Application
Installer et compiler ces fichiers c dans votre répertoire de travail.
Vous trouverez le code source et le fichier graphique correspondant à chaque transformation.
L'étude des matrices de transformation fait partie d'un cours de mathématiques et sort du cadre de ce livre.
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cg01.c
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/* ------------------------------------ */
/* Save as : cg01.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_guv.h"
/* ------------------------------------ */
#define N (2*C5)
#define SX (4.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,6,6,0,0,
0,0,4,4,0};
double **U = ca_A_mR(u,i_mR(R2,C5));
double **V = i_mR(R2,C5);
double **T = eye_mR( i_mR(R3,C3));
double **Ut = c_mR(U,lastr_1_mR( i_mR(R3,C5)));
double **Vt = i_mR(R3,C5);
c_s_mR(SX,T,R1,C1);
clrscrn();
printf(" T:\n");
p_mR(T,S5,P0,C9);
printf(" U:\n");
p_mR(U,S3,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
p_mR(c_nr_mR(Vt,R2,V),S3,P0,C9);
G_uv_mR(i_WGnuplot(-30,30,-15,15),
U,V);
printf(" * open the file main.plt with Gnuplot. \n\n");
stop();
f_mR(U);
f_mR(V);
f_mR(T);
f_mR(Ut);
f_mR(Vt);
}
/* ------------------------------------ */
void hello(void)
{
printf("\n\n\n ");
printf("\n Scaling relative to the origine : ");
printf("\n ******************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | Sx 0 0 | ");
printf("\n v = | 0 1 0 | u ");
printf("\n | 0 0 1 | ");
printf("\n\n ");
printf("\n Sx: x-axis scaling factor ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cg02.c
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/* ------------------------------------ */
/* Save as : cg02.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_guv.h"
/* ------------------------------------ */
#define N (2*C5)
#define SY (4.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,6,6,0,0,
0,0,4,4,0};
double **U = ca_A_mR(u,i_mR(R2,C5));
double **V = i_mR(R2,C5);
double **T = eye_mR( i_mR(R3,C3));
double **Ut = c_mR(U,lastr_1_mR( i_mR(R3,C5)));
double **Vt = i_mR(R3,C5);
c_s_mR(SY,T,R2,C2);
clrscrn();
printf(" T:");
p_mR(T,S5,P0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
p_mR(c_nr_mR(Vt,R2,V),S3,P0,C9);
G_uv_mR(i_WGnuplot(-30,30,-5,20),
U,V);
printf(" * open the file main.plt with Gnuplot. \n\n");
stop();
f_mR(U);
f_mR(V);
f_mR(T);
f_mR(Ut);
f_mR(Vt);
}
/* ------------------------------------ */
void hello(void)
{
printf("\n\n\n ");
printf("\n Scaling relative to the origine : ");
printf("\n ******************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | 1 0 0 | ");
printf("\n v = | 0 Sy 0 | u ");
printf("\n | 0 0 1 | ");
printf("\n\n ");
printf("\n Sy: y-axis scaling factor ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cg03.c
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/* ------------------------------------ */
/* Save as : cg03.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_guv.h"
/* ------------------------------------ */
#define N (2*C5)
#define SX (4.)
#define SY (4.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,6,6,0,0,
0,0,4,4,0};
double **U = ca_A_mR(u,i_mR(R2,C5));
double **V = i_mR(R2,C5);
double **T = eye_mR( i_mR(R3,C3));
double **Ut = c_mR(U,lastr_1_mR( i_mR(R3,C5)));
double **Vt = i_mR(R3,C5);
c_s_mR(SX,T,R1,C1);
c_s_mR(SY,T,R2,C2);
clrscrn();
printf(" T:");
p_mR(T,S5,P0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
p_mR(c_nr_mR(Vt,R2,V),S3,P0,C9);
G_uv_mR(i_WGnuplot(-40,40,-20,20),
U,V);
printf(" * open the file main.plt with Gnuplot. \n\n");
stop();
f_mR(U);
f_mR(V);
f_mR(T);
f_mR(Ut);
f_mR(Vt);
}
/* ------------------------------------ */
void hello(void)
{
printf("\n\n\n ");
printf("\n Scaling relative to the origine : ");
printf("\n ******************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | Sx 0 0 | ");
printf("\n v = | 0 Sy 0 | u ");
printf("\n | 0 0 1 | ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cg04.c
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/* ------------------------------------ */
/* Save as : cg04.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_gpuv.h"
/* ------------------------------------ */
#define N (2*C5)
#define SX (4.)
#define PX (10.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,6,6,0,0,
0,0,4,4,0};
double p[N] ={PX,
0 };
double **U = ca_A_mR(u,i_mR(R2,C5));
double **V = i_mR(R2,C5);
double **P = ca_A_mR(p,i_mR(R2,C1));
double **T = eye_mR( i_mR(R3,C3));
double **Ut = c_mR(U,lastr_1_mR( i_mR(R3,C5)));
double **Vt = i_mR(R3,C5);
c_s_mR(SX, T,R1,C1);
c_s_mR((PX*(1-SX)),T,R1,C3);
clrscrn();
printf(" T:");
p_mR(T,5,0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
printf(" P:");
p_mR(P,S5,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
p_mR(c_nr_mR(Vt,R2,V),S3,P0,C9);
G_p_uv_mR(i_WGnuplot(-40,40,-20,20),U,V,P);
printf(" * open the file main.plt with Gnuplot. \n\n");
stop();
f_mR(U);
f_mR(P);
f_mR(V);
f_mR(T);
f_mR(Ut);
f_mR(Vt);
}
/* ------------------------------------ */
void hello(void)
{
printf("\n\n\n ");
printf("\n Scaling relative to a point P(xp,0) : ");
printf("\n ******************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | Sx 0 xp(1-Sx) | ");
printf("\n v = | 0 1 0 | u ");
printf("\n | 0 0 1 | ");
printf("\n\n ");
printf("\n Sx: x-axis scaling factor ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cg05.c
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/* ------------------------------------ */
/* Save as : cg05.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_gpuv.h"
/* ------------------------------------ */
#define N (2*C5)
#define SY (4.)
#define PY (10.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,6,6,0,0,
0,0,4,4,0};
double p[N] ={0,
PY };
double **U = ca_A_mR(u,i_mR(R2,C5));
double **V = i_mR(R2,C5);
double **P = ca_A_mR(p,i_mR(R2,C1));
double **T = eye_mR( i_mR(R3,C3));
double **Ut = c_mR(U,lastr_1_mR( i_mR(R3,C5)));
double **Vt = i_mR(R3,C5);
c_s_mR(SY, T,R2,C2);
c_s_mR((PY*(1-SY)),T,R2,C3);
clrscrn();
printf(" T:");
p_mR(T,5,0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
printf(" P:");
p_mR(P,S5,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
p_mR(c_nr_mR(Vt,R2,V),S3,P0,C9);
G_p_uv_mR(i_WGnuplot(-30,30,-35,20),
U,V,P);
printf(" * open the file main.plt with Gnuplot. \n\n");
stop();
f_mR(U);
f_mR(P);
f_mR(V);
f_mR(T);
f_mR(Ut);
f_mR(Vt);
}
/* ------------------------------------ */
void hello(void)
{
printf("\n\n\n ");
printf("\n Scaling relative to a point P(0,yp) : ");
printf("\n ******************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | 1 0 0 | ");
printf("\n v = | 0 Sy yp(1-Sy) | u ");
printf("\n | 0 0 1 | ");
printf("\n\n ");
printf("\n Sy: y-axis scaling factor ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cg06.c
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/* ------------------------------------ */
/* Save as : cg06.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_gpuv.h"
/* ------------------------------------ */
#define N (2*C5)
#define SX (4.)
#define PX (10.)
#define SY (4.)
#define PY (10.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,6,6,0,0,
0,0,4,4,0};
double p[N] ={PX,
PY};
double **U = ca_A_mR(u,i_mR(R2,C5));
double **V = i_mR(R2,C5);
double **P = ca_A_mR(p,i_mR(R2,C1));
double **T = eye_mR( i_mR(R3,C3));
double **Ut = c_mR(U,lastr_1_mR( i_mR(R3,C5)));
double **Vt = i_mR(R3,C5);
c_s_mR(SX, T,R1,C1);
c_s_mR((PX*(1-SX)),T,R1,C3);
c_s_mR(SY, T,R2,C2);
c_s_mR((PY*(1-SY)),T,R2,C3);
clrscrn();
printf(" T:");
p_mR(T,S5,P0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
printf(" P:");
p_mR(P,S5,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
p_mR(c_nr_mR(Vt,R2,V),S3,P0,C9);
G_p_uv_mR(i_WGnuplot(-40,40,-35,20),
U,V,P);
printf(" * open the file main.plt with Gnuplot. \n\n");
stop();
f_mR(U);
f_mR(P);
f_mR(V);
f_mR(T);
f_mR(Ut);
f_mR(Vt);
}
/* ------------------------------------ */
void hello(void)
{
printf("\n\n\n ");
printf("\n Scaling relative to a point P(xp,yp) : ");
printf("\n ******************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | Sx 0 xp(1-Sx) | ");
printf("\n v = | 0 Sy yp(1-Sy) | u ");
printf("\n | 0 0 1 | ");
printf("\n\n ");
printf("\n Sx: x-axis scaling factor ");
printf("\n Sy: y-axis scaling factor ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
