NFFT  3.4.1
Data Structures | Macros | Typedefs | Functions | Variables
nfft3.h File Reference

Header file for the nfft3 library. More...

#include <fftw3.h>

Go to the source code of this file.

Data Structures

struct  nfftf_mv_plan_complex
 
struct  nfftf_mv_plan_double
 
struct  nfftf_plan
 data structure for an NFFT (nonequispaced fast Fourier transform) plan with float precision More...
 
struct  nfft_mv_plan_complex
 
struct  nfft_mv_plan_double
 
struct  nfft_plan
 data structure for an NFFT (nonequispaced fast Fourier transform) plan with double precision More...
 
struct  nfftl_mv_plan_complex
 
struct  nfftl_mv_plan_double
 
struct  nfftl_plan
 data structure for an NFFT (nonequispaced fast Fourier transform) plan with long double precision More...
 
struct  nfctf_plan
 data structure for an NFCT (nonequispaced fast cosine transform) plan with float precision More...
 
struct  nfct_plan
 data structure for an NFCT (nonequispaced fast cosine transform) plan with double precision More...
 
struct  nfctl_plan
 data structure for an NFCT (nonequispaced fast cosine transform) plan with long double precision More...
 
struct  nfstf_plan
 data structure for an NFST (nonequispaced fast sine transform) plan with float precision More...
 
struct  nfst_plan
 data structure for an NFST (nonequispaced fast sine transform) plan with double precision More...
 
struct  nfstl_plan
 data structure for an NFST (nonequispaced fast sine transform) plan with long double precision More...
 
struct  nnfftf_plan
 data structure for an NNFFT (nonequispaced in time and frequency fast Fourier transform) plan with float precision More...
 
struct  nnfft_plan
 data structure for an NNFFT (nonequispaced in time and frequency fast Fourier transform) plan with double precision More...
 
struct  nnfftl_plan
 data structure for an NNFFT (nonequispaced in time and frequency fast Fourier transform) plan with long double precision More...
 
struct  nsfftf_plan
 data structure for an NSFFT (nonequispaced sparse fast Fourier transform) plan with float precision More...
 
struct  nsfft_plan
 data structure for an NSFFT (nonequispaced sparse fast Fourier transform) plan with double precision More...
 
struct  nsfftl_plan
 data structure for an NSFFT (nonequispaced sparse fast Fourier transform) plan with long double precision More...
 
struct  mrif_inh_2d1d_plan
 
struct  mrif_inh_3d_plan
 
struct  mri_inh_2d1d_plan
 
struct  mri_inh_3d_plan
 
struct  mril_inh_2d1d_plan
 
struct  mril_inh_3d_plan
 
struct  nfsftf_plan
 data structure for an NFSFT (nonequispaced fast spherical Fourier transform) plan with float precision More...
 
struct  nfsft_plan
 data structure for an NFSFT (nonequispaced fast spherical Fourier transform) plan with double precision More...
 
struct  nfsftl_plan
 data structure for an NFSFT (nonequispaced fast spherical Fourier transform) plan with long double precision More...
 
struct  nfsoftf_plan_
 
struct  nfsoft_plan_
 
struct  nfsoftl_plan_
 
struct  solverf_plan_complex
 data structure for an inverse NFFT plan with float precision More...
 
struct  solverf_plan_double
 data structure for an inverse NFFT plan with float precision More...
 
struct  solver_plan_complex
 data structure for an inverse NFFT plan with double precision More...
 
struct  solver_plan_double
 data structure for an inverse NFFT plan with double precision More...
 
struct  solverl_plan_complex
 data structure for an inverse NFFT plan with long double precision More...
 
struct  solverl_plan_double
 data structure for an inverse NFFT plan with long double precision More...
 

Macros

#define NFFT_CONCAT(prefix, name)   prefix ## name
 
#define NFFT_EXTERN   extern
 
#define MACRO_MV_PLAN(RC)
 Adjoint transform. More...
 
#define NFFT_MANGLE_DOUBLE(name)   NFFT_CONCAT(nfft_, name)
 
#define NFFT_MANGLE_FLOAT(name)   NFFT_CONCAT(nfftf_, name)
 
#define NFFT_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(nfftl_, name)
 
#define NFFT_DEFINE_MALLOC_API(X)
 
#define NFFT_DEFINE_API(X, Y, R, C)
 
#define PRE_PHI_HUT   (1U<<0)
 
#define FG_PSI   (1U<<1)
 
#define PRE_LIN_PSI   (1U<<2)
 
#define PRE_FG_PSI   (1U<<3)
 
#define PRE_PSI   (1U<<4)
 
#define PRE_FULL_PSI   (1U<<5)
 
#define MALLOC_X   (1U<<6)
 
#define MALLOC_F_HAT   (1U<<7)
 
#define MALLOC_F   (1U<<8)
 
#define FFT_OUT_OF_PLACE   (1U<<9)
 
#define FFTW_INIT   (1U<<10)
 
#define NFFT_SORT_NODES   (1U<<11)
 
#define NFFT_OMP_BLOCKWISE_ADJOINT   (1U<<12)
 
#define PRE_ONE_PSI   (PRE_LIN_PSI| PRE_FG_PSI| PRE_PSI| PRE_FULL_PSI)
 
#define NFCT_MANGLE_DOUBLE(name)   NFFT_CONCAT(nfct_, name)
 
#define NFCT_MANGLE_FLOAT(name)   NFFT_CONCAT(nfctf_, name)
 
#define NFCT_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(nfctl_, name)
 
#define NFCT_DEFINE_API(X, Y, R, C)
 
#define NFST_MANGLE_DOUBLE(name)   NFFT_CONCAT(nfst_, name)
 
#define NFST_MANGLE_FLOAT(name)   NFFT_CONCAT(nfstf_, name)
 
#define NFST_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(nfstl_, name)
 
#define NFST_DEFINE_API(X, Y, R, C)
 
#define NNFFT_MANGLE_DOUBLE(name)   NFFT_CONCAT(nnfft_, name)
 
#define NNFFT_MANGLE_FLOAT(name)   NFFT_CONCAT(nnfftf_, name)
 
#define NNFFT_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(nnfftl_, name)
 
#define NNFFT_DEFINE_API(X, Y, Z, R, C)
 
#define MALLOC_V   (1U<< 11)
 
#define NSFFT_MANGLE_DOUBLE(name)   NFFT_CONCAT(nsfft_, name)
 
#define NSFFT_MANGLE_FLOAT(name)   NFFT_CONCAT(nsfftf_, name)
 
#define NSFFT_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(nsfftl_, name)
 
#define NSFFT_DEFINE_API(X, Y, Z, R, C)
 
#define NSDFT   (1U<< 12)
 
#define MRI_MANGLE_DOUBLE(name)   NFFT_CONCAT(mri_, name)
 
#define MRI_MANGLE_FLOAT(name)   NFFT_CONCAT(mrif_, name)
 
#define MRI_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(mril_, name)
 
#define MRI_DEFINE_API(X, Z, R, C)
 
#define NFSFT_MANGLE_DOUBLE(name)   NFFT_CONCAT(nfsft_, name)
 
#define NFSFT_MANGLE_FLOAT(name)   NFFT_CONCAT(nfsftf_, name)
 
#define NFSFT_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(nfsftl_, name)
 
#define NFSFT_DEFINE_API(X, Z, R, C)
 
#define NFSFT_NORMALIZED   (1U << 0)
 
#define NFSFT_USE_NDFT   (1U << 1)
 
#define NFSFT_USE_DPT   (1U << 2)
 
#define NFSFT_MALLOC_X   (1U << 3)
 
#define NFSFT_MALLOC_F_HAT   (1U << 5)
 
#define NFSFT_MALLOC_F   (1U << 6)
 
#define NFSFT_PRESERVE_F_HAT   (1U << 7)
 
#define NFSFT_PRESERVE_X   (1U << 8)
 
#define NFSFT_PRESERVE_F   (1U << 9)
 
#define NFSFT_DESTROY_F_HAT   (1U << 10)
 
#define NFSFT_DESTROY_X   (1U << 11)
 
#define NFSFT_DESTROY_F   (1U << 12)
 
#define NFSFT_NO_DIRECT_ALGORITHM   (1U << 13)
 
#define NFSFT_NO_FAST_ALGORITHM   (1U << 14)
 
#define NFSFT_ZERO_F_HAT   (1U << 16)
 
#define NFSFT_INDEX(k, n, plan)   ((2*(plan)->N+2)*((plan)->N-n+1)+(plan)->N+k+1)
 
#define NFSFT_F_HAT_SIZE(N)   ((2*N+2)*(2*N+2))
 
#define FPT_MANGLE_DOUBLE(name)   NFFT_CONCAT(fpt_, name)
 
#define FPT_MANGLE_FLOAT(name)   NFFT_CONCAT(fptf_, name)
 
#define FPT_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(fptl_, name)
 
#define FPT_DEFINE_API(X, Y, R, C)
 
#define FPT_NO_STABILIZATION   (1U << 0)
 If set, no stabilization will be used.
 
#define FPT_NO_FAST_ALGORITHM   (1U << 2)
 If set, TODO complete comment.
 
#define FPT_NO_DIRECT_ALGORITHM   (1U << 3)
 If set, TODO complete comment.
 
#define FPT_PERSISTENT_DATA   (1U << 4)
 If set, TODO complete comment.
 
#define FPT_FUNCTION_VALUES   (1U << 5)
 If set, the output are function values at Chebyshev nodes rather than Chebyshev coefficients.
 
#define FPT_AL_SYMMETRY   (1U << 6)
 If set, TODO complete comment.
 
#define NFSOFT_MANGLE_DOUBLE(name)   NFFT_CONCAT(nfsoft_, name)
 
#define NFSOFT_MANGLE_FLOAT(name)   NFFT_CONCAT(nfsoftf_, name)
 
#define NFSOFT_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(nfsoftl_, name)
 
#define NFSOFT_DEFINE_API(X, Y, Z, R, C)
 
#define NFSOFT_NORMALIZED   (1U << 0)
 
#define NFSOFT_USE_NDFT   (1U << 1)
 
#define NFSOFT_USE_DPT   (1U << 2)
 
#define NFSOFT_MALLOC_X   (1U << 3)
 
#define NFSOFT_REPRESENT   (1U << 4)
 
#define NFSOFT_MALLOC_F_HAT   (1U << 5)
 
#define NFSOFT_MALLOC_F   (1U << 6)
 
#define NFSOFT_PRESERVE_F_HAT   (1U << 7)
 
#define NFSOFT_PRESERVE_X   (1U << 8)
 
#define NFSOFT_PRESERVE_F   (1U << 9)
 
#define NFSOFT_DESTROY_F_HAT   (1U << 10)
 
#define NFSOFT_DESTROY_X   (1U << 11)
 
#define NFSOFT_DESTROY_F   (1U << 12)
 
#define NFSOFT_NO_STABILIZATION   (1U << 13)
 
#define NFSOFT_CHOOSE_DPT   (1U << 14)
 
#define NFSOFT_SOFT   (1U << 15)
 
#define NFSOFT_ZERO_F_HAT   (1U << 16)
 
#define NFSOFT_INDEX(m, n, l, B)   (((l)+((B)+1))+(2*(B)+2)*(((n)+((B)+1))+(2*(B)+2)*((m)+((B)+1))))
 
#define NFSOFT_INDEX_TWO(m, n, l, B)   ((B+1)*(B+1)+(B+1)*(B+1)*(m+B)-((m-1)*m*(2*m-1)+(B+1)*(B+2)*(2*B+3))/6)+(posN(n,m,B))+(l-MAX(ABS(m),ABS(n)))
 
#define NFSOFT_F_HAT_SIZE(B)   (((B)+1)*(4*((B)+1)*((B)+1)-1)/3)
 
#define SOLVER_MANGLE_DOUBLE(name)   NFFT_CONCAT(solver_, name)
 
#define SOLVER_MANGLE_FLOAT(name)   NFFT_CONCAT(solverf_, name)
 
#define SOLVER_MANGLE_LONG_DOUBLE(name)   NFFT_CONCAT(solverl_, name)
 
#define SOLVER_DEFINE_API(X, Y, R, C)
 
#define LANDWEBER   (1U<< 0)
 
#define STEEPEST_DESCENT   (1U<< 1)
 
#define CGNR   (1U<< 2)
 
#define CGNE   (1U<< 3)
 
#define NORMS_FOR_LANDWEBER   (1U<< 4)
 
#define PRECOMPUTE_WEIGHT   (1U<< 5)
 
#define PRECOMPUTE_DAMP   (1U<< 6)
 
#define NFFT_DEFINE_UTIL_API(Y, R, C)
 

Typedefs

typedef ptrdiff_t NFFT_INT
 
typedef void *(* nfftf_malloc_type_function )(size_t n)
 
typedef void(* nfftf_free_type_function )(void *p)
 
typedef void(* nfftf_die_type_function )(const char *errString)
 
typedef void *(* nfft_malloc_type_function )(size_t n)
 
typedef void(* nfft_free_type_function )(void *p)
 
typedef void(* nfft_die_type_function )(const char *errString)
 
typedef void *(* nfftl_malloc_type_function )(size_t n)
 
typedef void(* nfftl_free_type_function )(void *p)
 
typedef void(* nfftl_die_type_function )(const char *errString)
 
typedef struct fptf_set_s_ * fptf_set
 A set of precomputed data for a set of DPT transforms of equal maximum length. More...
 
typedef struct fpt_set_s_ * fpt_set
 A set of precomputed data for a set of DPT transforms of equal maximum length. More...
 
typedef struct fptl_set_s_ * fptl_set
 A set of precomputed data for a set of DPT transforms of equal maximum length. More...
 
typedef struct nfsoftf_plan_ nfsoftf_plan
 
typedef struct nfsoft_plan_ nfsoft_plan
 
typedef struct nfsoftl_plan_ nfsoftl_plan
 

Functions

void * nfftf_malloc (size_t n)
 
void nfftf_free (void *p)
 
void nfftf_die (const char *s)
 
void * nfft_malloc (size_t n)
 
void nfft_free (void *p)
 
void nfft_die (const char *s)
 
void * nfftl_malloc (size_t n)
 
void nfftl_free (void *p)
 
void nfftl_die (const char *s)
 
void nfftf_trafo_direct (const nfftf_plan *ths)
 
void nfftf_adjoint_direct (const nfftf_plan *ths)
 
void nfftf_trafo (nfftf_plan *ths)
 
void nfftf_trafo_1d (nfftf_plan *ths)
 
void nfftf_trafo_2d (nfftf_plan *ths)
 
void nfftf_trafo_3d (nfftf_plan *ths)
 
void nfftf_adjoint (nfftf_plan *ths)
 
void nfftf_adjoint_1d (nfftf_plan *ths)
 
void nfftf_adjoint_2d (nfftf_plan *ths)
 
void nfftf_adjoint_3d (nfftf_plan *ths)
 
void nfftf_init_1d (nfftf_plan *ths, int N1, int M)
 
void nfftf_init_2d (nfftf_plan *ths, int N1, int N2, int M)
 
void nfftf_init_3d (nfftf_plan *ths, int N1, int N2, int N3, int M)
 
void nfftf_init (nfftf_plan *ths, int d, int *N, int M)
 
void nfftf_init_guru (nfftf_plan *ths, int d, int *N, int M, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfftf_init_lin (nfftf_plan *ths, int d, int *N, int M, int *n, int m, int K, unsigned flags, unsigned fftw_flags)
 
void nfftf_precompute_one_psi (nfftf_plan *ths)
 
void nfftf_precompute_psi (nfftf_plan *ths)
 
void nfftf_precompute_full_psi (nfftf_plan *ths)
 
void nfftf_precompute_fg_psi (nfftf_plan *ths)
 
void nfftf_precompute_lin_psi (nfftf_plan *ths)
 
const char * nfftf_check (nfftf_plan *ths)
 
void nfftf_finalize (nfftf_plan *ths)
 
void nfft_trafo_direct (const nfft_plan *ths)
 
void nfft_adjoint_direct (const nfft_plan *ths)
 
void nfft_trafo (nfft_plan *ths)
 
void nfft_trafo_1d (nfft_plan *ths)
 
void nfft_trafo_2d (nfft_plan *ths)
 
void nfft_trafo_3d (nfft_plan *ths)
 
void nfft_adjoint (nfft_plan *ths)
 
void nfft_adjoint_1d (nfft_plan *ths)
 
void nfft_adjoint_2d (nfft_plan *ths)
 
void nfft_adjoint_3d (nfft_plan *ths)
 
void nfft_init_1d (nfft_plan *ths, int N1, int M)
 
void nfft_init_2d (nfft_plan *ths, int N1, int N2, int M)
 
void nfft_init_3d (nfft_plan *ths, int N1, int N2, int N3, int M)
 
void nfft_init (nfft_plan *ths, int d, int *N, int M)
 
void nfft_init_guru (nfft_plan *ths, int d, int *N, int M, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfft_init_lin (nfft_plan *ths, int d, int *N, int M, int *n, int m, int K, unsigned flags, unsigned fftw_flags)
 
void nfft_precompute_one_psi (nfft_plan *ths)
 
void nfft_precompute_psi (nfft_plan *ths)
 
void nfft_precompute_full_psi (nfft_plan *ths)
 
void nfft_precompute_fg_psi (nfft_plan *ths)
 
void nfft_precompute_lin_psi (nfft_plan *ths)
 
const char * nfft_check (nfft_plan *ths)
 
void nfft_finalize (nfft_plan *ths)
 
void nfftl_trafo_direct (const nfftl_plan *ths)
 
void nfftl_adjoint_direct (const nfftl_plan *ths)
 
void nfftl_trafo (nfftl_plan *ths)
 
void nfftl_trafo_1d (nfftl_plan *ths)
 
void nfftl_trafo_2d (nfftl_plan *ths)
 
void nfftl_trafo_3d (nfftl_plan *ths)
 
void nfftl_adjoint (nfftl_plan *ths)
 
void nfftl_adjoint_1d (nfftl_plan *ths)
 
void nfftl_adjoint_2d (nfftl_plan *ths)
 
void nfftl_adjoint_3d (nfftl_plan *ths)
 
void nfftl_init_1d (nfftl_plan *ths, int N1, int M)
 
void nfftl_init_2d (nfftl_plan *ths, int N1, int N2, int M)
 
void nfftl_init_3d (nfftl_plan *ths, int N1, int N2, int N3, int M)
 
void nfftl_init (nfftl_plan *ths, int d, int *N, int M)
 
void nfftl_init_guru (nfftl_plan *ths, int d, int *N, int M, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfftl_init_lin (nfftl_plan *ths, int d, int *N, int M, int *n, int m, int K, unsigned flags, unsigned fftw_flags)
 
void nfftl_precompute_one_psi (nfftl_plan *ths)
 
void nfftl_precompute_psi (nfftl_plan *ths)
 
void nfftl_precompute_full_psi (nfftl_plan *ths)
 
void nfftl_precompute_fg_psi (nfftl_plan *ths)
 
void nfftl_precompute_lin_psi (nfftl_plan *ths)
 
const char * nfftl_check (nfftl_plan *ths)
 
void nfftl_finalize (nfftl_plan *ths)
 
void nfctf_init_1d (nfctf_plan *ths_plan, int N0, int M_total)
 
void nfctf_init_2d (nfctf_plan *ths_plan, int N0, int N1, int M_total)
 
void nfctf_init_3d (nfctf_plan *ths_plan, int N0, int N1, int N2, int M_total)
 
void nfctf_init (nfctf_plan *ths_plan, int d, int *N, int M_total)
 
void nfctf_init_guru (nfctf_plan *ths_plan, int d, int *N, int M_total, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfctf_precompute_one_psi (nfctf_plan *ths)
 
void nfctf_precompute_psi (nfctf_plan *ths)
 
void nfctf_precompute_full_psi (nfctf_plan *ths)
 
void nfctf_precompute_fg_psi (nfctf_plan *ths)
 
void nfctf_precompute_lin_psi (nfctf_plan *ths)
 
void nfctf_trafo (nfctf_plan *ths_plan)
 
void nfctf_trafo_direct (const nfctf_plan *ths_plan)
 
void nfctf_adjoint (nfctf_plan *ths_plan)
 
void nfctf_adjoint_direct (const nfctf_plan *ths_plan)
 
const char * nfctf_check (nfctf_plan *ths)
 
void nfctf_finalize (nfctf_plan *ths_plan)
 
void nfct_init_1d (nfct_plan *ths_plan, int N0, int M_total)
 
void nfct_init_2d (nfct_plan *ths_plan, int N0, int N1, int M_total)
 
void nfct_init_3d (nfct_plan *ths_plan, int N0, int N1, int N2, int M_total)
 
void nfct_init (nfct_plan *ths_plan, int d, int *N, int M_total)
 
void nfct_init_guru (nfct_plan *ths_plan, int d, int *N, int M_total, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfct_precompute_one_psi (nfct_plan *ths)
 
void nfct_precompute_psi (nfct_plan *ths)
 
void nfct_precompute_full_psi (nfct_plan *ths)
 
void nfct_precompute_fg_psi (nfct_plan *ths)
 
void nfct_precompute_lin_psi (nfct_plan *ths)
 
void nfct_trafo (nfct_plan *ths_plan)
 
void nfct_trafo_direct (const nfct_plan *ths_plan)
 
void nfct_adjoint (nfct_plan *ths_plan)
 
void nfct_adjoint_direct (const nfct_plan *ths_plan)
 
const char * nfct_check (nfct_plan *ths)
 
void nfct_finalize (nfct_plan *ths_plan)
 
void nfctl_init_1d (nfctl_plan *ths_plan, int N0, int M_total)
 
void nfctl_init_2d (nfctl_plan *ths_plan, int N0, int N1, int M_total)
 
void nfctl_init_3d (nfctl_plan *ths_plan, int N0, int N1, int N2, int M_total)
 
void nfctl_init (nfctl_plan *ths_plan, int d, int *N, int M_total)
 
void nfctl_init_guru (nfctl_plan *ths_plan, int d, int *N, int M_total, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfctl_precompute_one_psi (nfctl_plan *ths)
 
void nfctl_precompute_psi (nfctl_plan *ths)
 
void nfctl_precompute_full_psi (nfctl_plan *ths)
 
void nfctl_precompute_fg_psi (nfctl_plan *ths)
 
void nfctl_precompute_lin_psi (nfctl_plan *ths)
 
void nfctl_trafo (nfctl_plan *ths_plan)
 
void nfctl_trafo_direct (const nfctl_plan *ths_plan)
 
void nfctl_adjoint (nfctl_plan *ths_plan)
 
void nfctl_adjoint_direct (const nfctl_plan *ths_plan)
 
const char * nfctl_check (nfctl_plan *ths)
 
void nfctl_finalize (nfctl_plan *ths_plan)
 
void nfstf_init_1d (nfstf_plan *ths_plan, int N0, int M_total)
 
void nfstf_init_2d (nfstf_plan *ths_plan, int N0, int N1, int M_total)
 
void nfstf_init_3d (nfstf_plan *ths_plan, int N0, int N1, int N2, int M_total)
 
void nfstf_init (nfstf_plan *ths_plan, int d, int *N, int M_total)
 
void nfstf_init_guru (nfstf_plan *ths_plan, int d, int *N, int M_total, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfstf_precompute_one_psi (nfstf_plan *ths)
 
void nfstf_precompute_psi (nfstf_plan *ths)
 
void nfstf_precompute_full_psi (nfstf_plan *ths)
 
void nfstf_precompute_fg_psi (nfstf_plan *ths)
 
void nfstf_precompute_lin_psi (nfstf_plan *ths)
 
void nfstf_trafo (nfstf_plan *ths_plan)
 
void nfstf_trafo_direct (const nfstf_plan *ths_plan)
 
void nfstf_adjoint (nfstf_plan *ths_plan)
 
void nfstf_adjoint_direct (const nfstf_plan *ths_plan)
 
const char * nfstf_check (nfstf_plan *ths)
 
void nfstf_finalize (nfstf_plan *ths_plan)
 
void nfst_init_1d (nfst_plan *ths_plan, int N0, int M_total)
 
void nfst_init_2d (nfst_plan *ths_plan, int N0, int N1, int M_total)
 
void nfst_init_3d (nfst_plan *ths_plan, int N0, int N1, int N2, int M_total)
 
void nfst_init (nfst_plan *ths_plan, int d, int *N, int M_total)
 
void nfst_init_guru (nfst_plan *ths_plan, int d, int *N, int M_total, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfst_precompute_one_psi (nfst_plan *ths)
 
void nfst_precompute_psi (nfst_plan *ths)
 
void nfst_precompute_full_psi (nfst_plan *ths)
 
void nfst_precompute_fg_psi (nfst_plan *ths)
 
void nfst_precompute_lin_psi (nfst_plan *ths)
 
void nfst_trafo (nfst_plan *ths_plan)
 
void nfst_trafo_direct (const nfst_plan *ths_plan)
 
void nfst_adjoint (nfst_plan *ths_plan)
 
void nfst_adjoint_direct (const nfst_plan *ths_plan)
 
const char * nfst_check (nfst_plan *ths)
 
void nfst_finalize (nfst_plan *ths_plan)
 
void nfstl_init_1d (nfstl_plan *ths_plan, int N0, int M_total)
 
void nfstl_init_2d (nfstl_plan *ths_plan, int N0, int N1, int M_total)
 
void nfstl_init_3d (nfstl_plan *ths_plan, int N0, int N1, int N2, int M_total)
 
void nfstl_init (nfstl_plan *ths_plan, int d, int *N, int M_total)
 
void nfstl_init_guru (nfstl_plan *ths_plan, int d, int *N, int M_total, int *n, int m, unsigned flags, unsigned fftw_flags)
 
void nfstl_precompute_one_psi (nfstl_plan *ths)
 
void nfstl_precompute_psi (nfstl_plan *ths)
 
void nfstl_precompute_full_psi (nfstl_plan *ths)
 
void nfstl_precompute_fg_psi (nfstl_plan *ths)
 
void nfstl_precompute_lin_psi (nfstl_plan *ths)
 
void nfstl_trafo (nfstl_plan *ths_plan)
 
void nfstl_trafo_direct (const nfstl_plan *ths_plan)
 
void nfstl_adjoint (nfstl_plan *ths_plan)
 
void nfstl_adjoint_direct (const nfstl_plan *ths_plan)
 
const char * nfstl_check (nfstl_plan *ths)
 
void nfstl_finalize (nfstl_plan *ths_plan)
 
void nnfftf_init (nnfftf_plan *ths_plan, int d, int N_total, int M_total, int *N)
 
void nnfftf_init_1d (nnfftf_plan *ths_plan, int N, int M_total)
 
void nnfftf_init_guru (nnfftf_plan *ths_plan, int d, int N_total, int M_total, int *N, int *N1, int m, unsigned nnfft_flags)
 
void nnfftf_trafo_direct (nnfftf_plan *ths_plan)
 
void nnfftf_adjoint_direct (nnfftf_plan *ths_plan)
 
void nnfftf_trafo (nnfftf_plan *ths_plan)
 
void nnfftf_adjoint (nnfftf_plan *ths_plan)
 
void nnfftf_precompute_lin_psi (nnfftf_plan *ths_plan)
 
void nnfftf_precompute_psi (nnfftf_plan *ths_plan)
 
void nnfftf_precompute_full_psi (nnfftf_plan *ths_plan)
 
void nnfftf_precompute_phi_hut (nnfftf_plan *ths_plan)
 
void nnfftf_precompute_one_psi (nnfftf_plan *ths)
 
void nnfftf_finalize (nnfftf_plan *ths_plan)
 
void nnfft_init (nnfft_plan *ths_plan, int d, int N_total, int M_total, int *N)
 
void nnfft_init_1d (nnfft_plan *ths_plan, int N, int M_total)
 
void nnfft_init_guru (nnfft_plan *ths_plan, int d, int N_total, int M_total, int *N, int *N1, int m, unsigned nnfft_flags)
 
void nnfft_trafo_direct (nnfft_plan *ths_plan)
 
void nnfft_adjoint_direct (nnfft_plan *ths_plan)
 
void nnfft_trafo (nnfft_plan *ths_plan)
 user routines More...
 
void nnfft_adjoint (nnfft_plan *ths_plan)
 
void nnfft_precompute_lin_psi (nnfft_plan *ths_plan)
 create a lookup table More...
 
void nnfft_precompute_psi (nnfft_plan *ths_plan)
 
void nnfft_precompute_full_psi (nnfft_plan *ths_plan)
 computes all entries of B explicitly More...
 
void nnfft_precompute_phi_hut (nnfft_plan *ths_plan)
 initialisation of direct transform More...
 
void nnfft_precompute_one_psi (nnfft_plan *ths)
 
void nnfft_finalize (nnfft_plan *ths_plan)
 
void nnfftl_init (nnfftl_plan *ths_plan, int d, int N_total, int M_total, int *N)
 
void nnfftl_init_1d (nnfftl_plan *ths_plan, int N, int M_total)
 
void nnfftl_init_guru (nnfftl_plan *ths_plan, int d, int N_total, int M_total, int *N, int *N1, int m, unsigned nnfft_flags)
 
void nnfftl_trafo_direct (nnfftl_plan *ths_plan)
 
void nnfftl_adjoint_direct (nnfftl_plan *ths_plan)
 
void nnfftl_trafo (nnfftl_plan *ths_plan)
 
void nnfftl_adjoint (nnfftl_plan *ths_plan)
 
void nnfftl_precompute_lin_psi (nnfftl_plan *ths_plan)
 
void nnfftl_precompute_psi (nnfftl_plan *ths_plan)
 
void nnfftl_precompute_full_psi (nnfftl_plan *ths_plan)
 
void nnfftl_precompute_phi_hut (nnfftl_plan *ths_plan)
 
void nnfftl_precompute_one_psi (nnfftl_plan *ths)
 
void nnfftl_finalize (nnfftl_plan *ths_plan)
 
void nsfftf_trafo_direct (nsfftf_plan *ths)
 
void nsfftf_adjoint_direct (nsfftf_plan *ths)
 
void nsfftf_trafo (nsfftf_plan *ths)
 
void nsfftf_adjoint (nsfftf_plan *ths)
 
void nsfftf_cp (nsfftf_plan *ths, nfftf_plan *ths_nfft)
 
void nsfftf_init_random_nodes_coeffs (nsfftf_plan *ths)
 
void nsfftf_init (nsfftf_plan *ths, int d, int J, int M, int m, unsigned flags)
 
void nsfftf_finalize (nsfftf_plan *ths)
 
void nsfft_trafo_direct (nsfft_plan *ths)
 
void nsfft_adjoint_direct (nsfft_plan *ths)
 
void nsfft_trafo (nsfft_plan *ths)
 
void nsfft_adjoint (nsfft_plan *ths)
 
void nsfft_cp (nsfft_plan *ths, nfft_plan *ths_nfft)
 
void nsfft_init_random_nodes_coeffs (nsfft_plan *ths)
 
void nsfft_init (nsfft_plan *ths, int d, int J, int M, int m, unsigned flags)
 
void nsfft_finalize (nsfft_plan *ths)
 
void nsfftl_trafo_direct (nsfftl_plan *ths)
 
void nsfftl_adjoint_direct (nsfftl_plan *ths)
 
void nsfftl_trafo (nsfftl_plan *ths)
 
void nsfftl_adjoint (nsfftl_plan *ths)
 
void nsfftl_cp (nsfftl_plan *ths, nfftl_plan *ths_nfft)
 
void nsfftl_init_random_nodes_coeffs (nsfftl_plan *ths)
 
void nsfftl_init (nsfftl_plan *ths, int d, int J, int M, int m, unsigned flags)
 
void nsfftl_finalize (nsfftl_plan *ths)
 
void mrif_inh_2d1d_trafo (mrif_inh_2d1d_plan *ths)
 
void mrif_inh_2d1d_adjoint (mrif_inh_2d1d_plan *ths)
 
void mrif_inh_2d1d_init_guru (mrif_inh_2d1d_plan *ths, int *N, int M, int *n, int m, float sigma, unsigned nfft_flags, unsigned fftw_flags)
 
void mrif_inh_2d1d_finalize (mrif_inh_2d1d_plan *ths)
 
void mrif_inh_3d_trafo (mrif_inh_3d_plan *ths)
 
void mrif_inh_3d_adjoint (mrif_inh_3d_plan *ths)
 
void mrif_inh_3d_init_guru (mrif_inh_3d_plan *ths, int *N, int M, int *n, int m, float sigma, unsigned nfft_flags, unsigned fftw_flags)
 
void mrif_inh_3d_finalize (mrif_inh_3d_plan *ths)
 
void mri_inh_2d1d_trafo (mri_inh_2d1d_plan *ths)
 
void mri_inh_2d1d_adjoint (mri_inh_2d1d_plan *ths)
 
void mri_inh_2d1d_init_guru (mri_inh_2d1d_plan *ths, int *N, int M, int *n, int m, double sigma, unsigned nfft_flags, unsigned fftw_flags)
 
void mri_inh_2d1d_finalize (mri_inh_2d1d_plan *ths)
 
void mri_inh_3d_trafo (mri_inh_3d_plan *ths)
 
void mri_inh_3d_adjoint (mri_inh_3d_plan *ths)
 
void mri_inh_3d_init_guru (mri_inh_3d_plan *ths, int *N, int M, int *n, int m, double sigma, unsigned nfft_flags, unsigned fftw_flags)
 
void mri_inh_3d_finalize (mri_inh_3d_plan *ths)
 
void mril_inh_2d1d_trafo (mril_inh_2d1d_plan *ths)
 
void mril_inh_2d1d_adjoint (mril_inh_2d1d_plan *ths)
 
void mril_inh_2d1d_init_guru (mril_inh_2d1d_plan *ths, int *N, int M, int *n, int m, long double sigma, unsigned nfft_flags, unsigned fftw_flags)
 
void mril_inh_2d1d_finalize (mril_inh_2d1d_plan *ths)
 
void mril_inh_3d_trafo (mril_inh_3d_plan *ths)
 
void mril_inh_3d_adjoint (mril_inh_3d_plan *ths)
 
void mril_inh_3d_init_guru (mril_inh_3d_plan *ths, int *N, int M, int *n, int m, long double sigma, unsigned nfft_flags, unsigned fftw_flags)
 
void mril_inh_3d_finalize (mril_inh_3d_plan *ths)
 
void nfsftf_init (nfsftf_plan *plan, int N, int M)
 
void nfsftf_init_advanced (nfsftf_plan *plan, int N, int M, unsigned int nfsft_flags)
 
void nfsftf_init_guru (nfsftf_plan *plan, int N, int M, unsigned int nfsft_flags, unsigned int nfft_flags, int nfft_cutoff)
 
void nfsftf_precompute (int N, float kappa, unsigned int nfsft_flags, unsigned int fpt_flags)
 
void nfsftf_forget (void)
 
void nfsftf_trafo_direct (nfsftf_plan *plan)
 
void nfsftf_adjoint_direct (nfsftf_plan *plan)
 
void nfsftf_trafo (nfsftf_plan *plan)
 
void nfsftf_adjoint (nfsftf_plan *plan)
 
void nfsftf_finalize (nfsftf_plan *plan)
 
void nfsftf_precompute_x (nfsftf_plan *plan)
 
void nfsft_init (nfsft_plan *plan, int N, int M)
 
void nfsft_init_advanced (nfsft_plan *plan, int N, int M, unsigned int nfsft_flags)
 
void nfsft_init_guru (nfsft_plan *plan, int N, int M, unsigned int nfsft_flags, unsigned int nfft_flags, int nfft_cutoff)
 
void nfsft_precompute (int N, double kappa, unsigned int nfsft_flags, unsigned int fpt_flags)
 
void nfsft_forget (void)
 
void nfsft_trafo_direct (nfsft_plan *plan)
 
void nfsft_adjoint_direct (nfsft_plan *plan)
 
void nfsft_trafo (nfsft_plan *plan)
 
void nfsft_adjoint (nfsft_plan *plan)
 
void nfsft_finalize (nfsft_plan *plan)
 
void nfsft_precompute_x (nfsft_plan *plan)
 
void nfsftl_init (nfsftl_plan *plan, int N, int M)
 
void nfsftl_init_advanced (nfsftl_plan *plan, int N, int M, unsigned int nfsft_flags)
 
void nfsftl_init_guru (nfsftl_plan *plan, int N, int M, unsigned int nfsft_flags, unsigned int nfft_flags, int nfft_cutoff)
 
void nfsftl_precompute (int N, long double kappa, unsigned int nfsft_flags, unsigned int fpt_flags)
 
void nfsftl_forget (void)
 
void nfsftl_trafo_direct (nfsftl_plan *plan)
 
void nfsftl_adjoint_direct (nfsftl_plan *plan)
 
void nfsftl_trafo (nfsftl_plan *plan)
 
void nfsftl_adjoint (nfsftl_plan *plan)
 
void nfsftl_finalize (nfsftl_plan *plan)
 
void nfsftl_precompute_x (nfsftl_plan *plan)
 
fptf_set fptf_init (const int M, const int t, const unsigned int flags)
 
void fptf_precompute (fptf_set set, const int m, float *alpha, float *beta, float *gam, int k_start, const float threshold)
 
void fptf_trafo_direct (fptf_set set, const int m, const fftwf_complex *x, fftwf_complex *y, const int k_end, const unsigned int flags)
 
void fptf_trafo (fptf_set set, const int m, const fftwf_complex *x, fftwf_complex *y, const int k_end, const unsigned int flags)
 
void fptf_transposed_direct (fptf_set set, const int m, fftwf_complex *x, fftwf_complex *y, const int k_end, const unsigned int flags)
 
void fptf_transposed (fptf_set set, const int m, fftwf_complex *x, fftwf_complex *y, const int k_end, const unsigned int flags)
 
void fptf_finalize (fptf_set set)
 
fpt_set fpt_init (const int M, const int t, const unsigned int flags)
 
void fpt_precompute (fpt_set set, const int m, double *alpha, double *beta, double *gam, int k_start, const double threshold)
 
void fpt_trafo_direct (fpt_set set, const int m, const fftw_complex *x, fftw_complex *y, const int k_end, const unsigned int flags)
 
void fpt_trafo (fpt_set set, const int m, const fftw_complex *x, fftw_complex *y, const int k_end, const unsigned int flags)
 
void fpt_transposed_direct (fpt_set set, const int m, fftw_complex *x, fftw_complex *y, const int k_end, const unsigned int flags)
 
void fpt_transposed (fpt_set set, const int m, fftw_complex *x, fftw_complex *y, const int k_end, const unsigned int flags)
 
void fpt_finalize (fpt_set set)
 
fptl_set fptl_init (const int M, const int t, const unsigned int flags)
 
void fptl_precompute (fptl_set set, const int m, long double *alpha, long double *beta, long double *gam, int k_start, const long double threshold)
 
void fptl_trafo_direct (fptl_set set, const int m, const fftwl_complex *x, fftwl_complex *y, const int k_end, const unsigned int flags)
 
void fptl_trafo (fptl_set set, const int m, const fftwl_complex *x, fftwl_complex *y, const int k_end, const unsigned int flags)
 
void fptl_transposed_direct (fptl_set set, const int m, fftwl_complex *x, fftwl_complex *y, const int k_end, const unsigned int flags)
 
void fptl_transposed (fptl_set set, const int m, fftwl_complex *x, fftwl_complex *y, const int k_end, const unsigned int flags)
 
void fptl_finalize (fptl_set set)
 
void nfsoftf_precompute (nfsoftf_plan *plan)
 
fptf_set nfsoftf_SO3_single_fpt_init (int l, int k, int m, unsigned int flags, int kappa)
 
void nfsoftf_SO3_fpt (fftwf_complex *coeffs, fptf_set set, int l, int k, int m, unsigned int nfsoft_flags)
 
void nfsoftf_SO3_fpt_transposed (fftwf_complex *coeffs, fptf_set set, int l, int k, int m, unsigned int nfsoft_flags)
 
void nfsoftf_init (nfsoftf_plan *plan, int N, int M)
 
void nfsoftf_init_advanced (nfsoftf_plan *plan, int N, int M, unsigned int nfsoft_flags)
 
void nfsoftf_init_guru (nfsoftf_plan *plan, int N, int M, unsigned int nfsoft_flags, unsigned int nfft_flags, int nfft_cutoff, int fpt_kappa)
 
void nfsoftf_init_guru_advanced (nfsoftf_plan *plan, int N, int M, unsigned int nfsoft_flags, unsigned int nfft_flags, int nfft_cutoff, int fpt_kappa, int nn_oversampled)
 
void nfsoftf_trafo (nfsoftf_plan *plan_nfsoft)
 
void nfsoftf_adjoint (nfsoftf_plan *plan_nfsoft)
 
void nfsoftf_finalize (nfsoftf_plan *plan)
 
int nfsoftf_posN (int n, int m, int B)
 
void nfsoft_precompute (nfsoft_plan *plan)
 
fpt_set nfsoft_SO3_single_fpt_init (int l, int k, int m, unsigned int flags, int kappa)
 
void nfsoft_SO3_fpt (fftw_complex *coeffs, fpt_set set, int l, int k, int m, unsigned int nfsoft_flags)
 
void nfsoft_SO3_fpt_transposed (fftw_complex *coeffs, fpt_set set, int l, int k, int m, unsigned int nfsoft_flags)
 
void nfsoft_init (nfsoft_plan *plan, int N, int M)
 
void nfsoft_init_advanced (nfsoft_plan *plan, int N, int M, unsigned int nfsoft_flags)
 
void nfsoft_init_guru (nfsoft_plan *plan, int N, int M, unsigned int nfsoft_flags, unsigned int nfft_flags, int nfft_cutoff, int fpt_kappa)
 
void nfsoft_init_guru_advanced (nfsoft_plan *plan, int N, int M, unsigned int nfsoft_flags, unsigned int nfft_flags, int nfft_cutoff, int fpt_kappa, int nn_oversampled)
 
void nfsoft_trafo (nfsoft_plan *plan_nfsoft)
 
void nfsoft_adjoint (nfsoft_plan *plan_nfsoft)
 
void nfsoft_finalize (nfsoft_plan *plan)
 
int nfsoft_posN (int n, int m, int B)
 
void nfsoftl_precompute (nfsoftl_plan *plan)
 
fptl_set nfsoftl_SO3_single_fpt_init (int l, int k, int m, unsigned int flags, int kappa)
 
void nfsoftl_SO3_fpt (fftwl_complex *coeffs, fptl_set set, int l, int k, int m, unsigned int nfsoft_flags)
 
void nfsoftl_SO3_fpt_transposed (fftwl_complex *coeffs, fptl_set set, int l, int k, int m, unsigned int nfsoft_flags)
 
void nfsoftl_init (nfsoftl_plan *plan, int N, int M)
 
void nfsoftl_init_advanced (nfsoftl_plan *plan, int N, int M, unsigned int nfsoft_flags)
 
void nfsoftl_init_guru (nfsoftl_plan *plan, int N, int M, unsigned int nfsoft_flags, unsigned int nfft_flags, int nfft_cutoff, int fpt_kappa)
 
void nfsoftl_init_guru_advanced (nfsoftl_plan *plan, int N, int M, unsigned int nfsoft_flags, unsigned int nfft_flags, int nfft_cutoff, int fpt_kappa, int nn_oversampled)
 
void nfsoftl_trafo (nfsoftl_plan *plan_nfsoft)
 
void nfsoftl_adjoint (nfsoftl_plan *plan_nfsoft)
 
void nfsoftl_finalize (nfsoftl_plan *plan)
 
int nfsoftl_posN (int n, int m, int B)
 
void solverf_init_advanced_complex (solverf_plan_complex *ths, nfftf_mv_plan_complex *mv, unsigned flags)
 
void solverf_init_complex (solverf_plan_complex *ths, nfftf_mv_plan_complex *mv)
 
void solverf_before_loop_complex (solverf_plan_complex *ths)
 
void solverf_loop_one_step_complex (solverf_plan_complex *ths)
 
void solverf_finalize_complex (solverf_plan_complex *ths)
 
void solverf_init_advanced_double (solverf_plan_double *ths, nfftf_mv_plan_double *mv, unsigned flags)
 
void solverf_init_double (solverf_plan_double *ths, nfftf_mv_plan_double *mv)
 
void solverf_before_loop_double (solverf_plan_double *ths)
 
void solverf_loop_one_step_double (solverf_plan_double *ths)
 
void solverf_finalize_double (solverf_plan_double *ths)
 
void solver_init_advanced_complex (solver_plan_complex *ths, nfft_mv_plan_complex *mv, unsigned flags)
 
void solver_init_complex (solver_plan_complex *ths, nfft_mv_plan_complex *mv)
 
void solver_before_loop_complex (solver_plan_complex *ths)
 
void solver_loop_one_step_complex (solver_plan_complex *ths)
 
void solver_finalize_complex (solver_plan_complex *ths)
 
void solver_init_advanced_double (solver_plan_double *ths, nfft_mv_plan_double *mv, unsigned flags)
 
void solver_init_double (solver_plan_double *ths, nfft_mv_plan_double *mv)
 
void solver_before_loop_double (solver_plan_double *ths)
 
void solver_loop_one_step_double (solver_plan_double *ths)
 
void solver_finalize_double (solver_plan_double *ths)
 
void solverl_init_advanced_complex (solverl_plan_complex *ths, nfftl_mv_plan_complex *mv, unsigned flags)
 
void solverl_init_complex (solverl_plan_complex *ths, nfftl_mv_plan_complex *mv)
 
void solverl_before_loop_complex (solverl_plan_complex *ths)
 
void solverl_loop_one_step_complex (solverl_plan_complex *ths)
 
void solverl_finalize_complex (solverl_plan_complex *ths)
 
void solverl_init_advanced_double (solverl_plan_double *ths, nfftl_mv_plan_double *mv, unsigned flags)
 
void solverl_init_double (solverl_plan_double *ths, nfftl_mv_plan_double *mv)
 
void solverl_before_loop_double (solverl_plan_double *ths)
 
void solverl_loop_one_step_double (solverl_plan_double *ths)
 
void solverl_finalize_double (solverl_plan_double *ths)
 
float nfftf_drand48 (void)
 
void nfftf_srand48 (long int seed)
 
void nfftf_vrand_unit_complex (fftwf_complex *x, const NFFT_INT n)
 Inits a vector of random complex numbers in $[0,1]\times[0,1]{\rm i}$. More...
 
void nfftf_vrand_shifted_unit_double (float *x, const NFFT_INT n)
 Inits a vector of random double numbers in $[-1/2,1/2]$. More...
 
void nfftf_vrand_real (float *x, const NFFT_INT n, const float a, const float b)
 
void nfftf_vpr_double (float *x, const NFFT_INT n, const char *text)
 Print real vector to standard output. More...
 
void nfftf_vpr_complex (fftwf_complex *x, const NFFT_INT n, const char *text)
 Print complex vector to standard output. More...
 
NFFT_INT nfftf_get_num_threads (void)
 
float nfftf_clock_gettime_seconds (void)
 
float nfftf_error_l_infty_complex (const fftwf_complex *x, const fftwf_complex *y, const NFFT_INT n)
 
float nfftf_error_l_infty_1_complex (const fftwf_complex *x, const fftwf_complex *y, const NFFT_INT n, const fftwf_complex *z, const NFFT_INT m)
 
NFFT_INT nfftf_exp2i (const NFFT_INT a)
 
NFFT_INT nfftf_next_power_of_2 (const NFFT_INT N)
 
float nfftf_dot_complex (fftwf_complex *x, NFFT_INT n)
 Computes the inner/dot product $x^H x$. More...
 
void nfftf_upd_axpy_complex (fftwf_complex *x, float a, fftwf_complex *y, NFFT_INT n)
 Updates $x \leftarrow a x + y$. More...
 
void nfftf_fftshift_complex (fftwf_complex *x, NFFT_INT d, NFFT_INT *N)
 Swaps each half over N[d]/2. More...
 
void nfftf_fftshift_complex_int (fftwf_complex *x, int d, int *N)
 
void nfftf_get_version (unsigned *major, unsigned *minor, unsigned *patch)
 Return library version. More...
 
const char * nfftf_get_window_name ()
 \ * Return name of window function. More...
 
double nfft_drand48 (void)
 
void nfft_srand48 (long int seed)
 
void nfft_vrand_unit_complex (fftw_complex *x, const NFFT_INT n)
 Inits a vector of random complex numbers in $[0,1]\times[0,1]{\rm i}$. More...
 
void nfft_vrand_shifted_unit_double (double *x, const NFFT_INT n)
 Inits a vector of random double numbers in $[-1/2,1/2]$. More...
 
void nfft_vrand_real (double *x, const NFFT_INT n, const double a, const double b)
 
void nfft_vpr_double (double *x, const NFFT_INT n, const char *text)
 Print real vector to standard output. More...
 
void nfft_vpr_complex (fftw_complex *x, const NFFT_INT n, const char *text)
 Print complex vector to standard output. More...
 
NFFT_INT nfft_get_num_threads (void)
 
double nfft_clock_gettime_seconds (void)
 
double nfft_error_l_infty_complex (const fftw_complex *x, const fftw_complex *y, const NFFT_INT n)
 
double nfft_error_l_infty_1_complex (const fftw_complex *x, const fftw_complex *y, const NFFT_INT n, const fftw_complex *z, const NFFT_INT m)
 
NFFT_INT nfft_exp2i (const NFFT_INT a)
 
NFFT_INT nfft_next_power_of_2 (const NFFT_INT N)
 
double nfft_dot_complex (fftw_complex *x, NFFT_INT n)
 Computes the inner/dot product $x^H x$. More...
 
void nfft_upd_axpy_complex (fftw_complex *x, double a, fftw_complex *y, NFFT_INT n)
 Updates $x \leftarrow a x + y$. More...
 
void nfft_fftshift_complex (fftw_complex *x, NFFT_INT d, NFFT_INT *N)
 Swaps each half over N[d]/2. More...
 
void nfft_fftshift_complex_int (fftw_complex *x, int d, int *N)
 
void nfft_get_version (unsigned *major, unsigned *minor, unsigned *patch)
 Return library version. More...
 
const char * nfft_get_window_name ()
 \ * Return name of window function. More...
 
long double nfftl_drand48 (void)
 
void nfftl_srand48 (long int seed)
 
void nfftl_vrand_unit_complex (fftwl_complex *x, const NFFT_INT n)
 Inits a vector of random complex numbers in $[0,1]\times[0,1]{\rm i}$. More...
 
void nfftl_vrand_shifted_unit_double (long double *x, const NFFT_INT n)
 Inits a vector of random double numbers in $[-1/2,1/2]$. More...
 
void nfftl_vrand_real (long double *x, const NFFT_INT n, const long double a, const long double b)
 
void nfftl_vpr_double (long double *x, const NFFT_INT n, const char *text)
 Print real vector to standard output. More...
 
void nfftl_vpr_complex (fftwl_complex *x, const NFFT_INT n, const char *text)
 Print complex vector to standard output. More...
 
NFFT_INT nfftl_get_num_threads (void)
 
long double nfftl_clock_gettime_seconds (void)
 
long double nfftl_error_l_infty_complex (const fftwl_complex *x, const fftwl_complex *y, const NFFT_INT n)
 
long double nfftl_error_l_infty_1_complex (const fftwl_complex *x, const fftwl_complex *y, const NFFT_INT n, const fftwl_complex *z, const NFFT_INT m)
 
NFFT_INT nfftl_exp2i (const NFFT_INT a)
 
NFFT_INT nfftl_next_power_of_2 (const NFFT_INT N)
 
long double nfftl_dot_complex (fftwl_complex *x, NFFT_INT n)
 Computes the inner/dot product $x^H x$. More...
 
void nfftl_upd_axpy_complex (fftwl_complex *x, long double a, fftwl_complex *y, NFFT_INT n)
 Updates $x \leftarrow a x + y$. More...
 
void nfftl_fftshift_complex (fftwl_complex *x, NFFT_INT d, NFFT_INT *N)
 Swaps each half over N[d]/2. More...
 
void nfftl_fftshift_complex_int (fftwl_complex *x, int d, int *N)
 
void nfftl_get_version (unsigned *major, unsigned *minor, unsigned *patch)
 Return library version. More...
 
const char * nfftl_get_window_name ()
 \ * Return name of window function. More...
 

Variables

nfftf_malloc_type_function nfftf_malloc_hook
 
nfftf_free_type_function nfftf_free_hook
 
nfftf_die_type_function nfftf_die_hook
 
nfft_malloc_type_function nfft_malloc_hook
 
nfft_free_type_function nfft_free_hook
 
nfft_die_type_function nfft_die_hook
 
nfftl_malloc_type_function nfftl_malloc_hook
 
nfftl_free_type_function nfftl_free_hook
 
nfftl_die_type_function nfftl_die_hook
 

Detailed Description

Header file for the nfft3 library.

Header file for NFFT3

Definition in file nfft3.h.

Macro Definition Documentation

#define MACRO_MV_PLAN (   RC)
Value:
NFFT_INT N_total; \
NFFT_INT M_total; \
RC *f_hat; \
RC *f; \
void (*mv_trafo)(void*); \
void (*mv_adjoint)(void*);

Adjoint transform.

Macros for public members inherited by all plan structures.

Definition at line 54 of file nfft3.h.

#define NFFT_DEFINE_MALLOC_API (   X)
Value:
/* our own memory allocation and exit functions */ \
NFFT_EXTERN void *X(malloc)(size_t n); \
NFFT_EXTERN void X(free)(void *p); \
NFFT_EXTERN void X(die)(const char *s); \
\
/* You can replace the hooks with your own functions, if necessary. We */ \
/* need this for the Matlab interface. */ \
typedef void *(*X(malloc_type_function)) (size_t n); \
typedef void (*X(free_type_function)) (void *p); \
typedef void (*X(die_type_function)) (const char *errString); \
NFFT_EXTERN X(malloc_type_function) X(malloc_hook); \
NFFT_EXTERN X(free_type_function) X(free_hook); \
NFFT_EXTERN X(die_type_function) X(die_hook);
X
#define X(name)
Include header for C99 complex datatype.
Definition: fastsum.h:57

Definition at line 75 of file nfft3.h.

#define MRI_DEFINE_API (   X,
  Z,
  R,
  C 
)
Value:
typedef struct\
{\
MACRO_MV_PLAN(C)\
Z(plan) plan;\
int N3;\
R sigma3;\
R *t;\
R *w;\
} X(inh_2d1d_plan);\
\
typedef struct\
{\
MACRO_MV_PLAN(C)\
Z(plan) plan;\
int N3;\
R sigma3;\
R *t;\
R *w;\
} X(inh_3d_plan);\
\
void X(inh_2d1d_trafo)(X(inh_2d1d_plan) *ths); \
void X(inh_2d1d_adjoint)(X(inh_2d1d_plan) *ths); \
void X(inh_2d1d_init_guru)(X(inh_2d1d_plan) *ths, int *N, int M, int *n, \
int m, R sigma, unsigned nfft_flags, unsigned fftw_flags); \
void X(inh_2d1d_finalize)(X(inh_2d1d_plan) *ths); \
void X(inh_3d_trafo)(X(inh_3d_plan) *ths); \
void X(inh_3d_adjoint)(X(inh_3d_plan) *ths); \
void X(inh_3d_init_guru)(X(inh_3d_plan) *ths, int *N, int M, int *n, \
int m, R sigma, unsigned nfft_flags, unsigned fftw_flags); \
void X(inh_3d_finalize)(X(inh_3d_plan) *ths);
MACRO_MV_PLAN
#define MACRO_MV_PLAN(RC)
Adjoint transform.
Definition: nfft3.h:54
X
#define X(name)
Include header for C99 complex datatype.
Definition: fastsum.h:57

Definition at line 492 of file nfft3.h.

#define FPT_DEFINE_API (   X,
  Y,
  R,
  C 
)
Value:
typedef struct X(set_s_) *X(set); \
\
NFFT_EXTERN X(set) X(init)(const int M, const int t, const unsigned int flags); \
NFFT_EXTERN void X(precompute)(X(set) set, const int m, R *alpha, R *beta, \
R *gam, int k_start, const R threshold); \
NFFT_EXTERN void X(trafo_direct)(X(set) set, const int m, const C *x, C *y, \
const int k_end, const unsigned int flags); \
NFFT_EXTERN void X(trafo)(X(set) set, const int m, const C *x, C *y, \
const int k_end, const unsigned int flags); \
NFFT_EXTERN void X(transposed_direct)(X(set) set, const int m, C *x, \
C *y, const int k_end, const unsigned int flags); \
NFFT_EXTERN void X(transposed)(X(set) set, const int m, C *x, \
C *y, const int k_end, const unsigned int flags); \
NFFT_EXTERN void X(finalize)(X(set) set);
X
#define X(name)
Include header for C99 complex datatype.
Definition: fastsum.h:57

Definition at line 610 of file nfft3.h.

#define NFSOFT_DEFINE_API (   X,
  Y,
  Z,
  R,
  C 
)
Value:
typedef struct X(plan_)\
{\
MACRO_MV_PLAN(C) \
R *x; \
C *wig_coeffs; \
C *cheby; \
C *aux; \
/* internal use only */\
int t; \
unsigned int flags; \
Y(plan) p_nfft; \
Z(set) internal_fpt_set; \
int fpt_kappa; \
} X(plan);\
\
NFFT_EXTERN void X(precompute)(X(plan) *plan); \
NFFT_EXTERN Z(set) X(SO3_single_fpt_init)(int l, int k, int m, unsigned int flags, int kappa); \
NFFT_EXTERN void X(SO3_fpt)(C *coeffs, Z(set) set, int l, int k, int m, unsigned int nfsoft_flags); \
NFFT_EXTERN void X(SO3_fpt_transposed)(C *coeffs, Z(set) set,int l, int k, int m,unsigned int nfsoft_flags); \
NFFT_EXTERN void X(init)(X(plan) *plan, int N, int M); \
NFFT_EXTERN void X(init_advanced)(X(plan) *plan, int N, int M,unsigned int nfsoft_flags); \
NFFT_EXTERN void X(init_guru)(X(plan) *plan, int N, int M,unsigned int nfsoft_flags,unsigned int nfft_flags,int nfft_cutoff,int fpt_kappa); \
NFFT_EXTERN void X(init_guru_advanced)(X(plan) *plan, int N, int M,unsigned int nfsoft_flags,unsigned int nfft_flags,int nfft_cutoff,int fpt_kappa, int nn_oversampled); \
NFFT_EXTERN void X(trafo)(X(plan) *plan_nfsoft); \
NFFT_EXTERN void X(adjoint)(X(plan) *plan_nfsoft); \
NFFT_EXTERN void X(finalize)(X(plan) *plan); \
NFFT_EXTERN int X(posN)(int n,int m, int B);
MACRO_MV_PLAN
#define MACRO_MV_PLAN(RC)
Adjoint transform.
Definition: nfft3.h:54
X
#define X(name)
Include header for C99 complex datatype.
Definition: fastsum.h:57

Definition at line 653 of file nfft3.h.

Typedef Documentation

typedef void *(* nfft_malloc_type_function)(size_t n)

A malloc type function

Definition at line 91 of file nfft3.h.

typedef void(* nfft_free_type_function)(void *p)

A free type function

Definition at line 91 of file nfft3.h.

typedef struct fptf_set_s_* fptf_set

A set of precomputed data for a set of DPT transforms of equal maximum length.

Definition at line 628 of file nfft3.h.

typedef struct fpt_set_s_* fpt_set

A set of precomputed data for a set of DPT transforms of equal maximum length.

Definition at line 628 of file nfft3.h.

typedef struct fptl_set_s_* fptl_set

A set of precomputed data for a set of DPT transforms of equal maximum length.

Definition at line 628 of file nfft3.h.

Function Documentation

void * nfft_malloc ( size_t  n)

Our malloc function

Parameters
nThe number of bytes to allocate

Referenced by fpt_init(), fpt_precompute(), main(), mri_inh_2d1d_init_guru(), mri_inh_2d1d_trafo(), mri_inh_3d_adjoint(), mri_inh_3d_trafo(), nfsft_precompute(), nnfft_init(), nnfft_init_guru(), nnfft_precompute_phi_hut(), and reconstruct().

void nfft_free ( void *  p)

Our free function

Parameters
pPointer to the memory region to free

Referenced by fpt_init(), fpt_precompute(), main(), mri_inh_2d1d_finalize(), mri_inh_2d1d_trafo(), mri_inh_3d_adjoint(), mri_inh_3d_finalize(), mri_inh_3d_trafo(), nfsft_finalize(), nfsft_forget(), nfsft_precompute(), nfsoft_finalize(), nnfft_finalize(), and reconstruct().

void nfftf_vrand_unit_complex ( fftwf_complex *  x,
const NFFT_INT  n 
)

Inits a vector of random complex numbers in $[0,1]\times[0,1]{\rm i}$.

\

void nfftf_vrand_shifted_unit_double ( float *  x,
const NFFT_INT  n 
)

Inits a vector of random double numbers in $[-1/2,1/2]$.

\

void nfftf_vpr_double ( float *  x,
const NFFT_INT  n,
const char *  text 
)

Print real vector to standard output.

void nfftf_vpr_complex ( fftwf_complex *  x,
const NFFT_INT  n,
const char *  text 
)

Print complex vector to standard output.

float nfftf_dot_complex ( fftwf_complex *  x,
NFFT_INT  n 
)

Computes the inner/dot product $x^H x$.

void nfftf_upd_axpy_complex ( fftwf_complex *  x,
float  a,
fftwf_complex *  y,
NFFT_INT  n 
)

Updates $x \leftarrow a x + y$.

void nfftf_fftshift_complex ( fftwf_complex *  x,
NFFT_INT  d,
NFFT_INT *  N 
)

Swaps each half over N[d]/2.

void nfftf_get_version ( unsigned *  major,
unsigned *  minor,
unsigned *  patch 
)

Return library version.

const char* nfftf_get_window_name ( )

\ * Return name of window function.

\ * \ * The window function to be used is configured at compile time. \

void nfft_vrand_unit_complex ( fftw_complex *  x,
const NFFT_INT  n 
)

Inits a vector of random complex numbers in $[0,1]\times[0,1]{\rm i}$.

\

Referenced by nsfft_init_random_nodes_coeffs().

void nfft_vrand_shifted_unit_double ( double *  x,
const NFFT_INT  n 
)

Inits a vector of random double numbers in $[-1/2,1/2]$.

\

Referenced by nsfft_init_random_nodes_coeffs().

void nfft_vpr_double ( double *  x,
const NFFT_INT  n,
const char *  text 
)

Print real vector to standard output.

void nfft_vpr_complex ( fftw_complex *  x,
const NFFT_INT  n,
const char *  text 
)

Print complex vector to standard output.

double nfft_dot_complex ( fftw_complex *  x,
NFFT_INT  n 
)

Computes the inner/dot product $x^H x$.

void nfft_upd_axpy_complex ( fftw_complex *  x,
double  a,
fftw_complex *  y,
NFFT_INT  n 
)

Updates $x \leftarrow a x + y$.

void nfft_fftshift_complex ( fftw_complex *  x,
NFFT_INT  d,
NFFT_INT *  N 
)

Swaps each half over N[d]/2.

void nfft_get_version ( unsigned *  major,
unsigned *  minor,
unsigned *  patch 
)

Return library version.

const char* nfft_get_window_name ( )

\ * Return name of window function.

\ * \ * The window function to be used is configured at compile time. \

void nfftl_vrand_unit_complex ( fftwl_complex *  x,
const NFFT_INT  n 
)

Inits a vector of random complex numbers in $[0,1]\times[0,1]{\rm i}$.

\

void nfftl_vrand_shifted_unit_double ( long double *  x,
const NFFT_INT  n 
)

Inits a vector of random double numbers in $[-1/2,1/2]$.

\

void nfftl_vpr_double ( long double *  x,
const NFFT_INT  n,
const char *  text 
)

Print real vector to standard output.

void nfftl_vpr_complex ( fftwl_complex *  x,
const NFFT_INT  n,
const char *  text 
)

Print complex vector to standard output.

long double nfftl_dot_complex ( fftwl_complex *  x,
NFFT_INT  n 
)

Computes the inner/dot product $x^H x$.

void nfftl_upd_axpy_complex ( fftwl_complex *  x,
long double  a,
fftwl_complex *  y,
NFFT_INT  n 
)

Updates $x \leftarrow a x + y$.

void nfftl_fftshift_complex ( fftwl_complex *  x,
NFFT_INT  d,
NFFT_INT *  N 
)

Swaps each half over N[d]/2.

void nfftl_get_version ( unsigned *  major,
unsigned *  minor,
unsigned *  patch 
)

Return library version.

const char* nfftl_get_window_name ( )

\ * Return name of window function.

\ * \ * The window function to be used is configured at compile time. \

Variable Documentation

nfft_malloc_type_function nfft_malloc_hook

Hook for nfft_malloc

nfft_free_type_function nfft_free_hook

Hook for nfft_free

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