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#include "../util.h"
std::function<double(double)> f;
constexpr double EPS = 1e-9;
#include <math/simpson.cpp>
struct RandomPolynom {
vector<double> polynom;
RandomPolynom(int deg) : polynom(deg) {
for (auto& x : polynom) x = Random::real<double>(-100, 100);
}
double operator()(double x) const {
double res = 0;
double xx = 1;
for (double y : polynom ) {
res += xx * y;
xx *= x;
}
return res;
}
double area(double a, double b) const {
double res = 0;
double aa = a;
double bb = b;
ll d = 1;
for (double y : polynom) {
res += bb / d * y;
res -= aa / d * y;
aa *= a;
bb *= b;
d++;
}
return res;
}
};
void stress_test() {
timer t;
ll queries = 0;
for (int tries = 0; tries < 1'000; tries++) {
ll n = Random::integer<ll>(0, 6);
RandomPolynom poly(n);
f = poly;
for (ll i = 0; i < 200; i++) {
double l = Random::real<double>(-20, 20);
double r = Random::real<double>(-20, 20);
if (l > r) swap(l, r);
t.start();
double got = integrate(l, r);
t.stop();
double expected = poly.area(l, r);
if (float_error(got, expected) > 1e-6) cerr << fixed << setprecision(20) << "got: " << got << ", expected: " << expected << FAIL;
queries++;
}
}
if (!sanitize) {
if (t.time > 5000) cerr << "too slow: " << t.time << FAIL;
cerr << "tested random queries: " << queries << " (" << t.time << "ms)" << endl;
}
}
int main() {
stress_test();
}
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