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2025-02-Numerical/lib/nr/cpp/recipes/midpnt.cpp
2025-09-12 18:55:25 +09:00

28 lines
446 B
C++

#include "nr.h"
DP NR::midpnt(DP func(const DP), const DP a, const DP b, const int n)
{
int it,j;
DP x,tnm,sum,del,ddel;
static DP s;
if (n == 1) {
return (s=(b-a)*func(0.5*(a+b)));
} else {
for(it=1,j=1;j<n-1;j++) it *= 3;
tnm=it;
del=(b-a)/(3.0*tnm);
ddel=del+del;
x=a+0.5*del;
sum=0.0;
for (j=0;j<it;j++) {
sum += func(x);
x += ddel;
sum += func(x);
x += del;
}
s=(s+(b-a)*sum/tnm)/3.0;
return s;
}
}