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

Change-Id: I64519509269e434b1b9ea87c3fe0805e711c0ac9
diff --git a/third_party/cddlib/src/minkowski.c b/third_party/cddlib/src/minkowski.c
new file mode 100644
index 0000000..22c5905
--- /dev/null
+++ b/third_party/cddlib/src/minkowski.c
@@ -0,0 +1,157 @@
+/* minkowski.c: Main test program to call the cdd library cddlib
+   written by Komei Fukuda, fukuda@ifor.math.ethz.ch
+   Version 0.93, July 15, 2003
+   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;
+}
+
+
+int main(int argc, char *argv[])
+{
+  dd_PolyhedraPtr poly;
+  dd_LPPtr lp;
+  dd_MatrixPtr M,A;
+  dd_ErrorType err=dd_NoError;
+  dd_DataFileType inputfile,outputfile;
+  FILE *reading=NULL, *writing;
+
+  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);
+    dd_SetInputFile(&reading,inputfile, &err);
+  }
+  if (err==dd_NoError) {
+    M=dd_PolyFile2Matrix(reading, &err);
+  }
+  else {
+    printf("Input file not found\n");
+    goto _L99;
+  }
+
+  if (err!=dd_NoError) goto _L99;
+
+  if (M->objective==dd_LPnone){ /* do representation conversion */
+    poly=dd_DDMatrix2Poly2(M, dd_LexMin, &err);
+    /* equivalent to poly=dd_DDMatrix2Poly2(M, &err) when the second argument is set to dd_LexMin. */
+    if (err!=dd_NoError) goto _L99;
+
+    dd_SetWriteFileName(inputfile, outputfile, 'o', poly->representation);
+    SetWriteFile(&writing, outputfile);
+    dd_WriteProgramDescription(writing);
+    dd_WriteRunningMode(writing, poly);
+    switch (poly->representation) {
+    case dd_Inequality:
+      fprintf(writing, "ext_file: Generators\n");
+      A=dd_CopyGenerators(poly);
+      dd_WriteMatrix(writing,A);
+      dd_FreeMatrix(A);
+      break;
+
+    case dd_Generator:
+      fprintf(writing, "ine_file: Inequalities\n");
+      A=dd_CopyInequalities(poly);
+      dd_WriteMatrix(writing,A);
+      dd_FreeMatrix(A);
+      break;
+
+    default:
+      break;
+    }
+    dd_WriteDDTimes(writing,poly);
+    fclose(writing);
+
+    dd_SetWriteFileName(inputfile, outputfile, 'a', poly->representation);
+    SetWriteFile(&writing, outputfile);
+    dd_WriteAdjacency(writing,poly);
+    fclose(writing);
+
+    dd_SetWriteFileName(inputfile, outputfile, 'j', poly->representation);
+    SetWriteFile(&writing, outputfile);
+    dd_WriteInputAdjacency(writing,poly);
+    fclose(writing);
+
+    dd_SetWriteFileName(inputfile, outputfile, 'i', poly->representation);
+    SetWriteFile(&writing, outputfile);
+    dd_WriteIncidence(writing,poly);
+    fclose(writing);
+
+    dd_SetWriteFileName(inputfile, outputfile, 'n', poly->representation);
+    SetWriteFile(&writing, outputfile);
+    dd_WriteInputIncidence(writing,poly);
+    fclose(writing);
+
+    dd_FreeMatrix(M);
+    dd_FreePolyhedra(poly);
+
+  } else { /* solve the LP */
+    lp=dd_Matrix2LP(M, &err);  if (err!=dd_NoError) goto _L99;
+    dd_LPSolve(lp,dd_DualSimplex,&err);  if (err!=dd_NoError) goto _L99;
+
+    dd_SetWriteFileName(inputfile, outputfile, 's', M->representation);
+    SetWriteFile(&writing, outputfile);
+    dd_WriteLPResult(writing, lp, err);
+    fclose(writing);
+
+    dd_FreeMatrix(M);
+    dd_FreeLPData(lp);
+  }
+_L99:
+  if (err!=dd_NoError) dd_WriteErrorMessages(stdout,err);
+  return 0;
+}
+
+
+/* end of simplecdd.c */