mailr24171 - /branches/disp_spin_speed/lib/dispersion/ns_r1rho_2site.py


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Posted by tlinnet on June 19, 2014 - 20:52:
Author: tlinnet
Date: Thu Jun 19 20:52:57 2014
New Revision: 24171

URL: http://svn.gna.org/viewcvs/relax?rev=24171&view=rev
Log:
Moved the costly calculation of the matrix exponential out of for loops.

It was the numpy.eig and numpy.inv which was draining power.

This speeds up model NS R1rho 2site, by a factor 4X:
BEFORE:
Single:
   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
        1    0.000    0.000   32.552   32.552 <string>:1(<module>)
        1    0.002    0.002   32.552   32.552 pf_nsr1rho2site:530(single)
Cluster:
   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
        1    0.000    0.000   33.307   33.307 <string>:1(<module>)
        1    0.008    0.008   33.307   33.307 pf_nsr1rho2site:554(cluster)

AFTER:
Single:
   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
        1    0.000    0.000    8.286    8.286 <string>:1(<module>)
        1    0.002    0.002    8.286    8.286 pf_nsr1rho2site:530(single)
Cluster:
   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
        1    0.000    0.000    8.223    8.223 <string>:1(<module>)
        1    0.007    0.007    8.223    8.223 pf_nsr1rho2site:554(cluster)

Task #7807 (https://gna.org/task/index.php?7807): Speed-up of dispersion 
models for Clustered analysis.

Modified:
    branches/disp_spin_speed/lib/dispersion/ns_r1rho_2site.py

Modified: branches/disp_spin_speed/lib/dispersion/ns_r1rho_2site.py
URL: 
http://svn.gna.org/viewcvs/relax/branches/disp_spin_speed/lib/dispersion/ns_r1rho_2site.py?rev=24171&r1=24170&r2=24171&view=diff
==============================================================================
--- branches/disp_spin_speed/lib/dispersion/ns_r1rho_2site.py   (original)
+++ branches/disp_spin_speed/lib/dispersion/ns_r1rho_2site.py   Thu Jun 19 
20:52:57 2014
@@ -56,7 +56,7 @@
 # relax module imports.
 from lib.dispersion.ns_matrices import rr1rho_3d, rr1rho_3d_rankN
 from lib.float import isNaN
-from lib.linear_algebra.matrix_exponential import matrix_exponential
+from lib.linear_algebra.matrix_exponential import matrix_exponential, 
matrix_exponential_rankN
 
 
 def ns_r1rho_2site(M0=None, matrix=None, r1rho_prime=None, omega=None, 
offset=None, r1=0.0, pA=None, dw=None, kex=None, spin_lock_fields=None, 
relax_time=None, inv_relax_time=None, back_calc=None, num_points=None):
@@ -106,6 +106,9 @@
     # The matrix that contains all the contributions to the evolution, i.e. 
relaxation, exchange and chemical shift evolution.
     R_mat = rr1rho_3d_rankN(R1=r1, r1rho_prime=r1rho_prime, pA=pA, pB=pB, 
dw=dw, omega=omega, offset=offset, w1=spin_lock_fields, k_AB=k_AB, k_BA=k_BA, 
relax_time=relax_time)
 
+    # This matrix is a propagator that will evolve the magnetization with 
the matrix R.
+    Rexpo_mat = matrix_exponential_rankN(R_mat)
+
     # Loop over spins.
     for si in range(NS):
         # Loop over the spectrometer frequencies.
@@ -135,19 +138,16 @@
 
                 # Loop over the time points, back calculating the R2eff 
values.
                 for j in range(num_points_i):
-                    # The matrix that contains all the contributions to the 
evolution, i.e. relaxation, exchange and chemical shift evolution.
-                    R_mat_i = R_mat[0, si, mi, oi, j]
-
                     # The following lines rotate the magnetization previous 
to spin-lock into the weff frame.
                     theta = atan2(spin_lock_fields_i[j], dA)
                     M0[0] = sin(theta)    # The A state initial X 
magnetisation.
                     M0[2] = cos(theta)    # The A state initial Z 
magnetisation.
 
                     # This matrix is a propagator that will evolve the 
magnetization with the matrix R.
-                    Rexpo = matrix_exponential(R_mat_i)
+                    Rexpo_i = Rexpo_mat[0, si, mi, oi, j]
 
                     # Magnetization evolution.
-                    MA = dot(M0, dot(Rexpo, M0))
+                    MA = dot(M0, dot(Rexpo_i, M0))
 
                     # The next lines calculate the R1rho using a two-point 
approximation, i.e. assuming that the decay is mono-exponential.
                     if MA <= 0.0 or isNaN(MA):




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