def test_hermite():
x, w = gauss_hermite(1, 17)
assert [str(r) for r in x] == ['0']
assert [str(r) for r in w] == ['1.7724538509055160']
x, w = gauss_hermite(2, 17)
assert [str(r) for r in x] == ['-0.70710678118654752',
'0.70710678118654752']
assert [str(r) for r in w] == ['0.88622692545275801',
'0.88622692545275801']
x, w = gauss_hermite(3, 17)
assert [str(r) for r in x] == [
'-1.2247448713915890',
'0',
'1.2247448713915890']
assert [str(r) for r in w] == [
'0.29540897515091934',
'1.1816359006036774',
'0.29540897515091934']
x, w = gauss_hermite(4, 17)
assert [str(r) for r in x] == [
'-1.6506801238857846',
'-0.52464762327529032',
'0.52464762327529032',
'1.6506801238857846'
]
assert [str(r) for r in w] == [
'0.081312835447245177',
'0.80491409000551284',
'0.80491409000551284',
'0.081312835447245177'
]
x, w = gauss_hermite(5, 17)
assert [str(r) for r in x] == [
'-2.0201828704560856',
'-0.95857246461381851',
'0',
'0.95857246461381851',
'2.0201828704560856'
]
assert [str(r) for r in w] == [
'0.019953242059045913',
'0.39361932315224116',
'0.94530872048294188',
'0.39361932315224116',
'0.019953242059045913'
]
def test_hermite_precise():
x, w = gauss_hermite(3, 40)
assert [str(r) for r in x] == [
'-1.224744871391589049098642037352945695983', '0',
'1.224744871391589049098642037352945695983'
]
assert [str(r) for r in w] == [
'0.2954089751509193378830279138901908637996',
'1.181635900603677351532111655560763455198',
'0.2954089751509193378830279138901908637996'
]
def test_hermite_precise():
x, w = gauss_hermite(3, 40)
assert [str(r) for r in x] == [
'-1.224744871391589049098642037352945695983',
'0',
'1.224744871391589049098642037352945695983'
]
assert [str(r) for r in w] == [
'0.2954089751509193378830279138901908637996',
'1.181635900603677351532111655560763455198',
'0.2954089751509193378830279138901908637996'
]
def test_hermite():
x, w = gauss_hermite(1, 17)
assert [str(r) for r in x] == ['0']
assert [str(r) for r in w] == ['1.7724538509055160']
x, w = gauss_hermite(2, 17)
assert [str(r)
for r in x] == ['-0.70710678118654752', '0.70710678118654752']
assert [str(r)
for r in w] == ['0.88622692545275801', '0.88622692545275801']
x, w = gauss_hermite(3, 17)
assert [str(r)
for r in x] == ['-1.2247448713915890', '0', '1.2247448713915890']
assert [str(r) for r in w] == [
'0.29540897515091934', '1.1816359006036774', '0.29540897515091934'
]
x, w = gauss_hermite(4, 17)
assert [str(r) for r in x] == [
'-1.6506801238857846', '-0.52464762327529032', '0.52464762327529032',
'1.6506801238857846'
]
assert [str(r) for r in w] == [
'0.081312835447245177', '0.80491409000551284', '0.80491409000551284',
'0.081312835447245177'
]
x, w = gauss_hermite(5, 17)
assert [str(r) for r in x] == [
'-2.0201828704560856', '-0.95857246461381851', '0',
'0.95857246461381851', '2.0201828704560856'
]
assert [str(r) for r in w] == [
'0.019953242059045913', '0.39361932315224116', '0.94530872048294188',
'0.39361932315224116', '0.019953242059045913'
]