* Compares results obtained with float, double, and Real.
*/
#include "main.h"
-#include <cmath> // for PI
+#include <cmath>
#include <ctime> // for performance measurements
/** Function to integrate
/**
* Integrate f using the simpson rule
*/
-template <class T> T Integrate(T(*f)(const T&), const T & xmin, const T & xmax, uint64_t intervals)
+template <class T> T Integrate(T(*f)(const T & ), const T & xmin, const T & xmax, uint64_t intervals)
{
T sum = 0.0;
T dx = (xmax - xmin) / T(intervals);
odd += f(xmin + dx*T(i));
for (i = 2; i < intervals-1; i+=2)
even += f(xmin + dx*T(i));
-
sum = (f(xmin) + T(4.0)*odd + T(2.0)*even + f(xmin+T(intervals)*dx))*dx / T(3.0);
return sum;
}
-#define MAX_INTERVALS 1e9
-
+#define MAX_INTERVALS 1e10
/**
* main
*/
int main(int argc, char ** argv)
{
- printf("# intervals\terror_float\tclock_float\terror_double\tclock_double\terror_real\tclock_real\n");
- for (uint64_t intervals = 1; intervals < (uint64_t)(MAX_INTERVALS); intervals*=10)
+ setbuf(stdout, NULL);
+ setbuf(stderr, NULL);
+ long double PI = acosl(-1.0L);
+ printf("# intervals\terror_float\tclock_float\terror_double\tclock_double\terror_long\tclock_long");
+ #if REAL > REAL_LONG_DOUBLE
+ printf("\terror_real\tclock_real\n");
+ #else
+ printf("\n");
+ #endif //REAL
+ for (uint64_t intervals = 1; intervals < (uint64_t)(MAX_INTERVALS); intervals*=5)
{
clock_t start = clock();
- float error_float = Integrate<float>(f<float>, 0.0, 1.0, intervals) - (float)(M_PI);
+ float error_float = Integrate<float>(f<float>, 0.0f, 1.0f, intervals) - float(PI);
clock_t clock_float = clock() - start;
start = clock();
- double error_double = Integrate<double>(f<double>, 0.0, 1.0, intervals) - (double)(M_PI);
+ double error_double = Integrate<double>(f<double>, 0.0, 1.0, intervals) - double(PI);
clock_t clock_double = clock() - start;
start = clock();
- Real error_real = Integrate<Real>(f<Real>, 0.0, 1.0, intervals) - Real(M_PI);
- clock_t clock_real = clock() - start;
-
- printf("%lu\t%.30f\t%li\t%.30f\t%li\t%.30f\t%li\n", intervals, error_float, clock_float, error_double, clock_double, Float(error_real), clock_real);
+ long double error_long = Integrate<long double>(f<long double>,0.0L,1.0L, intervals) - PI;
+ clock_t clock_long = clock() - start;
+
+ printf("%lu\t%.30f\t%li\t%.30lf\t%li\t%.30llf\t%li", intervals, error_float, clock_float, error_double, clock_double, error_long, clock_long);
+
+ #if REAL > REAL_LONG_DOUBLE
+ Real error_real = Integrate<Real>(f<Real>,Real(0.0L), Real(1.0L), intervals) - Real(PI);
+ clock_t clock_real = clock() - start;
+ printf("\t%.30lf\t%li\n", error_real, clock_real);
+ #else
+ printf("\n");
+ #endif
}
}