def testNumdeg(self):
"numdeg argument follows docs"
# trivialish - interface check, not math check
T = 1
dendeg = 5
ref = [pade(T, dendeg, numdeg) for numdeg in range(0, dendeg + 1)]
testneg = [pade(T, dendeg, numdeg) for numdeg in range(-dendeg, 0)]
assert ref[:-1] == testneg
assert ref[-1] == pade(T, dendeg, dendeg)
assert ref[-1] == pade(T, dendeg, None)
assert ref[-1] == pade(T, dendeg)
def testNumdeg(self):
"numdeg argument follows docs"
# trivialish - interface check, not math check
T = 1
dendeg = 5
ref = [pade(T,dendeg,numdeg)
for numdeg in range(0,dendeg+1)]
testneg = [pade(T,dendeg,numdeg)
for numdeg in range(-dendeg,0)]
self.assertEqual(ref[:-1],testneg)
self.assertEqual(ref[-1], pade(T,dendeg,dendeg))
self.assertEqual(ref[-1], pade(T,dendeg,None))
self.assertEqual(ref[-1], pade(T,dendeg))
def testRefs(self):
"test reference cases for T=1"
T = 1
for dendeg, numdeg, refden, refnum in self.ref:
num, den = pade(T, dendeg, numdeg)
np.testing.assert_array_almost_equal_nulp(np.array(refden), den, nulp=2)
np.testing.assert_array_almost_equal_nulp(np.array(refnum), num, nulp=2)
def testRefs(self, dendeg, numdeg, refden, refnum):
"test reference cases for T=1"
T = 1
num, den = pade(T, dendeg, numdeg)
np.testing.assert_array_almost_equal_nulp(
np.array(refden), den, nulp=2)
np.testing.assert_array_almost_equal_nulp(
np.array(refnum), num, nulp=2)
def testErrors(self):
"ValueError raised for invalid arguments"
with pytest.raises(ValueError):
pade(-1, 1) # T<0
with pytest.raises(ValueError):
pade(1, -1) # dendeg < 0
with pytest.raises(ValueError):
pade(1, 2, -3) # numdeg < 0
with pytest.raises(ValueError):
pade(1, 2, 3) # numdeg > dendeg
def testTvalues(self, T, dendeg, numdeg, baseden, basenum):
"test reference cases for T!=1"
refden = T**np.arange(dendeg, -1, -1) * baseden
refnum = T**np.arange(numdeg, -1, -1) * basenum
refnum /= refden[0]
refden /= refden[0]
num, den = pade(T, dendeg, numdeg)
np.testing.assert_array_almost_equal_nulp(refden, den, nulp=2)
np.testing.assert_array_almost_equal_nulp(refnum, num, nulp=2)
def testT0(self):
"T=0 always returns [1],[1]"
T = 0
refnum = [1.0]
refden = [1.0]
for dendeg in range(1, 6):
for numdeg in range(0, dendeg+1):
num, den = pade(T, dendeg, numdeg)
np.testing.assert_array_almost_equal_nulp(np.array(refnum), np.array(num))
np.testing.assert_array_almost_equal_nulp(np.array(refden), np.array(den))
def testTvalues(self):
"test reference cases for T!=1"
Ts = [1/53, 21.95]
for dendeg, numdeg, baseden, basenum in self.ref:
for T in Ts:
refden = T**np.arange(dendeg, -1, -1)*baseden
refnum = T**np.arange(numdeg, -1, -1)*basenum
refnum /= refden[0]
refden /= refden[0]
num, den = pade(T, dendeg, numdeg)
np.testing.assert_array_almost_equal_nulp(refden, den, nulp=2)
np.testing.assert_array_almost_equal_nulp(refnum, num, nulp=2)
def testT0(self):
"T=0 always returns [1],[1]"
T = 0
refnum = [1.0]
refden = [1.0]
for dendeg in range(1, 6):
for numdeg in range(0, dendeg + 1):
num, den = pade(T, dendeg, numdeg)
np.testing.assert_array_almost_equal_nulp(
np.array(refnum), np.array(num))
np.testing.assert_array_almost_equal_nulp(
np.array(refden), np.array(den))
def testTvalues(self):
"test reference cases for T!=1"
Ts = [1 / 53, 21.95]
for dendeg, numdeg, baseden, basenum in self.ref:
for T in Ts:
refden = T**np.arange(dendeg, -1, -1) * baseden
refnum = T**np.arange(numdeg, -1, -1) * basenum
refnum /= refden[0]
refden /= refden[0]
num, den = pade(T, dendeg, numdeg)
np.testing.assert_array_almost_equal_nulp(refden, den, nulp=2)
np.testing.assert_array_almost_equal_nulp(refnum, num, nulp=2)
