diff options
author | bremner <bremner@09fa754a-f411-0410-976a-da6bfa213b30> | 2006-07-11 11:15:40 +0000 |
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committer | bremner <bremner@09fa754a-f411-0410-976a-da6bfa213b30> | 2006-07-11 11:15:40 +0000 |
commit | fc9b18afa66eca90d15302af3161a09e942c3a37 (patch) | |
tree | 88fca046e389959214bc20bf1b81139dcaca4d8d /rat2int.c | |
parent | f2f3ec70cd3c86583c1eb03b0da63f74b6aefe05 (diff) |
git-svn-id: file:///export/data/bremner/svn/trunk/inetools@5465 09fa754a-f411-0410-976a-da6bfa213b30
Diffstat (limited to 'rat2int.c')
-rw-r--r-- | rat2int.c | 139 |
1 files changed, 139 insertions, 0 deletions
diff --git a/rat2int.c b/rat2int.c new file mode 100644 index 0000000..24c7ade --- /dev/null +++ b/rat2int.c @@ -0,0 +1,139 @@ +/* + * Reads a polyhedron file on stdin with rationals and outputs an equivalent + * system with integer coefficents. + * + * David Bremner. bremner@unb.ca + * + */ +static char rcsid[]="$Id: rat2int.c 2055 2006-04-03 19:41:14Z bremner $"; +#include <stdlib.h> +#include <stdio.h> + +#ifndef LRSMP +#error This file only compiles with LRSMP +#endif + +#include "lrsmp.h" +#include "rat2int.h" + +static long int m,n,type; +#define MP_DIGITS 1000L + +static void lcm3(lrs_mp a,lrs_mp b,lrs_mp c); + + +main(int argc, char **argv) +{ + + + int i,j; + lrs_mp l,g,scratch; + char *type; + lrs_mp *D, *N; + char *ok[]={ "integer", "rational"}; + process_args(argc,argv,DOCSTRING); + lrs_mp_init (MP_DIGITS,stdin,stdout); + scan_for_begin(&m,&n,&type); + + check_type(type, ok , 2); + + printf("%d %d integer\n",m,n); + D=calloc(n,sizeof(lrs_mp)); + N=calloc(n,sizeof(lrs_mp)); + + for (i=0;i<m;i++) { + + for (j=0; j<n; j++){ + readrat(N[j],D[j]); + } + + lcm3(D[0],D[1],l); + + for(j=2;j<n;j++){ + lcm3(l,D[j],l); + } + + mul_row(N,D,l,0); + + /* reinitialize gcd */ + copy(g,N[0]); + copy(scratch,N[1]); + gcd(g,scratch); + + for (j=2; j<n ; j++){ + copy(scratch,N[j]); + gcd(g,scratch); + } + + if (negative(g)) + storesign(g,POS); + + div_row(N,D,g,0); + + for (j=0; j< n; j++){ + pmp("",N[j]); + } + fputs("\n",stdout); + } + + printf("end\n"); + +} + +/* c<- lcm(a,b) */ + +static void lcm3(lrs_mp a,lrs_mp b,lrs_mp c) +{ + lrs_mp gc,ab,scratch; + + copy(gc,a); + copy(scratch,b); + gcd(gc,scratch); + + + mulint(a,b,ab); + + divint(ab,gc,c); + +} + + +mul_row(N,D,l,offset) + lrs_mp *N,*D; + lrs_mp l; + int offset; +{ + lrs_mp factor,scratch; + int j; + + for (j=offset;j<n; j++) { + + /* + * Now multiply each numerator n_i by lcm/d_i. + * Implicitly, each denominator is now lcm + */ + + copy(scratch,l); + divint(scratch,D[j],factor); + mulint(N[j],factor,N[j]); + } + +} + +div_row(N,D,g,offset) + lrs_mp *N,*D; + lrs_mp g; + int offset; +{ + lrs_mp scratch; + int j; + + for (j=0;j<n; j++) + { + copy(scratch,N[j]); + + divint(scratch,g,N[j]); + } + +} + |