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minpol.c
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minpol.c
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#include <typedef.h>
#include <getput.h>
#include <matrix.h>
#include <base.h>
#include <longtools.h>
#include <bravais.h>
#include <idem.h>
int main(int argc,char **argv){
matrix_TYP **x,
*y,
*z;
int i,
j,
anz;
read_header(argc,argv);
if ((is_option('h') && optionnumber('h')==0) || (FILEANZ < 1)){
printf("Usage: %s file [-r]\n",argv[0]);
printf("\n");
printf("file: matrix_TYP containing a set of integral square matrices.\n");
printf("\n");
printf("Calculates the minimal polynomial of each matrix in file.\n");
printf("WARNING: If a given matrix is not integral, the result will be incorrect.\n");
printf("\n");
printf("-r : calculate the integral roots of the given polynomials.\n");
printf("\n");
if (is_option('h')){
exit(0);
}
else{
exit(31);
}
}
INFO_LEVEL = optionnumber('h');
x = mget_mat(FILENAMES[0],&anz);
for (j=0;j<anz;j++){
y = min_pol(x[j]);
printf("The minimal polynomial to the %d matrix of %s\n",j+1,FILENAMES[0]);
if (y->array.SZ[0][y->cols-1] == 1)
printf(" X^%d",y->cols-1);
else
printf(" %d * X^%d",y->array.SZ[0][y->cols-1],y->cols-1);
for (i=y->cols-2;i>0;i--)
if (y->array.SZ[0][i] > 1)
printf(" + %d * X^%d",y->array.SZ[0][i],i);
else if (y->array.SZ[0][i] < -1)
printf(" - %d * X^%d",-(y->array.SZ[0][i]),i);
else if (y->array.SZ[0][i] == -1)
printf(" - X^%d",i);
else if (y->array.SZ[0][i] == 1)
printf(" + X^%d",i);
if (y->array.SZ[0][0]>0)
printf(" + %d \n",y->array.SZ[0][0]);
else if (y->array.SZ[0][0]<0)
printf(" - %d \n",-(y->array.SZ[0][0]));
printf("\n");
/* put_mat(y,NULL,NULL,2); */
if (is_option('r')){
z = zeros(y);
printf("Integral roots of the polynomial\n");
put_mat(z,NULL,NULL,2);
free_mat(z);
}
free_mat(y);
free_mat(x[j]);
}
free(x);
exit(1);
} /* main */