import numpy as np
import unittest
from ensembler.analysis.freeEnergyCalculation import zwanzigEquation, threeStateZwanzig, bennetAcceptanceRatio
[docs]class test_ZwanzigEquation(unittest.TestCase):
feCalculation = zwanzigEquation
[docs] def test_constructor(self):
print(self.feCalculation())
[docs] def test_free_Energy1(self):
feCalc = self.feCalculation(kT=True)
# Ensemble Params
V1_min = 1
V2_min = 2
V1_noise = 0.1
V2_noise = 0.1
samples = 10000
V1 = np.random.normal(V1_min, V1_noise, samples)
V2 = np.random.normal(V2_min, V2_noise, samples)
dF_ana = V2_min - V1_min
dF_zwanzig = feCalc.calculate(Vi=V1, Vj=V2)
np.testing.assert_almost_equal(desired=dF_ana, actual=dF_zwanzig, decimal=2)
class test_BAR(test_ZwanzigEquation):
feCalculation = bennetAcceptanceRatio
def test_free_Energy1(self):
feCalc = self.feCalculation(kT=True)
# simulate Bar conditions
samples = 10000
# ensemble 1
V1_min = 1
V1_noise_1 = 0.1
V2_off = 2
V2_noise_1 = 0.1
# ensemble 1
V1_off = 2
V1_noise_2 = 0.1
V2_min = 1
V2_noise_2 = 0.1
# Distributions
V1_1 = np.random.normal(V1_min, V1_noise_1, samples)
V2_1 = np.random.normal(V2_off, V2_noise_1, samples)
V1_2 = np.random.normal(V1_off, V1_noise_2, samples)
V2_2 = np.random.normal(V2_min, V2_noise_2, samples)
dF_bar = feCalc.calculate(Vi_i=V1_1, Vj_i=V2_1, Vi_j=V1_2, Vj_j=V2_2)
print(dF_bar)
dF_ana = 1.000000000000
np.testing.assert_almost_equal(desired=dF_ana, actual=dF_bar, decimal=2)
[docs]class test_BAR(test_ZwanzigEquation):
feCalculation = bennetAcceptanceRatio
[docs] def test_free_Energy1(self):
feCalc = self.feCalculation(kT=True)
# simulate Bar conditions
samples = 10000
# ensemble 1
V1_min = 1
V1_noise_1 = 0.01
V2_off = 2
V2_noise_1 = 0.01
# ensemble 1
V1_off = 2
V1_noise_2 = 0.01
V2_min = 1
V2_noise_2 = 0.01
# Distributions
V1_1 = np.random.normal(V1_min, V1_noise_1, samples)
V2_1 = np.random.normal(V2_off, V2_noise_1, samples)
V1_2 = np.random.normal(V1_off, V1_noise_2, samples)
V2_2 = np.random.normal(V2_min, V2_noise_2, samples)
dF_bar = feCalc.calculate(Vi_i=V1_1, Vj_i=V2_1, Vi_j=V1_2, Vj_j=V2_2, verbose=True)
print(dF_bar)
dF_ana = 0.000000000000
np.testing.assert_almost_equal(desired=dF_ana, actual=dF_bar, decimal=2)
[docs]class test_threeStateZwanzigReweighting(test_ZwanzigEquation):
feCalculation = threeStateZwanzig
[docs] def test_free_Energy1(self):
feCalc = self.feCalculation(kT=True)
sample_state1 = 10000
sample_state2 = 10000
# State 1 description
state_1 = 1
state_1_noise = 0.01
# State 2 description
state_2 = 1
state_2_noise = 0.01
# OffSampling
energy_off_state = 10
noise_off_state = 0.01
V1 = np.concatenate([np.random.normal(state_1, state_1_noise, sample_state1),
np.random.normal(energy_off_state, noise_off_state, sample_state2)])
V2 = np.concatenate([np.random.normal(energy_off_state, noise_off_state, sample_state1),
np.random.normal(state_2, state_2_noise, sample_state2)])
Vr = np.concatenate([np.random.normal(state_1, state_1_noise, sample_state1),
np.random.normal(state_2, state_2_noise, sample_state2)])
dF_ana = state_2 - state_1
dFRew_zwanz = feCalc.calculate(Vi=V1, Vj=V2, Vr=Vr)
np.testing.assert_almost_equal(desired=dF_ana, actual=dFRew_zwanz, decimal=2)