===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/nd.h,v
retrieving revision 1.36
retrieving revision 1.37
diff -u -p -r1.36 -r1.37
--- OpenXM_contrib2/asir2000/engine/nd.h	2017/02/21 09:20:23	1.36
+++ OpenXM_contrib2/asir2000/engine/nd.h	2017/09/14 01:34:54	1.37
@@ -1,4 +1,4 @@
-/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.h,v 1.35 2017/01/08 03:05:40 noro Exp $ */
+/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.h,v 1.36 2017/02/21 09:20:23 noro Exp $ */
 #include "ca.h"
 #include "parse.h"
 #include "ox.h"
@@ -347,6 +347,10 @@ INLINE int nd_length(ND p);
 NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz);
 NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0, ND_pairs *nz);
 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,
+	NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz);
+NODE nd_f4_red_mod_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,
+	NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz);
+NODE nd_f4_red_sf_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,
 	NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz);
 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col,
 	NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred);