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from iminuit._core import (
FCN,
MnUserParameterState,
MnUserTransformation,
MnMigrad,
MnStrategy,
MnScan,
FunctionMinimum,
MnSimplex,
MnPrint,
MnUserCovariance,
MinimumState,
)
from pytest import approx
import pytest
import pickle
import numpy as np
@pytest.fixture
def debug():
prev = MnPrint.global_level
MnPrint.global_level = 3
MnPrint.show_prefix_stack(True)
yield
MnPrint.global_level = prev
MnPrint.show_prefix_stack(False)
def test_MnStrategy():
assert MnStrategy() == 1
assert MnStrategy(0) == 0
assert MnStrategy(2) == 2
s = MnStrategy()
s.strategy = 2
assert s.strategy == 2
assert s != 1
assert not (s != 2)
def test_MnUserCovariance():
c = MnUserCovariance((1, 2, 3), 2)
assert c.nrow == 2
assert c[(0, 0)] == 1
assert c[(1, 0)] == 2
assert c[(0, 1)] == 2
assert c[(1, 1)] == 3
pkl = pickle.dumps(c)
c2 = pickle.loads(pkl)
assert c2.nrow == 2
assert c2[(0, 0)] == 1
assert c2[(1, 1)] == 3
assert c2 == c
def fn(x, y):
return 10 + x**2 + ((y - 1) / 2) ** 2
def fn_grad(x, y):
return (2 * x, y - 1)
def test_MnUserParameterState():
st = MnUserParameterState()
st.add("x", 1, 0.2)
st.add("😁", 3, 0.3, 1, 4)
assert len(st) == 2
assert st[0].number == 0
assert st[0].name == "x"
assert st[0].value == 1
assert st[0].error == 0.2
assert st[1].number == 1
assert st[1].name == "😁"
assert st[1].value == 3
assert st[1].error == 0.3
assert st[1].lower_limit == 1
assert st[1].upper_limit == 4
st2 = MnUserParameterState(st)
assert st2 == st
st2.set_value(0, 1.1)
assert st2 != st
def test_MnMigrad():
fcn = FCN(fn, None, False, 1)
state = MnUserParameterState()
state.add("x", 5, 0.1)
state.add("y", 3, 0.2, -5, 5)
migrad = MnMigrad(fcn, state, 1)
fmin = migrad(0, 0.1)
assert fmin.is_valid
state = fmin.state
assert state[0].value == approx(0, abs=5e-3)
assert state[0].error == approx(1, abs=5e-3)
assert state[1].value == approx(1, abs=5e-3)
assert state[1].error == approx(2, abs=6e-2)
assert fcn._nfcn > 0
assert fcn._ngrad == 0
def test_MnMigrad_grad():
fcn = FCN(lambda x: 10 + x**2, lambda x: [2 * x], False, 1)
state = MnUserParameterState()
state.add("x", 5, 0.1)
migrad = MnMigrad(fcn, state, 1)
fmin = migrad(0, 0.1)
state = fmin.state
assert len(state) == 1
assert state[0].number == 0
assert state[0].name == "x"
assert state[0].value == approx(0, abs=1e-3)
assert state[0].error == approx(1, abs=1e-3)
assert fcn._nfcn > 0
assert fcn._ngrad > 0
def test_MnMigrad_cfunc():
nb = pytest.importorskip("numba")
c_sig = nb.types.double(nb.types.uintc, nb.types.CPointer(nb.types.double))
y = np.arange(5)
@nb.cfunc(c_sig)
def fcn(n, x):
x = nb.carray(x, (n,))
r = 0.0
for i in range(n):
r += (y[i] - x[i]) ** 2
return r
fcn = FCN(fcn, None, True, 1)
state = MnUserParameterState()
for i in range(len(y)):
state.add(f"x{i}", 5, 0.1)
migrad = MnMigrad(fcn, state, 1)
fmin = migrad(0, 0.1)
state = fmin.state
assert len(state) == len(y)
for i, p in enumerate(state):
assert p.number == i
assert p.value == approx(i, abs=1e-3)
assert p.error == approx(1, abs=1e-3)
def test_MnMigrad_np():
fcn = FCN(
lambda xy: 10 + xy[0] ** 2 + ((xy[1] - 1) / 2) ** 2,
lambda xy: [2 * xy[0], (xy[1] - 1)],
True,
1,
)
state = MnUserParameterState()
state.add("x", 5, 0.1)
state.add("😁", 3, 0.2, -5, 5)
assert len(state) == 2
str = MnStrategy(2)
migrad = MnMigrad(fcn, state, str)
fmin = migrad(0, 0.1)
state = fmin.state
assert len(state) == 2
assert state[0].number == 0
assert state[0].name == "x"
assert state[0].value == approx(0, abs=1e-2)
assert state[0].error == approx(1, abs=1e-2)
assert state[1].number == 1
assert state[1].name == "😁"
assert state[1].value == approx(1, abs=1e-2)
assert state[1].error == approx(2, abs=6e-2)
assert fcn._nfcn > 0
assert fcn._ngrad > 0
def test_MnScan():
fcn = FCN(lambda x: 10 + x**2, None, False, 1)
state = MnUserParameterState()
state.add("x", 2, 5)
scan = MnScan(fcn, state, 1)
fmin = scan(0, 0.1)
assert fmin.is_valid
state = fmin.state
assert len(state) == 1
assert state[0].value == approx(0, abs=1e-2)
def test_MnSimplex():
fcn = FCN(lambda x: 10 + x**2, None, False, 1)
state = MnUserParameterState()
state.add("x", 2, 5)
simplex = MnSimplex(fcn, state, 1)
fmin = simplex(0, 0.1)
assert fmin.is_valid
state = fmin.state
assert len(state) == 1
assert state[0].value == approx(0, abs=5e-2)
def test_FunctionMinimum():
fcn = FCN(lambda x: 10 + x**2, None, False, 1)
st = MnUserParameterState()
st.add("x", 0.01, 5)
str = MnStrategy(1)
fm1 = FunctionMinimum(fcn, st, str, 0.2)
assert fm1.is_valid
assert len(fm1.state) == 1
assert fm1.fval == 10.0001
fm2 = FunctionMinimum(fcn, st, str, 0)
assert not fm2.is_valid
def test_FunctionMinimum_pickle():
st = MnUserParameterState()
st.add("x", 1, 0.1)
st.add("y", 2, 0.1, 1, 3)
fm = FunctionMinimum(FCN(fn, None, False, 1), st, 1, 0.1)
pkl = pickle.dumps(fm)
fm2 = pickle.loads(pkl)
assert len(fm.state) == len(fm2.state)
assert fm.state == fm2.state
assert fm.edm == fm2.edm
assert fm.fval == fm2.fval
assert fm.is_valid == fm2.is_valid
assert fm.has_accurate_covar == fm2.has_accurate_covar
assert fm.has_posdef_covar == fm2.has_posdef_covar
assert fm.has_made_posdef_covar == fm2.has_made_posdef_covar
assert fm.hesse_failed == fm2.hesse_failed
assert fm.has_covariance == fm2.has_covariance
assert fm.is_above_max_edm == fm2.is_above_max_edm
assert fm.has_reached_call_limit == fm2.has_reached_call_limit
assert fm.errordef == fm2.errordef
def test_MnUserTransformation_pickle():
tr = MnUserTransformation()
pkl = pickle.dumps(tr)
tr2 = pickle.loads(pkl)
assert len(tr2) == len(tr)
def test_MinimumState_pickle():
st = MinimumState(3)
pkl = pickle.dumps(st)
st2 = pickle.loads(pkl)
assert st.vec == st2.vec
assert st.fval == st2.fval
assert st.edm == st2.edm
assert st.nfcn == st2.nfcn
assert st.is_valid == st2.is_valid
assert st.has_parameters == st2.has_parameters
assert st.has_covariance == st2.has_covariance
|
