def test_cohen_alt_0():
mp.dps = 17
AC = mp.cohen_alt()
S, s, n = [], 0, 1
while 1:
s += -((-1)**n) * mp.one / (n * n)
n += 1
S.append(s)
v, e = AC.update_psum(S)
if e < mp.eps:
break
if n > 1000: raise RuntimeError("iteration limit exceeded")
eps = mp.exp(0.9 * mp.log(mp.eps))
err = abs(v - mp.pi**2 / 12)
assert err < eps
def test_cohen_alt_0():
mp.dps = 17
AC = mp.cohen_alt()
S, s, n = [], 0, 1
while 1:
s += -((-1) ** n) * mp.one / (n * n)
n += 1
S.append(s)
v, e = AC.update_psum(S)
if e < mp.eps:
break
if n > 1000: raise RuntimeError("iteration limit exceeded")
eps = mp.exp(0.9 * mp.log(mp.eps))
err = abs(v - mp.pi ** 2 / 12)
assert err < eps
def test_cohen_alt_1():
mp.dps = 17
A = []
AC = mp.cohen_alt()
n = 1
while 1:
A.append(mp.loggamma(1 + mp.one / (2 * n - 1)))
A.append(-mp.loggamma(1 + mp.one / (2 * n)))
n += 1
v, e = AC.update(A)
if e < mp.eps:
break
if n > 1000: raise RuntimeError("iteration limit exceeded")
v = mp.exp(v)
err = abs(v - 1.06215090557106)
assert err < 1e-12
def test_cohen_alt_1():
mp.dps = 17
A = []
AC = mp.cohen_alt()
n = 1
while 1:
A.append( mp.loggamma(1 + mp.one / (2 * n - 1)))
A.append(-mp.loggamma(1 + mp.one / (2 * n)))
n += 1
v, e = AC.update(A)
if e < mp.eps:
break
if n > 1000: raise RuntimeError("iteration limit exceeded")
v = mp.exp(v)
err = abs(v - 1.06215090557106)
assert err < 1e-12