ConformalShear.cc

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// -*- lsst-c++ -*-
 
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#include <cmath>
 
#include "lsst/afw/geom/ellipses/ConformalShear.h"
#include "lsst/afw/geom/ellipses/ReducedShear.h"
#include "lsst/afw/geom/ellipses/Distortion.h"
 
namespace lsst {
namespace afw {
namespace geom {
namespace ellipses {
 
double ConformalShear::getAxisRatio() const {
    double e = getE();
    return std::exp(-e);
}
 
ConformalShear& ConformalShear::operator=(Distortion const& other) {
    double delta = other.getE();
    if (delta < 1E-8) {
        _complex = other.getComplex() * (1.0 + delta * delta / 3.0);
    } else {
        double eta = std::atanh(delta);
        _complex = other.getComplex() * eta / delta;
    }
    return *this;
}
 
ConformalShear& ConformalShear::operator=(ReducedShear const& other) {
    double g = other.getE();
    if (g < 1E-8) {
        _complex = other.getComplex() * 2.0 * (1.0 + g * g / 3.0);
    } else {
        double eta = 2.0 * std::atanh(g);
        _complex = other.getComplex() * eta / g;
    }
    return *this;
}
 
detail::EllipticityBase::Jacobian ConformalShear::dAssign(Distortion const& other) {
    Jacobian result = Jacobian::Zero();
    double delta = other.getE();
    double alpha, beta;
    if (delta < 1E-8) {
        alpha = 1.0 + delta * delta / 3.0;
        beta = 2.0 / 3.0;
    } else {
        double eta = std::atanh(delta);
        alpha = eta / delta;
        beta = (1.0 / (1.0 - delta * delta) - alpha) / (delta * delta);
    }
    _complex = other.getComplex() * alpha;
    result(0, 0) = alpha + other.getE1() * other.getE1() * beta;
    result(1, 1) = alpha + other.getE2() * other.getE2() * beta;
    result(1, 0) = result(0, 1) = other.getE1() * other.getE2() * beta;
    return result;
}
 
detail::EllipticityBase::Jacobian ConformalShear::dAssign(ReducedShear const& other) {
    Jacobian result = Jacobian::Zero();
    double g = other.getE();
    double alpha, beta;
    if (g < 1E-8) {
        alpha = 2.0 * (1.0 + g * g / 3.0);
        beta = 4.0 / 3.0;
    } else {
        double eta = 2.0 * std::atanh(g);
        alpha = eta / g;
        beta = 1.0 * (2.0 / (1.0 - g * g) - alpha) / (g * g);
    }
    _complex = other.getComplex() * alpha;
    result(0, 0) = alpha + other.getE1() * other.getE1() * beta;
    result(1, 1) = alpha + other.getE2() * other.getE2() * beta;
    result(1, 0) = result(0, 1) = other.getE1() * other.getE2() * beta;
    return result;
}
}  // namespace ellipses
}  // namespace geom
}  // namespace afw
}  // namespace lsst