Package com.opengamma.analytics.math.number

Examples of com.opengamma.analytics.math.number.ComplexNumber

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  public static ComplexNumber sin(final ComplexNumber z) {
    Validate.notNull(z, "z");
    final double x = z.getReal();
    final double y = z.getImaginary();
    return new ComplexNumber(Math.sin(x) * Math.cosh(y), Math.cos(x) * Math.sinh(y));
  }
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    return Math.sinh(x);
  }

  public static ComplexNumber sinh(final ComplexNumber z) {
    Validate.notNull(z, "z");
    return new ComplexNumber(Math.sinh(z.getReal()) * Math.cos(z.getImaginary()), Math.cosh(z.getReal()) * Math.sin(z.getImaginary()));
  }
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  public static double tan(final double x) {
    return Math.tan(x);
  }

  public static ComplexNumber tan(final ComplexNumber z) {
    final ComplexNumber b = ComplexMathUtils.exp(ComplexMathUtils.multiply(ComplexMathUtils.multiply(I, 2), z));
    return ComplexMathUtils.divide(ComplexMathUtils.subtract(b, 1), ComplexMathUtils.multiply(I, ComplexMathUtils.add(b, 1)));
  }
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  public static double tanh(final double x) {
    return Math.tanh(x);
  }

  public static ComplexNumber tanh(final ComplexNumber z) {
    final ComplexNumber z2 = ComplexMathUtils.exp(z);
    final ComplexNumber z3 = ComplexMathUtils.exp(ComplexMathUtils.multiply(z, -1));
    return ComplexMathUtils.divide(ComplexMathUtils.subtract(z2, z3), ComplexMathUtils.add(z2, z3));
  }
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    final double qCb = q * q * q;
    final double constant = a / 3;
    if (rSq < qCb) {
      final double mult = -2 * Math.sqrt(q);
      final double theta = Math.acos(r / Math.sqrt(qCb));
      return new ComplexNumber[] {new ComplexNumber(mult * Math.cos(theta / 3) - constant, 0), new ComplexNumber(mult * Math.cos((theta + TWO_PI) / 3) - constant, 0),
        new ComplexNumber(mult * Math.cos((theta - TWO_PI) / 3) - constant, 0)};
    }
    final double s = -Math.signum(r) * Math.cbrt(Math.abs(r) + Math.sqrt(rSq - qCb));
    final double t = CompareUtils.closeEquals(s, 0, 1e-16) ? 0 : q / s;
    final double sum = s + t;
    final double real = -0.5 * sum - constant;
    final double imaginary = Math.sqrt(3) * (s - t) / 2;
    return new ComplexNumber[] {new ComplexNumber(sum - constant, 0), new ComplexNumber(real, imaginary), new ComplexNumber(real, -imaginary)};
  }
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