vide_public/c_tools/hod/trapzd.c

89 lines
1.6 KiB
C

#define FUNC(x) ((*func)(x))
double trapzd(double (*func)(double), double a, double b, int n)
{
double x,tnm,sum,del;
static double s;
int it,j;
if (n == 1) {
return (s=0.5*(b-a)*(FUNC(a)+FUNC(b)));
} else {
for (it=1,j=1;j<n-1;j++) it <<= 1;
tnm=it;
del=(b-a)/tnm;
x=a+0.5*del;
for (sum=0.0,j=1;j<=it;j++,x+=del) sum += FUNC(x);
s=0.5*(s+(b-a)*sum/tnm);
return s;
}
}
#undef FUNC
#define FUNC(x) ((*func)(x))
double trapzd2(double (*func)(double), double a, double b, int n)
{
double x,tnm,sum,del;
static double s;
int it,j;
if (n == 1) {
return (s=0.5*(b-a)*(FUNC(a)+FUNC(b)));
} else {
for (it=1,j=1;j<n-1;j++) it <<= 1;
tnm=it;
del=(b-a)/tnm;
x=a+0.5*del;
for (sum=0.0,j=1;j<=it;j++,x+=del) sum += FUNC(x);
s=0.5*(s+(b-a)*sum/tnm);
return s;
}
}
#undef FUNC
#define FUNC(x) ((*func)(x))
double trapzd3(double (*func)(double), double a, double b, int n)
{
double x,tnm,sum,del;
static double s;
int it,j;
if (n == 1) {
return (s=0.5*(b-a)*(FUNC(a)+FUNC(b)));
} else {
for (it=1,j=1;j<n-1;j++) it <<= 1;
tnm=it;
del=(b-a)/tnm;
x=a+0.5*del;
for (sum=0.0,j=1;j<=it;j++,x+=del) sum += FUNC(x);
s=0.5*(s+(b-a)*sum/tnm);
return s;
}
}
#undef FUNC
#define FUNC(x) ((*func)(x))
double trapzd4(double (*func)(double), double a, double b, int n)
{
double x,tnm,sum,del;
static double s;
int it,j;
if (n == 1) {
return (s=0.5*(b-a)*(FUNC(a)+FUNC(b)));
} else {
for (it=1,j=1;j<n-1;j++) it <<= 1;
tnm=it;
del=(b-a)/tnm;
x=a+0.5*del;
for (sum=0.0,j=1;j<=it;j++,x+=del) sum += FUNC(x);
s=0.5*(s+(b-a)*sum/tnm);
return s;
}
}
#undef FUNC