List of usage examples for org.apache.commons.math3.complex Complex valueOf
public static Complex valueOf(double realPart, double imaginaryPart)
From source file:com.wwidesigner.geometry.calculation.DefaultHoleCalculator.java
public TransferMatrix calcTransferMatrix_2010(Hole hole, boolean isOpen, double waveNumber, PhysicalParameters parameters) { double radius = mFudgeFactor * hole.getDiameter() / 2; double boreRadius = hole.getBoreDiameter() / 2; Complex Zs = null;//w ww. j a v a 2 s . co m Complex Za = null; // double Z0 = parameters.calcZ0(boreRadius); double Z0h = parameters.calcZ0(radius); double delta = radius / boreRadius; double tm = (radius * delta / 8.) * (1. + 0.207 * delta * delta * delta); double te = hole.getHeight() + tm; double ta = 0.; // Complex Gamma = Complex.I.multiply(wave_number); if (isOpen) // open { double kb = waveNumber * radius; double ka = waveNumber * boreRadius; double xhi = 0.25 * kb * kb; ta = (-0.35 + 0.06 * Math.tanh(2.7 * hole.getHeight() / radius)) * radius * delta * delta * delta * delta; Complex Zr = Complex.I.multiply(waveNumber * 0.61 * radius).add(xhi); Complex Zo = (Zr.multiply(Math.cos(waveNumber * te)).add(Complex.I.multiply(Math.sin(waveNumber * te)))) .divide(Complex.I.multiply(Zr).multiply(Math.sin(waveNumber * te)) .add(Math.cos(waveNumber * te))); double ti = radius * (0.822 - 0.10 * delta - 1.57 * delta * delta + 2.14 * delta * delta * delta - 1.6 * delta * delta * delta * delta + 0.50 * delta * delta * delta * delta * delta) * (1. + (1. - 4.56 * delta + 6.55 * delta * delta) * (0.17 * ka + 0.92 * ka * ka + 0.16 * ka * ka * ka - 0.29 * ka * ka * ka * ka)); Zs = Complex.I.multiply(waveNumber * ti).add(Zo).multiply(Z0h); } else { ta = (-0.12 - 0.17 * Math.tanh(2.4 * hole.getHeight() / radius)) * radius * delta * delta * delta * delta; Zs = Complex.valueOf(0, -Z0h / Math.tan(waveNumber * te)); } Za = Complex.I.multiply(Z0h * waveNumber * ta); Complex Za_Zs = Za.divide(Zs); TransferMatrix result = new TransferMatrix(Za_Zs.divide(2.).add(1.), Za.multiply(Za_Zs.divide(4.).add(1.)), Complex.ONE.divide(Zs), Za_Zs.divide(2.0).add(1.)); assert result.determinant() == Complex.ONE; return result; }
From source file:net.sf.dsp4j.octave.packages.signal_1_2_0.NCauer.java
public NCauer(double Rp, double Rs, int n) { // Cutoff frequency = 1: double wp = 1; // Stop band edge ws: double ws = __ellip_ws(n, Rp, Rs); double k = wp / ws; double k1 = Math.sqrt(1.0 - Math.pow(k, 2)); double q0 = (1.0 / 2.0) * ((1.0 - Math.sqrt(k1)) / (1 + Math.sqrt(k1))); double q = q0 + 2.0 * Math.pow(q0, 5) + 15.0 * Math.pow(q0, 9) + 150.0 * Math.pow(q0, 13); //%(....) double D = (Math.pow(10, 0.1 * Rs) - 1.0) / (Math.pow(10, (0.1 * Rp)) - 1.0); //Filter order maybe this, but not used now: //n=ceil(log10(16*D)/log10(1/q)) double l = (1.0 / (2.0 * n)) * Math.log((Math.pow(10, 0.05 * Rp) + 1.0) / (Math.pow(10, 0.05 * Rp) - 1.0)); double sig01 = 0; double sig02 = 0; for (int m = 0; m <= 30; m++) { sig01 = sig01 + Math.pow((-1), m) * Math.pow(q, (m * (m + 1))) * Math.sinh((2 * m + 1) * l); }// w w w .ja v a 2 s . c om for (int m = 1; m <= 30; m++) { sig02 = sig02 + Math.pow(-1.0, m) * Math.pow(q, (Math.pow(m, 2))) * Math.cosh(2 * m * l); } double sig0 = Math.abs((2.0 * Math.pow(q, (1.0 / 4.0)) * sig01) / (1.0 + 2.0 * sig02)); double w = Math.sqrt((1.0 + k * Math.pow(sig0, 2)) * (1.0 + Math.pow(sig0, 2) / k)); int r; if (n % 2 != 0) { r = (n - 1) / 2; } else { r = n / 2; } double[] wi = new double[r]; for (int ii = 1; ii <= r; ii++) { double mu; if (n % 2 != 0) { mu = ii; } else { mu = (double) ii - 0.5; } double soma1 = 0; for (int m = 0; m <= 30; m++) { soma1 = soma1 + 2.0 * Math.pow(q, (1.0 / 4.0)) * (Math.pow(-1.0, m) * Math.pow(q, (m * (m + 1))) * Math.sin(((2.0 * m + 1.0) * Math.PI * mu) / n)); } double soma2 = 0; for (int m = 1; m <= 30; m++) { soma2 = soma2 + 2.0 * (Math.pow(-1.0, m) * Math.pow(q, (Math.pow(m, 2))) * Math.cos((2.0 * m * Math.PI * mu) / n)); } wi[ii - 1] = (soma1 / (1.0 + soma2)); } double[] Vi = new double[wi.length]; for (int i = 0; i < wi.length; i++) { Vi[i] = Math.sqrt((1.0 - (k * (Math.pow(wi[i], 2)))) * (1.0 - (Math.pow(wi[i], 2)) / k)); } double[] A0i = new double[wi.length]; for (int i = 0; i < wi.length; i++) { A0i[i] = 1.0 / (Math.pow(wi[i], 2)); } double[] sqrA0i = new double[wi.length]; for (int i = 0; i < wi.length; i++) { sqrA0i[i] = 1.0 / wi[i]; } double[] B0i = new double[wi.length]; for (int i = 0; i < wi.length; i++) { B0i[i] = (Math.pow((sig0 * Vi[i]), 2) + Math.pow((w * wi[i]), 2)) / Math.pow((1.0 + Math.pow(sig0, 2) * Math.pow(wi[i], 2)), 2); } double C01; if (wi.length == 0) { C01 = 1.0; } else { C01 = B0i[0] / A0i[0]; for (int i = 1; i < wi.length; i++) { C01 *= B0i[i] / A0i[i]; } } //Gain T0: if (n % 2 != 0) { T0 = sig0 * C01 * Math.sqrt(ws); } else { T0 = Math.pow(10, (-0.05 * Rp)) * C01; } //zeros: zer = new Complex[sqrA0i.length * 2]; for (int i = 0; i < sqrA0i.length; i++) { zer[i] = Complex.valueOf(0.0, sqrA0i[i]); zer[i + sqrA0i.length] = Complex.valueOf(0.0, -sqrA0i[i]); } //poles: pol = new Complex[Vi.length * 2]; for (int i = 0; i < Vi.length; i++) { pol[i] = new Complex(-2.0 * sig0 * Vi[i], 2.0 * wi[i] * w) .divide(2.0 * (1 + Math.pow(sig0, 2) * Math.pow(wi[i], 2))); pol[i + Vi.length] = new Complex(-2.0 * sig0 * Vi[i], -2.0 * wi[i] * w) .divide(2.0 * (1 + Math.pow(sig0, 2) * Math.pow(wi[i], 2))); } //If n odd, there is a real pole -sig0: if (n % 2 != 0) { pol = Arrays.copyOf(pol, pol.length + 1); pol[pol.length - 1] = new Complex(-sig0); } for (int i = 0; i < pol.length; i++) { pol[i] = pol[i].multiply(Math.sqrt(ws)); } for (int i = 0; i < zer.length; i++) { zer[i] = zer[i].multiply(Math.sqrt(ws)); } }
From source file:com.wwidesigner.geometry.calculation.DefaultHoleCalculator.java
@Override public TransferMatrix calcTransferMatrix(Hole hole, boolean isOpen, double waveNumber, PhysicalParameters parameters) { double radius = mFudgeFactor * hole.getDiameter() / 2; double boreRadius = hole.getBoreDiameter() / 2; Complex Ys = Complex.ZERO; // Shunt admittance == 1/Zs Complex Za = Complex.ZERO; // Series impedance double Z0h = parameters.calcZ0(radius); double delta = radius / boreRadius; double delta2 = delta * delta; // double Z0 = parameters.calcZ0(boreRadius); // Z0 == Z0h * delta*delta double tm = (radius * delta / 8.) * (1. + 0.207 * delta * delta2); double te = hole.getHeight() + tm; double ta = 0.; // Complex Gamma = Complex.I.multiply(wave_number); if (isOpen) { double kb = waveNumber * radius; double ka = waveNumber * boreRadius; ta = (-0.35 + 0.06 * FastMath.tanh(2.7 * hole.getHeight() / radius)) * radius * delta2; Complex Zr = new Complex(0.25 * kb * kb, (0.822 - 0.47 * FastMath.pow(radius / (boreRadius + hole.getHeight()), 0.8)) * waveNumber * radius);/*from w w w . java2 s . com*/ double cos = FastMath.cos(waveNumber * te); Complex jsin = new Complex(0, FastMath.sin(waveNumber * te)); Complex Zo = (Zr.multiply(cos).add(jsin)).divide(Zr.multiply(jsin).add(cos)); double ti = radius * (0.822 + delta * (-0.095 + delta * (-1.566 + delta * (2.138 + delta * (-1.640 + delta * 0.502))))) * (1. + (1. - 4.56 * delta + 6.55 * delta2) * ka * (0.17 + ka * (0.92 + ka * (0.16 - 0.29 * ka)))); Ys = Complex.ONE.divide(Complex.I.multiply(waveNumber * ti).add(Zo).multiply(Z0h)); } else if (hole.getKey() == null) { // Tonehole closed by player's finger. if (hole.getHeight() <= AssumedFingerSize) { // Finger is likely to fill the hole. Ignore the hole entirely. ta = 0.; Ys = Complex.ZERO; } else { ta = (-0.12 - 0.17 * FastMath.tanh(2.4 * (hole.getHeight() - AssumedFingerSize) / radius)) * radius * delta2; Ys = Complex.valueOf(0, FastMath.tan(waveNumber * (te - AssumedFingerSize)) / Z0h); } } else { // Tonehole closed by key. ta = (-0.12 - 0.17 * FastMath.tanh(2.4 * hole.getHeight() / radius)) * radius * delta2; Ys = Complex.valueOf(0, FastMath.tan(waveNumber * te) / Z0h); } Za = Complex.I.multiply(Z0h * delta2 * waveNumber * ta); Complex Za_Zs = Za.multiply(Ys); Complex A = Za_Zs.divide(2.).add(1.); Complex B = Za.multiply(Za_Zs.divide(4.).add(1.)); Complex C = Ys; // Choose A and D to make the determinant = 1. // Complex A = Complex.ONE.add(B.multiply(C)).sqrt(); TransferMatrix result = new TransferMatrix(A, B, C, A); // assert result.determinant() == Complex.ONE; return result; }
From source file:com.wwidesigner.util.PhysicalParameters.java
/** * Compute the complex wave vector, allowing for losses. * @param waveNumber : non-lossy wave number, in radians/meter * @param radius : tube radius, in m//from w ww. jav a 2 s . co m * @return omega/v - j * alpha */ public Complex getComplexWaveNumber(double waveNumber, double radius) { double alpha = (1 / radius) * Math.sqrt(waveNumber) * mAlphaConstant; return Complex.I.multiply(waveNumber).add(Complex.valueOf(1, 1).multiply(alpha)); }
From source file:org.briljantframework.array.AbstractComplexArray.java
@Override public void assign(double[] value) { Check.argument(value.length == size() * 2); int j = 0;//from www.java 2 s. co m for (int i = 0; i < size(); i++) { Complex c = Complex.valueOf(value[j], value[j + 1]); j += 2; } }
From source file:org.briljantframework.array.netlib.NetlibLinearAlgebraRoutinesTest.java
@Test public void testGeev() throws Exception { final int n = 5; DoubleArray a = bj.newDoubleVector(-1.01, 3.98, 3.30, 4.43, 7.31, 0.86, 0.53, 8.26, 4.96, -6.43, -4.60, -7.04, -3.89, -7.66, -6.16, 3.31, 5.29, 8.20, -7.33, 2.47, -4.81, 3.55, -1.51, 6.18, 5.58) .reshape(n, n);//from ww w . j av a 2s . com DoubleArray wr = bj.newDoubleArray(n); DoubleArray wi = bj.newDoubleArray(n); DoubleArray vl = bj.newDoubleArray(n, n); DoubleArray vr = bj.newDoubleArray(n, n); linalg.geev('v', 'v', a, wr, wi, vl, vr); ArrayAssert.assertArrayEquals( bj.newComplexVector(Complex.valueOf(2.858132878, 10.7627498307), Complex.valueOf(2.858132878, -10.7627498307), Complex.valueOf(-0.6866745133, 4.7042613406), Complex.valueOf(-0.6866745133, -4.7042613406), Complex.valueOf(-10.4629167295)), toComplex(wr, wi)); }
From source file:org.briljantframework.array.netlib.NetlibLinearAlgebraRoutinesTest.java
ComplexArray toComplex(DoubleArray r, DoubleArray i) {
ComplexArray c = bj.newComplexArray(r.getShape());
for (int j = 0; j < r.size(); j++) {
c.set(j, Complex.valueOf(r.get(j), i.get(j)));
}/*from w ww .j a va 2 s . c om*/
return c;
}
From source file:org.briljantframework.complex.MutableComplex.java
public Complex toComplex() { return Double.isNaN(real) || Double.isNaN(imag) ? Complex.NaN : Complex.valueOf(real, imag); }
From source file:org.briljantframework.math.transform.DiscreteFourierTransform.java
private static void transformBluestein(ComplexArray a) { // Find a power-of-2 convolution length m such that m >= n * 2 + 1 int n = a.size(); if (n >= 0x20000000) { // n >= 536870912 throw new IllegalArgumentException(""); }// w w w . j a v a 2 s . com int m = Integer.highestOneBit(n * 2 + 1) << 1; // Trigonometric tables DoubleArray cosTable = DoubleArray.zeros(n); DoubleArray sinTable = DoubleArray.zeros(n); for (int i = 0; i < n; i++) { int j = (int) ((long) i * i % (n * 2)); cosTable.set(i, Math.cos(Math.PI * j / n)); sinTable.set(i, Math.sin(Math.PI * j / n)); } ComplexArray an = ComplexArray.zeros(m); ComplexArray bn = ComplexArray.zeros(m); bn.set(0, new Complex(cosTable.get(0), sinTable.get(0))); for (int i = 0; i < n; i++) { double cos = cosTable.get(i); double sin = sinTable.get(i); Complex complex = a.get(i); double real = complex.getReal() * cos + complex.getImaginary() * sin; double imag = -complex.getReal() * sin + complex.getImaginary() * cos; an.set(i, new Complex(real, imag)); int j = i + 1; if (j < n) { Complex bcVal = Complex.valueOf(cosTable.get(j), sinTable.get(j)); bn.set(j, bcVal); bn.set(m - j, bcVal); } } // Convolution ComplexArray cc = convolve(an, bn); for (int i = 0; i < n; i++) { double cos = cosTable.get(i); double sin = sinTable.get(i); Complex cv = cc.get(i); double real = cv.getReal() * cos + cv.getImaginary() * sin; double imag = -cv.getReal() * sin + cv.getImaginary() * cos; a.set(i, new Complex(real, imag)); } }
From source file:org.briljantframework.math.transform.DiscreteFourierTransform.java
private static ComplexArray convolve(ComplexArray x, ComplexArray y) { int n = x.size(); ComplexArray xt = fft(x);/*from ww w. j a v a 2 s . co m*/ ComplexArray yt = fft(y); for (int i = 0; i < n; i++) { xt.set(i, xt.get(i).multiply(yt.get(i))); } // TODO: 02/12/15 performance for (int i = 0; i < n; i++) { Complex complex = xt.get(i); xt.set(i, new Complex(complex.getImaginary(), complex.getReal())); } fftInplace(xt); // inverse transform, since xt is reversed above for (int i = 0; i < n; i++) { Complex c = xt.get(i); xt.set(i, Complex.valueOf(c.getImaginary() / n, c.getReal() / n)); } return xt; }