kml_fft(f)_plan_guru64_dft
建立多组数据序列n维C2C变换的plan。其中，单个FFT的数据序列不需要是连续的，可以以跨步的形式提供。与kml_fft(f)_plan_guru_dft不同的是，kml_fft(f)_plan_guru64_dft允许部分参数是64位的整型。
接口定义
C interface：
kml_fft_plan kml_fft_plan_guru64_dft(int rank, const kml_fft_iodim64 *dims, int howmany_rank, const kml_fft_iodim64 *howmany_dims, kml_fft_complex *in, kml_fft_complex *out, int sign, unsigned flags);
kml_fftf_plan kml_fftf_plan_guru64_dft(int rank, const kml_fftf_iodim64 *dims, int howmany_rank, const kml_fftf_iodim64 *howmany_dims, kml_fftf_complex *in, kml_fftf_complex *out, int sign, unsigned flags);
Fortran interface：
RES = KML_FFT_PLAN_GURU64_DFT(RANK, DIMS, HOWMANY_RANK, HOWMANY_DIMS, IN, OUT, SIGN, FLAGS);
RES = KML_FFTF_PLAN_GURU64_DFT(RANK, DIMS, HOWMANY_RANK, HOWMANY_DIMS, IN, OUT, SIGN, FLAGS);
返回值
函数返回一个kml_fft(f)_plan类型的结构体指针。将该对象作为参数传入kml_fft(f)_execute函数中使用，将对当前提供的输入in和输出out执行FFT变换；另外，也可以通过将该对象作为参数传入kml_fft(f)_execute_dft函数中以对新的输入in和输出out执行FFT变换。
如果函数返回非空指针，则表示plan执行成功，否则表示执行失败。
参数
参数名 |
数据类型 |
描述 |
输入/输出 |
|---|---|---|---|
rank |
int |
单个FFT序列的维度。 约束：1≤rank≤3 |
输入 |
dims |
|
dims是大小为rank的结构体数组，dims[i]包含以下成员：
约束：dims[i].n≥1, for i in 0 to rank - 1 |
输入 |
howmany_rank |
int |
多个rank维FFT之间的内存排布用howmany_rank维的howmany_dims数组来描述，howmany_rank表示每个要计算的rank维FFT变换的起始地址的内存访问模式所需的维数。 约束：0≤howmany_rank≤3 |
输入 |
howmany_dims |
|
howmany_dims是大小为howmany_rank的结构体数组，howmany_dims[i]包含以下成员：
|
输入 |
in |
|
输入待变换的数据。 |
输入 |
out |
|
输出快速傅里叶变换后的数据。 |
输出 |
sign |
int |
描述正向变换或反向变换。
|
输入 |
flags |
unsigned int |
planning选项，未使用。 |
输入 |
依赖
C: "kfft.h"
示例
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 = 3;
dims[0].os = 3;
dims[1].n = 3;
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 * 3;
howmany_dims[0].os = 2 * 3;
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) * 12);
for (int i = 0; i < 12; i++) {
in[i][0] = init[i][0];
in[i][1] = init[i][1];
}
kml_fft_complex *out;
out = (kml_fft_complex*)kml_fft_malloc(sizeof(kml_fft_complex) * 12);
kml_fft_plan plan;
plan = kml_fft_plan_guru64_dft(rank, dims, howmany_rank, howmany_dims, in, out, KML_FFT_FORWARD, KML_FFT_ESTIMATE);
kml_fft_execute_dft(plan, in, out);
kml_fft_destroy_plan(plan);
kml_fft_free(howmany_dims);
kml_fft_free(dims);
kml_fft_free(in);
kml_fft_free(out);
/*
* out = {{1.200000e+02, 4.800000e+01}, {1.338564e+02, -1.385641e+01},
* {1.061436e+02, 1.385641e+01}, {1.360000e+02, -3.200000e+01},
* {1.120000e+02, -8.000000e+00}, {1.120000e+02, -8.000000e+00},
* {-8.000000e+01, -8.000000e+00}, {4.878461e+01, 7.846097e-01},
* {7.215390e+00, -4.078461e+01}, {1.600000e+01, 2.400000e+01},
* {-2.692820e+01, -2.264102e+01}, {-1.307180e+01, 4.664102e+01}}
*/
Fortran interface：
INTEGER(C_INT) :: RANK = 2
INTEGER(C_INT) :: HOWMANY_RANK = 1
TYPE(KML_FFT_IODIM64), POINTER :: DIMS(:), HOWMANY_DIMS(:)
REAL(C_DOUBLE), DIMENSION(12, 2) :: INIT
TYPE(KML_FFT_COMPLEX), POINTER :: IN(:), OUT(:)
TYPE(C_PTR) :: PIN, POUT, PDIMS, PHOWMANY_DIMS
INTEGER(C_SIZE_T) :: SIZE1, SIZE2, SIZE3
SIZE1 = 16 * 12
SIZE2 = 24 * RANK
SIZE3 = 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=[12])
CALL C_F_POINTER(POUT, OUT, SHAPE=[12])
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 = 3
DIMS(0)%OS = 3
DIMS(1)%N = 3
DIMS(1)%IS = 1
DIMS(1)%OS = 1
HOWMANY_DIMS(0)%N = 2
HOWMANY_DIMS(0)%IS = 2 * 3
HOWMANY_DIMS(0)%OS = 2 * 3
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 <= 12)
IN%R = INIT(I, 0)
IN%I = INIT(I, 1)
END DO
TYPE(C_PTR) :: PLAN
PLAN = KML_FFT_PLAN_GURU64_DFT(RANK, DIMS, HOWMANY_RANK, HOWMANY_DIMS, 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(PHOWMANY_DIMS)
CALL KML_FFT_FREE(PDIMS)
CALL KML_FFT_FREE(PIN)
CALL KML_FFT_FREE(POUT)
!
! OUT = /1.200000E+02, 4.800000E+01, 1.338564E+02, -1.385641E+01,
! 1.061436E+02, 1.385641E+01, 1.360000E+02, -3.200000E+01,
! 1.120000E+02, -8.000000E+00, 1.120000E+02, -8.000000E+00,
! -8.000000E+01, -8.000000E+00, 4.878461E+01, 7.846097E-01,
! 7.215390E+00, -4.078461E+01, 1.600000E+01, 2.400000E+01,
! -2.692820E+01, -2.264102E+01, -1.307180E+01, 4.664102E+01/
!