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//# tPowerLogarithmicPolynomial.cc: Test the one-dimensional PowerLogarithmicPolynomial class
//# Copyright (C) 1995,1996,1999,2001,2002
//# Associated Universities, Inc. Washington DC, USA.
//#
//# This program is free software; you can redistribute it and/or modify it
//# under the terms of the GNU General Public License as published by the Free
//# Software Foundation; either version 2 of the License, or (at your option)
//# any later version.
//#
//# This program is distributed in the hope that it will be useful, but WITHOUT
//# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
//# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
//# more details.
//#
//# You should have received a copy of the GNU General Public License along
//# with this program; if not, write to the Free Software Foundation, Inc.,
//# 675 Massachusetts Ave, Cambridge, MA 02139, USA.
//#
//# Correspondence concerning AIPS++ should be addressed as follows:
//# Internet email: casa-feedback@nrao.edu.
//# Postal address: AIPS++ Project Office
//# National Radio Astronomy Observatory
//# 520 Edgemont Road
//# Charlottesville, VA 22903-2475 USA
#include <casacore/scimath/Functionals/PowerLogarithmicPolynomial.h>
#include <casacore/scimath/Mathematics/AutoDiff.h>
#include <casacore/scimath/Mathematics/AutoDiffA.h>
#include <casacore/scimath/Mathematics/AutoDiffIO.h>
#include <casacore/scimath/Mathematics/AutoDiffMath.h>
#include <casacore/casa/Arrays/Vector.h>
#include <casacore/casa/Arrays/ArrayLogical.h>
#include <casacore/casa/Arrays/ArrayMath.h>
#include <casacore/casa/Utilities/Assert.h>
#include <casacore/casa/iostream.h>
#include <casacore/casa/namespace.h>
int main() {
// PowerLogarithmicPolynomial();
PowerLogarithmicPolynomial<Float> null;
// PowerLogarithmicPolynomial(uInt order);
// void setCoefficient(uInt which, T value);
// virtual void setAdjustParameter(uInt which, const T &val);
PowerLogarithmicPolynomial<Float> linear(2);
Vector<Float> coeff(2, 1);
linear.setCoefficients(coeff);
PowerLogarithmicPolynomial<Float> square(2);
square.setCoefficient(0, 1);
square.setCoefficient(1, 2);
// virtual T operator()(const T &x) const;
AlwaysAssertExit(linear(3.0) == 3.0f && square(3.0f) == 9.0f);
PowerLogarithmicPolynomial<Float> curve(4);
curve.setCoefficient(0, 1);
curve.setCoefficient(1, 0.5);
curve.setCoefficient(2, 1);
curve.setCoefficient(3, 2);
cout << "curve " << curve(3.0) << endl;
AlwaysAssertExit(near(curve(3.0), 82.1209389f));
// virtual uInt nAdjustParameters() const;
// uInt order() const {return coefficients_p.nelements() - 1;}
// virtual T getAdjustParameter(uInt which) const;
// T coefficient(uInt which) const {return coefficients_p[which];}
// Vector<T> coefficients() const;
// virtual Vector<T> getAdjustParameters() const;
AlwaysAssertExit(linear.nparameters() == 2 &&
square.nparameters() == 2 && curve.nparameters() == 4);
Vector<Float> curveCoeff1, curveCoeff2;
curveCoeff1 = curve.coefficients();
curveCoeff2 = curve.parameters().getParameters();
AlwaysAssertExit(allEQ(curveCoeff1, curveCoeff2));
AlwaysAssertExit(curveCoeff1.nelements() == 4);
AlwaysAssertExit(curveCoeff1(0) == 1.0f);
AlwaysAssertExit(curveCoeff1(1) == 0.5f);
AlwaysAssertExit(curveCoeff1(2) == 1.0f);
AlwaysAssertExit(curveCoeff1(3) == 2.0f);
// PowerLogarithmicPolynomial(const PowerLogarithmicPolynomial &other);
// PowerLogarithmicPolynomial<T> &operator=(const PowerLogarithmicPolynomial<T> &other);
PowerLogarithmicPolynomial<Float> curveCopy1(curve);
PowerLogarithmicPolynomial<Float> curveCopy2;
curveCopy2 = curve;
AlwaysAssertExit(curve == curveCopy1 && curve == curveCopy2);
// void setCoefficients(const Vector<T> &coefficients);
// virtual void setAdjustParameters(const Vector<T> &val);
PowerLogarithmicPolynomial<Float> tmp1(4), tmp2(4);
Vector<Float> coefficients(4);
indgen(coefficients);
tmp1.setCoefficients(coefficients);
tmp2.parameters().setParameters(coefficients);
AlwaysAssertExit(allEQ(coefficients, tmp1.coefficients()) &&
allEQ(coefficients, tmp1.parameters().getParameters()));
// Bool operator==(const PowerLogarithmicPolynomial<T> &other) const;
// Bool operator!=(const PowerLogarithmicPolynomial<T> &other) const;
AlwaysAssertExit(null == linear && null != square && square != linear &&
null == null && linear == linear && square == square);
// clone()
// ~PowerLogarithmicPolynomial();
Function<Float> *tmp3ptr = tmp2.clone();
AlwaysAssertExit(tmp3ptr->nparameters() == 4 &&
(*tmp3ptr)[0] == 0.0f &&
(*tmp3ptr)[1] == 1.0f &&
(*tmp3ptr)[2] == 2.0f &&
(*tmp3ptr)[3] == 3.0f);
delete tmp3ptr;
// Test Auto differentiation // 0.5 * x**(2 + 3ln(x) + 4ln(x)**2)
PowerLogarithmicPolynomial<AutoDiffA<Double> > curve2(4);
curve2[0] = AutoDiffA<Double>(0.5,4,0);
curve2[1] = AutoDiffA<Double>(2.0,4,1);
curve2[2] = AutoDiffA<Double>(3.0,4,2);
curve2[3] = AutoDiffA<Double>(4.0,4,3);
cout << "Generic(3): " << curve2(AutoDiffA<Double>(3.0)) << endl;
// Test manual differentiation // 0.5 * x**(2 + 3ln(x) + 4ln(x)**2)
PowerLogarithmicPolynomial<AutoDiff<Double> > curve3(4);
curve3[0] = AutoDiff<Double>(0.5,4,0);
curve3[1] = AutoDiff<Double>(2.0,4,1);
curve3[2] = AutoDiff<Double>(3.0,4,2);
curve3[3] = AutoDiff<Double>(4.0,4,3);
cout << "Specific(3): " << curve3(3.0) << endl;
AlwaysAssertExit(
near(
curve2(AutoDiffA<Double>(3.0)).value(),
curve3(3.0).value()
)
&& allNear(
curve2(AutoDiffA<Double>(3.0)).derivatives(),
curve3(3.0).derivatives(), 1e-13
)
);
cout << "OK" << endl;
return 0;
}
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