/* ***** BEGIN LICENSE BLOCK *****
* Version: MPL 1.1/GPL 2.0/LGPL 2.1
*
* The contents of this file are subject to the Mozilla Public License Version
* 1.1 (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
* http://www.mozilla.org/MPL/
*
* Software distributed under the License is distributed on an "AS IS" basis,
* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
* for the specific language governing rights and limitations under the
* License.
*
* The Original Code is JTransforms.
*
* The Initial Developer of the Original Code is
* Piotr Wendykier, Emory University.
* Portions created by the Initial Developer are Copyright (C) 2007-2009
* the Initial Developer. All Rights Reserved.
*
* Alternatively, the contents of this file may be used under the terms of
* either the GNU General Public License Version 2 or later (the "GPL"), or
* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
* in which case the provisions of the GPL or the LGPL are applicable instead
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* decision by deleting the provisions above and replace them with the notice
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* the provisions above, a recipient may use your version of this file under
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*
* ***** END LICENSE BLOCK ***** */
package edu.emory.mathcs.jtransforms.dct;
import java.util.concurrent.Future;
import edu.emory.mathcs.jtransforms.fft.DoubleFFT_1D;
import edu.emory.mathcs.utils.ConcurrencyUtils;
/**
* Computes 1D Discrete Cosine Transform (DCT) of double precision data. The
* size of data can be an arbitrary number. This is a parallel implementation of
* split-radix and mixed-radix algorithms optimized for SMP systems.
*
* Part of the code is derived from General Purpose FFT Package written by Takuya Ooura
* (http://www.kurims.kyoto-u.ac.jp/~ooura/fft.html)
*
* @author Piotr Wendykier (piotr.wendykier@gmail.com)
*
*/
public class DoubleDCT_1D {
private int n;
private int[] ip;
private double[] w;
private int nw;
private int nc;
private boolean isPowerOfTwo = false;
private DoubleFFT_1D fft;
private static final double PI = 3.14159265358979311599796346854418516;
/**
* Creates new instance of DoubleDCT_1D.
*
* @param n
* size of data
*/
public DoubleDCT_1D(int n) {
if (n < 1) {
throw new IllegalArgumentException("n must be greater than 0");
}
this.n = n;
if (ConcurrencyUtils.isPowerOf2(n)) {
this.isPowerOfTwo = true;
this.ip = new int[(int) Math.ceil(2 + (1 << (int) (Math.log(n / 2 + 0.5) / Math.log(2)) / 2))];
this.w = new double[n * 5 / 4];
nw = ip[0];
if (n > (nw << 2)) {
nw = n >> 2;
makewt(nw);
}
nc = ip[1];
if (n > nc) {
nc = n;
makect(nc, w, nw);
}
} else {
this.w = makect(n);
fft = new DoubleFFT_1D(2 * n);
}
}
/**
* Computes 1D forward DCT (DCT-II) leaving the result in a.
*
* @param a
* data to transform
* @param scale
* if true then scaling is performed
*/
public void forward(double[] a, boolean scale) {
forward(a, 0, scale);
}
/**
* Computes 1D forward DCT (DCT-II) leaving the result in a.
*
* @param a
* data to transform
* @param offa
* index of the first element in array a
* @param scale
* if true then scaling is performed
*/
public void forward(final double[] a, final int offa, boolean scale) {
if (n == 1)
return;
if (isPowerOfTwo) {
double xr = a[offa + n - 1];
for (int j = n - 2; j >= 2; j -= 2) {
a[offa + j + 1] = a[offa + j] - a[offa + j - 1];
a[offa + j] += a[offa + j - 1];
}
a[offa + 1] = a[offa] - xr;
a[offa] += xr;
if (n > 4) {
rftbsub(n, a, offa, nc, w, nw);
cftbsub(n, a, offa, ip, nw, w);
} else if (n == 4) {
cftbsub(n, a, offa, ip, nw, w);
}
dctsub(n, a, offa, nc, w, nw);
if (scale) {
scale(Math.sqrt(2.0 / n), a, offa);
a[offa] = a[offa] / Math.sqrt(2.0);
}
} else {
final int twon = 2 * n;
final double[] t = new double[twon];
System.arraycopy(a, offa, t, 0, n);
int nthreads = ConcurrencyUtils.getNumberOfThreads();
for (int i = n; i < twon; i++) {
t[i] = t[twon - i - 1];
}
fft.realForward(t);
if ((nthreads > 1) && (n > ConcurrencyUtils.getThreadsBeginN_1D_FFT_2Threads())) {
nthreads = 2;
final int k = n / nthreads;
Future[] futures = new Future[nthreads];
for (int j = 0; j < nthreads; j++) {
final int firstIdx = j * k;
final int lastIdx = (j == (nthreads - 1)) ? n : firstIdx + k;
futures[j] = ConcurrencyUtils.submit(new Runnable() {
public void run() {
for (int i = firstIdx; i < lastIdx; i++) {
int twoi = 2 * i;
int idx = offa + i;
a[idx] = w[twoi] * t[twoi] - w[twoi + 1] * t[twoi + 1];
}
}
});
}
ConcurrencyUtils.waitForCompletion(futures);
} else {
for (int i = 0; i < n; i++) {
int twoi = 2 * i;
int idx = offa + i;
a[idx] = w[twoi] * t[twoi] - w[twoi + 1] * t[twoi + 1];
}
}
if (scale) {
scale(1 / Math.sqrt(twon), a, offa);
a[offa] = a[offa] / Math.sqrt(2.0);
}
}
}
/**
* Computes 1D inverse DCT (DCT-III) leaving the result in a.
*
* @param a
* data to transform
* @param scale
* if true then scaling is performed
*/
public void inverse(double[] a, boolean scale) {
inverse(a, 0, scale);
}
/**
* Computes 1D inverse DCT (DCT-III) leaving the result in a.
*
* @param a
* data to transform
* @param offa
* index of the first element in array a
* @param scale
* if true then scaling is performed
*/
public void inverse(final double[] a, final int offa, boolean scale) {
if (n == 1)
return;
if (isPowerOfTwo) {
double xr;
if (scale) {
scale(Math.sqrt(2.0 / n), a, offa);
a[offa] = a[offa] / Math.sqrt(2.0);
}
dctsub(n, a, offa, nc, w, nw);
if (n > 4) {
cftfsub(n, a, offa, ip, nw, w);
rftfsub(n, a, offa, nc, w, nw);
} else if (n == 4) {
cftfsub(n, a, offa, ip, nw, w);
}
xr = a[offa] - a[offa + 1];
a[offa] += a[offa + 1];
for (int j = 2; j < n; j += 2) {
a[offa + j - 1] = a[offa + j] - a[offa + j + 1];
a[offa + j] += a[offa + j + 1];
}
a[offa + n - 1] = xr;
} else {
final int twon = 2 * n;
if (scale) {
scale(Math.sqrt(twon), a, offa);
a[offa] = a[offa] * Math.sqrt(2.0);
}
final double[] t = new double[twon];
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if ((nthreads > 1) && (n > ConcurrencyUtils.getThreadsBeginN_1D_FFT_2Threads())) {
nthreads = 2;
final int k = n / nthreads;
Future[] futures = new Future[nthreads];
for (int j = 0; j < nthreads; j++) {
final int firstIdx = j * k;
final int lastIdx = (j == (nthreads - 1)) ? n : firstIdx + k;
futures[j] = ConcurrencyUtils.submit(new Runnable() {
public void run() {
for (int i = firstIdx; i < lastIdx; i++) {
int twoi = 2 * i;
double elem = a[offa + i];
t[twoi] = w[twoi] * elem;
t[twoi + 1] = -w[twoi + 1] * elem;
}
}
});
}
ConcurrencyUtils.waitForCompletion(futures);
} else {
for (int i = 0; i < n; i++) {
int twoi = 2 * i;
double elem = a[offa + i];
t[twoi] = w[twoi] * elem;
t[twoi + 1] = -w[twoi + 1] * elem;
}
}
fft.realInverse(t, true);
System.arraycopy(t, 0, a, offa, n);
}
}
/* -------- initializing routines -------- */
private double[] makect(int n) {
int twon = 2 * n;
int idx;
double delta = PI / twon;
double deltaj;
double[] c = new double[twon];
c[0] = 1;
for (int j = 1; j < n; j++) {
idx = 2 * j;
deltaj = delta * j;
c[idx] = Math.cos(deltaj);
c[idx + 1] = -Math.sin(deltaj);
}
return c;
}
private void makewt(int nw) {
int j, nwh, nw0, nw1;
double delta, wn4r, wk1r, wk1i, wk3r, wk3i;
double delta2, deltaj, deltaj3;
ip[0] = nw;
ip[1] = 1;
if (nw > 2) {
nwh = nw >> 1;
delta = 0.785398163397448278999490867136046290 / nwh;
delta2 = delta * 2;
wn4r = Math.cos(delta * nwh);
w[0] = 1;
w[1] = wn4r;
if (nwh == 4) {
w[2] = Math.cos(delta2);
w[3] = Math.sin(delta2);
} else if (nwh > 4) {
makeipt(nw);
w[2] = 0.5 / Math.cos(delta2);
w[3] = 0.5 / Math.cos(delta * 6);
for (j = 4; j < nwh; j += 4) {
deltaj = delta * j;
deltaj3 = 3 * deltaj;
w[j] = Math.cos(deltaj);
w[j + 1] = Math.sin(deltaj);
w[j + 2] = Math.cos(deltaj3);
w[j + 3] = -Math.sin(deltaj3);
}
}
nw0 = 0;
while (nwh > 2) {
nw1 = nw0 + nwh;
nwh >>= 1;
w[nw1] = 1;
w[nw1 + 1] = wn4r;
if (nwh == 4) {
wk1r = w[nw0 + 4];
wk1i = w[nw0 + 5];
w[nw1 + 2] = wk1r;
w[nw1 + 3] = wk1i;
} else if (nwh > 4) {
wk1r = w[nw0 + 4];
wk3r = w[nw0 + 6];
w[nw1 + 2] = 0.5 / wk1r;
w[nw1 + 3] = 0.5 / wk3r;
for (j = 4; j < nwh; j += 4) {
int idx1 = nw0 + 2 * j;
int idx2 = nw1 + j;
wk1r = w[idx1];
wk1i = w[idx1 + 1];
wk3r = w[idx1 + 2];
wk3i = w[idx1 + 3];
w[idx2] = wk1r;
w[idx2 + 1] = wk1i;
w[idx2 + 2] = wk3r;
w[idx2 + 3] = wk3i;
}
}
nw0 = nw1;
}
}
}
private void makeipt(int nw) {
int j, l, m, m2, p, q;
ip[2] = 0;
ip[3] = 16;
m = 2;
for (l = nw; l > 32; l >>= 2) {
m2 = m << 1;
q = m2 << 3;
for (j = m; j < m2; j++) {
p = ip[j] << 2;
ip[m + j] = p;
ip[m2 + j] = p + q;
}
m = m2;
}
}
private void makect(int nc, double[] c, int startc) {
int j, nch;
double delta, deltaj;
ip[1] = nc;
if (nc > 1) {
nch = nc >> 1;
delta = 0.785398163397448278999490867136046290 / nch;
c[startc] = Math.cos(delta * nch);
c[startc + nch] = 0.5 * c[startc];
for (j = 1; j < nch; j++) {
deltaj = delta * j;
c[startc + j] = 0.5 * Math.cos(deltaj);
c[startc + nc - j] = 0.5 * Math.sin(deltaj);
}
}
}
private void cftfsub(int n, double[] a, int offa, int[] ip, int nw, double[] w) {
if (n > 8) {
if (n > 32) {
cftf1st(n, a, offa, w, nw - (n >> 2));
if ((ConcurrencyUtils.getNumberOfThreads() > 1) && (n > ConcurrencyUtils.getThreadsBeginN_1D_FFT_2Threads())) {
cftrec4_th(n, a, offa, nw, w);
} else if (n > 512) {
cftrec4(n, a, offa, nw, w);
} else if (n > 128) {
cftleaf(n, 1, a, offa, nw, w);
} else {
cftfx41(n, a, offa, nw, w);
}
bitrv2(n, ip, a, offa);
} else if (n == 32) {
cftf161(a, offa, w, nw - 8);
bitrv216(a, offa);
} else {
cftf081(a, offa, w, 0);
bitrv208(a, offa);
}
} else if (n == 8) {
cftf040(a, offa);
} else if (n == 4) {
cftx020(a, offa);
}
}
private void cftbsub(int n, double[] a, int offa, int[] ip, int nw, double[] w) {
if (n > 8) {
if (n > 32) {
cftb1st(n, a, offa, w, nw - (n >> 2));
if ((ConcurrencyUtils.getNumberOfThreads() > 1) && (n > ConcurrencyUtils.getThreadsBeginN_1D_FFT_2Threads())) {
cftrec4_th(n, a, offa, nw, w);
} else if (n > 512) {
cftrec4(n, a, offa, nw, w);
} else if (n > 128) {
cftleaf(n, 1, a, offa, nw, w);
} else {
cftfx41(n, a, offa, nw, w);
}
bitrv2conj(n, ip, a, offa);
} else if (n == 32) {
cftf161(a, offa, w, nw - 8);
bitrv216neg(a, offa);
} else {
cftf081(a, offa, w, 0);
bitrv208neg(a, offa);
}
} else if (n == 8) {
cftb040(a, offa);
} else if (n == 4) {
cftx020(a, offa);
}
}
private void bitrv2(int n, int[] ip, double[] a, int offa) {
int j1, k1, l, m, nh, nm;
double xr, xi, yr, yi;
int idx1, idx2;
m = 1;
for (l = n >> 2; l > 8; l >>= 2) {
m <<= 1;
}
nh = n >> 1;
nm = 4 * m;
if (l == 8) {
for (int k = 0; k < m; k++) {
for (int j = 0; j < k; j++) {
j1 = 4 * j + 2 * ip[m + k];
k1 = 4 * k + 2 * ip[m + j];
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nh;
k1 += 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nh;
k1 -= 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
}
k1 = 4 * k + 2 * ip[m + k];
j1 = k1 + 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= 2;
k1 -= nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nh + 2;
k1 += nh + 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nh - nm;
k1 += 2 * nm - 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
}
} else {
for (int k = 0; k < m; k++) {
for (int j = 0; j < k; j++) {
j1 = 4 * j + ip[m + k];
k1 = 4 * k + ip[m + j];
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nh;
k1 += 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nh;
k1 -= 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
}
k1 = 4 * k + ip[m + k];
j1 = k1 + 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = a[idx1 + 1];
yr = a[idx2];
yi = a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
}
}
}
private void bitrv2conj(int n, int[] ip, double[] a, int offa) {
int j1, k1, l, m, nh, nm;
double xr, xi, yr, yi;
int idx1, idx2;
m = 1;
for (l = n >> 2; l > 8; l >>= 2) {
m <<= 1;
}
nh = n >> 1;
nm = 4 * m;
if (l == 8) {
for (int k = 0; k < m; k++) {
for (int j = 0; j < k; j++) {
j1 = 4 * j + 2 * ip[m + k];
k1 = 4 * k + 2 * ip[m + j];
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nh;
k1 += 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nh;
k1 -= 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
}
k1 = 4 * k + 2 * ip[m + k];
j1 = k1 + 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
a[idx1 - 1] = -a[idx1 - 1];
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
a[idx2 + 3] = -a[idx2 + 3];
j1 += nm;
k1 += 2 * nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= 2;
k1 -= nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nh + 2;
k1 += nh + 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nh - nm;
k1 += 2 * nm - 2;
idx1 = offa + j1;
idx2 = offa + k1;
a[idx1 - 1] = -a[idx1 - 1];
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
a[idx2 + 3] = -a[idx2 + 3];
}
} else {
for (int k = 0; k < m; k++) {
for (int j = 0; j < k; j++) {
j1 = 4 * j + ip[m + k];
k1 = 4 * k + ip[m + j];
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nh;
k1 += 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 += nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nh;
k1 -= 2;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
j1 -= nm;
k1 -= nm;
idx1 = offa + j1;
idx2 = offa + k1;
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
}
k1 = 4 * k + ip[m + k];
j1 = k1 + 2;
k1 += nh;
idx1 = offa + j1;
idx2 = offa + k1;
a[idx1 - 1] = -a[idx1 - 1];
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
a[idx2 + 3] = -a[idx2 + 3];
j1 += nm;
k1 += nm;
idx1 = offa + j1;
idx2 = offa + k1;
a[idx1 - 1] = -a[idx1 - 1];
xr = a[idx1];
xi = -a[idx1 + 1];
yr = a[idx2];
yi = -a[idx2 + 1];
a[idx1] = yr;
a[idx1 + 1] = yi;
a[idx2] = xr;
a[idx2 + 1] = xi;
a[idx2 + 3] = -a[idx2 + 3];
}
}
}
private void bitrv216(double[] a, int offa) {
double x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i, x5r, x5i, x7r, x7i, x8r, x8i, x10r, x10i, x11r, x11i, x12r, x12i, x13r, x13i, x14r, x14i;
x1r = a[offa + 2];
x1i = a[offa + 3];
x2r = a[offa + 4];
x2i = a[offa + 5];
x3r = a[offa + 6];
x3i = a[offa + 7];
x4r = a[offa + 8];
x4i = a[offa + 9];
x5r = a[offa + 10];
x5i = a[offa + 11];
x7r = a[offa + 14];
x7i = a[offa + 15];
x8r = a[offa + 16];
x8i = a[offa + 17];
x10r = a[offa + 20];
x10i = a[offa + 21];
x11r = a[offa + 22];
x11i = a[offa + 23];
x12r = a[offa + 24];
x12i = a[offa + 25];
x13r = a[offa + 26];
x13i = a[offa + 27];
x14r = a[offa + 28];
x14i = a[offa + 29];
a[offa + 2] = x8r;
a[offa + 3] = x8i;
a[offa + 4] = x4r;
a[offa + 5] = x4i;
a[offa + 6] = x12r;
a[offa + 7] = x12i;
a[offa + 8] = x2r;
a[offa + 9] = x2i;
a[offa + 10] = x10r;
a[offa + 11] = x10i;
a[offa + 14] = x14r;
a[offa + 15] = x14i;
a[offa + 16] = x1r;
a[offa + 17] = x1i;
a[offa + 20] = x5r;
a[offa + 21] = x5i;
a[offa + 22] = x13r;
a[offa + 23] = x13i;
a[offa + 24] = x3r;
a[offa + 25] = x3i;
a[offa + 26] = x11r;
a[offa + 27] = x11i;
a[offa + 28] = x7r;
a[offa + 29] = x7i;
}
private void bitrv216neg(double[] a, int offa) {
double x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i, x5r, x5i, x6r, x6i, x7r, x7i, x8r, x8i, x9r, x9i, x10r, x10i, x11r, x11i, x12r, x12i, x13r, x13i, x14r, x14i, x15r, x15i;
x1r = a[offa + 2];
x1i = a[offa + 3];
x2r = a[offa + 4];
x2i = a[offa + 5];
x3r = a[offa + 6];
x3i = a[offa + 7];
x4r = a[offa + 8];
x4i = a[offa + 9];
x5r = a[offa + 10];
x5i = a[offa + 11];
x6r = a[offa + 12];
x6i = a[offa + 13];
x7r = a[offa + 14];
x7i = a[offa + 15];
x8r = a[offa + 16];
x8i = a[offa + 17];
x9r = a[offa + 18];
x9i = a[offa + 19];
x10r = a[offa + 20];
x10i = a[offa + 21];
x11r = a[offa + 22];
x11i = a[offa + 23];
x12r = a[offa + 24];
x12i = a[offa + 25];
x13r = a[offa + 26];
x13i = a[offa + 27];
x14r = a[offa + 28];
x14i = a[offa + 29];
x15r = a[offa + 30];
x15i = a[offa + 31];
a[offa + 2] = x15r;
a[offa + 3] = x15i;
a[offa + 4] = x7r;
a[offa + 5] = x7i;
a[offa + 6] = x11r;
a[offa + 7] = x11i;
a[offa + 8] = x3r;
a[offa + 9] = x3i;
a[offa + 10] = x13r;
a[offa + 11] = x13i;
a[offa + 12] = x5r;
a[offa + 13] = x5i;
a[offa + 14] = x9r;
a[offa + 15] = x9i;
a[offa + 16] = x1r;
a[offa + 17] = x1i;
a[offa + 18] = x14r;
a[offa + 19] = x14i;
a[offa + 20] = x6r;
a[offa + 21] = x6i;
a[offa + 22] = x10r;
a[offa + 23] = x10i;
a[offa + 24] = x2r;
a[offa + 25] = x2i;
a[offa + 26] = x12r;
a[offa + 27] = x12i;
a[offa + 28] = x4r;
a[offa + 29] = x4i;
a[offa + 30] = x8r;
a[offa + 31] = x8i;
}
private void bitrv208(double[] a, int offa) {
double x1r, x1i, x3r, x3i, x4r, x4i, x6r, x6i;
x1r = a[offa + 2];
x1i = a[offa + 3];
x3r = a[offa + 6];
x3i = a[offa + 7];
x4r = a[offa + 8];
x4i = a[offa + 9];
x6r = a[offa + 12];
x6i = a[offa + 13];
a[offa + 2] = x4r;
a[offa + 3] = x4i;
a[offa + 6] = x6r;
a[offa + 7] = x6i;
a[offa + 8] = x1r;
a[offa + 9] = x1i;
a[offa + 12] = x3r;
a[offa + 13] = x3i;
}
private void bitrv208neg(double[] a, int offa) {
double x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i, x5r, x5i, x6r, x6i, x7r, x7i;
x1r = a[offa + 2];
x1i = a[offa + 3];
x2r = a[offa + 4];
x2i = a[offa + 5];
x3r = a[offa + 6];
x3i = a[offa + 7];
x4r = a[offa + 8];
x4i = a[offa + 9];
x5r = a[offa + 10];
x5i = a[offa + 11];
x6r = a[offa + 12];
x6i = a[offa + 13];
x7r = a[offa + 14];
x7i = a[offa + 15];
a[offa + 2] = x7r;
a[offa + 3] = x7i;
a[offa + 4] = x3r;
a[offa + 5] = x3i;
a[offa + 6] = x5r;
a[offa + 7] = x5i;
a[offa + 8] = x1r;
a[offa + 9] = x1i;
a[offa + 10] = x6r;
a[offa + 11] = x6i;
a[offa + 12] = x2r;
a[offa + 13] = x2i;
a[offa + 14] = x4r;
a[offa + 15] = x4i;
}
private void cftf1st(int n, double[] a, int offa, double[] w, int startw) {
int j0, j1, j2, j3, k, m, mh;
double wn4r, csc1, csc3, wk1r, wk1i, wk3r, wk3i, wd1r, wd1i, wd3r, wd3i;
double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i;
int idx0, idx1, idx2, idx3, idx4, idx5;
mh = n >> 3;
m = 2 * mh;
j1 = m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[offa] + a[idx2];
x0i = a[offa + 1] + a[idx2 + 1];
x1r = a[offa] - a[idx2];
x1i = a[offa + 1] - a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[offa] = x0r + x2r;
a[offa + 1] = x0i + x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
a[idx2] = x1r - x3i;
a[idx2 + 1] = x1i + x3r;
a[idx3] = x1r + x3i;
a[idx3 + 1] = x1i - x3r;
wn4r = w[startw + 1];
csc1 = w[startw + 2];
csc3 = w[startw + 3];
wd1r = 1;
wd1i = 0;
wd3r = 1;
wd3i = 0;
k = 0;
for (int j = 2; j < mh - 2; j += 4) {
k += 4;
idx4 = startw + k;
wk1r = csc1 * (wd1r + w[idx4]);
wk1i = csc1 * (wd1i + w[idx4 + 1]);
wk3r = csc3 * (wd3r + w[idx4 + 2]);
wk3i = csc3 * (wd3i + w[idx4 + 3]);
wd1r = w[idx4];
wd1i = w[idx4 + 1];
wd3r = w[idx4 + 2];
wd3i = w[idx4 + 3];
j1 = j + m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
idx5 = offa + j;
x0r = a[idx5] + a[idx2];
x0i = a[idx5 + 1] + a[idx2 + 1];
x1r = a[idx5] - a[idx2];
x1i = a[idx5 + 1] - a[idx2 + 1];
y0r = a[idx5 + 2] + a[idx2 + 2];
y0i = a[idx5 + 3] + a[idx2 + 3];
y1r = a[idx5 + 2] - a[idx2 + 2];
y1i = a[idx5 + 3] - a[idx2 + 3];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
y2r = a[idx1 + 2] + a[idx3 + 2];
y2i = a[idx1 + 3] + a[idx3 + 3];
y3r = a[idx1 + 2] - a[idx3 + 2];
y3i = a[idx1 + 3] - a[idx3 + 3];
a[idx5] = x0r + x2r;
a[idx5 + 1] = x0i + x2i;
a[idx5 + 2] = y0r + y2r;
a[idx5 + 3] = y0i + y2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
a[idx1 + 2] = y0r - y2r;
a[idx1 + 3] = y0i - y2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2] = wk1r * x0r - wk1i * x0i;
a[idx2 + 1] = wk1r * x0i + wk1i * x0r;
x0r = y1r - y3i;
x0i = y1i + y3r;
a[idx2 + 2] = wd1r * x0r - wd1i * x0i;
a[idx2 + 3] = wd1r * x0i + wd1i * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3] = wk3r * x0r + wk3i * x0i;
a[idx3 + 1] = wk3r * x0i - wk3i * x0r;
x0r = y1r + y3i;
x0i = y1i - y3r;
a[idx3 + 2] = wd3r * x0r + wd3i * x0i;
a[idx3 + 3] = wd3r * x0i - wd3i * x0r;
j0 = m - j;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0] + a[idx2];
x0i = a[idx0 + 1] + a[idx2 + 1];
x1r = a[idx0] - a[idx2];
x1i = a[idx0 + 1] - a[idx2 + 1];
y0r = a[idx0 - 2] + a[idx2 - 2];
y0i = a[idx0 - 1] + a[idx2 - 1];
y1r = a[idx0 - 2] - a[idx2 - 2];
y1i = a[idx0 - 1] - a[idx2 - 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
y2r = a[idx1 - 2] + a[idx3 - 2];
y2i = a[idx1 - 1] + a[idx3 - 1];
y3r = a[idx1 - 2] - a[idx3 - 2];
y3i = a[idx1 - 1] - a[idx3 - 1];
a[idx0] = x0r + x2r;
a[idx0 + 1] = x0i + x2i;
a[idx0 - 2] = y0r + y2r;
a[idx0 - 1] = y0i + y2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
a[idx1 - 2] = y0r - y2r;
a[idx1 - 1] = y0i - y2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2] = wk1i * x0r - wk1r * x0i;
a[idx2 + 1] = wk1i * x0i + wk1r * x0r;
x0r = y1r - y3i;
x0i = y1i + y3r;
a[idx2 - 2] = wd1i * x0r - wd1r * x0i;
a[idx2 - 1] = wd1i * x0i + wd1r * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3] = wk3i * x0r + wk3r * x0i;
a[idx3 + 1] = wk3i * x0i - wk3r * x0r;
x0r = y1r + y3i;
x0i = y1i - y3r;
a[offa + j3 - 2] = wd3i * x0r + wd3r * x0i;
a[offa + j3 - 1] = wd3i * x0i - wd3r * x0r;
}
wk1r = csc1 * (wd1r + wn4r);
wk1i = csc1 * (wd1i + wn4r);
wk3r = csc3 * (wd3r - wn4r);
wk3i = csc3 * (wd3i - wn4r);
j0 = mh;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0 - 2] + a[idx2 - 2];
x0i = a[idx0 - 1] + a[idx2 - 1];
x1r = a[idx0 - 2] - a[idx2 - 2];
x1i = a[idx0 - 1] - a[idx2 - 1];
x2r = a[idx1 - 2] + a[idx3 - 2];
x2i = a[idx1 - 1] + a[idx3 - 1];
x3r = a[idx1 - 2] - a[idx3 - 2];
x3i = a[idx1 - 1] - a[idx3 - 1];
a[idx0 - 2] = x0r + x2r;
a[idx0 - 1] = x0i + x2i;
a[idx1 - 2] = x0r - x2r;
a[idx1 - 1] = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2 - 2] = wk1r * x0r - wk1i * x0i;
a[idx2 - 1] = wk1r * x0i + wk1i * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3 - 2] = wk3r * x0r + wk3i * x0i;
a[idx3 - 1] = wk3r * x0i - wk3i * x0r;
x0r = a[idx0] + a[idx2];
x0i = a[idx0 + 1] + a[idx2 + 1];
x1r = a[idx0] - a[idx2];
x1i = a[idx0 + 1] - a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[idx0] = x0r + x2r;
a[idx0 + 1] = x0i + x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2] = wn4r * (x0r - x0i);
a[idx2 + 1] = wn4r * (x0i + x0r);
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3] = -wn4r * (x0r + x0i);
a[idx3 + 1] = -wn4r * (x0i - x0r);
x0r = a[idx0 + 2] + a[idx2 + 2];
x0i = a[idx0 + 3] + a[idx2 + 3];
x1r = a[idx0 + 2] - a[idx2 + 2];
x1i = a[idx0 + 3] - a[idx2 + 3];
x2r = a[idx1 + 2] + a[idx3 + 2];
x2i = a[idx1 + 3] + a[idx3 + 3];
x3r = a[idx1 + 2] - a[idx3 + 2];
x3i = a[idx1 + 3] - a[idx3 + 3];
a[idx0 + 2] = x0r + x2r;
a[idx0 + 3] = x0i + x2i;
a[idx1 + 2] = x0r - x2r;
a[idx1 + 3] = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2 + 2] = wk1i * x0r - wk1r * x0i;
a[idx2 + 3] = wk1i * x0i + wk1r * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3 + 2] = wk3i * x0r + wk3r * x0i;
a[idx3 + 3] = wk3i * x0i - wk3r * x0r;
}
private void cftb1st(int n, double[] a, int offa, double[] w, int startw) {
int j0, j1, j2, j3, k, m, mh;
double wn4r, csc1, csc3, wk1r, wk1i, wk3r, wk3i, wd1r, wd1i, wd3r, wd3i;
double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i;
int idx0, idx1, idx2, idx3, idx4, idx5;
mh = n >> 3;
m = 2 * mh;
j1 = m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[offa] + a[idx2];
x0i = -a[offa + 1] - a[idx2 + 1];
x1r = a[offa] - a[idx2];
x1i = -a[offa + 1] + a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[offa] = x0r + x2r;
a[offa + 1] = x0i - x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i + x2i;
a[idx2] = x1r + x3i;
a[idx2 + 1] = x1i + x3r;
a[idx3] = x1r - x3i;
a[idx3 + 1] = x1i - x3r;
wn4r = w[startw + 1];
csc1 = w[startw + 2];
csc3 = w[startw + 3];
wd1r = 1;
wd1i = 0;
wd3r = 1;
wd3i = 0;
k = 0;
for (int j = 2; j < mh - 2; j += 4) {
k += 4;
idx4 = startw + k;
wk1r = csc1 * (wd1r + w[idx4]);
wk1i = csc1 * (wd1i + w[idx4 + 1]);
wk3r = csc3 * (wd3r + w[idx4 + 2]);
wk3i = csc3 * (wd3i + w[idx4 + 3]);
wd1r = w[idx4];
wd1i = w[idx4 + 1];
wd3r = w[idx4 + 2];
wd3i = w[idx4 + 3];
j1 = j + m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
idx5 = offa + j;
x0r = a[idx5] + a[idx2];
x0i = -a[idx5 + 1] - a[idx2 + 1];
x1r = a[idx5] - a[offa + j2];
x1i = -a[idx5 + 1] + a[idx2 + 1];
y0r = a[idx5 + 2] + a[idx2 + 2];
y0i = -a[idx5 + 3] - a[idx2 + 3];
y1r = a[idx5 + 2] - a[idx2 + 2];
y1i = -a[idx5 + 3] + a[idx2 + 3];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
y2r = a[idx1 + 2] + a[idx3 + 2];
y2i = a[idx1 + 3] + a[idx3 + 3];
y3r = a[idx1 + 2] - a[idx3 + 2];
y3i = a[idx1 + 3] - a[idx3 + 3];
a[idx5] = x0r + x2r;
a[idx5 + 1] = x0i - x2i;
a[idx5 + 2] = y0r + y2r;
a[idx5 + 3] = y0i - y2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i + x2i;
a[idx1 + 2] = y0r - y2r;
a[idx1 + 3] = y0i + y2i;
x0r = x1r + x3i;
x0i = x1i + x3r;
a[idx2] = wk1r * x0r - wk1i * x0i;
a[idx2 + 1] = wk1r * x0i + wk1i * x0r;
x0r = y1r + y3i;
x0i = y1i + y3r;
a[idx2 + 2] = wd1r * x0r - wd1i * x0i;
a[idx2 + 3] = wd1r * x0i + wd1i * x0r;
x0r = x1r - x3i;
x0i = x1i - x3r;
a[idx3] = wk3r * x0r + wk3i * x0i;
a[idx3 + 1] = wk3r * x0i - wk3i * x0r;
x0r = y1r - y3i;
x0i = y1i - y3r;
a[idx3 + 2] = wd3r * x0r + wd3i * x0i;
a[idx3 + 3] = wd3r * x0i - wd3i * x0r;
j0 = m - j;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0] + a[idx2];
x0i = -a[idx0 + 1] - a[idx2 + 1];
x1r = a[idx0] - a[idx2];
x1i = -a[idx0 + 1] + a[idx2 + 1];
y0r = a[idx0 - 2] + a[idx2 - 2];
y0i = -a[idx0 - 1] - a[idx2 - 1];
y1r = a[idx0 - 2] - a[idx2 - 2];
y1i = -a[idx0 - 1] + a[idx2 - 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
y2r = a[idx1 - 2] + a[idx3 - 2];
y2i = a[idx1 - 1] + a[idx3 - 1];
y3r = a[idx1 - 2] - a[idx3 - 2];
y3i = a[idx1 - 1] - a[idx3 - 1];
a[idx0] = x0r + x2r;
a[idx0 + 1] = x0i - x2i;
a[idx0 - 2] = y0r + y2r;
a[idx0 - 1] = y0i - y2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i + x2i;
a[idx1 - 2] = y0r - y2r;
a[idx1 - 1] = y0i + y2i;
x0r = x1r + x3i;
x0i = x1i + x3r;
a[idx2] = wk1i * x0r - wk1r * x0i;
a[idx2 + 1] = wk1i * x0i + wk1r * x0r;
x0r = y1r + y3i;
x0i = y1i + y3r;
a[idx2 - 2] = wd1i * x0r - wd1r * x0i;
a[idx2 - 1] = wd1i * x0i + wd1r * x0r;
x0r = x1r - x3i;
x0i = x1i - x3r;
a[idx3] = wk3i * x0r + wk3r * x0i;
a[idx3 + 1] = wk3i * x0i - wk3r * x0r;
x0r = y1r - y3i;
x0i = y1i - y3r;
a[idx3 - 2] = wd3i * x0r + wd3r * x0i;
a[idx3 - 1] = wd3i * x0i - wd3r * x0r;
}
wk1r = csc1 * (wd1r + wn4r);
wk1i = csc1 * (wd1i + wn4r);
wk3r = csc3 * (wd3r - wn4r);
wk3i = csc3 * (wd3i - wn4r);
j0 = mh;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0 - 2] + a[idx2 - 2];
x0i = -a[idx0 - 1] - a[idx2 - 1];
x1r = a[idx0 - 2] - a[idx2 - 2];
x1i = -a[idx0 - 1] + a[idx2 - 1];
x2r = a[idx1 - 2] + a[idx3 - 2];
x2i = a[idx1 - 1] + a[idx3 - 1];
x3r = a[idx1 - 2] - a[idx3 - 2];
x3i = a[idx1 - 1] - a[idx3 - 1];
a[idx0 - 2] = x0r + x2r;
a[idx0 - 1] = x0i - x2i;
a[idx1 - 2] = x0r - x2r;
a[idx1 - 1] = x0i + x2i;
x0r = x1r + x3i;
x0i = x1i + x3r;
a[idx2 - 2] = wk1r * x0r - wk1i * x0i;
a[idx2 - 1] = wk1r * x0i + wk1i * x0r;
x0r = x1r - x3i;
x0i = x1i - x3r;
a[idx3 - 2] = wk3r * x0r + wk3i * x0i;
a[idx3 - 1] = wk3r * x0i - wk3i * x0r;
x0r = a[idx0] + a[idx2];
x0i = -a[idx0 + 1] - a[idx2 + 1];
x1r = a[idx0] - a[idx2];
x1i = -a[idx0 + 1] + a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[idx0] = x0r + x2r;
a[idx0 + 1] = x0i - x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i + x2i;
x0r = x1r + x3i;
x0i = x1i + x3r;
a[idx2] = wn4r * (x0r - x0i);
a[idx2 + 1] = wn4r * (x0i + x0r);
x0r = x1r - x3i;
x0i = x1i - x3r;
a[idx3] = -wn4r * (x0r + x0i);
a[idx3 + 1] = -wn4r * (x0i - x0r);
x0r = a[idx0 + 2] + a[idx2 + 2];
x0i = -a[idx0 + 3] - a[idx2 + 3];
x1r = a[idx0 + 2] - a[idx2 + 2];
x1i = -a[idx0 + 3] + a[idx2 + 3];
x2r = a[idx1 + 2] + a[idx3 + 2];
x2i = a[idx1 + 3] + a[idx3 + 3];
x3r = a[idx1 + 2] - a[idx3 + 2];
x3i = a[idx1 + 3] - a[idx3 + 3];
a[idx0 + 2] = x0r + x2r;
a[idx0 + 3] = x0i - x2i;
a[idx1 + 2] = x0r - x2r;
a[idx1 + 3] = x0i + x2i;
x0r = x1r + x3i;
x0i = x1i + x3r;
a[idx2 + 2] = wk1i * x0r - wk1r * x0i;
a[idx2 + 3] = wk1i * x0i + wk1r * x0r;
x0r = x1r - x3i;
x0i = x1i - x3r;
a[idx3 + 2] = wk3i * x0r + wk3r * x0i;
a[idx3 + 3] = wk3i * x0i - wk3r * x0r;
}
private void cftrec4_th(final int n, final double[] a, final int offa, final int nw, final double[] w) {
int idiv4, m, nthread;
int idx = 0;
nthread = 2;
idiv4 = 0;
m = n >> 1;
if (n > ConcurrencyUtils.getThreadsBeginN_1D_FFT_4Threads()) {
nthread = 4;
idiv4 = 1;
m >>= 1;
}
Future[] futures = new Future[nthread];
final int mf = m;
for (int i = 0; i < nthread; i++) {
final int firstIdx = offa + i * m;
if (i != idiv4) {
futures[idx++] = ConcurrencyUtils.submit(new Runnable() {
public void run() {
int isplt, k, m;
int idx1 = firstIdx + mf;
m = n;
while (m > 512) {
m >>= 2;
cftmdl1(m, a, idx1 - m, w, nw - (m >> 1));
}
cftleaf(m, 1, a, idx1 - m, nw, w);
k = 0;
int idx2 = firstIdx - m;
for (int j = mf - m; j > 0; j -= m) {
k++;
isplt = cfttree(m, j, k, a, firstIdx, nw, w);
cftleaf(m, isplt, a, idx2 + j, nw, w);
}
}
});
} else {
futures[idx++] = ConcurrencyUtils.submit(new Runnable() {
public void run() {
int isplt, k, m;
int idx1 = firstIdx + mf;
k = 1;
m = n;
while (m > 512) {
m >>= 2;
k <<= 2;
cftmdl2(m, a, idx1 - m, w, nw - m);
}
cftleaf(m, 0, a, idx1 - m, nw, w);
k >>= 1;
int idx2 = firstIdx - m;
for (int j = mf - m; j > 0; j -= m) {
k++;
isplt = cfttree(m, j, k, a, firstIdx, nw, w);
cftleaf(m, isplt, a, idx2 + j, nw, w);
}
}
});
}
}
ConcurrencyUtils.waitForCompletion(futures);
}
private void cftrec4(int n, double[] a, int offa, int nw, double[] w) {
int isplt, k, m;
int idx1 = offa + n;
m = n;
while (m > 512) {
m >>= 2;
cftmdl1(m, a, idx1 - m, w, nw - (m >> 1));
}
cftleaf(m, 1, a, idx1 - m, nw, w);
k = 0;
int idx2 = offa - m;
for (int j = n - m; j > 0; j -= m) {
k++;
isplt = cfttree(m, j, k, a, offa, nw, w);
cftleaf(m, isplt, a, idx2 + j, nw, w);
}
}
private int cfttree(int n, int j, int k, double[] a, int offa, int nw, double[] w) {
int i, isplt, m;
int idx1 = offa - n;
if ((k & 3) != 0) {
isplt = k & 1;
if (isplt != 0) {
cftmdl1(n, a, idx1 + j, w, nw - (n >> 1));
} else {
cftmdl2(n, a, idx1 + j, w, nw - n);
}
} else {
m = n;
for (i = k; (i & 3) == 0; i >>= 2) {
m <<= 2;
}
isplt = i & 1;
int idx2 = offa + j;
if (isplt != 0) {
while (m > 128) {
cftmdl1(m, a, idx2 - m, w, nw - (m >> 1));
m >>= 2;
}
} else {
while (m > 128) {
cftmdl2(m, a, idx2 - m, w, nw - m);
m >>= 2;
}
}
}
return isplt;
}
private void cftleaf(int n, int isplt, double[] a, int offa, int nw, double[] w) {
if (n == 512) {
cftmdl1(128, a, offa, w, nw - 64);
cftf161(a, offa, w, nw - 8);
cftf162(a, offa + 32, w, nw - 32);
cftf161(a, offa + 64, w, nw - 8);
cftf161(a, offa + 96, w, nw - 8);
cftmdl2(128, a, offa + 128, w, nw - 128);
cftf161(a, offa + 128, w, nw - 8);
cftf162(a, offa + 160, w, nw - 32);
cftf161(a, offa + 192, w, nw - 8);
cftf162(a, offa + 224, w, nw - 32);
cftmdl1(128, a, offa + 256, w, nw - 64);
cftf161(a, offa + 256, w, nw - 8);
cftf162(a, offa + 288, w, nw - 32);
cftf161(a, offa + 320, w, nw - 8);
cftf161(a, offa + 352, w, nw - 8);
if (isplt != 0) {
cftmdl1(128, a, offa + 384, w, nw - 64);
cftf161(a, offa + 480, w, nw - 8);
} else {
cftmdl2(128, a, offa + 384, w, nw - 128);
cftf162(a, offa + 480, w, nw - 32);
}
cftf161(a, offa + 384, w, nw - 8);
cftf162(a, offa + 416, w, nw - 32);
cftf161(a, offa + 448, w, nw - 8);
} else {
cftmdl1(64, a, offa, w, nw - 32);
cftf081(a, offa, w, nw - 8);
cftf082(a, offa + 16, w, nw - 8);
cftf081(a, offa + 32, w, nw - 8);
cftf081(a, offa + 48, w, nw - 8);
cftmdl2(64, a, offa + 64, w, nw - 64);
cftf081(a, offa + 64, w, nw - 8);
cftf082(a, offa + 80, w, nw - 8);
cftf081(a, offa + 96, w, nw - 8);
cftf082(a, offa + 112, w, nw - 8);
cftmdl1(64, a, offa + 128, w, nw - 32);
cftf081(a, offa + 128, w, nw - 8);
cftf082(a, offa + 144, w, nw - 8);
cftf081(a, offa + 160, w, nw - 8);
cftf081(a, offa + 176, w, nw - 8);
if (isplt != 0) {
cftmdl1(64, a, offa + 192, w, nw - 32);
cftf081(a, offa + 240, w, nw - 8);
} else {
cftmdl2(64, a, offa + 192, w, nw - 64);
cftf082(a, offa + 240, w, nw - 8);
}
cftf081(a, offa + 192, w, nw - 8);
cftf082(a, offa + 208, w, nw - 8);
cftf081(a, offa + 224, w, nw - 8);
}
}
private void cftmdl1(int n, double[] a, int offa, double[] w, int startw) {
int j0, j1, j2, j3, k, m, mh;
double wn4r, wk1r, wk1i, wk3r, wk3i;
double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
int idx0, idx1, idx2, idx3, idx4, idx5;
mh = n >> 3;
m = 2 * mh;
j1 = m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[offa] + a[idx2];
x0i = a[offa + 1] + a[idx2 + 1];
x1r = a[offa] - a[idx2];
x1i = a[offa + 1] - a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[offa] = x0r + x2r;
a[offa + 1] = x0i + x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
a[idx2] = x1r - x3i;
a[idx2 + 1] = x1i + x3r;
a[idx3] = x1r + x3i;
a[idx3 + 1] = x1i - x3r;
wn4r = w[startw + 1];
k = 0;
for (int j = 2; j < mh; j += 2) {
k += 4;
idx4 = startw + k;
wk1r = w[idx4];
wk1i = w[idx4 + 1];
wk3r = w[idx4 + 2];
wk3i = w[idx4 + 3];
j1 = j + m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
idx5 = offa + j;
x0r = a[idx5] + a[idx2];
x0i = a[idx5 + 1] + a[idx2 + 1];
x1r = a[idx5] - a[idx2];
x1i = a[idx5 + 1] - a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[idx5] = x0r + x2r;
a[idx5 + 1] = x0i + x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2] = wk1r * x0r - wk1i * x0i;
a[idx2 + 1] = wk1r * x0i + wk1i * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3] = wk3r * x0r + wk3i * x0i;
a[idx3 + 1] = wk3r * x0i - wk3i * x0r;
j0 = m - j;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0] + a[idx2];
x0i = a[idx0 + 1] + a[idx2 + 1];
x1r = a[idx0] - a[idx2];
x1i = a[idx0 + 1] - a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[idx0] = x0r + x2r;
a[idx0 + 1] = x0i + x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2] = wk1i * x0r - wk1r * x0i;
a[idx2 + 1] = wk1i * x0i + wk1r * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3] = wk3i * x0r + wk3r * x0i;
a[idx3 + 1] = wk3i * x0i - wk3r * x0r;
}
j0 = mh;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0] + a[idx2];
x0i = a[idx0 + 1] + a[idx2 + 1];
x1r = a[idx0] - a[idx2];
x1i = a[idx0 + 1] - a[idx2 + 1];
x2r = a[idx1] + a[idx3];
x2i = a[idx1 + 1] + a[idx3 + 1];
x3r = a[idx1] - a[idx3];
x3i = a[idx1 + 1] - a[idx3 + 1];
a[idx0] = x0r + x2r;
a[idx0 + 1] = x0i + x2i;
a[idx1] = x0r - x2r;
a[idx1 + 1] = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
a[idx2] = wn4r * (x0r - x0i);
a[idx2 + 1] = wn4r * (x0i + x0r);
x0r = x1r + x3i;
x0i = x1i - x3r;
a[idx3] = -wn4r * (x0r + x0i);
a[idx3 + 1] = -wn4r * (x0i - x0r);
}
private void cftmdl2(int n, double[] a, int offa, double[] w, int startw) {
int j0, j1, j2, j3, k, kr, m, mh;
double wn4r, wk1r, wk1i, wk3r, wk3i, wd1r, wd1i, wd3r, wd3i;
double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, y0r, y0i, y2r, y2i;
int idx0, idx1, idx2, idx3, idx4, idx5, idx6;
mh = n >> 3;
m = 2 * mh;
wn4r = w[startw + 1];
j1 = m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[offa] - a[idx2 + 1];
x0i = a[offa + 1] + a[idx2];
x1r = a[offa] + a[idx2 + 1];
x1i = a[offa + 1] - a[idx2];
x2r = a[idx1] - a[idx3 + 1];
x2i = a[idx1 + 1] + a[idx3];
x3r = a[idx1] + a[idx3 + 1];
x3i = a[idx1 + 1] - a[idx3];
y0r = wn4r * (x2r - x2i);
y0i = wn4r * (x2i + x2r);
a[offa] = x0r + y0r;
a[offa + 1] = x0i + y0i;
a[idx1] = x0r - y0r;
a[idx1 + 1] = x0i - y0i;
y0r = wn4r * (x3r - x3i);
y0i = wn4r * (x3i + x3r);
a[idx2] = x1r - y0i;
a[idx2 + 1] = x1i + y0r;
a[idx3] = x1r + y0i;
a[idx3 + 1] = x1i - y0r;
k = 0;
kr = 2 * m;
for (int j = 2; j < mh; j += 2) {
k += 4;
idx4 = startw + k;
wk1r = w[idx4];
wk1i = w[idx4 + 1];
wk3r = w[idx4 + 2];
wk3i = w[idx4 + 3];
kr -= 4;
idx5 = startw + kr;
wd1i = w[idx5];
wd1r = w[idx5 + 1];
wd3i = w[idx5 + 2];
wd3r = w[idx5 + 3];
j1 = j + m;
j2 = j1 + m;
j3 = j2 + m;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
idx6 = offa + j;
x0r = a[idx6] - a[idx2 + 1];
x0i = a[idx6 + 1] + a[idx2];
x1r = a[idx6] + a[idx2 + 1];
x1i = a[idx6 + 1] - a[idx2];
x2r = a[idx1] - a[idx3 + 1];
x2i = a[idx1 + 1] + a[idx3];
x3r = a[idx1] + a[idx3 + 1];
x3i = a[idx1 + 1] - a[idx3];
y0r = wk1r * x0r - wk1i * x0i;
y0i = wk1r * x0i + wk1i * x0r;
y2r = wd1r * x2r - wd1i * x2i;
y2i = wd1r * x2i + wd1i * x2r;
a[idx6] = y0r + y2r;
a[idx6 + 1] = y0i + y2i;
a[idx1] = y0r - y2r;
a[idx1 + 1] = y0i - y2i;
y0r = wk3r * x1r + wk3i * x1i;
y0i = wk3r * x1i - wk3i * x1r;
y2r = wd3r * x3r + wd3i * x3i;
y2i = wd3r * x3i - wd3i * x3r;
a[idx2] = y0r + y2r;
a[idx2 + 1] = y0i + y2i;
a[idx3] = y0r - y2r;
a[idx3 + 1] = y0i - y2i;
j0 = m - j;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0] - a[idx2 + 1];
x0i = a[idx0 + 1] + a[idx2];
x1r = a[idx0] + a[idx2 + 1];
x1i = a[idx0 + 1] - a[idx2];
x2r = a[idx1] - a[idx3 + 1];
x2i = a[idx1 + 1] + a[idx3];
x3r = a[idx1] + a[idx3 + 1];
x3i = a[idx1 + 1] - a[idx3];
y0r = wd1i * x0r - wd1r * x0i;
y0i = wd1i * x0i + wd1r * x0r;
y2r = wk1i * x2r - wk1r * x2i;
y2i = wk1i * x2i + wk1r * x2r;
a[idx0] = y0r + y2r;
a[idx0 + 1] = y0i + y2i;
a[idx1] = y0r - y2r;
a[idx1 + 1] = y0i - y2i;
y0r = wd3i * x1r + wd3r * x1i;
y0i = wd3i * x1i - wd3r * x1r;
y2r = wk3i * x3r + wk3r * x3i;
y2i = wk3i * x3i - wk3r * x3r;
a[idx2] = y0r + y2r;
a[idx2 + 1] = y0i + y2i;
a[idx3] = y0r - y2r;
a[idx3 + 1] = y0i - y2i;
}
wk1r = w[startw + m];
wk1i = w[startw + m + 1];
j0 = mh;
j1 = j0 + m;
j2 = j1 + m;
j3 = j2 + m;
idx0 = offa + j0;
idx1 = offa + j1;
idx2 = offa + j2;
idx3 = offa + j3;
x0r = a[idx0] - a[idx2 + 1];
x0i = a[idx0 + 1] + a[idx2];
x1r = a[idx0] + a[idx2 + 1];
x1i = a[idx0 + 1] - a[idx2];
x2r = a[idx1] - a[idx3 + 1];
x2i = a[idx1 + 1] + a[idx3];
x3r = a[idx1] + a[idx3 + 1];
x3i = a[idx1 + 1] - a[idx3];
y0r = wk1r * x0r - wk1i * x0i;
y0i = wk1r * x0i + wk1i * x0r;
y2r = wk1i * x2r - wk1r * x2i;
y2i = wk1i * x2i + wk1r * x2r;
a[idx0] = y0r + y2r;
a[idx0 + 1] = y0i + y2i;
a[idx1] = y0r - y2r;
a[idx1 + 1] = y0i - y2i;
y0r = wk1i * x1r - wk1r * x1i;
y0i = wk1i * x1i + wk1r * x1r;
y2r = wk1r * x3r - wk1i * x3i;
y2i = wk1r * x3i + wk1i * x3r;
a[idx2] = y0r - y2r;
a[idx2 + 1] = y0i - y2i;
a[idx3] = y0r + y2r;
a[idx3 + 1] = y0i + y2i;
}
private void cftfx41(int n, double[] a, int offa, int nw, double[] w) {
if (n == 128) {
cftf161(a, offa, w, nw - 8);
cftf162(a, offa + 32, w, nw - 32);
cftf161(a, offa + 64, w, nw - 8);
cftf161(a, offa + 96, w, nw - 8);
} else {
cftf081(a, offa, w, nw - 8);
cftf082(a, offa + 16, w, nw - 8);
cftf081(a, offa + 32, w, nw - 8);
cftf081(a, offa + 48, w, nw - 8);
}
}
private void cftf161(double[] a, int offa, double[] w, int startw) {
double wn4r, wk1r, wk1i, x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i, y8r, y8i, y9r, y9i, y10r, y10i, y11r, y11i, y12r, y12i, y13r, y13i, y14r, y14i, y15r, y15i;
wn4r = w[startw + 1];
wk1r = w[startw + 2];
wk1i = w[startw + 3];
x0r = a[offa] + a[offa + 16];
x0i = a[offa + 1] + a[offa + 17];
x1r = a[offa] - a[offa + 16];
x1i = a[offa + 1] - a[offa + 17];
x2r = a[offa + 8] + a[offa + 24];
x2i = a[offa + 9] + a[offa + 25];
x3r = a[offa + 8] - a[offa + 24];
x3i = a[offa + 9] - a[offa + 25];
y0r = x0r + x2r;
y0i = x0i + x2i;
y4r = x0r - x2r;
y4i = x0i - x2i;
y8r = x1r - x3i;
y8i = x1i + x3r;
y12r = x1r + x3i;
y12i = x1i - x3r;
x0r = a[offa + 2] + a[offa + 18];
x0i = a[offa + 3] + a[offa + 19];
x1r = a[offa + 2] - a[offa + 18];
x1i = a[offa + 3] - a[offa + 19];
x2r = a[offa + 10] + a[offa + 26];
x2i = a[offa + 11] + a[offa + 27];
x3r = a[offa + 10] - a[offa + 26];
x3i = a[offa + 11] - a[offa + 27];
y1r = x0r + x2r;
y1i = x0i + x2i;
y5r = x0r - x2r;
y5i = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
y9r = wk1r * x0r - wk1i * x0i;
y9i = wk1r * x0i + wk1i * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
y13r = wk1i * x0r - wk1r * x0i;
y13i = wk1i * x0i + wk1r * x0r;
x0r = a[offa + 4] + a[offa + 20];
x0i = a[offa + 5] + a[offa + 21];
x1r = a[offa + 4] - a[offa + 20];
x1i = a[offa + 5] - a[offa + 21];
x2r = a[offa + 12] + a[offa + 28];
x2i = a[offa + 13] + a[offa + 29];
x3r = a[offa + 12] - a[offa + 28];
x3i = a[offa + 13] - a[offa + 29];
y2r = x0r + x2r;
y2i = x0i + x2i;
y6r = x0r - x2r;
y6i = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
y10r = wn4r * (x0r - x0i);
y10i = wn4r * (x0i + x0r);
x0r = x1r + x3i;
x0i = x1i - x3r;
y14r = wn4r * (x0r + x0i);
y14i = wn4r * (x0i - x0r);
x0r = a[offa + 6] + a[offa + 22];
x0i = a[offa + 7] + a[offa + 23];
x1r = a[offa + 6] - a[offa + 22];
x1i = a[offa + 7] - a[offa + 23];
x2r = a[offa + 14] + a[offa + 30];
x2i = a[offa + 15] + a[offa + 31];
x3r = a[offa + 14] - a[offa + 30];
x3i = a[offa + 15] - a[offa + 31];
y3r = x0r + x2r;
y3i = x0i + x2i;
y7r = x0r - x2r;
y7i = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
y11r = wk1i * x0r - wk1r * x0i;
y11i = wk1i * x0i + wk1r * x0r;
x0r = x1r + x3i;
x0i = x1i - x3r;
y15r = wk1r * x0r - wk1i * x0i;
y15i = wk1r * x0i + wk1i * x0r;
x0r = y12r - y14r;
x0i = y12i - y14i;
x1r = y12r + y14r;
x1i = y12i + y14i;
x2r = y13r - y15r;
x2i = y13i - y15i;
x3r = y13r + y15r;
x3i = y13i + y15i;
a[offa + 24] = x0r + x2r;
a[offa + 25] = x0i + x2i;
a[offa + 26] = x0r - x2r;
a[offa + 27] = x0i - x2i;
a[offa + 28] = x1r - x3i;
a[offa + 29] = x1i + x3r;
a[offa + 30] = x1r + x3i;
a[offa + 31] = x1i - x3r;
x0r = y8r + y10r;
x0i = y8i + y10i;
x1r = y8r - y10r;
x1i = y8i - y10i;
x2r = y9r + y11r;
x2i = y9i + y11i;
x3r = y9r - y11r;
x3i = y9i - y11i;
a[offa + 16] = x0r + x2r;
a[offa + 17] = x0i + x2i;
a[offa + 18] = x0r - x2r;
a[offa + 19] = x0i - x2i;
a[offa + 20] = x1r - x3i;
a[offa + 21] = x1i + x3r;
a[offa + 22] = x1r + x3i;
a[offa + 23] = x1i - x3r;
x0r = y5r - y7i;
x0i = y5i + y7r;
x2r = wn4r * (x0r - x0i);
x2i = wn4r * (x0i + x0r);
x0r = y5r + y7i;
x0i = y5i - y7r;
x3r = wn4r * (x0r - x0i);
x3i = wn4r * (x0i + x0r);
x0r = y4r - y6i;
x0i = y4i + y6r;
x1r = y4r + y6i;
x1i = y4i - y6r;
a[offa + 8] = x0r + x2r;
a[offa + 9] = x0i + x2i;
a[offa + 10] = x0r - x2r;
a[offa + 11] = x0i - x2i;
a[offa + 12] = x1r - x3i;
a[offa + 13] = x1i + x3r;
a[offa + 14] = x1r + x3i;
a[offa + 15] = x1i - x3r;
x0r = y0r + y2r;
x0i = y0i + y2i;
x1r = y0r - y2r;
x1i = y0i - y2i;
x2r = y1r + y3r;
x2i = y1i + y3i;
x3r = y1r - y3r;
x3i = y1i - y3i;
a[offa] = x0r + x2r;
a[offa + 1] = x0i + x2i;
a[offa + 2] = x0r - x2r;
a[offa + 3] = x0i - x2i;
a[offa + 4] = x1r - x3i;
a[offa + 5] = x1i + x3r;
a[offa + 6] = x1r + x3i;
a[offa + 7] = x1i - x3r;
}
private void cftf162(double[] a, int offa, double[] w, int startw) {
double wn4r, wk1r, wk1i, wk2r, wk2i, wk3r, wk3i, x0r, x0i, x1r, x1i, x2r, x2i, y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i, y8r, y8i, y9r, y9i, y10r, y10i, y11r, y11i, y12r, y12i, y13r, y13i, y14r, y14i, y15r, y15i;
wn4r = w[startw + 1];
wk1r = w[startw + 4];
wk1i = w[startw + 5];
wk3r = w[startw + 6];
wk3i = -w[startw + 7];
wk2r = w[startw + 8];
wk2i = w[startw + 9];
x1r = a[offa] - a[offa + 17];
x1i = a[offa + 1] + a[offa + 16];
x0r = a[offa + 8] - a[offa + 25];
x0i = a[offa + 9] + a[offa + 24];
x2r = wn4r * (x0r - x0i);
x2i = wn4r * (x0i + x0r);
y0r = x1r + x2r;
y0i = x1i + x2i;
y4r = x1r - x2r;
y4i = x1i - x2i;
x1r = a[offa] + a[offa + 17];
x1i = a[offa + 1] - a[offa + 16];
x0r = a[offa + 8] + a[offa + 25];
x0i = a[offa + 9] - a[offa + 24];
x2r = wn4r * (x0r - x0i);
x2i = wn4r * (x0i + x0r);
y8r = x1r - x2i;
y8i = x1i + x2r;
y12r = x1r + x2i;
y12i = x1i - x2r;
x0r = a[offa + 2] - a[offa + 19];
x0i = a[offa + 3] + a[offa + 18];
x1r = wk1r * x0r - wk1i * x0i;
x1i = wk1r * x0i + wk1i * x0r;
x0r = a[offa + 10] - a[offa + 27];
x0i = a[offa + 11] + a[offa + 26];
x2r = wk3i * x0r - wk3r * x0i;
x2i = wk3i * x0i + wk3r * x0r;
y1r = x1r + x2r;
y1i = x1i + x2i;
y5r = x1r - x2r;
y5i = x1i - x2i;
x0r = a[offa + 2] + a[offa + 19];
x0i = a[offa + 3] - a[offa + 18];
x1r = wk3r * x0r - wk3i * x0i;
x1i = wk3r * x0i + wk3i * x0r;
x0r = a[offa + 10] + a[offa + 27];
x0i = a[offa + 11] - a[offa + 26];
x2r = wk1r * x0r + wk1i * x0i;
x2i = wk1r * x0i - wk1i * x0r;
y9r = x1r - x2r;
y9i = x1i - x2i;
y13r = x1r + x2r;
y13i = x1i + x2i;
x0r = a[offa + 4] - a[offa + 21];
x0i = a[offa + 5] + a[offa + 20];
x1r = wk2r * x0r - wk2i * x0i;
x1i = wk2r * x0i + wk2i * x0r;
x0r = a[offa + 12] - a[offa + 29];
x0i = a[offa + 13] + a[offa + 28];
x2r = wk2i * x0r - wk2r * x0i;
x2i = wk2i * x0i + wk2r * x0r;
y2r = x1r + x2r;
y2i = x1i + x2i;
y6r = x1r - x2r;
y6i = x1i - x2i;
x0r = a[offa + 4] + a[offa + 21];
x0i = a[offa + 5] - a[offa + 20];
x1r = wk2i * x0r - wk2r * x0i;
x1i = wk2i * x0i + wk2r * x0r;
x0r = a[offa + 12] + a[offa + 29];
x0i = a[offa + 13] - a[offa + 28];
x2r = wk2r * x0r - wk2i * x0i;
x2i = wk2r * x0i + wk2i * x0r;
y10r = x1r - x2r;
y10i = x1i - x2i;
y14r = x1r + x2r;
y14i = x1i + x2i;
x0r = a[offa + 6] - a[offa + 23];
x0i = a[offa + 7] + a[offa + 22];
x1r = wk3r * x0r - wk3i * x0i;
x1i = wk3r * x0i + wk3i * x0r;
x0r = a[offa + 14] - a[offa + 31];
x0i = a[offa + 15] + a[offa + 30];
x2r = wk1i * x0r - wk1r * x0i;
x2i = wk1i * x0i + wk1r * x0r;
y3r = x1r + x2r;
y3i = x1i + x2i;
y7r = x1r - x2r;
y7i = x1i - x2i;
x0r = a[offa + 6] + a[offa + 23];
x0i = a[offa + 7] - a[offa + 22];
x1r = wk1i * x0r + wk1r * x0i;
x1i = wk1i * x0i - wk1r * x0r;
x0r = a[offa + 14] + a[offa + 31];
x0i = a[offa + 15] - a[offa + 30];
x2r = wk3i * x0r - wk3r * x0i;
x2i = wk3i * x0i + wk3r * x0r;
y11r = x1r + x2r;
y11i = x1i + x2i;
y15r = x1r - x2r;
y15i = x1i - x2i;
x1r = y0r + y2r;
x1i = y0i + y2i;
x2r = y1r + y3r;
x2i = y1i + y3i;
a[offa] = x1r + x2r;
a[offa + 1] = x1i + x2i;
a[offa + 2] = x1r - x2r;
a[offa + 3] = x1i - x2i;
x1r = y0r - y2r;
x1i = y0i - y2i;
x2r = y1r - y3r;
x2i = y1i - y3i;
a[offa + 4] = x1r - x2i;
a[offa + 5] = x1i + x2r;
a[offa + 6] = x1r + x2i;
a[offa + 7] = x1i - x2r;
x1r = y4r - y6i;
x1i = y4i + y6r;
x0r = y5r - y7i;
x0i = y5i + y7r;
x2r = wn4r * (x0r - x0i);
x2i = wn4r * (x0i + x0r);
a[offa + 8] = x1r + x2r;
a[offa + 9] = x1i + x2i;
a[offa + 10] = x1r - x2r;
a[offa + 11] = x1i - x2i;
x1r = y4r + y6i;
x1i = y4i - y6r;
x0r = y5r + y7i;
x0i = y5i - y7r;
x2r = wn4r * (x0r - x0i);
x2i = wn4r * (x0i + x0r);
a[offa + 12] = x1r - x2i;
a[offa + 13] = x1i + x2r;
a[offa + 14] = x1r + x2i;
a[offa + 15] = x1i - x2r;
x1r = y8r + y10r;
x1i = y8i + y10i;
x2r = y9r - y11r;
x2i = y9i - y11i;
a[offa + 16] = x1r + x2r;
a[offa + 17] = x1i + x2i;
a[offa + 18] = x1r - x2r;
a[offa + 19] = x1i - x2i;
x1r = y8r - y10r;
x1i = y8i - y10i;
x2r = y9r + y11r;
x2i = y9i + y11i;
a[offa + 20] = x1r - x2i;
a[offa + 21] = x1i + x2r;
a[offa + 22] = x1r + x2i;
a[offa + 23] = x1i - x2r;
x1r = y12r - y14i;
x1i = y12i + y14r;
x0r = y13r + y15i;
x0i = y13i - y15r;
x2r = wn4r * (x0r - x0i);
x2i = wn4r * (x0i + x0r);
a[offa + 24] = x1r + x2r;
a[offa + 25] = x1i + x2i;
a[offa + 26] = x1r - x2r;
a[offa + 27] = x1i - x2i;
x1r = y12r + y14i;
x1i = y12i - y14r;
x0r = y13r - y15i;
x0i = y13i + y15r;
x2r = wn4r * (x0r - x0i);
x2i = wn4r * (x0i + x0r);
a[offa + 28] = x1r - x2i;
a[offa + 29] = x1i + x2r;
a[offa + 30] = x1r + x2i;
a[offa + 31] = x1i - x2r;
}
private void cftf081(double[] a, int offa, double[] w, int startw) {
double wn4r, x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i;
wn4r = w[startw + 1];
x0r = a[offa] + a[offa + 8];
x0i = a[offa + 1] + a[offa + 9];
x1r = a[offa] - a[offa + 8];
x1i = a[offa + 1] - a[offa + 9];
x2r = a[offa + 4] + a[offa + 12];
x2i = a[offa + 5] + a[offa + 13];
x3r = a[offa + 4] - a[offa + 12];
x3i = a[offa + 5] - a[offa + 13];
y0r = x0r + x2r;
y0i = x0i + x2i;
y2r = x0r - x2r;
y2i = x0i - x2i;
y1r = x1r - x3i;
y1i = x1i + x3r;
y3r = x1r + x3i;
y3i = x1i - x3r;
x0r = a[offa + 2] + a[offa + 10];
x0i = a[offa + 3] + a[offa + 11];
x1r = a[offa + 2] - a[offa + 10];
x1i = a[offa + 3] - a[offa + 11];
x2r = a[offa + 6] + a[offa + 14];
x2i = a[offa + 7] + a[offa + 15];
x3r = a[offa + 6] - a[offa + 14];
x3i = a[offa + 7] - a[offa + 15];
y4r = x0r + x2r;
y4i = x0i + x2i;
y6r = x0r - x2r;
y6i = x0i - x2i;
x0r = x1r - x3i;
x0i = x1i + x3r;
x2r = x1r + x3i;
x2i = x1i - x3r;
y5r = wn4r * (x0r - x0i);
y5i = wn4r * (x0r + x0i);
y7r = wn4r * (x2r - x2i);
y7i = wn4r * (x2r + x2i);
a[offa + 8] = y1r + y5r;
a[offa + 9] = y1i + y5i;
a[offa + 10] = y1r - y5r;
a[offa + 11] = y1i - y5i;
a[offa + 12] = y3r - y7i;
a[offa + 13] = y3i + y7r;
a[offa + 14] = y3r + y7i;
a[offa + 15] = y3i - y7r;
a[offa] = y0r + y4r;
a[offa + 1] = y0i + y4i;
a[offa + 2] = y0r - y4r;
a[offa + 3] = y0i - y4i;
a[offa + 4] = y2r - y6i;
a[offa + 5] = y2i + y6r;
a[offa + 6] = y2r + y6i;
a[offa + 7] = y2i - y6r;
}
private void cftf082(double[] a, int offa, double[] w, int startw) {
double wn4r, wk1r, wk1i, x0r, x0i, x1r, x1i, y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i;
wn4r = w[startw + 1];
wk1r = w[startw + 2];
wk1i = w[startw + 3];
y0r = a[offa] - a[offa + 9];
y0i = a[offa + 1] + a[offa + 8];
y1r = a[offa] + a[offa + 9];
y1i = a[offa + 1] - a[offa + 8];
x0r = a[offa + 4] - a[offa + 13];
x0i = a[offa + 5] + a[offa + 12];
y2r = wn4r * (x0r - x0i);
y2i = wn4r * (x0i + x0r);
x0r = a[offa + 4] + a[offa + 13];
x0i = a[offa + 5] - a[offa + 12];
y3r = wn4r * (x0r - x0i);
y3i = wn4r * (x0i + x0r);
x0r = a[offa + 2] - a[offa + 11];
x0i = a[offa + 3] + a[offa + 10];
y4r = wk1r * x0r - wk1i * x0i;
y4i = wk1r * x0i + wk1i * x0r;
x0r = a[offa + 2] + a[offa + 11];
x0i = a[offa + 3] - a[offa + 10];
y5r = wk1i * x0r - wk1r * x0i;
y5i = wk1i * x0i + wk1r * x0r;
x0r = a[offa + 6] - a[offa + 15];
x0i = a[offa + 7] + a[offa + 14];
y6r = wk1i * x0r - wk1r * x0i;
y6i = wk1i * x0i + wk1r * x0r;
x0r = a[offa + 6] + a[offa + 15];
x0i = a[offa + 7] - a[offa + 14];
y7r = wk1r * x0r - wk1i * x0i;
y7i = wk1r * x0i + wk1i * x0r;
x0r = y0r + y2r;
x0i = y0i + y2i;
x1r = y4r + y6r;
x1i = y4i + y6i;
a[offa] = x0r + x1r;
a[offa + 1] = x0i + x1i;
a[offa + 2] = x0r - x1r;
a[offa + 3] = x0i - x1i;
x0r = y0r - y2r;
x0i = y0i - y2i;
x1r = y4r - y6r;
x1i = y4i - y6i;
a[offa + 4] = x0r - x1i;
a[offa + 5] = x0i + x1r;
a[offa + 6] = x0r + x1i;
a[offa + 7] = x0i - x1r;
x0r = y1r - y3i;
x0i = y1i + y3r;
x1r = y5r - y7r;
x1i = y5i - y7i;
a[offa + 8] = x0r + x1r;
a[offa + 9] = x0i + x1i;
a[offa + 10] = x0r - x1r;
a[offa + 11] = x0i - x1i;
x0r = y1r + y3i;
x0i = y1i - y3r;
x1r = y5r + y7r;
x1i = y5i + y7i;
a[offa + 12] = x0r - x1i;
a[offa + 13] = x0i + x1r;
a[offa + 14] = x0r + x1i;
a[offa + 15] = x0i - x1r;
}
private void cftf040(double[] a, int offa) {
double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
x0r = a[offa] + a[offa + 4];
x0i = a[offa + 1] + a[offa + 5];
x1r = a[offa] - a[offa + 4];
x1i = a[offa + 1] - a[offa + 5];
x2r = a[offa + 2] + a[offa + 6];
x2i = a[offa + 3] + a[offa + 7];
x3r = a[offa + 2] - a[offa + 6];
x3i = a[offa + 3] - a[offa + 7];
a[offa] = x0r + x2r;
a[offa + 1] = x0i + x2i;
a[offa + 2] = x1r - x3i;
a[offa + 3] = x1i + x3r;
a[offa + 4] = x0r - x2r;
a[offa + 5] = x0i - x2i;
a[offa + 6] = x1r + x3i;
a[offa + 7] = x1i - x3r;
}
private void cftb040(double[] a, int offa) {
double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
x0r = a[offa] + a[offa + 4];
x0i = a[offa + 1] + a[offa + 5];
x1r = a[offa] - a[offa + 4];
x1i = a[offa + 1] - a[offa + 5];
x2r = a[offa + 2] + a[offa + 6];
x2i = a[offa + 3] + a[offa + 7];
x3r = a[offa + 2] - a[offa + 6];
x3i = a[offa + 3] - a[offa + 7];
a[offa] = x0r + x2r;
a[offa + 1] = x0i + x2i;
a[offa + 2] = x1r + x3i;
a[offa + 3] = x1i - x3r;
a[offa + 4] = x0r - x2r;
a[offa + 5] = x0i - x2i;
a[offa + 6] = x1r - x3i;
a[offa + 7] = x1i + x3r;
}
private void cftx020(double[] a, int offa) {
double x0r, x0i;
x0r = a[offa] - a[offa + 2];
x0i = a[offa + 1] - a[offa + 3];
a[offa] += a[offa + 2];
a[offa + 1] += a[offa + 3];
a[offa + 2] = x0r;
a[offa + 3] = x0i;
}
private void rftfsub(int n, double[] a, int offa, int nc, double[] c, int startc) {
int k, kk, ks, m;
double wkr, wki, xr, xi, yr, yi;
int idx1, idx2;
m = n >> 1;
ks = 2 * nc / m;
kk = 0;
for (int j = 2; j < m; j += 2) {
k = n - j;
kk += ks;
wkr = 0.5 - c[startc + nc - kk];
wki = c[startc + kk];
idx1 = offa + j;
idx2 = offa + k;
xr = a[idx1] - a[idx2];
xi = a[idx1 + 1] + a[idx2 + 1];
yr = wkr * xr - wki * xi;
yi = wkr * xi + wki * xr;
a[idx1] -= yr;
a[idx1 + 1] -= yi;
a[idx2] += yr;
a[idx2 + 1] -= yi;
}
}
private void rftbsub(int n, double[] a, int offa, int nc, double[] c, int startc) {
int k, kk, ks, m;
double wkr, wki, xr, xi, yr, yi;
int idx1, idx2;
m = n >> 1;
ks = 2 * nc / m;
kk = 0;
for (int j = 2; j < m; j += 2) {
k = n - j;
kk += ks;
wkr = 0.5 - c[startc + nc - kk];
wki = c[startc + kk];
idx1 = offa + j;
idx2 = offa + k;
xr = a[idx1] - a[idx2];
xi = a[idx1 + 1] + a[idx2 + 1];
yr = wkr * xr + wki * xi;
yi = wkr * xi - wki * xr;
a[idx1] -= yr;
a[idx1 + 1] -= yi;
a[idx2] += yr;
a[idx2 + 1] -= yi;
}
}
private void dctsub(int n, double[] a, int offa, int nc, double[] c, int startc) {
int k, kk, ks, m;
double wkr, wki, xr;
int idx0, idx1, idx2;
m = n >> 1;
ks = nc / n;
kk = 0;
for (int j = 1; j < m; j++) {
k = n - j;
kk += ks;
idx0 = startc + kk;
idx1 = offa + j;
idx2 = offa + k;
wkr = c[idx0] - c[startc + nc - kk];
wki = c[idx0] + c[startc + nc - kk];
xr = wki * a[idx1] - wkr * a[idx2];
a[idx1] = wkr * a[idx1] + wki * a[idx2];
a[idx2] = xr;
}
a[offa + m] *= c[startc];
}
private void scale(final double m, final double[] a, final int offa) {
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if ((nthreads > 1) && (n > ConcurrencyUtils.getThreadsBeginN_1D_FFT_2Threads())) {
nthreads = 2;
final int k = n / nthreads;
Future[] futures = new Future[nthreads];
for (int i = 0; i < nthreads; i++) {
final int firstIdx = offa + i * k;
final int lastIdx = (i == (nthreads - 1)) ? offa + n : firstIdx + k;
futures[i] = ConcurrencyUtils.submit(new Runnable() {
public void run() {
for (int i = firstIdx; i < lastIdx; i++) {
a[i] *= m;
}
}
});
}
ConcurrencyUtils.waitForCompletion(futures);
} else {
int firstIdx = offa;
int lastIdx = offa + n;
for (int i = firstIdx; i < lastIdx; i++) {
a[i] *= m;
}
}
}
}
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