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DoubleDHT_3D.java
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DoubleDHT_3D.java
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/* ***** BEGIN LICENSE BLOCK *****
* JTransforms
* Copyright (c) 2007 onward, Piotr Wendykier
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
* ***** END LICENSE BLOCK ***** */
package org.jtransforms.dht;
import java.util.concurrent.Future;
import java.util.concurrent.ExecutionException;
import java.util.logging.Level;
import java.util.logging.Logger;
import org.jtransforms.utils.CommonUtils;
import pl.edu.icm.jlargearrays.ConcurrencyUtils;
import pl.edu.icm.jlargearrays.DoubleLargeArray;
import pl.edu.icm.jlargearrays.LargeArray;
/**
* Computes 3D Discrete Hartley Transform (DHT) of real, double precision data.
* The sizes of all three dimensions can be arbitrary numbers. This is a
* parallel implementation optimized for SMP systems.<br>
* <br>
* Part of 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 DoubleDHT_3D
{
private int slices;
private long slicesl;
private int rows;
private long rowsl;
private int columns;
private long columnsl;
private int sliceStride;
private long sliceStridel;
private int rowStride;
private long rowStridel;
private DoubleDHT_1D dhtSlices, dhtRows, dhtColumns;
private boolean isPowerOfTwo = false;
private boolean useThreads = false;
/**
* Creates new instance of DoubleDHT_3D.
*
* @param slices number of slices
* @param rows number of rows
* @param columns number of columns
*/
public DoubleDHT_3D(long slices, long rows, long columns)
{
if (slices <= 1 || rows <= 1 || columns <= 1) {
throw new IllegalArgumentException("slices, rows and columns must be greater than 1");
}
this.slices = (int) slices;
this.rows = (int) rows;
this.columns = (int) columns;
this.slicesl = slices;
this.rowsl = rows;
this.columnsl = columns;
this.sliceStride = (int) (rows * columns);
this.rowStride = (int) columns;
this.sliceStridel = rows * columns;
this.rowStridel = columns;
if (slices * rows * columns >= CommonUtils.getThreadsBeginN_3D()) {
this.useThreads = true;
}
if (CommonUtils.isPowerOf2(slices) && CommonUtils.isPowerOf2(rows) && CommonUtils.isPowerOf2(columns)) {
isPowerOfTwo = true;
}
CommonUtils.setUseLargeArrays(slices * rows * columns > LargeArray.getMaxSizeOf32bitArray());
dhtSlices = new DoubleDHT_1D(slices);
if (slices == rows) {
dhtRows = dhtSlices;
} else {
dhtRows = new DoubleDHT_1D(rows);
}
if (slices == columns) {
dhtColumns = dhtSlices;
} else if (rows == columns) {
dhtColumns = dhtRows;
} else {
dhtColumns = new DoubleDHT_1D(columns);
}
}
/**
* Computes the 3D real, forward DHT leaving the result in <code>a</code>.
* The data is stored in 1D array addressed in slice-major, then row-major,
* then column-major, in order of significance, i.e. the element (i,j,k) of
* 3D array x[slices][rows][columns] is stored in a[i*sliceStride +
* j*rowStride + k], where sliceStride = rows * columns and rowStride =
* columns.
*
* @param a data to transform
*/
public void forward(final double[] a)
{
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if (isPowerOfTwo) {
if ((nthreads > 1) && useThreads) {
ddxt3da_subth(-1, a, true);
ddxt3db_subth(-1, a, true);
} else {
ddxt3da_sub(-1, a, true);
ddxt3db_sub(-1, a, true);
}
yTransform(a);
} else {
if ((nthreads > 1) && useThreads && (slices >= nthreads) && (rows >= nthreads) && (columns >= nthreads)) {
Future<?>[] futures = new Future[nthreads];
int p = slices / nthreads;
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
for (int s = firstSlice; s < lastSlice; s++) {
int idx1 = s * sliceStride;
for (int r = 0; r < rows; r++) {
dhtColumns.forward(a, idx1 + r * rowStride);
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[rows];
for (int s = firstSlice; s < lastSlice; s++) {
int idx1 = s * sliceStride;
for (int c = 0; c < columns; c++) {
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
temp[r] = a[idx3];
}
dhtRows.forward(temp);
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
a[idx3] = temp[r];
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
p = rows / nthreads;
for (int l = 0; l < nthreads; l++) {
final int startRow = l * p;
final int stopRow;
if (l == nthreads - 1) {
stopRow = rows;
} else {
stopRow = startRow + p;
}
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[slices];
for (int r = startRow; r < stopRow; r++) {
int idx1 = r * rowStride;
for (int c = 0; c < columns; c++) {
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
temp[s] = a[idx3];
}
dhtSlices.forward(temp);
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
a[idx3] = temp[s];
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
} else {
for (int s = 0; s < slices; s++) {
int idx1 = s * sliceStride;
for (int r = 0; r < rows; r++) {
dhtColumns.forward(a, idx1 + r * rowStride);
}
}
double[] temp = new double[rows];
for (int s = 0; s < slices; s++) {
int idx1 = s * sliceStride;
for (int c = 0; c < columns; c++) {
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
temp[r] = a[idx3];
}
dhtRows.forward(temp);
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
a[idx3] = temp[r];
}
}
}
temp = new double[slices];
for (int r = 0; r < rows; r++) {
int idx1 = r * rowStride;
for (int c = 0; c < columns; c++) {
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
temp[s] = a[idx3];
}
dhtSlices.forward(temp);
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
a[idx3] = temp[s];
}
}
}
}
yTransform(a);
}
}
/**
* Computes the 3D real, forward DHT leaving the result in <code>a</code>.
* The data is stored in 1D array addressed in slice-major, then row-major,
* then column-major, in order of significance, i.e. the element (i,j,k) of
* 3D array x[slices][rows][columns] is stored in a[i*sliceStride +
* j*rowStride + k], where sliceStride = rows * columns and rowStride =
* columns.
*
* @param a data to transform
*/
public void forward(final DoubleLargeArray a)
{
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if (isPowerOfTwo) {
if ((nthreads > 1) && useThreads) {
ddxt3da_subth(-1, a, true);
ddxt3db_subth(-1, a, true);
} else {
ddxt3da_sub(-1, a, true);
ddxt3db_sub(-1, a, true);
}
yTransform(a);
} else {
if ((nthreads > 1) && useThreads && (slicesl >= nthreads) && (rowsl >= nthreads) && (columnsl >= nthreads)) {
Future<?>[] futures = new Future[nthreads];
long p = slicesl / nthreads;
for (int l = 0; l < nthreads; l++) {
final long firstSlice = l * p;
final long lastSlice = (l == (nthreads - 1)) ? slicesl : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
for (long s = firstSlice; s < lastSlice; s++) {
long idx1 = s * sliceStride;
for (long r = 0; r < rowsl; r++) {
dhtColumns.forward(a, idx1 + r * rowStride);
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
for (int l = 0; l < nthreads; l++) {
final long firstSlice = l * p;
final long lastSlice = (l == (nthreads - 1)) ? slicesl : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
DoubleLargeArray temp = new DoubleLargeArray(rowsl, false);
for (long s = firstSlice; s < lastSlice; s++) {
long idx1 = s * sliceStride;
for (long c = 0; c < columnsl; c++) {
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStride + c;
temp.setDouble(r, a.getDouble(idx3));
}
dhtRows.forward(temp);
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStride + c;
a.setDouble(idx3, temp.getDouble(r));
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
p = rowsl / nthreads;
for (int l = 0; l < nthreads; l++) {
final long startRow = l * p;
final long stopRow;
if (l == nthreads - 1) {
stopRow = rowsl;
} else {
stopRow = startRow + p;
}
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
DoubleLargeArray temp = new DoubleLargeArray(slicesl, false);
for (long r = startRow; r < stopRow; r++) {
long idx1 = r * rowStride;
for (long c = 0; c < columnsl; c++) {
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStride + idx1 + c;
temp.setDouble(s, a.getDouble(idx3));
}
dhtSlices.forward(temp);
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStride + idx1 + c;
a.setDouble(idx3, temp.getDouble(s));
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
} else {
for (long s = 0; s < slicesl; s++) {
long idx1 = s * sliceStride;
for (long r = 0; r < rowsl; r++) {
dhtColumns.forward(a, idx1 + r * rowStride);
}
}
DoubleLargeArray temp = new DoubleLargeArray(rowsl, false);
for (long s = 0; s < slicesl; s++) {
long idx1 = s * sliceStride;
for (long c = 0; c < columnsl; c++) {
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStride + c;
temp.setDouble(r, a.getDouble(idx3));
}
dhtRows.forward(temp);
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStride + c;
a.setDouble(idx3, temp.getDouble(r));
}
}
}
temp = new DoubleLargeArray(slicesl, false);
for (long r = 0; r < rowsl; r++) {
long idx1 = r * rowStride;
for (long c = 0; c < columnsl; c++) {
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStride + idx1 + c;
temp.setDouble(s, a.getDouble(idx3));
}
dhtSlices.forward(temp);
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStride + idx1 + c;
a.setDouble(idx3, temp.getDouble(s));
}
}
}
}
yTransform(a);
}
}
/**
* Computes the 3D real, forward DHT leaving the result in <code>a</code>.
* The data is stored in 3D array.
*
* @param a data to transform
*/
public void forward(final double[][][] a)
{
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if (isPowerOfTwo) {
if ((nthreads > 1) && useThreads) {
ddxt3da_subth(-1, a, true);
ddxt3db_subth(-1, a, true);
} else {
ddxt3da_sub(-1, a, true);
ddxt3db_sub(-1, a, true);
}
yTransform(a);
} else {
if ((nthreads > 1) && useThreads && (slices >= nthreads) && (rows >= nthreads) && (columns >= nthreads)) {
Future<?>[] futures = new Future[nthreads];
int p = slices / nthreads;
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
for (int s = firstSlice; s < lastSlice; s++) {
for (int r = 0; r < rows; r++) {
dhtColumns.forward(a[s][r]);
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[rows];
for (int s = firstSlice; s < lastSlice; s++) {
for (int c = 0; c < columns; c++) {
for (int r = 0; r < rows; r++) {
temp[r] = a[s][r][c];
}
dhtRows.forward(temp);
for (int r = 0; r < rows; r++) {
a[s][r][c] = temp[r];
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
p = rows / nthreads;
for (int l = 0; l < nthreads; l++) {
final int firstRow = l * p;
final int lastRow = (l == (nthreads - 1)) ? rows : firstRow + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[slices];
for (int r = firstRow; r < lastRow; r++) {
for (int c = 0; c < columns; c++) {
for (int s = 0; s < slices; s++) {
temp[s] = a[s][r][c];
}
dhtSlices.forward(temp);
for (int s = 0; s < slices; s++) {
a[s][r][c] = temp[s];
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
} else {
for (int s = 0; s < slices; s++) {
for (int r = 0; r < rows; r++) {
dhtColumns.forward(a[s][r]);
}
}
double[] temp = new double[rows];
for (int s = 0; s < slices; s++) {
for (int c = 0; c < columns; c++) {
for (int r = 0; r < rows; r++) {
temp[r] = a[s][r][c];
}
dhtRows.forward(temp);
for (int r = 0; r < rows; r++) {
a[s][r][c] = temp[r];
}
}
}
temp = new double[slices];
for (int r = 0; r < rows; r++) {
for (int c = 0; c < columns; c++) {
for (int s = 0; s < slices; s++) {
temp[s] = a[s][r][c];
}
dhtSlices.forward(temp);
for (int s = 0; s < slices; s++) {
a[s][r][c] = temp[s];
}
}
}
}
yTransform(a);
}
}
/**
* Computes the 3D real, inverse DHT leaving the result in <code>a</code>.
* The data is stored in 1D array addressed in slice-major, then row-major,
* then column-major, in order of significance, i.e. the element (i,j,k) of
* 3D array x[slices][rows][columns] is stored in a[i*sliceStride +
* j*rowStride + k], where sliceStride = rows * columns and rowStride =
* columns.
*
* @param a data to transform
* @param scale if true then scaling is performed
*/
public void inverse(final double[] a, final boolean scale)
{
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if (isPowerOfTwo) {
if ((nthreads > 1) && useThreads) {
ddxt3da_subth(1, a, scale);
ddxt3db_subth(1, a, scale);
} else {
ddxt3da_sub(1, a, scale);
ddxt3db_sub(1, a, scale);
}
yTransform(a);
} else {
if ((nthreads > 1) && useThreads && (slices >= nthreads) && (rows >= nthreads) && (columns >= nthreads)) {
Future<?>[] futures = new Future[nthreads];
int p = slices / nthreads;
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
for (int s = firstSlice; s < lastSlice; s++) {
int idx1 = s * sliceStride;
for (int r = 0; r < rows; r++) {
dhtColumns.inverse(a, idx1 + r * rowStride, scale);
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[rows];
for (int s = firstSlice; s < lastSlice; s++) {
int idx1 = s * sliceStride;
for (int c = 0; c < columns; c++) {
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
temp[r] = a[idx3];
}
dhtRows.inverse(temp, scale);
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
a[idx3] = temp[r];
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
p = rows / nthreads;
for (int l = 0; l < nthreads; l++) {
final int firstRow = l * p;
final int lastRow = (l == (nthreads - 1)) ? rows : firstRow + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[slices];
for (int r = firstRow; r < lastRow; r++) {
int idx1 = r * rowStride;
for (int c = 0; c < columns; c++) {
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
temp[s] = a[idx3];
}
dhtSlices.inverse(temp, scale);
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
a[idx3] = temp[s];
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
} else {
for (int s = 0; s < slices; s++) {
int idx1 = s * sliceStride;
for (int r = 0; r < rows; r++) {
dhtColumns.inverse(a, idx1 + r * rowStride, scale);
}
}
double[] temp = new double[rows];
for (int s = 0; s < slices; s++) {
int idx1 = s * sliceStride;
for (int c = 0; c < columns; c++) {
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
temp[r] = a[idx3];
}
dhtRows.inverse(temp, scale);
for (int r = 0; r < rows; r++) {
int idx3 = idx1 + r * rowStride + c;
a[idx3] = temp[r];
}
}
}
temp = new double[slices];
for (int r = 0; r < rows; r++) {
int idx1 = r * rowStride;
for (int c = 0; c < columns; c++) {
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
temp[s] = a[idx3];
}
dhtSlices.inverse(temp, scale);
for (int s = 0; s < slices; s++) {
int idx3 = s * sliceStride + idx1 + c;
a[idx3] = temp[s];
}
}
}
}
yTransform(a);
}
}
/**
* Computes the 3D real, inverse DHT leaving the result in <code>a</code>.
* The data is stored in 1D array addressed in slice-major, then row-major,
* then column-major, in order of significance, i.e. the element (i,j,k) of
* 3D array x[slices][rows][columns] is stored in a[i*sliceStride +
* j*rowStride + k], where sliceStride = rows * columns and rowStride =
* columns.
*
* @param a data to transform
* @param scale if true then scaling is performed
*/
public void inverse(final DoubleLargeArray a, final boolean scale)
{
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if (isPowerOfTwo) {
if ((nthreads > 1) && useThreads) {
ddxt3da_subth(1, a, scale);
ddxt3db_subth(1, a, scale);
} else {
ddxt3da_sub(1, a, scale);
ddxt3db_sub(1, a, scale);
}
yTransform(a);
} else {
if ((nthreads > 1) && useThreads && (slicesl >= nthreads) && (rowsl >= nthreads) && (columnsl >= nthreads)) {
Future<?>[] futures = new Future[nthreads];
long p = slicesl / nthreads;
for (int l = 0; l < nthreads; l++) {
final long firstSlice = l * p;
final long lastSlice = (l == (nthreads - 1)) ? slicesl : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
for (long s = firstSlice; s < lastSlice; s++) {
long idx1 = s * sliceStridel;
for (long r = 0; r < rowsl; r++) {
dhtColumns.inverse(a, idx1 + r * rowStridel, scale);
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
for (int l = 0; l < nthreads; l++) {
final long firstSlice = l * p;
final long lastSlice = (l == (nthreads - 1)) ? slicesl : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
DoubleLargeArray temp = new DoubleLargeArray(rowsl, false);
for (long s = firstSlice; s < lastSlice; s++) {
long idx1 = s * sliceStridel;
for (long c = 0; c < columnsl; c++) {
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStridel + c;
temp.setDouble(r, a.getDouble(idx3));
}
dhtRows.inverse(temp, scale);
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStridel + c;
a.setDouble(idx3, temp.getDouble(r));
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
p = rowsl / nthreads;
for (int l = 0; l < nthreads; l++) {
final long firstRow = l * p;
final long lastRow = (l == (nthreads - 1)) ? rowsl : firstRow + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
DoubleLargeArray temp = new DoubleLargeArray(slicesl, false);
for (long r = firstRow; r < lastRow; r++) {
long idx1 = r * rowStridel;
for (long c = 0; c < columnsl; c++) {
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStridel + idx1 + c;
temp.setDouble(s, a.getDouble(idx3));
}
dhtSlices.inverse(temp, scale);
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStridel + idx1 + c;
a.setDouble(idx3, temp.getDouble(s));
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
} else {
for (long s = 0; s < slicesl; s++) {
long idx1 = s * sliceStridel;
for (long r = 0; r < rowsl; r++) {
dhtColumns.inverse(a, idx1 + r * rowStridel, scale);
}
}
DoubleLargeArray temp = new DoubleLargeArray(rowsl, false);
for (long s = 0; s < slicesl; s++) {
long idx1 = s * sliceStridel;
for (long c = 0; c < columnsl; c++) {
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStridel + c;
temp.setDouble(r, a.getDouble(idx3));
}
dhtRows.inverse(temp, scale);
for (long r = 0; r < rowsl; r++) {
long idx3 = idx1 + r * rowStridel + c;
a.setDouble(idx3, temp.getDouble(r));
}
}
}
temp = new DoubleLargeArray(slicesl, false);
for (long r = 0; r < rowsl; r++) {
long idx1 = r * rowStridel;
for (long c = 0; c < columnsl; c++) {
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStridel + idx1 + c;
temp.setDouble(s, a.getDouble(idx3));
}
dhtSlices.inverse(temp, scale);
for (long s = 0; s < slicesl; s++) {
long idx3 = s * sliceStridel + idx1 + c;
a.setDouble(idx3, temp.getDouble(s));
}
}
}
}
yTransform(a);
}
}
/**
* Computes the 3D real, inverse DHT leaving the result in <code>a</code>.
* The data is stored in 3D array.
*
* @param a data to transform
* @param scale if true then scaling is performed
*/
public void inverse(final double[][][] a, final boolean scale)
{
int nthreads = ConcurrencyUtils.getNumberOfThreads();
if (isPowerOfTwo) {
if ((nthreads > 1) && useThreads) {
ddxt3da_subth(1, a, scale);
ddxt3db_subth(1, a, scale);
} else {
ddxt3da_sub(1, a, scale);
ddxt3db_sub(1, a, scale);
}
yTransform(a);
} else {
if ((nthreads > 1) && useThreads && (slices >= nthreads) && (rows >= nthreads) && (columns >= nthreads)) {
Future<?>[] futures = new Future[nthreads];
int p = slices / nthreads;
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
for (int s = firstSlice; s < lastSlice; s++) {
for (int r = 0; r < rows; r++) {
dhtColumns.inverse(a[s][r], scale);
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
for (int l = 0; l < nthreads; l++) {
final int firstSlice = l * p;
final int lastSlice = (l == (nthreads - 1)) ? slices : firstSlice + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[rows];
for (int s = firstSlice; s < lastSlice; s++) {
for (int c = 0; c < columns; c++) {
for (int r = 0; r < rows; r++) {
temp[r] = a[s][r][c];
}
dhtRows.inverse(temp, scale);
for (int r = 0; r < rows; r++) {
a[s][r][c] = temp[r];
}
}
}
}
});
}
try {
ConcurrencyUtils.waitForCompletion(futures);
} catch (InterruptedException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
} catch (ExecutionException ex) {
Logger.getLogger(DoubleDHT_3D.class.getName()).log(Level.SEVERE, null, ex);
}
p = rows / nthreads;
for (int l = 0; l < nthreads; l++) {
final int firstRow = l * p;
final int lastRow = (l == (nthreads - 1)) ? rows : firstRow + p;
futures[l] = ConcurrencyUtils.submit(new Runnable()
{
public void run()
{
double[] temp = new double[slices];
for (int r = firstRow; r < lastRow; r++) {
for (int c = 0; c < columns; c++) {
for (int s = 0; s < slices; s++) {
temp[s] = a[s][r][c];
}
dhtSlices.inverse(temp, scale);