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+// SPDX-License-Identifier: Apache-2.0
+//
+// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
+// Copyright 2008-2016 National ICT Australia (NICTA)
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+// ------------------------------------------------------------------------
+
+
+//! \addtogroup fn_fft2
+//! @{
+
+
+
+// 2D FFT & 2D IFFT
+
+
+
+template<typename T1>
+arma_warn_unused
+inline
+typename
+enable_if2
+ <
+ is_arma_type<T1>::value,
+ Mat< std::complex<typename T1::pod_type> >
+ >::result
+fft2(const T1& A)
+ {
+ arma_extra_debug_sigprint();
+
+ // not exactly efficient, but "better-than-nothing" implementation
+
+ typedef typename T1::pod_type T;
+
+ Mat< std::complex<T> > B = fft(A);
+
+ // for square matrices, strans() will work out that an inplace transpose can be done,
+ // hence we can potentially avoid creating a temporary matrix
+
+ B = strans(B);
+
+ return strans( fft(B) );
+ }
+
+
+
+template<typename T1>
+arma_warn_unused
+inline
+typename
+enable_if2
+ <
+ is_arma_type<T1>::value,
+ Mat< std::complex<typename T1::pod_type> >
+ >::result
+fft2(const T1& A, const uword n_rows, const uword n_cols)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const quasi_unwrap<T1> tmp(A);
+ const Mat<eT>& B = tmp.M;
+
+ const bool do_resize = (B.n_rows != n_rows) || (B.n_cols != n_cols);
+
+ return (do_resize) ? fft2(resize(B,n_rows,n_cols)) : fft2(B);
+ }
+
+
+
+template<typename T1>
+arma_warn_unused
+inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && (is_cx_float<typename T1::elem_type>::yes || is_cx_double<typename T1::elem_type>::yes)),
+ Mat< std::complex<typename T1::pod_type> >
+ >::result
+ifft2(const T1& A)
+ {
+ arma_extra_debug_sigprint();
+
+ // not exactly efficient, but "better-than-nothing" implementation
+
+ typedef typename T1::pod_type T;
+
+ Mat< std::complex<T> > B = ifft(A);
+
+ // for square matrices, strans() will work out that an inplace transpose can be done,
+ // hence we can potentially avoid creating a temporary matrix
+
+ B = strans(B);
+
+ return strans( ifft(B) );
+ }
+
+
+
+template<typename T1>
+arma_warn_unused
+inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && (is_cx_float<typename T1::elem_type>::yes || is_cx_double<typename T1::elem_type>::yes)),
+ Mat< std::complex<typename T1::pod_type> >
+ >::result
+ifft2(const T1& A, const uword n_rows, const uword n_cols)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const quasi_unwrap<T1> tmp(A);
+ const Mat<eT>& B = tmp.M;
+
+ const bool do_resize = (B.n_rows != n_rows) || (B.n_cols != n_cols);
+
+ return (do_resize) ? ifft2(resize(B,n_rows,n_cols)) : ifft2(B);
+ }
+
+
+
+//! @}