Author: bugman
Date: Sat Nov 1 20:22:26 2014
New Revision: 26407
URL: http://svn.gna.org/viewcvs/relax?rev=26407&view=rev
Log:
Redesign of the frame_order_solution.py script for calculating the frame order
matrix elements.
This script now loops over all models, all motional frame orientations, and all
order parameters to
generate the Grace graphs of all 1st and 2nd degree frame order matrix
elements. Therefore the
script only needs to be executed once. The script also now calculates a point
at zero (slightly
shifted to 0.01 to avoid artifacts).
Modified:
branches/frame_order_cleanup/test_suite/shared_data/frame_order/sim_vs_pred_matrix/frame_order_solution.py
Modified:
branches/frame_order_cleanup/test_suite/shared_data/frame_order/sim_vs_pred_matrix/frame_order_solution.py
URL:
http://svn.gna.org/viewcvs/relax/branches/frame_order_cleanup/test_suite/shared_data/frame_order/sim_vs_pred_matrix/frame_order_solution.py?rev=26407&r1=26406&r2=26407&view=diff
==============================================================================
---
branches/frame_order_cleanup/test_suite/shared_data/frame_order/sim_vs_pred_matrix/frame_order_solution.py
(original)
+++
branches/frame_order_cleanup/test_suite/shared_data/frame_order/sim_vs_pred_matrix/frame_order_solution.py
Sat Nov 1 20:22:26 2014
@@ -8,50 +8,46 @@
import sys
# relax module imports.
-from lib.frame_order.pseudo_ellipse import compile_1st_matrix_pseudo_ellipse,
compile_2nd_matrix_pseudo_ellipse
+from lib.errors import RelaxError
+from lib.frame_order import double_rotor, free_rotor, iso_cone,
iso_cone_free_rotor, iso_cone_torsionless, pseudo_ellipse,
pseudo_ellipse_free_rotor, pseudo_ellipse_torsionless, rotor
from lib.geometry.angles import wrap_angles
from lib.linear_algebra.kronecker_product import kron_prod
+from lib.order.order_parameters import iso_cone_theta_to_S
# Variables.
-MODEL = 'pseudo-ellipse'
-MODEL_TEXT = 'Pseudo-ellipse frame order model'
-TAG = 'in_frame'
+MODELS = [
+ 'rotor',
+ 'free_rotor',
+ 'iso_cone',
+ 'iso_cone_torsionless',
+ 'iso_cone_free_rotor',
+ 'pseudo-ellipse',
+ 'pseudo-ellipse_torsionless',
+ 'pseudo-ellipse_free_rotor',
+ 'double_rotor'
+]
+MODEL_TEXT = [
+ 'Rotor frame order model',
+ 'Free-rotor frame order model',
+ 'Isotropic cone frame order model',
+ 'Isotropic cone, torsionless frame order model',
+ 'Isotropic cone, free rotor frame order model',
+ 'Pseudo-ellipse frame order model',
+ 'Pseudo-ellipse, torsionless frame order model',
+ 'Pseudo-ellipse, free rotor frame order model',
+ 'Double rotor frame order model'
+]
+TAGS = [
+ 'in_frame',
+ 'out_of_frame',
+ 'axis2_1_3'
+]
# Angular restrictions.
THETA_X = pi / 4
THETA_Y = 3 * pi / 8
THETA_Z = pi / 6
INC = 18
-VAR = 'Z'
-
-# The frame order eigenframe - I.
-if TAG == 'in_frame':
- EIG_FRAME = eye(3)
-
-# The frame order eigenframe - rotated.
-if TAG == 'out_of_frame':
- EIG_FRAME = array([[ 2, -1, 2],
- [ 2, 2, -1],
- [-1, 2, 2]], float64) / 3.0
-
-# The frame order eigenframe (and tag) - original isotropic cone axis [2, 1,
3].
-elif TAG == 'axis2_1_3':
- # Generate 3 orthogonal vectors.
- vect_z = array([2, 1, 3], float64)
- vect_x = cross(vect_z, array([1, 1, 1], float64))
- vect_y = cross(vect_z, vect_x)
-
- # Normalise.
- vect_x = vect_x / norm(vect_x)
- vect_y = vect_y / norm(vect_y)
- vect_z = vect_z / norm(vect_z)
-
- # Build the frame.
- EIG_FRAME = zeros((3, 3), float64)
- EIG_FRAME[:,0] = vect_x
- EIG_FRAME[:,1] = vect_y
- EIG_FRAME[:,2] = vect_z
-
class Frame_order:
@@ -61,45 +57,99 @@
This is when the starting positions are random.
"""
- # The tag.
- self.tag = '_%s_%s_theta_%s_calc.agr' % (MODEL, TAG, lower(VAR))
-
- # The Kronecker product of the eigenframe rotation.
- Rx2_eigen = kron_prod(EIG_FRAME, EIG_FRAME)
-
- # Set the initial storage structures.
- self.init_storage()
-
- # Loop over the angle incs.
- for i in range(INC):
- # Get the angle for the increment.
- theta = self.get_angle(i)
-
- # Vary X.
- if VAR == 'X':
- theta_x = theta
- theta_y = THETA_Y
- theta_z = THETA_Z
-
- # Vary Y.
- elif VAR == 'Y':
- theta_x = THETA_X
- theta_y = theta
- theta_z = THETA_Z
-
- # Vary Z.
- elif VAR == 'Z':
- theta_x = THETA_X
- theta_y = THETA_Y
- theta_z = theta
-
- # Calculate the frame order matrices.
- if MODEL == 'pseudo-ellipse':
- compile_1st_matrix_pseudo_ellipse(self.first_frame_order[i],
theta_x, theta_y, theta_z)
- compile_2nd_matrix_pseudo_ellipse(self.second_frame_order[i],
Rx2_eigen, theta_x, theta_y, theta_z)
-
- # Write the data.
- self.write_data()
+ # Loop over the models.
+ for model_index in range(len(MODELS)):
+ # Aliases.
+ model = MODELS[model_index]
+ model_text = MODEL_TEXT[model_index]
+
+ # Loop over the tags.
+ for tag in TAGS:
+ # Set up the variables to loop over.
+ if model in ['rotor', 'free_rotor']:
+ vars = ['Z']
+ elif model in ['iso_cone_free_rotor', 'iso_cone_torsionless']:
+ vars = ['X']
+ elif model in ['iso_cone']:
+ vars = ['X', 'Z']
+ elif model in ['double_rotor', 'pseudo-ellipse_free_rotor',
'pseudo-ellipse_torsionless']:
+ vars = ['X', 'Y']
+ elif model in ['pseudo-ellipse']:
+ vars = ['X', 'Y', 'Z']
+ else:
+ raise RelaxError("Unknown model '%s'." % model)
+
+ # Loop over the variables.
+ for var in vars:
+ # The file name.
+ file_name = '_%s_%s_theta_%s_calc.agr' % (model, tag,
lower(var))
+ print("Creating the '*%s' files." % file_name)
+
+ # Set up the eigenframe.
+ self.setup_eigenframe(tag=tag)
+
+ # The Kronecker product of the eigenframe rotation.
+ Rx2_eigen = kron_prod(self.eigenframe, self.eigenframe)
+
+ # Set the initial storage structures.
+ self.init_storage()
+
+ # Loop over the angle incs.
+ for i in range(INC+1):
+ # Get the angle for the increment.
+ theta = self.get_angle(i-1)
+
+ # Vary X.
+ if var == 'X':
+ theta_x = theta
+ theta_y = THETA_Y
+ theta_z = THETA_Z
+
+ # Vary Y.
+ elif var == 'Y':
+ theta_x = THETA_X
+ theta_y = theta
+ theta_z = THETA_Z
+
+ # Vary Z.
+ elif var == 'Z':
+ theta_x = THETA_X
+ theta_y = THETA_Y
+ theta_z = theta
+
+ # Calculate the frame order matrices.
+ if model == 'rotor':
+ #self.first_frame_order[i] =
rotor.compile_1st_matrix_rotor(self.first_frame_order[i], self.eigenframe,
theta_z)
+ self.second_frame_order[i] =
rotor.compile_2nd_matrix_rotor(self.second_frame_order[i], Rx2_eigen, theta_z)
+ elif model == 'free_rotor':
+ #self.first_frame_order[i] =
free_rotor.compile_1st_matrix_free_rotor(self.first_frame_order[i],
self.eigenframe)
+ self.second_frame_order[i] =
free_rotor.compile_2nd_matrix_free_rotor(self.second_frame_order[i], Rx2_eigen)
+ elif model == 'iso_cone':
+ #self.first_frame_order[i] =
iso_cone.compile_1st_matrix_iso_cone(self.first_frame_order[i],
self.eigenframe, theta_x, theta_z)
+ self.second_frame_order[i] =
iso_cone.compile_2nd_matrix_iso_cone(self.second_frame_order[i], Rx2_eigen,
theta_x, theta_z)
+ elif model == 'iso_cone_free_rotor':
+ #self.first_frame_order[i] =
iso_cone_free_rotor.compile_1st_matrix_iso_cone_free_rotor(self.first_frame_order[i],
self.eigenframe, iso_cone_theta_to_S(theta_x))
+ self.second_frame_order[i] =
iso_cone_free_rotor.compile_2nd_matrix_iso_cone_free_rotor(self.second_frame_order[i],
Rx2_eigen, iso_cone_theta_to_S(theta_x))
+ elif model == 'iso_cone_torsionless':
+ #self.first_frame_order[i] =
iso_cone_torsionless.compile_1st_matrix_iso_cone_torsionless(self.first_frame_order[i],
self.eigenframe, theta_x)
+ self.second_frame_order[i] =
iso_cone_torsionless.compile_2nd_matrix_iso_cone_torsionless(self.second_frame_order[i],
Rx2_eigen, theta_x)
+ elif model == 'pseudo-ellipse':
+ self.first_frame_order[i] =
pseudo_ellipse.compile_1st_matrix_pseudo_ellipse(self.first_frame_order[i],
self.eigenframe, theta_x, theta_y, theta_z)
+ self.second_frame_order[i] =
pseudo_ellipse.compile_2nd_matrix_pseudo_ellipse(self.second_frame_order[i],
Rx2_eigen, theta_x, theta_y, theta_z)
+ elif model == 'pseudo-ellipse_free_rotor':
+ #self.first_frame_order[i] =
pseudo_ellipse_free_rotor.compile_1st_matrix_pseudo_ellipse_free_rotor(self.first_frame_order[i],
self.eigenframe, theta_x, theta_y)
+ self.second_frame_order[i] =
pseudo_ellipse_free_rotor.compile_2nd_matrix_pseudo_ellipse_free_rotor(self.second_frame_order[i],
Rx2_eigen, theta_x, theta_y)
+ elif model == 'pseudo-ellipse_torsionless':
+ #self.first_frame_order[i] =
pseudo_ellipse_torsionless.compile_1st_matrix_pseudo_ellipse_torsionless(self.first_frame_order[i],
self.eigenframe, theta_x, theta_y)
+ self.second_frame_order[i] =
pseudo_ellipse_torsionless.compile_2nd_matrix_pseudo_ellipse_torsionless(self.second_frame_order[i],
Rx2_eigen, theta_x, theta_y)
+ elif model == 'double_rotor':
+ #self.first_frame_order[i] =
double_rotor.compile_1st_matrix_double_rotor(self.first_frame_order[i],
self.eigenframe, theta_x, theta_y)
+ self.second_frame_order[i] =
double_rotor.compile_2nd_matrix_double_rotor(self.second_frame_order[i],
Rx2_eigen, theta_x, theta_y)
+ else:
+ raise RelaxError("Unknown model '%s'." % model)
+
+ # Write the data.
+ self.write_data(file_name=file_name,
model_text=model_text, var=var)
def get_angle(self, index, deg=False):
@@ -110,6 +160,10 @@
# The angle of the increment.
angle = inc_angle * (index+1)
+
+ # Slightly offset from zero for the first increment, to avoid
artifacts in the pseudo-ellipse equations.
+ if angle == 0.0:
+ angle = 0.01
# Return.
if deg:
@@ -122,25 +176,69 @@
"""Initialise the storage structures."""
# Create the average rotation matrix (first order).
- self.first_frame_order = zeros((INC, 3, 3), float64)
+ self.first_frame_order = zeros((INC+1, 3, 3), float64)
# Create the frame order matrix (each element is ensemble averaged and
corresponds to a different time step).
- self.second_frame_order = zeros((INC, 9, 9), float64)
+ self.second_frame_order = zeros((INC+1, 9, 9), float64)
# Init the rotation matrix.
self.rot = zeros((3, 3), float64)
# Some data arrays.
- self.full = zeros(INC)
- self.count = zeros(INC)
-
-
- def write_data(self):
- """Dump the data to files."""
+ self.full = zeros(INC+1)
+ self.count = zeros(INC+1)
+
+
+ def setup_eigenframe(self, tag=None):
+ """Construct the eigenframe for the given tag.
+
+ @keyword tag: The frame to use. It should be one of 'in_frame',
'out_of_frame', or 'axis2_1_3'.
+ @type tag: str
+ """
+
+ # The frame order eigenframe - I.
+ if tag == 'in_frame':
+ self.eigenframe = eye(3)
+
+ # The frame order eigenframe - rotated.
+ elif tag == 'out_of_frame':
+ self.eigenframe = array([[ 2, -1, 2],
+ [ 2, 2, -1],
+ [-1, 2, 2]], float64) / 3.0
+
+ # The frame order eigenframe (and tag) - original isotropic cone axis
[2, 1, 3].
+ elif tag == 'axis2_1_3':
+ # Generate 3 orthogonal vectors.
+ vect_z = array([2, 1, 3], float64)
+ vect_x = cross(vect_z, array([1, 1, 1], float64))
+ vect_y = cross(vect_z, vect_x)
+
+ # Normalise.
+ vect_x = vect_x / norm(vect_x)
+ vect_y = vect_y / norm(vect_y)
+ vect_z = vect_z / norm(vect_z)
+
+ # Build the frame.
+ self.eigenframe = zeros((3, 3), float64)
+ self.eigenframe[:,0] = vect_x
+ self.eigenframe[:,1] = vect_y
+ self.eigenframe[:,2] = vect_z
+
+
+ def write_data(self, file_name=None, model_text=None, var=None):
+ """Dump the data to files.
+
+ @keyword file_name: The end part of the files to create. This
will be prepended by either 'Sij' or 'Sijkl'.
+ @type file_name: str
+ @keyword model_text: The text describing the model to use in the
subheading.
+ @type model_text: str
+ @keyword var: The name of the half-angle being varied for
labelling the X-axis.
+ @type var: str
+ """
# Open the files.
- file_1st = open("Sij" + self.tag, 'w')
- file_2nd = open("Sijkl" + self.tag, 'w')
+ file_1st = open("Sij" + file_name, 'w')
+ file_2nd = open("Sijkl" + file_name, 'w')
files = [file_1st, file_2nd]
# The headers.
@@ -151,14 +249,14 @@
# The titles.
file.write("@with g0\n")
if i == 0:
- file.write("@ world 0, 0, 180, 1\n")
+ file.write("@ world 0, -0.2, 180, 1\n")
else:
- file.write("@ world 0, -0.5, 180, 1\n")
+ file.write("@ world 0, -0.7, 180, 1\n")
file.write("@ title \"Calculated frame order matrix
elements\"\n")
if i == 0:
- file.write("@ subtitle \"%s, 1\\Sst\\N degree matrix\"\n" %
MODEL_TEXT)
+ file.write("@ subtitle \"%s, 1\\Sst\\N degree matrix\"\n" %
model_text)
else:
- file.write("@ subtitle \"%s, 2\\Snd\\N degree matrix\"\n" %
MODEL_TEXT)
+ file.write("@ subtitle \"%s, 2\\Snd\\N degree matrix\"\n" %
model_text)
# Legend.
if i == 0:
@@ -168,7 +266,7 @@
# Plot data.
file.write("@ xaxis bar linewidth 0.5\n")
- file.write("@ xaxis label \"Cone half-angle \\xq\\f{}\\s%s\\N
(deg.)\"\n" % VAR)
+ file.write("@ xaxis label \"Cone half-angle \\xq\\f{}\\s%s\\N
(deg.)\"\n" % var)
file.write("@ xaxis label char size 1.000000\n")
file.write("@ xaxis tick major 45\n")
file.write("@ xaxis tick major linewidth 0.5\n")
@@ -219,9 +317,9 @@
file_1st.write("@type xy\n")
# Loop over each time point.
- for k in range(INC):
+ for k in range(INC+1):
# Get the angle.
- angle = self.get_angle(k, deg=True)
+ angle = self.get_angle(k-1, deg=True)
# Write.
file_1st.write("%s %s\n" % (angle,
self.first_frame_order[k, i, j]))
@@ -242,9 +340,9 @@
file_2nd.write('@type xy\n')
# Loop over each time point.
- for k in range(INC):
+ for k in range(INC+1):
# Get the angle.
- angle = self.get_angle(k, deg=True)
+ angle = self.get_angle(k-1, deg=True)
# Write.
file_2nd.write('%s %s\n' % (angle,
self.second_frame_order[k, i, j]))
@@ -259,6 +357,9 @@
file_1st.write("@autoscale onread none\n")
file_2nd.write("@autoscale onread none\n")
+ # Close the files.
+ file_1st.close()
+ file_2nd.close()
# Calculate the frame order.
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