
private module subroutine seq_int32(X, from, to, by)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(out), dimension(:), allocatable :: X integer(kind=int32), intent(in) :: from integer(kind=int32), intent(in) :: to integer(kind=int32), intent(in), optional :: by -
private module subroutine seq_int64(X, from, to, by)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(out), dimension(:), allocatable :: X integer(kind=int64), intent(in) :: from integer(kind=int64), intent(in) :: to integer(kind=int64), intent(in), optional :: by -
private module subroutine seq_int8(X, from, to, by)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(out), dimension(:), allocatable :: X integer(kind=int8), intent(in) :: from integer(kind=int8), intent(in) :: to integer(kind=int8), intent(in), optional :: by -
private module subroutine seq_sp(X, from, to, by)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(out), dimension(:), allocatable :: X real(kind=sp), intent(in) :: from real(kind=sp), intent(in) :: to real(kind=sp), intent(in), optional :: by
public interface solve
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private module function solve_dp(A, b) result(x)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A real(kind=dp), intent(in), dimension(:) :: b Return Value real(kind=dp), dimension(:), allocatable
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private module function solve_sp(A, b) result(x)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A real(kind=sp), intent(in), dimension(:) :: b Return Value real(kind=sp), dimension(:), allocatable
public interface svd
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private module subroutine svd_dp(a, w, u, v, d, ierr)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: a real(kind=dp), intent(out), dimension(:), allocatable :: w real(kind=dp), intent(out), optional dimension(:, :), allocatable :: u real(kind=dp), intent(out), optional dimension(:, :), allocatable :: v logical, intent(in), optional :: d integer, intent(out), optional :: ierr -
private module subroutine svd_sp(a, w, u, v, d, ierr)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: a real(kind=sp), intent(out), dimension(:), allocatable :: w real(kind=sp), intent(out), optional dimension(:, :), allocatable :: u real(kind=sp), intent(out), optional dimension(:, :), allocatable :: v logical, intent(in), optional :: d integer, intent(out), optional :: ierr
public interface svdsolve
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private module function svdsolve_dp(A, b, cutoff) result(x)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A real(kind=dp), intent(in), dimension(:) :: b integer, intent(in), optional :: cutoff Return Value real(kind=dp), dimension(:), allocatable
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private module function svdsolve_sp(A, b, cutoff) result(x)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A real(kind=sp), intent(in), dimension(:) :: b integer, intent(in), optional :: cutoff Return Value real(kind=sp), dimension(:), allocatable
public interface trace
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private function trace_sp(A) result(trace)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A Return Value real(kind=sp)
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private function trace_dp(A) result(trace)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A Return Value real(kind=dp)
public interface tril
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private module function tril_cdp(A, k)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function tril_csp(A, k)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function tril_dp(A, k)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value real(kind=dp), dimension(:, :), allocatable
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private module function tril_int16(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function tril_int32(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function tril_int64(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function tril_int8(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function tril_sp(A, k)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value real(kind=sp), dimension(:, :), allocatable
public interface triu
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private module function triu_cdp(A, k)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function triu_csp(A, k)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function triu_dp(A, k)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value real(kind=dp), dimension(:, :), allocatable
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private module function triu_int16(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function triu_int32(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function triu_int64(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function triu_int8(A, k)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function triu_sp(A, k)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A integer, intent(in), optional :: k Return Value real(kind=sp), dimension(:, :), allocatable
public interface vertcat
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private module function vertcat_c_12_dp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:) :: x1 complex(kind=dp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function vertcat_c_12_sp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:) :: x1 complex(kind=sp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function vertcat_c_1_dp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:) :: x1 complex(kind=dp), intent(in), dimension(:) :: x2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function vertcat_c_1_sp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:) :: x1 complex(kind=sp), intent(in), dimension(:) :: x2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function vertcat_c_21_dp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A1 complex(kind=dp), intent(in), dimension(:) :: x2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function vertcat_c_21_sp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A1 complex(kind=sp), intent(in), dimension(:) :: x2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function vertcat_c_2_dp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=dp), intent(in), dimension(:, :) :: A1 complex(kind=dp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=dp), dimension(:, :), allocatable
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private module function vertcat_c_2_sp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name complex(kind=sp), intent(in), dimension(:, :) :: A1 complex(kind=sp), intent(in), dimension(:, :) :: A2 Return Value complex(kind=sp), dimension(:, :), allocatable
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private module function vertcat_i_12_int16(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:) :: x1 integer(kind=int16), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function vertcat_i_12_int32(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:) :: x1 integer(kind=int32), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function vertcat_i_12_int64(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:) :: x1 integer(kind=int64), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function vertcat_i_12_int8(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:) :: x1 integer(kind=int8), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function vertcat_i_1_int16(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:) :: x1 integer(kind=int16), intent(in), dimension(:) :: x2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function vertcat_i_1_int32(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:) :: x1 integer(kind=int32), intent(in), dimension(:) :: x2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function vertcat_i_1_int64(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:) :: x1 integer(kind=int64), intent(in), dimension(:) :: x2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function vertcat_i_1_int8(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:) :: x1 integer(kind=int8), intent(in), dimension(:) :: x2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function vertcat_i_21_int16(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:, :) :: A1 integer(kind=int16), intent(in), dimension(:) :: x2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function vertcat_i_21_int32(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:, :) :: A1 integer(kind=int32), intent(in), dimension(:) :: x2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function vertcat_i_21_int64(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:, :) :: A1 integer(kind=int64), intent(in), dimension(:) :: x2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function vertcat_i_21_int8(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:, :) :: A1 integer(kind=int8), intent(in), dimension(:) :: x2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function vertcat_i_2_int16(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int16), intent(in), dimension(:, :) :: A1 integer(kind=int16), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int16), dimension(:, :), allocatable
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private module function vertcat_i_2_int32(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int32), intent(in), dimension(:, :) :: A1 integer(kind=int32), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int32), dimension(:, :), allocatable
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private module function vertcat_i_2_int64(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int64), intent(in), dimension(:, :) :: A1 integer(kind=int64), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int64), dimension(:, :), allocatable
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private module function vertcat_i_2_int8(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name integer(kind=int8), intent(in), dimension(:, :) :: A1 integer(kind=int8), intent(in), dimension(:, :) :: A2 Return Value integer(kind=int8), dimension(:, :), allocatable
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private module function vertcat_r_12_dp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x1 real(kind=dp), intent(in), dimension(:, :) :: A2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function vertcat_r_12_sp(x1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x1 real(kind=sp), intent(in), dimension(:, :) :: A2 Return Value real(kind=sp), dimension(:, :), allocatable
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private module function vertcat_r_1_dp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x1 real(kind=dp), intent(in), dimension(:) :: x2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function vertcat_r_1_sp(x1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x1 real(kind=sp), intent(in), dimension(:) :: x2 Return Value real(kind=sp), dimension(:, :), allocatable
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private module function vertcat_r_21_dp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A1 real(kind=dp), intent(in), dimension(:) :: x2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function vertcat_r_21_sp(A1, x2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A1 real(kind=sp), intent(in), dimension(:) :: x2 Return Value real(kind=sp), dimension(:, :), allocatable
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private module function vertcat_r_2_dp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:, :) :: A1 real(kind=dp), intent(in), dimension(:, :) :: A2 Return Value real(kind=dp), dimension(:, :), allocatable
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private module function vertcat_r_2_sp(A1, A2) result(result)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:, :) :: A1 real(kind=sp), intent(in), dimension(:, :) :: A2 Return Value real(kind=sp), dimension(:, :), allocatable
public interface zeros
Creates a rank-1 or rank-2 array filled zeros. (Specification)
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private pure function zeros_1_default(dim) result(result)
zeroscreates a rank-1 array, filled completely with0integertype values.Arguments
Type Intent Optional Attributes Name integer, intent(in) :: dim Return Value integer(kind=int8), allocatable, (:)
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private pure function zeros_2_default(dim1, dim2) result(result)
zeroscreates a rank-2 array, filled completely with0integertype values.Arguments
Type Intent Optional Attributes Name integer, intent(in) :: dim1 integer, intent(in) :: dim2 Return Value integer(kind=int8), allocatable, (:,:)