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test_library.py
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test_library.py
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# -*- coding: utf-8 -*-
import pytest
import minpack.library
import numpy as np
from math import sqrt
@pytest.mark.parametrize("driver", [minpack.library.hybrd1, minpack.library.hybrd])
def test_hybrd(driver):
def fcn(x, fvec) -> None:
for k in range(x.size):
tmp = (3.0 - 2.0 * x[k]) * x[k]
tmp1 = x[k - 1] if k > 0 else 0.0
tmp2 = x[k + 1] if k < len(x) - 1 else 0.0
fvec[k] = tmp - tmp1 - 2.0 * tmp2 + 1.0
x = np.array(9 * [-1.0])
fvec = np.zeros(9, dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
assert driver(fcn, x, fvec, tol) == 1
assert pytest.approx(x, abs=10 * tol) == [
-0.5706545,
-0.6816283,
-0.7017325,
-0.7042129,
-0.7013690,
-0.6918656,
-0.6657920,
-0.5960342,
-0.4164121,
]
@pytest.mark.parametrize("driver", [minpack.library.hybrd1, minpack.library.hybrd])
def test_hybrd_exception(driver):
class DummyException(Exception):
...
def fcn(x, fvec) -> None:
raise DummyException()
x = np.array(9 * [-1.0])
fvec = np.zeros(9, dtype=np.float64)
with pytest.raises(DummyException):
driver(fcn, x, fvec)
@pytest.mark.parametrize("driver", [minpack.library.hybrj1, minpack.library.hybrj])
def test_hybrj(driver):
def fcn(x, fvec, fjac, jacobian: bool) -> None:
if jacobian:
for k in range(x.size):
for j in range(x.size):
fjac[k, j] = 0.0
fjac[k, k] = 3.0 - 4.0 * x[k]
if k > 0:
fjac[k, k - 1] = -1.0
if k < x.size - 1:
fjac[k, k + 1] = -2.0
else:
for k in range(x.size):
tmp = (3.0 - 2.0 * x[k]) * x[k]
tmp1 = x[k - 1] if k > 0 else 0.0
tmp2 = x[k + 1] if k < len(x) - 1 else 0.0
fvec[k] = tmp - tmp1 - 2.0 * tmp2 + 1.0
x = np.array(9 * [-1.0])
fvec = np.zeros(9, dtype=np.float64)
fjac = np.zeros((9, 9), dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
assert driver(fcn, x, fvec, fjac, tol) == 1
assert pytest.approx(x, abs=10 * tol) == [
-0.5706545,
-0.6816283,
-0.7017325,
-0.7042129,
-0.7013690,
-0.6918656,
-0.6657920,
-0.5960342,
-0.4164121,
]
@pytest.mark.parametrize("driver", [minpack.library.hybrj1, minpack.library.hybrj])
def test_hybrj_exception(driver):
class DummyException(Exception):
...
def fcn(x, fvec, fjac, jacobian) -> None:
raise DummyException()
x = np.array(9 * [-1.0])
fvec = np.zeros(9, dtype=np.float64)
fjac = np.zeros((9, 9), dtype=np.float64)
with pytest.raises(DummyException):
driver(fcn, x, fvec, fjac)
@pytest.mark.parametrize("driver", [minpack.library.lmder1, minpack.library.lmder])
def test_lmder(driver):
y = np.array(
[
1.4e-1,
1.8e-1,
2.2e-1,
2.5e-1,
2.9e-1,
3.2e-1,
3.5e-1,
3.9e-1,
3.7e-1,
5.8e-1,
7.3e-1,
9.6e-1,
1.34e0,
2.1e0,
4.39e0,
]
)
def fcn(x, fvec, fjac, jacobian: bool, y) -> None:
if jacobian:
for i in range(fvec.size):
tmp1, tmp2 = i + 1, 16 - i - 1
tmp3 = tmp2 if i >= 8 else tmp1
tmp4 = (x[1] * tmp2 + x[2] * tmp3) ** 2
fjac[0, i] = -1.0
fjac[1, i] = tmp1 * tmp2 / tmp4
fjac[2, i] = tmp1 * tmp3 / tmp4
else:
for i in range(fvec.size):
tmp1, tmp2 = i + 1, 16 - i - 1
tmp3 = tmp2 if i >= 8 else tmp1
fvec[i] = y[i] - (x[0] + tmp1 / (x[1] * tmp2 + x[2] * tmp3))
x = np.array([1.0, 1.0, 1.0])
fvec = np.zeros(15, dtype=np.float64)
fjac = np.zeros((3, 15), dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
xp = np.zeros(3, dtype=np.float64)
fvecp = np.zeros(15, dtype=np.float64)
err = np.zeros(15, dtype=np.float64)
minpack.library.chkder(x, fvec, fjac, xp, fvecp, False, err)
fcn(x, fvec, fjac, False, y=y)
fcn(x, fvec, fjac, True, y=y)
fcn(xp, fvecp, fjac, False, y=y)
minpack.library.chkder(x, fvec, fjac, xp, fvecp, True, err)
assert pytest.approx(err) == 15 * [1.0]
assert driver(fcn, x, fvec, fjac, tol, y=y) == 1
assert pytest.approx(x, abs=100 * tol) == [0.8241058e-1, 0.1133037e1, 0.2343695e1]
@pytest.mark.parametrize("driver", [minpack.library.lmder1, minpack.library.lmder])
def test_lmder_exception(driver):
class DummyException(Exception):
...
def fcn(x, fvec, fjac, jacobian: bool) -> None:
raise DummyException()
x = np.array([1.0, 1.0, 1.0])
fvec = np.zeros(15, dtype=np.float64)
fjac = np.zeros((3, 15), dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
with pytest.raises(DummyException):
driver(fcn, x, fvec, fjac, tol)
@pytest.mark.parametrize("driver", [minpack.library.lmdif1, minpack.library.lmdif])
def test_lmdif(driver):
y = np.array(
[
1.4e-1,
1.8e-1,
2.2e-1,
2.5e-1,
2.9e-1,
3.2e-1,
3.5e-1,
3.9e-1,
3.7e-1,
5.8e-1,
7.3e-1,
9.6e-1,
1.34e0,
2.1e0,
4.39e0,
]
)
def fcn(x, fvec, y) -> None:
for i in range(fvec.size):
tmp1, tmp2 = i + 1, 16 - i - 1
tmp3 = tmp2 if i >= 8 else tmp1
fvec[i] = y[i] - (x[0] + tmp1 / (x[1] * tmp2 + x[2] * tmp3))
x = np.array([1.0, 1.0, 1.0])
fvec = np.zeros(15, dtype=np.float64)
fjac = np.zeros((3, 15), dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
assert driver(fcn, x, fvec, tol, y=y) == 1
assert pytest.approx(x, abs=100 * tol) == [0.8241058e-1, 0.1133037e1, 0.2343695e1]
@pytest.mark.parametrize("driver", [minpack.library.lmdif1, minpack.library.lmdif])
def test_lmdif_exception(driver):
class DummyException(Exception):
...
def fcn(x, fvec) -> None:
raise DummyException()
x = np.array([1.0, 1.0, 1.0])
fvec = np.zeros(15, dtype=np.float64)
fjac = np.zeros((3, 15), dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
with pytest.raises(DummyException):
driver(fcn, x, fvec, tol)
@pytest.mark.parametrize("driver", [minpack.library.lmstr1, minpack.library.lmstr])
def test_lmstr(driver):
def fcn(x, fvec, fjrow, row) -> None:
if row is None:
fvec[0] = 10.0 * (x[1] - x[0] ** 2)
fvec[1] = 1.0 - x[0]
else:
fjrow[0] = -20.0 * x[0] if row == 0 else -1.0
fjrow[1] = 10.0 if row == 0 else 0.0
x = np.array([-1.2, 1.0])
fvec = np.zeros(2, dtype=np.float64)
fjac = np.zeros((2, 2), dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
assert driver(fcn, x, fvec, fjac, tol) == 4
assert pytest.approx(x, abs=100 * tol) == 2 * [1.0]
@pytest.mark.parametrize("driver", [minpack.library.lmstr1, minpack.library.lmstr])
def test_lmstr_exception(driver):
class DummyException(Exception):
...
def fcn(x, fvec, fjrow, row) -> None:
raise DummyException()
x = np.array([-1.2, 1.0])
fvec = np.zeros(2, dtype=np.float64)
fjac = np.zeros((2, 2), dtype=np.float64)
tol = sqrt(np.finfo(np.float64).eps)
with pytest.raises(DummyException):
driver(fcn, x, fvec, fjac, tol)