def test_airyai_prime(self):
# oscillating function, limit range
assert_mpmath_equal(lambda z: sc.airy(z)[1], lambda z:
mpmath.airyai(z, derivative=1),
[Arg(-1e8, 1e8)],
rtol=1e-6)
assert_mpmath_equal(lambda z: sc.airy(z)[1], lambda z:
mpmath.airyai(z, derivative=1),
[Arg(-1e3, 1e3)])
def test_airyai_prime(self):
# oscillating function, limit range
assert_mpmath_equal(lambda z: sc.airy(z)[1],
lambda z: mpmath.airyai(z, derivative=1),
[Arg(-1e8, 1e8)],
rtol=1e-6)
assert_mpmath_equal(lambda z: sc.airy(z)[1],
lambda z: mpmath.airyai(z, derivative=1),
[Arg(-1e3, 1e3)])
def make_airy_vals():
from mpmath import airyai, airybi
x = linspace(-5, 15, 21)
ai = [airyai(val) for val in x]
aip = [airyai(val, 1) for val in x]
bi = [airybi(val) for val in x]
bip = [airybi(val, 1) for val in x]
aibi = zip(zip(ai, aip), zip(bi, bip))
return make_special_vals('airy_vals', ('x', x), ('aibi', aibi))
def make_airy_vals():
from mpmath import airyai, airybi
x = linspace(-5, 15, 21)
ai = [airyai(val) for val in x]
aip = [airyai(val, 1) for val in x]
bi = [airybi(val) for val in x]
bip = [airybi(val, 1) for val in x]
aibi = list(zip(list(zip(ai, aip)), list(zip(bi, bip))))
return make_special_vals('airy_vals', ('x', x), ('aibi', aibi))
def f6(x):
# airy_Ai_deriv_scaled
scale = mpmath.exp(mpmath.mpf(2) / mpmath.mpf(3) * mpmath.sqrt(x) * x)
y = mpmath.airyai(x, derivative=1)
if x > 0.0:
y = y * scale
return y
def f2(x):
# airy_Ai_scaled
scale = mpmath.exp(mpmath.mpf(2) / mpmath.mpf(3) * mpmath.sqrt(x) * x)
y = mpmath.airyai(x)
if x > 0.0:
y = y * scale
return y
def get_mpmath_function(self, args):
return lambda x: mpmath.airyai(x, derivative=1)
def test_airyai_prime_complex(self):
assert_mpmath_equal(lambda z: sc.airy(z)[1], lambda z:
mpmath.airyai(z, derivative=1),
[ComplexArg()])
def test_airyai_prime_complex(self):
assert_mpmath_equal(lambda z: sc.airy(z)[1],
lambda z: mpmath.airyai(z, derivative=1),
[ComplexArg()])
def f0(x):
# airy_Ai
return mpmath.airyai(x)
def f4(x):
# airy_Ai_deriv
return mpmath.airyai(x, derivative=1)
def get_mpmath_function(self, args):
return lambda x: mpmath.airyai(x, derivative=1)
