cgal/Polynomial/test/Polynomial/Interpolator.cpp

97 lines
3.0 KiB
C++

#include <iostream>
#include <cassert>
#include <CGAL/Arithmetic_kernel.h>
#include <CGAL/Residue.h>
#include <CGAL/Sqrt_extension.h>
#include <CGAL/Polynomial.h>
#include <CGAL/Polynomial_traits_d.h>
#include <CGAL/Random.h>
#include <CGAL/Timer.h>
#include <CGAL/gen_sparse_polynomial.h>
#include <CGAL/Polynomial/Interpolator.h>
static CGAL::Random my_rnd(346); // some seed
template<class Polynomial_d>
void test_interpolator(){
typedef typename CGAL::Polynomial_traits_d<Polynomial_d> PT;
typedef typename PT::Innermost_coefficient_type IC;
typedef typename PT::Coefficient_type Coeff;
for(int k = 0 ; k < 5; k++){
// gen some polynomial
Polynomial_d F =
CGAL::generate_sparse_random_polynomial<Polynomial_d>
(my_rnd, 20/PT::d);
typedef CGAL::Polynomial_traits_d<Polynomial_d> PT;
typedef std::pair<IC,Coeff> Point;
std::vector<Point> points;
for(int i = 0; i <= F.degree(); i++){
points.push_back(Point(IC(i),typename PT::Evaluate()(F,IC(i))));
}
typedef CGAL::internal::Interpolator<Polynomial_d> Interpolator_d;
Interpolator_d interpolator_1(points.begin(),points.end());
assert(F == interpolator_1.get_interpolant());
Interpolator_d interpolator_2;
assert(Polynomial_d(0) == interpolator_2.get_interpolant());
for(unsigned int i = 0; i < points.size(); i++){
interpolator_2.add_interpolation_point(points[i]);
if(i%10 == 0 )
assert(F != interpolator_2.get_interpolant());
}
assert(F == interpolator_2.get_interpolant());
}
//std::cout << "end interpolate: " << PT::d << std::endl;
}
#if CGAL_HAS_DEFAULT_ARITHMETIC_KERNEL
int main(){
CGAL::IO::set_pretty_mode(std::cout);
typedef CGAL::Arithmetic_kernel AK;
typedef AK::Integer Integer;
typedef CGAL::Polynomial<Integer> Polynomial_1;
typedef CGAL::Polynomial<Polynomial_1> Polynomial_2;
typedef CGAL::Polynomial<Polynomial_2> Polynomial_3;
typedef CGAL::Sqrt_extension<Integer,Integer> EXT;
typedef CGAL::Polynomial<EXT> EPolynomial_1;
typedef CGAL::Polynomial<EPolynomial_1> EPolynomial_2;
typedef CGAL::Polynomial<EPolynomial_2> EPolynomial_3;
test_interpolator<Polynomial_1>();
test_interpolator<Polynomial_2>();
test_interpolator<Polynomial_3>();
test_interpolator<EPolynomial_1>();
test_interpolator<EPolynomial_2>();
test_interpolator<EPolynomial_3>();
// Enforce IEEE double precision and to nearest for modular arithmetic
CGAL::Protect_FPU_rounding<true> pfr(CGAL_FE_TONEAREST);
typedef CGAL::Polynomial<CGAL::Residue> MPolynomial_1;
typedef CGAL::Polynomial<MPolynomial_1> MPolynomial_2;
typedef CGAL::Polynomial<MPolynomial_2> MPolynomial_3;
test_interpolator<MPolynomial_1>();
test_interpolator<MPolynomial_2>();
test_interpolator<MPolynomial_3>();
}
#else
int main(){
std::cout << " Test needs a default arithmetic kernel " << std::endl;
return 0;
}
#endif // CGAL_HAS_DEFAULT_ARITHMETIC_KERNEL