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// Example of using the GeographicLib::TrigfunExt class.
#include <iostream>
#include <iomanip>
#include <exception>
#include <GeographicLib/Trigfun.hpp>
#include <GeographicLib/EllipticFunction.hpp>
using namespace std;
using namespace GeographicLib;
int main(int argc, const char* const argv[]) {
try {
// Integrate 1/sqrt(1 - k2*sin(x)^2) and compare this to the elliptic
// integral of the first kine.
double k2 = Math::sq(0.8);
auto f = [k2] (double x) -> double
{ return 1/sqrt(1 - k2 * Math::sq(sin(x))); };
TrigfunExt tfe(f, Math::pi()/2);
cout << "Number of coefficients: " << tfe.NCoeffs() << "\n";
EllipticFunction ell(k2);
cout << "x tf(x) tf(x)-F(x)\n";
for (int i = 0; i <= 20; ++i) {
double x = i/10.0;
cout << x << " " << tfe(x) << " " << tfe(x) - ell.F(x) << "\n";
}
}
catch (const std::exception& e) {
std::cerr << "Caught exception: " << e.what() << "\n";
return 1;
}
}
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