Apple-2-SW/Runge-Kutta-Simulation
1
0
Fork 0
mirror of https://github.com/rigreco/Runge-Kutta-Simulation.git synced 2025-01-25 16:30:17 +00:00
Code Issues Projects Releases Wiki Activity

RK Simulator

Browse Source
This commit is contained in:
rigreco 2015-02-10 22:55:02 +01:00
parent 301ff7dcb0
commit a114a23ea7
14 changed files with 1643 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

BIN
RKSIM.po Normal file
View File

Binary file not shown.

244
scr/DCMotor.c Normal file
View File

@ -0,0 +1,244 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
/* PROCESS MODULE */
#include <math.h>
#include <stdio.h>
#include <fcntl.h>
#include <errno.h>
#define rkfr 1.0e-3 /* RKF max resolution h<rk4r */
/* GENERAL GLOBAL */
extern double h,time;
extern char fbuf[80];
extern int cnt,fd;
extern struct data {
char v[20];
char i[20];
/*char ideal[20];*/
};
/* LOCAL GLOBAL */
char *outr[4]={"t="," ia(t)="," w(t)="};
char *FILE_NAME="dcrk";
/*double MC,va,ra,kf,l,j;
/*Fehlberg parameters */
double acca[5]={1.0/4.0,3.0/8.0,12.0/13.0,1.0,1.0/2.0};
double erre1[5]={1.0/4.0,0.0,0.0,0.0,0.0};
double erre2[5]={3.0/32.0,9.0/32.0,0.0,0.0,0.0};
double erre3[5]={1932.0/2197.0,-7200.0/2197.0,7296.0/2197.0,0.0,0.0};
double erre4[5]={439.0/216.0,-8.0,3680.0/513.0,-845.0/4104.0,0.0};
double erre5[5]={-8.0/27.0,2.0,-3544.0/2565.0,1859.0/4104.0,-11.0/40.0};
double erre[5]={1.0/360.0,-128.0/4275.0,-2197.0/75240.0,1.0/50.0,2.0/55.0};
double ips5[5]={25.0/216.0,0.0,1408.0/2565.0,2197.0/4104.0,-1.0/5.0};
/*double ips6[6]={16.0/135.0,0.0,6656.0/12825.0,28561.0/56430.0,-9.0/50.0,2.0/55.0};*/
/* Integrated equation sets */
int funrk(x,ya,eq)
double x,ya[2],eq[2];
{
double va,ra,kf,la,j,MC;
/*ya[0]=y3=ia(t) ya[1]=y4=w(t) variables array /*
/* ***** TEST equations WORK *******
eq[0]=ya[0]+2*ya[1];
eq[1]=10.0-ya[0];
/* Harmonic oscillator (change initial condition)
eq[0]=-2*ya[1];
eq[1]=ya[0];*/
/* DATA MOTOR */
va=(double)160.0;
ra=(double)9.47;
kf=(double)0.98; /* kf=k*fi */
la=(double)0.0375;
j=(double)0.011;
MC=(double)0.0; /*4.2*/
/* DC Motor equations */
eq[0]=(va/la)-(ra/la)*ya[0]-(kf*ya[1])/la; /* ia'(t)=(va/la)-(ra/la)*ia(t)-kf*w(t)/la */
eq[1]=(kf*ya[0]-MC)/j; /* w'(t)=(1/j)*(MM-MC)=(1/j)*(kf*ia(t)-MC) */
/*
eq[0]=42666.6-2525.3*ya[0]-261.3*ya[1];
eq[1]=89.0*ya[0]-381.8; */
}
/*RKF45 Module */
int runge_kutta(x,h,y_init,y)
double x,h,y_init[2],y[2];
{
double r11,r21,r31,r41,r51,r61,r12,r22,r32,r42,r52,r62,ya[2],eq[2]; /*,err*/
/* RK inizialization */
y[0]=(double)0.0; /* y3[0]=ia(t) return integrated value */
y[1]=(double)0.0; /* y4[0]=w(t) return integrated value */
eq[0]=(double)0.0;
eq[1]=(double)0.0;
ya[0]=y_init[0]; /* VIP */
ya[1]=y_init[1];
/*err=(double)0.0;*/
/*
do
{
/* 1^ order */
funrk(x,ya,eq);
r11=eq[0];
r12=eq[1];
/* 2^ order */
ya[0]=(double)(y_init[0]+erre1[0]*r11*h);
ya[1]=(double)(y_init[1]+erre1[0]*r12*h);
funrk(x+acca[0]*h,ya,eq);
r21=eq[0];
r22=eq[1];
/* 3^ order */
ya[0]=(double)(y_init[0]+erre2[0]*r11*h+erre2[1]*r21*h);
ya[1]=(double)(y_init[1]+erre2[0]*r12*h+erre2[1]*r22*h);
funrk(x+acca[1]*h,ya,eq);
r31=eq[0];
r32=eq[1];
/* 4^ order */
ya[0]=(double)(y_init[0]+erre3[0]*r11*h+erre3[1]*r21*h+erre3[2]*r31*h);
ya[1]=(double)(y_init[1]+erre3[0]*r12*h+erre3[1]*r22*h+erre3[2]*r32*h);
funrk(x+acca[2]*h,ya,eq);
r41=eq[0];
r42=eq[1];
/* 5^ order */
ya[0]=(double)(y_init[0]+erre4[0]*r11*h+erre4[1]*r21*h+erre4[2]*r31*h+erre4[3]*r41*h);
ya[1]=(double)(y_init[1]+erre4[0]*r12*h+erre4[1]*r22*h+erre4[2]*r32*h+erre4[3]*r42*h);
funrk(x+acca[3]*h,ya,eq);
r51=eq[0];
r52=eq[1];
/* 6^ order only for estimated error for adaptative step method
ya[0]=(double)(y_init[0]+erre5[0]*r11*h+erre5[1]*r21*h+erre5[2]*r31*h+erre5[3]*r41*h+erre5[4]*r51*h);
ya[1]=(double)(y_init[1]+erre5[0]*r12*h+erre5[1]*r22*h+erre5[2]*r32*h+erre5[3]*r42*h+erre5[4]*r52*h);
funrk(x+acca[4]*h,ya,eq);
r61=eq[0];
r62=eq[1];
/*
err=(fabs(erre[0]*r11+erre[1]*r31+erre[2]*r41+erre[3]*r51+erre[4]*r61)*h); /* estimate the error */
/*
h=h/2;
}
while (err>rkfr);
*/
/* y3 y4 weighted average of operators 5^ order */
y[0]=(double)(y_init[0]+(ips5[0]*r11+ips5[2]*r31+ips5[3]*r41+ips5[4]*r51)*h);
y[1]=(double)(y_init[1]+(ips5[0]*r12+ips5[2]*r32+ips5[3]*r42+ips5[4]*r52)*h);
/* ------------------------------------------------------------------------------*/
}
ovmain()
{
char buf[20];
/*double atof(); /* DON'T FORGET THIS */
double x,y[2],y_init[2];
struct data rk;
/* inizialization */
cnt= (int)0.0; /* Reset counter */
y[0] = (double)0.0;
y[1] = (double)0.0;
y_init[0]= (double)0.0; /* init value of current ia(t) (for Harmonic oscillator y_3=10.0) */
y_init[1]= (double)0.0; /* init value of angular speed w(t) (for Harmonic oscillator y_4=10.0) */
x=(double)0.0; /* time in simulation */
/* Start simulation */
scr_clear();
scr_curs(0,0);
puts("Pocessing...");
/* open and write header data to file */
open(FILE_NAME,O_WRONLY|O_APPEND,0xC3);
write(fd,fbuf,80);
buf[0]='\0'; /* buffers reset */
fbuf[0]='\0';
/* RK main Cycle */
while (x<time) {
runge_kutta(x,h,y_init,y); /* call RKF45 process module */
/* store output in buffer */
ftoa(x,buf,6,2);
strcat(fbuf,outr[0]);
strcat(fbuf,buf); /* store time (x) */
ftoa(y[0],buf,6,2);
strcat(fbuf,outr[1]);
strcat(fbuf,buf); /* store speed i(t) (y3) */
ftoa(y[1],buf,6,2);
strcat(fbuf,outr[2]);
strcat(fbuf,buf); /* store current w(t) (y4) */
/* converting using max floating resolution */
ftoa(y[0],rk.i,14,1); /* ia(t) */
ftoa(y[1],rk.v,14,1); /* w(t) */
puts(fbuf); /* output to screen */
/* write data result to file */
write(fd,rk.i,20); /* write ia(t) */
write(fd,rk.v,20); /* write w(t) */
fbuf[0]='\0'; /* reset buffer */
y_init[0]=y[0]; /* save the current value of y3=ia(t) as new init value y_3 for next RK process step */
y_init[1]=y[1]; /* save the current value of y4=w(t) as new init value y_4 for next RK process step */
x=x+h; /* increment time in simulation */
cnt++; /* renew counter */
}
close(fd); /* close the data file */
puts("Press any key to start plotting...");
getch();
return 0;
}

34
scr/GINIT.c Normal file
View File

@ -0,0 +1,34 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
#include <stdio.h>
#include "d2monplt.h"
/*
extern int clearhgr();
*/
ovmain(screenmode)
unsigned screenmode;
{
switch(screenmode)
{
case 1:
scr_clear();
d2hireson();
clearhgr(911);
maintoaux(0x4000,0x4000+8191,0x4000);
break;
case 2:
d2hiresoff();
scr_clear();
}
return 0;
}

108
scr/INDC.c Normal file
View File

@ -0,0 +1,108 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
/* INPUT MODULE */
#include <math.h>
#include <stdio.h>
/* GENERAL GLOBAL */
extern double h,time;
extern char fbuf[80];
extern int cnt;
/* LOCAL GLOBAL */
char *title = "Runge Kutta Fehlberg integration methods";
char *title1= "DC Motor transient state simulation:";
char *title2= "Current: [ia'(t)=(va/la)-(ra/la)*ia(t)-kf*w(t)/la]";
char *title3= "Anglar speed: [w'(t)=(1/j)*(MM-MC)=(1/j)*(kf*ia(t)-MC)]";
char *title4= "in Aztec C for Apple II 128k series - by Greco Riccardo - Apple ][ Forever!";
char *title5= "Thanks to Bill Buckels for all support - http://www.aztecmuseum.ca/ ";
char *out[3]={" DCMotor h="," ts="," cycles="}; /* always at global */
ovmain()
{
char buf[20],conv[4],rev;
double atof(); /* DON'T FORGET THIS */
IN: /* set screen */
#asm
jsr $c300
#endasm
buf[0]='\0'; /* buffers reset */
fbuf[0]='\0';
/* Presentation */
puts(title);
puts(title1);
puts(title2);
puts(title3);
puts(title4);
puts(title5);
puts(" ");
/* Input data */
do{
puts("Time step integration (Def. 0.01s) h [s] -> ");
h=(double)atof(gets(buf));
} while (h<0 || h<=0.005 || h>0.01);
strcat(fbuf,out[0]);
strcat(fbuf,buf);
do{
puts("Time simulation (Def. 5) ts [s] -> ");
time=(double)atof(gets(buf));
} while (time<0);
strcat(fbuf,out[1]);
strcat(fbuf,buf);
strcat(fbuf,out[2]);
ftoa((time/h),buf,0,1); /* 0 decimal like int */
strncpy(conv,buf,4); /* save cnt to conv first 4 digit*/
strcat(fbuf,buf);
puts(fbuf); /* Input data Review */
puts("Do you want to review input data (Y/N)?");
rev=getch();
if (rev == 'Y' || rev == 'y') goto IN;
/* set screen */
scr_clear();
scr_curs(0,0);
/* Simulation data review */
puts("DC Motor Default parameters set:");
scr_curs(2,0);
puts("Number of input cycles:");
scr_curs(2,31);
puts(conv);
puts("Input voltage E= 160.0 V");
puts("Armor (stator) resistence ra= 9.47 Ohm");
puts("Armor (stator) inductance la= 0.0375 Henry");
puts("Flux gain (kf=k*flux) kf= 0.98 Wb");
puts("Rotor inertia j= 0.011 kg*m2");
puts("Load torque MC= 0.0 kg*m");
puts("");
puts("Press any key to start simulation...");
getch();
return 0;
}

3
MainM.c → scr/MainM.c
View File

@ -1,12 +1,13 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This work is based on 1999-2000 Thesis work of Greco Riccardo.
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
#include <stdio.h>

103
scr/OUTDC.c Normal file
View File

@ -0,0 +1,103 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
#include <math.h>
#include <stdio.h>
#include <fcntl.h>
#include "d2monplt.h"
/* GENERAL GLOBAL */
extern double h,keep;
extern char fbuf[80];
extern int cnt,fd; /* x FILE LOW lEVEL DON'T FORGET THIS */
extern struct data {
char v[20];
char i[20];
};
/* LOCAL GLOBAL */
char *FILE_NAME="dcrk";
ovmain()
{
double nc,ia,w,xscale,iscale,wscale;
int plotx,ploty,plotey,ic,px,py,;
struct data rk;
double atof(); /* DON'T FORGET THIS */
char tx[4];
/* inizialization */
px=(int)0.0;
py=(int)0.0;
ic=(int)0.0;
xscale=(double)100.0; /* set x scale plot */
iscale=(double)1.0; /* set y (ia(t)) scale plot */
wscale=(double)0.5; /* set y (w(t)) scale plot */
nc=(double)0.0;
/* GRAPHICS SECTION */
/* Axes */
for (px=0,py=96;px<=560;++px)
{
d2monoplot(px,py,py,1);
} /*Axis X */
/* for (px=0,py=0;py<=192;++py)
{
d2monoplot(px,py,py,1);
} /* Axis Y */
/* labels */
monoplots("t=",505,36,1,'M');
monoplots("ia(t)=",25,0,1,'M');
monoplots("w(t)=",25,10,1,'M');
/* read first recort (header) for increment file pointr */
open(FILE_NAME,O_RDONLY,0xC3);
read(fd,fbuf,80);
/* Main Plot */
for (ic=0;ic<cnt;ic++)
{
/* read data fromfile */
read(fd,rk.v,20); /* read ia(t) */
read(fd,rk.i,20); /* read w(t) */
/* save data in doubles */
ia=(double)atof(rk.v);
w=(double)atof(rk.i);
/* presentation data*/
monoplots(rk.v,110,0,1,'M');
monoplots(rk.i,110,10,1,'M');
ftoa(nc,tx,2,1);
monoplots(tx,535,36,1,'M');
/* plot graph of data*/
plotx=(int)((nc*xscale)+1);
ploty=(int)((-ia*iscale)+95);
d2monoplot(plotx,ploty,ploty,1); /* ia(t) */
ploty=(int)((-w*wscale)+97);
d2monoplot(plotx,ploty,ploty,1); /* w(t) */
nc=nc+h;
}
close(fd);
getch();
return 0;
}

186
scr/OV1.C Normal file
View File

@ -0,0 +1,186 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
/* INPUT MODULE */
#include <math.h>
#include <stdio.h>
#define micro 1.0e-6
#define kilo 1.0e+3
/* GENERAL GLOBAL */
extern double h,time,time2,sur,r,c,tau,yinit;
extern char fbuf[80];
extern int cnt,z;
/* LOCAL GLOBAL */
char *title = "Runge Kutta and Runge Kutta Fehlberg integration methods";
char *title1= "R-C circuit transient state simulation:";
char *title2= "charge: [vc'(t)=(1/RC)*(E-vc(t))]- [i(t)=(E-vc(t))/R]";
char *title3= "discharge: [vc'(t)=(1/RC)*(-vc(t))] - [i(t)=(-vc(t))/R]";
char *title4= "in Aztec C for Apple II 128k series - by Greco Riccardo - Apple ][ Forever!";
char *title5= "Thanks to Bill Buckels for all support - http://www.aztecmuseum.ca/ ";
char *out[8]={" RCCircuit h="," ts="," td="," E="," R="," C="," vc(0)="," cycles="}; /* always at global */
ovmain()
{
char buf[20],conv[4],rev;
double atof(); /* DON'T FORGET THIS */
IN: /* set screen */
#asm
jsr $c300
#endasm
buf[0]='\0'; /* buffers reset */
fbuf[0]='\0';
/* Presentation */
puts(title);
puts(title1);
puts(title2);
puts(title3);
puts(title4);
puts(title5);
puts(" ");
/* Input data */
do{
puts("Time step integration (Def. 0.01s) h [s] -> ");
h=(double)atof(gets(buf));
} while (h<0 || h<=0.005);
strcat(fbuf,out[0]);
strcat(fbuf,buf);
do{
puts("Time simulation charge (Def. 5) ts [s] -> ");
time=(double)atof(gets(buf));
} while (time<0);
strcat(fbuf,out[1]);
strcat(fbuf,buf);
do{
puts("Istant time to start discharge (Def. 2.5) (td<=ts) td [s] ->"); /* td istant time to discarge */
time2=(double)atof(gets(buf));
} while (time2<0 || time2>time);
strcat(fbuf,out[2]);
strcat(fbuf,buf);
puts("Input Voltage value (Def. 50) E [Volt] -> "); /* Input step voltage E [V] */
sur=(double)atof(gets(buf));
strcat(fbuf,out[3]);
strcat(fbuf,buf);
do{
puts("Resistence value (Def. 10) R [KiloOhm]-> "); /* Resistence R */
r=(double)atof(gets(buf));
} while (r<=0);
r=(double)(r*(kilo)); /* converting in Farad from here to the end */
ftoa(r,buf,6,1);
strcat(fbuf,out[4]);
strcat(fbuf,buf);
do{
puts("Capacity value (Def. 20) C [micoFarad] -> "); /* Capacity C */
c=(double)atof(gets(buf));
} while (c<=0);
c=(double)(c*(micro)); /* converting in Farad from here to the end */
ftoa(c,buf,6,1); /* new value of c in buf (only for show)*/
strcat(fbuf,out[5]);
strcat(fbuf,buf);
puts("Initial charge condition (Def. 0) (@t=0s) vc(0) [Volt] -> "); /* Iniztial charge condition vc(0) */
yinit=(double)atof(gets(buf));
strcat(fbuf,out[6]);
strcat(fbuf,buf);
/* calc and set parameters */
tau=(double)(r*c); /* Tau=R*C R [Ohm] C [Farad]*/
/*cnt=(int)(time/h);*/
strcat(fbuf,out[7]);
ftoa((time/h),buf,0,1); /* 0 decimal like int */
strncpy(conv,buf,4); /* save cnt to conv first 4 digit*/
strcat(fbuf,buf);
puts(fbuf); /* Input data Review */
puts("Do you want to review input data (Y/N)?");
rev=getch();
if (rev == 'Y' || rev == 'y') goto IN;
/* reset buffers */
fbuf[0]='\0';
buf[0]='\0';
/* set screen */
scr_clear();
scr_curs(0,0);
/* Simulation data review */
puts("Simulation parameters set:");
scr_curs(2,0);
puts("Number of input cycles:");
scr_curs(2,31);
puts(conv);
puts("Input voltage E=");
scr_curs(3,31);
puts(ftoa(sur,buf,4,1)); /* 14 digits in double precision */
scr_curs(3,50);
puts("V");
puts("Init value vc(0)=");
scr_curs(4,31);
puts(ftoa(yinit,buf,4,1));
scr_curs(4,50);
puts("V");
puts("Circuit time constant Tau=R*C=");
scr_curs(5,31);
puts(ftoa(tau,buf,14,1));
scr_curs(5,50);
puts("s");
puts("Time step integration h=");
scr_curs(6,31);
puts(ftoa(h,buf,6,1));
scr_curs(6,50);
puts("s");
puts("Time simulation ts = ");
scr_curs(7,31);
puts(ftoa(time,buf,4,1));
scr_curs(7,50);
puts("s");
puts("");
puts("Do you want to plot exact solution too (Y/N)?");
rev=getch();
if (rev == 'Y' || rev == 'y') z=1;
rev='1';
puts("Select the method [1]= RK4 - [2]= RKF(4)5");
rev=getch();
/*puts("Press any key to start simulation...");
getch();*/
if (rev=='2') return 2;
else return 1;
return 0;
}

207
scr/OV2.C Normal file
View File

@ -0,0 +1,207 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
/* PROCESS MODULE */
#include <math.h>
#include <stdio.h>
#include <fcntl.h>
#include <errno.h>
#define chk 1 /* set chk to 1 charge */
#define rk4r 5.0e-3 /* RK4 max resolution h<rk4r */
/* GENERAL GLOBAL */
extern double sur,r,c,tau,h,time,time2,yinit,keep;
extern char fbuf[80];
extern int cnt,fd;
extern struct data {
char v[20];
char i[20];
char ideal[20];
};
/* LOCAL GLOBAL */
char *outr[4]={"t="," vc(t)="," vcerr(t)="," i(t)="};
char *FILE_NAME="rcrk";
double swi;
/* Functions sets */
int funrk(x,y,frk)
double x,y,*frk;
{
frk[0] = (double)(((sur*swi)-y)/tau); /* RC Circuit Voltage frk[0]=vc'(t) Charge differential equation */
} /* vc'(t)=(1/RC)*(E-vc(t)) charge*/
/* vc'(t)=(1/RC)*(-vc(t)) discharge */
double current(v)
double(v);
{
return(((sur*swi)-v)/r); /* i(t)=(E-vc(t))/R charge*/
} /* i(t)=(-vc(t))/R discharge */
double exact(x)
double(x);
{
return (((yinit-sur)*exp(-x/tau))+sur); /* Exact solution charge vc(t)=(vc(0)-E)*exp(-t/RC)+E */
}
double exact2(x)
double (x);
{
return (keep*exp(-x/tau)); /* Exact solution discharge vc(t)=(vc(td))*exp(-t/RC) */
}
/*RK4 Module */
int runge_kutta(x,y,h,y3)
double x,y,h,*y3;
{
double r1,r2,r3,r4,r5,h1,err,y3err,y3div,frk,frkerr;
/* RK inizialization */
y3[0] = (double)0.0;
y3err = (double)2.0;
y3div = (double)6.0;
frk = (double)0.0;
frkerr = (double)0.5;
err=(double)0.0;
do
{
h1=(double)0.5*h;
funrk(x,y,&frk); /* 1^ order */
r1=h*frk;
funrk(x+h1,(double)y+frkerr*r1,&frk); /* 2^ order */
r2=h*frk;
funrk(x+h1,(double)y+frkerr+r2,&frk); /* 3^ order */
r3=h*frk;
funrk(x+h,(double)y+r3,&frk); /* 4^ order */
r4=h*frk;
funrk(x+h,(double)y+r4,&frk); /* 5^ order */
r5=h*frk;
err=fabs(r4-r5); /* etimate the error */
h=h/2;
}
while (err>rk4r); /* RK4 max resolution */
/* y3 plus weighted average of operators 4^ order */
y3[0] = (double)(y+(r1+y3err*r2+y3err*r3+r4)/y3div);
}
ovmain()
{
char buf[20],rev;/*conv[4]*/
double atof(); /* DON'T FORGET THIS */
double x,x2,nc,y3,y,errtx,cur,exa;
struct data rk;
/* inizialization */
cnt=(int)0.0; /* Reset counter */
y3 = (double)0.0;
x=(double)0.0; /* time simulation */
x2=(double)0.0; /* time discharge */
keep=(double)0.0;
swi=(double)1.0; /* switch set to 1 = charge */
y=yinit; /* set initial condition parameter vc(o) */
/* Start simulation */
scr_clear();
scr_curs(0,0);
puts("Pocessing...");
/* open and write header data to file */
open(FILE_NAME,O_WRONLY|O_APPEND,0xC3);
write(fd,fbuf,80);
buf[0]='\0'; /* buffers reset */
fbuf[0]='\0';
/* RK main Cycle */
while (x<time) {
runge_kutta(x,y,h,&y3);
cur=current(y3);
if (x <= time2)
{
exa=(double)exact(x);
errtx=(double)fabs(y3-exa); /* exact solution in charge */
}
if (x > time2)
{
if (chk)
{
swi=(double)0.0; /* switch set to 0 = discharge */
keep=(double)y3; /* keep the value of vc(td) in the istant of discharge */
!chk; /* NOT chk */
}
exa=(double)exact2(x2);
errtx=(double)fabs(y3-exa); /* exact solution in discharge */
x2=x2+h;
}
/* store output in buffer */
ftoa(x,buf,6,2);
strcat(fbuf,outr[0]);
strcat(fbuf,buf); /* store time (x) */
ftoa(y3,buf,6,2);
strcat(fbuf,outr[1]);
strcat(fbuf,buf); /* store voltage vc(t) (y3) */
ftoa(errtx,buf,6,2);
strcat(fbuf,outr[2]);
strcat(fbuf,buf); /* store voltage error vcerr(t) (errtx) */
ftoa(cur,buf,6,2);
strcat(fbuf,outr[3]);
strcat(fbuf,buf); /* store current i(t) (cur) */
/* converting using max floating resolution */
ftoa(y3,rk.v,14,1); /* vc(t) */
ftoa(cur,rk.i,14,1); /* i(t) */
ftoa(exa,rk.ideal,14,1); /* vc(t) exact solution */
puts(fbuf); /* output to screen */
/* write data result to file */
write(fd,rk.v,20); /* write vc(t) */
write(fd,rk.i,20); /* write i(t) */
write(fd,rk.ideal,20); /* write vc(t) exact solution */
fbuf[0]='\0'; /* reset buffer */
y=y3;
x=x+h;
cnt++; /* renew counter */
}
close(fd); /* close the data file */
/*printf("Cycles number= %d",(cnt-1)); /* NOT YET itoa ? */
puts("Press any key to start plotting...");
getch();
return 0;
}

243
scr/OV2F.c Normal file
View File

@ -0,0 +1,243 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
/* PROCESS MODULE */
#include <math.h>
#include <stdio.h>
#include <fcntl.h>
#include <errno.h>
#define chk 1 /* set chk to 1 charge */
#define rkfr 1.0e-6 /* RKF max resolution h<rk4r */
/*#define hmax 0.25 /* need for adaptative step
#define emax 20.0e-3
#define emin 10.0e-3*/
/* GENERAL GLOBAL */
extern double sur,r,c,tau,h,time,time2,yinit,keep;
extern char fbuf[80];
extern int cnt,fd;
extern struct data {
char v[20];
char i[20];
char ideal[20];
};
/* LOCAL GLOBAL */
char *outr[4]={"t="," vc(t)="," vcerr(t)="," i(t)="};
char *FILE_NAME="rcrk";
double swi;
/*Fehlberg parameters */
double acca[5]={1.0/4.0,3.0/8.0,12.0/13.0,1.0,1.0/2.0};
double erre1[5]={1.0/4.0,0.0,0.0,0.0,0.0};
double erre2[5]={3.0/32.0,9.0/32.0,0.0,0.0,0.0};
double erre3[5]={1932.0/2197.0,-7200.0/2197.0,7296.0/2197.0,0.0,0.0};
double erre4[5]={439.0/216.0,-8.0,3680.0/513.0,-845.0/4104.0,0.0};
double erre5[5]={-8.0/27.0,2.0,-3544.0/2565.0,1859.0/4104.0,-11.0/40.0};
double erre[5]={1.0/360.0,-128.0/4275.0,-2197.0/75240.0,1.0/50.0,2.0/55.0};
double ips5[5]={25.0/216.0,0.0,1408.0/2565.0,2197.0/4104.0,-1.0/5.0};
/*double ips6[6]={16.0/135.0,0.0,6656.0/12825.0,28561.0/56430.0,-9.0/50.0,2.0/55.0};*/
/* Functions sets */
int funrk(x,y,frk)
double x,y,*frk;
{
frk[0] = (double)(((sur*swi)-y)/tau); /* RC Circuit Voltage frk[0]=vc'(t) Charge differential equation */
} /* vc'(t)=(1/RC)*(E-vc(t)) charge*/
/* vc'(t)=(1/RC)*(-vc(t)) discharge */
double current(v)
double(v);
{
return(((sur*swi)-v)/r); /* i(t)=(E-vc(t))/R charge*/
} /* i(t)=(-vc(t))/R discharge */
double exact(x)
double(x);
{
return (((yinit-sur)*exp(-x/tau))+sur); /* Exact solution charge vc(t)=(vc(0)-E)*exp(-t/RC)+E */
}
double exact2(x)
double (x);
{
return (keep*exp(-x/tau)); /* Exact solution discharge vc(t)=(vc(td))*exp(-t/RC) */
}
/*RKF45 Module */
int runge_kutta(x,y,h,y3)
double x,y,h,*y3;
{
double r1,r2,r3,r4,r5,r6,frk,err; /*sigma,div,div2;
/* RK inizialization */
y3[0] = (double)0.0;
frk = (double)0.0;
err=(double)0.0;
/* do
{
/* 1^ order */
funrk(x,y,&frk);
r1=frk;
/* 2^ order */
funrk(x+acca[0]*h,(double)y+erre1[0]*r1*h,&frk);
r2=frk;
/* 3^ order */
funrk(x+acca[1]*h,(double)y+erre2[0]*r1*h+erre2[1]*r2*h,&frk);
r3=frk;
/* 4^ order */
funrk(x+acca[2]*h,(double)y+erre3[0]*r1*h+erre3[1]*r2*h+erre3[2]*r3*h,&frk);
r4=frk;
/* 5^ order */
funrk(x+acca[3]*h,(double)y+erre4[0]*r1*h+erre4[1]*r2*h+erre4[2]*r3*h+erre4[3]*r4*h,&frk);
r5=h*frk;
/* 6^ order only for estimated error for adaptative step method
funrk(x+acca[4]*h,(double)y+erre5[0]*r1*h+erre5[1]*r2*h+erre5[2]*r3*h+erre5[3]*r4*h+erre5[4]*r5*h,&frk);
r6=frk;
err=(fabs(erre[0]*r1+erre[1]*r3+erre[2]*r4+erre[3]*r5+erre[4]*r6)*h); /* estimate the error
h=h/2; /*non adaptative*/
/* adaptative step integration
div=(double)(rk4r/err);
div2=(double)pow(div,0.25);
sigma=(double)(0.84*div2);
if (sigma<=0.1) h=0.1*h;
else if (sigma>=4) h=4*h;
else h=sigma*h;
/* Alternative method
if (err>=emax) h=h/2;
if (err<=emin) h=h*2;
if (h>hmax) h=hmax; */
/*
}
while (err>rkfr);
*/
/* y3 weighted average of operators 5^ order */
y3[0]=(double)(y+(ips5[0]*r1+ips5[2]*r3+ips5[3]*r4+ips5[4]*r5)*h);
}
ovmain()
{
char buf[20],rev;
double atof(); /* DON'T FORGET THIS */
double x,x2,nc,y3,y,errtx,cur,exa;
struct data rk;
/* inizialization */
cnt=(int)0.0; /* Reset counter */
y3 = (double)0.0;
x=(double)0.0; /* time in simulation */
x2=(double)0.0; /* time in discharge */
keep=(double)0.0;
swi=(double)1.0; /* switch set to 1 = charge */
y=yinit; /* set initial condition parameter vc(o) */
/*h=hmax; /* need for adaptative step */
/* Start simulation */
scr_clear();
scr_curs(0,0);
puts("Pocessing...");
/* open and write header data to file */
open(FILE_NAME,O_WRONLY|O_APPEND,0xC3);
write(fd,fbuf,80);
buf[0]='\0'; /* buffers reset */
fbuf[0]='\0';
/* RK main Cycle */
while (x<time) {
runge_kutta(x,y,h,&y3);
cur=current(y3);
if (x <= time2)
{
exa=(double)exact(x);
errtx=(double)fabs(y3-exa); /* exact solution in charge */
}
if (x > time2)
{
if (chk)
{
swi=(double)0.0; /* switch set to 0 = discharge */
keep=(double)y3; /* keep the value of vc(td) in the istant of discharge */
!chk; /* NOT chk */
}
exa=(double)exact2(x2);
errtx=(double)fabs(y3-exa); /* exact solution in discharge */
x2=x2+h; /* increment time in discharge */
}
/* store output in buffer */
ftoa(x,buf,6,2);
strcat(fbuf,outr[0]);
strcat(fbuf,buf); /* store time (x) */
ftoa(y3,buf,6,2);
strcat(fbuf,outr[1]);
strcat(fbuf,buf); /* store voltage vc(t) (y3) */
ftoa(errtx,buf,6,2);
strcat(fbuf,outr[2]);
strcat(fbuf,buf); /* store voltage error vcerr(t) (errtx) */
ftoa(cur,buf,6,2);
strcat(fbuf,outr[3]);
strcat(fbuf,buf); /* store current i(t) (cur) */
/* converting using max floating resolution */
ftoa(y3,rk.v,14,1); /* vc(t) */
ftoa(cur,rk.i,14,1); /* i(t) */
ftoa(exa,rk.ideal,14,1); /* vc(t) exact solution */
puts(fbuf); /* output to screen */
/* write data result to file */
write(fd,rk.v,20); /* write vc(t) */
write(fd,rk.i,20); /* write i(t) */
write(fd,rk.ideal,20); /* write vc(t) exact solution */
fbuf[0]='\0'; /* reset buffer */
y=y3;
x=x+h; /* increment time in simulation */
cnt++; /* renew counter */
}
close(fd); /* close the data file */
/*printf("Cycles number= %d",(cnt-1)); /* NOT YET itoa ?*/
puts("Press any key to start plotting...");
getch();
return 0;
}

123
scr/OV3.c Normal file
View File

@ -0,0 +1,123 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
#include <math.h>
#include <stdio.h>
#include <fcntl.h>
#include "d2monplt.h"
/* GENERAL GLOBAL */
extern double h,keep;
extern char fbuf[80];
extern int cnt,fd,z; /* x FILE LOW lEVEL DON'T FORGET THIS */
extern struct data {
char v[20];
char i[20];
char ideal[20];
};
/* LOCAL GLOBAL */
char *FILE_NAME="rcrk";
ovmain()
{
double nc,vr,ir,exa,xscale,iscale,vscale;
int plotx,ploty,plotey,ic,px,py;
struct data rk;
double atof(); /* DON'T FORGET THIS */
char tx[4];
/* inizialization */
px=(int)0.0;
py=(int)0.0;
ic=(int)0.0;
xscale=(double)100.0; /* set x scale plot */
iscale=(double)2500.0; /* set y (i(t)) scale plot */
vscale=(double)1.0; /* set y (vc(t)) scale plot */
nc=(double)0.0;
/* GRAPHICS SECTION */
/* Axes */
for (px=0,py=96;px<=560;++px)
{
d2monoplot(px,py,py,1);
/*d2monoplot(px,py-sur,py-sur,2); /* final voltage value E */
} /*Axis X */
/*
for (px=0,py=0;py<=192;++py)
{
d2monoplot(px,py,py,1);
} /* Axis Y */
/* labels */
monoplots("t=",505,36,1,'M');
monoplots("v(t)=",25,0,1,'M');
monoplots("i(t)=",25,10,1,'M');
/* read first recort (header) for increment file pointr */
open(FILE_NAME,O_RDONLY,0xC3);
read(fd,fbuf,80);
/* Main Plot */
for (ic=0;ic<cnt;ic++)
{
/* read data fromfile */
read(fd,rk.v,20); /* read vc(t) */
read(fd,rk.i,20); /* read i(t) */
read(fd,rk.ideal,20); /* read exact vc(t) */
/* save data in doubles */
vr=(double)atof(rk.v);
ir=(double)atof(rk.i);
exa=(double)atof(rk.ideal);
/* presentation data*/
monoplots(rk.v,110,0,1,'M');
monoplots(rk.i,110,10,1,'M');
ftoa(nc,tx,2,1);
monoplots(tx,535,36,1,'M');
/* plot graph of data*/
plotx=(int)((nc*xscale)+1);
ploty=(int)((-vr*vscale)+95);
d2monoplot(plotx,ploty,ploty,1); /* vc(t) */
ploty=(int)((-ir*iscale)+97);
d2monoplot(plotx,ploty,ploty,1); /* i(t) */
if (z) {
plotey=(int)((-exa*vscale)+95);
d2monoplot(plotx,plotey,plotey,1); /* plot charge exact solution in double pixel */
d2monoplot(plotx+1,plotey,plotey,1);
}
/* if (chk=1)
{
plotey=(int)(-exact(nc)+95); /* Exact solution in charge
}
else
{
plotey=(int)(-exact2(nc,keep)+95); /* Exact solution in discharge
}
d2monoplot(plotx,plotey,plotey,1); /* plot charge exact solution in double pixel
d2monoplot(plotx+1,plotey,plotey,1);
*/
nc=nc+h;
}
close(fd);
getch();
return 0;
}

103
scr/P8FILE.c Normal file
View File

@ -0,0 +1,103 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
#include <stdio.h>
#include <fcntl.h>
#include <errno.h>
#include <prodir.h>
/* GENERAL GLOBAL */
extern int fd; /* x FILE LOW lEVEL DON'T FORGET THIS */
/* LOCAL GLOBAL */
char *FILE_NAME1="rcrk";
char *FILE_NAME2="dcrk";
/* pointing to unused memory at 4192 for a buffer
if this gives problems change to something else */
struct fileinfo *fi = (struct fileinfo *)4192;
int p8create(name, maintype, subtype )
char *name;
unsigned maintype,subtype;
{
int fh;
/* overwrite file if it already exists - set all access */
if((fh=open(name, O_WRONLY|O_TRUNC|O_CREAT,0xc3)) == -1) return fh;
/* close it and get prodos to change the filetype for you */
close(fh);
/* get the fileinfo from ProDOS */
if (getfinfo (name, fi) == -1) {
return -2;
}
/* set the file info to whatever you wish -
you can set other info as well using this call sequence */
fi->file_type = (unsigned char)maintype;
fi->aux_type = subtype;
setfinfo(name,fi);
/* open the file again */
fh=open(name, O_WRONLY,0xc3);
/* return the open handle */
return fh;
}
ovmain(filename)
unsigned filename;
{
switch(filename)
{
case 1:
/* create or or owerwrite output file BIN format */
fd=p8create(FILE_NAME1,6,0);
break;
case 2:
/* create or or owerwrite output file BIN format */
fd=p8create(FILE_NAME2,6,0);
}
if (fd == -1)
{ if (errno == EACCES)
{
puts("unable to access file");
getch();
/*_exit();*/
}
else if (errno == ENOENT)
{
puts("unable to open file");
getch();
/*_exit();*/
}
else
{
puts("open error number");
puts(errno);
getch();
/*_exit();*/
}
}
else if (fd==-2)
{ puts("do not get fileinfo");
}
close(fd);
/*getch(); */
return 0;
}

92
scr/RCRK.C Normal file
View File

@ -0,0 +1,92 @@
/* Copyright (C) 2013 Riccardo Greco rigreco.grc@gmail.com.
*
* This project is based on 1999-2000 Thesis work of Greco Riccardo.
* It implement an Runge Kutta 4(5)^ order integration numerical method of differential equations set
* by use of double precision floating point operation in Aztec C65 language.
* It allow to simulate different mathematical models such as:
* Resistance Capacitor electrical circuit, Direct Current electric motor,
* Alternative Current three phase induction motor.
*
* Thanks to Bill Buckels for his invaluable support:
* Aztec C compilers http://www.aztecmuseum.ca/compilers.htm
*/
#include <stdio.h>
/* GENERAL GLOBAL */
double h,time,time2,sur,r,c,tau,yinit,keep;
char fbuf[80];
int cnt,fd,fd2,z;
struct data {
char v[20];
char i[20];
char ideal[20];
};
int clearhgr(i)
int i;
{
/* Funzioni globali devono essere in modulo principale per essere condivisi
tra sovrapposizioni */
if (i!=911)
{return 0;}
maintoaux (0,0,0);
black();
hgr();
}
main()
{
int a,b,c;
z=0;
b=0;
c=0;
clearhgr(0);
IN:
a=ovloader("mainm");
switch (a){
case 0:
_exit();
break;
case 1:
b=ovloader("ov1"); /* input module */
if (b==2) {
ovloader("p8file",1); /* create or owerwrite work file */
ovloader("ov2f"); /* process module by RKF45*/
}
else {
ovloader("p8file",1); /* create or owerwrite work file rcrk*/
ovloader("ov2"); /* process module by RK4*/