99 lines
3.8 KiB
C
99 lines
3.8 KiB
C
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/********************************************************
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* ██████╗ ██████╗████████╗██╗
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* ██╔════╝ ██╔════╝╚══██╔══╝██║
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* ██║ ███╗██║ ██║ ██║
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* ██║ ██║██║ ██║ ██║
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* ╚██████╔╝╚██████╗ ██║ ███████╗
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* ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝
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* Geophysical Computational Tools & Library (GCTL)
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*
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* Copyright (c) 2023 Yi Zhang (yizhang-geo@zju.edu.cn)
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*
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* GCTL is distributed under a dual licensing scheme. You can redistribute
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* it and/or modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation, either version 2
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* of the License, or (at your option) any later version. You should have
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* received a copy of the GNU Lesser General Public License along with this
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* program. If not, see <http://www.gnu.org/licenses/>.
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*
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* If the terms and conditions of the LGPL v.2. would prevent you from using
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* the GCTL, please consider the option to obtain a commercial license for a
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* fee. These licenses are offered by the GCTL's original author. As a rule,
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* licenses are provided "as-is", unlimited in time for a one time fee. Please
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* send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget
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* to include some description of your company and the realm of its activities.
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* Also add information on how to contact you by electronic and paper mail.
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******************************************************/
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#ifndef _GCTL_FFT_H
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#define _GCTL_FFT_H
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// library head file
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#include "../gctl_config.h"
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#include "../core/array.h"
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#include "../core/matrix.h"
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#include "../core/exceptions.h"
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#ifdef GCTL_FFTW3
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// fftw head file
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#include "fftw3.h"
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namespace gctl
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{
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/**
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* @brief 1D Discrete Fourier Transform (DFT) from real data to complex spectrum.
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*
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* @param[in] in_real Input real data array of size n
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* @param out_spectrum Output complex spectrum of size n/2+1
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* @param sampling Sampling freqency, this is needed to calculate the output frequency index
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* @param freq_ptr Output frequency index of size n/2+1
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*/
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void dft_r2c_1d(const _1d_array &in_real, _1cd_array &out_spectrum, double sampling = 0, _1d_array *freq_ptr = nullptr);
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/**
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* @brief 1D Discrete Fourier Transform (DFT) from complex spectrum to real data.
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*
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* @param in_spectrum Intput complex spectrum of size n
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* @param out_real Output real data array of size 2*(n-1)
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*/
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void dft_c2r_1d(const _1cd_array &in_spectrum, _1d_array &out_real);
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/**
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* @brief 2D Discrete Fourier Transform
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*
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* @param[in] in_arr Input real array
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* @param out_arr Output complex array
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*/
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void dft2d(const _2d_matrix &in_arr, _1cd_array &out_arr);
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/**
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* @brief 2D Inverse Discrete Fourier Transform
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*
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* @param[in] in_arr Input complex array
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* @param[in] m Row size of the 2D matrix
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* @param[in] n Column size of the 2D matrix
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* @param out_arr Output real array
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*/
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void idft2d(const _1cd_array &in_arr, int m, int n, _2d_matrix &out_arr);
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/**
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* @brief 1D Discrete Cosine Transform
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*
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* @param[in] in_arr Input real array
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* @param out_arr Output real array
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*/
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void dct1d(const _1d_array &in_arr, _1d_array &out_arr);
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/**
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* @brief 1D Inverse Cosine Fourier Transform
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*
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* @param[in] in_arr Input real array
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* @param out_arr Output real array
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*/
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void idct1d(const _1d_array &in_arr, _1d_array &out_arr);
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}
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#endif // GCTL_FFTW3
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#endif // _GCTL_FFT_H
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