Added cddlib-094h from http://www.inf.ethz.ch/personal/fukudak/cdd_home/

Change-Id: I64519509269e434b1b9ea87c3fe0805e711c0ac9
diff --git a/third_party/cddlib/src/allfaces.c b/third_party/cddlib/src/allfaces.c
new file mode 100644
index 0000000..542f1c2
--- /dev/null
+++ b/third_party/cddlib/src/allfaces.c
@@ -0,0 +1,183 @@
+/* allfaces.c: Test program to call the cdd library cddlib
+   written by Komei Fukuda, fukuda@ifor.math.ethz.ch
+   Version 0.94, August 4, 2005
+   Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd
+*/
+
+/*  This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with this program; if not, write to the Free Software
+    Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
+*/
+
+#include "setoper.h"
+#include "cdd.h"
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include <math.h>
+#include <string.h>
+
+dd_boolean SetInputFile(FILE **f, dd_DataFileType fname)
+{
+  dd_boolean success=dd_FALSE;
+  success=dd_FALSE;
+
+  if ( ( *f = fopen(fname, "r") )!= NULL) {
+    printf("input file %s is open\n", fname);
+    success=dd_TRUE;
+  }
+  else{
+    printf("The input file %s not found\n",fname);
+  }
+  return success;
+}
+
+dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname)
+{
+  dd_boolean success=dd_FALSE;
+
+  if ( (*f = fopen(fname, "w")) != NULL){
+    printf("output file %s is open\n",fname);
+    success=dd_TRUE;
+  }
+  else{
+    printf("The output file %s cannot be opened\n",fname);
+  }
+  return success;
+}
+
+dd_boolean FaceEnum(dd_MatrixPtr M, dd_rowset R, dd_rowset S, dd_boolean rip, dd_colrange mindim)
+{
+  dd_ErrorType err;
+  dd_rowset LL, ImL, RR, SS, Lbasis;
+  dd_rowrange i,iprev=0;
+  dd_colrange j,dim;
+  dd_LPSolutionPtr lps=NULL;
+  dd_boolean success=dd_FALSE;
+
+  set_initialize(&LL, M->rowsize);
+  set_initialize(&RR, M->rowsize);
+  set_initialize(&SS, M->rowsize);
+  set_copy(LL, M->linset); /* rememer the linset. */
+  set_copy(RR, R); /* copy of R. */
+  set_copy(SS, S); /* copy of S. */
+  if (dd_ExistsRestrictedFace(M, R, S, &err)){
+    set_uni(M->linset, M->linset, R);
+	dd_FindRelativeInterior(M, &ImL, &Lbasis, &lps, &err);
+	dim=M->colsize - set_card(Lbasis)-1;
+    set_uni(M->linset, M->linset, ImL);
+	fprintf(stdout,"%ld: ", dim); set_fwrite(stdout,M->linset);
+	if (rip){
+    	/* Write an interior point. */
+	  printf("RIP: (");
+	  for (j=1; j <(lps->d)-1; j++) {
+	    dd_WriteNumber(stdout,lps->sol[j]);
+	  }
+	  printf(")\n");
+	}
+	dd_FreeLPSolution(lps);
+	set_free(ImL);
+	set_free(Lbasis);
+   
+    if (dim>mindim){
+	  for (i=1; i<=M->rowsize; i++){
+	    if (!set_member(i, M->linset) && !set_member(i, S)){
+		  set_addelem(RR, i);
+		  if (iprev) {
+		    set_delelem(RR,iprev);
+		    set_delelem(M->linset,iprev);
+		    set_addelem(SS, iprev);
+		  }
+		  iprev=i;
+		  FaceEnum(M, RR, SS, rip, mindim);
+		}
+	  }
+	}
+  } else if (err!=dd_NoError) goto _L99;
+  success=dd_TRUE;
+
+_L99:
+  set_copy(M->linset, LL); /* restore the linset */
+  set_free(LL);
+  set_free(RR);
+  set_free(SS);
+  return success;
+}
+
+
+
+int main(int argc, char *argv[])
+{
+  dd_MatrixPtr M=NULL;
+  dd_rowrange m;
+  dd_ErrorType err=dd_NoError;
+  dd_rowset R, S;
+  dd_DataFileType inputfile;
+  FILE *reading=NULL;
+  char ch;
+  dd_colrange mindim;
+  dd_boolean rip=dd_FALSE;
+  
+  
+  dd_set_global_constants();  /* First, this must be called. */
+
+  if (argc>1) strcpy(inputfile,argv[1]);
+  if (argc<=1 || !SetInputFile(&reading,argv[1])){
+    dd_WriteProgramDescription(stdout);
+    fprintf(stdout,"\ncddlib test program to list all faces of an H-polyhedron.\n");
+    dd_SetInputFile(&reading,inputfile, &err);
+  }
+  if (err==dd_NoError) {
+    M=dd_PolyFile2Matrix(reading, &err);
+  }
+  else {
+    fprintf(stderr,"Input file not found\n");
+    goto _L99;
+  }
+
+  if (err!=dd_NoError) goto _L99;
+  
+  if (M->representation==dd_Generator){
+    printf("The input is V-representation.  Consider it as H-representation (N)? ");
+    ch=getchar(); getchar();
+    if (ch!='y' && ch!='Y') goto _L99;
+  }
+
+  m=M->rowsize;
+  
+  set_initialize(&R, M->rowsize); 
+  set_initialize(&S, M->rowsize); 
+  
+  printf("Output relative interior points (N)? ");
+  ch=getchar();
+  if (ch=='y' || ch=='Y') rip=dd_TRUE;
+  printf("Minimum dimension of faces to list (0..%ld) ? ",M->colsize-1);
+  scanf("%ld", &mindim);
+  if (mindim>=M->colsize) mindim=M->colsize-1;
+  printf("Minimum dimension is set to %ld.", mindim);
+
+  printf("\n--- FaceEnum (dim: active set) ---\nbegin\n");
+  FaceEnum(M, R, S, rip, mindim);
+  fprintf(stderr,"end\nFaceEnum completed.\n");
+
+  dd_FreeMatrix(M);
+  set_free(R);
+  set_free(S);
+_L99:;
+  if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err);
+  dd_free_global_constants();  /* At the end, this should be called. */
+  return 0;
+}
+
+
+/* end of allfaces.c */