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prob2.c
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prob2.c
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/*
Antoniou Christodoulos 2641
Ilias Diamantis 2685
Tzounas Antonios 2368
compiled and tested on gcc (Ubuntu 9.3.0-17ubuntu1~20.04) 9.3.0
and on gcc (Ubuntu 7.5.0-3ubuntu1~18.04) 7.5.0
compilation command:
gcc provlima2.c -lm
oi grafikes parastaseis exoun ginei xrisimopoiontas ta output arxeia .dat tou programmatos sto gnuplot
arxika dialegoume ena katalilo terminal me tin entoli:
set terminal png size 800,600
dimiourgoume ena arxeio proorismou gia to paragomeno plot:
set output "plot_image.png"
kai telos, gia paradeigma oi grafikes parastaseis gia ta a b c d sto provlima 1 erotima delta me tin methodo tou euler
exoun ginei me tis entoles:
plot "erotima_delta_euler.dat" using 1:2 linetype 7 linecolor 7 lw 2 with lines
plot "erotima_delta_euler.dat" using 1:3 linetype 7 linecolor 7 lw 2 with lines
plot "erotima_delta_euler.dat" using 1:4 linetype 7 linecolor 7 lw 2 with lines
plot "erotima_delta_euler.dat" using 1:5 linetype 7 linecolor 7 lw 2 with lines
*/
#include <stdio.h>
#include <math.h>
#define M 1
#define g 9.81
#define Iz 0.08
#define AM 2685
double fz, Cz;
double h = 0.001;
double Kpz, Kdz, zdes;
// lisi
#define z(t) (-15.169)*exp((-0.234)*t)+0.169*exp((-20.988)*t)+13.425
// sistima
#define q1_d(t,a,b) b
#define q2_d(t,a,b) (((M*g+Kpz*(zdes-a)-Kdz*b)-g*M-Cz*b)/M)
// Euler
#define An1_Euler_d(t0,a0,b0) a0+h*q1_d(t0,a0,b0)
#define Bn1_Euler_d(t0,a0,b0) b0+h*q2_d(t0,a0,b0)
// Veltiomeni Euler
#define An1_Velt_Euler_d(t0,a0,b0) a0+(h/2)*(q1_d(t0,a0,b0)+q1_d(t0+h,a0+h*q1_d(t0,a0,b0),b0+h*q2_d(t0,a0,b0)))
#define Bn1_Velt_Euler_d(t0,a0,b0) b0+(h/2)*(q2_d(t0,a0,b0)+q2_d(t0+h,a0+h*q1_d(t0,a0,b0),b0+h*q2_d(t0,a0,b0)))
int main() {
// gia na grapsoume ta apotelesmata se arxeia dat
FILE *output_file;
double t;
double an1, a0, bn1, b0;
double z0;
Kpz = 5.0;
Kdz = 15.0+((double)AM/1000.0);
z0 = 0.0;
zdes = ((double)AM/200.0);
Cz = 3.0+((double)AM/5000.0);
// Euler
a0 = z0;
b0 = 0.0;
// neo arxeio
output_file = fopen("./provlima_2_euler.dat","w+");
if (output_file != NULL) fprintf(output_file,"%s\n","# t A B");
for (t=0.0; t<30.001; t+=h) {
an1 = An1_Euler_d(t,a0,b0);
bn1 = Bn1_Euler_d(t,a0,b0);
//printf("%f - %f\n",an1,bn1);
// grafoume ta dedomena
if (output_file != NULL) fprintf(output_file,"%f %.10f %.10f\n",t,an1,bn1);
// epomenes times a b
a0 = an1;
b0 = bn1;
}
// Veltiomeni Euler
a0 = z0;
b0 = 0.0;
// neo arxeio
output_file = fopen("./provlima_2_velt_euler.dat","w+");
if (output_file != NULL) fprintf(output_file,"%s\n","# t A B");
for (t=0.0; t<30.001; t+=h) {
an1 = An1_Velt_Euler_d(t,a0,b0);
bn1 = Bn1_Velt_Euler_d(t,a0,b0);
//printf("%f - %f\n",an1,bn1);
// grafoume ta dedomena
if (output_file != NULL) fprintf(output_file,"%f %.10f %.10f\n",t,an1,bn1);
// epomenes times a b
a0 = an1;
b0 = bn1;
}
// lisi
output_file = fopen("./provlima_2_lisi.dat","w+");
if (output_file != NULL) fprintf(output_file,"%s\n","# t Z");
for (t=0.0; t<30.001; t+=h) {
z0 = z(t);
if (output_file != NULL) fprintf(output_file,"%f %.10f\n",t,z0);
}
printf("%f\n", zdes);
return 0;
}