Java Code Examples for org.apache.commons.math3.exception.util.LocalizedFormats#FIRST_ELEMENT_NOT_ZERO

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Example 1
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 *   not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}
 
Example 2
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 *   not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}
 
Example 3
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 * not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}
 
Example 4
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 *   not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}
 
Example 5
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 * not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}
 
Example 6
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 *   not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}
 
Example 7
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 *   not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}
 
Example 8
Source File: FastSineTransformer.java    From astor with GNU General Public License v2.0 4 votes vote down vote up
/**
 * Perform the FST algorithm (including inverse). The first element of the
 * data set is required to be {@code 0}.
 *
 * @param f the real data array to be transformed
 * @return the real transformed array
 * @throws MathIllegalArgumentException if the length of the data array is
 *   not a power of two, or the first element of the data array is not zero
 */
protected double[] fst(double[] f) throws MathIllegalArgumentException {

    final double[] transformed = new double[f.length];

    if (!ArithmeticUtils.isPowerOfTwo(f.length)) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.NOT_POWER_OF_TWO_CONSIDER_PADDING,
                Integer.valueOf(f.length));
    }
    if (f[0] != 0.0) {
        throw new MathIllegalArgumentException(
                LocalizedFormats.FIRST_ELEMENT_NOT_ZERO,
                Double.valueOf(f[0]));
    }
    final int n = f.length;
    if (n == 1) {       // trivial case
        transformed[0] = 0.0;
        return transformed;
    }

    // construct a new array and perform FFT on it
    final double[] x = new double[n];
    x[0] = 0.0;
    x[n >> 1] = 2.0 * f[n >> 1];
    for (int i = 1; i < (n >> 1); i++) {
        final double a = FastMath.sin(i * FastMath.PI / n) * (f[i] + f[n - i]);
        final double b = 0.5 * (f[i] - f[n - i]);
        x[i]     = a + b;
        x[n - i] = a - b;
    }
    FastFourierTransformer transformer;
    transformer = new FastFourierTransformer(DftNormalization.STANDARD);
    Complex[] y = transformer.transform(x, TransformType.FORWARD);

    // reconstruct the FST result for the original array
    transformed[0] = 0.0;
    transformed[1] = 0.5 * y[0].getReal();
    for (int i = 1; i < (n >> 1); i++) {
        transformed[2 * i]     = -y[i].getImaginary();
        transformed[2 * i + 1] = y[i].getReal() + transformed[2 * i - 1];
    }

    return transformed;
}