def test_laguerre_precise():
x, w = gauss_laguerre(3, 40)
assert [str(r) for r in x] == \
['0.4157745567834790833115338731282744735466',
'2.294280360279041719822050361359593868960',
'6.289945082937479196866415765512131657493']
assert [str(r) for r in w] == \
['0.7110930099291730154495901911425944313094',
'0.2785177335692408488014448884567264810349',
'0.01038925650158613574896492040067908765572']
def test_laguerre_precise():
x, w = gauss_laguerre(3, 40)
assert [str(r) for r in x] == \
['0.4157745567834790833115338731282744735466',
'2.294280360279041719822050361359593868960',
'6.289945082937479196866415765512131657493']
assert [str(r) for r in w] == \
['0.7110930099291730154495901911425944313094',
'0.2785177335692408488014448884567264810349',
'0.01038925650158613574896492040067908765572']
def test_laguerre():
x, w = gauss_laguerre(1, 17)
assert [str(r) for r in x] == ['1.0000000000000000']
assert [str(r) for r in w] == ['1.0000000000000000']
x, w = gauss_laguerre(2, 17)
assert [str(r) for r in x] == ['0.58578643762690495', '3.4142135623730950']
assert [str(r)
for r in w] == ['0.85355339059327376', '0.14644660940672624']
x, w = gauss_laguerre(3, 17)
assert [str(r) for r in x] == [
'0.41577455678347908',
'2.2942803602790417',
'6.2899450829374792',
]
assert [str(r) for r in w] == [
'0.71109300992917302',
'0.27851773356924085',
'0.010389256501586136',
]
x, w = gauss_laguerre(4, 17)
assert [str(r) for r in x] == [
'0.32254768961939231', '1.7457611011583466', '4.5366202969211280',
'9.3950709123011331'
]
assert [str(r) for r in w] == [
'0.60315410434163360', '0.35741869243779969', '0.038887908515005384',
'0.00053929470556132745'
]
x, w = gauss_laguerre(5, 17)
assert [str(r) for r in x] == [
'0.26356031971814091', '1.4134030591065168', '3.5964257710407221',
'7.0858100058588376', '12.640800844275783'
]
assert [str(r) for r in w] == [
'0.52175561058280865', '0.39866681108317593', '0.075942449681707595',
'0.0036117586799220485', '2.3369972385776228e-5'
]
def test_laguerre():
x, w = gauss_laguerre(1, 17)
assert [str(r) for r in x] == ['1.0000000000000000']
assert [str(r) for r in w] == ['1.0000000000000000']
x, w = gauss_laguerre(2, 17)
assert [str(r) for r in x] == ['0.58578643762690495',
'3.4142135623730950']
assert [str(r) for r in w] == ['0.85355339059327376',
'0.14644660940672624']
x, w = gauss_laguerre(3, 17)
assert [str(r) for r in x] == [
'0.41577455678347908',
'2.2942803602790417',
'6.2899450829374792',
]
assert [str(r) for r in w] == [
'0.71109300992917302',
'0.27851773356924085',
'0.010389256501586136',
]
x, w = gauss_laguerre(4, 17)
assert [str(r) for r in x] == ['0.32254768961939231', '1.7457611011583466',
'4.5366202969211280', '9.3950709123011331']
assert [str(r) for r in w] == ['0.60315410434163360',
'0.35741869243779969', '0.038887908515005384',
'0.00053929470556132745']
x, w = gauss_laguerre(5, 17)
assert [str(r) for r in x] == ['0.26356031971814091', '1.4134030591065168',
'3.5964257710407221', '7.0858100058588376', '12.640800844275783']
assert [str(r) for r in w] == ['0.52175561058280865',
'0.39866681108317593', '0.075942449681707595',
'0.0036117586799220485', '2.3369972385776228e-5']