Author: bugman
Date: Tue Sep 23 17:13:58 2014
New Revision: 25970
URL: http://svn.gna.org/viewcvs/relax?rev=25970&view=rev
Log:
Implemented the frame_order.simulate user function backend for the double rotor
frame order model.
This involved extending the algorithm to loop over N states, where N=2 for the
double rotor and N=1
for all other models. To handle the rotations being about the x and y-axes, an
axis permutation
algorithm is used to shift these axes to z prior to decomposing to the
torsion-tilt angles. The
reverse permutation is used to shift the axes back after correcting for being
outside of the allowed
angles.
Modified:
branches/frame_order_cleanup/lib/frame_order/simulation.py
branches/frame_order_cleanup/specific_analyses/frame_order/uf.py
Modified: branches/frame_order_cleanup/lib/frame_order/simulation.py
URL:
http://svn.gna.org/viewcvs/relax/branches/frame_order_cleanup/lib/frame_order/simulation.py?rev=25970&r1=25969&r2=25970&view=diff
==============================================================================
--- branches/frame_order_cleanup/lib/frame_order/simulation.py (original)
+++ branches/frame_order_cleanup/lib/frame_order/simulation.py Tue Sep 23
17:13:58 2014
@@ -24,11 +24,12 @@
# Python module imports.
from math import cos, pi, sin, sqrt
-from numpy import dot, eye, float64, transpose, zeros
+from numpy import dot, eye, float64, swapaxes, transpose, zeros
import sys
# relax module imports.
from lib.errors import RelaxError
+from lib.frame_order.variables import MODEL_DOUBLE_ROTOR
from lib.geometry.angles import wrap_angles
from lib.geometry.rotations import axis_angle_to_R, R_to_tilt_torsion,
tilt_torsion_to_R
from lib.geometry.vectors import random_unit_vector
@@ -47,8 +48,8 @@
@type parameters: dict of float
@keyword eigenframe: The full 3D eigenframe of the frame order motions.
@type eigenframe: numpy rank-2, 3D float64 array
- @keyword pivot: The pivot point of the frame order motions.
- @type pivot: numpy rank-1, 3D float64 array
+ @keyword pivot: The list of pivot points of the frame order
motions.
+ @type pivot: numpy rank-2 (N, 3) float64 array
@keyword atom_id: The atom ID string for the atoms in the structure
to rotate - i.e. the moving domain.
@type atom_id: None or str
@keyword step_size: The rotation will be of a random direction but
with this fixed angle. The value is in degrees.
@@ -66,18 +67,30 @@
# Set the model number.
structure.set_model(model_orig=None, model_new=1)
- # The initial state.
- state = eye(3, dtype=float64)
+ # The initial states and motional limits.
+ num_states = len(pivot)
+ states = zeros((num_states, 3, 3), float64)
+ theta_max = []
+ sigma_max = []
+ for i in range(num_states):
+ states[i] = eye(3)
+ theta_max.append(None)
+ sigma_max.append(None)
# Initialise the rotation matrix data structures.
vector = zeros(3, float64)
R = eye(3, dtype=float64)
step_size = step_size / 360.0 * 2.0 * pi
+ # Axis permutations.
+ perm = [None]
+ if model == MODEL_DOUBLE_ROTOR:
+ perm = [[2, 0, 1], [1, 2, 0]]
+ perm_rev = [[1, 2, 0], [2, 0, 1]]
+
# The maximum cone opening angles (isotropic cones).
- theta_max = None
- if 'cone_theta_max' in parameters:
- theta_max = parameters['cone_theta_max']
+ if 'cone_theta' in parameters:
+ theta_max[0] = parameters['cone_theta']
# The maximum cone opening angles (isotropic cones).
theta_x = None
@@ -87,16 +100,14 @@
theta_y = parameters['cone_theta_y']
# The maximum torsion angle.
- sigma_max = None
if 'cone_sigma_max' in parameters:
- sigma_max = parameters['cone_sigma_max']
+ sigma_max[0] = parameters['cone_sigma_max']
elif 'free rotor' in model:
- sigma_max = pi
+ sigma_max[0] = pi
# The second torsion angle.
- sigma_max_2 = None
if 'cone_sigma_max_2' in parameters:
- sigma_max_2 = parameters['cone_sigma_max_2']
+ sigma_max[1] = parameters['cone_sigma_max_2']
# Printout.
print("\nRunning the simulation:")
@@ -110,50 +121,66 @@
print("\nEnd of simulation.")
break
- # The random vector.
- random_unit_vector(vector)
-
- # The rotation matrix.
- axis_angle_to_R(vector, step_size, R)
-
- # Shift the current state.
- state = dot(R, state)
-
- # Rotation in the eigenframe.
- R_eigen = dot(transpose(eigenframe), dot(state, eigenframe))
-
- # The angles.
- phi, theta, sigma = R_to_tilt_torsion(R_eigen)
- sigma = wrap_angles(sigma, -pi, pi)
-
- # Determine theta_max.
- if theta_x != None:
- theta_max = 1.0 / sqrt((cos(phi) / theta_x)**2 + (sin(phi) /
theta_y)**2)
-
- # Set the cone opening angle to the maximum if outside of the limit.
- if theta_max != None:
- if theta > theta_max:
- theta = theta_max
-
- # No tilt component.
- else:
- theta = 0.0
- phi = 0.0
-
- # Set the torsion angle to the maximum if outside of the limits.
- if sigma_max != None:
- if sigma > sigma_max:
- sigma = sigma_max
- elif sigma < -sigma_max:
- sigma = -sigma_max
- else:
- sigma = 0.0
-
- # Reconstruct the rotation matrix, in the eigenframe, without sigma.
- tilt_torsion_to_R(phi, theta, sigma, R_eigen)
-
- # Rotate back out of the eigenframe.
- state = dot(eigenframe, dot(R_eigen, transpose(eigenframe)))
+ # Loop over each state, or motional mode.
+ for i in range(num_states):
+ # The random vector.
+ random_unit_vector(vector)
+
+ # The rotation matrix.
+ axis_angle_to_R(vector, step_size, R)
+
+ # Shift the current state.
+ states[i] = dot(R, states[i])
+
+ # Rotation in the eigenframe.
+ R_eigen = dot(transpose(eigenframe), dot(states[i], eigenframe))
+
+ # Axis permutation to shift each rotation axis to Z.
+ if perm[i] != None:
+ for j in range(3):
+ R_eigen[:, j] = R_eigen[perm[i], j]
+ for j in range(3):
+ R_eigen[j, :] = R_eigen[j, perm[i]]
+
+ # The angles.
+ phi, theta, sigma = R_to_tilt_torsion(R_eigen)
+ sigma = wrap_angles(sigma, -pi, pi)
+
+ # Determine theta_max for the pseudo-ellipse models.
+ if theta_x != None:
+ theta_max[i] = 1.0 / sqrt((cos(phi) / theta_x)**2 + (sin(phi)
/ theta_y)**2)
+
+ # Set the cone opening angle to the maximum if outside of the
limit.
+ if theta_max[i] != None:
+ if theta > theta_max[i]:
+ theta = theta_max[i]
+
+ # No tilt component.
+ else:
+ theta = 0.0
+ phi = 0.0
+
+ # Set the torsion angle to the maximum if outside of the limits.
+ if sigma_max[i] != None:
+ if sigma > sigma_max[i]:
+ sigma = sigma_max[i]
+ elif sigma < -sigma_max[i]:
+ sigma = -sigma_max[i]
+ else:
+ sigma = 0.0
+
+ # Reconstruct the rotation matrix, in the eigenframe, without
sigma.
+ tilt_torsion_to_R(phi, theta, sigma, R_eigen)
+
+ # Reverse axis permutation to shift each rotation z-axis back.
+ if perm[i] != None:
+ for j in range(3):
+ R_eigen[:, j] = R_eigen[perm_rev[i], j]
+ for j in range(3):
+ R_eigen[j, :] = R_eigen[j, perm_rev[i]]
+
+ # Rotate back out of the eigenframe.
+ states[i] = dot(eigenframe, dot(R_eigen, transpose(eigenframe)))
# Take a snapshot.
if step == snapshot:
@@ -168,7 +195,8 @@
structure.add_model(model=current_snapshot, coords_from=1)
# Rotate the model.
- structure.rotate(R=state, origin=pivot, model=current_snapshot,
atom_id=atom_id)
+ for i in range(num_states):
+ structure.rotate(R=states[i], origin=pivot[i],
model=current_snapshot, atom_id=atom_id)
# Reset the step counter.
step = 0
Modified: branches/frame_order_cleanup/specific_analyses/frame_order/uf.py
URL:
http://svn.gna.org/viewcvs/relax/branches/frame_order_cleanup/specific_analyses/frame_order/uf.py?rev=25970&r1=25969&r2=25970&view=diff
==============================================================================
--- branches/frame_order_cleanup/specific_analyses/frame_order/uf.py
(original)
+++ branches/frame_order_cleanup/specific_analyses/frame_order/uf.py Tue Sep
23 17:13:58 2014
@@ -34,14 +34,14 @@
from lib.check_types import is_float
from lib.errors import RelaxError, RelaxFault
from lib.frame_order.simulation import brownian
-from lib.frame_order.variables import MODEL_ISO_CONE,
MODEL_ISO_CONE_FREE_ROTOR, MODEL_ISO_CONE_TORSIONLESS, MODEL_LIST,
MODEL_LIST_FREE_ROTORS, MODEL_LIST_ISO_CONE, MODEL_LIST_PSEUDO_ELLIPSE,
MODEL_LIST_RESTRICTED_TORSION, MODEL_PSEUDO_ELLIPSE,
MODEL_PSEUDO_ELLIPSE_TORSIONLESS, MODEL_RIGID
+from lib.frame_order.variables import MODEL_DOUBLE_ROTOR, MODEL_ISO_CONE,
MODEL_ISO_CONE_FREE_ROTOR, MODEL_ISO_CONE_TORSIONLESS, MODEL_LIST,
MODEL_LIST_FREE_ROTORS, MODEL_LIST_ISO_CONE, MODEL_LIST_PSEUDO_ELLIPSE,
MODEL_LIST_RESTRICTED_TORSION, MODEL_PSEUDO_ELLIPSE,
MODEL_PSEUDO_ELLIPSE_TORSIONLESS, MODEL_RIGID
from lib.geometry.coord_transform import cartesian_to_spherical,
spherical_to_cartesian
from lib.geometry.rotations import euler_to_R_zyz, R_to_euler_zyz
from lib.io import open_write_file
from lib.warnings import RelaxWarning
from pipe_control import pipes
from specific_analyses.frame_order.checks import check_domain, check_model,
check_parameters, check_pivot
-from specific_analyses.frame_order.data import domain_moving
+from specific_analyses.frame_order.data import domain_moving, generate_pivot
from specific_analyses.frame_order.geometric import average_position,
create_ave_pos, create_geometric_rep, generate_axis_system
from specific_analyses.frame_order.optimisation import count_sobol_points
from specific_analyses.frame_order.parameters import assemble_param_vector,
update_model
@@ -402,8 +402,13 @@
if structure.num_models() > 1:
structure.collapse_ensemble(model_num=model)
- # The pivot point.
- pivot = array([cdp.pivot_x, cdp.pivot_y, cdp.pivot_z], float64)
+ # The pivot points.
+ num_states = 1
+ if cdp.model == MODEL_DOUBLE_ROTOR:
+ num_states = 2
+ pivot = zeros((num_states, 3), float64)
+ for i in range(num_states):
+ pivot[i] = generate_pivot(order=i+1, pdb_limit=True)
# Shift to the average position.
average_position(structure=structure, models=[1])
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