diff --git a/regtest/adjmat/rt-dfg-wcsurf/plumed.dat b/regtest/adjmat/rt-dfg-wcsurf/plumed.dat
index 009c6f93e686301ccdf3f0e8a4753fdc170fd016..e0b4cc6bd4aed01b14707e58dbad5218bda64848 100644
--- a/regtest/adjmat/rt-dfg-wcsurf/plumed.dat
+++ b/regtest/adjmat/rt-dfg-wcsurf/plumed.dat
@@ -5,4 +5,4 @@ dfs: DFSCLUSTERING MATRIX=mat
 clust1: CLUSTER_PROPERTIES CLUSTERS=dfs CLUSTER=1 
 
 dens: MULTICOLVARDENS DATA=clust1 ORIGIN=1 DIR=xyz NBINS=30,30,30 BANDWIDTH=0.1,0.1,0.1
-FIND_CONTOUR GRID=dens CONTOUR=250.0 FILE=surface.xyz PRECISION=4 UNITS=A 
+FIND_CONTOUR GRID=dens CONTOUR=250.0 USE_ALL_DATA FILE=surface.xyz PRECISION=4 UNITS=A 
diff --git a/regtest/analysis/rt-cube/fesA1.cube.reference b/regtest/analysis/rt-cube/fesA1.cube.reference
index 2fb4d61fefdcfbcf8e97547c53b704eb7d197e79..f75ad51cf2cbd34923042250e48c341427109131 100644
--- a/regtest/analysis/rt-cube/fesA1.cube.reference
+++ b/regtest/analysis/rt-cube/fesA1.cube.reference
@@ -1,207 +1,207 @@
 PLUMED CUBE FILE
 OUTER LOOP: X, MIDDLE LOOP: Y, INNER LOOP: Z
-1   -1.650   -1.650   -1.650
-10    0.300    0.000    0.000
-10    0.000    0.300    0.000
-10    0.000    0.000    0.300
-1    0.000    0.000    0.000
-   16.849   15.812   14.995   14.398   14.021   13.862
-   13.921   14.197   14.690   15.399
-   15.812   14.771   13.949   13.347   12.964   12.798
-   12.850   13.119   13.603   14.302
-   14.995   13.949   13.123   12.515   12.125   11.952
-   11.996   12.256   12.731   13.419
-   14.398   13.347   12.515   11.901   11.503   11.323
-   11.358   11.608   12.072   12.750
-   14.021   12.964   12.125   11.503   11.098   10.909
-   10.935   11.174   11.627   12.293
-   13.862   12.798   11.952   11.323   10.909   10.710
-   10.725   10.954   11.395   12.048
-   13.921   12.850   11.996   11.358   10.935   10.725
-   10.730   10.946   11.375   12.015
-   14.197   13.119   12.256   11.608   11.174   10.954
-   10.946   11.150   11.566   12.192
-   14.690   13.603   12.731   12.072   11.627   11.395
-   11.375   11.566   11.968   12.581
-   15.399   14.302   13.419   12.750   12.293   12.048
-   12.015   12.192   12.581   13.179
-   15.812   14.771   13.949   13.347   12.964   12.798
-   12.850   13.119   13.603   14.302
-   14.771   13.725   12.898   12.290   11.901   11.728
-   11.772   12.032   12.506   13.195
-   13.949   12.898   12.066   11.451   11.054   10.874
-   10.909   11.159   11.623   12.301
-   13.347   12.290   11.451   10.830   10.425   10.236
-   10.261   10.501   10.954   11.620
-   12.964   11.901   11.054   10.425   10.011    9.812
-    9.827   10.056   10.497   11.150
-   12.798   11.728   10.874   10.236    9.812    9.603
-    9.607    9.824   10.252   10.892
-   12.850   11.772   10.909   10.261    9.827    9.607
-    9.599    9.803   10.219   10.845
-   13.119   12.032   11.159   10.501   10.056    9.824
-    9.803    9.994   10.396   11.009
-   13.603   12.506   11.623   10.954   10.497   10.252
-   10.219   10.396   10.785   11.383
-   14.302   13.195   12.301   11.620   11.150   10.892
-   10.845   11.009   11.383   11.968
-   14.995   13.949   13.123   12.515   12.125   11.952
-   11.996   12.256   12.731   13.419
-   13.949   12.898   12.066   11.451   11.054   10.874
-   10.909   11.159   11.623   12.301
-   13.123   12.066   11.227   10.605   10.200   10.011
-   10.037   10.276   10.730   11.395
-   12.515   11.451   10.605    9.976    9.562    9.363
-    9.379    9.607   10.048   10.701
-   12.125   11.054   10.200    9.562    9.139    8.930
-    8.934    9.150    9.579   10.219
-   11.952   10.874   10.011    9.363    8.930    8.709
-    8.701    8.905    9.321    9.947
-   11.996   10.909   10.037    9.379    8.934    8.701
-    8.681    8.872    9.274    9.887
-   12.256   11.159   10.276    9.607    9.150    8.905
-    8.872    9.049    9.438   10.036
-   12.731   11.623   10.730   10.048    9.579    9.321
-    9.274    9.438    9.812   10.396
-   13.419   12.301   11.395   10.701   10.219    9.947
-    9.887   10.036   10.396   10.967
-   14.398   13.347   12.515   11.901   11.503   11.323
-   11.358   11.608   12.072   12.750
-   13.347   12.290   11.451   10.830   10.425   10.236
-   10.261   10.501   10.954   11.620
-   12.515   11.451   10.605    9.976    9.562    9.363
-    9.379    9.607   10.048   10.701
-   11.901   10.830    9.976    9.338    8.914    8.705
-    8.709    8.926    9.354    9.994
-   11.503   10.425    9.562    8.914    8.481    8.260
-    8.252    8.456    8.872    9.498
-   11.323   10.236    9.363    8.705    8.260    8.028
-    8.007    8.198    8.600    9.213
-   11.358   10.261    9.379    8.709    8.252    8.007
-    7.974    8.151    8.540    9.138
-   11.608   10.501    9.607    8.926    8.456    8.198
-    8.151    8.315    8.689    9.274
-   12.072   10.954   10.048    9.354    8.872    8.600
-    8.540    8.689    9.049    9.620
-   12.750   11.620   10.701    9.994    9.498    9.213
-    9.138    9.274    9.620   10.178
-   14.021   12.964   12.125   11.503   11.098   10.909
-   10.935   11.174   11.627   12.293
-   12.964   11.901   11.054   10.425   10.011    9.812
-    9.827   10.056   10.497   11.150
-   12.125   11.054   10.200    9.562    9.139    8.930
-    8.934    9.150    9.579   10.219
-   11.503   10.425    9.562    8.914    8.481    8.260
-    8.252    8.456    8.872    9.498
-   11.098   10.011    9.139    8.481    8.036    7.803
-    7.783    7.974    8.376    8.989
-   10.909    9.812    8.930    8.260    7.803    7.558
-    7.525    7.703    8.091    8.689
-   10.935    9.827    8.934    8.252    7.783    7.525
-    7.478    7.642    8.016    8.600
-   11.174   10.056    9.150    8.456    7.974    7.703
-    7.642    7.791    8.152    8.722
-   11.627   10.497    9.579    8.872    8.376    8.091
-    8.016    8.152    8.498    9.055
-   12.293   11.150   10.219    9.498    8.989    8.689
-    8.600    8.722    9.055    9.599
-   13.862   12.798   11.952   11.323   10.909   10.710
-   10.725   10.954   11.395   12.048
-   12.798   11.728   10.874   10.236    9.812    9.603
-    9.607    9.824   10.252   10.892
-   11.952   10.874   10.011    9.363    8.930    8.709
-    8.701    8.905    9.321    9.947
-   11.323   10.236    9.363    8.705    8.260    8.028
-    8.007    8.198    8.600    9.213
-   10.909    9.812    8.930    8.260    7.803    7.558
-    7.525    7.703    8.091    8.689
-   10.710    9.603    8.709    8.028    7.558    7.301
-    7.254    7.417    7.791    8.376
-   10.725    9.607    8.701    8.007    7.525    7.254
-    7.193    7.342    7.703    8.273
-   10.954    9.824    8.905    8.198    7.703    7.417
-    7.342    7.478    7.824    8.382
-   11.395   10.252    9.321    8.600    8.091    7.791
-    7.703    7.824    8.157    8.701
-   12.048   10.892    9.947    9.213    8.689    8.376
-    8.273    8.382    8.701    9.233
-   13.921   12.850   11.996   11.358   10.935   10.725
-   10.730   10.946   11.375   12.015
-   12.850   11.772   10.909   10.261    9.827    9.607
-    9.599    9.803   10.219   10.845
-   11.996   10.909   10.037    9.379    8.934    8.701
-    8.681    8.872    9.274    9.887
-   11.358   10.261    9.379    8.709    8.252    8.007
-    7.974    8.151    8.540    9.138
-   10.935    9.827    8.934    8.252    7.783    7.525
-    7.478    7.642    8.016    8.600
-   10.725    9.607    8.701    8.007    7.525    7.254
-    7.193    7.342    7.703    8.273
-   10.730    9.599    8.681    7.974    7.478    7.193
-    7.118    7.254    7.600    8.157
-   10.946    9.803    8.872    8.151    7.642    7.342
-    7.254    7.375    7.708    8.252
-   11.375   10.219    9.274    8.540    8.016    7.703
-    7.600    7.708    8.028    8.559
-   12.015   10.845    9.887    9.138    8.600    8.273
-    8.157    8.252    8.559    9.079
-   14.197   13.119   12.256   11.608   11.174   10.954
-   10.946   11.150   11.566   12.192
-   13.119   12.032   11.159   10.501   10.056    9.824
-    9.803    9.994   10.396   11.009
-   12.256   11.159   10.276    9.607    9.150    8.905
-    8.872    9.049    9.438   10.036
-   11.608   10.501    9.607    8.926    8.456    8.198
-    8.151    8.315    8.689    9.274
-   11.174   10.056    9.150    8.456    7.974    7.703
-    7.642    7.791    8.152    8.722
-   10.954    9.824    8.905    8.198    7.703    7.417
-    7.342    7.478    7.824    8.382
-   10.946    9.803    8.872    8.151    7.642    7.342
-    7.254    7.375    7.708    8.252
-   11.150    9.994    9.049    8.315    7.791    7.478
-    7.375    7.484    7.803    8.335
-   11.566   10.396    9.438    8.689    8.152    7.824
-    7.708    7.803    8.110    8.630
-   12.192   11.009   10.036    9.274    8.722    8.382
-    8.252    8.335    8.630    9.139
-   14.690   13.603   12.731   12.072   11.627   11.395
-   11.375   11.566   11.968   12.581
-   13.603   12.506   11.623   10.954   10.497   10.252
-   10.219   10.396   10.785   11.383
-   12.731   11.623   10.730   10.048    9.579    9.321
-    9.274    9.438    9.812   10.396
-   12.072   10.954   10.048    9.354    8.872    8.600
-    8.540    8.689    9.049    9.620
-   11.627   10.497    9.579    8.872    8.376    8.091
-    8.016    8.152    8.498    9.055
-   11.395   10.252    9.321    8.600    8.091    7.791
-    7.703    7.824    8.157    8.701
-   11.375   10.219    9.274    8.540    8.016    7.703
-    7.600    7.708    8.028    8.559
-   11.566   10.396    9.438    8.689    8.152    7.824
-    7.708    7.803    8.110    8.630
-   11.968   10.785    9.812    9.049    8.498    8.157
-    8.028    8.110    8.406    8.914
-   12.581   11.383   10.396    9.620    9.055    8.701
-    8.559    8.630    8.914    9.412
-   15.399   14.302   13.419   12.750   12.293   12.048
-   12.015   12.192   12.581   13.179
-   14.302   13.195   12.301   11.620   11.150   10.892
-   10.845   11.009   11.383   11.968
-   13.419   12.301   11.395   10.701   10.219    9.947
-    9.887   10.036   10.396   10.967
-   12.750   11.620   10.701    9.994    9.498    9.213
-    9.138    9.274    9.620   10.178
-   12.293   11.150   10.219    9.498    8.989    8.689
-    8.600    8.722    9.055    9.599
-   12.048   10.892    9.947    9.213    8.689    8.376
-    8.273    8.382    8.701    9.233
-   12.015   10.845    9.887    9.138    8.600    8.273
-    8.157    8.252    8.559    9.079
-   12.192   11.009   10.036    9.274    8.722    8.382
-    8.252    8.335    8.630    9.139
-   12.581   11.383   10.396    9.620    9.055    8.701
-    8.559    8.630    8.914    9.412
-   13.179   11.968   10.967   10.178    9.599    9.233
-    9.079    9.139    9.412    9.901
+1   -1.650   -1.650   -1.650 
+10    0.300    0.000    0.000 
+10    0.000    0.300    0.000 
+10    0.000    0.000    0.300 
+1    0.000    0.000    0.000 
+  16.849   15.812   14.995   14.398   14.021   13.862 
+  13.921   14.197   14.690   15.399 
+  15.812   14.771   13.949   13.347   12.964   12.798 
+  12.850   13.119   13.603   14.302 
+  14.995   13.949   13.123   12.515   12.125   11.952 
+  11.996   12.256   12.731   13.419 
+  14.398   13.347   12.515   11.900   11.503   11.323 
+  11.358   11.608   12.072   12.750 
+  14.021   12.964   12.125   11.503   11.098   10.909 
+  10.935   11.174   11.627   12.293 
+  13.862   12.798   11.952   11.323   10.909   10.710 
+  10.725   10.954   11.395   12.048 
+  13.921   12.850   11.996   11.358   10.935   10.725 
+  10.730   10.946   11.375   12.015 
+  14.197   13.119   12.256   11.608   11.174   10.954 
+  10.946   11.150   11.566   12.192 
+  14.690   13.603   12.731   12.072   11.627   11.395 
+  11.375   11.566   11.968   12.580 
+  15.399   14.302   13.419   12.750   12.293   12.048 
+  12.015   12.192   12.580   13.179 
+  15.812   14.771   13.949   13.347   12.964   12.798 
+  12.850   13.119   13.603   14.302 
+  14.771   13.725   12.898   12.290   11.900   11.728 
+  11.772   12.032   12.506   13.195 
+  13.949   12.898   12.066   11.452   11.054   10.874 
+  10.909   11.159   11.623   12.301 
+  13.347   12.290   11.452   10.830   10.425   10.236 
+  10.261   10.501   10.954   11.620 
+  12.964   11.900   11.054   10.425   10.011    9.812 
+   9.827   10.056   10.497   11.150 
+  12.798   11.728   10.874   10.236    9.812    9.603 
+   9.607    9.824   10.252   10.892 
+  12.850   11.772   10.909   10.261    9.827    9.607 
+   9.599    9.803   10.219   10.845 
+  13.119   12.032   11.159   10.501   10.056    9.824 
+   9.803    9.994   10.396   11.009 
+  13.603   12.506   11.623   10.954   10.497   10.252 
+  10.219   10.396   10.785   11.383 
+  14.302   13.195   12.301   11.620   11.150   10.892 
+  10.845   11.009   11.383   11.968 
+  14.995   13.949   13.123   12.515   12.125   11.952 
+  11.996   12.256   12.731   13.419 
+  13.949   12.898   12.066   11.452   11.054   10.874 
+  10.909   11.159   11.623   12.301 
+  13.123   12.066   11.227   10.605   10.200   10.011 
+  10.037   10.276   10.730   11.395 
+  12.515   11.452   10.605    9.976    9.562    9.363 
+   9.379    9.607   10.048   10.701 
+  12.125   11.054   10.200    9.562    9.139    8.930 
+   8.934    9.150    9.579   10.219 
+  11.952   10.874   10.011    9.363    8.930    8.709 
+   8.701    8.905    9.321    9.947 
+  11.996   10.909   10.037    9.379    8.934    8.701 
+   8.681    8.872    9.274    9.887 
+  12.256   11.159   10.276    9.607    9.150    8.905 
+   8.872    9.049    9.438   10.036 
+  12.731   11.623   10.730   10.048    9.579    9.321 
+   9.274    9.438    9.812   10.396 
+  13.419   12.301   11.395   10.701   10.219    9.947 
+   9.887   10.036   10.396   10.967 
+  14.398   13.347   12.515   11.900   11.503   11.323 
+  11.358   11.608   12.072   12.750 
+  13.347   12.290   11.452   10.830   10.425   10.236 
+  10.261   10.501   10.954   11.620 
+  12.515   11.452   10.605    9.976    9.562    9.363 
+   9.379    9.607   10.048   10.701 
+  11.900   10.830    9.976    9.338    8.914    8.705 
+   8.709    8.926    9.354    9.994 
+  11.503   10.425    9.562    8.914    8.481    8.260 
+   8.252    8.456    8.872    9.498 
+  11.323   10.236    9.363    8.705    8.260    8.028 
+   8.007    8.198    8.600    9.213 
+  11.358   10.261    9.379    8.709    8.252    8.007 
+   7.974    8.152    8.540    9.138 
+  11.608   10.501    9.607    8.926    8.456    8.198 
+   8.152    8.315    8.689    9.274 
+  12.072   10.954   10.048    9.354    8.872    8.600 
+   8.540    8.689    9.049    9.620 
+  12.750   11.620   10.701    9.994    9.498    9.213 
+   9.138    9.274    9.620   10.178 
+  14.021   12.964   12.125   11.503   11.098   10.909 
+  10.935   11.174   11.627   12.293 
+  12.964   11.900   11.054   10.425   10.011    9.812 
+   9.827   10.056   10.497   11.150 
+  12.125   11.054   10.200    9.562    9.139    8.930 
+   8.934    9.150    9.579   10.219 
+  11.503   10.425    9.562    8.914    8.481    8.260 
+   8.252    8.456    8.872    9.498 
+  11.098   10.011    9.139    8.481    8.036    7.803 
+   7.783    7.974    8.376    8.989 
+  10.909    9.812    8.930    8.260    7.803    7.558 
+   7.525    7.703    8.091    8.689 
+  10.935    9.827    8.934    8.252    7.783    7.525 
+   7.478    7.642    8.016    8.600 
+  11.174   10.056    9.150    8.456    7.974    7.703 
+   7.642    7.791    8.152    8.722 
+  11.627   10.497    9.579    8.872    8.376    8.091 
+   8.016    8.152    8.498    9.055 
+  12.293   11.150   10.219    9.498    8.989    8.689 
+   8.600    8.722    9.055    9.599 
+  13.862   12.798   11.952   11.323   10.909   10.710 
+  10.725   10.954   11.395   12.048 
+  12.798   11.728   10.874   10.236    9.812    9.603 
+   9.607    9.824   10.252   10.892 
+  11.952   10.874   10.011    9.363    8.930    8.709 
+   8.701    8.905    9.321    9.947 
+  11.323   10.236    9.363    8.705    8.260    8.028 
+   8.007    8.198    8.600    9.213 
+  10.909    9.812    8.930    8.260    7.803    7.558 
+   7.525    7.703    8.091    8.689 
+  10.710    9.603    8.709    8.028    7.558    7.301 
+   7.254    7.417    7.791    8.376 
+  10.725    9.607    8.701    8.007    7.525    7.254 
+   7.193    7.342    7.703    8.273 
+  10.954    9.824    8.905    8.198    7.703    7.417 
+   7.342    7.478    7.824    8.382 
+  11.395   10.252    9.321    8.600    8.091    7.791 
+   7.703    7.824    8.157    8.701 
+  12.048   10.892    9.947    9.213    8.689    8.376 
+   8.273    8.382    8.701    9.233 
+  13.921   12.850   11.996   11.358   10.935   10.725 
+  10.730   10.946   11.375   12.015 
+  12.850   11.772   10.909   10.261    9.827    9.607 
+   9.599    9.803   10.219   10.845 
+  11.996   10.909   10.037    9.379    8.934    8.701 
+   8.681    8.872    9.274    9.887 
+  11.358   10.261    9.379    8.709    8.252    8.007 
+   7.974    8.152    8.540    9.138 
+  10.935    9.827    8.934    8.252    7.783    7.525 
+   7.478    7.642    8.016    8.600 
+  10.725    9.607    8.701    8.007    7.525    7.254 
+   7.193    7.342    7.703    8.273 
+  10.730    9.599    8.681    7.974    7.478    7.193 
+   7.118    7.254    7.600    8.157 
+  10.946    9.803    8.872    8.152    7.642    7.342 
+   7.254    7.375    7.708    8.252 
+  11.375   10.219    9.274    8.540    8.016    7.703 
+   7.600    7.708    8.028    8.559 
+  12.015   10.845    9.887    9.138    8.600    8.273 
+   8.157    8.252    8.559    9.079 
+  14.197   13.119   12.256   11.608   11.174   10.954 
+  10.946   11.150   11.566   12.192 
+  13.119   12.032   11.159   10.501   10.056    9.824 
+   9.803    9.994   10.396   11.009 
+  12.256   11.159   10.276    9.607    9.150    8.905 
+   8.872    9.049    9.438   10.036 
+  11.608   10.501    9.607    8.926    8.456    8.198 
+   8.152    8.315    8.689    9.274 
+  11.174   10.056    9.150    8.456    7.974    7.703 
+   7.642    7.791    8.152    8.722 
+  10.954    9.824    8.905    8.198    7.703    7.417 
+   7.342    7.478    7.824    8.382 
+  10.946    9.803    8.872    8.152    7.642    7.342 
+   7.254    7.375    7.708    8.252 
+  11.150    9.994    9.049    8.315    7.791    7.478 
+   7.375    7.484    7.803    8.335 
+  11.566   10.396    9.438    8.689    8.152    7.824 
+   7.708    7.803    8.110    8.630 
+  12.192   11.009   10.036    9.274    8.722    8.382 
+   8.252    8.335    8.630    9.139 
+  14.690   13.603   12.731   12.072   11.627   11.395 
+  11.375   11.566   11.968   12.580 
+  13.603   12.506   11.623   10.954   10.497   10.252 
+  10.219   10.396   10.785   11.383 
+  12.731   11.623   10.730   10.048    9.579    9.321 
+   9.274    9.438    9.812   10.396 
+  12.072   10.954   10.048    9.354    8.872    8.600 
+   8.540    8.689    9.049    9.620 
+  11.627   10.497    9.579    8.872    8.376    8.091 
+   8.016    8.152    8.498    9.055 
+  11.395   10.252    9.321    8.600    8.091    7.791 
+   7.703    7.824    8.157    8.701 
+  11.375   10.219    9.274    8.540    8.016    7.703 
+   7.600    7.708    8.028    8.559 
+  11.566   10.396    9.438    8.689    8.152    7.824 
+   7.708    7.803    8.110    8.630 
+  11.968   10.785    9.812    9.049    8.498    8.157 
+   8.028    8.110    8.406    8.914 
+  12.580   11.383   10.396    9.620    9.055    8.701 
+   8.559    8.630    8.914    9.413 
+  15.399   14.302   13.419   12.750   12.293   12.048 
+  12.015   12.192   12.580   13.179 
+  14.302   13.195   12.301   11.620   11.150   10.892 
+  10.845   11.009   11.383   11.968 
+  13.419   12.301   11.395   10.701   10.219    9.947 
+   9.887   10.036   10.396   10.967 
+  12.750   11.620   10.701    9.994    9.498    9.213 
+   9.138    9.274    9.620   10.178 
+  12.293   11.150   10.219    9.498    8.989    8.689 
+   8.600    8.722    9.055    9.599 
+  12.048   10.892    9.947    9.213    8.689    8.376 
+   8.273    8.382    8.701    9.233 
+  12.015   10.845    9.887    9.138    8.600    8.273 
+   8.157    8.252    8.559    9.079 
+  12.192   11.009   10.036    9.274    8.722    8.382 
+   8.252    8.335    8.630    9.139 
+  12.580   11.383   10.396    9.620    9.055    8.701 
+   8.559    8.630    8.914    9.413 
+  13.179   11.968   10.967   10.178    9.599    9.233 
+   9.079    9.139    9.413    9.901 
diff --git a/regtest/analysis/rt-cube/fesA2.cube.reference b/regtest/analysis/rt-cube/fesA2.cube.reference
index e893cd16f76f1b972a04361530a571e6021ba59e..f75ad51cf2cbd34923042250e48c341427109131 100644
--- a/regtest/analysis/rt-cube/fesA2.cube.reference
+++ b/regtest/analysis/rt-cube/fesA2.cube.reference
@@ -1,207 +1,207 @@
 PLUMED CUBE FILE
 OUTER LOOP: X, MIDDLE LOOP: Y, INNER LOOP: Z
-1   -1.650   -1.650   -1.650
-10    0.300    0.000    0.000
-10    0.000    0.300    0.000
-10    0.000    0.000    0.300
-1    0.000    0.000    0.000
-   16.849   15.812   14.995   14.398   14.021   13.862
-   13.921   14.197   14.690   15.399
-   15.812   14.771   13.949   13.347   12.964   12.798
-   12.850   13.119   13.603   14.302
-   14.995   13.949   13.123   12.515   12.125   11.952
-   11.996   12.256   12.731   13.419
-   14.398   13.347   12.515   11.900   11.503   11.323
-   11.358   11.608   12.072   12.750
-   14.021   12.964   12.125   11.503   11.098   10.909
-   10.935   11.174   11.627   12.293
-   13.862   12.798   11.952   11.323   10.909   10.710
-   10.725   10.954   11.395   12.048
-   13.921   12.850   11.996   11.358   10.935   10.725
-   10.730   10.946   11.375   12.015
-   14.197   13.119   12.256   11.608   11.174   10.954
-   10.946   11.150   11.566   12.192
-   14.690   13.603   12.731   12.072   11.627   11.395
-   11.375   11.566   11.968   12.580
-   15.399   14.302   13.419   12.750   12.293   12.048
-   12.015   12.192   12.580   13.179
-   15.812   14.771   13.949   13.347   12.964   12.798
-   12.850   13.119   13.603   14.302
-   14.771   13.725   12.898   12.290   11.900   11.728
-   11.772   12.032   12.506   13.195
-   13.949   12.898   12.066   11.452   11.054   10.874
-   10.909   11.159   11.623   12.301
-   13.347   12.290   11.452   10.830   10.425   10.236
-   10.261   10.501   10.954   11.620
-   12.964   11.900   11.054   10.425   10.011    9.812
-    9.827   10.056   10.497   11.150
-   12.798   11.728   10.874   10.236    9.812    9.603
-    9.607    9.824   10.252   10.892
-   12.850   11.772   10.909   10.261    9.827    9.607
-    9.599    9.803   10.219   10.845
-   13.119   12.032   11.159   10.501   10.056    9.824
-    9.803    9.994   10.396   11.009
-   13.603   12.506   11.623   10.954   10.497   10.252
-   10.219   10.396   10.785   11.383
-   14.302   13.195   12.301   11.620   11.150   10.892
-   10.845   11.009   11.383   11.968
-   14.995   13.949   13.123   12.515   12.125   11.952
-   11.996   12.256   12.731   13.419
-   13.949   12.898   12.066   11.452   11.054   10.874
-   10.909   11.159   11.623   12.301
-   13.123   12.066   11.227   10.605   10.200   10.011
-   10.037   10.276   10.730   11.395
-   12.515   11.452   10.605    9.976    9.562    9.363
-    9.379    9.607   10.048   10.701
-   12.125   11.054   10.200    9.562    9.139    8.930
-    8.934    9.150    9.579   10.219
-   11.952   10.874   10.011    9.363    8.930    8.709
-    8.701    8.905    9.321    9.947
-   11.996   10.909   10.037    9.379    8.934    8.701
-    8.681    8.872    9.274    9.887
-   12.256   11.159   10.276    9.607    9.150    8.905
-    8.872    9.049    9.438   10.036
-   12.731   11.623   10.730   10.048    9.579    9.321
-    9.274    9.438    9.812   10.396
-   13.419   12.301   11.395   10.701   10.219    9.947
-    9.887   10.036   10.396   10.967
-   14.398   13.347   12.515   11.900   11.503   11.323
-   11.358   11.608   12.072   12.750
-   13.347   12.290   11.452   10.830   10.425   10.236
-   10.261   10.501   10.954   11.620
-   12.515   11.452   10.605    9.976    9.562    9.363
-    9.379    9.607   10.048   10.701
-   11.900   10.830    9.976    9.338    8.914    8.705
-    8.709    8.926    9.354    9.994
-   11.503   10.425    9.562    8.914    8.481    8.260
-    8.252    8.456    8.872    9.498
-   11.323   10.236    9.363    8.705    8.260    8.028
-    8.007    8.198    8.600    9.213
-   11.358   10.261    9.379    8.709    8.252    8.007
-    7.974    8.152    8.540    9.138
-   11.608   10.501    9.607    8.926    8.456    8.198
-    8.152    8.315    8.689    9.274
-   12.072   10.954   10.048    9.354    8.872    8.600
-    8.540    8.689    9.049    9.620
-   12.750   11.620   10.701    9.994    9.498    9.213
-    9.138    9.274    9.620   10.178
-   14.021   12.964   12.125   11.503   11.098   10.909
-   10.935   11.174   11.627   12.293
-   12.964   11.900   11.054   10.425   10.011    9.812
-    9.827   10.056   10.497   11.150
-   12.125   11.054   10.200    9.562    9.139    8.930
-    8.934    9.150    9.579   10.219
-   11.503   10.425    9.562    8.914    8.481    8.260
-    8.252    8.456    8.872    9.498
-   11.098   10.011    9.139    8.481    8.036    7.803
-    7.783    7.974    8.376    8.989
-   10.909    9.812    8.930    8.260    7.803    7.558
-    7.525    7.703    8.091    8.689
-   10.935    9.827    8.934    8.252    7.783    7.525
-    7.478    7.642    8.016    8.600
-   11.174   10.056    9.150    8.456    7.974    7.703
-    7.642    7.791    8.152    8.722
-   11.627   10.497    9.579    8.872    8.376    8.091
-    8.016    8.152    8.498    9.055
-   12.293   11.150   10.219    9.498    8.989    8.689
-    8.600    8.722    9.055    9.599
-   13.862   12.798   11.952   11.323   10.909   10.710
-   10.725   10.954   11.395   12.048
-   12.798   11.728   10.874   10.236    9.812    9.603
-    9.607    9.824   10.252   10.892
-   11.952   10.874   10.011    9.363    8.930    8.709
-    8.701    8.905    9.321    9.947
-   11.323   10.236    9.363    8.705    8.260    8.028
-    8.007    8.198    8.600    9.213
-   10.909    9.812    8.930    8.260    7.803    7.558
-    7.525    7.703    8.091    8.689
-   10.710    9.603    8.709    8.028    7.558    7.301
-    7.254    7.417    7.791    8.376
-   10.725    9.607    8.701    8.007    7.525    7.254
-    7.193    7.342    7.703    8.273
-   10.954    9.824    8.905    8.198    7.703    7.417
-    7.342    7.478    7.824    8.382
-   11.395   10.252    9.321    8.600    8.091    7.791
-    7.703    7.824    8.157    8.701
-   12.048   10.892    9.947    9.213    8.689    8.376
-    8.273    8.382    8.701    9.233
-   13.921   12.850   11.996   11.358   10.935   10.725
-   10.730   10.946   11.375   12.015
-   12.850   11.772   10.909   10.261    9.827    9.607
-    9.599    9.803   10.219   10.845
-   11.996   10.909   10.037    9.379    8.934    8.701
-    8.681    8.872    9.274    9.887
-   11.358   10.261    9.379    8.709    8.252    8.007
-    7.974    8.152    8.540    9.138
-   10.935    9.827    8.934    8.252    7.783    7.525
-    7.478    7.642    8.016    8.600
-   10.725    9.607    8.701    8.007    7.525    7.254
-    7.193    7.342    7.703    8.273
-   10.730    9.599    8.681    7.974    7.478    7.193
-    7.118    7.254    7.600    8.157
-   10.946    9.803    8.872    8.152    7.642    7.342
-    7.254    7.375    7.708    8.252
-   11.375   10.219    9.274    8.540    8.016    7.703
-    7.600    7.708    8.028    8.559
-   12.015   10.845    9.887    9.138    8.600    8.273
-    8.157    8.252    8.559    9.079
-   14.197   13.119   12.256   11.608   11.174   10.954
-   10.946   11.150   11.566   12.192
-   13.119   12.032   11.159   10.501   10.056    9.824
-    9.803    9.994   10.396   11.009
-   12.256   11.159   10.276    9.607    9.150    8.905
-    8.872    9.049    9.438   10.036
-   11.608   10.501    9.607    8.926    8.456    8.198
-    8.152    8.315    8.689    9.274
-   11.174   10.056    9.150    8.456    7.974    7.703
-    7.642    7.791    8.152    8.722
-   10.954    9.824    8.905    8.198    7.703    7.417
-    7.342    7.478    7.824    8.382
-   10.946    9.803    8.872    8.152    7.642    7.342
-    7.254    7.375    7.708    8.252
-   11.150    9.994    9.049    8.315    7.791    7.478
-    7.375    7.484    7.803    8.335
-   11.566   10.396    9.438    8.689    8.152    7.824
-    7.708    7.803    8.110    8.630
-   12.192   11.009   10.036    9.274    8.722    8.382
-    8.252    8.335    8.630    9.139
-   14.690   13.603   12.731   12.072   11.627   11.395
-   11.375   11.566   11.968   12.580
-   13.603   12.506   11.623   10.954   10.497   10.252
-   10.219   10.396   10.785   11.383
-   12.731   11.623   10.730   10.048    9.579    9.321
-    9.274    9.438    9.812   10.396
-   12.072   10.954   10.048    9.354    8.872    8.600
-    8.540    8.689    9.049    9.620
-   11.627   10.497    9.579    8.872    8.376    8.091
-    8.016    8.152    8.498    9.055
-   11.395   10.252    9.321    8.600    8.091    7.791
-    7.703    7.824    8.157    8.701
-   11.375   10.219    9.274    8.540    8.016    7.703
-    7.600    7.708    8.028    8.559
-   11.566   10.396    9.438    8.689    8.152    7.824
-    7.708    7.803    8.110    8.630
-   11.968   10.785    9.812    9.049    8.498    8.157
-    8.028    8.110    8.406    8.914
-   12.580   11.383   10.396    9.620    9.055    8.701
-    8.559    8.630    8.914    9.413
-   15.399   14.302   13.419   12.750   12.293   12.048
-   12.015   12.192   12.580   13.179
-   14.302   13.195   12.301   11.620   11.150   10.892
-   10.845   11.009   11.383   11.968
-   13.419   12.301   11.395   10.701   10.219    9.947
-    9.887   10.036   10.396   10.967
-   12.750   11.620   10.701    9.994    9.498    9.213
-    9.138    9.274    9.620   10.178
-   12.293   11.150   10.219    9.498    8.989    8.689
-    8.600    8.722    9.055    9.599
-   12.048   10.892    9.947    9.213    8.689    8.376
-    8.273    8.382    8.701    9.233
-   12.015   10.845    9.887    9.138    8.600    8.273
-    8.157    8.252    8.559    9.079
-   12.192   11.009   10.036    9.274    8.722    8.382
-    8.252    8.335    8.630    9.139
-   12.580   11.383   10.396    9.620    9.055    8.701
-    8.559    8.630    8.914    9.413
-   13.179   11.968   10.967   10.178    9.599    9.233
-    9.079    9.139    9.413    9.901
+1   -1.650   -1.650   -1.650 
+10    0.300    0.000    0.000 
+10    0.000    0.300    0.000 
+10    0.000    0.000    0.300 
+1    0.000    0.000    0.000 
+  16.849   15.812   14.995   14.398   14.021   13.862 
+  13.921   14.197   14.690   15.399 
+  15.812   14.771   13.949   13.347   12.964   12.798 
+  12.850   13.119   13.603   14.302 
+  14.995   13.949   13.123   12.515   12.125   11.952 
+  11.996   12.256   12.731   13.419 
+  14.398   13.347   12.515   11.900   11.503   11.323 
+  11.358   11.608   12.072   12.750 
+  14.021   12.964   12.125   11.503   11.098   10.909 
+  10.935   11.174   11.627   12.293 
+  13.862   12.798   11.952   11.323   10.909   10.710 
+  10.725   10.954   11.395   12.048 
+  13.921   12.850   11.996   11.358   10.935   10.725 
+  10.730   10.946   11.375   12.015 
+  14.197   13.119   12.256   11.608   11.174   10.954 
+  10.946   11.150   11.566   12.192 
+  14.690   13.603   12.731   12.072   11.627   11.395 
+  11.375   11.566   11.968   12.580 
+  15.399   14.302   13.419   12.750   12.293   12.048 
+  12.015   12.192   12.580   13.179 
+  15.812   14.771   13.949   13.347   12.964   12.798 
+  12.850   13.119   13.603   14.302 
+  14.771   13.725   12.898   12.290   11.900   11.728 
+  11.772   12.032   12.506   13.195 
+  13.949   12.898   12.066   11.452   11.054   10.874 
+  10.909   11.159   11.623   12.301 
+  13.347   12.290   11.452   10.830   10.425   10.236 
+  10.261   10.501   10.954   11.620 
+  12.964   11.900   11.054   10.425   10.011    9.812 
+   9.827   10.056   10.497   11.150 
+  12.798   11.728   10.874   10.236    9.812    9.603 
+   9.607    9.824   10.252   10.892 
+  12.850   11.772   10.909   10.261    9.827    9.607 
+   9.599    9.803   10.219   10.845 
+  13.119   12.032   11.159   10.501   10.056    9.824 
+   9.803    9.994   10.396   11.009 
+  13.603   12.506   11.623   10.954   10.497   10.252 
+  10.219   10.396   10.785   11.383 
+  14.302   13.195   12.301   11.620   11.150   10.892 
+  10.845   11.009   11.383   11.968 
+  14.995   13.949   13.123   12.515   12.125   11.952 
+  11.996   12.256   12.731   13.419 
+  13.949   12.898   12.066   11.452   11.054   10.874 
+  10.909   11.159   11.623   12.301 
+  13.123   12.066   11.227   10.605   10.200   10.011 
+  10.037   10.276   10.730   11.395 
+  12.515   11.452   10.605    9.976    9.562    9.363 
+   9.379    9.607   10.048   10.701 
+  12.125   11.054   10.200    9.562    9.139    8.930 
+   8.934    9.150    9.579   10.219 
+  11.952   10.874   10.011    9.363    8.930    8.709 
+   8.701    8.905    9.321    9.947 
+  11.996   10.909   10.037    9.379    8.934    8.701 
+   8.681    8.872    9.274    9.887 
+  12.256   11.159   10.276    9.607    9.150    8.905 
+   8.872    9.049    9.438   10.036 
+  12.731   11.623   10.730   10.048    9.579    9.321 
+   9.274    9.438    9.812   10.396 
+  13.419   12.301   11.395   10.701   10.219    9.947 
+   9.887   10.036   10.396   10.967 
+  14.398   13.347   12.515   11.900   11.503   11.323 
+  11.358   11.608   12.072   12.750 
+  13.347   12.290   11.452   10.830   10.425   10.236 
+  10.261   10.501   10.954   11.620 
+  12.515   11.452   10.605    9.976    9.562    9.363 
+   9.379    9.607   10.048   10.701 
+  11.900   10.830    9.976    9.338    8.914    8.705 
+   8.709    8.926    9.354    9.994 
+  11.503   10.425    9.562    8.914    8.481    8.260 
+   8.252    8.456    8.872    9.498 
+  11.323   10.236    9.363    8.705    8.260    8.028 
+   8.007    8.198    8.600    9.213 
+  11.358   10.261    9.379    8.709    8.252    8.007 
+   7.974    8.152    8.540    9.138 
+  11.608   10.501    9.607    8.926    8.456    8.198 
+   8.152    8.315    8.689    9.274 
+  12.072   10.954   10.048    9.354    8.872    8.600 
+   8.540    8.689    9.049    9.620 
+  12.750   11.620   10.701    9.994    9.498    9.213 
+   9.138    9.274    9.620   10.178 
+  14.021   12.964   12.125   11.503   11.098   10.909 
+  10.935   11.174   11.627   12.293 
+  12.964   11.900   11.054   10.425   10.011    9.812 
+   9.827   10.056   10.497   11.150 
+  12.125   11.054   10.200    9.562    9.139    8.930 
+   8.934    9.150    9.579   10.219 
+  11.503   10.425    9.562    8.914    8.481    8.260 
+   8.252    8.456    8.872    9.498 
+  11.098   10.011    9.139    8.481    8.036    7.803 
+   7.783    7.974    8.376    8.989 
+  10.909    9.812    8.930    8.260    7.803    7.558 
+   7.525    7.703    8.091    8.689 
+  10.935    9.827    8.934    8.252    7.783    7.525 
+   7.478    7.642    8.016    8.600 
+  11.174   10.056    9.150    8.456    7.974    7.703 
+   7.642    7.791    8.152    8.722 
+  11.627   10.497    9.579    8.872    8.376    8.091 
+   8.016    8.152    8.498    9.055 
+  12.293   11.150   10.219    9.498    8.989    8.689 
+   8.600    8.722    9.055    9.599 
+  13.862   12.798   11.952   11.323   10.909   10.710 
+  10.725   10.954   11.395   12.048 
+  12.798   11.728   10.874   10.236    9.812    9.603 
+   9.607    9.824   10.252   10.892 
+  11.952   10.874   10.011    9.363    8.930    8.709 
+   8.701    8.905    9.321    9.947 
+  11.323   10.236    9.363    8.705    8.260    8.028 
+   8.007    8.198    8.600    9.213 
+  10.909    9.812    8.930    8.260    7.803    7.558 
+   7.525    7.703    8.091    8.689 
+  10.710    9.603    8.709    8.028    7.558    7.301 
+   7.254    7.417    7.791    8.376 
+  10.725    9.607    8.701    8.007    7.525    7.254 
+   7.193    7.342    7.703    8.273 
+  10.954    9.824    8.905    8.198    7.703    7.417 
+   7.342    7.478    7.824    8.382 
+  11.395   10.252    9.321    8.600    8.091    7.791 
+   7.703    7.824    8.157    8.701 
+  12.048   10.892    9.947    9.213    8.689    8.376 
+   8.273    8.382    8.701    9.233 
+  13.921   12.850   11.996   11.358   10.935   10.725 
+  10.730   10.946   11.375   12.015 
+  12.850   11.772   10.909   10.261    9.827    9.607 
+   9.599    9.803   10.219   10.845 
+  11.996   10.909   10.037    9.379    8.934    8.701 
+   8.681    8.872    9.274    9.887 
+  11.358   10.261    9.379    8.709    8.252    8.007 
+   7.974    8.152    8.540    9.138 
+  10.935    9.827    8.934    8.252    7.783    7.525 
+   7.478    7.642    8.016    8.600 
+  10.725    9.607    8.701    8.007    7.525    7.254 
+   7.193    7.342    7.703    8.273 
+  10.730    9.599    8.681    7.974    7.478    7.193 
+   7.118    7.254    7.600    8.157 
+  10.946    9.803    8.872    8.152    7.642    7.342 
+   7.254    7.375    7.708    8.252 
+  11.375   10.219    9.274    8.540    8.016    7.703 
+   7.600    7.708    8.028    8.559 
+  12.015   10.845    9.887    9.138    8.600    8.273 
+   8.157    8.252    8.559    9.079 
+  14.197   13.119   12.256   11.608   11.174   10.954 
+  10.946   11.150   11.566   12.192 
+  13.119   12.032   11.159   10.501   10.056    9.824 
+   9.803    9.994   10.396   11.009 
+  12.256   11.159   10.276    9.607    9.150    8.905 
+   8.872    9.049    9.438   10.036 
+  11.608   10.501    9.607    8.926    8.456    8.198 
+   8.152    8.315    8.689    9.274 
+  11.174   10.056    9.150    8.456    7.974    7.703 
+   7.642    7.791    8.152    8.722 
+  10.954    9.824    8.905    8.198    7.703    7.417 
+   7.342    7.478    7.824    8.382 
+  10.946    9.803    8.872    8.152    7.642    7.342 
+   7.254    7.375    7.708    8.252 
+  11.150    9.994    9.049    8.315    7.791    7.478 
+   7.375    7.484    7.803    8.335 
+  11.566   10.396    9.438    8.689    8.152    7.824 
+   7.708    7.803    8.110    8.630 
+  12.192   11.009   10.036    9.274    8.722    8.382 
+   8.252    8.335    8.630    9.139 
+  14.690   13.603   12.731   12.072   11.627   11.395 
+  11.375   11.566   11.968   12.580 
+  13.603   12.506   11.623   10.954   10.497   10.252 
+  10.219   10.396   10.785   11.383 
+  12.731   11.623   10.730   10.048    9.579    9.321 
+   9.274    9.438    9.812   10.396 
+  12.072   10.954   10.048    9.354    8.872    8.600 
+   8.540    8.689    9.049    9.620 
+  11.627   10.497    9.579    8.872    8.376    8.091 
+   8.016    8.152    8.498    9.055 
+  11.395   10.252    9.321    8.600    8.091    7.791 
+   7.703    7.824    8.157    8.701 
+  11.375   10.219    9.274    8.540    8.016    7.703 
+   7.600    7.708    8.028    8.559 
+  11.566   10.396    9.438    8.689    8.152    7.824 
+   7.708    7.803    8.110    8.630 
+  11.968   10.785    9.812    9.049    8.498    8.157 
+   8.028    8.110    8.406    8.914 
+  12.580   11.383   10.396    9.620    9.055    8.701 
+   8.559    8.630    8.914    9.413 
+  15.399   14.302   13.419   12.750   12.293   12.048 
+  12.015   12.192   12.580   13.179 
+  14.302   13.195   12.301   11.620   11.150   10.892 
+  10.845   11.009   11.383   11.968 
+  13.419   12.301   11.395   10.701   10.219    9.947 
+   9.887   10.036   10.396   10.967 
+  12.750   11.620   10.701    9.994    9.498    9.213 
+   9.138    9.274    9.620   10.178 
+  12.293   11.150   10.219    9.498    8.989    8.689 
+   8.600    8.722    9.055    9.599 
+  12.048   10.892    9.947    9.213    8.689    8.376 
+   8.273    8.382    8.701    9.233 
+  12.015   10.845    9.887    9.138    8.600    8.273 
+   8.157    8.252    8.559    9.079 
+  12.192   11.009   10.036    9.274    8.722    8.382 
+   8.252    8.335    8.630    9.139 
+  12.580   11.383   10.396    9.620    9.055    8.701 
+   8.559    8.630    8.914    9.413 
+  13.179   11.968   10.967   10.178    9.599    9.233 
+   9.079    9.139    9.413    9.901 
diff --git a/regtest/analysis/rt-cube/histoA1.cube.reference b/regtest/analysis/rt-cube/histoA1.cube.reference
index 10c48d5b154ffecc6e9a966ae1b05d4272395448..4bc15e8aa08d97f173fed8575369a92d7694c456 100644
--- a/regtest/analysis/rt-cube/histoA1.cube.reference
+++ b/regtest/analysis/rt-cube/histoA1.cube.reference
@@ -1,207 +1,207 @@
 PLUMED CUBE FILE
 OUTER LOOP: X, MIDDLE LOOP: Y, INNER LOOP: Z
-1  -1.6500  -1.6500  -1.6500
-10   0.3000   0.0000   0.0000
-10   0.0000   0.3000   0.0000
-10   0.0000   0.0000   0.3000
-1   0.0000   0.0000   0.0000
-   0.0012   0.0018   0.0025   0.0031   0.0036   0.0039
-   0.0038   0.0034   0.0028   0.0021
-   0.0018   0.0027   0.0037   0.0047   0.0055   0.0059
-   0.0058   0.0052   0.0043   0.0032
-   0.0025   0.0037   0.0052   0.0066   0.0077   0.0083
-   0.0082   0.0073   0.0061   0.0046
-   0.0031   0.0047   0.0066   0.0085   0.0099   0.0107
-   0.0105   0.0095   0.0079   0.0060
-   0.0036   0.0055   0.0077   0.0099   0.0117   0.0126
-   0.0125   0.0113   0.0095   0.0072
-   0.0039   0.0059   0.0083   0.0107   0.0126   0.0137
-   0.0136   0.0124   0.0104   0.0080
-   0.0038   0.0058   0.0082   0.0105   0.0125   0.0136
-   0.0135   0.0124   0.0105   0.0081
-   0.0034   0.0052   0.0073   0.0095   0.0113   0.0124
-   0.0124   0.0114   0.0097   0.0075
-   0.0028   0.0043   0.0061   0.0079   0.0095   0.0104
-   0.0105   0.0097   0.0082   0.0065
-   0.0021   0.0032   0.0046   0.0060   0.0072   0.0080
-   0.0081   0.0075   0.0065   0.0051
-   0.0018   0.0027   0.0037   0.0047   0.0055   0.0059
-   0.0058   0.0052   0.0043   0.0032
-   0.0027   0.0041   0.0057   0.0072   0.0085   0.0091
-   0.0089   0.0080   0.0066   0.0050
-   0.0037   0.0057   0.0079   0.0101   0.0119   0.0128
-   0.0126   0.0114   0.0095   0.0072
-   0.0047   0.0072   0.0101   0.0130   0.0153   0.0165
-   0.0163   0.0148   0.0124   0.0095
-   0.0055   0.0085   0.0119   0.0153   0.0181   0.0196
-   0.0195   0.0177   0.0149   0.0114
-   0.0059   0.0091   0.0128   0.0165   0.0196   0.0213
-   0.0212   0.0195   0.0164   0.0127
-   0.0058   0.0089   0.0126   0.0163   0.0195   0.0212
-   0.0213   0.0196   0.0166   0.0129
-   0.0052   0.0080   0.0114   0.0148   0.0177   0.0195
-   0.0196   0.0182   0.0155   0.0121
-   0.0043   0.0066   0.0095   0.0124   0.0149   0.0164
-   0.0166   0.0155   0.0133   0.0104
-   0.0032   0.0050   0.0072   0.0095   0.0114   0.0127
-   0.0129   0.0121   0.0104   0.0082
-   0.0025   0.0037   0.0052   0.0066   0.0077   0.0083
-   0.0082   0.0073   0.0061   0.0046
-   0.0037   0.0057   0.0079   0.0101   0.0119   0.0128
-   0.0126   0.0114   0.0095   0.0072
-   0.0052   0.0079   0.0111   0.0142   0.0167   0.0181
-   0.0179   0.0162   0.0135   0.0104
-   0.0066   0.0101   0.0142   0.0183   0.0216   0.0234
-   0.0233   0.0212   0.0178   0.0137
-   0.0077   0.0119   0.0167   0.0216   0.0256   0.0279
-   0.0278   0.0255   0.0215   0.0166
-   0.0083   0.0128   0.0181   0.0234   0.0279   0.0305
-   0.0305   0.0281   0.0238   0.0185
-   0.0082   0.0126   0.0179   0.0233   0.0278   0.0305
-   0.0308   0.0285   0.0243   0.0190
-   0.0073   0.0114   0.0162   0.0212   0.0255   0.0281
-   0.0285   0.0266   0.0227   0.0179
-   0.0061   0.0095   0.0135   0.0178   0.0215   0.0238
-   0.0243   0.0227   0.0196   0.0155
-   0.0046   0.0072   0.0104   0.0137   0.0166   0.0185
-   0.0190   0.0179   0.0155   0.0123
-   0.0031   0.0047   0.0066   0.0085   0.0099   0.0107
-   0.0105   0.0095   0.0079   0.0060
-   0.0047   0.0072   0.0101   0.0130   0.0153   0.0165
-   0.0163   0.0148   0.0124   0.0095
-   0.0066   0.0101   0.0142   0.0183   0.0216   0.0234
-   0.0233   0.0212   0.0178   0.0137
-   0.0085   0.0130   0.0183   0.0237   0.0280   0.0305
-   0.0305   0.0279   0.0235   0.0182
-   0.0099   0.0153   0.0216   0.0280   0.0334   0.0365
-   0.0366   0.0337   0.0285   0.0222
-   0.0107   0.0165   0.0234   0.0305   0.0365   0.0400
-   0.0403   0.0374   0.0318   0.0249
-   0.0105   0.0163   0.0233   0.0305   0.0366   0.0403
-   0.0409   0.0381   0.0326   0.0256
-   0.0095   0.0148   0.0212   0.0279   0.0337   0.0374
-   0.0381   0.0357   0.0307   0.0243
-   0.0079   0.0124   0.0178   0.0235   0.0285   0.0318
-   0.0326   0.0307   0.0266   0.0211
-   0.0060   0.0095   0.0137   0.0182   0.0222   0.0249
-   0.0256   0.0243   0.0211   0.0169
-   0.0036   0.0055   0.0077   0.0099   0.0117   0.0126
-   0.0125   0.0113   0.0095   0.0072
-   0.0055   0.0085   0.0119   0.0153   0.0181   0.0196
-   0.0195   0.0177   0.0149   0.0114
-   0.0077   0.0119   0.0167   0.0216   0.0256   0.0279
-   0.0278   0.0255   0.0215   0.0166
-   0.0099   0.0153   0.0216   0.0280   0.0334   0.0365
-   0.0366   0.0337   0.0285   0.0222
-   0.0117   0.0181   0.0256   0.0334   0.0399   0.0438
-   0.0441   0.0409   0.0348   0.0272
-   0.0126   0.0196   0.0279   0.0365   0.0438   0.0483
-   0.0490   0.0456   0.0390   0.0307
-   0.0125   0.0195   0.0278   0.0366   0.0441   0.0490
-   0.0499   0.0467   0.0402   0.0318
-   0.0113   0.0177   0.0255   0.0337   0.0409   0.0456
-   0.0467   0.0440   0.0381   0.0303
-   0.0095   0.0149   0.0215   0.0285   0.0348   0.0390
-   0.0402   0.0381   0.0331   0.0265
-   0.0072   0.0114   0.0166   0.0222   0.0272   0.0307
-   0.0318   0.0303   0.0265   0.0213
-   0.0039   0.0059   0.0083   0.0107   0.0126   0.0137
-   0.0136   0.0124   0.0104   0.0080
-   0.0059   0.0091   0.0128   0.0165   0.0196   0.0213
-   0.0212   0.0195   0.0164   0.0127
-   0.0083   0.0128   0.0181   0.0234   0.0279   0.0305
-   0.0305   0.0281   0.0238   0.0185
-   0.0107   0.0165   0.0234   0.0305   0.0365   0.0400
-   0.0403   0.0374   0.0318   0.0249
-   0.0126   0.0196   0.0279   0.0365   0.0438   0.0483
-   0.0490   0.0456   0.0390   0.0307
-   0.0137   0.0213   0.0305   0.0400   0.0483   0.0536
-   0.0546   0.0511   0.0440   0.0348
-   0.0136   0.0212   0.0305   0.0403   0.0490   0.0546
-   0.0559   0.0527   0.0456   0.0363
-   0.0124   0.0195   0.0281   0.0374   0.0456   0.0511
-   0.0527   0.0499   0.0434   0.0347
-   0.0104   0.0164   0.0238   0.0318   0.0390   0.0440
-   0.0456   0.0434   0.0380   0.0305
-   0.0080   0.0127   0.0185   0.0249   0.0307   0.0348
-   0.0363   0.0347   0.0305   0.0247
-   0.0038   0.0058   0.0082   0.0105   0.0125   0.0136
-   0.0135   0.0124   0.0105   0.0081
-   0.0058   0.0089   0.0126   0.0163   0.0195   0.0212
-   0.0213   0.0196   0.0166   0.0129
-   0.0082   0.0126   0.0179   0.0233   0.0278   0.0305
-   0.0308   0.0285   0.0243   0.0190
-   0.0105   0.0163   0.0233   0.0305   0.0366   0.0403
-   0.0409   0.0381   0.0326   0.0256
-   0.0125   0.0195   0.0278   0.0366   0.0441   0.0490
-   0.0499   0.0467   0.0402   0.0318
-   0.0136   0.0212   0.0305   0.0403   0.0490   0.0546
-   0.0559   0.0527   0.0456   0.0363
-   0.0135   0.0213   0.0308   0.0409   0.0499   0.0559
-   0.0576   0.0546   0.0475   0.0380
-   0.0124   0.0196   0.0285   0.0381   0.0467   0.0527
-   0.0546   0.0520   0.0455   0.0366
-   0.0105   0.0166   0.0243   0.0326   0.0402   0.0456
-   0.0475   0.0455   0.0400   0.0323
-   0.0081   0.0129   0.0190   0.0256   0.0318   0.0363
-   0.0380   0.0366   0.0323   0.0263
-   0.0034   0.0052   0.0073   0.0095   0.0113   0.0124
-   0.0124   0.0114   0.0097   0.0075
-   0.0052   0.0080   0.0114   0.0148   0.0177   0.0195
-   0.0196   0.0182   0.0155   0.0121
-   0.0073   0.0114   0.0162   0.0212   0.0255   0.0281
-   0.0285   0.0266   0.0227   0.0179
-   0.0095   0.0148   0.0212   0.0279   0.0337   0.0374
-   0.0381   0.0357   0.0307   0.0243
-   0.0113   0.0177   0.0255   0.0337   0.0409   0.0456
-   0.0467   0.0440   0.0381   0.0303
-   0.0124   0.0195   0.0281   0.0374   0.0456   0.0511
-   0.0527   0.0499   0.0434   0.0347
-   0.0124   0.0196   0.0285   0.0381   0.0467   0.0527
-   0.0546   0.0520   0.0455   0.0366
-   0.0114   0.0182   0.0266   0.0357   0.0440   0.0499
-   0.0520   0.0498   0.0438   0.0354
-   0.0097   0.0155   0.0227   0.0307   0.0381   0.0434
-   0.0455   0.0438   0.0387   0.0314
-   0.0075   0.0121   0.0179   0.0243   0.0303   0.0347
-   0.0366   0.0354   0.0314   0.0256
-   0.0028   0.0043   0.0061   0.0079   0.0095   0.0104
-   0.0105   0.0097   0.0082   0.0065
-   0.0043   0.0066   0.0095   0.0124   0.0149   0.0164
-   0.0166   0.0155   0.0133   0.0104
-   0.0061   0.0095   0.0135   0.0178   0.0215   0.0238
-   0.0243   0.0227   0.0196   0.0155
-   0.0079   0.0124   0.0178   0.0235   0.0285   0.0318
-   0.0326   0.0307   0.0266   0.0211
-   0.0095   0.0149   0.0215   0.0285   0.0348   0.0390
-   0.0402   0.0381   0.0331   0.0265
-   0.0104   0.0164   0.0238   0.0318   0.0390   0.0440
-   0.0456   0.0434   0.0380   0.0305
-   0.0105   0.0166   0.0243   0.0326   0.0402   0.0456
-   0.0475   0.0455   0.0400   0.0323
-   0.0097   0.0155   0.0227   0.0307   0.0381   0.0434
-   0.0455   0.0438   0.0387   0.0314
-   0.0082   0.0133   0.0196   0.0266   0.0331   0.0380
-   0.0400   0.0387   0.0344   0.0280
-   0.0065   0.0104   0.0155   0.0211   0.0265   0.0305
-   0.0323   0.0314   0.0280   0.0230
-   0.0021   0.0032   0.0046   0.0060   0.0072   0.0080
-   0.0081   0.0075   0.0065   0.0051
-   0.0032   0.0050   0.0072   0.0095   0.0114   0.0127
-   0.0129   0.0121   0.0104   0.0082
-   0.0046   0.0072   0.0104   0.0137   0.0166   0.0185
-   0.0190   0.0179   0.0155   0.0123
-   0.0060   0.0095   0.0137   0.0182   0.0222   0.0249
-   0.0256   0.0243   0.0211   0.0169
-   0.0072   0.0114   0.0166   0.0222   0.0272   0.0307
-   0.0318   0.0303   0.0265   0.0213
-   0.0080   0.0127   0.0185   0.0249   0.0307   0.0348
-   0.0363   0.0347   0.0305   0.0247
-   0.0081   0.0129   0.0190   0.0256   0.0318   0.0363
-   0.0380   0.0366   0.0323   0.0263
-   0.0075   0.0121   0.0179   0.0243   0.0303   0.0347
-   0.0366   0.0354   0.0314   0.0256
-   0.0065   0.0104   0.0155   0.0211   0.0265   0.0305
-   0.0323   0.0314   0.0280   0.0230
-   0.0051   0.0082   0.0123   0.0169   0.0213   0.0247
-   0.0263   0.0256   0.0230   0.0189
+1  -1.6500  -1.6500  -1.6500 
+10   0.3000   0.0000   0.0000 
+10   0.0000   0.3000   0.0000 
+10   0.0000   0.0000   0.3000 
+1   0.0000   0.0000   0.0000 
+  0.0012   0.0018   0.0025   0.0031   0.0036   0.0039 
+  0.0038   0.0034   0.0028   0.0021 
+  0.0018   0.0027   0.0037   0.0047   0.0055   0.0059 
+  0.0058   0.0052   0.0043   0.0032 
+  0.0025   0.0037   0.0052   0.0066   0.0077   0.0083 
+  0.0082   0.0073   0.0061   0.0046 
+  0.0031   0.0047   0.0066   0.0085   0.0099   0.0107 
+  0.0105   0.0095   0.0079   0.0060 
+  0.0036   0.0055   0.0077   0.0099   0.0117   0.0126 
+  0.0125   0.0113   0.0095   0.0072 
+  0.0039   0.0059   0.0083   0.0107   0.0126   0.0137 
+  0.0136   0.0124   0.0104   0.0080 
+  0.0038   0.0058   0.0082   0.0105   0.0125   0.0136 
+  0.0135   0.0124   0.0105   0.0081 
+  0.0034   0.0052   0.0073   0.0095   0.0113   0.0124 
+  0.0124   0.0114   0.0097   0.0075 
+  0.0028   0.0043   0.0061   0.0079   0.0095   0.0104 
+  0.0105   0.0097   0.0082   0.0065 
+  0.0021   0.0032   0.0046   0.0060   0.0072   0.0080 
+  0.0081   0.0075   0.0065   0.0051 
+  0.0018   0.0027   0.0037   0.0047   0.0055   0.0059 
+  0.0058   0.0052   0.0043   0.0032 
+  0.0027   0.0041   0.0057   0.0072   0.0085   0.0091 
+  0.0089   0.0080   0.0066   0.0050 
+  0.0037   0.0057   0.0079   0.0101   0.0119   0.0128 
+  0.0126   0.0114   0.0095   0.0072 
+  0.0047   0.0072   0.0101   0.0130   0.0153   0.0165 
+  0.0163   0.0148   0.0124   0.0095 
+  0.0055   0.0085   0.0119   0.0153   0.0181   0.0196 
+  0.0195   0.0177   0.0149   0.0114 
+  0.0059   0.0091   0.0128   0.0165   0.0196   0.0213 
+  0.0212   0.0195   0.0164   0.0127 
+  0.0058   0.0089   0.0126   0.0163   0.0195   0.0212 
+  0.0213   0.0196   0.0166   0.0129 
+  0.0052   0.0080   0.0114   0.0148   0.0177   0.0195 
+  0.0196   0.0182   0.0155   0.0121 
+  0.0043   0.0066   0.0095   0.0124   0.0149   0.0164 
+  0.0166   0.0155   0.0133   0.0104 
+  0.0032   0.0050   0.0072   0.0095   0.0114   0.0127 
+  0.0129   0.0121   0.0104   0.0082 
+  0.0025   0.0037   0.0052   0.0066   0.0077   0.0083 
+  0.0082   0.0073   0.0061   0.0046 
+  0.0037   0.0057   0.0079   0.0101   0.0119   0.0128 
+  0.0126   0.0114   0.0095   0.0072 
+  0.0052   0.0079   0.0111   0.0142   0.0167   0.0181 
+  0.0179   0.0162   0.0135   0.0104 
+  0.0066   0.0101   0.0142   0.0183   0.0216   0.0234 
+  0.0233   0.0212   0.0178   0.0137 
+  0.0077   0.0119   0.0167   0.0216   0.0256   0.0279 
+  0.0278   0.0255   0.0215   0.0166 
+  0.0083   0.0128   0.0181   0.0234   0.0279   0.0305 
+  0.0305   0.0281   0.0238   0.0185 
+  0.0082   0.0126   0.0179   0.0233   0.0278   0.0305 
+  0.0308   0.0285   0.0243   0.0190 
+  0.0073   0.0114   0.0162   0.0212   0.0255   0.0281 
+  0.0285   0.0266   0.0227   0.0179 
+  0.0061   0.0095   0.0135   0.0178   0.0215   0.0238 
+  0.0243   0.0227   0.0196   0.0155 
+  0.0046   0.0072   0.0104   0.0137   0.0166   0.0185 
+  0.0190   0.0179   0.0155   0.0123 
+  0.0031   0.0047   0.0066   0.0085   0.0099   0.0107 
+  0.0105   0.0095   0.0079   0.0060 
+  0.0047   0.0072   0.0101   0.0130   0.0153   0.0165 
+  0.0163   0.0148   0.0124   0.0095 
+  0.0066   0.0101   0.0142   0.0183   0.0216   0.0234 
+  0.0233   0.0212   0.0178   0.0137 
+  0.0085   0.0130   0.0183   0.0237   0.0280   0.0305 
+  0.0305   0.0279   0.0235   0.0182 
+  0.0099   0.0153   0.0216   0.0280   0.0334   0.0365 
+  0.0366   0.0337   0.0285   0.0222 
+  0.0107   0.0165   0.0234   0.0305   0.0365   0.0400 
+  0.0403   0.0374   0.0318   0.0249 
+  0.0105   0.0163   0.0233   0.0305   0.0366   0.0403 
+  0.0409   0.0381   0.0326   0.0256 
+  0.0095   0.0148   0.0212   0.0279   0.0337   0.0374 
+  0.0381   0.0357   0.0307   0.0243 
+  0.0079   0.0124   0.0178   0.0235   0.0285   0.0318 
+  0.0326   0.0307   0.0266   0.0211 
+  0.0060   0.0095   0.0137   0.0182   0.0222   0.0249 
+  0.0256   0.0243   0.0211   0.0169 
+  0.0036   0.0055   0.0077   0.0099   0.0117   0.0126 
+  0.0125   0.0113   0.0095   0.0072 
+  0.0055   0.0085   0.0119   0.0153   0.0181   0.0196 
+  0.0195   0.0177   0.0149   0.0114 
+  0.0077   0.0119   0.0167   0.0216   0.0256   0.0279 
+  0.0278   0.0255   0.0215   0.0166 
+  0.0099   0.0153   0.0216   0.0280   0.0334   0.0365 
+  0.0366   0.0337   0.0285   0.0222 
+  0.0117   0.0181   0.0256   0.0334   0.0399   0.0438 
+  0.0441   0.0409   0.0348   0.0272 
+  0.0126   0.0196   0.0279   0.0365   0.0438   0.0483 
+  0.0490   0.0456   0.0390   0.0307 
+  0.0125   0.0195   0.0278   0.0366   0.0441   0.0490 
+  0.0499   0.0467   0.0402   0.0318 
+  0.0113   0.0177   0.0255   0.0337   0.0409   0.0456 
+  0.0467   0.0440   0.0381   0.0303 
+  0.0095   0.0149   0.0215   0.0285   0.0348   0.0390 
+  0.0402   0.0381   0.0331   0.0265 
+  0.0072   0.0114   0.0166   0.0222   0.0272   0.0307 
+  0.0318   0.0303   0.0265   0.0213 
+  0.0039   0.0059   0.0083   0.0107   0.0126   0.0137 
+  0.0136   0.0124   0.0104   0.0080 
+  0.0059   0.0091   0.0128   0.0165   0.0196   0.0213 
+  0.0212   0.0195   0.0164   0.0127 
+  0.0083   0.0128   0.0181   0.0234   0.0279   0.0305 
+  0.0305   0.0281   0.0238   0.0185 
+  0.0107   0.0165   0.0234   0.0305   0.0365   0.0400 
+  0.0403   0.0374   0.0318   0.0249 
+  0.0126   0.0196   0.0279   0.0365   0.0438   0.0483 
+  0.0490   0.0456   0.0390   0.0307 
+  0.0137   0.0213   0.0305   0.0400   0.0483   0.0536 
+  0.0546   0.0511   0.0440   0.0348 
+  0.0136   0.0212   0.0305   0.0403   0.0490   0.0546 
+  0.0559   0.0527   0.0456   0.0363 
+  0.0124   0.0195   0.0281   0.0374   0.0456   0.0511 
+  0.0527   0.0499   0.0434   0.0347 
+  0.0104   0.0164   0.0238   0.0318   0.0390   0.0440 
+  0.0456   0.0434   0.0380   0.0305 
+  0.0080   0.0127   0.0185   0.0249   0.0307   0.0348 
+  0.0363   0.0347   0.0305   0.0247 
+  0.0038   0.0058   0.0082   0.0105   0.0125   0.0136 
+  0.0135   0.0124   0.0105   0.0081 
+  0.0058   0.0089   0.0126   0.0163   0.0195   0.0212 
+  0.0213   0.0196   0.0166   0.0129 
+  0.0082   0.0126   0.0179   0.0233   0.0278   0.0305 
+  0.0308   0.0285   0.0243   0.0190 
+  0.0105   0.0163   0.0233   0.0305   0.0366   0.0403 
+  0.0409   0.0381   0.0326   0.0256 
+  0.0125   0.0195   0.0278   0.0366   0.0441   0.0490 
+  0.0499   0.0467   0.0402   0.0318 
+  0.0136   0.0212   0.0305   0.0403   0.0490   0.0546 
+  0.0559   0.0527   0.0456   0.0363 
+  0.0135   0.0213   0.0308   0.0409   0.0499   0.0559 
+  0.0576   0.0546   0.0475   0.0380 
+  0.0124   0.0196   0.0285   0.0381   0.0467   0.0527 
+  0.0546   0.0520   0.0455   0.0366 
+  0.0105   0.0166   0.0243   0.0326   0.0402   0.0456 
+  0.0475   0.0455   0.0400   0.0323 
+  0.0081   0.0129   0.0190   0.0256   0.0318   0.0363 
+  0.0380   0.0366   0.0323   0.0263 
+  0.0034   0.0052   0.0073   0.0095   0.0113   0.0124 
+  0.0124   0.0114   0.0097   0.0075 
+  0.0052   0.0080   0.0114   0.0148   0.0177   0.0195 
+  0.0196   0.0182   0.0155   0.0121 
+  0.0073   0.0114   0.0162   0.0212   0.0255   0.0281 
+  0.0285   0.0266   0.0227   0.0179 
+  0.0095   0.0148   0.0212   0.0279   0.0337   0.0374 
+  0.0381   0.0357   0.0307   0.0243 
+  0.0113   0.0177   0.0255   0.0337   0.0409   0.0456 
+  0.0467   0.0440   0.0381   0.0303 
+  0.0124   0.0195   0.0281   0.0374   0.0456   0.0511 
+  0.0527   0.0499   0.0434   0.0347 
+  0.0124   0.0196   0.0285   0.0381   0.0467   0.0527 
+  0.0546   0.0520   0.0455   0.0366 
+  0.0114   0.0182   0.0266   0.0357   0.0440   0.0499 
+  0.0520   0.0498   0.0438   0.0354 
+  0.0097   0.0155   0.0227   0.0307   0.0381   0.0434 
+  0.0455   0.0438   0.0387   0.0314 
+  0.0075   0.0121   0.0179   0.0243   0.0303   0.0347 
+  0.0366   0.0354   0.0314   0.0256 
+  0.0028   0.0043   0.0061   0.0079   0.0095   0.0104 
+  0.0105   0.0097   0.0082   0.0065 
+  0.0043   0.0066   0.0095   0.0124   0.0149   0.0164 
+  0.0166   0.0155   0.0133   0.0104 
+  0.0061   0.0095   0.0135   0.0178   0.0215   0.0238 
+  0.0243   0.0227   0.0196   0.0155 
+  0.0079   0.0124   0.0178   0.0235   0.0285   0.0318 
+  0.0326   0.0307   0.0266   0.0211 
+  0.0095   0.0149   0.0215   0.0285   0.0348   0.0390 
+  0.0402   0.0381   0.0331   0.0265 
+  0.0104   0.0164   0.0238   0.0318   0.0390   0.0440 
+  0.0456   0.0434   0.0380   0.0305 
+  0.0105   0.0166   0.0243   0.0326   0.0402   0.0456 
+  0.0475   0.0455   0.0400   0.0323 
+  0.0097   0.0155   0.0227   0.0307   0.0381   0.0434 
+  0.0455   0.0438   0.0387   0.0314 
+  0.0082   0.0133   0.0196   0.0266   0.0331   0.0380 
+  0.0400   0.0387   0.0344   0.0280 
+  0.0065   0.0104   0.0155   0.0211   0.0265   0.0305 
+  0.0323   0.0314   0.0280   0.0230 
+  0.0021   0.0032   0.0046   0.0060   0.0072   0.0080 
+  0.0081   0.0075   0.0065   0.0051 
+  0.0032   0.0050   0.0072   0.0095   0.0114   0.0127 
+  0.0129   0.0121   0.0104   0.0082 
+  0.0046   0.0072   0.0104   0.0137   0.0166   0.0185 
+  0.0190   0.0179   0.0155   0.0123 
+  0.0060   0.0095   0.0137   0.0182   0.0222   0.0249 
+  0.0256   0.0243   0.0211   0.0169 
+  0.0072   0.0114   0.0166   0.0222   0.0272   0.0307 
+  0.0318   0.0303   0.0265   0.0213 
+  0.0080   0.0127   0.0185   0.0249   0.0307   0.0348 
+  0.0363   0.0347   0.0305   0.0247 
+  0.0081   0.0129   0.0190   0.0256   0.0318   0.0363 
+  0.0380   0.0366   0.0323   0.0263 
+  0.0075   0.0121   0.0179   0.0243   0.0303   0.0347 
+  0.0366   0.0354   0.0314   0.0256 
+  0.0065   0.0104   0.0155   0.0211   0.0265   0.0305 
+  0.0323   0.0314   0.0280   0.0230 
+  0.0051   0.0082   0.0123   0.0169   0.0213   0.0247 
+  0.0263   0.0256   0.0230   0.0189 
diff --git a/regtest/analysis/rt-cube/histoA2.cube.reference b/regtest/analysis/rt-cube/histoA2.cube.reference
index 1fa84a79083ed3c49bc448ccdfbc67071c9b14ea..62beb715583cf971bbff6c2e13e8a00c8bf47212 100644
--- a/regtest/analysis/rt-cube/histoA2.cube.reference
+++ b/regtest/analysis/rt-cube/histoA2.cube.reference
@@ -1,207 +1,207 @@
 PLUMED CUBE FILE
 OUTER LOOP: X, MIDDLE LOOP: Y, INNER LOOP: Z
-1  -1.6500  -1.6500  -1.6500
-10   0.3000   0.0000   0.0000
-10   0.0000   0.3000   0.0000
-10   0.0000   0.0000   0.3000
-1   0.0000   0.0000   0.0000
-   0.0012   0.0018   0.0024   0.0031   0.0036   0.0039
-   0.0038   0.0034   0.0028   0.0021
-   0.0018   0.0027   0.0037   0.0047   0.0055   0.0059
-   0.0058   0.0052   0.0043   0.0032
-   0.0024   0.0037   0.0052   0.0066   0.0077   0.0083
-   0.0082   0.0073   0.0061   0.0046
-   0.0031   0.0047   0.0066   0.0085   0.0099   0.0107
-   0.0105   0.0095   0.0079   0.0060
-   0.0036   0.0055   0.0077   0.0099   0.0117   0.0126
-   0.0125   0.0113   0.0095   0.0072
-   0.0039   0.0059   0.0083   0.0107   0.0126   0.0137
-   0.0136   0.0124   0.0104   0.0080
-   0.0038   0.0058   0.0082   0.0105   0.0125   0.0136
-   0.0135   0.0124   0.0105   0.0081
-   0.0034   0.0052   0.0073   0.0095   0.0113   0.0124
-   0.0124   0.0114   0.0097   0.0075
-   0.0028   0.0043   0.0061   0.0079   0.0095   0.0104
-   0.0105   0.0097   0.0082   0.0065
-   0.0021   0.0032   0.0046   0.0060   0.0072   0.0080
-   0.0081   0.0075   0.0065   0.0051
-   0.0018   0.0027   0.0037   0.0047   0.0055   0.0059
-   0.0058   0.0052   0.0043   0.0032
-   0.0027   0.0041   0.0057   0.0072   0.0085   0.0091
-   0.0089   0.0080   0.0066   0.0050
-   0.0037   0.0057   0.0079   0.0101   0.0119   0.0128
-   0.0126   0.0114   0.0095   0.0072
-   0.0047   0.0072   0.0101   0.0130   0.0153   0.0165
-   0.0163   0.0148   0.0124   0.0095
-   0.0055   0.0085   0.0119   0.0153   0.0181   0.0196
-   0.0194   0.0177   0.0149   0.0114
-   0.0059   0.0091   0.0128   0.0165   0.0196   0.0213
-   0.0212   0.0195   0.0164   0.0127
-   0.0058   0.0089   0.0126   0.0163   0.0194   0.0212
-   0.0213   0.0196   0.0166   0.0129
-   0.0052   0.0080   0.0114   0.0148   0.0177   0.0195
-   0.0196   0.0182   0.0155   0.0121
-   0.0043   0.0066   0.0095   0.0124   0.0149   0.0164
-   0.0166   0.0155   0.0133   0.0104
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+  0.0409   0.0381   0.0326   0.0256 
+  0.0125   0.0194   0.0278   0.0366   0.0441   0.0490 
+  0.0499   0.0467   0.0402   0.0318 
+  0.0136   0.0212   0.0305   0.0403   0.0490   0.0546 
+  0.0559   0.0527   0.0456   0.0363 
+  0.0135   0.0213   0.0308   0.0409   0.0499   0.0559 
+  0.0576   0.0546   0.0475   0.0380 
+  0.0124   0.0196   0.0285   0.0381   0.0467   0.0527 
+  0.0546   0.0520   0.0455   0.0366 
+  0.0105   0.0166   0.0243   0.0326   0.0402   0.0456 
+  0.0475   0.0455   0.0400   0.0323 
+  0.0081   0.0129   0.0190   0.0256   0.0318   0.0363 
+  0.0380   0.0366   0.0323   0.0263 
+  0.0034   0.0052   0.0073   0.0095   0.0113   0.0124 
+  0.0124   0.0114   0.0097   0.0075 
+  0.0052   0.0080   0.0114   0.0148   0.0177   0.0195 
+  0.0196   0.0182   0.0155   0.0121 
+  0.0073   0.0114   0.0162   0.0212   0.0255   0.0281 
+  0.0285   0.0266   0.0227   0.0179 
+  0.0095   0.0148   0.0212   0.0279   0.0337   0.0374 
+  0.0381   0.0357   0.0307   0.0243 
+  0.0113   0.0177   0.0255   0.0337   0.0409   0.0456 
+  0.0467   0.0440   0.0381   0.0303 
+  0.0124   0.0195   0.0281   0.0374   0.0456   0.0511 
+  0.0527   0.0499   0.0434   0.0347 
+  0.0124   0.0196   0.0285   0.0381   0.0467   0.0527 
+  0.0546   0.0520   0.0455   0.0366 
+  0.0114   0.0182   0.0266   0.0357   0.0440   0.0499 
+  0.0520   0.0498   0.0438   0.0354 
+  0.0097   0.0155   0.0227   0.0307   0.0381   0.0434 
+  0.0455   0.0438   0.0387   0.0314 
+  0.0075   0.0121   0.0179   0.0243   0.0303   0.0347 
+  0.0366   0.0354   0.0314   0.0256 
+  0.0028   0.0043   0.0061   0.0079   0.0095   0.0104 
+  0.0105   0.0097   0.0082   0.0065 
+  0.0043   0.0066   0.0095   0.0124   0.0149   0.0164 
+  0.0166   0.0155   0.0133   0.0104 
+  0.0061   0.0095   0.0135   0.0178   0.0215   0.0238 
+  0.0243   0.0227   0.0196   0.0155 
+  0.0079   0.0124   0.0178   0.0235   0.0285   0.0318 
+  0.0326   0.0307   0.0266   0.0211 
+  0.0095   0.0149   0.0215   0.0285   0.0348   0.0390 
+  0.0402   0.0381   0.0331   0.0265 
+  0.0104   0.0164   0.0238   0.0318   0.0390   0.0440 
+  0.0456   0.0434   0.0380   0.0305 
+  0.0105   0.0166   0.0243   0.0326   0.0402   0.0456 
+  0.0475   0.0455   0.0400   0.0323 
+  0.0097   0.0155   0.0227   0.0307   0.0381   0.0434 
+  0.0455   0.0438   0.0387   0.0314 
+  0.0082   0.0133   0.0196   0.0266   0.0331   0.0380 
+  0.0400   0.0387   0.0344   0.0280 
+  0.0065   0.0104   0.0155   0.0211   0.0265   0.0305 
+  0.0323   0.0314   0.0280   0.0230 
+  0.0021   0.0032   0.0046   0.0060   0.0072   0.0080 
+  0.0081   0.0075   0.0065   0.0051 
+  0.0032   0.0050   0.0072   0.0095   0.0114   0.0127 
+  0.0129   0.0121   0.0104   0.0082 
+  0.0046   0.0072   0.0104   0.0137   0.0166   0.0185 
+  0.0190   0.0179   0.0155   0.0123 
+  0.0060   0.0095   0.0137   0.0182   0.0222   0.0249 
+  0.0256   0.0243   0.0211   0.0169 
+  0.0072   0.0114   0.0166   0.0222   0.0272   0.0307 
+  0.0318   0.0303   0.0265   0.0213 
+  0.0080   0.0127   0.0185   0.0249   0.0307   0.0348 
+  0.0363   0.0347   0.0305   0.0247 
+  0.0081   0.0129   0.0190   0.0256   0.0318   0.0363 
+  0.0380   0.0366   0.0323   0.0263 
+  0.0075   0.0121   0.0179   0.0243   0.0303   0.0347 
+  0.0366   0.0354   0.0314   0.0256 
+  0.0065   0.0104   0.0155   0.0211   0.0265   0.0305 
+  0.0323   0.0314   0.0280   0.0230 
+  0.0051   0.0082   0.0123   0.0169   0.0213   0.0247 
+  0.0263   0.0256   0.0230   0.0189 
diff --git a/regtest/analysis/rt-cube/plumed.dat b/regtest/analysis/rt-cube/plumed.dat
index f62456dd7877409758531206698dfab644d8bc45..ed5f4a5f261209fd96a09b2956e5b5de2d1512c2 100755
--- a/regtest/analysis/rt-cube/plumed.dat
+++ b/regtest/analysis/rt-cube/plumed.dat
@@ -15,7 +15,18 @@ HISTOGRAM ...
 PRINT_GRID GRID=hA1 STRIDE=1 FILE=histoA1
 PRINT_CUBE GRID=hA1 STRIDE=1 FILE=histoA1.cube FMT=%8.4f
 
-CONVERT_TO_FES GRID=hA1 TEMP=300 LABEL=fA1
+HISTOGRAM ...
+  ARG=x1,x2,x3
+  TEMP=300
+  GRID_MIN=0.0,0.0,0.0
+  GRID_MAX=3.0,3.0,3.0
+  GRID_BIN=10,10,10
+  BANDWIDTH=1.0,1.0,1.0
+  LABEL=fhA1
+... HISTOGRAM
+
+CONVERT_TO_FES GRID=fhA1 TEMP=300 LABEL=fA1
+PRINT_GRID GRID=fA1 STRIDE=1 FILE=fesA1 
 PRINT_CUBE GRID=fA1 STRIDE=1 FILE=fesA1.cube FMT=%8.3f
 
 HISTOGRAM ...
@@ -31,5 +42,16 @@ HISTOGRAM ...
 
 PRINT_CUBE GRID=hA2 STRIDE=2 FILE=histoA2.cube FMT=%8.4f
 
-CONVERT_TO_FES GRID=hA2 TEMP=300 LABEL=fA2
+HISTOGRAM ...
+  ARG=x1,x2,x3
+  TEMP=300
+  GRID_MIN=0.0,0.0,0.0
+  GRID_MAX=3.0,3.0,3.0
+  GRID_BIN=10,10,10
+  BANDWIDTH=1.0,1.0,1.0 
+  NOMEMORY
+  LABEL=fhA2
+... HISTOGRAM
+
+CONVERT_TO_FES GRID=fhA2 TEMP=300 LABEL=fA2
 PRINT_CUBE GRID=fA2 STRIDE=2 FILE=fesA2.cube FMT=%8.3f
diff --git a/regtest/analysis/rt-histo/analysis.0.fesA1.reference b/regtest/analysis/rt-histo/analysis.0.fesA1.reference
index 27fd0bbb32936bfd4c5b4343044469c28b883453..ba54f47334adc507bc270e6c3040ab5acd4baae6 100644
--- a/regtest/analysis/rt-histo/analysis.0.fesA1.reference
+++ b/regtest/analysis/rt-histo/analysis.0.fesA1.reference
@@ -4,44 +4,44 @@
 #! SET max_x 3.0
 #! SET nbins_x  100
 #! SET periodic_x false
-   0.0000      inf      nan
-   0.0300      inf      nan
-   0.0600      inf      nan
-   0.0900      inf      nan
-   0.1200      inf      nan
-   0.1500      inf      nan
-   0.1800      inf      nan
-   0.2100      inf      nan
-   0.2400      inf      nan
-   0.2700      inf      nan
-   0.3000      inf      nan
-   0.3300      inf      nan
-   0.3600      inf      nan
-   0.3900      inf      nan
-   0.4200      inf      nan
-   0.4500      inf      nan
-   0.4800      inf      nan
-   0.5100      inf      nan
-   0.5400      inf      nan
-   0.5700      inf      nan
-   0.6000      inf      nan
-   0.6300      inf      nan
-   0.6600      inf      nan
-   0.6900      inf      nan
-   0.7200      inf      nan
-   0.7500      inf      nan
-   0.7800      inf      nan
-   0.8100      inf      nan
-   0.8400      inf      nan
-   0.8700      inf      nan
-   0.9000      inf      nan
-   0.9300      inf      nan
-   0.9600      inf      nan
-   0.9900      inf      nan
-   1.0200      inf      nan
-   1.0500      inf      nan
-   1.0800      inf      nan
-   1.1100      inf      nan
+   0.0000      inf   0.0000
+   0.0300      inf   0.0000
+   0.0600      inf   0.0000
+   0.0900      inf   0.0000
+   0.1200      inf   0.0000
+   0.1500      inf   0.0000
+   0.1800      inf   0.0000
+   0.2100      inf   0.0000
+   0.2400      inf   0.0000
+   0.2700      inf   0.0000
+   0.3000      inf   0.0000
+   0.3300      inf   0.0000
+   0.3600      inf   0.0000
+   0.3900      inf   0.0000
+   0.4200      inf   0.0000
+   0.4500      inf   0.0000
+   0.4800      inf   0.0000
+   0.5100      inf   0.0000
+   0.5400      inf   0.0000
+   0.5700      inf   0.0000
+   0.6000      inf   0.0000
+   0.6300      inf   0.0000
+   0.6600      inf   0.0000
+   0.6900      inf   0.0000
+   0.7200      inf   0.0000
+   0.7500      inf   0.0000
+   0.7800      inf   0.0000
+   0.8100      inf   0.0000
+   0.8400      inf   0.0000
+   0.8700      inf   0.0000
+   0.9000      inf   0.0000
+   0.9300      inf   0.0000
+   0.9600      inf   0.0000
+   0.9900      inf   0.0000
+   1.0200      inf   0.0000
+   1.0500      inf   0.0000
+   1.0800      inf   0.0000
+   1.1100      inf   0.0000
    1.1400  12.7120 -89.7962
    1.1700  10.1304 -82.3132
    1.2000   7.7732 -74.8302
@@ -67,41 +67,41 @@
    1.8000   7.7732  74.8302
    1.8300  10.1304  82.3132
    1.8600  12.7120  89.7962
-   1.8900      inf      nan
-   1.9200      inf      nan
-   1.9500      inf      nan
-   1.9800      inf      nan
-   2.0100      inf      nan
-   2.0400      inf      nan
-   2.0700      inf      nan
-   2.1000      inf      nan
-   2.1300      inf      nan
-   2.1600      inf      nan
-   2.1900      inf      nan
-   2.2200      inf      nan
-   2.2500      inf      nan
-   2.2800      inf      nan
-   2.3100      inf      nan
-   2.3400      inf      nan
-   2.3700      inf      nan
-   2.4000      inf      nan
-   2.4300      inf      nan
-   2.4600      inf      nan
-   2.4900      inf      nan
-   2.5200      inf      nan
-   2.5500      inf      nan
-   2.5800      inf      nan
-   2.6100      inf      nan
-   2.6400      inf      nan
-   2.6700      inf      nan
-   2.7000      inf      nan
-   2.7300      inf      nan
-   2.7600      inf      nan
-   2.7900      inf      nan
-   2.8200      inf      nan
-   2.8500      inf      nan
-   2.8800      inf      nan
-   2.9100      inf      nan
-   2.9400      inf      nan
-   2.9700      inf      nan
-   3.0000      inf      nan
+   1.8900      inf   0.0000
+   1.9200      inf   0.0000
+   1.9500      inf   0.0000
+   1.9800      inf   0.0000
+   2.0100      inf   0.0000
+   2.0400      inf   0.0000
+   2.0700      inf   0.0000
+   2.1000      inf   0.0000
+   2.1300      inf   0.0000
+   2.1600      inf   0.0000
+   2.1900      inf   0.0000
+   2.2200      inf   0.0000
+   2.2500      inf   0.0000
+   2.2800      inf   0.0000
+   2.3100      inf   0.0000
+   2.3400      inf   0.0000
+   2.3700      inf   0.0000
+   2.4000      inf   0.0000
+   2.4300      inf   0.0000
+   2.4600      inf   0.0000
+   2.4900      inf   0.0000
+   2.5200      inf   0.0000
+   2.5500      inf   0.0000
+   2.5800      inf   0.0000
+   2.6100      inf   0.0000
+   2.6400      inf   0.0000
+   2.6700      inf   0.0000
+   2.7000      inf   0.0000
+   2.7300      inf   0.0000
+   2.7600      inf   0.0000
+   2.7900      inf   0.0000
+   2.8200      inf   0.0000
+   2.8500      inf   0.0000
+   2.8800      inf   0.0000
+   2.9100      inf   0.0000
+   2.9400      inf   0.0000
+   2.9700      inf   0.0000
+   3.0000      inf   0.0000
diff --git a/regtest/analysis/rt-histo/fesA1.reference b/regtest/analysis/rt-histo/fesA1.reference
index 8d48222eceef025b1c15e859c47dddc10dba73ff..d585ce0bcc9594681e76a02bae3af56aae2f009d 100644
--- a/regtest/analysis/rt-histo/fesA1.reference
+++ b/regtest/analysis/rt-histo/fesA1.reference
@@ -4,69 +4,69 @@
 #! SET max_x 3.0
 #! SET nbins_x  100
 #! SET periodic_x false
-   0.0000      inf      nan
-   0.0300      inf      nan
-   0.0600      inf      nan
-   0.0900      inf      nan
-   0.1200      inf      nan
-   0.1500      inf      nan
-   0.1800      inf      nan
-   0.2100      inf      nan
-   0.2400      inf      nan
-   0.2700      inf      nan
-   0.3000      inf      nan
-   0.3300      inf      nan
-   0.3600      inf      nan
-   0.3900      inf      nan
-   0.4200      inf      nan
-   0.4500      inf      nan
-   0.4800      inf      nan
-   0.5100      inf      nan
-   0.5400      inf      nan
-   0.5700      inf      nan
-   0.6000      inf      nan
-   0.6300      inf      nan
-   0.6600      inf      nan
-   0.6900      inf      nan
-   0.7200      inf      nan
-   0.7500      inf      nan
-   0.7800      inf      nan
-   0.8100      inf      nan
-   0.8400      inf      nan
-   0.8700      inf      nan
-   0.9000      inf      nan
-   0.9300      inf      nan
-   0.9600      inf      nan
-   0.9900      inf      nan
-   1.0200      inf      nan
-   1.0500      inf      nan
-   1.0800      inf      nan
-   1.1100      inf      nan
-   1.1400  14.4487 -90.0824
-   1.1700  11.8631 -82.4292
-   1.2000   9.5032 -74.8639
-   1.2300   7.3697 -67.3543
-   1.2600   5.4619 -59.8764
-   1.2900   3.7779 -52.3856
-   1.3200   2.3185 -44.8981
-   1.3500   1.0837 -37.4143
-   1.3800   0.0735 -29.9314
-   1.4100  -0.7122 -22.4487
-   1.4400  -1.2733 -14.9663
+   0.0000      inf   0.0000
+   0.0300      inf   0.0000
+   0.0600      inf   0.0000
+   0.0900      inf   0.0000
+   0.1200      inf   0.0000
+   0.1500      inf   0.0000
+   0.1800      inf   0.0000
+   0.2100      inf   0.0000
+   0.2400      inf   0.0000
+   0.2700      inf   0.0000
+   0.3000      inf   0.0000
+   0.3300      inf   0.0000
+   0.3600      inf   0.0000
+   0.3900      inf   0.0000
+   0.4200      inf   0.0000
+   0.4500      inf   0.0000
+   0.4800      inf   0.0000
+   0.5100      inf   0.0000
+   0.5400      inf   0.0000
+   0.5700      inf   0.0000
+   0.6000      inf   0.0000
+   0.6300      inf   0.0000
+   0.6600      inf   0.0000
+   0.6900      inf   0.0000
+   0.7200      inf   0.0000
+   0.7500      inf   0.0000
+   0.7800      inf   0.0000
+   0.8100      inf   0.0000
+   0.8400      inf   0.0000
+   0.8700      inf   0.0000
+   0.9000      inf   0.0000
+   0.9300      inf   0.0000
+   0.9600      inf   0.0000
+   0.9900      inf   0.0000
+   1.0200      inf   0.0000
+   1.0500      inf   0.0000
+   1.0800      inf   0.0000
+   1.1100      inf   0.0000
+   1.1400  14.4409 -89.7962
+   1.1700  11.8593 -82.3132
+   1.2000   9.5021 -74.8302
+   1.2300   7.3695 -67.3471
+   1.2600   5.4613 -59.8641
+   1.2900   3.7776 -52.3811
+   1.3200   2.3184 -44.8981
+   1.3500   1.0837 -37.4151
+   1.3800   0.0735 -29.9321
+   1.4100  -0.7122 -22.4490
+   1.4400  -1.2734 -14.9660
    1.4700  -1.6101  -7.4830
-   1.5000  -1.7223   0.0000
+   1.5000  -1.7224   0.0000
    1.5300  -1.6101   7.4830
-   1.5600  -1.2733  14.9663
-   1.5900  -0.7122  22.4487
-   1.6200   0.0698  29.7442
-   1.6500   1.0670  36.5796
-   1.6800   2.2443  41.2424
-   1.7100   3.4613  37.5174
-   1.7400   4.2792  12.7801
-   1.7700   4.0939 -23.8285
-   1.8000   3.0696 -40.4271
-   1.8300   1.8368 -40.1618
-   1.8600   0.7120 -34.4135
+   1.5600  -1.2734  14.9660
+   1.5900  -0.7122  22.4490
+   1.6200   0.0698  29.7449
+   1.6500   1.0670  36.5804
+   1.6800   2.2442  41.2424
+   1.7100   3.4610  37.5147
+   1.7400   4.2788  12.7785
+   1.7700   4.0938 -23.8284
+   1.8000   3.0696 -40.4258
+   1.8300   1.8367 -40.1606
+   1.8600   0.7119 -34.4131
    1.8900  -0.2133 -27.4377
    1.9200  -0.9242 -19.9547
    1.9500  -1.4105 -12.4717
@@ -83,25 +83,25 @@
    2.2800   8.0555  69.8415
    2.3100  10.2630  77.3245
    2.3400  12.6949  84.8075
-   2.3700      inf      nan
-   2.4000      inf      nan
-   2.4300      inf      nan
-   2.4600      inf      nan
-   2.4900      inf      nan
-   2.5200      inf      nan
-   2.5500      inf      nan
-   2.5800      inf      nan
-   2.6100      inf      nan
-   2.6400      inf      nan
-   2.6700      inf      nan
-   2.7000      inf      nan
-   2.7300      inf      nan
-   2.7600      inf      nan
-   2.7900      inf      nan
-   2.8200      inf      nan
-   2.8500      inf      nan
-   2.8800      inf      nan
-   2.9100      inf      nan
-   2.9400      inf      nan
-   2.9700      inf      nan
-   3.0000      inf      nan
+   2.3700      inf   0.0000
+   2.4000      inf   0.0000
+   2.4300      inf   0.0000
+   2.4600      inf   0.0000
+   2.4900      inf   0.0000
+   2.5200      inf   0.0000
+   2.5500      inf   0.0000
+   2.5800      inf   0.0000
+   2.6100      inf   0.0000
+   2.6400      inf   0.0000
+   2.6700      inf   0.0000
+   2.7000      inf   0.0000
+   2.7300      inf   0.0000
+   2.7600      inf   0.0000
+   2.7900      inf   0.0000
+   2.8200      inf   0.0000
+   2.8500      inf   0.0000
+   2.8800      inf   0.0000
+   2.9100      inf   0.0000
+   2.9400      inf   0.0000
+   2.9700      inf   0.0000
+   3.0000      inf   0.0000
diff --git a/regtest/analysis/rt-histo/fesA1u.reference b/regtest/analysis/rt-histo/fesA1u.reference
index 3dface3c882b88c4102913840f32450ec37b2333..c573d5d233dfc459020520e4e858a5d085495e99 100644
--- a/regtest/analysis/rt-histo/fesA1u.reference
+++ b/regtest/analysis/rt-histo/fesA1u.reference
@@ -4,69 +4,69 @@
 #! SET max_x 3.0
 #! SET nbins_x  100
 #! SET periodic_x false
-   0.0000      inf      nan
-   0.0300      inf      nan
-   0.0600      inf      nan
-   0.0900      inf      nan
-   0.1200      inf      nan
-   0.1500      inf      nan
-   0.1800      inf      nan
-   0.2100      inf      nan
-   0.2400      inf      nan
-   0.2700      inf      nan
-   0.3000      inf      nan
-   0.3300      inf      nan
-   0.3600      inf      nan
-   0.3900      inf      nan
-   0.4200      inf      nan
-   0.4500      inf      nan
-   0.4800      inf      nan
-   0.5100      inf      nan
-   0.5400      inf      nan
-   0.5700      inf      nan
-   0.6000      inf      nan
-   0.6300      inf      nan
-   0.6600      inf      nan
-   0.6900      inf      nan
-   0.7200      inf      nan
-   0.7500      inf      nan
-   0.7800      inf      nan
-   0.8100      inf      nan
-   0.8400      inf      nan
-   0.8700      inf      nan
-   0.9000      inf      nan
-   0.9300      inf      nan
-   0.9600      inf      nan
-   0.9900      inf      nan
-   1.0200      inf      nan
-   1.0500      inf      nan
-   1.0800      inf      nan
-   1.1100      inf      nan
-   1.1400  12.7198 -90.0824
-   1.1700  10.1341 -82.4292
-   1.2000   7.7743 -74.8639
-   1.2300   5.6408 -67.3543
-   1.2600   3.7329 -59.8764
-   1.2900   2.0489 -52.3856
-   1.3200   0.5896 -44.8981
-   1.3500  -0.6452 -37.4143
-   1.3800  -1.6554 -29.9314
-   1.4100  -2.4411 -22.4487
-   1.4400  -3.0023 -14.9663
-   1.4700  -3.3391  -7.4830
+   0.0000      inf   0.0000
+   0.0300      inf   0.0000
+   0.0600      inf   0.0000
+   0.0900      inf   0.0000
+   0.1200      inf   0.0000
+   0.1500      inf   0.0000
+   0.1800      inf   0.0000
+   0.2100      inf   0.0000
+   0.2400      inf   0.0000
+   0.2700      inf   0.0000
+   0.3000      inf   0.0000
+   0.3300      inf   0.0000
+   0.3600      inf   0.0000
+   0.3900      inf   0.0000
+   0.4200      inf   0.0000
+   0.4500      inf   0.0000
+   0.4800      inf   0.0000
+   0.5100      inf   0.0000
+   0.5400      inf   0.0000
+   0.5700      inf   0.0000
+   0.6000      inf   0.0000
+   0.6300      inf   0.0000
+   0.6600      inf   0.0000
+   0.6900      inf   0.0000
+   0.7200      inf   0.0000
+   0.7500      inf   0.0000
+   0.7800      inf   0.0000
+   0.8100      inf   0.0000
+   0.8400      inf   0.0000
+   0.8700      inf   0.0000
+   0.9000      inf   0.0000
+   0.9300      inf   0.0000
+   0.9600      inf   0.0000
+   0.9900      inf   0.0000
+   1.0200      inf   0.0000
+   1.0500      inf   0.0000
+   1.0800      inf   0.0000
+   1.1100      inf   0.0000
+   1.1400  12.7120 -89.7962
+   1.1700  10.1304 -82.3132
+   1.2000   7.7732 -74.8302
+   1.2300   5.6406 -67.3471
+   1.2600   3.7324 -59.8641
+   1.2900   2.0487 -52.3811
+   1.3200   0.5895 -44.8981
+   1.3500  -0.6452 -37.4151
+   1.3800  -1.6554 -29.9321
+   1.4100  -2.4411 -22.4490
+   1.4400  -3.0023 -14.9660
+   1.4700  -3.3390  -7.4830
    1.5000  -3.4513   0.0000
-   1.5300  -3.3391   7.4830
-   1.5600  -3.0023  14.9663
-   1.5900  -2.4411  22.4487
-   1.6200  -1.6592  29.7442
-   1.6500  -0.6619  36.5796
+   1.5300  -3.3390   7.4830
+   1.5600  -3.0023  14.9660
+   1.5900  -2.4411  22.4490
+   1.6200  -1.6591  29.7449
+   1.6500  -0.6620  36.5804
    1.6800   0.5153  41.2424
-   1.7100   1.7323  37.5174
-   1.7400   2.5502  12.7801
-   1.7700   2.3649 -23.8285
-   1.8000   1.3407 -40.4271
-   1.8300   0.1078 -40.1618
-   1.8600  -1.0170 -34.4135
+   1.7100   1.7321  37.5147
+   1.7400   2.5499  12.7785
+   1.7700   2.3649 -23.8284
+   1.8000   1.3406 -40.4258
+   1.8300   0.1078 -40.1606
+   1.8600  -1.0170 -34.4131
    1.8900  -1.9422 -27.4377
    1.9200  -2.6531 -19.9547
    1.9500  -3.1395 -12.4717
@@ -83,25 +83,25 @@
    2.2800   6.3265  69.8415
    2.3100   8.5340  77.3245
    2.3400  10.9660  84.8075
-   2.3700      inf      nan
-   2.4000      inf      nan
-   2.4300      inf      nan
-   2.4600      inf      nan
-   2.4900      inf      nan
-   2.5200      inf      nan
-   2.5500      inf      nan
-   2.5800      inf      nan
-   2.6100      inf      nan
-   2.6400      inf      nan
-   2.6700      inf      nan
-   2.7000      inf      nan
-   2.7300      inf      nan
-   2.7600      inf      nan
-   2.7900      inf      nan
-   2.8200      inf      nan
-   2.8500      inf      nan
-   2.8800      inf      nan
-   2.9100      inf      nan
-   2.9400      inf      nan
-   2.9700      inf      nan
-   3.0000      inf      nan
+   2.3700      inf   0.0000
+   2.4000      inf   0.0000
+   2.4300      inf   0.0000
+   2.4600      inf   0.0000
+   2.4900      inf   0.0000
+   2.5200      inf   0.0000
+   2.5500      inf   0.0000
+   2.5800      inf   0.0000
+   2.6100      inf   0.0000
+   2.6400      inf   0.0000
+   2.6700      inf   0.0000
+   2.7000      inf   0.0000
+   2.7300      inf   0.0000
+   2.7600      inf   0.0000
+   2.7900      inf   0.0000
+   2.8200      inf   0.0000
+   2.8500      inf   0.0000
+   2.8800      inf   0.0000
+   2.9100      inf   0.0000
+   2.9400      inf   0.0000
+   2.9700      inf   0.0000
+   3.0000      inf   0.0000
diff --git a/regtest/analysis/rt-histo/fesA2.reference b/regtest/analysis/rt-histo/fesA2.reference
index a844cd83b428ed5dd82d1565e7b39a85fb026006..8845baeee7e85e8975f3de091fe42c969bbc6df1 100644
--- a/regtest/analysis/rt-histo/fesA2.reference
+++ b/regtest/analysis/rt-histo/fesA2.reference
@@ -4,44 +4,44 @@
 #! SET max_x 3.0
 #! SET nbins_x  100
 #! SET periodic_x false
-   0.0000      inf      nan
-   0.0300      inf      nan
-   0.0600      inf      nan
-   0.0900      inf      nan
-   0.1200      inf      nan
-   0.1500      inf      nan
-   0.1800      inf      nan
-   0.2100      inf      nan
-   0.2400      inf      nan
-   0.2700      inf      nan
-   0.3000      inf      nan
-   0.3300      inf      nan
-   0.3600      inf      nan
-   0.3900      inf      nan
-   0.4200      inf      nan
-   0.4500      inf      nan
-   0.4800      inf      nan
-   0.5100      inf      nan
-   0.5400      inf      nan
-   0.5700      inf      nan
-   0.6000      inf      nan
-   0.6300      inf      nan
-   0.6600      inf      nan
-   0.6900      inf      nan
-   0.7200      inf      nan
-   0.7500      inf      nan
-   0.7800      inf      nan
-   0.8100      inf      nan
-   0.8400      inf      nan
-   0.8700      inf      nan
-   0.9000      inf      nan
-   0.9300      inf      nan
-   0.9600      inf      nan
-   0.9900      inf      nan
-   1.0200      inf      nan
-   1.0500      inf      nan
-   1.0800      inf      nan
-   1.1100      inf      nan
+   0.0000      inf   0.0000
+   0.0300      inf   0.0000
+   0.0600      inf   0.0000
+   0.0900      inf   0.0000
+   0.1200      inf   0.0000
+   0.1500      inf   0.0000
+   0.1800      inf   0.0000
+   0.2100      inf   0.0000
+   0.2400      inf   0.0000
+   0.2700      inf   0.0000
+   0.3000      inf   0.0000
+   0.3300      inf   0.0000
+   0.3600      inf   0.0000
+   0.3900      inf   0.0000
+   0.4200      inf   0.0000
+   0.4500      inf   0.0000
+   0.4800      inf   0.0000
+   0.5100      inf   0.0000
+   0.5400      inf   0.0000
+   0.5700      inf   0.0000
+   0.6000      inf   0.0000
+   0.6300      inf   0.0000
+   0.6600      inf   0.0000
+   0.6900      inf   0.0000
+   0.7200      inf   0.0000
+   0.7500      inf   0.0000
+   0.7800      inf   0.0000
+   0.8100      inf   0.0000
+   0.8400      inf   0.0000
+   0.8700      inf   0.0000
+   0.9000      inf   0.0000
+   0.9300      inf   0.0000
+   0.9600      inf   0.0000
+   0.9900      inf   0.0000
+   1.0200      inf   0.0000
+   1.0500      inf   0.0000
+   1.0800      inf   0.0000
+   1.1100      inf   0.0000
    1.1400  14.4410 -89.7962
    1.1700  11.8593 -82.3132
    1.2000   9.5022 -74.8302
@@ -83,25 +83,25 @@
    2.2800   8.0555  69.8415
    2.3100  10.2630  77.3245
    2.3400  12.6949  84.8075
-   2.3700      inf      nan
-   2.4000      inf      nan
-   2.4300      inf      nan
-   2.4600      inf      nan
-   2.4900      inf      nan
-   2.5200      inf      nan
-   2.5500      inf      nan
-   2.5800      inf      nan
-   2.6100      inf      nan
-   2.6400      inf      nan
-   2.6700      inf      nan
-   2.7000      inf      nan
-   2.7300      inf      nan
-   2.7600      inf      nan
-   2.7900      inf      nan
-   2.8200      inf      nan
-   2.8500      inf      nan
-   2.8800      inf      nan
-   2.9100      inf      nan
-   2.9400      inf      nan
-   2.9700      inf      nan
-   3.0000      inf      nan
+   2.3700      inf   0.0000
+   2.4000      inf   0.0000
+   2.4300      inf   0.0000
+   2.4600      inf   0.0000
+   2.4900      inf   0.0000
+   2.5200      inf   0.0000
+   2.5500      inf   0.0000
+   2.5800      inf   0.0000
+   2.6100      inf   0.0000
+   2.6400      inf   0.0000
+   2.6700      inf   0.0000
+   2.7000      inf   0.0000
+   2.7300      inf   0.0000
+   2.7600      inf   0.0000
+   2.7900      inf   0.0000
+   2.8200      inf   0.0000
+   2.8500      inf   0.0000
+   2.8800      inf   0.0000
+   2.9100      inf   0.0000
+   2.9400      inf   0.0000
+   2.9700      inf   0.0000
+   3.0000      inf   0.0000
diff --git a/regtest/analysis/rt-histo/fesA2u.reference b/regtest/analysis/rt-histo/fesA2u.reference
index 2916194d6a5cdb8f6e8980e9941136f78af70cf3..6c5d8a756d49ead0aff4800af75009de96473743 100644
--- a/regtest/analysis/rt-histo/fesA2u.reference
+++ b/regtest/analysis/rt-histo/fesA2u.reference
@@ -4,44 +4,44 @@
 #! SET max_x 3.0
 #! SET nbins_x  100
 #! SET periodic_x false
-   0.0000      inf      nan
-   0.0300      inf      nan
-   0.0600      inf      nan
-   0.0900      inf      nan
-   0.1200      inf      nan
-   0.1500      inf      nan
-   0.1800      inf      nan
-   0.2100      inf      nan
-   0.2400      inf      nan
-   0.2700      inf      nan
-   0.3000      inf      nan
-   0.3300      inf      nan
-   0.3600      inf      nan
-   0.3900      inf      nan
-   0.4200      inf      nan
-   0.4500      inf      nan
-   0.4800      inf      nan
-   0.5100      inf      nan
-   0.5400      inf      nan
-   0.5700      inf      nan
-   0.6000      inf      nan
-   0.6300      inf      nan
-   0.6600      inf      nan
-   0.6900      inf      nan
-   0.7200      inf      nan
-   0.7500      inf      nan
-   0.7800      inf      nan
-   0.8100      inf      nan
-   0.8400      inf      nan
-   0.8700      inf      nan
-   0.9000      inf      nan
-   0.9300      inf      nan
-   0.9600      inf      nan
-   0.9900      inf      nan
-   1.0200      inf      nan
-   1.0500      inf      nan
-   1.0800      inf      nan
-   1.1100      inf      nan
+   0.0000      inf   0.0000
+   0.0300      inf   0.0000
+   0.0600      inf   0.0000
+   0.0900      inf   0.0000
+   0.1200      inf   0.0000
+   0.1500      inf   0.0000
+   0.1800      inf   0.0000
+   0.2100      inf   0.0000
+   0.2400      inf   0.0000
+   0.2700      inf   0.0000
+   0.3000      inf   0.0000
+   0.3300      inf   0.0000
+   0.3600      inf   0.0000
+   0.3900      inf   0.0000
+   0.4200      inf   0.0000
+   0.4500      inf   0.0000
+   0.4800      inf   0.0000
+   0.5100      inf   0.0000
+   0.5400      inf   0.0000
+   0.5700      inf   0.0000
+   0.6000      inf   0.0000
+   0.6300      inf   0.0000
+   0.6600      inf   0.0000
+   0.6900      inf   0.0000
+   0.7200      inf   0.0000
+   0.7500      inf   0.0000
+   0.7800      inf   0.0000
+   0.8100      inf   0.0000
+   0.8400      inf   0.0000
+   0.8700      inf   0.0000
+   0.9000      inf   0.0000
+   0.9300      inf   0.0000
+   0.9600      inf   0.0000
+   0.9900      inf   0.0000
+   1.0200      inf   0.0000
+   1.0500      inf   0.0000
+   1.0800      inf   0.0000
+   1.1100      inf   0.0000
    1.1400  12.7120 -89.7962
    1.1700  10.1304 -82.3132
    1.2000   7.7732 -74.8302
@@ -83,25 +83,25 @@
    2.2800   6.3265  69.8415
    2.3100   8.5340  77.3245
    2.3400  10.9660  84.8075
-   2.3700      inf      nan
-   2.4000      inf      nan
-   2.4300      inf      nan
-   2.4600      inf      nan
-   2.4900      inf      nan
-   2.5200      inf      nan
-   2.5500      inf      nan
-   2.5800      inf      nan
-   2.6100      inf      nan
-   2.6400      inf      nan
-   2.6700      inf      nan
-   2.7000      inf      nan
-   2.7300      inf      nan
-   2.7600      inf      nan
-   2.7900      inf      nan
-   2.8200      inf      nan
-   2.8500      inf      nan
-   2.8800      inf      nan
-   2.9100      inf      nan
-   2.9400      inf      nan
-   2.9700      inf      nan
-   3.0000      inf      nan
+   2.3700      inf   0.0000
+   2.4000      inf   0.0000
+   2.4300      inf   0.0000
+   2.4600      inf   0.0000
+   2.4900      inf   0.0000
+   2.5200      inf   0.0000
+   2.5500      inf   0.0000
+   2.5800      inf   0.0000
+   2.6100      inf   0.0000
+   2.6400      inf   0.0000
+   2.6700      inf   0.0000
+   2.7000      inf   0.0000
+   2.7300      inf   0.0000
+   2.7600      inf   0.0000
+   2.7900      inf   0.0000
+   2.8200      inf   0.0000
+   2.8500      inf   0.0000
+   2.8800      inf   0.0000
+   2.9100      inf   0.0000
+   2.9400      inf   0.0000
+   2.9700      inf   0.0000
+   3.0000      inf   0.0000
diff --git a/regtest/analysis/rt-histo/fesA3.reference b/regtest/analysis/rt-histo/fesA3.reference
index 644466e0d1bd20d9ccf59082a6c8b8d84612c758..7300860a2d490164aad9a7f2aff0ac20eab3e278 100644
--- a/regtest/analysis/rt-histo/fesA3.reference
+++ b/regtest/analysis/rt-histo/fesA3.reference
@@ -4,27 +4,27 @@
 #! SET max_x 3.0
 #! SET nbins_x  100
 #! SET periodic_x false
-   0.0000      inf      nan
-   0.0300      inf      nan
-   0.0600      inf      nan
-   0.0900      inf      nan
-   0.1200      inf      nan
-   0.1500      inf      nan
-   0.1800      inf      nan
-   0.2100      inf      nan
-   0.2400      inf      nan
-   0.2700      inf      nan
-   0.3000      inf      nan
-   0.3300      inf      nan
-   0.3600      inf      nan
-   0.3900      inf      nan
-   0.4200      inf      nan
-   0.4500      inf      nan
-   0.4800      inf      nan
-   0.5100      inf      nan
-   0.5400      inf      nan
-   0.5700      inf      nan
-   0.6000      inf      nan
+   0.0000      inf   0.0000
+   0.0300      inf   0.0000
+   0.0600      inf   0.0000
+   0.0900      inf   0.0000
+   0.1200      inf   0.0000
+   0.1500      inf   0.0000
+   0.1800      inf   0.0000
+   0.2100      inf   0.0000
+   0.2400      inf   0.0000
+   0.2700      inf   0.0000
+   0.3000      inf   0.0000
+   0.3300      inf   0.0000
+   0.3600      inf   0.0000
+   0.3900      inf   0.0000
+   0.4200      inf   0.0000
+   0.4500      inf   0.0000
+   0.4800      inf   0.0000
+   0.5100      inf   0.0000
+   0.5400      inf   0.0000
+   0.5700      inf   0.0000
+   0.6000      inf   0.0000
    0.6300  16.3628 -92.2905
    0.6600  13.7063 -84.8075
    0.6900  11.2743 -77.3245
@@ -83,25 +83,25 @@
    2.2800   9.0668  69.8415
    2.3100  11.2743  77.3245
    2.3400  13.7063  84.8075
-   2.3700      inf      nan
-   2.4000      inf      nan
-   2.4300      inf      nan
-   2.4600      inf      nan
-   2.4900      inf      nan
-   2.5200      inf      nan
-   2.5500      inf      nan
-   2.5800      inf      nan
-   2.6100      inf      nan
-   2.6400      inf      nan
-   2.6700      inf      nan
-   2.7000      inf      nan
-   2.7300      inf      nan
-   2.7600      inf      nan
-   2.7900      inf      nan
-   2.8200      inf      nan
-   2.8500      inf      nan
-   2.8800      inf      nan
-   2.9100      inf      nan
-   2.9400      inf      nan
-   2.9700      inf      nan
-   3.0000      inf      nan
+   2.3700      inf   0.0000
+   2.4000      inf   0.0000
+   2.4300      inf   0.0000
+   2.4600      inf   0.0000
+   2.4900      inf   0.0000
+   2.5200      inf   0.0000
+   2.5500      inf   0.0000
+   2.5800      inf   0.0000
+   2.6100      inf   0.0000
+   2.6400      inf   0.0000
+   2.6700      inf   0.0000
+   2.7000      inf   0.0000
+   2.7300      inf   0.0000
+   2.7600      inf   0.0000
+   2.7900      inf   0.0000
+   2.8200      inf   0.0000
+   2.8500      inf   0.0000
+   2.8800      inf   0.0000
+   2.9100      inf   0.0000
+   2.9400      inf   0.0000
+   2.9700      inf   0.0000
+   3.0000      inf   0.0000
diff --git a/regtest/analysis/rt-histo/plumed.dat b/regtest/analysis/rt-histo/plumed.dat
index d1b86eef2d2d6f90b74d7f33394682aa6e39a224..c549aba76e5ec3528405e485193f1bc475cc6a9a 100755
--- a/regtest/analysis/rt-histo/plumed.dat
+++ b/regtest/analysis/rt-histo/plumed.dat
@@ -70,17 +70,69 @@ HISTOGRAM ...
 
 PRINT_GRID GRID=hA1u FILE=histoA1u STRIDE=1 FMT=%8.4f 
 PRINT_GRID GRID=hA2u FILE=histoA2u STRIDE=2 FMT=%8.4f
- 
-CONVERT_TO_FES GRID=hA1 TEMP=300 LABEL=fA1
-CONVERT_TO_FES GRID=hA2 TEMP=300 LABEL=fA2
-CONVERT_TO_FES GRID=hA3 TEMP=300 LABEL=fA3
+
+HISTOGRAM ...
+  ARG=x
+  TEMP=300
+  GRID_MIN=0.0
+  GRID_MAX=3.0
+  GRID_BIN=100
+  BANDWIDTH=0.1
+  LABEL=fhA1
+... HISTOGRAM
+
+HISTOGRAM ...
+  ARG=x
+  TEMP=300
+  GRID_MIN=0.0
+  GRID_MAX=3.0
+  GRID_BIN=100
+  BANDWIDTH=0.1
+  LABEL=fhA2
+... HISTOGRAM
+
+HISTOGRAM ...
+  ARG=x
+  TEMP=300
+  GRID_MIN=0.0
+  GRID_MAX=3.0
+  GRID_BIN=100
+  BANDWIDTH=0.1
+  LABEL=fhA3
+... HISTOGRAM
+
+CONVERT_TO_FES GRID=fhA1 TEMP=300 LABEL=fA1
+CONVERT_TO_FES GRID=fhA2 TEMP=300 LABEL=fA2
+CONVERT_TO_FES GRID=fhA3 TEMP=300 LABEL=fA3
 
 PRINT_GRID GRID=fA1 FILE=fesA1 STRIDE=1 FMT=%8.4f
 PRINT_GRID GRID=fA2 FILE=fesA2 STRIDE=2 FMT=%8.4f
 PRINT_GRID GRID=fA3 FILE=fesA3 USE_ALL_DATA FMT=%8.4f
 
-CONVERT_TO_FES GRID=hA1u TEMP=300 LABEL=fA1u
-CONVERT_TO_FES GRID=hA2u TEMP=300 LABEL=fA2u
+HISTOGRAM ...
+  ARG=x
+  TEMP=300
+  GRID_MIN=0.0
+  GRID_MAX=3.0
+  GRID_BIN=100
+  BANDWIDTH=0.1
+  UNORMALIZED
+  LABEL=fhA1u
+... HISTOGRAM
+
+HISTOGRAM ...
+  ARG=x
+  TEMP=300
+  GRID_MIN=0.0
+  GRID_MAX=3.0
+  GRID_BIN=100
+  BANDWIDTH=0.1
+  UNORMALIZED
+  LABEL=fhA2u
+... HISTOGRAM
+
+CONVERT_TO_FES GRID=fhA1u TEMP=300 LABEL=fA1u
+CONVERT_TO_FES GRID=fhA2u TEMP=300 LABEL=fA2u
 
 PRINT_GRID GRID=fA1u FILE=fesA1u STRIDE=1 FMT=%8.4f 
 PRINT_GRID GRID=fA2u FILE=fesA2u STRIDE=2 FMT=%8.4f
diff --git a/regtest/analysis/rt0/histoB.reference b/regtest/analysis/rt0/histoB.reference
index 292e70eff32ddd97ae7e58bacfc7148fd21583d3..5760efcba67b2f6279dc36156ee8aeed65b73b6b 100644
--- a/regtest/analysis/rt0/histoB.reference
+++ b/regtest/analysis/rt0/histoB.reference
@@ -69,10 +69,10 @@
    1.8600   0.8262  11.4287
    1.8900   1.1981  13.1788
    1.9200   1.5931  12.7452
-   1.9500   1.9362   9.6809
-   1.9800   2.1505   4.3011
+   1.9500   1.9362   9.6808
+   1.9800   2.1505   4.3010
    2.0100   2.1830  -2.1830
-   2.0400   2.0253  -8.1012
+   2.0400   2.0253  -8.1011
    2.0700   1.7172 -12.0206
    2.1000   1.3307 -13.3071
    2.1300   0.9424 -12.2517
diff --git a/regtest/crystallization/rt-wcsurface/dens.cube.reference b/regtest/crystallization/rt-wcsurface/dens.cube.reference
index 6949260d4b0255e7ecdfae48a93bc6e087504902..8d76ca180dd82e798da1622dbc30ac21283c658f 100644
--- a/regtest/crystallization/rt-wcsurface/dens.cube.reference
+++ b/regtest/crystallization/rt-wcsurface/dens.cube.reference
@@ -1,987 +1,987 @@
 PLUMED CUBE FILE
 OUTER LOOP: X, MIDDLE LOOP: Y, INNER LOOP: Z
-1 -13.756066 -13.756066 -26.573696
-14 1.965152 0.000000 0.000000
-14 0.000000 1.965152 0.000000
-28 0.000000 0.000000 1.898121
-1 0.000000 0.000000 0.000000
-0.829700 0.803787 0.766391 0.732956 0.721223 0.706944 
-0.603315 0.384357 0.154712 0.012185 -0.054134 -0.049555 
--0.011938 -0.003065 -0.009489 -0.006212 -0.001608 -0.000891 
--0.009069 -0.000068 0.069468 0.228062 0.425331 0.588952 
-0.700552 0.747770 0.778392 0.816400 
-0.834123 0.792663 0.741688 0.710569 0.713576 0.699878 
-0.558166 0.293241 0.083652 -0.013240 -0.061470 -0.044681 
-0.010063 0.027308 0.011554 0.002431 0.013317 0.019324 
-0.012215 0.022801 0.064843 0.172366 0.321249 0.472082 
-0.624719 0.729213 0.791885 0.832590 
-0.826259 0.788752 0.755253 0.747347 0.748300 0.696533 
-0.512976 0.250046 0.093038 0.038197 -0.001266 -0.005251 
-0.025264 0.042923 0.029047 0.008992 -0.008844 -0.024656 
--0.009098 0.015537 0.019369 0.076680 0.198330 0.357206 
-0.539422 0.681614 0.774384 0.825282 
-0.803445 0.770701 0.763796 0.779429 0.768165 0.689585 
-0.505377 0.270236 0.147192 0.127012 0.099389 0.056647 
-0.034860 0.037764 0.023154 -0.005720 -0.041080 -0.055242 
--0.006952 0.026276 0.006590 0.055155 0.214988 0.418483 
-0.587962 0.698743 0.772033 0.811079 
-0.774641 0.743360 0.746048 0.769223 0.753390 0.674432 
-0.504322 0.276015 0.139938 0.125761 0.122710 0.080956 
-0.040345 0.032137 0.024673 0.005088 -0.022004 -0.018579 
-0.038257 0.061466 0.042370 0.118155 0.320964 0.530810 
-0.663742 0.738301 0.779398 0.793259 
-0.766841 0.743698 0.748612 0.758656 0.717812 0.615405 
-0.451992 0.249020 0.097994 0.054445 0.051567 0.032995 
-0.020625 0.024251 0.036761 0.041542 0.015732 0.000253 
-0.022465 0.027787 0.027593 0.133578 0.344214 0.536295 
-0.660010 0.739935 0.778220 0.784601 
-0.772441 0.770024 0.783711 0.775947 0.684480 0.516923 
-0.353421 0.197665 0.052622 -0.015269 -0.027667 -0.021490 
-0.003367 0.023501 0.046430 0.067343 0.037672 -0.008497 
--0.022283 -0.022767 -0.004490 0.114893 0.323042 0.515203 
-0.641860 0.715392 0.753994 0.772108 
-0.794098 0.813488 0.831229 0.811118 0.683285 0.448135 
-0.250881 0.130397 0.020492 -0.054847 -0.067642 -0.025394 
-0.025544 0.040526 0.048582 0.068976 0.056415 0.015334 
--0.015382 -0.021757 0.000432 0.107880 0.297048 0.494288 
-0.630977 0.693092 0.727466 0.765117 
-0.830287 0.858989 0.870374 0.845417 0.716164 0.457062 
-0.216732 0.099958 0.026209 -0.051633 -0.069929 -0.005303 
-0.051604 0.041228 0.018198 0.040159 0.061055 0.037795 
--0.005600 -0.020601 -0.002107 0.070523 0.216042 0.415373 
-0.591891 0.684628 0.728949 0.780019 
-0.857563 0.882149 0.885629 0.864600 0.764225 0.541086 
-0.289381 0.144826 0.069007 -0.015771 -0.048934 0.004161 
-0.046520 0.023091 -0.010917 0.008109 0.037706 0.020813 
--0.020883 -0.035235 -0.026480 0.005277 0.105628 0.317114 
-0.558526 0.705344 0.764451 0.809740 
-0.858140 0.882546 0.884170 0.871286 0.806795 0.640514 
-0.416998 0.252773 0.144374 0.030538 -0.024505 0.004752 
-0.026456 0.013839 0.004074 0.007608 0.007440 -0.003170 
--0.016210 -0.023860 -0.032428 -0.020924 0.067397 0.287064 
-0.558091 0.730087 0.789163 0.817656 
-0.823794 0.864915 0.869909 0.860298 0.819354 0.697287 
-0.521239 0.361571 0.213395 0.072411 0.005338 0.009622 
-0.005038 0.001199 0.025900 0.027709 -0.011933 -0.027330 
--0.007495 0.007567 0.011047 0.049830 0.169879 0.372772 
-0.591227 0.724294 0.756435 0.770771 
-0.788010 0.841493 0.848928 0.836078 0.806974 0.721401 
-0.582288 0.414592 0.227983 0.075788 0.006434 -0.003432 
--0.013011 -0.007583 0.033615 0.041948 -0.019510 -0.052552 
--0.024641 0.010191 0.056053 0.168104 0.349680 0.529040 
-0.657340 0.711916 0.708487 0.720399 
-0.801223 0.821635 0.813499 0.792175 0.770433 0.722479 
-0.610793 0.423650 0.204400 0.044406 -0.026482 -0.031612 
--0.019904 -0.013207 0.008815 0.020480 -0.016146 -0.045273 
--0.035603 -0.009810 0.063959 0.230086 0.442759 0.611363 
-0.702526 0.723535 0.726204 0.754414 
-0.836782 0.821774 0.788781 0.748204 0.735214 0.741074 
-0.662563 0.440166 0.181314 0.007754 -0.074541 -0.081281 
--0.044869 -0.008427 0.009982 0.017728 0.024175 0.019693 
-0.000549 0.004101 0.035604 0.139879 0.337766 0.535052 
-0.668592 0.728517 0.769019 0.815950 
-0.831985 0.806968 0.765180 0.730003 0.732559 0.740813 
-0.636447 0.383543 0.140846 0.005934 -0.063772 -0.068293 
--0.026782 0.011998 0.016677 -0.000550 0.000256 0.011843 
-0.023121 0.047084 0.057429 0.099319 0.231291 0.422431 
-0.608611 0.720216 0.780548 0.821289 
-0.820576 0.799298 0.771430 0.759097 0.765044 0.736198 
-0.583090 0.324807 0.135033 0.050322 -0.007043 -0.033535 
--0.016435 0.020244 0.025796 0.000803 -0.027810 -0.036695 
--0.000495 0.031394 0.007972 0.013273 0.122934 0.325895 
-0.538242 0.682021 0.769811 0.813877 
-0.802044 0.771422 0.753075 0.767151 0.776806 0.722692 
-0.548291 0.301822 0.146634 0.091668 0.042612 -0.000934 
--0.004875 0.020841 0.022268 -0.002514 -0.042691 -0.056560 
-0.000747 0.029959 -0.015162 0.002711 0.162873 0.398923 
-0.583914 0.696891 0.772009 0.806649 
-0.774149 0.720361 0.689696 0.720111 0.749475 0.706510 
-0.533924 0.278175 0.104463 0.046447 0.020705 0.002284 
-0.002727 0.009353 0.003290 -0.015416 -0.041835 -0.032840 
-0.037355 0.063531 0.024889 0.073173 0.266210 0.489126 
-0.634311 0.720355 0.772640 0.791718 
-0.753538 0.700084 0.670067 0.691887 0.699485 0.638147 
-0.468028 0.227920 0.050227 -0.018975 -0.030968 -0.030782 
--0.021857 -0.016281 -0.009162 -0.008571 -0.029439 -0.032953 
-0.001664 0.013855 0.012378 0.092293 0.260961 0.442076 
-0.588912 0.698197 0.753321 0.770386 
-0.747038 0.732985 0.731549 0.727576 0.654969 0.505568 
-0.328405 0.147806 0.013233 -0.046479 -0.060896 -0.063534 
--0.052381 -0.033318 -0.001182 0.023073 0.000086 -0.035292 
--0.048097 -0.049993 -0.021608 0.070386 0.208098 0.372338 
-0.539861 0.662162 0.718880 0.744183 
-0.769216 0.788780 0.803928 0.784277 0.658457 0.419472 
-0.197851 0.066264 -0.006536 -0.052216 -0.063627 -0.048897 
--0.041316 -0.032857 0.008177 0.048502 0.040579 0.005827 
--0.026857 -0.037335 -0.010871 0.062580 0.172974 0.330956 
-0.510137 0.631414 0.694386 0.739245 
-0.811331 0.838274 0.847103 0.825641 0.706367 0.450235 
-0.187398 0.051577 -0.000008 -0.044052 -0.052118 -0.015916 
--0.004005 -0.018998 -0.006699 0.032444 0.057438 0.044506 
-0.004982 -0.007469 0.005470 0.039032 0.114599 0.265084 
-0.463372 0.613215 0.698587 0.762342 
-0.839172 0.861780 0.858824 0.839960 0.755256 0.540909 
-0.271197 0.106922 0.042317 -0.016202 -0.042767 -0.005769 
-0.023700 0.006945 -0.015363 -0.000089 0.036064 0.037344 
-0.005978 -0.005126 -0.005833 -0.000878 0.052535 0.211335 
-0.445941 0.635473 0.733885 0.790947 
-0.838371 0.860187 0.850534 0.839505 0.794306 0.635870 
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-0.023619 0.026320 0.007164 -0.010242 -0.003722 0.008590 
-0.008484 -0.005147 -0.024028 -0.019519 0.039471 0.207871 
-0.460767 0.666148 0.759071 0.795804 
-0.819023 0.844177 0.834141 0.831679 0.815094 0.707392 
-0.518293 0.338140 0.202187 0.079384 0.001508 -0.012149 
--0.002731 0.013184 0.021266 -0.000652 -0.024800 -0.019615 
--0.005689 -0.013220 -0.023790 0.007224 0.105700 0.286113 
-0.504086 0.669715 0.741153 0.772233 
-0.805309 0.834585 0.829571 0.823222 0.813702 0.749336 
-0.613128 0.422404 0.231441 0.083152 -0.004551 -0.035099 
--0.036030 -0.006932 0.029317 0.026923 -0.008911 -0.033652 
--0.043859 -0.043034 -0.013584 0.077021 0.246224 0.441637 
-0.588009 0.669155 0.711852 0.752366 
-0.820604 0.833429 0.820956 0.796234 0.780427 0.753636 
-0.656877 0.453628 0.214628 0.040480 -0.047228 -0.068044 
--0.053366 -0.018365 0.021054 0.038400 0.020248 -0.011942 
--0.042221 -0.045599 -0.001630 0.129304 0.346326 0.546524 
-0.656600 0.695649 0.729611 0.779418 
-0.837024 0.821946 0.792352 0.765134 0.757884 0.742680 
-0.654922 0.459809 0.211679 0.016264 -0.069969 -0.074604 
--0.048837 -0.021107 -0.006564 0.003330 0.019473 0.024279 
-0.011458 0.014410 0.024978 0.107242 0.324418 0.560258 
-0.705556 0.763592 0.791868 0.823282 
-0.824575 0.811236 0.786890 0.765731 0.762136 0.742763 
-0.637876 0.431765 0.198291 0.026144 -0.050342 -0.057521 
--0.033912 -0.002886 -0.005856 -0.034372 -0.037644 -0.012147 
-0.028439 0.068010 0.068142 0.094647 0.245518 0.469956 
-0.646100 0.735127 0.782805 0.815293 
-0.805919 0.800149 0.788173 0.781313 0.777217 0.728863 
-0.574287 0.341833 0.151855 0.050638 0.000462 -0.027688 
--0.026726 0.004882 0.000720 -0.041059 -0.071293 -0.056694 
-0.000466 0.036445 0.015821 0.023136 0.152526 0.387780 
-0.585327 0.694458 0.764055 0.798415 
-0.800952 0.773758 0.748293 0.756271 0.764380 0.701659 
-0.514038 0.270653 0.122741 0.068086 0.031025 -0.002241 
--0.008311 0.013862 0.011184 -0.025199 -0.069781 -0.073813 
--0.022339 -0.001217 -0.028471 -0.002699 0.155294 0.412664 
-0.605088 0.707085 0.775695 0.804526 
-0.800316 0.723389 0.649685 0.667522 0.716289 0.681355 
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-0.005970 0.000184 -0.012549 -0.031960 -0.061554 -0.061560 
--0.010511 0.012213 -0.007254 0.036492 0.205647 0.444161 
-0.623665 0.727551 0.791977 0.817873 
-0.788053 0.698659 0.612766 0.622081 0.667554 0.640019 
-0.460570 0.206634 0.033463 -0.045665 -0.058106 -0.033972 
--0.020609 -0.039583 -0.050683 -0.044278 -0.047786 -0.048727 
--0.022147 -0.006342 -0.002812 0.049547 0.174079 0.369952 
-0.573038 0.713731 0.783378 0.808374 
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--0.058416 -0.061825 -0.046401 -0.017747 -0.010521 -0.018194 
--0.022957 -0.026665 -0.011985 0.033090 0.106868 0.272010 
-0.509999 0.683830 0.758862 0.786026 
-0.800710 0.799677 0.798300 0.781445 0.694103 0.501513 
-0.263096 0.084108 -0.003669 -0.039895 -0.045880 -0.042597 
--0.059903 -0.060843 -0.014936 0.032109 0.042292 0.039039 
-0.022765 0.004461 0.005969 0.022250 0.061899 0.201052 
-0.441406 0.633464 0.736174 0.786359 
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-0.263829 0.083755 -0.002448 -0.036656 -0.029145 -0.010672 
--0.025347 -0.037986 -0.002254 0.042050 0.066392 0.074741 
-0.058536 0.050657 0.042386 0.022460 0.036863 0.152267 
-0.377105 0.592446 0.731787 0.804186 
-0.838238 0.855478 0.851089 0.837743 0.779470 0.601652 
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-0.059136 0.067082 0.061514 0.034927 0.049738 0.163412 
-0.382095 0.606618 0.745262 0.805278 
-0.814311 0.837907 0.833066 0.830019 0.804356 0.666298 
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--0.000277 0.000738 -0.015991 -0.023115 0.008790 0.038623 
-0.043195 0.041757 0.030406 0.028832 0.076390 0.215178 
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-0.799448 0.816301 0.809498 0.819358 0.818732 0.718407 
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--0.017474 -0.014050 -0.020187 -0.024822 -0.003228 0.014403 
-0.003639 -0.021174 -0.035459 -0.000641 0.115633 0.312541 
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--0.045129 -0.033093 -0.015357 0.002723 0.025409 0.017189 
--0.033239 -0.073639 -0.070199 0.015679 0.217590 0.461403 
-0.625616 0.706634 0.749082 0.779150 
-0.827438 0.823336 0.802720 0.791460 0.789946 0.758174 
-0.646320 0.429757 0.183420 0.017663 -0.052282 -0.068115 
--0.060489 -0.038545 -0.010732 0.020595 0.045979 0.033504 
--0.021721 -0.057482 -0.045690 0.070238 0.318029 0.565392 
-0.700322 0.745732 0.770910 0.803872 
-0.834970 0.808358 0.775366 0.756566 0.735549 0.668849 
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--0.026421 -0.025383 -0.024479 -0.022636 -0.016491 -0.011415 
--0.008021 0.001054 0.007695 0.091784 0.320552 0.576629 
-0.735470 0.805029 0.832609 0.842133 
-0.816971 0.797547 0.773584 0.759066 0.740424 0.669679 
-0.532413 0.349687 0.154627 0.012315 -0.031911 -0.032566 
--0.022077 0.003320 -0.007139 -0.049125 -0.074169 -0.057893 
--0.006086 0.039135 0.051737 0.115922 0.305978 0.542707 
-0.701174 0.777168 0.813398 0.824740 
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--0.030477 0.007764 -0.003407 -0.061415 -0.098352 -0.077328 
--0.020632 0.011416 0.013939 0.071056 0.253414 0.508654 
-0.679831 0.755982 0.794550 0.801797 
-0.788431 0.754114 0.733781 0.753726 0.756536 0.659152 
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--0.008266 0.013452 0.003425 -0.042898 -0.081398 -0.077267 
--0.048881 -0.040242 -0.036327 0.024620 0.208944 0.485676 
-0.675840 0.761138 0.803648 0.807519 
-0.808531 0.724342 0.652001 0.676076 0.714287 0.643029 
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--0.050851 -0.045500 -0.038271 0.020792 0.184565 0.437802 
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-0.819704 0.726293 0.635966 0.640547 0.678933 0.635829 
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--0.003142 -0.028384 -0.047331 -0.029875 -0.022617 -0.030643 
--0.025001 -0.021531 -0.019709 0.020928 0.132055 0.352075 
-0.599149 0.754530 0.825837 0.846346 
-0.825544 0.780634 0.735709 0.717518 0.699964 0.625268 
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--0.027554 -0.048613 -0.055069 -0.020440 0.010197 0.022584 
-0.027029 0.017357 0.001092 0.012695 0.075477 0.276204 
-0.564411 0.743681 0.813503 0.836490 
-0.844907 0.834081 0.820483 0.799018 0.739304 0.601865 
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+  0.0407   0.0150   0.0090   0.0435   0.0387  -0.0045 
+ -0.0159   0.0138   0.0807   0.1869   0.3022   0.4236 
+  0.5617   0.6971   0.7988   0.8512 
+  0.8468   0.8302   0.8309   0.8301   0.7885   0.6862 
+  0.5108   0.3117   0.1873   0.1636   0.1607   0.1126 
+  0.0535   0.0317   0.0593   0.0900   0.0585   0.0106 
+  0.0011   0.0220   0.0654   0.1423   0.2495   0.4041 
+  0.5888   0.7334   0.8159   0.8511 
+  0.8233   0.8018   0.8073   0.8103   0.7699   0.6760 
+  0.5163   0.3253   0.2092   0.2109   0.2167   0.1441 
+  0.0577   0.0370   0.0721   0.0885   0.0361  -0.0030 
+  0.0084   0.0281   0.0565   0.1289   0.2600   0.4473 
+  0.6452   0.7753   0.8338   0.8475 
+  0.8038   0.7688   0.7711   0.7776   0.7449   0.6525 
+  0.4927   0.3012   0.1663   0.1526   0.1657   0.1236 
+  0.0621   0.0350   0.0569   0.0745   0.0302  -0.0052 
+  0.0096   0.0180   0.0237   0.1091   0.2906   0.5018 
+  0.6827   0.7956   0.8477   0.8479 
+  0.8204   0.7794   0.7730   0.7740   0.7359   0.6283 
+  0.4530   0.2525   0.0909   0.0515   0.0762   0.0799 
+  0.0576   0.0352   0.0457   0.0645   0.0375   0.0094 
+  0.0198   0.0149  -0.0007   0.0919   0.3131   0.5429 
+  0.7031   0.8023   0.8571   0.8619 
+  0.8625   0.8399   0.8298   0.8119   0.7448   0.6016 
+  0.4103   0.2272   0.0741   0.0044   0.0111   0.0304 
+  0.0366   0.0358   0.0436   0.0481   0.0357   0.0223 
+  0.0193   0.0035  -0.0132   0.0668   0.2804   0.5260 
+  0.6985   0.7975   0.8542   0.8752 
+  0.8849   0.8815   0.8737   0.8450   0.7580   0.5895 
+  0.3915   0.2332   0.1121   0.0293  -0.0078  -0.0169 
+ -0.0136  -0.0021   0.0188   0.0384   0.0493   0.0346 
+  0.0040  -0.0167  -0.0173   0.0398   0.1977   0.4448 
+  0.6695   0.7914   0.8469   0.8757 
+  0.8763   0.8827   0.8805   0.8587   0.7836   0.6299 
+  0.4331   0.2516   0.1244   0.0455  -0.0098  -0.0463 
+ -0.0580  -0.0344   0.0157   0.0530   0.0611   0.0319 
+ -0.0099  -0.0197  -0.0009   0.0415   0.1552   0.3977 
+  0.6557   0.7907   0.8378   0.8612 
+  0.8623   0.8792   0.8828   0.8687   0.8119   0.6801 
+  0.4777   0.2657   0.1212   0.0368  -0.0161  -0.0453 
+ -0.0558  -0.0245   0.0450   0.0802   0.0677   0.0313 
+ -0.0027  -0.0081   0.0111   0.0565   0.1763   0.4148 
+  0.6607   0.7863   0.8227   0.8402 
+  0.8460   0.8819   0.8857   0.8677   0.8159   0.6867 
+  0.4706   0.2546   0.1078   0.0203  -0.0213  -0.0389 
+ -0.0469  -0.0256   0.0375   0.0699   0.0524   0.0279 
+  0.0169   0.0081   0.0162   0.0857   0.2373   0.4618 
+  0.6760   0.7789   0.7906   0.8005 
+  0.8105   0.8669   0.8712   0.8488   0.7964   0.6586 
+  0.4240   0.1990   0.0544  -0.0123  -0.0292  -0.0340 
+ -0.0444  -0.0459  -0.0093   0.0080  -0.0092  -0.0072 
+  0.0129   0.0119   0.0327   0.1527   0.3433   0.5463 
+  0.7181   0.7863   0.7589   0.7470 
+  0.8066   0.8418   0.8344   0.8102   0.7684   0.6431 
+  0.4107   0.1815   0.0379  -0.0221  -0.0375  -0.0321 
+ -0.0353  -0.0548  -0.0541  -0.0543  -0.0586  -0.0375 
+ -0.0119  -0.0008   0.0603   0.2251   0.4374   0.6257 
+  0.7581   0.8030   0.7785   0.7646 
+  0.8277   0.8039   0.7676   0.7459   0.7353   0.6760 
+  0.5139   0.3043   0.1228   0.0053  -0.0525  -0.0363 
+  0.0042  -0.0106  -0.0411  -0.0454  -0.0392  -0.0276 
+ -0.0168   0.0037   0.1020   0.3029   0.5156   0.6661 
+  0.7563   0.7899   0.8009   0.8181 
+  0.8430   0.8060   0.7648   0.7456   0.7388   0.6741 
+  0.4888   0.2551   0.0814  -0.0141  -0.0585  -0.0274 
+  0.0332   0.0246  -0.0136  -0.0157  -0.0046  -0.0063 
+ -0.0077   0.0106   0.0861   0.2463   0.4214   0.5519 
+  0.6562   0.7359   0.7978   0.8405 
+  0.8404   0.8099   0.7862   0.7781   0.7543   0.6588 
+  0.4560   0.2302   0.0998   0.0502   0.0249   0.0361 
+  0.0636   0.0467   0.0145   0.0115  -0.0003  -0.0274 
+ -0.0264  -0.0028   0.0397   0.1498   0.2938   0.4266 
+  0.5588   0.6755   0.7718   0.8332 
+  0.8257   0.8024   0.8009   0.8010   0.7552   0.6452 
+  0.4582   0.2598   0.1755   0.1845   0.1778   0.1294 
+  0.0781   0.0460   0.0252   0.0088  -0.0279  -0.0536 
+ -0.0310  -0.0004   0.0246   0.1057   0.2543   0.4340 
+  0.5944   0.7032   0.7797   0.8271 
+  0.8062   0.7870   0.7954   0.7955   0.7402   0.6343 
+  0.4727   0.2907   0.2025   0.2246   0.2351   0.1661 
+  0.0785   0.0422   0.0374   0.0240  -0.0163  -0.0307 
+  0.0007   0.0231   0.0395   0.1273   0.3094   0.5181 
+  0.6741   0.7597   0.8046   0.8229 
+  0.8023   0.7821   0.7876   0.7803   0.7185   0.6065 
+  0.4558   0.2874   0.1636   0.1427   0.1506   0.1154 
+  0.0641   0.0368   0.0446   0.0571   0.0266  -0.0007 
+  0.0116   0.0174   0.0228   0.1289   0.3461   0.5585 
+  0.6996   0.7811   0.8223   0.8278 
+  0.8169   0.7994   0.8013   0.7873   0.7113   0.5695 
+  0.4124   0.2552   0.0999   0.0338   0.0362   0.0489 
+  0.0524   0.0398   0.0468   0.0736   0.0534   0.0141 
+  0.0087   0.0044  -0.0004   0.1162   0.3572   0.5736 
+  0.6973   0.7684   0.8164   0.8328 
+  0.8443   0.8419   0.8442   0.8221   0.7209   0.5280 
+  0.3444   0.2089   0.0650  -0.0255  -0.0300   0.0180 
+  0.0623   0.0607   0.0513   0.0671   0.0646   0.0383 
+  0.0186   0.0014  -0.0044   0.1020   0.3321   0.5588 
+  0.6903   0.7531   0.7998   0.8345 
+  0.8685   0.8813   0.8835   0.8547   0.7393   0.5146 
+  0.3004   0.1780   0.0742  -0.0202  -0.0451   0.0032 
+  0.0496   0.0402   0.0241   0.0489   0.0717   0.0509 
+  0.0085  -0.0164  -0.0105   0.0676   0.2429   0.4758 
+  0.6625   0.7535   0.7987   0.8385 
+  0.8736   0.8930   0.8962   0.8722   0.7750   0.5738 
+  0.3494   0.1966   0.0933   0.0030  -0.0353  -0.0143 
+  0.0031  -0.0062  -0.0007   0.0362   0.0607   0.0335 
+ -0.0148  -0.0275  -0.0106   0.0321   0.1479   0.3867 
+  0.6366   0.7662   0.8112   0.8416 
+  0.8618   0.8888   0.8966   0.8816   0.8115   0.6504 
+  0.4342   0.2489   0.1209   0.0206  -0.0242  -0.0180 
+ -0.0214  -0.0220   0.0116   0.0431   0.0452   0.0189 
+ -0.0115  -0.0123   0.0015   0.0279   0.1327   0.3756 
+  0.6369   0.7732   0.8112   0.8292 
+  0.8246   0.8748   0.8868   0.8734   0.8189   0.6786 
+  0.4713   0.2833   0.1396   0.0335  -0.0060  -0.0051 
+ -0.0225  -0.0277   0.0182   0.0465   0.0225  -0.0011 
+  0.0012   0.0158   0.0361   0.0955   0.2381   0.4600 
+  0.6676   0.7643   0.7672   0.7692 
+  0.7756   0.8454   0.8575   0.8430   0.8002   0.6772 
+  0.4792   0.2843   0.1238   0.0217  -0.0075  -0.0044 
+ -0.0196  -0.0319   0.0045   0.0219  -0.0203  -0.0373 
+ -0.0053   0.0254   0.0769   0.2147   0.4150   0.6006 
+  0.7288   0.7639   0.7176   0.6993 
+  0.7848   0.8162   0.8082   0.7917   0.7650   0.6747 
+  0.4991   0.2970   0.1202   0.0105  -0.0288  -0.0175 
+ -0.0088  -0.0286  -0.0275  -0.0228  -0.0461  -0.0480 
+ -0.0202   0.0079   0.0963   0.2949   0.5204   0.6829 
+  0.7714   0.7832   0.7458   0.7357 
diff --git a/regtest/crystallization/rt-wcsurface/plumed.dat b/regtest/crystallization/rt-wcsurface/plumed.dat
index 452ac0e42bc3043712d1609e2ebb8a05924031fc..fec352007f15935b8f25f1c0f2aa5b5b4858e3e6 100644
--- a/regtest/crystallization/rt-wcsurface/plumed.dat
+++ b/regtest/crystallization/rt-wcsurface/plumed.dat
@@ -4,6 +4,6 @@ fcc: FCCUBIC SPECIES=1-5184 SWITCH={CUBIC D_0=1.2 D_MAX=1.5} ALPHA=27
 
 DUMPMULTICOLVAR DATA=fcc ORIGIN=1 FILE=atoms.xyz PRECISION=4
 dens: MULTICOLVARDENS DATA=fcc ORIGIN=1 DIR=xyz NBINS=14,14,28 BANDWIDTH=1.0,1.0,1.0 
-
-PRINT_CUBE GRID=dens STRIDE=1 FILE=dens.cube
-FIND_CONTOUR GRID=dens STRIDE=1 CONTOUR=0.42 FILE=surface.xyz PRECISION=4
+ 
+PRINT_CUBE GRID=dens USE_ALL_DATA FILE=dens.cube FMT=%8.4f
+FIND_CONTOUR GRID=dens USE_ALL_DATA CONTOUR=0.42 FILE=surface.xyz PRECISION=4
diff --git a/regtest/crystallization/rt-wcsurface/surface.xyz.reference b/regtest/crystallization/rt-wcsurface/surface.xyz.reference
index aca4c9316a76c132c99e36e287ecec3b92f225cb..663e0f3bc34ef67832aa23ea6b28090fa290b85f 100644
--- a/regtest/crystallization/rt-wcsurface/surface.xyz.reference
+++ b/regtest/crystallization/rt-wcsurface/surface.xyz.reference
@@ -1,556 +1,556 @@
 554
 Points found on isocontour
-X   -6.2398   -0.0000   -9.0411
-X   -3.1199   -7.2797   -8.0550
-X   -2.0799   -7.2797   -8.9619
-X   -1.0400   -7.2797   -8.9792
-X   -0.0000   -7.2797   -8.7984
-X    1.0400   -7.2797   -8.0575
-X   -3.1199   -6.2398   -8.1160
-X   -2.0799   -6.2398   -8.9793
-X   -1.0400   -6.2398   -9.0106
-X   -0.0000   -6.2398   -8.8740
-X    1.0400   -6.2398   -8.1284
-X   -3.1199   -5.1998   -8.2462
-X   -2.0799   -5.1998   -8.9636
-X   -1.0400   -5.1998   -9.0226
-X   -0.0000   -5.1998   -8.9425
-X    1.0400   -5.1998   -8.2409
-X   -3.1199   -4.1598   -8.6879
-X   -2.0799   -4.1598   -8.9655
-X   -1.0400   -4.1598   -9.0327
-X   -0.0000   -4.1598   -8.9561
-X    1.0400   -4.1598   -8.1312
-X   -4.1598   -3.1199   -8.0580
-X   -3.1199   -3.1199   -8.5162
-X   -2.0799   -3.1199   -8.8822
-X   -1.0400   -3.1199   -8.9466
-X   -0.0000   -3.1199   -8.8246
-X   -3.1199   -2.0799   -8.0792
-X   -2.0799   -2.0799   -8.1769
-X   -1.0400   -2.0799   -8.2300
-X   -0.0000   -2.0799   -8.0753
-X   -7.2797   -1.0400   -8.8154
-X   -6.2398   -0.0012   -9.0404
-X   -6.2398   -1.0400   -8.8601
-X   -5.1998   -1.0400   -8.1456
-X    6.2398   -1.0400   -8.0497
-X   -6.2411   -0.0000   -9.0404
-X   -7.2797   -0.0000   -8.9970
-X   -5.8603   -0.0000   -9.0404
-X   -6.2398    0.4865   -9.0404
-X   -5.1998   -0.0000   -8.9015
-X   -4.1598   -0.0000   -8.1213
-X    5.1998   -0.0000   -8.0521
-X    6.2398   -0.0000   -8.8036
-X   -7.2797    1.0400   -8.9864
-X   -6.2398    1.0400   -8.9972
-X   -5.1998    1.0400   -8.8580
-X   -4.1598    1.0400   -8.1329
-X    5.1998    1.0400   -8.0913
-X    6.2398    1.0400   -8.8734
-X   -7.2797    2.0799   -8.8242
-X   -6.2398    2.0799   -8.8286
-X   -5.1998    2.0799   -8.2621
-X    6.2398    2.0799   -8.2582
-X   -7.2797    3.1199   -8.0406
-X   -6.2398    3.1199   -8.0832
-X   -5.1998    3.1199   -8.0471
-X   -1.0400    3.1199   -8.1020
-X   -0.0000    3.1199   -8.0661
-X   -1.0400    4.1598   -8.1702
-X   -0.0000    4.1598   -8.2186
-X    1.0400    4.1598   -8.0683
-X   -1.0400    5.1998   -8.1425
-X   -0.0000    5.1998   -8.3329
-X    1.0400    5.1998   -8.1570
-X   -2.0799    6.2398   -8.1401
-X   -1.0400    6.2398   -8.7750
-X   -0.0000    6.2398   -8.6137
-X    1.0400    6.2398   -8.0934
-X    4.1598    6.2398   -8.0400
-X    5.1998    6.2398   -8.0498
-X   -7.2797   -7.2797   -7.0947
-X   -3.1395   -7.2797   -8.0359
-X   -4.1598   -7.2797   -7.0879
-X    1.3686   -7.2797   -8.0359
-X    2.0799   -7.2797   -7.8609
-X    3.1199   -7.2797   -7.7320
-X    4.1598   -7.2797   -7.9070
-X    5.1998   -7.2797   -7.9716
-X    6.2398   -7.2797   -7.8534
-X   -7.2797   -6.2398   -7.7430
-X   -6.2398   -6.2398   -7.0927
-X   -3.2079   -6.2398   -8.0359
-X   -4.1598   -6.2398   -7.2505
-X    1.4557   -6.2398   -8.0359
-X    2.0799   -6.2398   -7.8900
-X    3.1199   -6.2398   -7.1768
-X    4.1598   -6.2398   -7.1882
-X    5.1998   -6.2398   -7.8895
-X    6.2398   -6.2398   -7.9214
-X   -7.2797   -5.1998   -7.8837
-X   -6.2398   -5.1998   -7.4323
-X   -5.1998   -5.1998   -7.2597
-X   -4.0285   -5.1998   -8.0359
-X   -4.1598   -5.1998   -7.9364
-X    1.5082   -5.1998   -8.0359
-X    2.0799   -5.1998   -7.9138
-X    3.1199   -5.1998   -7.2048
-X    4.1598   -5.1998   -7.1121
-X    5.1998   -5.1998   -7.8708
-X    6.2398   -5.1998   -7.9803
-X   -7.2797   -4.1598   -7.8919
-X   -6.2398   -4.1598   -7.7804
-X   -5.1998   -4.1598   -7.8763
-X   -4.1516   -4.1598   -8.0359
-X   -4.1598   -4.1507   -8.0359
-X   -4.1598   -4.1598   -8.0297
-X    1.3919   -4.1598   -8.0359
-X    1.0400   -3.5927   -8.0359
-X    2.0799   -4.1598   -7.8313
-X    3.1199   -4.1598   -7.1777
-X    4.1598   -4.1598   -7.1341
-X    5.1998   -4.1598   -7.8629
-X    6.2398   -4.1598   -7.9746
-X   -7.2797   -3.1199   -7.8892
-X   -6.2398   -3.1199   -7.8307
-X   -4.1915   -3.1199   -8.0359
-X   -5.1998   -3.1199   -7.9221
-X   -4.1598   -2.5860   -8.0359
-X    0.6987   -3.1199   -8.0359
-X    1.0400   -3.1199   -8.0202
-X    2.0799   -3.1199   -7.7380
-X    3.1199   -3.1199   -7.1850
-X    4.1598   -3.1199   -7.1836
-X    5.1998   -3.1199   -7.8393
-X    6.2398   -3.1199   -7.9442
-X   -7.2797   -2.0110   -8.0359
-X   -7.2797   -2.0799   -7.9824
-X   -6.2398   -1.9786   -8.0359
-X   -6.2398   -2.0799   -7.9591
-X   -5.1998   -1.9807   -8.0359
-X   -5.1998   -2.0799   -7.9745
-X   -4.1477   -2.0799   -8.0359
-X   -4.1598   -2.0799   -8.0280
-X   -3.1199   -1.6576   -8.0359
-X   -2.0799   -1.6339   -8.0359
-X   -1.0400   -1.6411   -8.0359
-X    0.4245   -2.0799   -8.0359
-X   -0.0000   -1.7358   -8.0359
-X    1.0400   -2.0799   -7.9475
-X    2.0799   -2.0799   -7.8027
-X    3.1199   -2.0799   -7.6579
-X    4.1598   -2.0799   -7.7638
-X    5.1998   -2.0799   -7.9001
-X    6.2398   -1.0568   -8.0359
-X    6.2398   -2.0799   -7.9720
-X   -4.6024   -1.0400   -8.0359
-X   -4.1598   -1.0376   -8.0359
-X   -4.1598   -1.0400   -8.0344
-X   -3.1199   -1.0400   -7.9649
-X   -2.0799   -1.0400   -7.9304
-X   -1.0400   -1.0400   -7.9118
-X   -0.0000   -1.0400   -7.8927
-X    1.0400   -1.0400   -7.8997
-X    2.0799   -1.0400   -7.8796
-X    3.1199   -1.0400   -7.8609
-X    4.1598   -1.0400   -7.9165
-X    6.2232   -1.0400   -8.0359
-X    5.1998   -0.0228   -8.0359
-X    5.1998   -1.0400   -7.9814
-X   -3.6953   -0.0000   -8.0359
-X   -3.1199   -0.0000   -7.9668
-X   -2.0799   -0.0000   -7.8736
-X   -1.0400   -0.0000   -7.8398
-X   -0.0000   -0.0000   -7.8592
-X    1.0400   -0.0000   -7.8901
-X    2.0799   -0.0000   -7.8783
-X    3.1199   -0.0000   -7.8807
-X    5.1779   -0.0000   -8.0359
-X    4.1598   -0.0000   -7.9567
-X   -3.6428    1.0400   -8.0359
-X   -4.1598    1.6100   -8.0359
-X   -3.1199    1.0400   -8.0031
-X   -2.0799    1.0400   -7.9664
-X   -1.0400    1.0400   -7.9688
-X   -0.0000    1.0400   -7.9560
-X    1.0400    1.0400   -7.9028
-X    2.0799    1.0400   -7.7890
-X    3.1199    1.0400   -7.7630
-X    5.1284    1.0400   -8.0359
-X    4.1598    1.0400   -7.9184
-X    5.1998    1.5942   -8.0359
-X   -4.6081    2.0799   -8.0359
-X   -4.1598    2.0799   -8.0196
-X   -3.1199    2.0799   -7.9594
-X   -2.0799    2.0799   -7.9943
-X   -1.0400    2.0981   -8.0359
-X   -1.0400    2.0799   -8.0233
-X   -0.0000    3.0742   -8.0359
-X   -0.0000    2.0799   -8.0030
-X    1.0400    2.0799   -7.9169
-X    2.0799    2.0799   -7.6252
-X    3.1199    2.0799   -7.1810
-X    4.1598    2.0799   -7.7920
-X    5.2264    2.0799   -8.0359
-X    5.1998    2.0799   -8.0147
-X    6.2398    2.6518   -8.0359
-X   -7.2797    3.4213   -8.0359
-X   -6.2398    3.4853   -8.0359
-X   -4.7995    3.1199   -8.0359
-X   -5.1998    3.4983   -8.0359
-X   -4.1598    3.1199   -7.9497
-X   -3.1199    3.1199   -7.9193
-X   -2.0563    3.1199   -8.0359
-X   -2.0799    3.1199   -8.0191
-X    0.4583    3.1199   -8.0359
-X    1.0400    4.1086   -8.0359
-X    1.0400    3.1199   -7.9663
-X    2.0799    3.1199   -7.7591
-X    3.1199    3.1199   -7.1914
-X    4.1598    3.1199   -7.7248
-X    5.1998    3.1199   -7.9410
-X    7.2727    3.1199   -8.0359
-X    6.2398    3.1199   -8.0138
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-X   -6.2398    4.1598   -7.8364
-X   -5.1998    4.1598   -7.9102
-X   -4.1598    4.1598   -7.8657
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+X   -4.1598    6.2398    8.3854
+X   -3.1199    6.2398    8.3829
+X   -2.0799    6.2398    8.3830
+X   -1.0400    6.2398    8.3716
+X   -0.0000    6.2398    8.4180
+X    1.0400    6.2398    8.6532
+X    2.0799    6.2398    8.9213
+X    5.0921    6.2398    8.0359
+X    4.1598    6.2398    8.7796
+X    1.8974   -7.2797    9.0404
+X    1.0400   -6.3131    9.0404
+X    2.0799   -6.6626    9.0404
+X    2.0799   -7.2797    9.0704
+X    3.5198   -7.2797    9.0404
+X    3.1199   -6.5870    9.0404
+X    3.1199   -7.2797    9.1210
+X   -7.2797   -5.8751    9.0404
+X   -6.2398   -6.2219    9.0404
+X   -5.1998   -5.7295    9.0404
+X    0.0469   -6.2398    9.0404
+X   -0.0000   -6.2196    9.0404
+X    1.2338   -6.2398    9.0404
+X    1.0400   -6.2398    9.0521
+X   -7.2797   -5.1998    9.3834
+X   -6.2398   -5.1998    9.4603
+X   -4.9001   -5.1998    9.0404
+X   -5.1998   -5.1998    9.1772
+X   -0.5105   -5.1998    9.0404
+X   -0.0000   -5.1998    9.2041
+X    1.6063   -5.1998    9.0404
+X    1.0400   -5.1998    9.1983
+X    4.1598   -5.0999    9.0404
+X    5.1998   -5.1418    9.0404
+X    6.3859   -5.1998    9.0404
+X   -7.2797   -4.1477    9.0404
+X   -7.2797   -4.1598    9.0481
+X   -6.2398   -3.9850    9.0404
+X   -6.2398   -4.1598    9.1354
+X   -5.0464   -4.1598    9.0404
+X   -5.1998   -4.0316    9.0404
+X   -5.1998   -4.1598    9.0702
+X   -0.5028   -4.1598    9.0404
+X   -0.0000   -3.1595    9.0404
+X   -0.0000   -4.1598    9.1916
+X    1.6554   -4.1598    9.0404
+X    1.0400   -3.4116    9.0404
+X    1.0400   -4.1598    9.2140
+X    3.7717   -4.1598    9.0404
+X    4.1598   -4.1598    9.1399
+X    5.6499   -4.1598    9.0404
+X    5.1998   -3.6809    9.0404
+X    5.1998   -4.1598    9.1283
+X    7.2203   -4.1598    9.0404
+X   -5.1998   -2.6319    9.0404
+X   -4.1598   -2.8846    9.0404
+X   -3.1199   -2.6942    9.0404
+X   -2.0799   -2.4496    9.0404
+X    3.4996   -3.1199    9.0404
+X    4.7353   -3.1199    9.0404
+X    4.1598   -2.7503    9.0404
+X    4.1598   -3.1199    9.1163
+X   -5.9894   -2.0799    9.0404
+X   -6.2398   -1.8051    9.0404
+X   -5.1998   -2.0799    9.2749
+X   -4.1598   -2.0799    9.3011
+X   -3.1199   -2.0799    9.2206
+X   -1.3484   -2.0799    9.0404
+X   -2.0799   -2.0799    9.1175
+X   -6.5708   -1.0400    9.0404
+X   -6.2398   -1.0400    9.3180
+X   -5.1998   -1.0400    9.6643
+X   -4.1598   -1.0400    9.5305
+X   -3.1199   -1.0400    9.3647
+X   -1.1408   -1.0400    9.0404
+X   -2.0799   -1.0400    9.2390
+X   -6.7673   -0.0000    9.0404
+X   -7.2797    0.9936    9.0404
+X   -6.2398   -0.0000    9.5252
+X   -5.1998   -0.0000    9.9561
+X   -4.1598   -0.0000    9.7340
+X   -3.1199   -0.0000    9.3784
+X   -1.5499   -0.0000    9.0404
+X   -2.0799    0.3811    9.0404
+X   -2.0799   -0.0000    9.1507
+X   -7.2797    1.0400    9.0631
+X   -6.2398    1.0400    9.8196
+X   -4.1598    1.0400    9.8942
+X   -2.8518    1.0400    9.0404
+X   -3.1199    1.5209    9.0404
+X   -3.1199    1.0400    9.1873
+X    5.1998    1.3991    9.0404
+X    7.2379    1.0400    9.0404
+X    6.2398    1.6170    9.0404
+X   -7.2797    2.0799    9.4477
+X   -6.2398    2.0799    9.9333
+X   -3.3254    2.0799    9.0404
+X   -4.1598    2.0799    9.7890
+X    4.4202    2.0799    9.0404
+X    5.1998    2.0799    9.1192
+X    6.2398    2.0799    9.1614
+X   -7.2797    3.1199    9.5173
+X   -6.2398    3.1199    9.8839
+X   -5.1998    3.1199    9.9797
+X   -3.7041    3.1199    9.0404
+X   -4.1598    3.9247    9.0404
+X   -4.1598    3.1199    9.4326
+X    4.9744    3.1199    9.0404
+X    5.1998    3.2785    9.0404
+X    5.1998    3.1199    9.0593
+X    6.2398    3.7966    9.0404
+X    6.2398    3.1199    9.1961
+X   -7.2797    4.4799    9.0404
+X   -7.2797    4.1598    9.2470
+X   -6.2398    5.0567    9.0404
+X   -6.2398    4.1598    9.6515
+X   -4.3283    4.1598    9.0404
+X   -5.1998    4.9137    9.0404
+X   -5.1998    4.1598    9.5466
+X    6.8163    4.1598    9.0404
+X    3.1199    6.0925    9.0404
+X    2.7440    6.2398    9.0404
+X    2.0799    6.8932    9.0404
+X    3.4282    6.2398    9.0404
+X    3.1199    6.2398    9.0635
+X   -5.1998    0.2909   10.0449
+X   -5.8693    1.0400   10.0449
+X   -4.4330    1.0400   10.0449
+X   -5.1998    1.0400   10.2251
+X   -5.9728    2.0799   10.0449
+X   -4.5634    2.0799   10.0449
+X   -5.1998    2.8701   10.0449
+X   -5.1998    2.0799   10.2017
diff --git a/regtest/multicolvar/rt-dens-average/Makefile b/regtest/multicolvar/rt-dens-average/Makefile
new file mode 100644
index 0000000000000000000000000000000000000000..3703b27cea227aa053fb6d1d73f861e4384dbcee
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/Makefile
@@ -0,0 +1 @@
+include ../../scripts/test.make
diff --git a/regtest/multicolvar/rt-dens-average/analysis.0.dens1b.reference b/regtest/multicolvar/rt-dens-average/analysis.0.dens1b.reference
new file mode 100644
index 0000000000000000000000000000000000000000..07462cba675d3673f66e4a669ef9c2a86869c48f
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/analysis.0.dens1b.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x density ddensity_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0000   0.0000   0.0000   0.0000
+  -2.4000   0.0000   0.0000   0.0000   0.0000
+  -2.3000   0.0000   0.0000   0.0000   0.0000
+  -2.2000   0.0000   0.0000   0.0000   0.0000
+  -2.1000   0.0000   0.0000   0.0000   0.0000
+  -2.0000   0.0000   0.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000   0.0000   0.0000
+  -1.8000   0.0000   0.0000   0.0000   0.0000
+  -1.7000   0.0000   0.0000   0.0000   0.0000
+  -1.6000   0.0000   0.0000   0.0000   0.0000
+  -1.5000   0.0000   0.0000   0.0000   0.0000
+  -1.4000   0.0000   0.0000   0.0000   0.0000
+  -1.3000   0.0000   0.0000   0.0000   0.0000
+  -1.2000   0.0000   0.0000   0.0000   0.0000
+  -1.1000   0.0000   0.0000   0.0000   0.0000
+  -1.0000   0.0000   0.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000   0.0000   0.0000
+  -0.8000   0.0000   0.0000   0.0000   0.0000
+  -0.7000   0.0000   0.0000   0.0000   0.0000
+  -0.6000   0.0000   0.0000   0.0000   0.0000
+  -0.5000   0.0000   0.0000   0.0000   0.0000
+  -0.4000   0.0000   0.0000   0.0000   0.0000
+  -0.3000   0.0000   0.0000   0.0000   0.0000
+  -0.2000   0.0000   0.0000   0.0000   0.0000
+  -0.1000   0.0000   0.0000   0.0000   0.0000
+   0.0000   0.0000   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000   0.0000   0.0000
+   0.2000   0.0013   0.0268   0.0007   0.0134
+   0.3000   0.0087   0.1527   0.0044   0.0764
+   0.4000   0.0443   0.6648   0.0222   0.3324
+   0.5000   0.1753   2.1910   0.0876   1.0955
+   0.6000   0.5399   5.3991   0.2700   2.6995
+   0.7000   1.2952   9.7138   0.6476   4.8569
+   0.8000   2.4197  12.0985   1.2099   6.0493
+   0.9000   3.5207   8.8016   1.7603   4.4008
+   1.0000   3.9894   0.0000   1.9947   0.0000
+   1.1000   3.5207  -8.8016   1.7603  -4.4008
+   1.2000   2.4197 -12.0985   1.2099  -6.0493
+   1.3000   1.2952  -9.7138   0.6476  -4.8569
+   1.4000   0.5399  -5.3991   0.2700  -2.6995
+   1.5000   0.1753  -2.1910   0.0876  -1.0955
+   1.6000   0.0443  -0.6648   0.0222  -0.3324
+   1.7000   0.0087  -0.1527   0.0044  -0.0764
+   1.8000   0.0013  -0.0268   0.0007  -0.0134
+   1.9000   0.0000   0.0000   0.0000   0.0000
+   2.0000   0.0000   0.0000   0.0000   0.0000
+   2.1000   0.0000   0.0000   0.0000   0.0000
+   2.2000   0.0000   0.0000   0.0000   0.0000
+   2.3000   0.0000   0.0000   0.0000   0.0000
+   2.4000   0.0000   0.0000   0.0000   0.0000
diff --git a/regtest/multicolvar/rt-dens-average/config b/regtest/multicolvar/rt-dens-average/config
new file mode 100644
index 0000000000000000000000000000000000000000..f93ec1a97465724691bf162d4735f5ea3648bbb4
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/config
@@ -0,0 +1,3 @@
+type=driver
+# this is to test a different name
+arg="--plumed plumed.dat --ixyz trajectory.xyz"
diff --git a/regtest/multicolvar/rt-dens-average/dens1.reference b/regtest/multicolvar/rt-dens-average/dens1.reference
new file mode 100644
index 0000000000000000000000000000000000000000..26fa093cb9ce5bc44b042102df75f24539263e8a
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/dens1.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x density ddensity_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0876  -1.0955   0.0876  -1.0955
+  -2.4000   0.0222  -0.3324   0.0222  -0.3324
+  -2.3000   0.0044  -0.0764   0.0044  -0.0764
+  -2.2000   0.0007  -0.0134   0.0007  -0.0134
+  -2.1000   0.0000   0.0000   0.0000   0.0000
+  -2.0000   0.0000   0.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000   0.0000   0.0000
+  -1.8000   0.0000   0.0000   0.0000   0.0000
+  -1.7000   0.0000   0.0000   0.0000   0.0000
+  -1.6000   0.0000   0.0000   0.0000   0.0000
+  -1.5000   0.0000   0.0000   0.0000   0.0000
+  -1.4000   0.0000   0.0000   0.0000   0.0000
+  -1.3000   0.0000   0.0000   0.0000   0.0000
+  -1.2000   0.0000   0.0000   0.0000   0.0000
+  -1.1000   0.0000   0.0000   0.0000   0.0000
+  -1.0000   0.0000   0.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000   0.0000   0.0000
+  -0.8000   0.0000   0.0000   0.0000   0.0000
+  -0.7000   0.0000   0.0000   0.0000   0.0000
+  -0.6000   0.0000   0.0000   0.0000   0.0000
+  -0.5000   0.0000   0.0000   0.0000   0.0000
+  -0.4000   0.0000   0.0000   0.0000   0.0000
+  -0.3000   0.0000   0.0000   0.0000   0.0000
+  -0.2000   0.0000   0.0000   0.0000   0.0000
+  -0.1000   0.0000   0.0000   0.0000   0.0000
+   0.0000   0.0000   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000   0.0000   0.0000
+   0.2000   0.0013   0.0268   0.0007   0.0134
+   0.3000   0.0087   0.1527   0.0044   0.0764
+   0.4000   0.0443   0.6648   0.0222   0.3324
+   0.5000   0.1753   2.1910   0.0876   1.0955
+   0.6000   0.5399   5.3991   0.2700   2.6995
+   0.7000   1.2952   9.7138   0.6476   4.8569
+   0.8000   2.4197  12.0985   1.2099   6.0493
+   0.9000   3.5207   8.8016   1.7603   4.4008
+   1.0000   3.9894   0.0000   1.9947   0.0000
+   1.1000   3.5207  -8.8016   1.7603  -4.4008
+   1.2000   2.4204 -12.0851   1.2106  -6.0359
+   1.3000   1.2996  -9.6374   0.6520  -4.7805
+   1.4000   0.5621  -5.0667   0.2922  -2.3671
+   1.5000   0.2629  -1.0955   0.1752   0.0000
+   1.6000   0.3143   2.0347   0.2922   2.3671
+   1.7000   0.6563   4.7042   0.6520   4.7805
+   1.8000   1.2112   6.0225   1.2106   6.0359
+   1.9000   1.7603   4.4008   1.7603   4.4008
+   2.0000   1.9947   0.0000   1.9947   0.0000
+   2.1000   1.7603  -4.4008   1.7603  -4.4008
+   2.2000   1.2099  -6.0493   1.2099  -6.0493
+   2.3000   0.6476  -4.8569   0.6476  -4.8569
+   2.4000   0.2700  -2.6995   0.2700  -2.6995
diff --git a/regtest/multicolvar/rt-dens-average/dens1b.reference b/regtest/multicolvar/rt-dens-average/dens1b.reference
new file mode 100644
index 0000000000000000000000000000000000000000..55e72a4b2cff177586a89059b86860812e76922e
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/dens1b.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x density ddensity_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0876  -1.0955   0.0876  -1.0955
+  -2.4000   0.0222  -0.3324   0.0222  -0.3324
+  -2.3000   0.0044  -0.0764   0.0044  -0.0764
+  -2.2000   0.0007  -0.0134   0.0007  -0.0134
+  -2.1000   0.0000   0.0000   0.0000   0.0000
+  -2.0000   0.0000   0.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000   0.0000   0.0000
+  -1.8000   0.0000   0.0000   0.0000   0.0000
+  -1.7000   0.0000   0.0000   0.0000   0.0000
+  -1.6000   0.0000   0.0000   0.0000   0.0000
+  -1.5000   0.0000   0.0000   0.0000   0.0000
+  -1.4000   0.0000   0.0000   0.0000   0.0000
+  -1.3000   0.0000   0.0000   0.0000   0.0000
+  -1.2000   0.0000   0.0000   0.0000   0.0000
+  -1.1000   0.0000   0.0000   0.0000   0.0000
+  -1.0000   0.0000   0.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000   0.0000   0.0000
+  -0.8000   0.0000   0.0000   0.0000   0.0000
+  -0.7000   0.0000   0.0000   0.0000   0.0000
+  -0.6000   0.0000   0.0000   0.0000   0.0000
+  -0.5000   0.0000   0.0000   0.0000   0.0000
+  -0.4000   0.0000   0.0000   0.0000   0.0000
+  -0.3000   0.0000   0.0000   0.0000   0.0000
+  -0.2000   0.0000   0.0000   0.0000   0.0000
+  -0.1000   0.0000   0.0000   0.0000   0.0000
+   0.0000   0.0000   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000   0.0000   0.0000
+   0.2000   0.0000   0.0000   0.0000   0.0000
+   0.3000   0.0000   0.0000   0.0000   0.0000
+   0.4000   0.0000   0.0000   0.0000   0.0000
+   0.5000   0.0000   0.0000   0.0000   0.0000
+   0.6000   0.0000   0.0000   0.0000   0.0000
+   0.7000   0.0000   0.0000   0.0000   0.0000
+   0.8000   0.0000   0.0000   0.0000   0.0000
+   0.9000   0.0000   0.0000   0.0000   0.0000
+   1.0000   0.0000   0.0000   0.0000   0.0000
+   1.1000   0.0000   0.0000   0.0000   0.0000
+   1.2000   0.0007   0.0134   0.0007   0.0134
+   1.3000   0.0044   0.0764   0.0044   0.0764
+   1.4000   0.0222   0.3324   0.0222   0.3324
+   1.5000   0.0876   1.0955   0.0876   1.0955
+   1.6000   0.2700   2.6995   0.2700   2.6995
+   1.7000   0.6476   4.8569   0.6476   4.8569
+   1.8000   1.2099   6.0493   1.2099   6.0493
+   1.9000   1.7603   4.4008   1.7603   4.4008
+   2.0000   1.9947   0.0000   1.9947   0.0000
+   2.1000   1.7603  -4.4008   1.7603  -4.4008
+   2.2000   1.2099  -6.0493   1.2099  -6.0493
+   2.3000   0.6476  -4.8569   0.6476  -4.8569
+   2.4000   0.2700  -2.6995   0.2700  -2.6995
diff --git a/regtest/multicolvar/rt-dens-average/dens1ba.reference b/regtest/multicolvar/rt-dens-average/dens1ba.reference
new file mode 100644
index 0000000000000000000000000000000000000000..77214d75c8ea87055c505c0ad45fa56c8673e6ee
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/dens1ba.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   1.0000   0.0000
+  -2.4000   1.0000   0.0000
+  -2.3000   1.0000   0.0000
+  -2.2000   1.0000   0.0000
+  -2.1000   0.0000   0.0000
+  -2.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000
+  -1.8000   0.0000   0.0000
+  -1.7000   0.0000   0.0000
+  -1.6000   0.0000   0.0000
+  -1.5000   0.0000   0.0000
+  -1.4000   0.0000   0.0000
+  -1.3000   0.0000   0.0000
+  -1.2000   0.0000   0.0000
+  -1.1000   0.0000   0.0000
+  -1.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000
+  -0.8000   0.0000   0.0000
+  -0.7000   0.0000   0.0000
+  -0.6000   0.0000   0.0000
+  -0.5000   0.0000   0.0000
+  -0.4000   0.0000   0.0000
+  -0.3000   0.0000   0.0000
+  -0.2000   0.0000   0.0000
+  -0.1000   0.0000   0.0000
+   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000
+   0.2000   0.0000   0.0000
+   0.3000   0.0000   0.0000
+   0.4000   0.0000   0.0000
+   0.5000   0.0000   0.0000
+   0.6000   0.0000   0.0000
+   0.7000   0.0000   0.0000
+   0.8000   0.0000   0.0000
+   0.9000   0.0000   0.0000
+   1.0000   0.0000   0.0000
+   1.1000   0.0000   0.0000
+   1.2000   1.0000   0.0000
+   1.3000   1.0000   0.0000
+   1.4000   1.0000   0.0000
+   1.5000   1.0000  -0.0000
+   1.6000   1.0000   0.0000
+   1.7000   1.0000   0.0000
+   1.8000   1.0000   0.0000
+   1.9000   1.0000   0.0000
+   2.0000   1.0000   0.0000
+   2.1000   1.0000   0.0000
+   2.2000   1.0000  -0.0000
+   2.3000   1.0000   0.0000
+   2.4000   1.0000  -0.0000
diff --git a/regtest/multicolvar/rt-dens-average/dens2.reference b/regtest/multicolvar/rt-dens-average/dens2.reference
new file mode 100644
index 0000000000000000000000000000000000000000..c911e40c96fb4abff1fbe101d9fa75b2c09b8bd7
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/dens2.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x density ddensity_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0876  -1.0955   0.0876  -1.0955
+  -2.4000   0.0222  -0.3324   0.0222  -0.3324
+  -2.3000   0.0044  -0.0764   0.0044  -0.0764
+  -2.2000   0.0007  -0.0134   0.0007  -0.0134
+  -2.1000   0.0000   0.0000   0.0000   0.0000
+  -2.0000   0.0000   0.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000   0.0000   0.0000
+  -1.8000   0.0000   0.0000   0.0000   0.0000
+  -1.7000   0.0000   0.0000   0.0000   0.0000
+  -1.6000   0.0000   0.0000   0.0000   0.0000
+  -1.5000   0.0000   0.0000   0.0000   0.0000
+  -1.4000   0.0000   0.0000   0.0000   0.0000
+  -1.3000   0.0000   0.0000   0.0000   0.0000
+  -1.2000   0.0000   0.0000   0.0000   0.0000
+  -1.1000   0.0000   0.0000   0.0000   0.0000
+  -1.0000   0.0000   0.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000   0.0000   0.0000
+  -0.8000   0.0000   0.0000   0.0000   0.0000
+  -0.7000   0.0000   0.0000   0.0000   0.0000
+  -0.6000   0.0000   0.0000   0.0000   0.0000
+  -0.5000   0.0000   0.0000   0.0000   0.0000
+  -0.4000   0.0000   0.0000   0.0000   0.0000
+  -0.3000   0.0000   0.0000   0.0000   0.0000
+  -0.2000   0.0000   0.0000   0.0000   0.0000
+  -0.1000   0.0000   0.0000   0.0000   0.0000
+   0.0000   0.0000   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000   0.0000   0.0000
+   0.2000   0.0013   0.0268   0.0007   0.0134
+   0.3000   0.0087   0.1527   0.0044   0.0764
+   0.4000   0.0443   0.6648   0.0222   0.3324
+   0.5000   0.1753   2.1910   0.0876   1.0955
+   0.6000   0.5399   5.3991   0.2700   2.6995
+   0.7000   1.2952   9.7138   0.6476   4.8569
+   0.8000   2.4197  12.0985   1.2099   6.0493
+   0.9000   3.5207   8.8016   1.7603   4.4008
+   1.0000   3.9894   0.0000   1.9947   0.0000
+   1.1000   3.5207  -8.8016   1.7603  -4.4008
+   1.2000   2.4204 -12.0852   1.2105  -6.0359
+   1.3000   1.2995  -9.6375   0.6520  -4.7806
+   1.4000   0.5621  -5.0667   0.2921  -2.3672
+   1.5000   0.2629  -1.0955   0.1753  -0.0000
+   1.6000   0.3143   2.0348   0.2921   2.3672
+   1.7000   0.6563   4.7042   0.6520   4.7806
+   1.8000   1.2112   6.0225   1.2105   6.0359
+   1.9000   1.7603   4.4008   1.7603   4.4008
+   2.0000   1.9947   0.0000   1.9947   0.0000
+   2.1000   1.7603  -4.4008   1.7603  -4.4008
+   2.2000   1.2099  -6.0493   1.2099  -6.0493
+   2.3000   0.6476  -4.8569   0.6476  -4.8569
+   2.4000   0.2700  -2.6995   0.2700  -2.6995
diff --git a/regtest/multicolvar/rt-dens-average/dens5.reference b/regtest/multicolvar/rt-dens-average/dens5.reference
new file mode 100644
index 0000000000000000000000000000000000000000..cbbb757d079c79ec25b383385726b0035486d365
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/dens5.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x density ddensity_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0876  -1.0955   0.0876  -1.0955
+  -2.4000   0.0222  -0.3324   0.0222  -0.3324
+  -2.3000   0.0044  -0.0764   0.0044  -0.0764
+  -2.2000   0.0007  -0.0134   0.0007  -0.0134
+  -2.1000   0.0000   0.0000   0.0000   0.0000
+  -2.0000   0.0000   0.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000   0.0000   0.0000
+  -1.8000   0.0000   0.0000   0.0000   0.0000
+  -1.7000   0.0000   0.0000   0.0000   0.0000
+  -1.6000   0.0000   0.0000   0.0000   0.0000
+  -1.5000   0.0000   0.0000   0.0000   0.0000
+  -1.4000   0.0000   0.0000   0.0000   0.0000
+  -1.3000   0.0000   0.0000   0.0000   0.0000
+  -1.2000   0.0000   0.0000   0.0000   0.0000
+  -1.1000   0.0000   0.0000   0.0000   0.0000
+  -1.0000   0.0000   0.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000   0.0000   0.0000
+  -0.8000   0.0020   0.0401   0.0007   0.0134
+  -0.7000   0.0131   0.2291   0.0044   0.0764
+  -0.6000   0.0665   0.9972   0.0222   0.3324
+  -0.5000   0.2629   3.2866   0.0876   1.0955
+  -0.4000   0.8099   8.0986   0.2700   2.6995
+  -0.3000   1.9428  14.5707   0.6476   4.8569
+  -0.2000   3.6296  18.1478   1.2099   6.0493
+  -0.1000   5.2810  13.2024   1.7603   4.4008
+   0.0000   5.9841   0.0000   1.9947   0.0000
+   0.1000   5.2810 -13.2024   1.7603  -4.4008
+   0.2000   3.6309 -18.1210   1.2105  -6.0359
+   0.3000   1.9515 -14.4180   0.6520  -4.7806
+   0.4000   0.8542  -7.4339   0.2921  -2.3672
+   0.5000   0.4382  -1.0955   0.1753  -0.0000
+   0.6000   0.6064   4.4019   0.2921   2.3672
+   0.7000   1.3083   9.4847   0.6520   4.7806
+   0.8000   2.4217  12.0584   1.2105   6.0359
+   0.9000   3.5207   8.8016   1.7603   4.4008
+   1.0000   3.9894   0.0000   1.9947   0.0000
+   1.1000   3.5207  -8.8016   1.7603  -4.4008
+   1.2000   2.4204 -12.0852   1.2105  -6.0359
+   1.3000   1.2995  -9.6375   0.6520  -4.7806
+   1.4000   0.5621  -5.0667   0.2921  -2.3672
+   1.5000   0.2629  -1.0955   0.1753  -0.0000
+   1.6000   0.3143   2.0348   0.2921   2.3672
+   1.7000   0.6563   4.7042   0.6520   4.7806
+   1.8000   1.2112   6.0225   1.2105   6.0359
+   1.9000   1.7603   4.4008   1.7603   4.4008
+   2.0000   1.9947   0.0000   1.9947   0.0000
+   2.1000   1.7603  -4.4008   1.7603  -4.4008
+   2.2000   1.2099  -6.0493   1.2099  -6.0493
+   2.3000   0.6476  -4.8569   0.6476  -4.8569
+   2.4000   0.2700  -2.6995   0.2700  -2.6995
diff --git a/regtest/multicolvar/rt-dens-average/dens5a.reference b/regtest/multicolvar/rt-dens-average/dens5a.reference
new file mode 100644
index 0000000000000000000000000000000000000000..1bffe7fe88976648b9fbf7c48d291c0d0768ef9b
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/dens5a.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   1.0000   0.0000
+  -2.4000   1.0000   0.0000
+  -2.3000   1.0000   0.0000
+  -2.2000   1.0000   0.0000
+  -2.1000   0.0000   0.0000
+  -2.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000
+  -1.8000   0.0000   0.0000
+  -1.7000   0.0000   0.0000
+  -1.6000   0.0000   0.0000
+  -1.5000   0.0000   0.0000
+  -1.4000   0.0000   0.0000
+  -1.3000   0.0000   0.0000
+  -1.2000   0.0000   0.0000
+  -1.1000   0.0000   0.0000
+  -1.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000
+  -0.8000   3.0000  -0.0000
+  -0.7000   3.0000  -0.0000
+  -0.6000   3.0000  -0.0000
+  -0.5000   3.0000   0.0000
+  -0.4000   3.0000   0.0000
+  -0.3000   3.0000   0.0000
+  -0.2000   3.0000   0.0000
+  -0.1000   3.0000  -0.0000
+   0.0000   3.0000   0.0000
+   0.1000   3.0000   0.0000
+   0.2000   2.9994  -0.0138
+   0.3000   2.9933  -0.1662
+   0.4000   2.9241  -1.7526
+   0.5000   2.5000  -6.2500
+   0.6000   2.0759  -1.7526
+   0.7000   2.0067  -0.1662
+   0.8000   2.0006  -0.0138
+   0.9000   2.0000  -0.0000
+   1.0000   2.0000   0.0000
+   1.1000   2.0000   0.0000
+   1.2000   1.9994  -0.0138
+   1.3000   1.9933  -0.1662
+   1.4000   1.9241  -1.7526
+   1.5000   1.5000  -6.2500
+   1.6000   1.0759  -1.7526
+   1.7000   1.0067  -0.1662
+   1.8000   1.0006  -0.0138
+   1.9000   1.0000   0.0000
+   2.0000   1.0000   0.0000
+   2.1000   1.0000   0.0000
+   2.2000   1.0000  -0.0000
+   2.3000   1.0000   0.0000
+   2.4000   1.0000  -0.0000
diff --git a/regtest/multicolvar/rt-dens-average/interpol.reference b/regtest/multicolvar/rt-dens-average/interpol.reference
new file mode 100644
index 0000000000000000000000000000000000000000..ffd401aae02b0ece43e5d34cb8f7d2245db5e100
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/interpol.reference
@@ -0,0 +1,106 @@
+#! FIELDS x interpol dinterpol_x
+#! SET normalisation    0.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  100
+#! SET periodic_x true
+  -2.5000   1.0000   0.0000
+  -2.4500   1.0000   0.0000
+  -2.4000   1.0000   0.0000
+  -2.3500   1.0000  -0.0000
+  -2.3000   1.0000   0.0000
+  -2.2500   1.0000   0.0000
+  -2.2000   1.0000  -0.0000
+  -2.1500   0.5000 -15.0000
+  -2.1000   0.0000   0.0000
+  -2.0500   0.0000   0.0000
+  -2.0000   0.0000   0.0000
+  -1.9500   0.0000   0.0000
+  -1.9000   0.0000   0.0000
+  -1.8500   0.0000   0.0000
+  -1.8000   0.0000   0.0000
+  -1.7500   0.0000   0.0000
+  -1.7000   0.0000   0.0000
+  -1.6500   0.0000   0.0000
+  -1.6000   0.0000   0.0000
+  -1.5500   0.0000   0.0000
+  -1.5000   0.0000   0.0000
+  -1.4500   0.0000   0.0000
+  -1.4000   0.0000   0.0000
+  -1.3500   0.0000   0.0000
+  -1.3000   0.0000   0.0000
+  -1.2500   0.0000   0.0000
+  -1.2000   0.0000   0.0000
+  -1.1500   0.0000   0.0000
+  -1.1000   0.0000   0.0000
+  -1.0500   0.0000   0.0000
+  -1.0000   0.0000   0.0000
+  -0.9500   0.0000   0.0000
+  -0.9000   0.0000   0.0000
+  -0.8500   1.5000  45.0000
+  -0.8000   3.0000  -0.0000
+  -0.7500   3.0000   0.0000
+  -0.7000   3.0000  -0.0000
+  -0.6500   3.0000   0.0000
+  -0.6000   3.0000  -0.0000
+  -0.5500   3.0000   0.0000
+  -0.5000   3.0000   0.0000
+  -0.4500   3.0000  -0.0000
+  -0.4000   3.0000   0.0000
+  -0.3500   3.0000   0.0000
+  -0.3000   3.0000   0.0000
+  -0.2500   3.0000  -0.0000
+  -0.2000   3.0000   0.0000
+  -0.1500   3.0000   0.0000
+  -0.1000   3.0000  -0.0000
+  -0.0500   3.0000  -0.0000
+   0.0000   3.0000   0.0000
+   0.0500   3.0000   0.0000
+   0.1000   3.0000   0.0000
+   0.1500   2.9999  -0.0048
+   0.2000   2.9994  -0.0138
+   0.2500   2.9983  -0.0471
+   0.3000   2.9933  -0.1662
+   0.3500   2.9786  -0.5578
+   0.4000   2.9241  -1.7526
+   0.4500   2.7683  -4.3615
+   0.5000   2.5000  -6.2500
+   0.5500   2.2317  -4.3615
+   0.6000   2.0759  -1.7526
+   0.6500   2.0214  -0.5578
+   0.7000   2.0067  -0.1662
+   0.7500   2.0017  -0.0471
+   0.8000   2.0006  -0.0138
+   0.8500   2.0001  -0.0048
+   0.9000   2.0000  -0.0000
+   0.9500   2.0000   0.0000
+   1.0000   2.0000   0.0000
+   1.0500   2.0000   0.0000
+   1.1000   2.0000   0.0000
+   1.1500   1.9999  -0.0048
+   1.2000   1.9994  -0.0138
+   1.2500   1.9983  -0.0471
+   1.3000   1.9933  -0.1662
+   1.3500   1.9786  -0.5578
+   1.4000   1.9241  -1.7526
+   1.4500   1.7683  -4.3615
+   1.5000   1.5000  -6.2500
+   1.5500   1.2317  -4.3615
+   1.6000   1.0759  -1.7526
+   1.6500   1.0214  -0.5578
+   1.7000   1.0067  -0.1662
+   1.7500   1.0017  -0.0471
+   1.8000   1.0006  -0.0138
+   1.8500   1.0001  -0.0048
+   1.9000   1.0000   0.0000
+   1.9500   1.0000   0.0000
+   2.0000   1.0000   0.0000
+   2.0500   1.0000   0.0000
+   2.1000   1.0000   0.0000
+   2.1500   1.0000   0.0000
+   2.2000   1.0000  -0.0000
+   2.2500   1.0000   0.0000
+   2.3000   1.0000   0.0000
+   2.3500   1.0000   0.0000
+   2.4000   1.0000  -0.0000
+   2.4500   1.0000   0.0000
diff --git a/regtest/multicolvar/rt-dens-average/plumed.dat b/regtest/multicolvar/rt-dens-average/plumed.dat
new file mode 100644
index 0000000000000000000000000000000000000000..568229791a71872008991c3bba37309e60592c2a
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/plumed.dat
@@ -0,0 +1,28 @@
+UNITS NATURAL
+
+dens: COORDINATIONNUMBER SPECIESA=2 SPECIESB=3-5 SWITCH={RATIONAL D_0=1.1 R_0=0.001 D_MAX=2.0}  
+
+# Print the average (whole trajectory) density with a stride of two
+dens1: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 BANDWIDTH=0.2 
+PRINT_GRID GRID=dens1 STRIDE=1 FILE=dens1 FMT=%8.4f
+
+# Print the average density with a stride of two 
+dens2: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 BANDWIDTH=0.2
+PRINT_GRID GRID=dens2 STRIDE=2 FILE=dens2 FMT=%8.4f
+
+# Print the average density (whole trajectory)
+dens5: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 BANDWIDTH=0.2
+PRINT_GRID GRID=dens5 USE_ALL_DATA FILE=dens5 FMT=%8.4f
+PRINT_GRID GRID=dens5 USE_ALL_DATA FILE=dens5a PRINT_AVERAGE FMT=%8.4f
+
+# Print block averages (over two frames) of the density
+dens1b: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 NOMEMORY BANDWIDTH=0.2
+PRINT_GRID GRID=dens1b STRIDE=1 FILE=dens1b FMT=%8.4f
+PRINT_GRID GRID=dens1b STRIDE=1 FILE=dens1ba PRINT_AVERAGE FMT=%8.4f
+
+# Interpolate onto a finer grid and test
+fine: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=100 BANDWIDTH=0.1
+interpol: INTERPOLATE_GRID GRID=dens5 GRID_BIN=100
+
+PRINT_GRID GRID=fine FILE=fine_grid USE_ALL_DATA PRINT_AVERAGE FMT=%8.4f
+PRINT_GRID GRID=interpol FILE=interpol USE_ALL_DATA FMT=%8.4f
diff --git a/regtest/multicolvar/rt-dens-average/trajectory.xyz b/regtest/multicolvar/rt-dens-average/trajectory.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..d5701d7e974ae371d61decaabd733c7817da0b12
--- /dev/null
+++ b/regtest/multicolvar/rt-dens-average/trajectory.xyz
@@ -0,0 +1,21 @@
+5
+5 5 5
+X 0 0 0
+X 0 0 0
+X 1 0 0
+X 0 1 0
+X 0 0 1
+5
+5 5 5
+X 0 0 0
+X 1 0 0
+X 0 0 0
+X 1 1 0
+X 0 0 1
+5
+5 5 5
+X 0 0 0
+X 2 0 0
+X 1 0 0
+X 0 0 0
+X 0 0 1
diff --git a/regtest/multicolvar/rt-dens/Makefile b/regtest/multicolvar/rt-dens/Makefile
new file mode 100644
index 0000000000000000000000000000000000000000..3703b27cea227aa053fb6d1d73f861e4384dbcee
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/Makefile
@@ -0,0 +1 @@
+include ../../scripts/test.make
diff --git a/regtest/multicolvar/rt-dens/analysis.0.dens2b.reference b/regtest/multicolvar/rt-dens/analysis.0.dens2b.reference
new file mode 100644
index 0000000000000000000000000000000000000000..e07e5b21f2b9811d832f41fe64d4c034b119a1e7
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/analysis.0.dens2b.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x
+#! SET normalisation    2.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0000   0.0000
+  -2.4000   0.0000   0.0000
+  -2.3000   0.0000   0.0000
+  -2.2000   0.0000   0.0000
+  -2.1000   0.0000   0.0000
+  -2.0000   0.0000   0.0000
+  -1.9000   0.0000   0.0000
+  -1.8000   0.0000   0.0000
+  -1.7000   0.0000   0.0000
+  -1.6000   0.0000   0.0000
+  -1.5000   0.0000   0.0004
+  -1.4000   0.0007   0.0268
+  -1.3000   0.0222   0.6648
+  -1.2000   0.2700   5.3991
+  -1.1000   1.2099  12.0985
+  -1.0000   1.9947   0.0000
+  -0.9000   1.2099 -12.0985
+  -0.8000   0.2700  -5.3991
+  -0.7000   0.0222  -0.6648
+  -0.6000   0.0000   0.0000
+  -0.5000   0.0000   0.0000
+  -0.4000   0.0000   0.0000
+  -0.3000   0.0000   0.0000
+  -0.2000   0.0000   0.0000
+  -0.1000   0.0000   0.0000
+   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000
+   0.2000   0.0000   0.0000
+   0.3000   0.0000   0.0000
+   0.4000   0.0000   0.0000
+   0.5000   0.0000   0.0000
+   0.6000   0.0007   0.0268
+   0.7000   0.0222   0.6648
+   0.8000   0.2700   5.3991
+   0.9000   1.2099  12.0985
+   1.0000   1.9947   0.0000
+   1.1000   1.2099 -12.0985
+   1.2000   0.2700  -5.3991
+   1.3000   0.0222  -0.6648
+   1.4000   0.0007  -0.0268
+   1.5000   0.0000   0.0000
+   1.6000   0.0000   0.0000
+   1.7000   0.0000   0.0000
+   1.8000   0.0000   0.0000
+   1.9000   0.0000   0.0000
+   2.0000   0.0000   0.0000
+   2.1000   0.0000   0.0000
+   2.2000   0.0000   0.0000
+   2.3000   0.0000   0.0000
+   2.4000   0.0000   0.0000
diff --git a/regtest/multicolvar/rt-dens/config b/regtest/multicolvar/rt-dens/config
new file mode 100644
index 0000000000000000000000000000000000000000..f93ec1a97465724691bf162d4735f5ea3648bbb4
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/config
@@ -0,0 +1,3 @@
+type=driver
+# this is to test a different name
+arg="--plumed plumed.dat --ixyz trajectory.xyz"
diff --git a/regtest/multicolvar/rt-dens/dens2.reference b/regtest/multicolvar/rt-dens/dens2.reference
new file mode 100644
index 0000000000000000000000000000000000000000..03ccd543d23be7b53ad948287fd5f4602a24d10f
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/dens2.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x
+#! SET normalisation    2.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0000   0.0002
+  -2.4000   0.0003   0.0134
+  -2.3000   0.0111   0.3324
+  -2.2000   0.1350   2.6995
+  -2.1000   0.6049   6.0493
+  -2.0000   0.9974   0.0000
+  -1.9000   0.6049  -6.0493
+  -1.8000   0.1350  -2.6995
+  -1.7000   0.0111  -0.3324
+  -1.6000   0.0000   0.0000
+  -1.5000   0.0000   0.0002
+  -1.4000   0.0003   0.0134
+  -1.3000   0.0111   0.3324
+  -1.2000   0.1350   2.6995
+  -1.1000   0.6049   6.0492
+  -1.0000   0.9973   0.0000
+  -0.9000   0.6049  -6.0492
+  -0.8000   0.1350  -2.6995
+  -0.7000   0.0111  -0.3324
+  -0.6000   0.0000   0.0000
+  -0.5000   0.0000   0.0000
+  -0.4000   0.0000   0.0000
+  -0.3000   0.0000   0.0000
+  -0.2000   0.0000   0.0000
+  -0.1000   0.0000   0.0000
+   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000
+   0.2000   0.0000   0.0000
+   0.3000   0.0000   0.0000
+   0.4000   0.0000   0.0000
+   0.5000   0.0000   0.0000
+   0.6000   0.0003   0.0134
+   0.7000   0.0111   0.3324
+   0.8000   0.1350   2.6995
+   0.9000   0.6049   6.0492
+   1.0000   0.9973   0.0000
+   1.1000   0.6049  -6.0492
+   1.2000   0.1350  -2.6995
+   1.3000   0.0111  -0.3324
+   1.4000   0.0003  -0.0134
+   1.5000   0.0000   0.0000
+   1.6000   0.0003   0.0134
+   1.7000   0.0111   0.3324
+   1.8000   0.1350   2.6995
+   1.9000   0.6049   6.0493
+   2.0000   0.9974   0.0000
+   2.1000   0.6049  -6.0493
+   2.2000   0.1350  -2.6995
+   2.3000   0.0111  -0.3324
+   2.4000   0.0003  -0.0134
diff --git a/regtest/multicolvar/rt-dens/dens2b.reference b/regtest/multicolvar/rt-dens/dens2b.reference
new file mode 100644
index 0000000000000000000000000000000000000000..89bd0fd542cc3d0ba044096d99469a6761c15317
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/dens2b.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x
+#! SET normalisation    2.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0000   0.0004
+  -2.4000   0.0007   0.0268
+  -2.3000   0.0222   0.6648
+  -2.2000   0.2700   5.3991
+  -2.1000   1.2099  12.0985
+  -2.0000   1.9947   0.0000
+  -1.9000   1.2099 -12.0985
+  -1.8000   0.2700  -5.3991
+  -1.7000   0.0222  -0.6648
+  -1.6000   0.0000   0.0000
+  -1.5000   0.0000   0.0000
+  -1.4000   0.0000   0.0000
+  -1.3000   0.0000   0.0000
+  -1.2000   0.0000   0.0000
+  -1.1000   0.0000   0.0000
+  -1.0000   0.0000   0.0000
+  -0.9000   0.0000   0.0000
+  -0.8000   0.0000   0.0000
+  -0.7000   0.0000   0.0000
+  -0.6000   0.0000   0.0000
+  -0.5000   0.0000   0.0000
+  -0.4000   0.0000   0.0000
+  -0.3000   0.0000   0.0000
+  -0.2000   0.0000   0.0000
+  -0.1000   0.0000   0.0000
+   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000
+   0.2000   0.0000   0.0000
+   0.3000   0.0000   0.0000
+   0.4000   0.0000   0.0000
+   0.5000   0.0000   0.0000
+   0.6000   0.0000   0.0000
+   0.7000   0.0000   0.0000
+   0.8000   0.0000   0.0000
+   0.9000   0.0000   0.0000
+   1.0000   0.0000   0.0000
+   1.1000   0.0000   0.0000
+   1.2000   0.0000   0.0000
+   1.3000   0.0000   0.0000
+   1.4000   0.0000   0.0000
+   1.5000   0.0000   0.0000
+   1.6000   0.0007   0.0268
+   1.7000   0.0222   0.6648
+   1.8000   0.2700   5.3991
+   1.9000   1.2099  12.0985
+   2.0000   1.9947   0.0000
+   2.1000   1.2099 -12.0985
+   2.2000   0.2700  -5.3991
+   2.3000   0.0222  -0.6648
+   2.4000   0.0007  -0.0268
diff --git a/regtest/multicolvar/rt-dens/dens4.reference b/regtest/multicolvar/rt-dens/dens4.reference
new file mode 100644
index 0000000000000000000000000000000000000000..6ce16c56046ed07877eb088a8690a87a2afff37e
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/dens4.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x
+#! SET normalisation    4.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0000   0.0002
+  -2.4000   0.0003   0.0134
+  -2.3000   0.0111   0.3324
+  -2.2000   0.1350   2.6995
+  -2.1000   0.6049   6.0493
+  -2.0000   0.9974   0.0000
+  -1.9000   0.6049  -6.0493
+  -1.8000   0.1350  -2.6995
+  -1.7000   0.0111  -0.3324
+  -1.6000   0.0000   0.0000
+  -1.5000   0.0000   0.0002
+  -1.4000   0.0003   0.0134
+  -1.3000   0.0111   0.3324
+  -1.2000   0.1350   2.6995
+  -1.1000   0.6049   6.0493
+  -1.0000   0.9974   0.0000
+  -0.9000   0.6049  -6.0493
+  -0.8000   0.1350  -2.6995
+  -0.7000   0.0111  -0.3324
+  -0.6000   0.0000   0.0000
+  -0.5000   0.0000   0.0000
+  -0.4000   0.0000   0.0000
+  -0.3000   0.0000   0.0000
+  -0.2000   0.0000   0.0000
+  -0.1000   0.0000   0.0000
+   0.0000   0.0000   0.0000
+   0.1000   0.0000   0.0000
+   0.2000   0.0000   0.0000
+   0.3000   0.0000   0.0000
+   0.4000   0.0000   0.0000
+   0.5000   0.0000   0.0000
+   0.6000   0.0003   0.0134
+   0.7000   0.0111   0.3324
+   0.8000   0.1350   2.6995
+   0.9000   0.6049   6.0493
+   1.0000   0.9974   0.0000
+   1.1000   0.6049  -6.0493
+   1.2000   0.1350  -2.6995
+   1.3000   0.0111  -0.3324
+   1.4000   0.0003  -0.0134
+   1.5000   0.0000   0.0000
+   1.6000   0.0003   0.0134
+   1.7000   0.0111   0.3324
+   1.8000   0.1350   2.6995
+   1.9000   0.6049   6.0493
+   2.0000   0.9974   0.0000
+   2.1000   0.6049  -6.0493
+   2.2000   0.1350  -2.6995
+   2.3000   0.0111  -0.3324
+   2.4000   0.0003  -0.0134
diff --git a/regtest/multicolvar/rt-dens/dens5.reference b/regtest/multicolvar/rt-dens/dens5.reference
new file mode 100644
index 0000000000000000000000000000000000000000..e7fbce3a27120a45c1a291b882ad34200a6217b8
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/dens5.reference
@@ -0,0 +1,56 @@
+#! FIELDS x .dens d.dens_x
+#! SET normalisation    5.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  50
+#! SET periodic_x true
+  -2.5000   0.0000   0.0001
+  -2.4000   0.0003   0.0107
+  -2.3000   0.0089   0.2659
+  -2.2000   0.1080   2.1596
+  -2.1000   0.4839   4.8394
+  -2.0000   0.7979   0.0000
+  -1.9000   0.4839  -4.8394
+  -1.8000   0.1080  -2.1596
+  -1.7000   0.0089  -0.2659
+  -1.6000   0.0000   0.0000
+  -1.5000   0.0000   0.0001
+  -1.4000   0.0003   0.0107
+  -1.3000   0.0089   0.2659
+  -1.2000   0.1080   2.1596
+  -1.1000   0.4839   4.8394
+  -1.0000   0.7979   0.0000
+  -0.9000   0.4839  -4.8394
+  -0.8000   0.1080  -2.1596
+  -0.7000   0.0089  -0.2659
+  -0.6000   0.0000   0.0000
+  -0.5000   0.0000   0.0000
+  -0.4000   0.0003   0.0107
+  -0.3000   0.0089   0.2659
+  -0.2000   0.1080   2.1596
+  -0.1000   0.4839   4.8394
+   0.0000   0.7979   0.0000
+   0.1000   0.4839  -4.8394
+   0.2000   0.1080  -2.1596
+   0.3000   0.0089  -0.2659
+   0.4000   0.0003  -0.0107
+   0.5000   0.0000   0.0000
+   0.6000   0.0003   0.0107
+   0.7000   0.0089   0.2659
+   0.8000   0.1080   2.1596
+   0.9000   0.4839   4.8394
+   1.0000   0.7979   0.0000
+   1.1000   0.4839  -4.8394
+   1.2000   0.1080  -2.1596
+   1.3000   0.0089  -0.2659
+   1.4000   0.0003  -0.0107
+   1.5000   0.0000   0.0000
+   1.6000   0.0003   0.0107
+   1.7000   0.0089   0.2659
+   1.8000   0.1080   2.1596
+   1.9000   0.4839   4.8394
+   2.0000   0.7979   0.0000
+   2.1000   0.4839  -4.8394
+   2.2000   0.1080  -2.1596
+   2.3000   0.0089  -0.2659
+   2.4000   0.0003  -0.0107
diff --git a/regtest/multicolvar/rt-dens/interpol.reference b/regtest/multicolvar/rt-dens/interpol.reference
new file mode 100644
index 0000000000000000000000000000000000000000..f39b87868279d728b88a89491032f657ec238438
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/interpol.reference
@@ -0,0 +1,106 @@
+#! FIELDS x interpol dinterpol_x
+#! SET normalisation    5.0000
+#! SET min_x -2.5
+#! SET max_x 2.5
+#! SET nbins_x  100
+#! SET periodic_x true
+  -2.5000   0.0000   0.0001
+  -2.4500   0.0000   0.0013
+  -2.4000   0.0003   0.0107
+  -2.3500   0.0014   0.0598
+  -2.3000   0.0089   0.2659
+  -2.2500   0.0348   0.8804
+  -2.2000   0.1080   2.1596
+  -2.1500   0.2625   3.8896
+  -2.1000   0.4839   4.8394
+  -2.0500   0.7014   3.4993
+  -2.0000   0.7979   0.0000
+  -1.9500   0.7014  -3.4993
+  -1.9000   0.4839  -4.8394
+  -1.8500   0.2625  -3.8896
+  -1.8000   0.1080  -2.1596
+  -1.7500   0.0348  -0.8804
+  -1.7000   0.0089  -0.2659
+  -1.6500   0.0011  -0.0665
+  -1.6000   0.0000   0.0000
+  -1.5500  -0.0000   0.0000
+  -1.5000   0.0000   0.0001
+  -1.4500   0.0000   0.0013
+  -1.4000   0.0003   0.0107
+  -1.3500   0.0014   0.0598
+  -1.3000   0.0089   0.2659
+  -1.2500   0.0348   0.8804
+  -1.2000   0.1080   2.1596
+  -1.1500   0.2625   3.8896
+  -1.1000   0.4839   4.8394
+  -1.0500   0.7014   3.4993
+  -1.0000   0.7979   0.0000
+  -0.9500   0.7014  -3.4993
+  -0.9000   0.4839  -4.8394
+  -0.8500   0.2625  -3.8896
+  -0.8000   0.1080  -2.1596
+  -0.7500   0.0348  -0.8804
+  -0.7000   0.0089  -0.2659
+  -0.6500   0.0011  -0.0665
+  -0.6000   0.0000   0.0000
+  -0.5500   0.0000   0.0000
+  -0.5000   0.0000   0.0000
+  -0.4500   0.0000   0.0013
+  -0.4000   0.0003   0.0107
+  -0.3500   0.0014   0.0598
+  -0.3000   0.0089   0.2659
+  -0.2500   0.0348   0.8804
+  -0.2000   0.1080   2.1596
+  -0.1500   0.2625   3.8896
+  -0.1000   0.4839   4.8394
+  -0.0500   0.7014   3.4993
+   0.0000   0.7979   0.0000
+   0.0500   0.7014  -3.4993
+   0.1000   0.4839  -4.8394
+   0.1500   0.2625  -3.8896
+   0.2000   0.1080  -2.1596
+   0.2500   0.0348  -0.8804
+   0.3000   0.0089  -0.2659
+   0.3500   0.0014  -0.0598
+   0.4000   0.0003  -0.0107
+   0.4500   0.0000  -0.0013
+   0.5000   0.0000   0.0000
+   0.5500   0.0000   0.0013
+   0.6000   0.0003   0.0107
+   0.6500   0.0014   0.0598
+   0.7000   0.0089   0.2659
+   0.7500   0.0348   0.8804
+   0.8000   0.1080   2.1596
+   0.8500   0.2625   3.8896
+   0.9000   0.4839   4.8394
+   0.9500   0.7014   3.4993
+   1.0000   0.7979   0.0000
+   1.0500   0.7014  -3.4993
+   1.1000   0.4839  -4.8394
+   1.1500   0.2625  -3.8896
+   1.2000   0.1080  -2.1596
+   1.2500   0.0348  -0.8804
+   1.3000   0.0089  -0.2659
+   1.3500   0.0014  -0.0598
+   1.4000   0.0003  -0.0107
+   1.4500   0.0000  -0.0013
+   1.5000   0.0000   0.0000
+   1.5500  -0.0000   0.0013
+   1.6000   0.0003   0.0107
+   1.6500   0.0014   0.0598
+   1.7000   0.0089   0.2659
+   1.7500   0.0348   0.8804
+   1.8000   0.1080   2.1596
+   1.8500   0.2625   3.8896
+   1.9000   0.4839   4.8394
+   1.9500   0.7014   3.4993
+   2.0000   0.7979   0.0000
+   2.0500   0.7014  -3.4993
+   2.1000   0.4839  -4.8394
+   2.1500   0.2625  -3.8896
+   2.2000   0.1080  -2.1596
+   2.2500   0.0348  -0.8804
+   2.3000   0.0089  -0.2659
+   2.3500   0.0014  -0.0598
+   2.4000   0.0003  -0.0107
+   2.4500  -0.0000  -0.0013
diff --git a/regtest/multicolvar/rt-dens/plumed.dat b/regtest/multicolvar/rt-dens/plumed.dat
new file mode 100644
index 0000000000000000000000000000000000000000..1a29a3ef60f0c844f6b40b823e9362ff3bb94316
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/plumed.dat
@@ -0,0 +1,26 @@
+UNITS NATURAL
+
+dens: DENSITY SPECIES=2  
+
+# Print the average (whole trajectory) density with a stride of two
+dens2: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 BANDWIDTH=0.1 
+PRINT_GRID GRID=dens2 STRIDE=2 FILE=dens2 FMT=%8.4f
+
+# Print the average density with a stride of four
+dens4: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 BANDWIDTH=0.1
+PRINT_GRID GRID=dens4 STRIDE=4 FILE=dens4 FMT=%8.4f
+
+# Print the average density (whole trajectory)
+dens5: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 BANDWIDTH=0.1
+PRINT_GRID GRID=dens5 USE_ALL_DATA FILE=dens5 FMT=%8.4f
+
+# Print block averages (over two frames) of the density
+dens2b: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=50 NOMEMORY BANDWIDTH=0.1
+PRINT_GRID GRID=dens2b STRIDE=2 FILE=dens2b FMT=%8.4f
+
+# Interpolate onto a finer grid and test
+fine: MULTICOLVARDENS DATA=dens ORIGIN=1 DIR=x NBINS=100 BANDWIDTH=0.1
+interpol: INTERPOLATE_GRID GRID=dens5 GRID_BIN=100 
+
+PRINT_GRID GRID=fine FILE=fine_grid USE_ALL_DATA FMT=%8.4f 
+PRINT_GRID GRID=interpol FILE=interpol USE_ALL_DATA FMT=%8.4f 
diff --git a/regtest/multicolvar/rt-dens/trajectory.xyz b/regtest/multicolvar/rt-dens/trajectory.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..b9cb16b2db71a678d51a9834151419b5d74a6a82
--- /dev/null
+++ b/regtest/multicolvar/rt-dens/trajectory.xyz
@@ -0,0 +1,20 @@
+2
+5 5 5
+X 0 0 0
+X 0 0 0
+2
+5 5 5
+X 0 0 0
+X 1 0 0
+2
+5 5 5
+X 0 0 0
+X -1 0 0
+2
+5 5 5
+X 0 0 0
+X 2 0 0
+2
+5 5 5
+X 0 0 0
+X -2 0 0
diff --git a/src/analysis/Analysis.cpp b/src/analysis/Analysis.cpp
index fb539218ce322ae201f0e0a7c06a5e5fb8849bfc..a05f92f63d9a2e35e5d95ff51e243e93855ec254 100644
--- a/src/analysis/Analysis.cpp
+++ b/src/analysis/Analysis.cpp
@@ -76,7 +76,6 @@ void Analysis::registerKeywords( Keywords& keys ){
   keys.addFlag("WRITE_CHECKPOINT",false,"write out a checkpoint so that the analysis can be restarted in a later run");
   keys.add("hidden","REUSE_DATA_FROM","eventually this will allow you to analyse the same set of data multiple times");
   keys.add("hidden","IGNORE_REWEIGHTING","this allows you to ignore any reweighting factors");
-  keys.reserveFlag("NOMEMORY",false,"analyse each block of data separately");
   keys.use("RESTART");
   keys.use("UPDATE_FROM");
   keys.use("UPDATE_UNTIL");
@@ -186,8 +185,6 @@ argument_names(getNumberOfArguments())
               log.printf("  analyzing all data in trajectory\n");
           }
       }
-      if( keywords.exists("NOMEMORY") ){ nomemory=false; parseFlag("NOMEMORY",nomemory); }
-      if(nomemory) log.printf("  doing a separate analysis for each block of data\n");
       parseFlag("WRITE_CHECKPOINT",write_chq);
       if( write_chq && single_run ){
           write_chq=false;
@@ -368,18 +365,17 @@ void Analysis::finalizeWeights( const bool& ignore_weights ){
       }
   // Calculate normalized weights (with memory)
   } else {
-      // Calculate normalization constant
-      for(unsigned i=0;i<logweights.size();++i){
-         norm+=exp( logweights[i] );
-      }
-      if( !firstAnalysisDone ) old_norm=1.0;
-      // Calculate weights (with memory)
-      for(unsigned i=0;i<logweights.size();++i){
-          data[i]->setWeight( exp( logweights[i] ) / old_norm );
-      }
-      if( !firstAnalysisDone ) old_norm=0.0;
+      if( !firstAnalysisDone ) finalizeWeightsNoLogSums( 1.0 );
+      else finalizeWeightsNoLogSums( old_norm );
   }
-  
+}
+
+void Analysis::finalizeWeightsNoLogSums( const double& onorm ){
+  if( !reusing_data && idata!=logweights.size() ) error("something has gone wrong.  Am trying to run analysis but I don't have sufficient data");
+  // Calculate normalization constant
+  norm=0; for(unsigned i=0;i<logweights.size();++i) norm+=exp( logweights[i] );
+  // Calculate weights (with memory)
+  for(unsigned i=0;i<logweights.size();++i) data[i]->setWeight( exp( logweights[i] ) / onorm );
 }
 
 void Analysis::getDataPoint( const unsigned& idata, std::vector<double>& point, double& weight ) const {
diff --git a/src/analysis/Analysis.h b/src/analysis/Analysis.h
index df8a5d5bc18931b9f02b792232958480eed4e464..ac716c064541766e45655fed2155034778fc2f9e 100644
--- a/src/analysis/Analysis.h
+++ b/src/analysis/Analysis.h
@@ -125,13 +125,13 @@ protected:
   double getTemp () const;
 /// Are we analyzing each data block separately (if we are not this also returns the old normalization )
   bool usingMemory() const; 
-/// Convert the stored log weights to proper weights
-  void finalizeWeights( const bool& ignore_weights );
 /// Overwrite ActionWithArguments getArguments() so that we don't return
 /// the bias
   std::vector<Value*> getArguments();
 /// Return the format to use for numbers in output files
   std::string getOutputFormat() const ;
+/// Finalize the weights without using the log sums
+  void finalizeWeightsNoLogSums( const double& onorm );
 public:
   static void registerKeywords( Keywords& keys );
   explicit Analysis(const ActionOptions&);
@@ -150,6 +150,8 @@ public:
   bool isPeriodic(){ plumed_error(); return false; }
   unsigned getNumberOfDerivatives(){ return 0; }
   virtual void setAnalysisStride( const bool& use_all, const unsigned& astride );
+  /// Convert the stored log weights to proper weights
+  virtual void finalizeWeights( const bool& ignore_weights );
 };
 
 inline
diff --git a/src/analysis/Histogram.cpp b/src/analysis/Histogram.cpp
index 72a4f66da67dbc5a1ecbc07c8c744b80cb198aef..24d9ba7ca75f97a96cfd15b7f98f7b97b5ce2bba 100644
--- a/src/analysis/Histogram.cpp
+++ b/src/analysis/Histogram.cpp
@@ -130,6 +130,7 @@ public:
   unsigned getNumberOfQuantities() const ;
   void performTask( const unsigned& , const unsigned& , MultiValue& ) const ;
   void setAnalysisStride( const bool& use_all, const unsigned& astride );
+  void finalizeWeights( const bool& ignore_weights );
 };
 
 PLUMED_REGISTER_ACTION(Histogram,"HISTOGRAM")
@@ -146,7 +147,7 @@ void Histogram::registerKeywords( Keywords& keys ){
                                              More details on the kernels available in plumed can be found in \\ref kernelfunctions.");
   keys.add("optional","BANDWIDTH","the bandwdith for kernel density estimation");
   keys.addFlag("UNORMALIZED",false,"Set to TRUE if you don't want histogram to be normalized or free energy to be shifted.");
-  keys.use("NOMEMORY");
+  keys.addFlag("NOMEMORY",false,"analyse each block of data separately");
 }
 
 Histogram::Histogram(const ActionOptions&ao):
@@ -169,14 +170,15 @@ unnormalized(false)
      else vstring+=",F";
   }
   bool unorm=false; parseFlag("UNORMALIZED",unorm);
+  bool nomem=false; parseFlag("NOMEMORY",nomem);
   if( unorm ){
      log.printf("  working with unormalised grid \n");
      vstring += " UNORMALIZED";
   }
+  if( nomem ) vstring += " NOMEMORY";
   vstring += " COMPONENTS=" + getLabel();
   vstring += " COORDINATES=" + getPntrToArgument(0)->getName();
   for(unsigned i=1;i<getNumberOfArguments();++i) vstring += "," + getPntrToArgument(i)->getName(); 
-  if( !usingMemory() ) vstring += " NOMEMORY";
   std::vector<unsigned> nbin; parseVector("GRID_BIN",nbin);
   std::vector<double> gspacing; parseVector("GRID_SPACING",gspacing);
   if( nbin.size()!=getNumberOfArguments() && gspacing.size()!=getNumberOfArguments() ){
@@ -216,6 +218,8 @@ void Histogram::performTask( const unsigned& task_index, const unsigned& current
   myvals.setValue( 1+getNumberOfArguments(), weight );
 }
 
+void Histogram::finalizeWeights( const bool& ignore_weights ){ finalizeWeightsNoLogSums( 1.0 ); }
+
 void Histogram::performAnalysis(){
   if( mygrid->wasreset() ) mygrid->clear();
   mygrid->setNorm( getNormalization() ); runAllTasks();
diff --git a/src/gridtools/ActionWithInputGrid.cpp b/src/gridtools/ActionWithInputGrid.cpp
index a4b363727ccb3e1a508d0ccc6bf35d3b507f0042..50caa9c8d09dd2f046861ef4fb3e962f965117db 100644
--- a/src/gridtools/ActionWithInputGrid.cpp
+++ b/src/gridtools/ActionWithInputGrid.cpp
@@ -32,6 +32,7 @@ void ActionWithInputGrid::registerKeywords( Keywords& keys ){
   vesselbase::ActionWithVessel::registerKeywords( keys );
   keys.add("compulsory","GRID","the action that creates the input grid you would like to use");
   keys.add("optional","STRIDE","the frequency with which to output the grid");
+  keys.add("optional","COMPONENT","if your input is a vector field use this to specifiy the component of the input vector field for which you wish to use");
   keys.addFlag("USE_ALL_DATA",false,"use the data from the entire trajectory to perform the analysis");
 }
 
@@ -52,13 +53,21 @@ mygrid(NULL)
      if( getStride()%ap->getStride()!=0 ) error("mismatch between strides in " + ap->getLabel() + " and " +  getLabel() );
   }
 
-  log.printf("  using grid calculated by action %s \n",mves->getLabel().c_str() );
   for(unsigned i=0;i<mves->getNumberOfVessels();++i){
       mygrid=dynamic_cast<GridVessel*>( mves->getPntrToVessel(i) );
       if( mygrid ) break; 
   }
   if( !mygrid ) error("input action does not calculate a grid");
 
+  if( mygrid->getNumberOfComponents()==1 ){
+     mycomp=0;
+  } else {
+     int tcomp=-1; parse("COMPONENT",tcomp);
+     if( tcomp<0 ) error("component of vector field was not specified - use COMPONENT keyword");
+     mycomp=tcomp;
+  }
+  log.printf("  using %dth component of grid calculated by action %s \n",mycomp,mves->getLabel().c_str() );
+
   if( keywords.exists("USE_ALL_DATA") ){
      parseFlag("USE_ALL_DATA",single_run);
      if( !single_run ){
@@ -81,7 +90,7 @@ void ActionWithInputGrid::update(){
   // Don't analyse the first frame in the trajectory
   if( single_run || getStep()==0 ) return;
   // Now check that all stuff for restarting is done correctly
-  if( !mygrid->foundprint ) error("an additional PRINT_GRID action is required before this action so grid is restarted correctly");
+  if( !mygrid->nomemory && !mygrid->foundprint ) error("an additional PRINT_GRID action is required before this action so grid is restarted correctly");
 
   if( checkAllActive() ){
      for(unsigned i=0;i<mygrid->getNumberOfPoints();++i){
@@ -89,6 +98,8 @@ void ActionWithInputGrid::update(){
      }
   }
   performOperationsWithGrid( true );
+  // Get the grid ready for next time
+  mygrid->reset();
 }
 
 void ActionWithInputGrid::runFinalJobs(){
diff --git a/src/gridtools/ActionWithInputGrid.h b/src/gridtools/ActionWithInputGrid.h
index 83ff5fd024267963da3a25ef44963e5617235ff8..93fa671c5aac8b96243a12de5a17dfec9d4ccc3b 100644
--- a/src/gridtools/ActionWithInputGrid.h
+++ b/src/gridtools/ActionWithInputGrid.h
@@ -33,12 +33,16 @@ public ActionPilot,
 public vesselbase::ActionWithVessel
 {
 friend class GridFunction;
+friend class PrintGrid;
 private:
+  unsigned mycomp;
   vesselbase::ActionWithVessel* mves;
 protected:
   bool single_run;
   GridVessel* mygrid;
-  double getGridElementAndDerivatives( const std::vector<double>& x, std::vector<double>& der ) const ;
+  double getFunctionValue( const unsigned& ipoint ) const ;
+  double getFunctionValue( const std::vector<unsigned>& ip ) const ;
+  double getFunctionValueAndDerivatives( const std::vector<double>& x, std::vector<double>& der ) const ;
 public:
   static void registerKeywords( Keywords& keys );
   explicit ActionWithInputGrid(const ActionOptions&ao);
@@ -53,6 +57,22 @@ public:
   virtual void invertTask( const std::vector<double>& indata, std::vector<double>& outdata );
 };
 
+inline
+double ActionWithInputGrid::getFunctionValue( const unsigned& ipoint ) const {
+  unsigned dim=mygrid->getDimension(); if( mygrid->noderiv ) dim=0; 
+  return mygrid->getGridElement( ipoint, mycomp*(1+dim) );
+}
+
+inline
+double ActionWithInputGrid::getFunctionValue( const std::vector<unsigned>& ip ) const {
+  return getFunctionValue( mygrid->getIndex(ip) );
+}
+
+inline
+double ActionWithInputGrid::getFunctionValueAndDerivatives( const std::vector<double>& x, std::vector<double>& der ) const {
+  return mygrid->getValueAndDerivatives( x, mycomp, der );
+} 
+
 }
 }
 #endif
diff --git a/src/gridtools/AverageOnGrid.cpp b/src/gridtools/AverageOnGrid.cpp
index 51f6acb71329a1816b02bbf04a24410703583f04..3167b53b7dfbbc0a639a43454e11496889c30c2c 100644
--- a/src/gridtools/AverageOnGrid.cpp
+++ b/src/gridtools/AverageOnGrid.cpp
@@ -31,31 +31,42 @@ void AverageOnGrid::registerKeywords( Keywords& keys ){
 AverageOnGrid::AverageOnGrid( const vesselbase::VesselOptions& da ):
 HistogramOnGrid(da)
 {
-  plumed_assert( nper==(dimension+1) );
   arg_names.push_back( "density" );
   if( !discrete ){
     for(unsigned i=0;i<dimension;++i) arg_names.push_back( "ddensity_" + arg_names[i] );
-    nper = 2*(dimension+1);
+    nper += (dimension+1);
   } else {
-    nper = 2;
+    nper += 1;
   }
 }
 
 void AverageOnGrid::accumulate( const unsigned& ipoint, const double& weight, const double& dens, const std::vector<double>& der, std::vector<double>& buffer ) const {
-  buffer[bufstart+nper*ipoint] += weight*dens; buffer[bufstart+nper*ipoint+1+dimension] += dens;
+  buffer[bufstart+nper*ipoint] += weight*dens; buffer[ bufstart+nper*(ipoint+1) - (dimension+1) ] += dens;
   if( der.size()>0 ){
-    for(unsigned j=0;j<dimension;++j) buffer[bufstart+nper*ipoint+ 1 + j] += weight*der[j];
-    for(unsigned j=0;j<dimension;++j) buffer[bufstart+nper*ipoint + 1 + dimension + 1 + j] += der[j];
+    for(unsigned j=0;j<dimension;++j) buffer[ bufstart+nper*ipoint + 1 + j ] += weight*der[j];
+    for(unsigned j=0;j<dimension;++j) buffer[ bufstart+nper*(ipoint+1) - dimension + j ] += der[j];
   }
 }
 
 double AverageOnGrid::getGridElement( const unsigned& ipoint, const unsigned& jelement ) const {
   if( unormalised ) return data[nper*ipoint + jelement];  
-  if( jelement==0 ) return data[nper*ipoint] / data[nper*ipoint + 1 + dimension]; 
-  double rdenom = 1.0;
-  if( fabs(data[nper*ipoint+1+dimension])>epsilon ) rdenom = 1. / data[nper*ipoint + 1 + dimension];
-  return rdenom*data[nper*ipoint+1+jelement] - rdenom*rdenom*data[nper*ipoint]*data[nper*ipoint+1+dimension+1+jelement]; 
-} 
+
+  if( noderiv ) return data[nper*ipoint+jelement] / data[nper*(1+ipoint) - 1];
+
+  double rdenom = 1.0; 
+  if( fabs(data[nper*(ipoint+1) -(dimension+1)])>epsilon ) rdenom = 1. / data[nper*(ipoint+1) - (dimension+1)];
+  
+  unsigned jderiv = jelement%(1+dimension);
+  if( jderiv==0 ) return rdenom*data[nper*ipoint+jelement]; 
+
+  unsigned jfloor = std::floor( jelement / (1+dimension) );
+  return rdenom*data[nper*ipoint+jelement] - rdenom*rdenom*data[nper*ipoint+jfloor]*data[nper*(ipoint+1) - (dimension+1) + jderiv ]; 
+}
+
+double AverageOnGrid::getGridElementForPrint( const unsigned& ipoint, const unsigned& jelement ) const {
+  plumed_assert( bounds_set && ipoint<npoints && jelement<nper && active[ipoint] );
+  return data[nper*ipoint + jelement]; 
+}
 
 }
 }
diff --git a/src/gridtools/AverageOnGrid.h b/src/gridtools/AverageOnGrid.h
index 2506b78fafa331a04c5448d632d277fa0c1049c2..5229e0e52f4bd4c10b1063b69d036e4c2e7baaf9 100644
--- a/src/gridtools/AverageOnGrid.h
+++ b/src/gridtools/AverageOnGrid.h
@@ -33,8 +33,16 @@ public:
   explicit AverageOnGrid( const vesselbase::VesselOptions& da );
   void accumulate( const unsigned& ipoint, const double& weight, const double& dens, const std::vector<double>& der, std::vector<double>& buffer ) const ;
   double getGridElement( const unsigned& ipoint, const unsigned& jelement ) const ;
+  double getGridElementForPrint( const unsigned& ipoint, const unsigned& jelement ) const ;
+  unsigned getNumberOfComponents() const ;
 };
 
+inline
+unsigned AverageOnGrid::getNumberOfComponents() const {
+  if( noderiv ) return nper - 1;
+  return nper / ( dimension + 1 ) - 1;
+}
+
 }
 }
 #endif
diff --git a/src/gridtools/ConvertToFES.cpp b/src/gridtools/ConvertToFES.cpp
index 1ec285003915f05ee7b5b6f8602593d0a6b88199..d44075ac74343b93abbb81bdcc973a0343f38cc2 100644
--- a/src/gridtools/ConvertToFES.cpp
+++ b/src/gridtools/ConvertToFES.cpp
@@ -55,16 +55,15 @@ ConvertToFES::ConvertToFES(const ActionOptions&ao):
 Action(ao),
 ActionWithInputGrid(ao)
 {
-  if( mygrid->getNumberOfComponents()!=1 ) error("input grid is vector field and cannot be converted to FES");
+  plumed_assert( mygrid->getNumberOfComponents()==1 );
   // Create the input from the old string
-  std::string vstring = "NOMEMORY COMPONENTS=" + getLabel() + " " + mygrid->getInputString();
+  std::string vstring = "COMPONENTS=" + getLabel() + " " + mygrid->getInputString();
 
   // Create a grid
   vesselbase::VesselOptions da("mygrid","",-1,vstring,this);
   Keywords keys; GridFunction::registerKeywords( keys );
   vesselbase::VesselOptions dar( da, keys );
-  outgrid = new GridFunction(dar); addVessel( outgrid ); std::vector<double> fspacing;
-  outgrid->setBounds( mygrid->getMin(), mygrid->getMax(), mygrid->getNbin(), fspacing);
+  outgrid = new GridFunction(dar); addVessel( outgrid ); 
   if( mygrid->noDerivatives() ) outgrid->setNoDerivatives();
   resizeFunctions();
 
@@ -87,21 +86,26 @@ unsigned ConvertToFES::getNumberOfQuantities() const {
 }
 
 void ConvertToFES::performOperationsWithGrid( const bool& from_update ){
-  outgrid->clear(); outgrid->setNorm( mygrid->getNorm() ); 
-  runAllTasks(); outgrid->reset();
+  std::vector<double> fspacing;
+  outgrid->setBounds( mygrid->getMin(), mygrid->getMax(), mygrid->getNbin(), fspacing);
+  outgrid->clear(); outgrid->setNorm( mygrid->getNorm() ); runAllTasks(); 
 }
 
 void ConvertToFES::performTask( const unsigned& task_index, const unsigned& current, MultiValue& myvals ) const {
-  double val=mygrid->getGridElement(current, 0);
+  double val=getFunctionValue( current );
   myvals.setValue( 0, 1.0 ); myvals.setValue(1, -simtemp*std::log(val) );
-  if( !mygrid->noDerivatives() ){
+  if( !mygrid->noDerivatives() && val>0 ){
      for(unsigned i=0;i<mygrid->getDimension();++i) myvals.setValue( 2+i, -(simtemp/val)*mygrid->getGridElement(current,i+1) );
   }
 }
 
 void ConvertToFES::invertTask( const std::vector<double>& indata, std::vector<double>& outdata ){
-  outdata[0] = exp( -indata[0]/simtemp );
-  for(unsigned i=0;i<mygrid->getDimension();++i) outdata[1+i] = -(indata[0]/simtemp)*indata[1+i];  
+  if( fabs( indata[0] )>epsilon ){
+      outdata[0] = exp( -indata[0]/simtemp );
+      for(unsigned i=0;i<mygrid->getDimension();++i) outdata[1+i] = -(outdata[0]/simtemp)*indata[1+i];  
+  } else {
+      for(unsigned i=0;i<outdata.size();++i) outdata[i]=0.;
+  }
 }
 
 }
diff --git a/src/gridtools/FindContour.cpp b/src/gridtools/FindContour.cpp
index 8e9e107352594775401358496f55f74b868d38b0..4d541b5a4acf8670de1144e827368733ed047be9 100644
--- a/src/gridtools/FindContour.cpp
+++ b/src/gridtools/FindContour.cpp
@@ -36,7 +36,6 @@ private:
   double lenunit;
   unsigned gbuffer;
   std::string fmt_xyz;
-  unsigned mycomp;
   double contour;
   bool firsttime, usegrid, output_xyz;
   std::vector<unsigned> gdirs;
@@ -69,7 +68,6 @@ void FindContour::registerKeywords( Keywords& keys ){
                                           "along the third axis of the grid");
   keys.addFlag("BUILD_GRID",false,"look for position of the contour on a grid");
   keys.add("compulsory","BUFFER","0","number of buffer grid points around location where grid was found on last step.  If this is zero the full grid is calculated on each step");
-  keys.add("optional","COMPONENT","if your input is a vector field use this to specifiy the component of the input vector field for which you wish to find the contour");
   keys.add("optional", "PRECISION","The number of digits in trajectory file");  
 }
 
@@ -81,13 +79,6 @@ nosearch_dirs( mygrid->getDimension() ),
 firsttime(true),
 outgrid(NULL)
 {
-  if( mygrid->getNumberOfComponents()==1 ){ 
-     mycomp=0; 
-  } else {
-     int tcomp=-1; parse("COMPONENT",tcomp);
-     if( tcomp<0 ) error("component of vector field was not specified - use COMPONENT keyword");
-     mycomp=tcomp;
-  }
   if( mygrid->noDerivatives() ) error("cannot find contours if input grid has no derivatives");
 
   parse("CONTOUR",contour); parse("BUFFER",gbuffer);
@@ -177,7 +168,7 @@ outgrid(NULL)
 }
 
 double FindContour::getDifferenceFromContour( const std::vector<double>& x, std::vector<double>& der ){
-  return mygrid->getValueAndDerivatives( x, mycomp, der ) - contour;
+  return getFunctionValueAndDerivatives( x, der ) - contour;
 }
 
 void FindContour::performOperationsWithGrid( const bool& from_update ){
@@ -228,7 +219,7 @@ void FindContour::performOperationsWithGrid( const bool& from_update ){
      if( cycle ) continue;
 
      // Get the value of a point on the grid
-     double val1=mygrid->getGridElement( i, mycomp*(mygrid->getDimension()+1) ) - contour;
+     double val1=getFunctionValue( i ) - contour;
 
      bool edge=false;
      for(unsigned j=0;j<mygrid->getDimension();++j){
@@ -237,7 +228,7 @@ void FindContour::performOperationsWithGrid( const bool& from_update ){
          if( !mygrid->isPeriodic(j) && (ind[j]+1)==nbin[j] ) continue;
          else if( (ind[j]+1)==nbin[j] ){ edge=true; ind[j]=0; }
          else ind[j]+=1; 
-         double val2=mygrid->getGridElement(ind,mycomp*(mygrid->getDimension()+1)) - contour;
+         double val2=getFunctionValue( ind ) - contour;
          if( val1*val2<0 ){
              // Use initial point location as first guess for search
              contour_points[npoints].resize( mygrid->getDimension() );  
@@ -261,8 +252,6 @@ void FindContour::performOperationsWithGrid( const bool& from_update ){
    
   }
   if( gbuffer>0 ) mygrid->activateThesePoints( active );
-  // Clear the grid ready for next time
-  if( from_update ) mygrid->reset();
 
   if( usegrid ){
       std::vector<double> g_point( outgrid->getDimension() );
diff --git a/src/gridtools/FindSphericalContour.cpp b/src/gridtools/FindSphericalContour.cpp
index d6325f9e1ce7397c0b3f59469de15913146090d0..ae8a9c0c469ef6f3072577f5d14a99cd0329222b 100644
--- a/src/gridtools/FindSphericalContour.cpp
+++ b/src/gridtools/FindSphericalContour.cpp
@@ -36,7 +36,7 @@ private:
   double lenunit;
   std::string fmt_xyz;
   int rnd;
-  unsigned mycomp, nbins;
+  unsigned nbins;
   double contour, offset, increment;
   double min, max;
   unsigned npoints;
@@ -62,7 +62,6 @@ void FindSphericalContour::registerKeywords( Keywords& keys ){
 // We want a better way of doing this bit
   keys.add("compulsory", "FILE", "file on which to output coordinates");
   keys.add("compulsory", "UNITS","PLUMED","the units in which to print out the coordinates. PLUMED means internal PLUMED units");
-  keys.add("optional","COMPONENT","if your input is a vector field use this to specifiy the component of the input vector field for which you wish to find the contour");
   keys.add("optional", "PRECISION","The number of digits in trajectory file");  
 }
 
@@ -71,14 +70,6 @@ Action(ao),
 ActionWithInputGrid(ao)
 {
   if( mygrid->getDimension()!=3 ) error("input grid must be three dimensional");
-
-  if( mygrid->getNumberOfComponents()==1 ){ 
-     mycomp=0; 
-  } else {
-     int tcomp=-1; parse("COMPONENT",tcomp);
-     if( tcomp<0 ) error("component of vector field was not specified - use COMPONENT keyword");
-     mycomp=tcomp;
-  }
   if( mygrid->noDerivatives() ) error("cannot find contours if input grid has no derivatives");
 
   parse("NPOINTS",npoints);
@@ -126,7 +117,7 @@ ActionWithInputGrid(ao)
 }
 
 double FindSphericalContour::getDifferenceFromContour( const std::vector<double>& x, std::vector<double>& der ){
-  return mygrid->getValueAndDerivatives( x, mycomp, der ) - contour;
+  return getFunctionValueAndDerivatives( x, der ) - contour;
 }
 
 void FindSphericalContour::performOperationsWithGrid( const bool& from_update ){
@@ -173,9 +164,6 @@ void FindSphericalContour::performOperationsWithGrid( const bool& from_update ){
       }
       if( !found ) error("range does not bracket the dividing surface");
   }
-
-  // Clear the grid ready for next time
-  if( from_update ) mygrid->reset();
 }
 
 }
diff --git a/src/gridtools/GridFunction.cpp b/src/gridtools/GridFunction.cpp
index 1e719474bccf4502a8dbb89ae4843e268d9c0b05..9dc4c2fb2a1c7ba100bc25dc3ec1d1a9d3a62b19 100644
--- a/src/gridtools/GridFunction.cpp
+++ b/src/gridtools/GridFunction.cpp
@@ -20,6 +20,7 @@
    along with plumed.  If not, see <http://www.gnu.org/licenses/>.
 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */
 #include "GridFunction.h"
+#include "HistogramOnGrid.h"
 #include "ActionWithInputGrid.h"
 
 namespace PLMD {
@@ -32,6 +33,15 @@ void GridFunction::registerKeywords( Keywords& keys ){
 GridFunction::GridFunction( const vesselbase::VesselOptions& da ):
 GridVessel(da)
 {
+  ActionWithInputGrid* myfunc = dynamic_cast<ActionWithInputGrid*>( getAction() );
+  plumed_assert( myfunc ); nomemory=false;
+  if( (myfunc->mygrid)->nomemory ) nomemory=true; 
+
+  if( !nomemory ){
+     HistogramOnGrid* myhist = dynamic_cast<HistogramOnGrid*>( myfunc->mygrid );
+     if( myhist && (myfunc->mygrid)->foundprint && (!myfunc->single_run  || (myfunc->mygrid)->nomemory) ) error("cannot convert a histogram to a free energy after print");
+     else if( myhist ) (myfunc->mygrid)->foundprint=true;
+  }
 }
 
 void GridFunction::calculate( const unsigned& current, MultiValue& myvals, std::vector<double>& buffer, std::vector<unsigned>& der_list ) const {
@@ -40,14 +50,9 @@ void GridFunction::calculate( const unsigned& current, MultiValue& myvals, std::
   return;
 }
 
-
-void GridFunction::finish( const std::vector<double>& buffer ){
-  for(unsigned i=0;i<data.size();++i) data[i]+=buffer[bufstart + i];
-}
-
 void GridFunction::incorporateRestartDataIntoGrid( const double& old_norm, std::vector<double>& indata ){
   ActionWithInputGrid* myfunc = dynamic_cast<ActionWithInputGrid*>( getAction() );
-  std::vector<double> pin( nper ), pout( nper ); 
+  std::vector<double> pin( nper ), pout( nper ); setNorm( 1. + getNorm() / old_norm ); 
   for(unsigned i=0;i<getNumberOfPoints();++i){
       for(unsigned j=0;j<nper;++j) pin[j]=indata[i*nper+j];
       myfunc->invertTask( pin, pout ); 
diff --git a/src/gridtools/GridFunction.h b/src/gridtools/GridFunction.h
index 308d60cc3b0348c1b8867c5ade9b78e768d7bfbd..8bb3921803f8d0f78953d4960c8e01c1fd444f4c 100644
--- a/src/gridtools/GridFunction.h
+++ b/src/gridtools/GridFunction.h
@@ -19,8 +19,8 @@
    You should have received a copy of the GNU Lesser General Public License
    along with plumed.  If not, see <http://www.gnu.org/licenses/>.
 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */
-#ifndef __PLUMED_gridtools_HistogramOnGrid_h
-#define __PLUMED_gridtools_HistogramOnGrid_h
+#ifndef __PLUMED_gridtools_GridFunction_h
+#define __PLUMED_gridtools_GridFunction_h
 
 #include "GridVessel.h"
 
@@ -28,11 +28,11 @@ namespace PLMD {
 namespace gridtools {
 
 class GridFunction : public GridVessel {
+friend class PrintGrid;
 public:
   static void registerKeywords( Keywords& keys );
   explicit GridFunction( const vesselbase::VesselOptions& da );
   void calculate( const unsigned& current, MultiValue& myvals, std::vector<double>& buffer, std::vector<unsigned>& der_list ) const ;
-  void finish( const std::vector<double>& );
   bool applyForce(  std::vector<double>& forces ){ return false; }
   void incorporateRestartDataIntoGrid( const double& old_norm, std::vector<double>& indata );
 };
diff --git a/src/gridtools/GridVessel.cpp b/src/gridtools/GridVessel.cpp
index 091c0feed7286b9bd8328af755290bab57ff5d3b..ff614df739fb0fd16779c4539656a4cf6923fe7f 100644
--- a/src/gridtools/GridVessel.cpp
+++ b/src/gridtools/GridVessel.cpp
@@ -37,11 +37,11 @@ void GridVessel::registerKeywords( Keywords& keys ){
 
 GridVessel::GridVessel( const vesselbase::VesselOptions& da ):
 Vessel(da),
-noderiv(false),
 wascleared(true), 
 bounds_set(false),
 cube_units(1.0),
-norm(1)
+norm(0.0),
+noderiv(false)
 {
   std::vector<std::string> compnames; parseVector("COMPONENTS",compnames);
   std::vector<std::string> coordnames; parseVector("COORDINATES",coordnames);
@@ -201,14 +201,17 @@ double GridVessel::getGridElement( const unsigned& ipoint, const unsigned& jelem
   return data[ nper*ipoint + jelement ];
 }
 
+double GridVessel::getGridElementForPrint( const unsigned& ipoint, const unsigned& jelement ) const {
+  return getGridElement( ipoint, jelement );
+}
+
 void GridVessel::setGridElement( const unsigned& ipoint, const unsigned& jelement, const double& value ){
   plumed_dbg_assert( bounds_set && ipoint<npoints && jelement<nper );
   wascleared=false; data[ nper*ipoint + jelement ] = value;
 }
 
-void GridVessel::addToGridElement( const unsigned& ipoint, const unsigned& jelement, const double& value ){
-  plumed_dbg_assert( bounds_set && ipoint<npoints && jelement<nper );
-  wascleared=false; data[ nper*ipoint + jelement ] += value;
+void GridVessel::finish( const std::vector<double>& buffer ){
+  wascleared=false; for(unsigned i=0;i<data.size();++i) data[i]+=buffer[bufstart + i];
 }
 
 double GridVessel::getGridElement( const std::vector<unsigned>& indices, const unsigned& jelement ) const {
@@ -219,10 +222,6 @@ void GridVessel::setGridElement( const std::vector<unsigned>& indices, const uns
   setGridElement( getIndex( indices ), jelement, value );
 }
 
-void GridVessel::addToGridElement( const std::vector<unsigned>& indices, const unsigned& jelement, const double& value ){
-  addToGridElement( getIndex( indices ), jelement, value );
-}
-
 std::vector<std::string> GridVessel::getMin() const {
   plumed_dbg_assert( bounds_set ); return str_min;
 }
@@ -282,13 +281,12 @@ void GridVessel::getNeighbors( const std::vector<unsigned>& indices, const std::
 }
 
 void GridVessel::reset(){
-  if( !nomemory ) return ;
   wascleared=true; 
 }
 
 void GridVessel::clear(){
   plumed_assert( wascleared ); 
-  data.assign( data.size(), 0.0 );
+  norm=0.; data.assign( data.size(), 0.0 );
 }
 
 void GridVessel::setCubeUnits( const double& units ){
diff --git a/src/gridtools/GridVessel.h b/src/gridtools/GridVessel.h
index 58ee3dfc603b7201f52b373687fa3697a0b8ed52..ab976d65a1e41c750257f058f45e922c2694ec04 100644
--- a/src/gridtools/GridVessel.h
+++ b/src/gridtools/GridVessel.h
@@ -32,10 +32,10 @@ namespace gridtools {
 
 class GridVessel : public vesselbase::Vessel {
 friend class ActionWithInputGrid;
+friend class AverageOnGrid;
+friend class GridFunction;
 friend class PrintGrid;
 private:
-/// Do we have derivatives
- bool noderiv;
 /// The grid was recently cleared and bounds can be set
  bool wascleared;
 /// Have the minimum and maximum for the grid been set
@@ -55,6 +55,8 @@ private:
 /// The grid point that was requested last by getGridPointCoordinates
  unsigned currentGridPoint;
 protected:
+/// Do we have derivatives
+ bool noderiv;
 /// The names of the various columns in the grid file
  std::vector<std::string> arg_names; 
 /// The normalisation constant to use
@@ -102,12 +104,10 @@ public:
 
 /// Operations on one of the elements of grid point i
  void setGridElement( const unsigned&, const unsigned&, const double& );
- void addToGridElement( const unsigned&, const unsigned&, const double& );
 
 /// Operations on one of the elements of grid point specified by vector
  double getGridElement( const std::vector<unsigned>&, const unsigned& ) const ;
  void setGridElement( const std::vector<unsigned>&, const unsigned&, const double& );
- void addToGridElement( const std::vector<unsigned>&, const unsigned&, const double& );
 /// Set the size of the buffer equal to nper*npoints
  virtual void resize();
 /// Get the number of points in the grid
@@ -117,7 +117,7 @@ public:
 /// Get the dimensionality of the function
  unsigned getDimension() const ;
 /// Get the number of components in the vector stored on each grid point
- unsigned getNumberOfComponents() const ;
+ virtual unsigned getNumberOfComponents() const ;
 /// Is the grid periodic in the ith direction
  bool isPeriodic( const unsigned& i ) const ;
 /// Get the number of quantities we have stored at each grid point
@@ -134,6 +134,7 @@ public:
  double getCellVolume() const ;
 /// Get the value of the ith grid element 
  virtual double getGridElement( const unsigned&, const unsigned& ) const ;
+ virtual double getGridElementForPrint( const unsigned&, const unsigned& ) const ; 
 /// Get the set of points neighouring a particular location in space
  void getNeighbors( const std::vector<double>& pp, const std::vector<unsigned>& nneigh,
                     unsigned& num_neighbours, std::vector<unsigned>& neighbors ) const ;
@@ -146,10 +147,12 @@ public:
  const std::vector<double>& getGridSpacing() const ;
 /// Get the extent of the grid in one of the axis
  double getGridExtent( const unsigned& i ) const ;
+/// Copy data from an accumulated buffer into the grid
+ void finish( const std::vector<double>& );
 /// Clear all the data stored on the grid
  virtual void clear();
 /// Reset the grid so that it is cleared at start of next time it is calculated
- void reset();
+ virtual void reset();
 /// This ensures that Gaussian cube fies are in correct units
  void setCubeUnits( const double& units );
 /// This ensures that Gaussian cube files are in correct units
diff --git a/src/gridtools/HistogramOnGrid.cpp b/src/gridtools/HistogramOnGrid.cpp
index 1f4473ca44233d2cb94a88438fc1d698c8bde5b7..7632035c3307ea831274acda592b1c813858e66b 100644
--- a/src/gridtools/HistogramOnGrid.cpp
+++ b/src/gridtools/HistogramOnGrid.cpp
@@ -29,16 +29,15 @@ void HistogramOnGrid::registerKeywords( Keywords& keys ){
   GridVessel::registerKeywords( keys );
   keys.add("compulsory","KERNEL","the type of kernel to use");
   keys.add("compulsory","BANDWIDTH","the bandwidths");
-  keys.addFlag("AVERAGE",false,"are we computed a weighted average over the grid");
 }
 
 HistogramOnGrid::HistogramOnGrid( const vesselbase::VesselOptions& da ):
 GridVessel(da),
+noreadin(true),
+save_norm(0.0), 
 bandwidths(dimension),
 discrete(false)
 {
-  parseFlag("AVERAGE",average);
-
   parse("KERNEL",kerneltype); 
   if( kerneltype=="discrete" || kerneltype=="DISCRETE" ){
       discrete=true; setNoDerivatives();
@@ -62,8 +61,10 @@ void HistogramOnGrid::setBounds( const std::vector<std::string>& smin, const std
 
 void HistogramOnGrid::calculate( const unsigned& current, MultiValue& myvals, std::vector<double>& buffer, std::vector<unsigned>& der_list ) const {
   plumed_dbg_assert( myvals.getNumberOfValues()==dimension+2 );
-  // Create a kernel function at the point of interest
-  std::vector<double> point( dimension ); double weight=myvals.get(0)*myvals.get( 1+dimension );
+  // This deals with restarts with memory weights are set equal to 1 / pre_norm
+  double winorm=1.0; if( save_norm>0. ) winorm = 1. / save_norm; 
+
+  std::vector<double> point( dimension ); double weight=winorm*myvals.get(0)*myvals.get( 1+dimension );
   for(unsigned i=0;i<dimension;++i) point[i]=myvals.get( 1+i );
 
   if( discrete ){
@@ -102,17 +103,19 @@ void HistogramOnGrid::accumulate( const unsigned& ipoint, const double& weight,
   if( der.size()>0 ) for(unsigned j=0;j<dimension;++j) buffer[bufstart+nper*ipoint + 1 + j] += weight*der[j]; 
 }
 
+void HistogramOnGrid::reset(){
+  GridVessel::reset(); 
+  if( noreadin && !nomemory ) save_norm=getNorm(); 
+}
+
 double HistogramOnGrid::getGridElement( const unsigned& ipoint, const unsigned& jelement ) const {
   if( unormalised ) return GridVessel::getGridElement( ipoint, jelement );
   return GridVessel::getGridElement( ipoint, jelement ) / norm;
 } 
 
-void HistogramOnGrid::finish( const std::vector<double>& buffer ){
-  for(unsigned i=0;i<data.size();++i) data[i]+=buffer[bufstart + i];
-}
-
 void HistogramOnGrid::incorporateRestartDataIntoGrid( const double& old_norm, std::vector<double>& indata ){
-  plumed_assert( data.size()==indata.size() ); 
+  plumed_assert( data.size()==indata.size() && !nomemory ); noreadin=false; 
+  save_norm = old_norm + getNorm(); if( old_norm>0 ) setNorm( 1. + getNorm() / old_norm ); 
   if( unormalised ) for(unsigned i=0;i<data.size();++i) data[i] = old_norm*data[i] + indata[i]; 
   else for(unsigned i=0;i<data.size();++i) data[i] += indata[i]; 
 }
diff --git a/src/gridtools/HistogramOnGrid.h b/src/gridtools/HistogramOnGrid.h
index af66f50249203d84da9ff20eefbc5d8288d6f633..d90d92374f76c92052d440cc562f714e54049097 100644
--- a/src/gridtools/HistogramOnGrid.h
+++ b/src/gridtools/HistogramOnGrid.h
@@ -29,7 +29,8 @@ namespace gridtools {
 
 class HistogramOnGrid : public GridVessel {
 private:
-  bool average;
+  bool noreadin;
+  double save_norm;
   std::string kerneltype;
   std::vector<double> bandwidths;
   std::vector<unsigned> nneigh;
@@ -42,9 +43,9 @@ public:
                   const std::vector<unsigned>& nbins, const std::vector<double>& spacing );
   void calculate( const unsigned& current, MultiValue& myvals, std::vector<double>& buffer, std::vector<unsigned>& der_list ) const ;
   virtual void accumulate( const unsigned& ipoint, const double& weight, const double& dens, const std::vector<double>& der, std::vector<double>& buffer ) const ;
-  virtual void finish( const std::vector<double>& );
   virtual double getGridElement( const unsigned& ipoint, const unsigned& jelement ) const ;
   bool applyForce(  std::vector<double>& forces ){ return false; }
+  void reset();
   void incorporateRestartDataIntoGrid( const double& old_norm, std::vector<double>& indata );
 };
 
diff --git a/src/gridtools/InterpolateGrid.cpp b/src/gridtools/InterpolateGrid.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..95ae5ef480340dbf4bd1c43c7bd317947ac28b49
--- /dev/null
+++ b/src/gridtools/InterpolateGrid.cpp
@@ -0,0 +1,112 @@
+/* +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+   Copyright (c) 2011-2015 The plumed team
+   (see the PEOPLE file at the root of the distribution for a list of names)
+
+   See http://www.plumed-code.org for more information.
+
+   This file is part of plumed, version 2.
+
+   plumed is free software: you can redistribute it and/or modify
+   it under the terms of the GNU Lesser General Public License as published by
+   the Free Software Foundation, either version 3 of the License, or
+   (at your option) any later version.
+
+   plumed 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 Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public License
+   along with plumed.  If not, see <http://www.gnu.org/licenses/>.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */
+#include "core/ActionRegister.h"
+#include "core/PlumedMain.h"
+#include "core/Atoms.h"
+#include "ActionWithInputGrid.h"
+#include "GridFunction.h"
+
+//+PLUMEDOC GRIDANALYSIS INTERPOLATE_GRID
+/*
+Interpolate a smooth function stored on a grid onto a grid with a smaller grid spacing.
+
+\par Examples
+
+*/
+//+ENDPLUMEDOC
+
+namespace PLMD {
+namespace gridtools {
+
+class InterpolateGrid : public ActionWithInputGrid {
+private:
+  std::vector<unsigned> nbin;
+  std::vector<double> gspacing;
+  GridFunction* outgrid;
+public:
+  static void registerKeywords( Keywords& keys );
+  explicit InterpolateGrid(const ActionOptions&ao);
+  void performOperationsWithGrid( const bool& from_update );
+  unsigned getNumberOfDerivatives(){ return 0; }
+  unsigned getNumberOfQuantities() const ;
+  void performTask( const unsigned& task_index, const unsigned& current, MultiValue& myvals ) const ;
+  bool isPeriodic(){ return false; }
+};
+
+PLUMED_REGISTER_ACTION(InterpolateGrid,"INTERPOLATE_GRID")
+
+void InterpolateGrid::registerKeywords( Keywords& keys ){
+  ActionWithInputGrid::registerKeywords( keys );
+  keys.reset_style("STRIDE","hidden"); keys.remove("USE_ALL_DATA");
+  keys.add("optional","GRID_BIN","the number of bins for the grid");
+  keys.add("optional","GRID_SPACING","the approximate grid spacing (to be used as an alternative or together with GRID_BIN)");
+}
+
+InterpolateGrid::InterpolateGrid(const ActionOptions&ao):
+Action(ao),
+ActionWithInputGrid(ao)
+{
+  plumed_assert( mygrid->getNumberOfComponents()==1 );
+  if( mygrid->noDerivatives() ) error("cannot interpolate a grid that does not have derivatives"); 
+  // Create the input from the old string
+  std::string vstring = "COMPONENTS=" + getLabel() + " " + mygrid->getInputString();
+
+  // Create a grid
+  vesselbase::VesselOptions da("mygrid","",-1,vstring,this);
+  Keywords keys; GridFunction::registerKeywords( keys );
+  vesselbase::VesselOptions dar( da, keys );
+  outgrid = new GridFunction(dar); addVessel( outgrid ); 
+
+  parseVector("GRID_BIN",nbin); parseVector("GRID_SPACING",gspacing);
+  if( nbin.size()!=mygrid->getDimension() && gspacing.size()!=mygrid->getDimension() ){
+      error("GRID_BIN or GRID_SPACING must be set");
+  } 
+  outgrid->setBounds( mygrid->getMin(), mygrid->getMax(), nbin, gspacing ); 
+  resizeFunctions();
+
+  // Now create task list
+  for(unsigned i=0;i<outgrid->getNumberOfPoints();++i) addTaskToList(i);
+  // And activate all tasks
+  deactivateAllTasks(); 
+  for(unsigned i=0;i<outgrid->getNumberOfPoints();++i) taskFlags[i]=1;
+  lockContributors();
+}
+
+unsigned InterpolateGrid::getNumberOfQuantities() const {
+  return 2 + mygrid->getDimension();
+}
+
+void InterpolateGrid::performOperationsWithGrid( const bool& from_update ){
+  outgrid->setBounds( mygrid->getMin(), mygrid->getMax(), nbin, gspacing );
+  outgrid->clear(); outgrid->setNorm( mygrid->getNorm() ); runAllTasks(); 
+}
+
+void InterpolateGrid::performTask( const unsigned& task_index, const unsigned& current, MultiValue& myvals ) const {
+  std::vector<double> pos( mygrid->getDimension() ); outgrid->getGridPointCoordinates( current, pos );
+  std::vector<double> der( mygrid->getDimension() ); double val = getFunctionValueAndDerivatives( pos, der );
+  myvals.setValue( 0, 1.0 ); myvals.setValue(1, val ); 
+  printf("HELLO GAREHT %d %f %f \n",current,pos[0], val );
+  for(unsigned i=0;i<mygrid->getDimension();++i) myvals.setValue( 2+i, der[i] ); 
+}
+
+}
+}
diff --git a/src/gridtools/PrintCube.cpp b/src/gridtools/PrintCube.cpp
index c268c970b03a0265dbe9315ba4f4f531e4ac829f..09c5b9a2f0acdde3449805ba6f668d7361b4aa2c 100644
--- a/src/gridtools/PrintCube.cpp
+++ b/src/gridtools/PrintCube.cpp
@@ -52,9 +52,8 @@ ActionWithInputGrid(ao),
 fmt("%f")
 {
   if( mygrid->getDimension()!=3 ) error("cannot print cube file if grid does not contain three dimensional data");
-  if( mygrid->getNumberOfComponents()!=1 ) error("cannot print cube file if data on grid is a vector field");
 
-  parse("FMT",fmt); fmt=" "+fmt; parse("FILE",filename); 
+  parse("FMT",fmt); fmt=fmt +" "; parse("FILE",filename); 
   if(filename.length()==0) error("name out output file was not specified");
   log.printf("  outputting grid to file named %s with format %s \n",filename.c_str(), fmt.c_str() );
 
@@ -72,7 +71,7 @@ void PrintCube::performOperationsWithGrid( const bool& from_update ){
   ofile.printf("PLUMED CUBE FILE\n");
   ofile.printf("OUTER LOOP: X, MIDDLE LOOP: Y, INNER LOOP: Z\n");
   // Number of atoms followed by position of origin (origin set so that center of grid is in center of cell)
-  std::string ostr = "%d" + fmt + fmt + fmt + "\n";
+  std::string ostr = "%d " + fmt + fmt + fmt + "\n";
   ofile.printf(ostr.c_str(),1,-0.5*lunit*mygrid->getGridExtent(0),-0.5*lunit*mygrid->getGridExtent(1),-0.5*lunit*mygrid->getGridExtent(2));
   ofile.printf(ostr.c_str(),mygrid->getNbin()[0],lunit*mygrid->getGridSpacing()[0],0.0,0.0);  // Number of bins in each direction followed by 
   ofile.printf(ostr.c_str(),mygrid->getNbin()[1],0.0,lunit*mygrid->getGridSpacing()[1],0.0);  // shape of voxel
@@ -82,7 +81,7 @@ void PrintCube::performOperationsWithGrid( const bool& from_update ){
   for(pp[0]=0;pp[0]<nbin[0];++pp[0]){
       for(pp[1]=0;pp[1]<nbin[1];++pp[1]){
           for(pp[2]=0;pp[2]<nbin[2];++pp[2]){
-              ofile.printf(fmt.c_str(),mygrid->getGridElement( pp, 0 ) );
+              ofile.printf(fmt.c_str(), getFunctionValue(pp) );
               if(pp[2]%6==5) ofile.printf("\n");
           }
           ofile.printf("\n");
@@ -90,8 +89,6 @@ void PrintCube::performOperationsWithGrid( const bool& from_update ){
   }
 
   ofile.close();
-  // Clear the grid ready for next time
-  if( from_update ) mygrid->reset();
 }
 
 }
diff --git a/src/gridtools/PrintGrid.cpp b/src/gridtools/PrintGrid.cpp
index 861e45879a0fe3b6c517845acdbd3a0b95dc96ac..3bb6c1bedfa50e1761969f10b3d5f87fd48390aa 100644
--- a/src/gridtools/PrintGrid.cpp
+++ b/src/gridtools/PrintGrid.cpp
@@ -21,6 +21,8 @@
 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */
 #include "ActionWithInputGrid.h"
 #include "core/ActionRegister.h"
+#include "GridFunction.h"
+#include "AverageOnGrid.h"
 #include "tools/IFile.h"
 #include "tools/OFile.h"
 
@@ -29,6 +31,7 @@ namespace gridtools {
 
 class PrintGrid : public ActionWithInputGrid {
 private:
+  bool printav;
   std::string fmt, filename;
 public:
   static void registerKeywords( Keywords& keys );
@@ -47,19 +50,31 @@ void PrintGrid::registerKeywords( Keywords& keys ){
   ActionWithInputGrid::registerKeywords( keys );
   keys.add("compulsory","FILE","density","the file on which to write the grid."); 
   keys.add("optional","FMT","the format that should be used to output real numbers");
+  keys.addFlag("PRINT_AVERAGE",false,"if your input is a \\ref MULTICOLVARDENS output the average in the grid file. This option can only be used with USE_ALL_DATA/NOMEMORY");
 }
 
 PrintGrid::PrintGrid(const ActionOptions&ao):
 Action(ao),
 ActionWithInputGrid(ao),
+printav(false),
 fmt("%f")
 {
-  // This ensures that restarting of grids works with NOMEMORY
+  // This ensures that restarting of grids works with memory
   mygrid->foundprint=true;
+  GridFunction* mygf = dynamic_cast<GridFunction*> ( mygrid );
+  if( mygf ){
+      ActionWithInputGrid* ming = dynamic_cast<ActionWithInputGrid*>( mygf->getAction() );
+      plumed_assert( ming ); (ming->mygrid)->foundprint=true; 
+  }
+  AverageOnGrid* myav = dynamic_cast<AverageOnGrid*>( mygrid );
+  if( myav ){
+     parseFlag("PRINT_AVERAGE",printav);
+     if( printav && !mygrid->nomemory && !single_run ) error("cannot use PRINT_AVERAGE flag if you are outputting with a stride");
+   }
+
   parse("FMT",fmt); fmt=" "+fmt; parse("FILE",filename); 
   if(filename.length()==0) error("name out output file was not specified");
   log.printf("  outputting grid to file named %s with format %s \n",filename.c_str(), fmt.c_str() );
-
   checkRead();
 }
 
@@ -68,6 +83,7 @@ void PrintGrid::performOperationsWithGrid( const bool& from_update ){
 
   // Read in the old grid and ensure that it is considered
   if( from_update && !mygrid->nomemory ){
+     if( mygrid->wasreset() ) error("grid must be printed in action immediately after it is calculated");
      IFile oldf; oldf.link(*this);
      if( oldf.FileExist(filename) ){
          oldf.open(filename);
@@ -104,15 +120,20 @@ void PrintGrid::performOperationsWithGrid( const bool& from_update ){
      // Retrieve and print the grid coordinates
      mygrid->getGridPointCoordinates(i, xx ); 
      for(unsigned j=0;j<mygrid->getDimension();++j){ ofile.fmtField(fmt); ofile.printField(mygrid->getComponentName(j),xx[j]); }
-     for(unsigned j=0;j<mygrid->getNumberOfQuantities();++j){ 
-        ofile.fmtField(fmt); ofile.printField(mygrid->arg_names[mygrid->dimension+j], mygrid->getGridElement( i, j ) );  
+     if( printav ){
+        unsigned nnorm=mygrid->dimension+1; if( mygrid->noderiv ) nnorm=1;
+        for(unsigned j=0;j<mygrid->getNumberOfQuantities()-nnorm;++j){
+           ofile.fmtField(fmt); ofile.printField(mygrid->arg_names[mygrid->dimension+j], mygrid->getGridElement( i, j ) );
+        }
+     } else {
+        for(unsigned j=0;j<mygrid->getNumberOfQuantities();++j){ 
+           ofile.fmtField(fmt); ofile.printField(mygrid->arg_names[mygrid->dimension+j], mygrid->getGridElementForPrint( i, j ) );  
+        }
      }
      ofile.printField();
   }
 
   ofile.close();
-  // Clear the grid ready for next time
-  if( from_update ) mygrid->reset();
 }
 
 void PrintGrid::readGridFile( IFile& ifile ){
@@ -125,7 +146,7 @@ void PrintGrid::readGridFile( IFile& ifile ){
       if( min!=mygrid->str_max[i] ) error("maximum of grid in restart file does not match stored minimum");
       ifile.scanField("periodic_" + mygrid->arg_names[i], min );
       if( mygrid->pbc[i] && min!="true" ) error("periodicity of grid in restart file does not match stored periodicity");
-      else if( mygrid->pbc[i] && min!="false" ) error("periodicity of grid in restart file does not match stored periodicity");
+      else if( !mygrid->pbc[i] && min!="false" ) error("periodicity of grid in restart file does not match stored periodicity");
       ifile.scanField("nbins_" + mygrid->arg_names[i], nb );
       if( mygrid->pbc[i] && nb!=mygrid->nbin[i] ) error("number of bins in restart file does not match stored number of bins");
       else if( !mygrid->pbc[i] && (nb+1)!=mygrid->nbin[i] ) error("number of bins in restart file does not match stored number of bins");
@@ -157,6 +178,11 @@ void PrintGrid::readGridFile( IFile& ifile ){
      ifile.scanField();
   }
   mygrid->incorporateRestartDataIntoGrid( old_norm, indata );
+  GridFunction* mygf = dynamic_cast<GridFunction*> ( mygrid );
+  if( mygf ){
+      ActionWithInputGrid* ming=dynamic_cast<ActionWithInputGrid*>( mygrid->getAction() );
+      plumed_assert( ming ); mygrid->reset(); ming->performOperationsWithGrid( true );
+  }
 }
 
 }
diff --git a/src/multicolvar/MultiColvarDensity.cpp b/src/multicolvar/MultiColvarDensity.cpp
index 91a6839d81052052072b98077c706658219417ea..8b4b6f713d8e094a4ada31aed6b4d16a3418c87a 100644
--- a/src/multicolvar/MultiColvarDensity.cpp
+++ b/src/multicolvar/MultiColvarDensity.cpp
@@ -34,6 +34,7 @@
 #include "tools/KernelFunctions.h"
 #include "vesselbase/ActionWithInputVessel.h"
 #include "gridtools/HistogramOnGrid.h"
+#include "gridtools/AverageOnGrid.h"
 #include "vesselbase/StoreDataVessel.h"
 
 using namespace std;
@@ -99,9 +100,9 @@ class MultiColvarDensity :
   public vesselbase::ActionWithInputVessel
 {
   std::string kerneltype;
-  bool fractional;
+  bool nomemory, fractional, single_run;
   unsigned rstride;
-  MultiColvarBase* mycolv; 
+  MultiColvarBase* mycolv;
   std::vector<unsigned> nbins;
   std::vector<double> gspacing;
   std::vector<bool> confined;
@@ -118,6 +119,7 @@ public:
   void calculateNumericalDerivatives( ActionWithValue* a=NULL ){ plumed_error(); }
   bool isPeriodic(){ return false; }
   unsigned getNumberOfDerivatives(){ return 0; }
+  void setAnalysisStride( const bool& use_all, const unsigned& astride ){ single_run=use_all; }
   void performTask( const unsigned& , const unsigned& , MultiValue& ) const ;
   void apply(){}
   void update();
@@ -164,7 +166,8 @@ MultiColvarDensity::MultiColvarDensity(const ActionOptions&ao):
   ActionPilot(ao),
   ActionAtomistic(ao),
   ActionWithVessel(ao),
-  ActionWithInputVessel(ao)
+  ActionWithInputVessel(ao),
+  single_run(true)
 {
 
   std::vector<AtomNumber> atom;
@@ -256,18 +259,20 @@ MultiColvarDensity::MultiColvarDensity(const ActionOptions&ao):
     else if( directions[i]==1 ) vstring+=",y";
     else if( directions[i]==2 ) vstring+=",z";
   }
-  bool nomemory; parseFlag("NOMEMORY",nomemory);
+  parseFlag("NOMEMORY",nomemory);
   if( nomemory ) vstring += " NOMEMORY";
 
   bool sumflag; parseFlag("UNORMALIZED",sumflag);
-  if( mycolv->isDensity() && sumflag ) error("input is a DENSITY so the UNORMALIZED flag makes no sense");
-  if( !mycolv->isDensity() && !sumflag ) vstring += " AVERAGE";
+  if( sumflag ) vstring += " UNORMALIZED";
   // Create a task list
   for(unsigned i=0;i<mycolv->getFullNumberOfTasks();++i) addTaskToList(i);
   vesselbase::VesselOptions da("mygrid","",-1,vstring,this);
-  Keywords keys; gridtools::HistogramOnGrid::registerKeywords( keys );
+  Keywords keys; gridtools::AverageOnGrid::registerKeywords( keys );
   vesselbase::VesselOptions dar( da, keys );
-  mygrid = new gridtools::HistogramOnGrid(dar); addVessel( mygrid );
+  if( mycolv->isDensity() ){
+     mygrid = new gridtools::HistogramOnGrid(dar); mygrid->setNorm(0);
+  } else mygrid = new gridtools::AverageOnGrid(dar); 
+  addVessel( mygrid );
 
   // Enusre units for cube files are set correctly
   if( !fractional ){
@@ -285,6 +290,8 @@ unsigned MultiColvarDensity::getNumberOfQuantities() const {
 }
 
 void MultiColvarDensity::update(){
+  if( !single_run && getStep()==0 ) return;
+
   if( mygrid->wasreset() ){
      std::vector<double> min(directions.size()), max(directions.size());
      std::vector<std::string> gmin(directions.size()), gmax(directions.size());;
@@ -318,6 +325,7 @@ void MultiColvarDensity::update(){
   lockContributors();
   // Now perform All Tasks
   origin = getPosition(0);
+  if( mycolv->isDensity() ) mygrid->setNorm( 1. + mygrid->getNorm() );
   runAllTasks();  
 }
 
@@ -326,8 +334,7 @@ void MultiColvarDensity::performTask( const unsigned& tindex, const unsigned& cu
   Vector fpos, apos = pbcDistance( origin, mycolv->getCentralAtomPos( mycolv->getActiveTask(current) ) );
   if( fractional ){ fpos = getPbc().realToScaled( apos ); } else { fpos=apos; }
 
-  myvals.setValue( 0, cvals[0] );
-  for(unsigned j=0;j<directions.size();++j) myvals.setValue( 1+j, fpos[ directions[j] ] );
+  myvals.setValue( 0, cvals[0] ); for(unsigned j=0;j<directions.size();++j) myvals.setValue( 1+j, fpos[ directions[j] ] );
   myvals.setValue( 1+directions.size(), cvals[1] );
 }