void evalTest(const std::size_t p_size, const std::size_t p_samples) {
Polynomial<T,Dim> P;
Index<Dim> polyIdx;
{
typename Shape<Dim>::type polyShape;
polyShape.fill(p_size);
P.reshape(polyShape).applyToCoefficients([](T& ak, const Index<Dim>& idx){
ak = T(idx())/T(idx.maxId());
});
}
std::array<T,Dim> X;
T dX;
{
const T a = T(0);
const T b = T(1);
dX = (b-a)/(p_samples-1);
}
typename Shape<Dim>::type sampleShape;
sampleShape.fill(p_samples);
Index<Dim> sampleIdx(sampleShape);
while(!sampleIdx.atMaxId()) {
for (std::size_t d=0; d < Dim; d++)
X[d] = sampleIdx[d]*dX;
T lhs, rhs;
lhs = P(X);
rhs = T(0);
polyIdx.reset(P.shape());
while(!polyIdx.atMaxId()) {
T val = T(1);
for (std::size_t d=0; d<Dim; d++)
val *= std::pow(X[d],polyIdx[d]);
rhs += T(polyIdx())/T(polyIdx.maxId())*val;
++polyIdx;
}
ASSERT_LE(std::abs(rhs-lhs),std::pow(10,Dim)*std::numeric_limits<T>::epsilon());
++sampleIdx;
}
}
