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Python

from __future__ import division, print_function, absolute_import
import numpy as np
import scipy.special as sc
from scipy.special._testutils import FuncData
def test_sici_consistency():
# Make sure the implementation of sici for real arguments agrees
# with the implementation of sici for complex arguments.
# On the negative real axis Cephes drops the imaginary part in ci
def sici(x):
si, ci = sc.sici(x + 0j)
return si.real, ci.real
x = np.r_[-np.logspace(8, -30, 200), 0, np.logspace(-30, 8, 200)]
si, ci = sc.sici(x)
dataset = np.column_stack((x, si, ci))
FuncData(sici, dataset, 0, (1, 2), rtol=1e-12).check()
def test_shichi_consistency():
# Make sure the implementation of shichi for real arguments agrees
# with the implementation of shichi for complex arguments.
# On the negative real axis Cephes drops the imaginary part in chi
def shichi(x):
shi, chi = sc.shichi(x + 0j)
return shi.real, chi.real
# Overflow happens quickly, so limit range
x = np.r_[-np.logspace(np.log10(700), -30, 200), 0,
np.logspace(-30, np.log10(700), 200)]
shi, chi = sc.shichi(x)
dataset = np.column_stack((x, shi, chi))
FuncData(shichi, dataset, 0, (1, 2), rtol=1e-14).check()