From 02b47a4501ae4f84cc6223197e9f657a309bcc56 Mon Sep 17 00:00:00 2001
From: Gareth Tribello <gareth.tribello@gmail.com>
Date: Mon, 28 Mar 2016 12:03:15 +0100
Subject: [PATCH] Improved documentation for CenterOfMultiColvar and added
 further regtest

---
 regtest/multicolvar/rt-center2/Makefile       |   1 +
 .../rt-center2/cluster-com.xyz.reference      |   3 +
 regtest/multicolvar/rt-center2/config         |   3 +
 .../multicolvar/rt-center2/forces.reference   | 514 ++++++++++++++++++
 regtest/multicolvar/rt-center2/gas-one.xyz    | 514 ++++++++++++++++++
 regtest/multicolvar/rt-center2/plumed.dat     |   7 +
 src/multicolvar/CenterOfMultiColvar.cpp       |  16 +-
 7 files changed, 1049 insertions(+), 9 deletions(-)
 create mode 100644 regtest/multicolvar/rt-center2/Makefile
 create mode 100644 regtest/multicolvar/rt-center2/cluster-com.xyz.reference
 create mode 100644 regtest/multicolvar/rt-center2/config
 create mode 100644 regtest/multicolvar/rt-center2/forces.reference
 create mode 100644 regtest/multicolvar/rt-center2/gas-one.xyz
 create mode 100644 regtest/multicolvar/rt-center2/plumed.dat

diff --git a/regtest/multicolvar/rt-center2/Makefile b/regtest/multicolvar/rt-center2/Makefile
new file mode 100644
index 000000000..3703b27ce
--- /dev/null
+++ b/regtest/multicolvar/rt-center2/Makefile
@@ -0,0 +1 @@
+include ../../scripts/test.make
diff --git a/regtest/multicolvar/rt-center2/cluster-com.xyz.reference b/regtest/multicolvar/rt-center2/cluster-com.xyz.reference
new file mode 100644
index 000000000..aaea6d6ec
--- /dev/null
+++ b/regtest/multicolvar/rt-center2/cluster-com.xyz.reference
@@ -0,0 +1,3 @@
+1
+  100.00000  100.00000  100.00000
+X  -32.49020  -15.54439  -42.62705
diff --git a/regtest/multicolvar/rt-center2/config b/regtest/multicolvar/rt-center2/config
new file mode 100644
index 000000000..df8d59a9f
--- /dev/null
+++ b/regtest/multicolvar/rt-center2/config
@@ -0,0 +1,3 @@
+type=driver
+# this is to test a different name
+arg="--plumed plumed.dat --ixyz gas-one.xyz --dump-forces forces --dump-forces-fmt=%8.4f"
diff --git a/regtest/multicolvar/rt-center2/forces.reference b/regtest/multicolvar/rt-center2/forces.reference
new file mode 100644
index 000000000..4d74a0c6b
--- /dev/null
+++ b/regtest/multicolvar/rt-center2/forces.reference
@@ -0,0 +1,514 @@
+512
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diff --git a/regtest/multicolvar/rt-center2/gas-one.xyz b/regtest/multicolvar/rt-center2/gas-one.xyz
new file mode 100644
index 000000000..efb861494
--- /dev/null
+++ b/regtest/multicolvar/rt-center2/gas-one.xyz
@@ -0,0 +1,514 @@
+512
+ 100. 100. 100.
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+ Ar       69.300003       79.690002       38.279999
+ Ar       70.650009       91.070007       46.639999
+ Ar       63.390003       75.330002       53.120003
+ Ar       53.060001       55.270004      103.960007
+ Ar       64.690002       88.460007       55.910000
+ Ar       79.850006       76.390007       57.220001
+ Ar       78.810005       88.070000       47.490002
+ Ar       70.580002       85.250008       58.340000
+ Ar       68.480003       73.720001       60.200005
+ Ar       61.790005       76.450005       61.460003
+ Ar       51.150002       74.430000      100.540009
+ Ar       53.630005       81.129997       54.190002
+ Ar       18.360001        8.260000      101.470001
+ Ar       67.110001       99.330002       35.660004
+ Ar       56.570000       75.710007       53.840004
+ Ar       60.470005       86.690002       74.150002
+ Ar       64.940002       90.910004       41.860004
+ Ar       52.490002       85.290001       49.370003
+ Ar       75.060005       91.580002       52.360001
+ Ar       63.740002       94.080002       63.330002
+ Ar       62.450005       89.130005       66.350006
+ Ar       71.250008        4.160000        2.530000
+ Ar       59.000000       84.770004       71.250008
+ Ar       62.450005       92.360001       69.260002
+ Ar       87.910004       88.650009       65.830002
+ Ar       56.450005       87.940002       51.170002
+ Ar       72.440002       76.960007       46.180000
+ Ar       72.150002       83.380005       61.100002
+ Ar       81.800003       85.200005       66.390007
+ Ar       70.860001       92.020004       66.990005
+ Ar       78.100006       91.370003       66.099998
+ Ar       65.460007       89.790001       45.600006
+ Ar       32.160000       32.870003       11.700001
+ Ar        9.930000       48.790001       74.690002
+ Ar       82.020004       83.680000       62.790001
+ Ar       60.570000       80.550003       53.640003
+ Ar       67.680000       81.990005       40.770000
+ Ar       70.540001      101.230003       58.880005
+ Ar       25.770000       75.800003       82.720001
+ Ar       69.870003       69.000000       63.760002
+ Ar       56.889999       79.500000       60.910000
+ Ar       70.650009       76.200005       69.709999
+ Ar      100.470009       48.100006       96.610001
+ Ar       78.100006       85.810005       65.260002
+ Ar       56.440002       84.680008       43.040005
+ Ar       65.230003       74.380005       58.070000
+ Ar       61.220001       84.910004       46.530003
+ Ar       92.440002       83.940002       44.630005
+ Ar       57.610001       80.760002       71.180008
+ Ar       92.590012       41.870003      102.070007
+ Ar       44.730000       83.480003       23.380001
+ Ar       60.100002       83.200005       56.730003
+ Ar       62.380005       74.140007       65.570000
+ Ar       71.730003       86.559998       46.770000
+ Ar       65.720001       78.540009       58.870003
+ Ar       67.590004       81.139999       52.350002
+ Ar       81.210007       97.310013       52.580002
+ Ar       79.480003       93.120003       53.760002
+ Ar       71.450005       86.800003       50.430000
+ Ar       72.850006       95.480003       68.139999
+ Ar       61.450005       79.630005       65.190002
+ Ar       59.720001       96.279999       51.760002
+ Ar       60.300003       86.940002       15.510001
+ Ar       71.360001       70.980003       53.620003
+ Ar       56.150002       91.630005       63.320004
+ Ar       72.740005       73.210007       57.780003
+ Ar       77.790001       81.210007       48.470001
+ Ar       35.230003       61.990005       41.560001
+ Ar       73.820007       98.760002       66.060005
+ Ar       65.250000       76.450005       61.690002
+ Ar       69.980003       95.639999       55.930004
+ Ar       72.330002       89.210007       53.020000
+ Ar       68.310005       89.050003       54.270000
+ Ar       73.540009       94.610001       61.190002
+ Ar       65.660004       79.530006       47.350002
+ Ar       34.800003       58.960003       15.180001
+ Ar       66.070007       70.330002       59.240002
+ Ar       44.510002        1.950000       24.750002
+ Ar       67.020004       98.919998       48.370003
+ Ar       69.500000       87.120010       44.060001
+ Ar       69.040001       53.890003        2.150000
+ Ar       56.180000       78.730003       47.299999
+ Ar       64.310005       94.730003       54.120003
+ Ar       77.370003       85.350006       53.270000
+ Ar       65.040001       85.860001       71.200005
+ Ar       44.050003       35.450001       50.690002
+ Ar       50.490002       40.490002      104.860001
+ Ar       77.800003       82.610008       66.889999
+ Ar       59.750004       85.810005       43.360004
+ Ar       96.480011       29.030001       64.140007
+ Ar       50.040001       90.440002       17.330000
+ Ar       62.940002       78.680008       72.260002
+ Ar       72.460007       89.090004       56.470001
+ Ar       62.550003       92.920006       50.380001
+ Ar       82.420006       74.330002       54.700005
+ Ar       59.770004       81.520004       68.080002
+ Ar       64.989998       82.000008       55.970001
+ Ar       75.020004       88.209999       46.550003
+ Ar       65.760002       81.160004       71.029999
+ Ar       70.840004       73.680008       66.300003
+ Ar       66.120003       91.410004       59.760002
+ Ar       67.300003       84.599998       56.880001
+ Ar       69.350006        4.600000       23.440001
+ Ar       74.300003       99.889999       59.830002
+ Ar       79.150002       81.730003       53.260002
+ Ar       64.090004       81.450005       52.470001
+ Ar       32.750000        4.700000       61.900002
+ Ar       63.970001       98.770004       53.220001
+ Ar       65.540001       97.450012       63.030006
+ Ar       60.360001       90.729996       57.350002
+ Ar       64.730003       73.750008       48.850002
+ Ar       75.340004       87.510002       50.630001
+ Ar       72.100006       64.090004       80.500000
+ Ar       56.950001       79.470001       54.000000
+ Ar       55.300003       78.070000       64.130005
+ Ar       97.220001       73.599998       23.430002
+ Ar       71.650002       13.330001       48.670002
+ Ar       62.740002       88.060005       43.080002
+ Ar       59.389999       82.570000       44.660000
+ Ar       68.700005       81.760010       48.890003
+ Ar       67.240005       79.290001       68.130005
+ Ar       70.350006       86.139999       71.419998
+ Ar       64.370003       76.020004       74.620003
+ Ar       20.840000       99.780006       55.970001
+ Ar       60.200005       75.020004       48.240005
+ Ar       90.779999       74.320000       60.330006
+ Ar       53.940002       87.389999       71.099998
+ Ar       56.650005       72.910004       60.670006
+ Ar       11.910001       60.930004        9.320001
+ Ar       54.800003       76.190002       60.970001
+ Ar       71.730003      104.820007       37.760002
+ Ar       56.870003       93.200005       66.300003
+ Ar       58.490005       92.750008       51.390003
+ Ar       61.930004       83.670006       54.200001
+ Ar       71.980003       82.529999       56.180000
+ Ar       73.440002       93.639999       64.680008
+ Ar       39.100002       12.590000       94.440002
+ Ar        1.630000       15.840001       84.809998
+ Ar       61.270004       88.550003       46.330002
+ Ar       49.070000       93.900002       31.220001
+ Ar       76.910004       41.910000      101.740005
+ Ar       68.930000       99.110001       64.380005
+ Ar       65.790009       91.760010       52.160000
+ Ar       67.669998      100.820007       56.680000
+ Ar       78.190002       79.630005       55.849998
+ Ar       63.710003       75.880005       78.250000
+ Ar       52.170006       73.740005       49.590000
+ Ar       63.760002       83.910004       44.200001
+ Ar       54.320000       38.720001       23.460003
+ Ar      103.470001       67.610001       52.970005
+ Ar       64.800003       89.450005       69.220001
+ Ar       60.240002       86.430008       67.010002
+ Ar       59.300003       90.210007       61.580006
+ Ar       93.489998       55.260006       38.600002
+ Ar       71.590004       75.920006       60.520004
+ Ar       70.970001       81.770004       64.080002
+ Ar       61.240002       87.060005       56.020004
+ Ar       55.330006       77.650002       57.650002
+ Ar       72.209999       93.380005       50.950005
+ Ar       66.930000       84.760010       60.560001
+ Ar       62.710003       83.130005       69.620003
+ Ar       57.810001       88.559998       47.590004
+ Ar       20.840000       30.210001       40.520000
+ Ar       80.510010       93.580009       58.430004
+ Ar       55.450001       59.720001       50.950005
+ Ar       73.180000       77.050003       57.400002
+ Ar        6.730000       61.410004       43.850002
+ Ar       79.480003       60.670006       54.900002
+ Ar       67.750000       70.580002       66.590004
+ Ar       68.680008       72.930000       63.520004
+ Ar       64.889999       83.150009       48.330002
+ Ar       80.330002       92.780006       47.360001
+ Ar       87.000008       47.230000        3.230000
+ Ar       82.350006       74.790009       51.290001
+ Ar       82.090004       11.170001       87.910004
+ Ar       71.750000       75.480003       49.730000
+ Ar       77.770004       87.760002       68.599998
+ Ar       65.270004       99.030006       39.110001
+ Ar       73.500000       78.389999       51.510002
+ Ar       62.740002       87.090004       63.100006
+ Ar       80.660004       67.080002       93.489998
+ Ar       43.100006       58.470001       35.930000
+ Ar       61.900002       79.639999       57.020000
+ Ar       65.990005       78.290009       50.960003
+ Ar       48.800003       29.120003       52.980003
+ Ar       60.920006       85.830002       39.270004
+ Ar       60.210003       72.820007       62.850002
+ Ar       67.510002       80.330002       63.980003
+ Ar       28.580000       42.169998        4.820000
+ Ar       80.420006       83.320007       46.630001
+ Ar       64.090004       83.930008       62.510002
+ Ar       70.880005       96.930008       62.420002
+ Ar       91.030006       89.610001        0.300000
+ Ar       75.410004       88.660004       59.920002
+ Ar       67.710007       93.220001       70.400002
+ Ar       64.870003       78.630005       54.680004
+ Ar       60.110001       76.950005       55.350002
+ Ar       58.720001       97.740005       58.770004
+ Ar       78.750008       74.990005       54.170002
+ Ar       74.360001       80.420006       62.440002
+ Ar       54.900002       82.540009       50.030003
+ Ar       69.070007       72.420006       56.260002
+ Ar       70.020004       83.710007       67.110001
+ Ar       74.970001       81.210007       58.880005
+ Ar       56.410004       82.660004       56.560001
+ Ar       76.099998       71.770004       60.290001
+ Ar       68.730003       81.110001       56.520004
+ Ar       83.390007       93.150009       49.900002
+ Ar       78.490005       80.849998       59.410004
+ Ar      101.600006       52.940002       35.970001
+ Ar       80.919998       40.810005       75.390007
+ Ar       64.180000       79.910004       62.540001
+ Ar       56.320004       92.830002       56.860004
+ Ar       65.910004       69.810005       62.880001
+ Ar       75.760002       84.560005       60.090004
+ Ar       67.340004       74.610001       68.590004
+ Ar       58.890003        2.050000       19.370001
+ Ar       79.830002        1.240000        2.200000
+ Ar       69.110001       77.139999       57.920002
+ Ar       70.900002       75.050003       53.370003
+ Ar       71.660004       97.660004       49.770004
+ Ar       33.350002       57.490002       52.950001
+ Ar       75.150002       75.270004       47.190002
+ Ar       73.639999       74.630005       43.270000
+ Ar       68.470001       95.180008       59.500004
+ Ar       58.020000       78.440002       66.670006
+ Ar       68.290009       81.559998       60.000004
+ Ar       78.040001       95.180008       56.440002
+ Ar       40.320000       60.070004       15.180001
diff --git a/regtest/multicolvar/rt-center2/plumed.dat b/regtest/multicolvar/rt-center2/plumed.dat
new file mode 100644
index 000000000..6c57fdf4b
--- /dev/null
+++ b/regtest/multicolvar/rt-center2/plumed.dat
@@ -0,0 +1,7 @@
+c1: COORDINATIONNUMBER SPECIES=1-512 SWITCH={EXP D_0=4.0 R_0=0.5} LOWMEM 
+cc: CENTER_OF_MULTICOLVAR DATA=c1
+
+DUMPATOMS ATOMS=cc FILE=cluster-com.xyz PRECISION=5
+
+d1: DISTANCE ATOMS=cc,21
+r: RESTRAINT ARG=d1 AT=13.0 KAPPA=0.5
diff --git a/src/multicolvar/CenterOfMultiColvar.cpp b/src/multicolvar/CenterOfMultiColvar.cpp
index 1b002ea85..2c3604752 100644
--- a/src/multicolvar/CenterOfMultiColvar.cpp
+++ b/src/multicolvar/CenterOfMultiColvar.cpp
@@ -37,12 +37,12 @@ Calculate a a weighted average position based on the value of some multicolvar.
 This action calculates the position of a new virtual atom using the following formula:
 
 \f[
-x_\alpha = \frac{1}{2\pi} \arctan \left[ \frac{ \sum_i w_i \sin\left( 2\pi x_{i,\alpha} \right) }{ \sum_i w_i \cos\left( 2\pi x_{i,\alpha} \right) } \right]
+x_\alpha = \frac{1}{2\pi} \arctan \left[ \frac{ \sum_i w_i f_i \sin\left( 2\pi x_{i,\alpha} \right) }{ \sum_i w_i f_i \cos\left( 2\pi x_{i,\alpha} \right) } \right]
 \f]
 
 Where in this expression the \f$w_i\f$ values are a set of weights calculated within a multicolvar 
-action. The \f$x_{i,\alpha}\f$ values are the positions (in scaled coordinates) associated with each 
-of the multicolvars calculated. 
+action and the \f$f_i\f$ are the values of the multicolvar functions. The \f$x_{i,\alpha}\f$ values are 
+the positions (in scaled coordinates) associated with each of the multicolvars calculated. 
 
 \bug The virial contribution for this type of virtual atom is not currently evaluated so do not use in bias functions unless the volume of the cell is fixed
 
@@ -57,14 +57,12 @@ You can thus calculate the position of the droplet using an input like the one s
 
 \verbatim
 c1: COORDINATIONNUMBER SPECIES=1-512 SWITCH={EXP D_0=4.0 R_0=0.5}
-cf: MFILTER_MORE DATA=c1 SWITCH={RATIONAL D_0=2.0 R_0=0.1} LOWMEM
-cc: CENTER_OF_MULTICOLVAR DATA=cf
+cc: CENTER_OF_MULTICOLVAR DATA=c1
 \endverbatim
 
-The first line here calclates the coordination numbers of all the atoms in the system.  The second line then transforms
-these coordination number by a switching function that is only equal to one if the coordination number is greater than 2.
-The weights in the above expression for the center (which will be a virtual atom labelled cc for the above input) are thus
-transformed values of the various coordination numbers.
+The first line here calclates the coordination numbers of all the atoms in the system.  The virtual atom then uses the values
+of the coordination numbers calculated by the action labelled c1 when it calculates the Berry Phase average described above.  
+(N.B. the \f$w_i\f$ in the above expression are all set equal to 1 in this case)
 
 */
 //+ENDPLUMEDOC
-- 
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