def test_chebyshev_u_precise():
x, w = gauss_chebyshev_u(3, 40)
assert [str(r) for r in x] == [
'0.7071067811865475244008443621048490392848',
'0',
'-0.7071067811865475244008443621048490392848']
assert [str(r) for r in w] == [
'0.3926990816987241548078304229099378605246',
'0.7853981633974483096156608458198757210493',
'0.3926990816987241548078304229099378605246']
def test_chebyshev_u_precise():
x, w = gauss_chebyshev_u(3, 40)
assert [str(r) for r in x] == [
'0.7071067811865475244008443621048490392848', '0',
'-0.7071067811865475244008443621048490392848'
]
assert [str(r) for r in w] == [
'0.3926990816987241548078304229099378605246',
'0.7853981633974483096156608458198757210493',
'0.3926990816987241548078304229099378605246'
]
def test_chebyshev_u():
x, w = gauss_chebyshev_u(1, 17)
assert [str(r) for r in x] == ['0']
assert [str(r) for r in w] == ['1.5707963267948966']
x, w = gauss_chebyshev_u(2, 17)
assert [str(r) for r in x] == ['0.50000000000000000',
'-0.50000000000000000']
assert [str(r) for r in w] == ['0.78539816339744831',
'0.78539816339744831']
x, w = gauss_chebyshev_u(3, 17)
assert [str(r) for r in x] == ['0.70710678118654752',
'0',
'-0.70710678118654752']
assert [str(r) for r in w] == ['0.39269908169872415',
'0.78539816339744831',
'0.39269908169872415']
x, w = gauss_chebyshev_u(4, 17)
assert [str(r) for r in x] == ['0.80901699437494742',
'0.30901699437494742',
'-0.30901699437494742',
'-0.80901699437494742']
assert [str(r) for r in w] == ['0.21707871342270599',
'0.56831944997474231',
'0.56831944997474231',
'0.21707871342270599']
x, w = gauss_chebyshev_u(5, 17)
assert [str(r) for r in x] == ['0.86602540378443865',
'0.50000000000000000',
'0',
'-0.50000000000000000',
'-0.86602540378443865']
assert [str(r) for r in w] == ['0.13089969389957472',
'0.39269908169872415',
'0.52359877559829887',
'0.39269908169872415',
'0.13089969389957472']
def test_chebyshev_u():
x, w = gauss_chebyshev_u(1, 17)
assert [str(r) for r in x] == ['0']
assert [str(r) for r in w] == ['1.5707963267948966']
x, w = gauss_chebyshev_u(2, 17)
assert [str(r)
for r in x] == ['0.50000000000000000', '-0.50000000000000000']
assert [str(r)
for r in w] == ['0.78539816339744831', '0.78539816339744831']
x, w = gauss_chebyshev_u(3, 17)
assert [str(r) for r in x
] == ['0.70710678118654752', '0', '-0.70710678118654752']
assert [str(r) for r in w] == [
'0.39269908169872415', '0.78539816339744831', '0.39269908169872415'
]
x, w = gauss_chebyshev_u(4, 17)
assert [str(r) for r in x] == [
'0.80901699437494742', '0.30901699437494742', '-0.30901699437494742',
'-0.80901699437494742'
]
assert [str(r) for r in w] == [
'0.21707871342270599', '0.56831944997474231', '0.56831944997474231',
'0.21707871342270599'
]
x, w = gauss_chebyshev_u(5, 17)
assert [str(r) for r in x] == [
'0.86602540378443865', '0.50000000000000000', '0',
'-0.50000000000000000', '-0.86602540378443865'
]
assert [str(r) for r in w] == [
'0.13089969389957472', '0.39269908169872415', '0.52359877559829887',
'0.39269908169872415', '0.13089969389957472'
]