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colvarbias_restraint.cpp
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Wed, Nov 6, 06:21
Size
17 KB
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text/x-c
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Fri, Nov 8, 06:21 (1 d, 23 h)
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blob
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22162363
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rLAMMPS lammps
colvarbias_restraint.cpp
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/// -*- c++ -*-
#include "colvarmodule.h"
#include "colvarvalue.h"
#include "colvarbias_restraint.h"
colvarbias_restraint
::
colvarbias_restraint
(
std
::
string
const
&
conf
,
char
const
*
key
)
:
colvarbias
(
conf
,
key
),
target_nstages
(
0
),
target_nsteps
(
0
)
{
get_keyval
(
conf
,
"forceConstant"
,
force_k
,
1.0
);
{
// get the initial restraint centers
colvar_centers
.
resize
(
colvars
.
size
());
colvar_centers_raw
.
resize
(
colvars
.
size
());
size_t
i
;
for
(
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
colvar_centers
[
i
].
type
(
colvars
[
i
]
->
value
());
colvar_centers_raw
[
i
].
type
(
colvars
[
i
]
->
value
());
if
(
cvm
::
debug
())
{
cvm
::
log
(
"colvarbias_restraint: center size = "
+
cvm
::
to_str
(
colvar_centers
[
i
].
vector1d_value
.
size
())
+
"
\n
"
);
}
}
if
(
get_keyval
(
conf
,
"centers"
,
colvar_centers
,
colvar_centers
))
{
for
(
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
if
(
cvm
::
debug
())
{
cvm
::
log
(
"colvarbias_restraint: parsing initial centers, i = "
+
cvm
::
to_str
(
i
)
+
".
\n
"
);
}
colvar_centers
[
i
].
apply_constraints
();
colvar_centers_raw
[
i
]
=
colvar_centers
[
i
];
}
}
else
{
colvar_centers
.
clear
();
cvm
::
error
(
"Error: must define the initial centers of the restraints.
\n
"
);
}
if
(
colvar_centers
.
size
()
!=
colvars
.
size
())
{
cvm
::
error
(
"Error: number of centers does not match "
"that of collective variables.
\n
"
);
}
}
{
if
(
cvm
::
debug
())
{
cvm
::
log
(
"colvarbias_restraint: parsing target centers.
\n
"
);
}
size_t
i
;
if
(
get_keyval
(
conf
,
"targetCenters"
,
target_centers
,
colvar_centers
))
{
b_chg_centers
=
true
;
for
(
i
=
0
;
i
<
target_centers
.
size
();
i
++
)
{
target_centers
[
i
].
apply_constraints
();
}
}
else
{
b_chg_centers
=
false
;
target_centers
.
clear
();
}
}
if
(
get_keyval
(
conf
,
"targetForceConstant"
,
target_force_k
,
0.0
))
{
if
(
b_chg_centers
)
cvm
::
error
(
"Error: cannot specify both targetCenters and targetForceConstant.
\n
"
);
starting_force_k
=
force_k
;
b_chg_force_k
=
true
;
get_keyval
(
conf
,
"targetEquilSteps"
,
target_equil_steps
,
0
);
get_keyval
(
conf
,
"lambdaSchedule"
,
lambda_schedule
,
lambda_schedule
);
if
(
lambda_schedule
.
size
())
{
// There is one more lambda-point than stages
target_nstages
=
lambda_schedule
.
size
()
-
1
;
}
}
else
{
b_chg_force_k
=
false
;
}
if
(
b_chg_centers
||
b_chg_force_k
)
{
get_keyval
(
conf
,
"targetNumSteps"
,
target_nsteps
,
0
);
if
(
!
target_nsteps
)
cvm
::
error
(
"Error: targetNumSteps must be non-zero.
\n
"
);
if
(
get_keyval
(
conf
,
"targetNumStages"
,
target_nstages
,
target_nstages
)
&&
lambda_schedule
.
size
())
{
cvm
::
error
(
"Error: targetNumStages and lambdaSchedule are incompatible.
\n
"
);
}
if
(
target_nstages
)
{
// This means that either numStages of lambdaSchedule has been provided
stage
=
0
;
restraint_FE
=
0.0
;
}
if
(
get_keyval
(
conf
,
"targetForceExponent"
,
force_k_exp
,
1.0
))
{
if
(
!
b_chg_force_k
)
cvm
::
log
(
"Warning: not changing force constant: targetForceExponent will be ignored
\n
"
);
if
(
force_k_exp
<
1.0
)
cvm
::
log
(
"Warning: for all practical purposes, targetForceExponent should be 1.0 or greater.
\n
"
);
}
}
get_keyval
(
conf
,
"outputCenters"
,
b_output_centers
,
false
);
if
(
b_chg_centers
)
{
get_keyval
(
conf
,
"outputAccumulatedWork"
,
b_output_acc_work
,
false
);
}
else
{
b_output_acc_work
=
false
;
}
acc_work
=
0.0
;
if
(
cvm
::
debug
())
cvm
::
log
(
"Done initializing a new restraint bias.
\n
"
);
}
colvarbias_restraint
::~
colvarbias_restraint
()
{
if
(
cvm
::
n_rest_biases
>
0
)
cvm
::
n_rest_biases
-=
1
;
}
void
colvarbias_restraint
::
change_configuration
(
std
::
string
const
&
conf
)
{
get_keyval
(
conf
,
"forceConstant"
,
force_k
,
force_k
);
if
(
get_keyval
(
conf
,
"centers"
,
colvar_centers
,
colvar_centers
))
{
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
colvar_centers
[
i
].
type
(
colvars
[
i
]
->
value
());
colvar_centers
[
i
].
apply_constraints
();
colvar_centers_raw
[
i
].
type
(
colvars
[
i
]
->
value
());
colvar_centers_raw
[
i
]
=
colvar_centers
[
i
];
}
}
}
cvm
::
real
colvarbias_restraint
::
energy_difference
(
std
::
string
const
&
conf
)
{
std
::
vector
<
colvarvalue
>
alt_colvar_centers
;
cvm
::
real
alt_force_k
;
cvm
::
real
alt_bias_energy
=
0.0
;
get_keyval
(
conf
,
"forceConstant"
,
alt_force_k
,
force_k
);
alt_colvar_centers
.
resize
(
colvars
.
size
());
size_t
i
;
for
(
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
alt_colvar_centers
[
i
].
type
(
colvars
[
i
]
->
value
());
}
if
(
get_keyval
(
conf
,
"centers"
,
alt_colvar_centers
,
colvar_centers
))
{
for
(
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
alt_colvar_centers
[
i
].
apply_constraints
();
}
}
for
(
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
alt_bias_energy
+=
restraint_potential
(
restraint_convert_k
(
alt_force_k
,
colvars
[
i
]
->
width
),
colvars
[
i
],
alt_colvar_centers
[
i
]);
}
return
alt_bias_energy
-
bias_energy
;
}
cvm
::
real
colvarbias_restraint
::
update
()
{
bias_energy
=
0.0
;
if
(
cvm
::
debug
())
cvm
::
log
(
"Updating the restraint bias
\"
"
+
this
->
name
+
"
\"
.
\n
"
);
// Setup first stage of staged variable force constant calculation
if
(
b_chg_force_k
&&
target_nstages
&&
cvm
::
step_absolute
()
==
0
)
{
cvm
::
real
lambda
;
if
(
lambda_schedule
.
size
())
{
lambda
=
lambda_schedule
[
0
];
}
else
{
lambda
=
0.0
;
}
force_k
=
starting_force_k
+
(
target_force_k
-
starting_force_k
)
*
std
::
pow
(
lambda
,
force_k_exp
);
cvm
::
log
(
"Restraint "
+
this
->
name
+
", stage "
+
cvm
::
to_str
(
stage
)
+
" : lambda = "
+
cvm
::
to_str
(
lambda
));
cvm
::
log
(
"Setting force constant to "
+
cvm
::
to_str
(
force_k
));
}
if
(
b_chg_centers
)
{
if
(
!
centers_incr
.
size
())
{
// if this is the first calculation, calculate the advancement
// at each simulation step (or stage, if applicable)
// (take current stage into account: it can be non-zero
// if we are restarting a staged calculation)
centers_incr
.
resize
(
colvars
.
size
());
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
centers_incr
[
i
].
type
(
colvars
[
i
]
->
value
());
centers_incr
[
i
]
=
(
target_centers
[
i
]
-
colvar_centers_raw
[
i
])
/
cvm
::
real
(
target_nstages
?
(
target_nstages
-
stage
)
:
(
target_nsteps
-
cvm
::
step_absolute
()));
}
if
(
cvm
::
debug
())
{
cvm
::
log
(
"Center increment for the restraint bias
\"
"
+
this
->
name
+
"
\"
: "
+
cvm
::
to_str
(
centers_incr
)
+
" at stage "
+
cvm
::
to_str
(
stage
)
+
".
\n
"
);
}
}
if
(
target_nstages
)
{
if
((
cvm
::
step_relative
()
>
0
)
&&
(
cvm
::
step_absolute
()
%
target_nsteps
)
==
0
&&
stage
<
target_nstages
)
{
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
colvar_centers_raw
[
i
]
+=
centers_incr
[
i
];
colvar_centers
[
i
]
=
colvar_centers_raw
[
i
];
colvars
[
i
]
->
wrap
(
colvar_centers
[
i
]);
colvar_centers
[
i
].
apply_constraints
();
}
stage
++
;
cvm
::
log
(
"Moving restraint
\"
"
+
this
->
name
+
"
\"
stage "
+
cvm
::
to_str
(
stage
)
+
" : setting centers to "
+
cvm
::
to_str
(
colvar_centers
)
+
" at step "
+
cvm
::
to_str
(
cvm
::
step_absolute
()));
}
}
else
if
((
cvm
::
step_relative
()
>
0
)
&&
(
cvm
::
step_absolute
()
<=
target_nsteps
))
{
// move the restraint centers in the direction of the targets
// (slow growth)
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
colvar_centers_raw
[
i
]
+=
centers_incr
[
i
];
colvar_centers
[
i
]
=
colvar_centers_raw
[
i
];
colvars
[
i
]
->
wrap
(
colvar_centers
[
i
]);
colvar_centers
[
i
].
apply_constraints
();
}
}
if
(
cvm
::
debug
())
cvm
::
log
(
"Current centers for the restraint bias
\"
"
+
this
->
name
+
"
\"
: "
+
cvm
::
to_str
(
colvar_centers
)
+
".
\n
"
);
}
if
(
b_chg_force_k
)
{
// Coupling parameter, between 0 and 1
cvm
::
real
lambda
;
if
(
target_nstages
)
{
// TI calculation: estimate free energy derivative
// need current lambda
if
(
lambda_schedule
.
size
())
{
lambda
=
lambda_schedule
[
stage
];
}
else
{
lambda
=
cvm
::
real
(
stage
)
/
cvm
::
real
(
target_nstages
);
}
if
(
target_equil_steps
==
0
||
cvm
::
step_absolute
()
%
target_nsteps
>=
target_equil_steps
)
{
// Start averaging after equilibration period, if requested
// Square distance normalized by square colvar width
cvm
::
real
dist_sq
=
0.0
;
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
dist_sq
+=
colvars
[
i
]
->
dist2
(
colvars
[
i
]
->
value
(),
colvar_centers
[
i
])
/
(
colvars
[
i
]
->
width
*
colvars
[
i
]
->
width
);
}
restraint_FE
+=
0.5
*
force_k_exp
*
std
::
pow
(
lambda
,
force_k_exp
-
1.0
)
*
(
target_force_k
-
starting_force_k
)
*
dist_sq
;
}
// Finish current stage...
if
(
cvm
::
step_absolute
()
%
target_nsteps
==
0
&&
cvm
::
step_absolute
()
>
0
)
{
cvm
::
log
(
"Lambda= "
+
cvm
::
to_str
(
lambda
)
+
" dA/dLambda= "
+
cvm
::
to_str
(
restraint_FE
/
cvm
::
real
(
target_nsteps
-
target_equil_steps
)));
// ...and move on to the next one
if
(
stage
<
target_nstages
)
{
restraint_FE
=
0.0
;
stage
++
;
if
(
lambda_schedule
.
size
())
{
lambda
=
lambda_schedule
[
stage
];
}
else
{
lambda
=
cvm
::
real
(
stage
)
/
cvm
::
real
(
target_nstages
);
}
force_k
=
starting_force_k
+
(
target_force_k
-
starting_force_k
)
*
std
::
pow
(
lambda
,
force_k_exp
);
cvm
::
log
(
"Restraint "
+
this
->
name
+
", stage "
+
cvm
::
to_str
(
stage
)
+
" : lambda = "
+
cvm
::
to_str
(
lambda
));
cvm
::
log
(
"Setting force constant to "
+
cvm
::
to_str
(
force_k
));
}
}
}
else
if
(
cvm
::
step_absolute
()
<=
target_nsteps
)
{
// update force constant (slow growth)
lambda
=
cvm
::
real
(
cvm
::
step_absolute
())
/
cvm
::
real
(
target_nsteps
);
force_k
=
starting_force_k
+
(
target_force_k
-
starting_force_k
)
*
std
::
pow
(
lambda
,
force_k_exp
);
}
}
if
(
cvm
::
debug
())
cvm
::
log
(
"Done updating the restraint bias
\"
"
+
this
->
name
+
"
\"
.
\n
"
);
// Force and energy calculation
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
colvar_forces
[
i
].
type
(
colvars
[
i
]
->
value
());
colvar_forces
[
i
]
=
-
1.0
*
restraint_force
(
restraint_convert_k
(
force_k
,
colvars
[
i
]
->
width
),
colvars
[
i
],
colvar_centers
[
i
]);
bias_energy
+=
restraint_potential
(
restraint_convert_k
(
force_k
,
colvars
[
i
]
->
width
),
colvars
[
i
],
colvar_centers
[
i
]);
if
(
cvm
::
debug
())
{
cvm
::
log
(
"dist_grad["
+
cvm
::
to_str
(
i
)
+
"] = "
+
cvm
::
to_str
(
colvars
[
i
]
->
dist2_lgrad
(
colvars
[
i
]
->
value
(),
colvar_centers
[
i
]))
+
"
\n
"
);
}
}
if
(
b_output_acc_work
)
{
if
((
cvm
::
step_relative
()
>
0
)
||
(
cvm
::
step_absolute
()
==
0
))
{
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
// project forces on the calculated increments at this step
acc_work
+=
colvar_forces
[
i
]
*
centers_incr
[
i
];
}
}
}
if
(
cvm
::
debug
())
cvm
::
log
(
"Current forces for the restraint bias
\"
"
+
this
->
name
+
"
\"
: "
+
cvm
::
to_str
(
colvar_forces
)
+
".
\n
"
);
return
bias_energy
;
}
std
::
istream
&
colvarbias_restraint
::
read_restart
(
std
::
istream
&
is
)
{
size_t
const
start_pos
=
is
.
tellg
();
cvm
::
log
(
"Restarting restraint bias
\"
"
+
this
->
name
+
"
\"
.
\n
"
);
std
::
string
key
,
brace
,
conf
;
if
(
!
(
is
>>
key
)
||
!
(
key
==
"restraint"
||
key
==
"harmonic"
)
||
!
(
is
>>
brace
)
||
!
(
brace
==
"{"
)
||
!
(
is
>>
colvarparse
::
read_block
(
"configuration"
,
conf
))
)
{
cvm
::
log
(
"Error: in reading restart configuration for restraint bias
\"
"
+
this
->
name
+
"
\"
at position "
+
cvm
::
to_str
(
is
.
tellg
())
+
" in stream.
\n
"
);
is
.
clear
();
is
.
seekg
(
start_pos
,
std
::
ios
::
beg
);
is
.
setstate
(
std
::
ios
::
failbit
);
return
is
;
}
// int id = -1;
std
::
string
name
=
""
;
// if ( ( (colvarparse::get_keyval (conf, "id", id, -1, colvarparse::parse_silent)) &&
// (id != this->id) ) ||
if
(
(
colvarparse
::
get_keyval
(
conf
,
"name"
,
name
,
std
::
string
(
""
),
colvarparse
::
parse_silent
))
&&
(
name
!=
this
->
name
)
)
cvm
::
error
(
"Error: in the restart file, the "
"
\"
restraint
\"
block has a wrong name
\n
"
);
// if ( (id == -1) && (name == "") ) {
if
(
name
.
size
()
==
0
)
{
cvm
::
error
(
"Error:
\"
restraint
\"
block in the restart file "
"has no identifiers.
\n
"
);
}
if
(
b_chg_centers
)
{
// cvm::log ("Reading the updated restraint centers from the restart.\n");
if
(
!
get_keyval
(
conf
,
"centers"
,
colvar_centers
))
cvm
::
error
(
"Error: restraint centers are missing from the restart.
\n
"
);
if
(
!
get_keyval
(
conf
,
"centers_raw"
,
colvar_centers_raw
))
cvm
::
error
(
"Error:
\"
raw
\"
restraint centers are missing from the restart.
\n
"
);
}
if
(
b_chg_force_k
)
{
// cvm::log ("Reading the updated force constant from the restart.\n");
if
(
!
get_keyval
(
conf
,
"forceConstant"
,
force_k
))
cvm
::
error
(
"Error: force constant is missing from the restart.
\n
"
);
}
if
(
target_nstages
)
{
// cvm::log ("Reading current stage from the restart.\n");
if
(
!
get_keyval
(
conf
,
"stage"
,
stage
))
cvm
::
error
(
"Error: current stage is missing from the restart.
\n
"
);
}
if
(
b_output_acc_work
)
{
if
(
!
get_keyval
(
conf
,
"accumulatedWork"
,
acc_work
))
cvm
::
error
(
"Error: accumulatedWork is missing from the restart.
\n
"
);
}
is
>>
brace
;
if
(
brace
!=
"}"
)
{
cvm
::
error
(
"Error: corrupt restart information for restraint bias
\"
"
+
this
->
name
+
"
\"
: no matching brace at position "
+
cvm
::
to_str
(
is
.
tellg
())
+
" in the restart file.
\n
"
);
is
.
setstate
(
std
::
ios
::
failbit
);
}
return
is
;
}
std
::
ostream
&
colvarbias_restraint
::
write_restart
(
std
::
ostream
&
os
)
{
os
<<
"restraint {
\n
"
<<
" configuration {
\n
"
// << " id " << this->id << "\n"
<<
" name "
<<
this
->
name
<<
"
\n
"
;
if
(
b_chg_centers
)
{
size_t
i
;
os
<<
" centers "
;
for
(
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
os
<<
" "
<<
colvar_centers
[
i
];
}
os
<<
"
\n
"
;
os
<<
" centers_raw "
;
for
(
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
os
<<
" "
<<
colvar_centers_raw
[
i
];
}
os
<<
"
\n
"
;
}
if
(
b_chg_force_k
)
{
os
<<
" forceConstant "
<<
std
::
setprecision
(
cvm
::
en_prec
)
<<
std
::
setw
(
cvm
::
en_width
)
<<
force_k
<<
"
\n
"
;
}
if
(
target_nstages
)
{
os
<<
" stage "
<<
std
::
setw
(
cvm
::
it_width
)
<<
stage
<<
"
\n
"
;
}
if
(
b_output_acc_work
)
{
os
<<
" accumulatedWork "
<<
acc_work
<<
"
\n
"
;
}
os
<<
" }
\n
"
<<
"}
\n\n
"
;
return
os
;
}
std
::
ostream
&
colvarbias_restraint
::
write_traj_label
(
std
::
ostream
&
os
)
{
os
<<
" "
;
if
(
b_output_energy
)
os
<<
" E_"
<<
cvm
::
wrap_string
(
this
->
name
,
cvm
::
en_width
-
2
);
if
(
b_output_centers
)
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
size_t
const
this_cv_width
=
(
colvars
[
i
]
->
value
()).
output_width
(
cvm
::
cv_width
);
os
<<
" x0_"
<<
cvm
::
wrap_string
(
colvars
[
i
]
->
name
,
this_cv_width
-
3
);
}
if
(
b_output_acc_work
)
os
<<
" W_"
<<
cvm
::
wrap_string
(
this
->
name
,
cvm
::
en_width
-
2
);
return
os
;
}
std
::
ostream
&
colvarbias_restraint
::
write_traj
(
std
::
ostream
&
os
)
{
os
<<
" "
;
if
(
b_output_energy
)
os
<<
" "
<<
std
::
setprecision
(
cvm
::
en_prec
)
<<
std
::
setw
(
cvm
::
en_width
)
<<
bias_energy
;
if
(
b_output_centers
)
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
os
<<
" "
<<
std
::
setprecision
(
cvm
::
cv_prec
)
<<
std
::
setw
(
cvm
::
cv_width
)
<<
colvar_centers
[
i
];
}
if
(
b_output_acc_work
)
os
<<
" "
<<
std
::
setprecision
(
cvm
::
en_prec
)
<<
std
::
setw
(
cvm
::
en_width
)
<<
acc_work
;
return
os
;
}
colvarbias_restraint_harmonic
::
colvarbias_restraint_harmonic
(
std
::
string
const
&
conf
,
char
const
*
key
)
:
colvarbias_restraint
(
conf
,
key
)
{
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
if
(
colvars
[
i
]
->
width
!=
1.0
)
cvm
::
log
(
"The force constant for colvar
\"
"
+
colvars
[
i
]
->
name
+
"
\"
will be rescaled to "
+
cvm
::
to_str
(
restraint_convert_k
(
force_k
,
colvars
[
i
]
->
width
))
+
" according to the specified width.
\n
"
);
}
}
cvm
::
real
colvarbias_restraint_harmonic
::
restraint_potential
(
cvm
::
real
k
,
colvar
*
x
,
const
colvarvalue
&
xcenter
)
const
{
return
0.5
*
k
*
x
->
dist2
(
x
->
value
(),
xcenter
);
}
colvarvalue
colvarbias_restraint_harmonic
::
restraint_force
(
cvm
::
real
k
,
colvar
*
x
,
const
colvarvalue
&
xcenter
)
const
{
return
0.5
*
k
*
x
->
dist2_lgrad
(
x
->
value
(),
xcenter
);
}
cvm
::
real
colvarbias_restraint_harmonic
::
restraint_convert_k
(
cvm
::
real
k
,
cvm
::
real
dist_measure
)
const
{
return
k
/
(
dist_measure
*
dist_measure
);
}
colvarbias_restraint_linear
::
colvarbias_restraint_linear
(
std
::
string
const
&
conf
,
char
const
*
key
)
:
colvarbias_restraint
(
conf
,
key
)
{
for
(
size_t
i
=
0
;
i
<
colvars
.
size
();
i
++
)
{
if
(
colvars
[
i
]
->
width
!=
1.0
)
cvm
::
log
(
"The force constant for colvar
\"
"
+
colvars
[
i
]
->
name
+
"
\"
will be rescaled to "
+
cvm
::
to_str
(
restraint_convert_k
(
force_k
,
colvars
[
i
]
->
width
))
+
" according to the specified width.
\n
"
);
}
}
cvm
::
real
colvarbias_restraint_linear
::
restraint_potential
(
cvm
::
real
k
,
colvar
*
x
,
const
colvarvalue
&
xcenter
)
const
{
return
k
*
(
x
->
value
()
-
xcenter
);
}
colvarvalue
colvarbias_restraint_linear
::
restraint_force
(
cvm
::
real
k
,
colvar
*
x
,
const
colvarvalue
&
xcenter
)
const
{
return
k
;
}
cvm
::
real
colvarbias_restraint_linear
::
restraint_convert_k
(
cvm
::
real
k
,
cvm
::
real
dist_measure
)
const
{
return
k
/
dist_measure
;
}
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