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📄 fft4g.c

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                a[k1] = xr;                a[k1 + 1] = xi;                j1 += m2;                k1 += m2;                xr = a[j1];                xi = -a[j1 + 1];                yr = a[k1];                yi = -a[k1 + 1];                a[j1] = yr;                a[j1 + 1] = yi;                a[k1] = xr;                a[k1 + 1] = xi;            }            k1 = 2 * k + ip[k];            a[k1 + 1] = -a[k1 + 1];            a[k1 + m2 + 1] = -a[k1 + m2 + 1];        }    }}void cftfsub(int n, float *a, float *w){    void cft1st(int n, float *a, float *w);    void cftmdl(int n, int l, float *a, float *w);    int j, j1, j2, j3, l;    float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;        l = 2;    if (n > 8) {        cft1st(n, a, w);        l = 8;        while ((l << 2) < n) {            cftmdl(n, l, a, w);            l <<= 2;        }    }    if ((l << 2) == n) {        for (j = 0; j < l; j += 2) {            j1 = j + l;            j2 = j1 + l;            j3 = j2 + l;            x0r = a[j] + a[j1];            x0i = a[j + 1] + a[j1 + 1];            x1r = a[j] - a[j1];            x1i = a[j + 1] - a[j1 + 1];            x2r = a[j2] + a[j3];            x2i = a[j2 + 1] + a[j3 + 1];            x3r = a[j2] - a[j3];            x3i = a[j2 + 1] - a[j3 + 1];            a[j] = x0r + x2r;            a[j + 1] = x0i + x2i;            a[j2] = x0r - x2r;            a[j2 + 1] = x0i - x2i;            a[j1] = x1r - x3i;            a[j1 + 1] = x1i + x3r;            a[j3] = x1r + x3i;            a[j3 + 1] = x1i - x3r;        }    } else {        for (j = 0; j < l; j += 2) {            j1 = j + l;            x0r = a[j] - a[j1];            x0i = a[j + 1] - a[j1 + 1];            a[j] += a[j1];            a[j + 1] += a[j1 + 1];            a[j1] = x0r;            a[j1 + 1] = x0i;        }    }}void cftbsub(int n, float *a, float *w){    void cft1st(int n, float *a, float *w);    void cftmdl(int n, int l, float *a, float *w);    int j, j1, j2, j3, l;    float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;        l = 2;    if (n > 8) {        cft1st(n, a, w);        l = 8;        while ((l << 2) < n) {            cftmdl(n, l, a, w);            l <<= 2;        }    }    if ((l << 2) == n) {        for (j = 0; j < l; j += 2) {            j1 = j + l;            j2 = j1 + l;            j3 = j2 + l;            x0r = a[j] + a[j1];            x0i = -a[j + 1] - a[j1 + 1];            x1r = a[j] - a[j1];            x1i = -a[j + 1] + a[j1 + 1];            x2r = a[j2] + a[j3];            x2i = a[j2 + 1] + a[j3 + 1];            x3r = a[j2] - a[j3];            x3i = a[j2 + 1] - a[j3 + 1];            a[j] = x0r + x2r;            a[j + 1] = x0i - x2i;            a[j2] = x0r - x2r;            a[j2 + 1] = x0i + x2i;            a[j1] = x1r - x3i;            a[j1 + 1] = x1i - x3r;            a[j3] = x1r + x3i;            a[j3 + 1] = x1i + x3r;        }    } else {        for (j = 0; j < l; j += 2) {            j1 = j + l;            x0r = a[j] - a[j1];            x0i = -a[j + 1] + a[j1 + 1];            a[j] += a[j1];            a[j + 1] = -a[j + 1] - a[j1 + 1];            a[j1] = x0r;            a[j1 + 1] = x0i;        }    }}void cft1st(int n, float *a, float *w){    int j, k1, k2;    float wk1r, wk1i, wk2r, wk2i, wk3r, wk3i;    float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;        x0r = a[0] + a[2];    x0i = a[1] + a[3];    x1r = a[0] - a[2];    x1i = a[1] - a[3];    x2r = a[4] + a[6];    x2i = a[5] + a[7];    x3r = a[4] - a[6];    x3i = a[5] - a[7];    a[0] = x0r + x2r;    a[1] = x0i + x2i;    a[4] = x0r - x2r;    a[5] = x0i - x2i;    a[2] = x1r - x3i;    a[3] = x1i + x3r;    a[6] = x1r + x3i;    a[7] = x1i - x3r;    wk1r = w[2];    x0r = a[8] + a[10];    x0i = a[9] + a[11];    x1r = a[8] - a[10];    x1i = a[9] - a[11];    x2r = a[12] + a[14];    x2i = a[13] + a[15];    x3r = a[12] - a[14];    x3i = a[13] - a[15];    a[8] = x0r + x2r;    a[9] = x0i + x2i;    a[12] = x2i - x0i;    a[13] = x0r - x2r;    x0r = x1r - x3i;    x0i = x1i + x3r;    a[10] = wk1r * (x0r - x0i);    a[11] = wk1r * (x0r + x0i);    x0r = x3i + x1r;    x0i = x3r - x1i;    a[14] = wk1r * (x0i - x0r);    a[15] = wk1r * (x0i + x0r);    k1 = 0;    for (j = 16; j < n; j += 16) {        k1 += 2;        k2 = 2 * k1;        wk2r = w[k1];        wk2i = w[k1 + 1];        wk1r = w[k2];        wk1i = w[k2 + 1];        wk3r = wk1r - 2 * wk2i * wk1i;        wk3i = 2 * wk2i * wk1r - wk1i;        x0r = a[j] + a[j + 2];        x0i = a[j + 1] + a[j + 3];        x1r = a[j] - a[j + 2];        x1i = a[j + 1] - a[j + 3];        x2r = a[j + 4] + a[j + 6];        x2i = a[j + 5] + a[j + 7];        x3r = a[j + 4] - a[j + 6];        x3i = a[j + 5] - a[j + 7];        a[j] = x0r + x2r;        a[j + 1] = x0i + x2i;        x0r -= x2r;        x0i -= x2i;        a[j + 4] = wk2r * x0r - wk2i * x0i;        a[j + 5] = wk2r * x0i + wk2i * x0r;        x0r = x1r - x3i;        x0i = x1i + x3r;        a[j + 2] = wk1r * x0r - wk1i * x0i;        a[j + 3] = wk1r * x0i + wk1i * x0r;        x0r = x1r + x3i;        x0i = x1i - x3r;        a[j + 6] = wk3r * x0r - wk3i * x0i;        a[j + 7] = wk3r * x0i + wk3i * x0r;        wk1r = w[k2 + 2];        wk1i = w[k2 + 3];        wk3r = wk1r - 2 * wk2r * wk1i;        wk3i = 2 * wk2r * wk1r - wk1i;        x0r = a[j + 8] + a[j + 10];        x0i = a[j + 9] + a[j + 11];        x1r = a[j + 8] - a[j + 10];        x1i = a[j + 9] - a[j + 11];        x2r = a[j + 12] + a[j + 14];        x2i = a[j + 13] + a[j + 15];        x3r = a[j + 12] - a[j + 14];        x3i = a[j + 13] - a[j + 15];        a[j + 8] = x0r + x2r;        a[j + 9] = x0i + x2i;        x0r -= x2r;        x0i -= x2i;        a[j + 12] = -wk2i * x0r - wk2r * x0i;        a[j + 13] = -wk2i * x0i + wk2r * x0r;        x0r = x1r - x3i;        x0i = x1i + x3r;        a[j + 10] = wk1r * x0r - wk1i * x0i;        a[j + 11] = wk1r * x0i + wk1i * x0r;        x0r = x1r + x3i;        x0i = x1i - x3r;        a[j + 14] = wk3r * x0r - wk3i * x0i;        a[j + 15] = wk3r * x0i + wk3i * x0r;    }}void cftmdl(int n, int l, float *a, float *w){    int j, j1, j2, j3, k, k1, k2, m, m2;    float wk1r, wk1i, wk2r, wk2i, wk3r, wk3i;    float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;        m = l << 2;    for (j = 0; j < l; j += 2) {        j1 = j + l;        j2 = j1 + l;        j3 = j2 + l;        x0r = a[j] + a[j1];        x0i = a[j + 1] + a[j1 + 1];        x1r = a[j] - a[j1];        x1i = a[j + 1] - a[j1 + 1];        x2r = a[j2] + a[j3];        x2i = a[j2 + 1] + a[j3 + 1];        x3r = a[j2] - a[j3];        x3i = a[j2 + 1] - a[j3 + 1];        a[j] = x0r + x2r;        a[j + 1] = x0i + x2i;        a[j2] = x0r - x2r;        a[j2 + 1] = x0i - x2i;        a[j1] = x1r - x3i;        a[j1 + 1] = x1i + x3r;        a[j3] = x1r + x3i;        a[j3 + 1] = x1i - x3r;    }    wk1r = w[2];    for (j = m; j < l + m; j += 2) {        j1 = j + l;        j2 = j1 + l;        j3 = j2 + l;        x0r = a[j] + a[j1];        x0i = a[j + 1] + a[j1 + 1];        x1r = a[j] - a[j1];        x1i = a[j + 1] - a[j1 + 1];        x2r = a[j2] + a[j3];        x2i = a[j2 + 1] + a[j3 + 1];        x3r = a[j2] - a[j3];        x3i = a[j2 + 1] - a[j3 + 1];        a[j] = x0r + x2r;        a[j + 1] = x0i + x2i;        a[j2] = x2i - x0i;        a[j2 + 1] = x0r - x2r;        x0r = x1r - x3i;        x0i = x1i + x3r;        a[j1] = wk1r * (x0r - x0i);        a[j1 + 1] = wk1r * (x0r + x0i);        x0r = x3i + x1r;        x0i = x3r - x1i;        a[j3] = wk1r * (x0i - x0r);        a[j3 + 1] = wk1r * (x0i + x0r);    }    k1 = 0;    m2 = 2 * m;    for (k = m2; k < n; k += m2) {        k1 += 2;        k2 = 2 * k1;        wk2r = w[k1];        wk2i = w[k1 + 1];        wk1r = w[k2];        wk1i = w[k2 + 1];        wk3r = wk1r - 2 * wk2i * wk1i;        wk3i = 2 * wk2i * wk1r - wk1i;        for (j = k; j < l + k; j += 2) {            j1 = j + l;            j2 = j1 + l;            j3 = j2 + l;            x0r = a[j] + a[j1];            x0i = a[j + 1] + a[j1 + 1];            x1r = a[j] - a[j1];            x1i = a[j + 1] - a[j1 + 1];            x2r = a[j2] + a[j3];            x2i = a[j2 + 1] + a[j3 + 1];            x3r = a[j2] - a[j3];            x3i = a[j2 + 1] - a[j3 + 1];            a[j] = x0r + x2r;            a[j + 1] = x0i + x2i;            x0r -= x2r;            x0i -= x2i;            a[j2] = wk2r * x0r - wk2i * x0i;            a[j2 + 1] = wk2r * x0i + wk2i * x0r;            x0r = x1r - x3i;            x0i = x1i + x3r;            a[j1] = wk1r * x0r - wk1i * x0i;            a[j1 + 1] = wk1r * x0i + wk1i * x0r;            x0r = x1r + x3i;            x0i = x1i - x3r;            a[j3] = wk3r * x0r - wk3i * x0i;            a[j3 + 1] = wk3r * x0i + wk3i * x0r;        }        wk1r = w[k2 + 2];        wk1i = w[k2 + 3];        wk3r = wk1r - 2 * wk2r * wk1i;        wk3i = 2 * wk2r * wk1r - wk1i;        for (j = k + m; j < l + (k + m); j += 2) {            j1 = j + l;            j2 = j1 + l;            j3 = j2 + l;            x0r = a[j] + a[j1];            x0i = a[j + 1] + a[j1 + 1];            x1r = a[j] - a[j1];            x1i = a[j + 1] - a[j1 + 1];            x2r = a[j2] + a[j3];            x2i = a[j2 + 1] + a[j3 + 1];            x3r = a[j2] - a[j3];            x3i = a[j2 + 1] - a[j3 + 1];            a[j] = x0r + x2r;            a[j + 1] = x0i + x2i;            x0r -= x2r;            x0i -= x2i;            a[j2] = -wk2i * x0r - wk2r * x0i;            a[j2 + 1] = -wk2i * x0i + wk2r * x0r;            x0r = x1r - x3i;            x0i = x1i + x3r;            a[j1] = wk1r * x0r - wk1i * x0i;            a[j1 + 1] = wk1r * x0i + wk1i * x0r;            x0r = x1r + x3i;            x0i = x1i - x3r;            a[j3] = wk3r * x0r - wk3i * x0i;            a[j3 + 1] = wk3r * x0i + wk3i * x0r;        }    }}void rftfsub(int n, float *a, int nc, float *c){    int j, k, kk, ks, m;    float wkr, wki, xr, xi, yr, yi;        m = n >> 1;    ks = 2 * nc / m;    kk = 0;    for (j = 2; j < m; j += 2) {        k = n - j;        kk += ks;        wkr = 0.5 - c[nc - kk];        wki = c[kk];        xr = a[j] - a[k];        xi = a[j + 1] + a[k + 1];        yr = wkr * xr - wki * xi;        yi = wkr * xi + wki * xr;        a[j] -= yr;        a[j + 1] -= yi;        a[k] += yr;        a[k + 1] -= yi;    }}void rftbsub(int n, float *a, int nc, float *c){    int j, k, kk, ks, m;    float wkr, wki, xr, xi, yr, yi;        a[1] = -a[1];    m = n >> 1;    ks = 2 * nc / m;    kk = 0;    for (j = 2; j < m; j += 2) {        k = n - j;        kk += ks;        wkr = 0.5 - c[nc - kk];        wki = c[kk];        xr = a[j] - a[k];        xi = a[j + 1] + a[k + 1];        yr = wkr * xr + wki * xi;        yi = wkr * xi - wki * xr;        a[j] -= yr;        a[j + 1] = yi - a[j + 1];        a[k] += yr;        a[k + 1] = yi - a[k + 1];    }    a[m + 1] = -a[m + 1];}void dctsub(int n, float *a, int nc, float *c){    int j, k, kk, ks, m;    float wkr, wki, xr;        m = n >> 1;    ks = nc / n;    kk = 0;    for (j = 1; j < m; j++) {        k = n - j;        kk += ks;        wkr = c[kk] - c[nc - kk];        wki = c[kk] + c[nc - kk];        xr = wki * a[j] - wkr * a[k];        a[j] = wkr * a[j] + wki * a[k];        a[k] = xr;    }    a[m] *= c[0];}void dstsub(int n, float *a, int nc, float *c){    int j, k, kk, ks, m;    float wkr, wki, xr;        m = n >> 1;    ks = nc / n;    kk = 0;    for (j = 1; j < m; j++) {        k = n - j;        kk += ks;        wkr = c[kk] - c[nc - kk];        wki = c[kk] + c[nc - kk];        xr = wki * a[k] - wkr * a[j];        a[k] = wkr * a[k] + wki * a[j];        a[j] = xr;    }    a[m] *= c[0];}

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