Module: FFTE

Defined in:
ffte.c

Defined Under Namespace

Classes: RadixError

Class Method Summary (collapse)

Class Method Details

+ (NArray::DComplex) dzfft2d(narray)

2-dimentional REAL-TO-COMPLEX FFT (Fast Fourier Transform) using Radix-2,3,4,5,8 FFT routine. Calculates on each last 2-dimention. FORWARD TRANSFORM.

Parameters:

  • narray (NArray::DFloat) —

    >=2-dimentional REAL NArray.

    NArray::DFloat(.., NY, NX)
 NX = (2**IP) * (3**IQ) * (5**IR)
 NY = (2**JP) * (3**JQ) * (5**JR)

Returns:

  • (NArray::DComplex) —

    Result COMPLEX narray:

    NArray::DComplex(.., NY, NX/2+1)

Raises:



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# File 'ffte.c', line 589

static VALUE
nary_ffte_dzfft2d(int argc, VALUE *args, VALUE mod)
{
    ndfunc_t *func;
    narray_t *na;
    volatile VALUE vres, vna;
    int ndim;
    integer iopt=0;
    dcomplex *b;
    integer n1,n2;
    size_t n=1;
    size_t shape[2];

    rb_scan_args(argc, args, "10", &vna);
    GetNArray(vna,na);
    ndim = NA_NDIM(na);
    if (ndim<2) {
        rb_raise(eRadixError,"ndim(=%d) should >= 2",ndim);
    }

    n1 = NA_SHAPE(na)[NA_NDIM(na)-1];
    n *= n1;

    shape[1] = n1/2+1;

    if (!is235radix(n1)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-1,shape[1]);
    }

    n2 = NA_SHAPE(na)[NA_NDIM(na)-2];
    n *= n2;

    shape[0] = n2;

    if (!is235radix(n2)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-2,shape[0]);
    }


    func = ndfunc_alloc(iter_fft_dzfft2d, NO_LOOP, 1, 1, cDFloat, cDComplex);
    func->args[0].dim = 2;
    func->args[1].dim = 2;
    func->args[1].aux.shape_p = shape;

    vna = na_copy(vna);
    b = ALLOC_N(dcomplex,n);

    dzfft2d_(NULL, &n1,&n2, &iopt, b);
    vres = ndloop_do3(func, b, 1, vna);
    ndfunc_free(func);
    xfree(b);

    return vres;
}

+ (NArray::DComplex) dzfft3d(narray)

3-dimentional REAL-TO-COMPLEX FFT (Fast Fourier Transform) using Radix-2,3,4,5,8 FFT routine. Calculates on each last 3-dimention. FORWARD TRANSFORM.

Parameters:

  • narray (NArray::DFloat) —

    >=3-dimentional REAL NArray.

    NArray::DFloat(.., NZ, NY, NX)
 NX = (2**IP) * (3**IQ) * (5**IR)
 NY = (2**JP) * (3**JQ) * (5**JR)
 NZ = (2**KP) * (3**KQ) * (5**KR)

Returns:

  • (NArray::DComplex) —

    Result COMPLEX narray:

    NArray::DComplex(.., NZ, NY, NX/2+1)

Raises:



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# File 'ffte.c', line 696

static VALUE
nary_ffte_dzfft3d(int argc, VALUE *args, VALUE mod)
{
    ndfunc_t *func;
    narray_t *na;
    volatile VALUE vres, vna;
    int ndim;
    integer iopt=0;
    dcomplex *b;
    integer n1,n2,n3;
    size_t n=1;
    size_t shape[3];

    rb_scan_args(argc, args, "10", &vna);
    GetNArray(vna,na);
    ndim = NA_NDIM(na);
    if (ndim<3) {
        rb_raise(eRadixError,"ndim(=%d) should >= 3",ndim);
    }

    n1 = NA_SHAPE(na)[NA_NDIM(na)-1];
    n *= n1;

    shape[2] = n1/2+1;

    if (!is235radix(n1)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-1,shape[2]);
    }

    n2 = NA_SHAPE(na)[NA_NDIM(na)-2];
    n *= n2;

    shape[1] = n2;

    if (!is235radix(n2)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-2,shape[1]);
    }

    n3 = NA_SHAPE(na)[NA_NDIM(na)-3];
    n *= n3;

    shape[0] = n3;

    if (!is235radix(n3)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-3,shape[0]);
    }


    func = ndfunc_alloc(iter_fft_dzfft3d, NO_LOOP, 1, 1, cDFloat, cDComplex);
    func->args[0].dim = 3;
    func->args[1].dim = 3;
    func->args[1].aux.shape_p = shape;

    vna = na_copy(vna);
    b = ALLOC_N(dcomplex,n);

    dzfft3d_(NULL, &n1,&n2,&n3, &iopt, b);
    vres = ndloop_do3(func, b, 1, vna);
    ndfunc_free(func);
    xfree(b);

    return vres;
}

+ (NArray::DFloat) zdfft2d(narray)

2-dimentional COMPLEX-TO-REAL FFT (Fast Fourier Transform) using Radix-2,3,4,5,8 FFT routine. Calculates on each last 2-dimention. INVERSE TRANSFORM.

Parameters:

  • narray (NArray::DComplex) —

    >=2-dimentional COMPLEX NArray.

    NArray::DComplex(.., NY, NX/2+1)
 NX = (2**IP) * (3**IQ) * (5**IR)
 NY = (2**JP) * (3**JQ) * (5**JR)

Returns:

  • (NArray::DFloat) —

    Result REAL narray:

    NArray::DFloat(.., NY, NX)

Raises:



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# File 'ffte.c', line 366

static VALUE
nary_ffte_zdfft2d(int argc, VALUE *args, VALUE mod)
{
    ndfunc_t *func;
    narray_t *na;
    volatile VALUE vres, vna;
    int ndim;
    integer iopt=0;
    dcomplex *b;
    integer n1,n2;
    size_t n=1;
    size_t shape[2];

    rb_scan_args(argc, args, "10", &vna);
    GetNArray(vna,na);
    ndim = NA_NDIM(na);
    if (ndim<2) {
        rb_raise(eRadixError,"ndim(=%d) should >= 2",ndim);
    }

    n1 = NA_SHAPE(na)[NA_NDIM(na)-1];
    n *= n1;

    shape[1] = (n1-1)*2;

    if (!is235radix(shape[1])) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-1,shape[1]);
    }

    n2 = NA_SHAPE(na)[NA_NDIM(na)-2];
    n *= n2;

    shape[0] =  n2;

    if (!is235radix(shape[0])) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-2,shape[0]);
    }


    func = ndfunc_alloc(iter_fft_zdfft2d, NO_LOOP, 1, 1, cDComplex, cDFloat);
    func->args[0].dim = 2;
    func->args[1].dim = 2;
    func->args[1].aux.shape_p = shape;

    vna = na_copy(vna);
    b = ALLOC_N(dcomplex,n);

    zdfft2d_(NULL, &n1,&n2, &iopt, b);
    vres = ndloop_do3(func, b, 1, vna);
    ndfunc_free(func);
    xfree(b);

    return vres;
}

+ (NArray::DFloat) zdfft3d(narray)

3-dimentional COMPLEX-TO-REAL FFT (Fast Fourier Transform) using Radix-2,3,4,5,8 FFT routine. Calculates on each last 3-dimention. INVERSE TRANSFORM.

Parameters:

  • narray (NArray::DComplex) —

    >=3-dimentional COMPLEX NArray.

    NArray::DComplex(.., NZ, NY, NX/2+1)
 NX = (2**IP) * (3**IQ) * (5**IR)
 NY = (2**JP) * (3**JQ) * (5**JR)
 NZ = (2**KP) * (3**KQ) * (5**KR)

Returns:

  • (NArray::DFloat) —

    Result REAL narray:

    NArray::DFloat(.., NZ, NY, NX)

Raises:



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# File 'ffte.c', line 472

static VALUE
nary_ffte_zdfft3d(int argc, VALUE *args, VALUE mod)
{
    ndfunc_t *func;
    narray_t *na;
    volatile VALUE vres, vna;
    int ndim;
    integer iopt=0;
    dcomplex *b;
    integer n1,n2,n3;
    size_t n=1;
    size_t shape[3];

    rb_scan_args(argc, args, "10", &vna);
    GetNArray(vna,na);
    ndim = NA_NDIM(na);
    if (ndim<3) {
        rb_raise(eRadixError,"ndim(=%d) should >= 3",ndim);
    }

    n1 = NA_SHAPE(na)[NA_NDIM(na)-1];
    n *= n1;

    shape[2] = (n1-1)*2;

    if (!is235radix(shape[2])) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-1,shape[2]);
    }

    n2 = NA_SHAPE(na)[NA_NDIM(na)-2];
    n *= n2;

    shape[1] =  n2;

    if (!is235radix(shape[1])) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-2,shape[1]);
    }

    n3 = NA_SHAPE(na)[NA_NDIM(na)-3];
    n *= n3;

    shape[0] =  n3;

    if (!is235radix(shape[0])) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",
                 NA_NDIM(na)-3,shape[0]);
    }


    func = ndfunc_alloc(iter_fft_zdfft3d, NO_LOOP, 1, 1, cDComplex, cDFloat);
    func->args[0].dim = 3;
    func->args[1].dim = 3;
    func->args[1].aux.shape_p = shape;

    vna = na_copy(vna);
    b = ALLOC_N(dcomplex,n);

    zdfft3d_(NULL, &n1,&n2,&n3, &iopt, b);
    vres = ndloop_do3(func, b, 1, vna);
    ndfunc_free(func);
    xfree(b);

    return vres;
}

+ (NArray::DComplex) zfft1d(narray, [iopt])

1-dimentional COMPLEX FFT (Fast Fourier Transform) using Radix-2,3,4,5,8 FFT routine. Calculates on each last 1-dimention.

Parameters:

  • narray (NArray::DComplex) —

    >=1-dimentional REAL NArray.

    NArray::DComplex(.., NX)
 NX = (2**IP) * (3**IQ) * (5**IR)
  • iopt (Numeric) —

    Transform direction.

    -1 FOR FORWARD TRANSFORM
+1 FOR INVERSE TRANSFORM

Returns:

  • (NArray::DComplex) —

    Result COMPLEX narray:

    NArray::DComplex(.., NX)

Raises:



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# File 'ffte.c', line 86

static VALUE
nary_ffte_zfft1d(int argc, VALUE *args, VALUE mod)
{
    ndfunc_t *func;
    narray_t *na;
    VALUE vres, vna, viopt=INT2NUM(1);
    int ndim;
    integer iopt=0;

    fft_opt_t *g;

    integer n1;

    rb_scan_args(argc, args, "11", &vna, &viopt);
    GetNArray(vna,na);
    ndim = NA_NDIM(na);
    if (ndim<1) {
        rb_raise(eRadixError,"ndim(=%d) should >= 1",ndim);
    }

    n1 = NA_SHAPE(na)[NA_NDIM(na)-1];
    if (!is235radix(n1)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",NA_NDIM(na)-1,n1);
    }


    func = ndfunc_alloc(iter_fft_zfft1d, NO_LOOP, 1, 0, cDComplex);
    func->args[0].dim = 1;

    vres = na_copy(vna);


    g = ALLOCA_N(fft_opt_t,1);
    g->b = ALLOC_N(dcomplex,n1*2);
    zfft1d_(NULL, &n1, &iopt, g->b);
    g->iopt = NUM2INT(viopt);
    ndloop_do3(func, g, 1, vres);
    xfree(g->b);


    ndfunc_free(func);

    return vres;
}

+ (NArray::DComplex) zfft2d(narray, [iopt])

2-dimentional COMPLEX FFT (Fast Fourier Transform) using Radix-2,3,4,5,8 FFT routine. Calculates on each last 2-dimention.

Parameters:

  • narray (NArray::DComplex) —

    >=2-dimentional REAL NArray.

    NArray::DComplex(.., NY, NX)
 NX = (2**IP) * (3**IQ) * (5**IR)
 NY = (2**JP) * (3**JQ) * (5**JR)
  • iopt (Numeric) —

    Transform direction.

    -1 FOR FORWARD TRANSFORM
+1 FOR INVERSE TRANSFORM

Returns:

  • (NArray::DComplex) —

    Result COMPLEX narray:

    NArray::DComplex(.., NY, NX)

Raises:



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# File 'ffte.c', line 175

static VALUE
nary_ffte_zfft2d(int argc, VALUE *args, VALUE mod)
{
    ndfunc_t *func;
    narray_t *na;
    VALUE vres, vna, viopt=INT2NUM(1);
    int ndim;
    integer iopt=0;

    integer n1,n2;

    rb_scan_args(argc, args, "11", &vna, &viopt);
    GetNArray(vna,na);
    ndim = NA_NDIM(na);
    if (ndim<2) {
        rb_raise(eRadixError,"ndim(=%d) should >= 2",ndim);
    }

    n1 = NA_SHAPE(na)[NA_NDIM(na)-1];
    if (!is235radix(n1)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",NA_NDIM(na)-1,n1);
    }

    n2 = NA_SHAPE(na)[NA_NDIM(na)-2];
    if (!is235radix(n2)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",NA_NDIM(na)-2,n2);
    }


    func = ndfunc_alloc(iter_fft_zfft2d, NO_LOOP, 1, 0, cDComplex);
    func->args[0].dim = 2;

    vres = na_copy(vna);


    zfft2d_(NULL,  &n1,&n2, &iopt);
    iopt = NUM2INT(viopt);
    ndloop_do3(func, &iopt, 1, vres);


    ndfunc_free(func);

    return vres;
}

+ (NArray::DComplex) zfft3d(narray, [iopt])

3-dimentional COMPLEX FFT (Fast Fourier Transform) using Radix-2,3,4,5,8 FFT routine. Calculates on each last 3-dimention.

Parameters:

  • narray (NArray::DComplex) —

    >=3-dimentional REAL NArray.

    NArray::DComplex(.., NZ, NY, NX)
 NX = (2**IP) * (3**IQ) * (5**IR)
 NY = (2**JP) * (3**JQ) * (5**JR)
 NZ = (2**KP) * (3**KQ) * (5**KR)
  • iopt (Numeric) —

    Transform direction.

    -1 FOR FORWARD TRANSFORM
+1 FOR INVERSE TRANSFORM

Returns:

  • (NArray::DComplex) —

    Result COMPLEX narray:

    NArray::DComplex(.., NZ, NY, NX)

Raises:



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# File 'ffte.c', line 267

static VALUE
nary_ffte_zfft3d(int argc, VALUE *args, VALUE mod)
{
    ndfunc_t *func;
    narray_t *na;
    VALUE vres, vna, viopt=INT2NUM(1);
    int ndim;
    integer iopt=0;

    integer n1,n2,n3;

    rb_scan_args(argc, args, "11", &vna, &viopt);
    GetNArray(vna,na);
    ndim = NA_NDIM(na);
    if (ndim<3) {
        rb_raise(eRadixError,"ndim(=%d) should >= 3",ndim);
    }

    n1 = NA_SHAPE(na)[NA_NDIM(na)-1];
    if (!is235radix(n1)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",NA_NDIM(na)-1,n1);
    }

    n2 = NA_SHAPE(na)[NA_NDIM(na)-2];
    if (!is235radix(n2)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",NA_NDIM(na)-2,n2);
    }

    n3 = NA_SHAPE(na)[NA_NDIM(na)-3];
    if (!is235radix(n3)) {
        rb_raise(eRadixError,"%d-th dim length(=%ld) is not 2,3,5-radix",NA_NDIM(na)-3,n3);
    }


    func = ndfunc_alloc(iter_fft_zfft3d, NO_LOOP, 1, 0, cDComplex);
    func->args[0].dim = 3;

    vres = na_copy(vna);


    zfft3d_(NULL,  &n1,&n2,&n3, &iopt);
    iopt = NUM2INT(viopt);
    ndloop_do3(func, &iopt, 1, vres);


    ndfunc_free(func);

    return vres;
}