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2to14.py
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2to14.py
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import numpy as np
import subprocess
import multiprocessing as mp
# Make Changes Here #
folderName = "./2to14/"
getData = True
pairList = np.array([(8, 2048), (16, 1024), (32, 512), (64, 256), (128, 128), (256, 64),
(512, 32), (1024, 16), (2048, 8)])
paramLabels = np.array(["Reduced thickness", "Nucleon-Width"])
paramMins = np.array([0, 0.5]) # [param1_min, param2_min, ..., paramN_min]
paramMaxs = np.array([0.5, 1.2]) # [param1_max, param2_max, ..., paramN_max]
obsLabels = np.array([r"$\epsilon$2", r"$\epsilon$3"])
paramTruths = np.array([0.314, 0.618])
dataUncert = 65536
# Trento options
def trentoRun(params, nTrent, uncert=False):
string = '../build/src/trento Pb Pb ' + str(nTrent) + ' -p ' + str(params[0]) + ' -w ' + str(params[1])
with subprocess.Popen(string.split(), stdout=subprocess.PIPE) as proc:
data = np.array([l.split() for l in proc.stdout], dtype=float)[:, 4]
with subprocess.Popen(string.split(), stdout=subprocess.PIPE) as proc:
data2 = np.array([l.split() for l in proc.stdout], dtype=float)[:, 5]
aveg = np.mean(data)
aveg2 = np.mean(data2)
if uncert:
std1 = np.std(data) / np.sqrt(nTrent)
std2 = np.std(data2) / np.sqrt(nTrent)
return np.array([(aveg, aveg2), (std1, std2)])
return np.array([(aveg, aveg2)])
# DO NOT MAKE CHANGES BELOW #
################################################################
# Function that spaces out the design points quasi-randomly in a latin hypercube
def get_quasirandom_sequence(dim, num_samples):
def phi(dd):
x = 2.0000
for iii in range(10):
x = pow(1 + x, 1 / (dd + 1))
return x
d = dim # Number of dimensions
n = num_samples # Number of design points
g = phi(d)
alpha = np.zeros(d)
for j in range(d):
alpha[j] = pow(1 / g, j + 1) % 1
z = np.zeros((n, d))
# This number can be any real number.
# Common default setting is typically seed=0
# But seed = 0.5 is generally better.
seed = 0.5
for i in range(len(z)):
z[i] = (seed + alpha * (i + 1)) % 1
return z
# Get the observable truth and data uncertainty
obsTruths = trentoRun(paramTruths, dataUncert, uncert=True)
print(paramTruths[0], paramTruths[1], obsTruths[0], obsTruths[1])
def saving(aa):
totDesPts = pairList[aa][0]
nTrentoRuns = pairList[aa][1] # Number of times to run Trento
accessFileName = "" + folderName + str(totDesPts) + "dp" + str(nTrentoRuns) + "tr"
dpFileName = "" + folderName + str(totDesPts) + "dp" + str(nTrentoRuns) + "trDP"
obsFileName = "" + folderName + str(totDesPts) + "dp" + str(nTrentoRuns) + "trObs"
# Storage: [data file names], amount of Design Points, [parameter names], [parameter min values],
# [parameter max values], [parameter truths], [observable names], [observable truths],
# number of trento runs per design point
store1 = np.array([[dpFileName, obsFileName], totDesPts, paramLabels, paramMins, paramMaxs, paramTruths,
obsLabels, obsTruths, nTrentoRuns], dtype=object)
np.save(accessFileName, store1)
print("Saved parameters file, dp: " + str(totDesPts) + ", tr: " + str(nTrentoRuns))
if getData:
unit_random_sequence = get_quasirandom_sequence(len(paramLabels), totDesPts)
design_points = np.zeros(np.shape(unit_random_sequence))
observables = np.zeros((len(design_points), len(obsTruths[0])))
# For each design point, get an observable and store both the design point's
# coordinates in the parameter space and the observables' values
for ii in range(len(design_points)):
for jj in range(len(paramLabels)):
design_points[ii][jj] = paramMins[jj] + unit_random_sequence[ii][jj] * (paramMaxs[jj] - paramMins[jj])
observables[ii] = trentoRun(design_points[ii], nTrentoRuns)
np.save(dpFileName, design_points)
np.save(obsFileName, observables)
print("Saved design points and observables, dp: " + str(totDesPts) + ", tr: " + str(nTrentoRuns))
# plt.plot(design_points[:, 0], design_points[:, 1], 'b.')
# plt.show()
# Use multiprocessing to make script run faster
pool = mp.Pool()
pool.map(saving, range(len(pairList)))