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kml_fft(f)_plan_dft_3d

Create a plan for the three-dimensional C2C transform of a single contiguous data sequence.

Interface Definition

C interface:

kml_fft_plan kml_fft_plan_dft_3d(int n0, int n1, int n2, kml_fft_complex *in, kml_fft_complex *out, int sign, unsigned flags);

kml_fftf_plan kml_fftf_plan_dft_3d(int n0, int n1, int n2, kml_fftf_complex *in, kml_fftf_complex *out, int sign, unsigned flags);

Fortran interface:

RES = KML_FFT_PLAN_DFT_3D(N0, N1, N2, IN, OUT, SIGN, FLAGS);

RES = KML_FFTF_PLAN_DFT_3D(N0, N1, N2, IN, OUT, SIGN, FLAGS);

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_dft 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

n0

int

Inputs the size of the first dimension in the FFT sequence. The constraint is n0 ≥ 1.

Input

n1

int

Inputs the size of the second dimension in the FFT sequence. The constraint is n1 ≥ 1.

Input

n2

int

Inputs the size of the third dimension in the FFT sequence. The constraint is n2≥ 1.

Input

in

  • Double precision: kml_fft_complex*
  • Single precision: kml_fftf_complex*

Inputs the data to be transformed.

Input

out

  • Double precision: kml_fft_complex*
  • Single precision: kml_fftf_complex*

Outputs the data generated using FFT.

Output

sign

int

Specifies forward or backward transform.

  • -1(KML_FFT_FORWARD): forward
  • +1(KML_FFT_BACKWARD): backward

Input

flags

unsigned int

A planning option, not in use.

Input

Dependencies

C: "kfft.h"

Fortran: "kfft.f03"

Examples

C interface:

    int n0 = 2; 
    int n1 = 3; 
    int n2 = 2; 
    double init[12][2] = {{120, 0}, {8, 8}, {0, 0}, {0, 16}, {0, 16}, {-8, 8}, {-8, 0}, {-8, 8}, {-16, 0}, {0, -16}, {-40, 8}, {-8, -8}}; 
    kml_fft_complex *in; 
    in = (kml_fft_complex*)kml_fft_malloc(sizeof(kml_fft_complex) * n0 * n1 * n2); 
    for (int i = 0; i < n0 * n1 * n2; i++) { 
        in[i].r = init[i][0]; 
        in[i].i = init[i][1]; 
    } 
    kml_fft_complex *out; 
    out = (kml_fft_complex*)kml_fft_malloc(sizeof(kml_fft_complex) * n0 * n1 * n2); 
    kml_fft_plan plan; 
    plan = kml_fft_plan_dft_3d(n0, n1, n2, in, out, KML_FFT_FORWARD, KML_FFT_ESTIMATE); 
    kml_fft_execute_dft(plan, in, out); 
 
    kml_fft_destroy_plan(plan); 
    kml_fft_free(in); 
    kml_fft_free(out); 
 
    /* 
     * out = {{4.000000e+01, 4.000000e+01}, {7.200000e+01, 8.000000e+00}, 
     *        {1.272154e+02, -3.064102e+01}, {1.112154e+02, -3.492820e+01}, 
     *        {1.687846e+02, 3.864102e+01}, {1.527846e+02, -2.107180e+01}, 
     *        {2.000000e+02, 5.600000e+01}, {1.680000e+02, -4.000000e+01}, 
     *        {1.229282e+02, -7.215390e+00}, {6.321539e+01, 4.078461e+01}, 
     *        {1.090718e+02, -4.878461e+01}, {1.047846e+02, -7.846097e-01}} 
     */

Fortran interface:

    INTEGER(C_INT) :: N0 = 2 
    INTEGER(C_INT) :: N1 = 3 
    INTEGER(C_INT) :: N2 = 2 
    REAL(C_DOUBLE), DIMENSION(12, 2) :: INIT 
    TYPE(KML_FFT_COMPLEX), POINTER :: IN(:), OUT(:) 
    TYPE(C_PTR) :: PIN, POUT 
    TYPE(C_SIZE_T) :: SIZE 
    SIZE = 16 * N0 * N1 * N2 
    PIN = KML_FFT_MALLOC(SIZE) 
    POUT = KML_FFT_MALLOC(SIZE) 
    CALL C_F_POINTER(PIN, IN, SHAPE=[N0 * N1 * N2]) 
    CALL C_F_POINTER(POUT, OUT, SHAPE=[N0 * N1 * N2]) 
    DATA INIT/120, 8, 0, 0, 0, -8, -8, -8, -16, 0, -40, -8, 0, 8, 0, 16, 16, 8, 0, 8, 0, -16, 8, -8/ 
    INTEGER :: I 
    DO WHILE(I <= N0 * N1 * N2)  
        IN%R = INIT(I, 0) 
        IN%I = INIT(I, 1) 
    END DO 
    TYPE(C_PTR) :: PLAN 
    PLAN = KML_FFT_PLAN_DFT_3D(N0, N1, N2, IN, OUT, KML_FFT_FORWARD, KML_FFT_ESTIMATE) 
    CALL KML_FFT_EXECUTE_DFT(PLAN, IN, OUT) 
 
    CALL KML_FFT_DESTROY_PLAN(PLAN) 
    CALL KML_FFT_FREE(PIN) 
    CALL KML_FFT_FREE(POUT) 
    ! 
    ! OUT = /4.000000E+01, 4.000000E+01, 7.200000E+01, 8.000000E+00, 
    !        1.272154E+02, -3.064102E+01, 1.112154E+02, -3.492820E+01, 
    !        1.687846E+02, 3.864102E+01, 1.527846E+02, -2.107180E+01, 
    !        2.000000E+02, 5.600000E+01, 1.680000E+02, -4.000000E+01, 
    !        1.229282E+02, -7.215390E+00, 6.321539E+01, 4.078461E+01, 
    !        1.090718E+02, -4.878461E+01, 1.047846E+02, -7.846097E-01/ 
    !