78 lines
1.4 KiB
C++
78 lines
1.4 KiB
C++
#include <iostream>
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#include <iomanip>
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#include <cmath>
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#include "nr.h"
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using namespace std;
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int m,n;
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DP c2,dx,gmma;
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int n2;
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DP x1,x2,xf;
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int main(void) // Program sphfpt
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{
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const int N1=2,N2=1,NTOT=N1+N2;
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const DP DXX=1.0e-8;
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bool check;
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int i;
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DP q1;
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Vec_DP v(NTOT);
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n2=N2;
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dx=DXX;
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for (;;) {
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cout << endl << "input m,n,c-squared (n >= m, c=999 to end)" << endl;
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cin >> m >> n >> c2;
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if (c2 == 999) break;
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if (n < m || m < 0) continue;
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gmma=1.0;
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q1=n;
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for (i=1;i<=m;i++) gmma *= -0.5*(n+i)*(q1--/i);
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v[0]=n*(n+1)-m*(m+1)+c2/2.0;
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v[2]=v[0];
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v[1]=gmma*(1.0-(v[2]-c2)*dx/(2*(m+1)));
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x1= -1.0+dx;
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x2=1.0-dx;
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xf=0.0;
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NR::newt(v,check,NR::shootf);
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if (check) {
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cout << "shootf failed; bad initial guess" << endl;
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} else {
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cout << " " << "mu(m,n)" << endl;
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cout << fixed << setprecision(6);
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cout << setw(12) << v[0] << endl;
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}
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}
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return 0;
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}
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void load1(const DP x1, Vec_I_DP &v1, Vec_O_DP &y)
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{
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DP y1 = ((n-m & 1) != 0 ? -gmma : gmma);
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y[2]=v1[0];
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y[1] = -(y[2]-c2)*y1/(2*(m+1));
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y[0]=y1+y[1]*dx;
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}
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void load2(const DP x2, Vec_I_DP &v2, Vec_O_DP &y)
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{
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y[2]=v2[1];
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y[0]=v2[0];
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y[1]=(y[2]-c2)*y[0]/(2*(m+1));
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}
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void score(const DP xf, Vec_I_DP &y, Vec_O_DP &f)
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{
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int i;
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for (i=0;i<3;i++) f[i]=y[i];
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}
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void derivs(const DP x, Vec_I_DP &y, Vec_O_DP &dydx)
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{
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dydx[0]=y[1];
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dydx[1]=(2.0*x*(m+1.0)*y[1]-(y[2]-c2*x*x)*y[0])/(1.0-x*x);
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dydx[2]=0.0;
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}
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