fftw_impl.h

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2009 Mark Borgerding mark a borgerding net
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
 
// IWYU pragma: private
#include "./InternalHeaderCheck.h"
 
#include <memory>
 
namespace Eigen {
 
namespace internal {
 
// FFTW uses non-const arguments
// so we must use ugly const_cast calls for all the args it uses
//
// This should be safe as long as
// 1. we use FFTW_ESTIMATE for all our planning
//       see the FFTW docs section 4.3.2 "Planner Flags"
// 2. fftw_complex is compatible with std::complex
//    This assumes std::complex<T> layout is array of size 2 with real,imag
template <typename T>
inline T *fftw_cast(const T *p) {
  return const_cast<T *>(p);
}
 
inline fftw_complex *fftw_cast(const std::complex<double> *p) {
  return const_cast<fftw_complex *>(reinterpret_cast<const fftw_complex *>(p));
}
 
inline fftwf_complex *fftw_cast(const std::complex<float> *p) {
  return const_cast<fftwf_complex *>(reinterpret_cast<const fftwf_complex *>(p));
}
 
inline fftwl_complex *fftw_cast(const std::complex<long double> *p) {
  return const_cast<fftwl_complex *>(reinterpret_cast<const fftwl_complex *>(p));
}
 
template <typename T>
struct fftw_plan {};
 
template <>
struct fftw_plan<float> {
  typedef float scalar_type;
  typedef fftwf_complex complex_type;
  std::shared_ptr<fftwf_plan_s> m_plan;
  fftw_plan() = default;
 
  void set_plan(fftwf_plan p) { m_plan.reset(p, fftwf_destroy_plan); }
  inline void fwd(complex_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwf_plan_dft_1d(nfft, src, dst, FFTW_FORWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwf_execute_dft(m_plan.get(), src, dst);
  }
  inline void inv(complex_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwf_plan_dft_1d(nfft, src, dst, FFTW_BACKWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwf_execute_dft(m_plan.get(), src, dst);
  }
  inline void fwd(complex_type *dst, scalar_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwf_plan_dft_r2c_1d(nfft, src, dst, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwf_execute_dft_r2c(m_plan.get(), src, dst);
  }
  inline void inv(scalar_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwf_plan_dft_c2r_1d(nfft, src, dst, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwf_execute_dft_c2r(m_plan.get(), src, dst);
  }
 
  inline void fwd2(complex_type *dst, complex_type *src, int n0, int n1) {
    if (m_plan == NULL)
      set_plan(fftwf_plan_dft_2d(n0, n1, src, dst, FFTW_FORWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwf_execute_dft(m_plan.get(), src, dst);
  }
  inline void inv2(complex_type *dst, complex_type *src, int n0, int n1) {
    if (m_plan == NULL)
      set_plan(fftwf_plan_dft_2d(n0, n1, src, dst, FFTW_BACKWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwf_execute_dft(m_plan.get(), src, dst);
  }
};
template <>
struct fftw_plan<double> {
  typedef double scalar_type;
  typedef fftw_complex complex_type;
  std::shared_ptr<fftw_plan_s> m_plan;
  fftw_plan() = default;
 
  void set_plan(::fftw_plan p) { m_plan.reset(p, fftw_destroy_plan); }
  inline void fwd(complex_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftw_plan_dft_1d(nfft, src, dst, FFTW_FORWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftw_execute_dft(m_plan.get(), src, dst);
  }
  inline void inv(complex_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftw_plan_dft_1d(nfft, src, dst, FFTW_BACKWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftw_execute_dft(m_plan.get(), src, dst);
  }
  inline void fwd(complex_type *dst, scalar_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftw_plan_dft_r2c_1d(nfft, src, dst, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftw_execute_dft_r2c(m_plan.get(), src, dst);
  }
  inline void inv(scalar_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftw_plan_dft_c2r_1d(nfft, src, dst, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftw_execute_dft_c2r(m_plan.get(), src, dst);
  }
  inline void fwd2(complex_type *dst, complex_type *src, int n0, int n1) {
    if (m_plan == NULL) set_plan(fftw_plan_dft_2d(n0, n1, src, dst, FFTW_FORWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftw_execute_dft(m_plan.get(), src, dst);
  }
  inline void inv2(complex_type *dst, complex_type *src, int n0, int n1) {
    if (m_plan == NULL)
      set_plan(fftw_plan_dft_2d(n0, n1, src, dst, FFTW_BACKWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftw_execute_dft(m_plan.get(), src, dst);
  }
};
template <>
struct fftw_plan<long double> {
  typedef long double scalar_type;
  typedef fftwl_complex complex_type;
  std::shared_ptr<fftwl_plan_s> m_plan;
  fftw_plan() = default;
 
  void set_plan(fftwl_plan p) { m_plan.reset(p, fftwl_destroy_plan); }
  inline void fwd(complex_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwl_plan_dft_1d(nfft, src, dst, FFTW_FORWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwl_execute_dft(m_plan.get(), src, dst);
  }
  inline void inv(complex_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwl_plan_dft_1d(nfft, src, dst, FFTW_BACKWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwl_execute_dft(m_plan.get(), src, dst);
  }
  inline void fwd(complex_type *dst, scalar_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwl_plan_dft_r2c_1d(nfft, src, dst, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwl_execute_dft_r2c(m_plan.get(), src, dst);
  }
  inline void inv(scalar_type *dst, complex_type *src, int nfft) {
    if (m_plan == NULL) set_plan(fftwl_plan_dft_c2r_1d(nfft, src, dst, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwl_execute_dft_c2r(m_plan.get(), src, dst);
  }
  inline void fwd2(complex_type *dst, complex_type *src, int n0, int n1) {
    if (m_plan == NULL)
      set_plan(fftwl_plan_dft_2d(n0, n1, src, dst, FFTW_FORWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwl_execute_dft(m_plan.get(), src, dst);
  }
  inline void inv2(complex_type *dst, complex_type *src, int n0, int n1) {
    if (m_plan == NULL)
      set_plan(fftwl_plan_dft_2d(n0, n1, src, dst, FFTW_BACKWARD, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT));
    fftwl_execute_dft(m_plan.get(), src, dst);
  }
};
 
template <typename Scalar_>
struct fftw_impl {
  typedef Scalar_ Scalar;
  typedef std::complex<Scalar> Complex;
 
  inline void clear() { m_plans.clear(); }
 
  // complex-to-complex forward FFT
  inline void fwd(Complex *dst, const Complex *src, int nfft) {
    get_plan(nfft, false, dst, src).fwd(fftw_cast(dst), fftw_cast(src), nfft);
  }
 
  // real-to-complex forward FFT
  inline void fwd(Complex *dst, const Scalar *src, int nfft) {
    get_plan(nfft, false, dst, src).fwd(fftw_cast(dst), fftw_cast(src), nfft);
  }
 
  // 2-d complex-to-complex
  inline void fwd2(Complex *dst, const Complex *src, int n0, int n1) {
    get_plan(n0, n1, false, dst, src).fwd2(fftw_cast(dst), fftw_cast(src), n0, n1);
  }
 
  // inverse complex-to-complex
  inline void inv(Complex *dst, const Complex *src, int nfft) {
    get_plan(nfft, true, dst, src).inv(fftw_cast(dst), fftw_cast(src), nfft);
  }
 
  // half-complex to scalar
  inline void inv(Scalar *dst, const Complex *src, int nfft) {
    get_plan(nfft, true, dst, src).inv(fftw_cast(dst), fftw_cast(src), nfft);
  }
 
  // 2-d complex-to-complex
  inline void inv2(Complex *dst, const Complex *src, int n0, int n1) {
    get_plan(n0, n1, true, dst, src).inv2(fftw_cast(dst), fftw_cast(src), n0, n1);
  }
 
 protected:
  typedef fftw_plan<Scalar> PlanData;
 
  typedef Eigen::numext::int64_t int64_t;
 
  typedef std::map<int64_t, PlanData> PlanMap;
 
  PlanMap m_plans;
 
  inline PlanData &get_plan(int nfft, bool inverse, void *dst, const void *src) {
    bool inplace = (dst == src);
    bool aligned = ((reinterpret_cast<size_t>(src) & 15) | (reinterpret_cast<size_t>(dst) & 15)) == 0;
    int64_t key = ((nfft << 3) | (inverse << 2) | (inplace << 1) | aligned) << 1;
    return m_plans[key];
  }
 
  inline PlanData &get_plan(int n0, int n1, bool inverse, void *dst, const void *src) {
    bool inplace = (dst == src);
    bool aligned = ((reinterpret_cast<size_t>(src) & 15) | (reinterpret_cast<size_t>(dst) & 15)) == 0;
    int64_t key = (((((int64_t)n0) << 30) | (n1 << 3) | (inverse << 2) | (inplace << 1) | aligned) << 1) + 1;
    return m_plans[key];
  }
};
 
}  // end namespace internal
 
}  // end namespace Eigen