Java FastMath.tan方法代碼示例

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/**
 * Calculate the incidence angle
 */
public double getIncidence(int position) {
	double incidenceangle = 0.0;
	try{

     // estimation of incidence angle based on near and range distance values
     double nearincidence = FastMath.toRadians(getIncidenceNear().doubleValue());
     double sataltitude=getSatelliteAltitude();

     double distancerange = sataltitude * FastMath.tan(nearincidence) + position * this.getPixelsize()[0];
     incidenceangle = FastMath.atan(distancerange / sataltitude);
	}catch(Exception e){
		logger.warn("Error calculatiing incidence angle:"+e.getMessage());
	}
    return incidenceangle;
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/**
 * 
 * @param latitude
 * @param ellipseMin 
 * @param ellipseMaj
 * @return calculate the heart radius for a latitude
 */
public static double earthRadiusFromLatitude(double latitude, double ellipseMin,double ellipseMaj ){
	double tan=FastMath.tan(latitude*FastMath.PI/180);
	double ellipseRapp=(ellipseMin/ellipseMaj)*(ellipseMin/ellipseMaj);
	double d=tan*tan;//FastMath.pow(FastMath.tan(latitude*FastMath.PI/180),2);
	double reEarth=ellipseMin*FastMath.sqrt((1+d)/((ellipseRapp*ellipseRapp)+d));
	
	return reEarth;
	
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/**
 * {@inheritDoc}
 *
 * Returns {@code Double.NEGATIVE_INFINITY} when {@code p == 0}
 * and {@code Double.POSITIVE_INFINITY} when {@code p == 1}.
 */
@Override
public double inverseCumulativeProbability(double p) throws OutOfRangeException {
    double ret;
    if (p < 0 || p > 1) {
        throw new OutOfRangeException(p, 0, 1);
    } else if (p == 0) {
        ret = Double.NEGATIVE_INFINITY;
    } else  if (p == 1) {
        ret = Double.POSITIVE_INFINITY;
    } else {
        ret = median + scale * FastMath.tan(FastMath.PI * (p - .5));
    }
    return ret;
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/**
 * Create a new generator.
 *
 * @param generator underlying random generator to use
 * @param alpha Stability parameter. Must be in range (0, 2]
 * @param beta Skewness parameter. Must be in range [-1, 1]
 * @throws NullArgumentException if generator is null
 * @throws OutOfRangeException if {@code alpha <= 0} or {@code alpha > 2}
 * or {@code beta < -1} or {@code beta > 1}
 */
public StableRandomGenerator(final RandomGenerator generator,
                             final double alpha, final double beta)
    throws NullArgumentException, OutOfRangeException {
    if (generator == null) {
        throw new NullArgumentException();
    }

    if (!(alpha > 0d && alpha <= 2d)) {
        throw new OutOfRangeException(LocalizedFormats.OUT_OF_RANGE_LEFT,
                alpha, 0, 2);
    }

    if (!(beta >= -1d && beta <= 1d)) {
        throw new OutOfRangeException(LocalizedFormats.OUT_OF_RANGE_SIMPLE,
                beta, -1, 1);
    }

    this.generator = generator;
    this.alpha = alpha;
    this.beta = beta;
    if (alpha < 2d && beta != 0d) {
        zeta = beta * FastMath.tan(FastMath.PI * alpha / 2);
    } else {
        zeta = 0d;
    }
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/** {@inheritDoc} */
public UnivariateFunction derivative() {
    return new UnivariateFunction() {
        /** {@inheritDoc} */
        public double value(double x) {
            final double tanX = FastMath.tan(x);
            return 1 + tanX * tanX;
        }
    };
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/** {@inheritDoc} */
public double value(double x) {
    return FastMath.tan(x);
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/** {@inheritDoc} */
public SparseGradient tan() {
    final double t = FastMath.tan(value);
    return new SparseGradient(t, 1 + t * t, derivatives);
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/** Compute tangent of a derivative structure.
 * @param operand array holding the operand
 * @param operandOffset offset of the operand in its array
 * @param result array where result must be stored (for
 * tangent the result array <em>cannot</em> be the input
 * array)
 * @param resultOffset offset of the result in its array
 */
public void tan(final double[] operand, final int operandOffset,
                final double[] result, final int resultOffset) {

    // create the function value and derivatives
    final double[] function = new double[1 + order];
    final double t = FastMath.tan(operand[operandOffset]);
    function[0] = t;

    if (order > 0) {

        // the nth order derivative of tan has the form:
        // dn(tan(x)/dxn = P_n(tan(x))
        // where P_n(t) is a degree n+1 polynomial with same parity as n+1
        // P_0(t) = t, P_1(t) = 1 + t^2, P_2(t) = 2 t (1 + t^2) ...
        // the general recurrence relation for P_n is:
        // P_n(x) = (1+t^2) P_(n-1)'(t)
        // as per polynomial parity, we can store coefficients of both P_(n-1) and P_n in the same array
        final double[] p = new double[order + 2];
        p[1] = 1;
        final double t2 = t * t;
        for (int n = 1; n <= order; ++n) {

            // update and evaluate polynomial P_n(t)
            double v = 0;
            p[n + 1] = n * p[n];
            for (int k = n + 1; k >= 0; k -= 2) {
                v = v * t2 + p[k];
                if (k > 2) {
                    p[k - 2] = (k - 1) * p[k - 1] + (k - 3) * p[k - 3];
                } else if (k == 2) {
                    p[0] = p[1];
                }
            }
            if ((n & 0x1) == 0) {
                v *= t;
            }

            function[n] = v;

        }
    }

    // apply function composition
    compose(operand, operandOffset, function, result, resultOffset);

}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/**
 * Generate a random scalar with zero location and unit scale.
 *
 * @return a random scalar with zero location and unit scale
 */
public double nextNormalizedDouble() {
    // we need 2 uniform random numbers to calculate omega and phi
    double omega = -FastMath.log(generator.nextDouble());
    double phi = FastMath.PI * (generator.nextDouble() - 0.5);

    // Normal distribution case (Box-Muller algorithm)
    if (alpha == 2d) {
        return FastMath.sqrt(2d * omega) * FastMath.sin(phi);
    }

    double x;
    // when beta = 0, zeta is zero as well
    // Thus we can exclude it from the formula
    if (beta == 0d) {
        // Cauchy distribution case
        if (alpha == 1d) {
            x = FastMath.tan(phi);
        } else {
            x = FastMath.pow(omega * FastMath.cos((1 - alpha) * phi),
                1d / alpha - 1d) *
                FastMath.sin(alpha * phi) /
                FastMath.pow(FastMath.cos(phi), 1d / alpha);
        }
    } else {
        // Generic stable distribution
        double cosPhi = FastMath.cos(phi);
        // to avoid rounding errors around alpha = 1
        if (FastMath.abs(alpha - 1d) > 1e-8) {
            double alphaPhi = alpha * phi;
            double invAlphaPhi = phi - alphaPhi;
            x = (FastMath.sin(alphaPhi) + zeta * FastMath.cos(alphaPhi)) / cosPhi *
                (FastMath.cos(invAlphaPhi) + zeta * FastMath.sin(invAlphaPhi)) /
                 FastMath.pow(omega * cosPhi, (1 - alpha) / alpha);
        } else {
            double betaPhi = FastMath.PI / 2 + beta * phi;
            x = 2d / FastMath.PI * (betaPhi * FastMath.tan(phi) - beta *
                FastMath.log(FastMath.PI / 2d * omega * cosPhi / betaPhi));

            if (alpha != 1d) {
                x += beta * FastMath.tan(FastMath.PI * alpha / 2);
            }
        }
    }
    return x;
}
 

import org.apache.commons.math3.util.FastMath; //導入方法依賴的package包/類
/**
 * 
 * @param incidenceAngle
 * @param dheight geoid height-geodeticTerrainHeight
 * @param gcp
 * @return	horizontal shift
 */
public static double gcpGrdGeoCorrectionMeters(double incidenceAngle,double height,double geoidHeight){
	
	double dx=(height-geoidHeight)/FastMath.tan(incidenceAngle);
	return dx;
}