Mathc matrices/a136
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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cd01.c |
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/* ------------------------------------ */
/* Save as : cd01.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_guv.h"
/* ------------------------------------ */
#define N (2*C5)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,3,3,0,0,
0,0,5,5,0 };
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(C3,C5)));
double **Vt = i_mR(C3,C5);
c_s_mR(-1,T,R2,C2);
clrscrn();
printf(" Reflexion about the x-axis :\n\n");
printf(" T:");
p_mR(T,S5,P0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
c_nr_mR(Vt,R2,V);
p_mR(V,S3,P0,C9);
G_uv_mR(i_WGnuplot(-10,10,-10,10),Ut,Vt);
printf(" * open the file main.plt with Gnuplot.\n\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 Reflexion about the x-axis : ");
printf("\n ************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | 1 0 0 | ");
printf("\n v = | 0 -1 0 | u ");
printf("\n | 0 0 1 | \n\n");
printf("\n\n ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cd02.c |
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/* ------------------------------------ */
/* Save as : cd02.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_guv.h"
/* ------------------------------------ */
#define N (2*C5)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,3,3,0,0,
0,0,5,5,0 };
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(C3,C5)));
double **Vt = i_mR(C3,C5);
c_s_mR(-1,T,R1,C1);
clrscrn();
printf("\n Reflexion about the y-axis :\n\n");
printf(" T:");
p_mR(T,S5,P0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
mul_mR(T,Ut,Vt);
printf(" V:");
c_nr_mR(Vt,R2,V);
p_mR(V,S3,P0,C9);
G_uv_mR(i_WGnuplot(-10,10,-10,10),Ut,Vt);
printf(" * open the file main.plt with Gnuplot.\n\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 Reflexion about the y-axis : ");
printf("\n ************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n |-1 0 0 | ");
printf("\n v = | 0 1 0 | u ");
printf("\n | 0 0 1 | \n\n");
printf("\n\n ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cd03.c |
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/* ------------------------------------ */
/* Save as : cd03.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_guv.h"
/* ------------------------------------ */
#define N (2*C5)
#define Py (10.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,3,3,0,0,
0,0,5,5,0 };
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(C3,C5)));
double **Vt = i_mR(C3,C5);
c_s_mR( -1,T,R2,C2);
c_s_mR((2*Py),T,R2,C3);
clrscrn();
printf("\n Reflexion about a line parallele with the x-axis : y = %.0f\n\n",Py);
printf(" T:");
p_mR(T,S5,P0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
mul_mR(T,Ut,Vt);
printf(" V:");
c_nr_mR(Vt,R2,V);
p_mR(V,S3,P0,C9);
G_uv_mR(i_WGnuplot(-10,10,-5,25),Ut,Vt);
printf(" * open the file main.plt with Gnuplot.\n\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 Reflexion about a line parallele with the x-axis ");
printf("\n\n\n ************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n | 1 0 0 | ");
printf("\n v = | 0 -1 2*yp | u ");
printf("\n | 0 0 1 | \n\n");
printf("\n\n ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
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cd04.c |
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/* ------------------------------------ */
/* Save as : cd04.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d_strct.h"
#include "d_lastr1.h"
#include "d_guv.h"
/* ------------------------------------ */
#define N (2*C5)
#define Px (5.)
/* ------------------------------------ */
void fun(void)
{
double u[N] ={0,3,3,0,0,
0,0,5,5,0 };
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(C3,C5)));
double **Vt = i_mR(C3,C5);
c_s_mR( -1,T,R1,C1);
c_s_mR((2*Px),T,R1,C3);
clrscrn();
printf("\n Reflexion about a line parallele with the y-axis : xp:%.0f\n\n",Px);
printf(" T:");
p_mR(T,S5,P0,C9);
printf(" U:");
p_mR(U,S3,P0,C9);
printf(" V:");
mul_mR(T,Ut,Vt);
c_nr_mR(Vt,R2,V);
p_mR(V,S3,P0,C9);
G_uv_mR(i_WGnuplot(-5,15,-10,10),Ut,Vt);
printf(" * open the file main.plt with Gnuplot.\n\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 Reflexion about a line parallele with the y-axis ");
printf("\n\n\n ************************* ");
printf("\n\n ");
printf("\n\n ");
printf("\n |-1 0 2*xp | ");
printf("\n v = | 0 1 0 | u ");
printf("\n | 0 0 1 | \n\n");
printf("\n\n ");
printf(" \n\n\n\n\n");
stop();
}
/* ------------------------------------ */
int main(void)
{
hello();
fun();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */