Beispiel #1
0
/* forward transform with sign = -1 */
int
six_step_fnt(mpd_uint_t *a, mpd_size_t n, int modnum)
{
    struct fnt_params *tparams;
    mpd_size_t log2n, C, R;
    mpd_uint_t kernel;
    mpd_uint_t umod;
#ifdef PPRO
    double dmod;
    uint32_t dinvmod[3];
#endif
    mpd_uint_t *x, w0, w1, wstep;
    mpd_size_t i, k;


    assert(ispower2(n));
    assert(n >= 16);
    assert(n <= MPD_MAXTRANSFORM_2N);

    log2n = mpd_bsr(n);
    C = ((mpd_size_t)1) << (log2n / 2);  /* number of columns */
    R = ((mpd_size_t)1) << (log2n - (log2n / 2)); /* number of rows */


    /* Transpose the matrix. */
    if (!transpose_pow2(a, R, C)) {
        return 0;
    }

    /* Length R transform on the rows. */
    if ((tparams = _mpd_init_fnt_params(R, -1, modnum)) == NULL) {
        return 0;
    }
    for (x = a; x < a+n; x += R) {
        fnt_dif2(x, R, tparams);
    }

    /* Transpose the matrix. */
    if (!transpose_pow2(a, C, R)) {
        mpd_free(tparams);
        return 0;
    }

    /* Multiply each matrix element (addressed by i*C+k) by r**(i*k). */
    SETMODULUS(modnum);
    kernel = _mpd_getkernel(n, -1, modnum);
    for (i = 1; i < R; i++) {
        w0 = 1;                  /* r**(i*0): initial value for k=0 */
        w1 = POWMOD(kernel, i);  /* r**(i*1): initial value for k=1 */
        wstep = MULMOD(w1, w1);  /* r**(2*i) */
        for (k = 0; k < C; k += 2) {
            mpd_uint_t x0 = a[i*C+k];
            mpd_uint_t x1 = a[i*C+k+1];
            MULMOD2(&x0, w0, &x1, w1);
            MULMOD2C(&w0, &w1, wstep);  /* r**(i*(k+2)) = r**(i*k) * r**(2*i) */
            a[i*C+k] = x0;
            a[i*C+k+1] = x1;
        }
    }

    /* Length C transform on the rows. */
    if (C != R) {
        mpd_free(tparams);
        if ((tparams = _mpd_init_fnt_params(C, -1, modnum)) == NULL) {
            return 0;
        }
    }
    for (x = a; x < a+n; x += C) {
        fnt_dif2(x, C, tparams);
    }
    mpd_free(tparams);

#if 0
    /* An unordered transform is sufficient for convolution. */
    /* Transpose the matrix. */
    if (!transpose_pow2(a, R, C)) {
        return 0;
    }
#endif

    return 1;
}
Beispiel #2
-1
/* reverse transform, sign = 1 */
int
std_inv_fnt(mpd_uint_t *a, mpd_size_t n, int modnum)
{
    struct fnt_params *tparams;

    assert(ispower2(n));
    assert(n >= 4);
    assert(n <= 3*MPD_MAXTRANSFORM_2N);

    if ((tparams = _mpd_init_fnt_params(n, 1, modnum)) == NULL) {
        return 0;
    }
    fnt_dif2(a, n, tparams);

    mpd_free(tparams);
    return 1;
}