?? insert.cpp
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#include"iostream.h"
#include"math.h"
#include"stdlib.h"
amspl(double x[], double y[], int n, double dy[], double ddy[], double t[], int m, double z[], double dz[], double ddz[]);
void main()
{
const int size=5;
int n=size;
const int m=200;
double s;
double x[size]={0,50,100,150,200};
//,150,100,50};
double y[size]={50,20,0,20,50};
//,80,100,80};
double dy[size],ddy[size],t[m],z[m],dz[m],ddz[m];
for(int i=0;i<m;i++)
{
t[i]=i;
}
/* for( i=m/2;i<m;i++)
{
t[i]=m-i;
}
*/
dy[0]=-1.0;
dy[size-1]=1.0;
s=amspl(x,y,n,dy,ddy,t,m,z,dz,ddz);
for( i=0;i<m;i++)
{
cout<<"z["<<i<<"]="<<z[i]<<",";
if(i%5==0)
{
cout<<endl;
}
}
}
amspl(double x[], double y[], int n, double dy[], double ddy[], double t[], int m, double z[], double dz[], double ddz[])
{
int i,j;
double h0,h1,alpha,deta,g;
double *s;
s=(double *) malloc(n*sizeof(double));
s[0]=dy[0];
dy[0]=0.0;
h0=x[1]-x[0];
for(j=1;j<=n-2;j++)
{
h1=x[j+1]-x[j];
alpha=h0/(h0+h1);
deta=(1.0-alpha)*(y[j]-y[j-1])/h0;
deta=3.0*(deta+alpha*(y[j+1]-y[j])/h1);
dy[j]=-alpha/(2.0+(1.0-alpha)*dy[j-1]);
s[j]=(deta-(1.0-alpha)*s[j-1]);
s[j]=s[j]/(2.0+(1.0-alpha)*dy[j-1]);
h0=h1;
}
for(j=n-2;j>=0;j--)
dy[j]=dy[j]*dy[j+1]+s[j];
for(j=0;j<=n-2;j++)
s[j]=x[j+1]-x[j];
for(j=0;j<=n-2;j++)
{
h1=s[j]*s[j];
ddy[j]=6.0*(y[j+1]-y[j])/h1-2.0*(2.0*dy[j]+dy[j+1])/s[j];
}
h1=s[n-2]*s[n-2];
ddy[n-1]=6.0*(y[n-2]-y[n-1])/h1+2.0*(2.0*dy[n-1]+dy[n-2])/s[n-2];
g=0.0;
for(i=0;i<=n-2;i++)
{
h1=0.5*s[i]*(y[i]+y[i+1]);
h1=h1-s[i]*s[i]*s[i]*(ddy[i]+ddy[i+1])/24.0;
g=g+h1;
}
for(j=0;j<=m-1;j++)
{
if (t[j]>=x[n-1])
i=n-2;
else
{
i=0;
while(t[j]>x[i+1])
i=i+1;
}
h1=(x[i+1]-t[j])/s[i];
h0=h1*h1;
z[j]=(3.0*h0-2.0*h0*h1)*y[i];
z[j]=z[j]+s[i]*(h0-h0*h1)*dy[i];
dz[j]=6.0*(h0-h1)*y[i]/s[i];
dz[j]=dz[j]+(3.0*h0-2.0*h1)*dy[i];
ddz[j]=(6.0-12.0*h1)*y[i]/(s[i]*s[i]);
ddz[j]=ddz[j]+(2.0-6.0*h1)*dy[i]/s[i];
h1=(t[j]-x[i])/s[i];
h0=h1*h1;
z[j]=z[j]+(3.0*h0-2.0*h0*h1)*y[i+1];
z[j]=z[j]-s[i]*(h0-h0*h1)*dy[i+1];
dz[j]=dz[j]-6.0*(h0-h1)*y[i+1]/s[i];
dz[j]=dz[j]+(3.0*h0-2.0*h1)*dy[i+1];
ddz[j]=ddz[j]+(6.0-12.0*h1)*y[i+1]/(s[i]*s[i]);
ddz[j]=ddz[j]-(2.0-6.0*h1)*dy[i+1]/s[i];
}
delete(s);
return(g);
}
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