📄 rtsafe.c
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#include <math.h>#define MAXIT 100float rtsafe(void (*funcd)(float, float *, float *), float x1, float x2, float xacc){ void nrerror(char error_text[]); int j; float df,dx,dxold,f,fh,fl; float temp,xh,xl,rts; (*funcd)(x1,&fl,&df); (*funcd)(x2,&fh,&df); if ((fl > 0.0 && fh > 0.0) || (fl < 0.0 && fh < 0.0)) nrerror("Root must be bracketed in rtsafe"); if (fl == 0.0) return x1; if (fh == 0.0) return x2; if (fl < 0.0) { xl=x1; xh=x2; } else { xh=x1; xl=x2; } rts=0.5*(x1+x2); dxold=fabs(x2-x1); dx=dxold; (*funcd)(rts,&f,&df); for (j=1;j<=MAXIT;j++) { if ((((rts-xh)*df-f)*((rts-xl)*df-f) >= 0.0) || (fabs(2.0*f) > fabs(dxold*df))) { dxold=dx; dx=0.5*(xh-xl); rts=xl+dx; if (xl == rts) return rts; } else { dxold=dx; dx=f/df; temp=rts; rts -= dx; if (temp == rts) return rts; } if (fabs(dx) < xacc) return rts; (*funcd)(rts,&f,&df); if (f < 0.0) xl=rts; else xh=rts; } nrerror("Maximum number of iterations exceeded in rtsafe"); return 0.0;}#undef MAXIT
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