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R Language 教程
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解决 R 中的 ODE
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编译语言的 ODE - C 中的定义
sink("caraxis_C.c")
cat("
/* suitable names for parameters and state variables */
#include <R.h>
#include <math.h>
static double parms[8];
#define eps parms[0]
#define m parms[1]
#define k parms[2]
#define L parms[3]
#define L0 parms[4]
#define r parms[5]
#define w parms[6]
#define g parms[7]
/*----------------------------------------------------------------------
initialising the parameter common block*/
void init_C(void (* daeparms)(int *, double *)) {
int N = 8;
daeparms(&N, parms);
}
/* Compartments */
#define xl y[0]
#define yl y[1]
#define xr y[2]
#define yr y[3]
#define lam1 y[8]
#define lam2 y[9]
/*----------------------------------------------------------------------
the residual function*/
void caraxis_C (int *neq, double *t, double *y, double *ydot,
double *yout, int* ip)
{
double yb, xb, Lr, Ll;
yb = r * sin(w * *t) ;
xb = sqrt(L * L - yb * yb);
Ll = sqrt(xl * xl + yl * yl) ;
Lr = sqrt((xr-xb)*(xr-xb) + (yr-yb)*(yr-yb));
ydot[0] = y[4];
ydot[1] = y[5];
ydot[2] = y[6];
ydot[3] = y[7];
ydot[4] = (L0-Ll) * xl/Ll + lam1*xb + 2*lam2*(xl-xr) ;
ydot[5] = (L0-Ll) * yl/Ll + lam1*yb + 2*lam2*(yl-yr) - k*g;
ydot[6] = (L0-Lr) * (xr-xb)/Lr - 2*lam2*(xl-xr) ;
ydot[7] = (L0-Lr) * (yr-yb)/Lr - 2*lam2*(yl-yr) - k*g ;
ydot[8] = xb * xl + yb * yl;
ydot[9] = (xl-xr) * (xl-xr) + (yl-yr) * (yl-yr) - L*L;
}
", fill = TRUE)
sink()
system("R CMD SHLIB caraxis_C.c")
dyn.load(paste("caraxis_C", .Platform$dynlib.ext, sep = ""))
dllname_C <- dyn.load(paste("caraxis_C", .Platform$dynlib.ext, sep = ""))[[1]]