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kml_fft(f)_plan_guru64_r2r

The data sequence of a single FFT does not need to be contiguous and can cross steps. Different from kml_fft_plan_guru_dft, kml_fft_plan_guru64_dft allows some parameters to be 64-bit integers.

Interface Definition

kml_fft_plan kml_fft_plan_guru64_r2r(int rank, const kml_fft_iodim64 *dims, int howmany_rank, const kml_fft_iodim64 *howmany_dims, double *in, double *out, const kml_fft_r2r_kind *kind, unsigned flags);

kml_fftf_plan kml_fftf_plan_guru64_r2r(int rank, const kml_fftf_iodim64 *dims, int howmany_rank, const kml_fftf_iodim64 *howmany_dims, float *in, float *out, const kml_fftf_r2r_kind *kind, unsigned flags);

Fortran interface:

RES = KML_FFT_PLAN_GURU64_DFT_R2R(RANK, DIMS, HOWMANY_RANK, HOWMANY_DIMS, IN, OUT, KIND, FLAGS);

RES = KML_FFTF_PLAN_GURU64_DFT_R2R(RANK, DIMS, HOWMANY_RANK, HOWMANY_DIMS, IN, OUT, KIND, FLAGS);

KML_FFT_REDFT11 and KML_FFT_ROODFT11 support only sequences whose length is an integer multiple of 4. Other transforms support only sequences whose length is an integer multiple of 2.

Return Value

The function returns a structure pointer of the kml_fft(f)_plan type. This object is used as a parameter in the kml_fft(f)_execute function to perform FFT on the current input and output. In addition, the object may also be added into the kml_fft(f)_execute_r2r function as a parameter to perform FFT on the new input and output.

If this function returns a non-null pointer, the plan has been successfully executed. Otherwise, the plan failed to be executed.

Parameters

Parameter

Data Type

Description

Input/Output

rank

int

Dimension of a single FFT sequence.

Constraint: 1 ≤ rank ≤ 3.

Input

dims

  • Double precision: const kml_fft_iodim64 *
  • Single precision: const kml_fftf_iodim64 *

dims is a structure array whose size is rank. dims[i] contains the following members:

  • ptrdiff_t n: FFT length of the i-th dimension.
  • ptrdiff_t is: interval between successive elements of the i-th dimensional FFT input sequence.
  • ptrdiff_t os: interval between successive elements of the i-th dimensional FFT output sequence.

Constraint: dims[i].n ≥ 1, for i in 0 to rank - 1.

Input

howmany_rank

int

The memory allocation between multiple rank-dimension FFTs is described by the howmany_dims array of the howmany_rank dimension. howmany_rank indicates the number of dimensions required by the memory access mode of the start address of each rank-dimension FFT to be calculated.

Constraint: 0 ≤ howmany_rank ≤ 3.

Input

howmany_dims

  • Double precision: const kml_fft_iodim64 *
  • Single precision: const kml_fftf_iodim64 *

howmany_dims is a structure array whose size is howmany_rank. howmany_dims[i] contains the following members:

  • ptrdiff_t n: number of pending FFTs in the i-th dimension of the howmany_rank dimension space.
  • ptrdiff_t is: interval between successive FFT input sequences of the i-th dimension.
  • ptrdiff_t os: interval between successive FFT output sequences of the i-th dimension.

Input

in

  • Double precision: double*
  • Single precision: float*

Inputs the data to be transformed.

Input

out

  • Double precision: double*
  • Single precision: float*

Outputs the data generated using FFT.

Output

kind

  • Double precision: const kml_fft_r2r_kind*
  • Single precision: const kml_fftf_r2r_kind*

kind is an array whose size is rank, including the R2R transform type in each dimension of an FFT sequence. kind[i] (for i in 0 to rank - 1) has the following options:

  • KML_FFT_R2HC
  • KML_FFT_HC2R
  • KML_FFT_DHT
  • KML_FFT_REDFT00
  • KML_FFT_REDFT01
  • KML_FFT_REDFT10
  • KML_FFT_REDFT11
  • KML_FFT_RODFT00
  • KML_FFT_RODFT01
  • KML_FFT_RODFT10
  • KML_FFT_RODFT11

Input

flags

unsigned int

A planning option, not in use.

Input

Dependencies

C: "kfft.h"

Fortran: "kfft.f03"

Examples

C interface:

    int rank = 2; 
    kml_fft_iodim64 *dims; 
    dims = (kml_fft_iodim64*)kml_fft_malloc(sizeof(kml_fft_iodim64) * rank); 
    dims[0].n = 2; 
    dims[0].is = 2; 
    dims[0].os = 2; 
    dims[1].n = 2; 
    dims[1].is = 1; 
    dims[1].os = 1; 
    int howmany_rank = 1; 
    kml_fft_iodim64 *howmany_dims; 
    howmany_dims = (kml_fft_iodim64*)kml_fft_malloc(sizeof(kml_fft_iodim64) * howmany_rank); 
    howmany_dims[0].n = 2; 
    howmany_dims[0].is = 2 * 2; 
    howmany_dims[0].os = 2 * 2; 
    double init[8] = {120, 0, 8, 8, 0, 0, 0, 16}; 
    double *in; 
    in = (double*)kml_fft_malloc(sizeof(double) * 8); 
    for (int i = 0; i < 8; i++) { 
        in[i] = init[i]; 
    } 
    double *out; 
    out = (double*)kml_fft_malloc(sizeof(double) * 8); 
    kml_fft_r2r_kind *kind; 
    kind = (kml_fft_r2r_kind*)kml_fft_malloc(sizeof(kml_fft_r2r_kind) * rank); 
    kind[0] = KML_FFT_DHT; 
    kind[1] = KML_FFT_REDFT01; 
    kml_fft_plan plan; 
    plan = kml_fft_plan_guru64_r2r(rank, dims, howmany_rank, howmany_dims, in, out, kind, KML_FFT_ESTIMATE); 
    kml_fft_execute_r2r(plan, in, out); 
 
    kml_fft_destroy_plan(plan); 
    kml_fft_free(howmany_dims); 
    kml_fft_free(dims); 
    kml_fft_free(kind); 
    kml_fft_free(in); 
    kml_fft_free(out); 
 
    /* 
     * out = {1.393137e+02, 1.166863e+02, 1.006863e+02, 1.233137e+02, 
     *        2.262742e+01, -2.262742e+01, -2.262742e+01, 2.262742e+01} 
     */

Fortran interface:

    INTEGER(C_INT) :: RANK = 2 
    INTEGER(C_INT) :: KIND(2) 
    INTEGER(C_INT) :: HOWMANY_RANK = 1 
    TYPE(KML_FFT_IODIM64), POINTER :: DIMS(:), HOWMANY_DIMS(:) 
    REAL(C_DOUBLE), DIMENSION(8) :: INIT 
    TYPE(C_DOUBLE), POINTER :: IN(:), OUT(:) 
    TYPE(C_PTR) :: PIN, POUT, PDIMS, PHOWMANY_DIMS 
    INTEGER(C_SIZE_T) :: SIZE1, SIZE2, SIZE3 
    SIZE1 = 8 * 12 
    SIZE3 = 24 * RANK 
    SIZE4 = 24 * HOWMANY_RANK 
    PDIMS = KML_FFT_MALLOC(SIZE2) 
    PHOWMANY_DIMS = KML_FFT_MALLOC(SIZE3) 
    PIN = KML_FFT_MALLOC(SIZE1) 
    POUT = KML_FFT_MALLOC(SIZE1) 
    CALL C_F_POINTER(PIN, IN, SHAPE=[8]) 
    CALL C_F_POINTER(POUT, OUT, SHAPE=[8]) 
    CALL C_F_POINTER(PDIMS, DIMS, SHAPE=[RANK]) 
    CALL C_F_POINTER(PHOWMANY_DIMS, HOWMANY_DIMS, SHAPE=[HOWMANY_RANK]) 
     
    DIMS(0)%N = 2 
    DIMS(0)%IS = 2 
    DIMS(0)%OS = 2 
    DIMS(1)%N = 2 
    DIMS(1)%IS = 1 
    DIMS(1)%OS = 1 
    HOWMANY_DIMS(0)%N = 2 
    HOWMANY_DIMS(0)%IS = 2 * 2 
    HOWMANY_DIMS(0)%OS = 2 * 2 
    DATA INIT/120, 0, 8, 8, 0, 0, 0, 16/ 
    INTEGER :: I 
    DO WHILE(I <= 8) 
        IN(I) = INIT(I) 
    END DO 
    KIND(0) = KML_FFT_DHT 
    KIND(1) = KML_FFT_REDFT01 
 
    TYPE(C_PTR) :: PLAN 
    PLAN = KML_FFT_PLAN_GURU4_R2R(RANK, DIMS, HOWMANY_RANK, HOWMANY_DIMS, IN, OUT, KIND, KML_FFT_ESTIMATE) 
    CALL KML_FFT_EXECUTE_R2R(PLAN, IN, OUT) 
 
    CALL KML_FFT_DESTROY_PLAN(PLAN) 
    CALL KML_FFT_FREE(PHOWMANY_DIMS) 
    CALL KML_FFT_FREE(PDIMS) 
    CALL KML_FFT_FREE(PIN) 
    CALL KML_FFT_FREE(POUT) 
    ! 
    ! OUT = /1.393137E+02, 1.166863E+02, 1.006863E+02, 1.233137E+02, 
    !        2.262742E+01, -2.262742E+01, -2.262742E+01, 2.262742E+01/ 
    !