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Add further test cases

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- Polynomials (including mixed mode arithmetic)
  - Cosines (including mixed mode arithmethic)
  - Square roots (including mixed mode arithmetic)
This commit is contained in:
Bård Skaflestad 2013-04-30 00:08:02 +02:00
parent 011ab5ee93
commit e17447d6cd
1 changed files with 58 additions and 0 deletions
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58
test_syntax.cpp
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@ -6,6 +6,7 @@
#include "AutoDiff.hpp"
#include <cmath>
#include <boost/test/unit_test.hpp>
BOOST_AUTO_TEST_CASE(Initialisation)
@ -171,3 +172,60 @@ BOOST_AUTO_TEST_CASE(Division)
BOOST_CHECK_CLOSE(otb.val(), 2 / b.val(), atol);
BOOST_CHECK_CLOSE(otb.der(), -2*b.der() / (b.val() * b.val()), atol);
}
BOOST_AUTO_TEST_CASE(Polynomial)
{
typedef AutoDiff::Forward<double> AdFW;
const double atol = 1.0e-14;
const AdFW x(1.234e-1);
const AdFW p0 = x * x;
BOOST_CHECK_CLOSE(p0.val(), x.val() * x.val(), atol);
BOOST_CHECK_CLOSE(p0.der(), 2*x.val()*x.der(), atol);
const AdFW p = 10*x*x - x/2.0 + 3.0;
BOOST_CHECK_CLOSE(p.val(), 10 *x.val()*x.val() - x.val()/2.0 + 3.0, atol);
BOOST_CHECK_CLOSE(p.der(), 10*2*x.val()*x.der() - x.der()/2.0 , atol);
}
BOOST_AUTO_TEST_CASE(Cosine)
{
typedef AutoDiff::Forward<double> AdFW;
const double atol = 1.0e-14;
const AdFW x(3.14159265358979323846264338327950288);
const AdFW f = std::cos(x);
BOOST_CHECK_CLOSE(f.val(), std::cos(x.val()), atol);
BOOST_CHECK_CLOSE(f.der(), - std::sin(x.val()), atol);
const AdFW p = 10*x*x - x/2.0 + 3.0;
const AdFW g = std::cos(p);
BOOST_CHECK_CLOSE(g.val(), std::cos(p.val()) , atol);
BOOST_CHECK_CLOSE(g.der(), - std::sin(p.val())*p.der(), atol);
}
BOOST_AUTO_TEST_CASE(SquareRoot)
{
typedef AutoDiff::Forward<double> AdFW;
const double atol = 1.0e-14;
const AdFW x(1.234e-5);
const AdFW x2 = x * x;
const AdFW g = std::cos(x2) + x;
const AdFW f = std::sqrt(g) - 1.2;
BOOST_CHECK_CLOSE(g.val(), std::cos(x2.val()) + x.val(), atol);
BOOST_CHECK_CLOSE(g.der(), -std::sin(x2.val())*x2.der() + x.der(), atol);
BOOST_CHECK_CLOSE(f.val(), std::sqrt(g.val()) - 1.2, atol);
BOOST_CHECK_CLOSE(f.der(), 1.0/(2.0 * std::sqrt(g.val())) * g.der(), atol);
}