def test_legendre():
x, w = gauss_legendre(1, 17)
assert [str(r) for r in x] == ['0']
assert [str(r) for r in w] == ['2.0000000000000000']
x, w = gauss_legendre(2, 17)
assert [str(r)
for r in x] == ['-0.57735026918962576', '0.57735026918962576']
assert [str(r) for r in w] == ['1.0000000000000000', '1.0000000000000000']
x, w = gauss_legendre(3, 17)
assert [str(r) for r in x
] == ['-0.77459666924148338', '0', '0.77459666924148338']
assert [str(r) for r in w] == [
'0.55555555555555556', '0.88888888888888889', '0.55555555555555556'
]
x, w = gauss_legendre(4, 17)
assert [str(r) for r in x] == [
'-0.86113631159405258', '-0.33998104358485626', '0.33998104358485626',
'0.86113631159405258'
]
assert [str(r) for r in w] == [
'0.34785484513745386', '0.65214515486254614', '0.65214515486254614',
'0.34785484513745386'
]
def test_legendre_precise():
x, w = gauss_legendre(3, 40)
assert [str(r) for r in x] == \
['-0.7745966692414833770358530799564799221666', '0',
'0.7745966692414833770358530799564799221666']
assert [str(r) for r in w] == \
['0.5555555555555555555555555555555555555556',
'0.8888888888888888888888888888888888888889',
'0.5555555555555555555555555555555555555556']
def test_legendre_precise():
x, w = gauss_legendre(3, 40)
assert [str(r) for r in x] == \
['-0.7745966692414833770358530799564799221666', '0',
'0.7745966692414833770358530799564799221666']
assert [str(r) for r in w] == \
['0.5555555555555555555555555555555555555556',
'0.8888888888888888888888888888888888888889',
'0.5555555555555555555555555555555555555556']
def test_legendre():
x, w = gauss_legendre(1, 17)
assert [str(r) for r in x] == ['0']
assert [str(r) for r in w] == ['2.0000000000000000']
x, w = gauss_legendre(2, 17)
assert [str(r) for r in x] == ['-0.57735026918962576',
'0.57735026918962576']
assert [str(r) for r in w] == ['1.0000000000000000', '1.0000000000000000']
x, w = gauss_legendre(3, 17)
assert [str(r) for r in x] == ['-0.77459666924148338', '0',
'0.77459666924148338']
assert [str(r) for r in w] == ['0.55555555555555556',
'0.88888888888888889', '0.55555555555555556']
x, w = gauss_legendre(4, 17)
assert [str(r) for r in x] == ['-0.86113631159405258',
'-0.33998104358485626', '0.33998104358485626',
'0.86113631159405258']
assert [str(r) for r in w] == ['0.34785484513745386',
'0.65214515486254614', '0.65214515486254614',
'0.34785484513745386']