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test_utils.py
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test_utils.py
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from __future__ import absolute_import, division
import numpy as np
import pytest
import six
import energyflow as ef
def epsilon_diff(X, Y, epsilon=10**-14):
return np.all(np.abs(X - Y) < epsilon)
def epsilon_percent(X, Y, epsilon=10**-14):
return np.all(2*np.abs(X - Y)/(np.abs(X) + np.abs(Y)) < epsilon)
# test event utils
@pytest.mark.utils
@pytest.mark.gen_random
@pytest.mark.parametrize('nparticles', [10, 100])
@pytest.mark.parametrize('nevents', [20, 200])
def test_gen_massless_phase_space(nevents, nparticles):
events = ef.gen_massless_phase_space(nevents, nparticles)
assert events.shape == (nevents, nparticles, 4)
assert epsilon_diff(ef.ms_from_ps(events)**2, 0, 10**-13)
@pytest.mark.utils
@pytest.mark.gen_random
@pytest.mark.parametrize('nparticles', [10, 100])
@pytest.mark.parametrize('nevents', [20, 200])
@pytest.mark.parametrize('dim', [3, 4, 8])
@pytest.mark.parametrize('mass', [0, 1.5, 'random', 'array'])
def test_gen_random_events(nevents, nparticles, dim, mass):
if mass == 'array':
mass = np.random.rand(nevents, nparticles)
events = ef.gen_random_events(nevents, nparticles, dim=dim, mass=mass)
assert events.shape == (nevents, nparticles, dim)
if not (isinstance(mass, six.string_types) and mass == 'random'):
assert epsilon_diff(ef.ms_from_ps(events)**2, mass**2, 10**-13)
@pytest.mark.utils
@pytest.mark.gen_random
@pytest.mark.parametrize('nparticles', [10, 100])
@pytest.mark.parametrize('nevents', [20, 200])
@pytest.mark.parametrize('dim', [3, 4, 8])
def test_gen_random_events_mcom(nevents, nparticles, dim):
events = ef.gen_random_events_mcom(nevents, nparticles, dim=dim)
assert events.shape == (nevents, nparticles, dim)
assert epsilon_diff(ef.ms_from_ps(events)**2/dim, 0, 10**-12)
assert epsilon_diff(np.sum(events, axis=1)[:,1:], 0, 10**-12)
# test particle utils
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
@pytest.mark.parametrize('method', ['ptyphims_from_p4s', 'pts_from_p4s',
'pt2s_from_p4s', 'ys_from_p4s', 'etas_from_p4s',
'phis_from_p4s', 'm2s_from_p4s', 'ms_from_p4s'])
def test_shapes_from_p4s(method, nevents, nparticles):
events = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
event, particle = events[0], events[0,0]
func = getattr(ef, method)
results = func(events)
assert epsilon_diff(results[0], func(event))
assert epsilon_diff(results[0,0], func(particle))
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
@pytest.mark.parametrize('method', ['p4s_from_ptyphims', 'p4s_from_ptyphipids',])
#'sum_ptyphims', 'sum_ptyphipids'])
def test_shapes_from_ptyphis(method, nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
ptyphims = ef.ptyphims_from_p4s(p4s)
func = getattr(ef, method)
if 'ms' in method:
for end in [3,4]:
results = func(ptyphims[...,:end])
assert epsilon_diff(results[0], func(ptyphims[0,...,:end]))
elif 'pids' in method:
ptyphims[...,3] = (np.random.choice([-1., 1.], size=(nevents, nparticles)) *
np.random.choice(list(ef.utils.particle_utils.PARTICLE_MASSES.keys()),
size=(nevents, nparticles)))
results = func(ptyphims)
assert epsilon_diff(results[0], func(ptyphims[0]))
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_pts_from_p4s(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
pts = ef.pts_from_p4s(p4s)
slow_pts = []
for i in range(nevents):
event_pts = []
for j in range(nparticles):
event_pts.append(np.sqrt(p4s[i,j,1]**2 + p4s[i,j,2]**2))
slow_pts.append(event_pts)
slow_pts = np.asarray(slow_pts)
assert epsilon_diff(slow_pts, pts)
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_pt2s_from_p4s(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
pt2s = ef.pt2s_from_p4s(p4s)
slow_pt2s = []
for i in range(nevents):
event_pt2s = []
for j in range(nparticles):
event_pt2s.append(p4s[i,j,1]**2 + p4s[i,j,2]**2)
slow_pt2s.append(event_pt2s)
slow_pt2s = np.asarray(slow_pt2s)
assert epsilon_diff(slow_pt2s, pt2s)
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_ys_from_p4s(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
ys = 0.5*np.log((p4s[...,0] + p4s[...,3])/(p4s[...,0] - p4s[...,3]))
assert epsilon_diff(ys, ef.ys_from_p4s(p4s))
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_etas_from_p4s(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
p3tots = np.linalg.norm(p4s[...,1:], axis=-1)
etas = 0.5*np.log((p3tots + p4s[...,3])/(p3tots - p4s[...,3]))
assert epsilon_diff(etas, ef.etas_from_p4s(p4s), 1e-13)
@pytest.mark.utils
@pytest.mark.parametrize('phi_ref', [None, 'hardest', 'array'])
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 100])
def test_phis_from_p4s(nevents, nparticles, phi_ref):
phis = 2*np.pi*np.random.rand(nevents, nparticles, 1)
ys = 6*np.random.rand(nevents, nparticles, 1) - 3
pts = 100*np.random.rand(nevents, nparticles, 1)
ms = np.random.rand(nevents, nparticles, 1)
p4s = ef.p4s_from_ptyphims(np.concatenate((pts, ys, phis, ms), axis=-1))
if isinstance(phi_ref, str) and phi_ref == 'array':
phi_ref = 2*np.pi*np.random.rand(nevents)
new_phis = ef.phis_from_p4s(p4s, phi_ref=phi_ref)
if phi_ref is None:
assert epsilon_diff(new_phis, phis[...,0])
else:
if isinstance(phi_ref, str) and phi_ref == 'hardest':
phi_ref = np.asarray([phis[i,np.argmax(pts[i,:,0]),0] for i in range(nevents)])
assert np.all(np.abs(new_phis.T - phi_ref) <= np.pi)
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_ms_from_p4s(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
ms = ef.ms_from_p4s(p4s)
slow_ms = []
for i in range(nevents):
event_ms = []
for j in range(nparticles):
event_ms.append(np.sqrt(p4s[i,j,0]**2 - p4s[i,j,1]**2 - p4s[i,j,2]**2 - p4s[i,j,3]**2))
slow_ms.append(event_ms)
slow_ms = np.asarray(slow_ms)
assert epsilon_diff(slow_ms, ms)
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_m2s_from_p4s(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
m2s = ef.m2s_from_p4s(p4s)
slow_m2s = []
for i in range(nevents):
event_m2s = []
for j in range(nparticles):
event_m2s.append(p4s[i,j,0]**2 - p4s[i,j,1]**2 - p4s[i,j,2]**2 - p4s[i,j,3]**2)
slow_m2s.append(event_m2s)
slow_m2s = np.asarray(slow_m2s)
assert epsilon_diff(slow_m2s, m2s)
@pytest.mark.utils
@pytest.mark.yeta
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_etas_from_pts_ys_ms(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
ptyphims = ef.ptyphims_from_p4s(p4s)
etas = ef.etas_from_p4s(p4s)
etas_primes = ef.etas_from_pts_ys_ms(ptyphims[...,0], ptyphims[...,1], ptyphims[...,3])
assert epsilon_diff(etas, etas_primes, 1e-12)
# test cutoff
pts, ms = 1000*np.random.rand(25), 10*np.random.rand(25)
ys = np.random.choice([-1., 1.], size=25)*100*np.random.rand(25)
for c1,c2 in zip(np.linspace(20, 100, 5), 20 + 80*np.random.rand(5)):
etas_c1 = ef.etas_from_pts_ys_ms(pts, ys, ms, _cutoff=c1)
etas_c2 = ef.etas_from_pts_ys_ms(pts, ys, ms, _cutoff=c2)
assert epsilon_diff(etas_c1, etas_c2, 1e-12)
@pytest.mark.utils
@pytest.mark.yeta
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_ys_from_pts_etas_ms(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
ys = ef.ys_from_p4s(p4s)
y_primes = ef.ys_from_pts_etas_ms(ef.pts_from_p4s(p4s), ef.etas_from_p4s(p4s), ef.ms_from_p4s(p4s))
assert epsilon_diff(ys, y_primes, 1e-12)
# test cutoff
pts, ms = 1000*np.random.rand(25), 10*np.random.rand(25)
etas = np.random.choice([-1., 1.], size=25)*100*np.random.rand(25)
for c1,c2 in zip(np.linspace(20, 100, 5), 20 + 80*np.random.rand(5)):
ys_c1 = ef.ys_from_pts_etas_ms(pts, etas, ms, _cutoff=c1)
ys_c2 = ef.ys_from_pts_etas_ms(pts, etas, ms, _cutoff=c2)
assert epsilon_diff(ys_c1, ys_c2, 1e-12)
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 500])
@pytest.mark.parametrize('nevents', [1, 100])
def test_coordinate_transforms(nevents, nparticles):
p4s = ef.gen_random_events(nevents, nparticles, dim=4, mass='random').reshape(nevents, nparticles, 4)
ptyphims = ef.ptyphims_from_p4s(p4s)
new_p4s = ef.p4s_from_ptyphims(ptyphims)
assert epsilon_diff(p4s, new_p4s, 1e-11)
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 500])
@pytest.mark.parametrize('nevents', [1, 100])
@pytest.mark.parametrize('phi_ref', np.linspace(0, 2*np.pi, 5))
def test_phifix(phi_ref, nevents, nparticles):
phis = 2*np.pi*np.random.rand(nevents, nparticles)
phi_list, phi_single = phis[0], phis[0,0]
results = ef.phi_fix(phis, phi_ref)
# test shapes
assert epsilon_diff(results[0], ef.phi_fix(phi_list, phi_ref))
assert epsilon_diff(results[0,0], ef.phi_fix(phi_single, phi_ref))
# test values
assert np.all(np.abs(results - phi_ref) <= np.pi)
# test vector of phis
if nevents > 1:
phi_ref = 2*np.pi*np.random.rand(nevents)
results = ef.phi_fix(phis, phi_ref)
assert np.all(np.abs(results - phi_ref[:,np.newaxis])) <= np.pi
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
@pytest.mark.parametrize('dim', [2, 4, 8])
def test_ms_from_ps(dim, nevents, nparticles):
masses = np.random.rand(nevents, nparticles)
events = ef.gen_random_events(nevents, nparticles, mass=masses, dim=dim)
masses = masses.reshape(events.shape[:-1])
results = ef.ms_from_ps(events)
assert epsilon_diff(results, masses, 1e-10)
if dim == 4:
assert epsilon_diff(results, ef.ms_from_p4s(events), 1e-10)
@pytest.mark.utils
@pytest.mark.parametrize('scheme', ['escheme', 'ptscheme'])
@pytest.mark.parametrize('nparticles', [1, 20])
def test_sum_ptyphims(nparticles, scheme):
p4s = ef.gen_random_events(10, nparticles, dim=4, mass='random')
ptyphims = ef.ptyphims_from_p4s(p4s)
if scheme == 'escheme':
for ev_p4s,ev_ptyphims in zip(p4s, ptyphims):
tot = ef.p4s_from_ptyphims(ef.sum_ptyphims(ev_ptyphims, scheme=scheme))
tot_p4 = ev_p4s.sum(axis=0)
assert epsilon_diff(tot, tot_p4, 10**-12)
elif scheme == 'ptscheme':
for ev_ptyphims in ptyphims:
tot = ef.sum_ptyphims(ev_ptyphims, scheme=scheme)
pt = ev_ptyphims[:,0].sum()
y = np.sum(ev_ptyphims[:,0]*ev_ptyphims[:,1])/pt
phi = np.sum(ev_ptyphims[:,0]*ev_ptyphims[:,2])/pt
assert epsilon_diff(tot, np.array([pt,y,phi]), 10**-12)
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_pids2ms(nevents, nparticles):
pids = (np.random.choice([-1., 1.], size=(nevents, nparticles)) *
np.random.choice(list(ef.utils.particle_utils.PARTICLE_MASSES.keys()),
size=(nevents, nparticles)))
# test shapes
results = ef.pids2ms(pids)
assert epsilon_diff(results[0], ef.pids2ms(pids[0]))
assert epsilon_diff(results[0,0], ef.pids2ms(pids[0,0]))
# electron
assert ef.pids2ms(11) == 0.000511
# photon
assert ef.pids2ms(22) == 0.
# pion
assert ef.pids2ms(211) == .139570
@pytest.mark.utils
@pytest.mark.parametrize('nparticles', [1, 20])
@pytest.mark.parametrize('nevents', [1, 10])
def test_pids2chrgs(nevents, nparticles):
pids = (np.random.choice([-1., 1.], size=(nevents, nparticles)) *
np.random.choice(list(ef.utils.particle_utils.PARTICLE_MASSES.keys()),
size=(nevents, nparticles)))
# test shapes
results = ef.pids2chrgs(pids)
assert epsilon_diff(results[0], ef.pids2chrgs(pids[0]))
assert epsilon_diff(results[0,0], ef.pids2chrgs(pids[0,0]))
# electron/positron
assert ef.pids2chrgs(11) == -1.
assert ef.pids2chrgs(-11) == 1.
# photon
assert ef.pids2chrgs(22) == 0.
assert ef.pids2chrgs(-22) == 0.
# pion
assert ef.pids2chrgs(211) == 1.
assert ef.pids2chrgs(-211) == -1.
# test graph utils
@pytest.mark.utils
def test_get_graph_components():
efpset = ef.EFPSet()
ps = np.array([len(ef.utils.get_components(graph)) for graph in efpset.graphs()])
# note that the empty graph is recorded as having 1 connected component by EFPSet
assert np.all(ps[1:] == efpset.specs[1:,-2])