def test_inverse(self):
# Check that antiderivative + derivative is identity.
for n in range(5):
spl2 = splantider(self.spl, n)
spl3 = splder(spl2, n)
assert_allclose(self.spl[0], spl3[0])
assert_allclose(self.spl[1], spl3[1])
assert_equal(self.spl[2], spl3[2])
def test_inverse(self):
# Check that antiderivative + derivative is identity.
for n in range(5):
spl2 = splantider(self.spl, n)
spl3 = splder(spl2, n)
assert_allclose(self.spl[0], spl3[0])
assert_allclose(self.spl[1], spl3[1])
assert_equal(self.spl[2], spl3[2])
def test_splantider_vs_splint(self):
# Check antiderivative vs. FITPACK
spl2 = splantider(self.spl)
# no extrapolation, splint assumes function is zero outside
# range
xx = np.linspace(0, 1, 20)
for x1 in xx:
for x2 in xx:
y1 = splint(x1, x2, self.spl)
y2 = splev(x2, spl2) - splev(x1, spl2)
assert_allclose(y1, y2)
def test_splantider_vs_splint(self):
# Check antiderivative vs. FITPACK
spl2 = splantider(self.spl)
# no extrapolation, splint assumes function is zero outside
# range
xx = np.linspace(0, 1, 20)
for x1 in xx:
for x2 in xx:
y1 = splint(x1, x2, self.spl)
y2 = splev(x2, spl2) - splev(x1, spl2)
assert_allclose(y1, y2)
def test_multidim(self):
# c can have trailing dims
for n in range(3):
t, c, k = self.spl
c2 = np.c_[c, c, c]
c2 = np.dstack((c2, c2))
spl2 = splantider((t, c2, k), n)
spl3 = splder(spl2, n)
assert_allclose(t, spl3[0])
assert_allclose(c2, spl3[1])
assert_equal(k, spl3[2])
def test_multidim(self):
# c can have trailing dims
for n in range(3):
t, c, k = self.spl
c2 = np.c_[c, c, c]
c2 = np.dstack((c2, c2))
spl2 = splantider((t, c2, k), n)
spl3 = splder(spl2, n)
assert_allclose(t, spl3[0])
assert_allclose(c2, spl3[1])
assert_equal(k, spl3[2])
def antiderivative(self, n=1):
tck = fitpack.splantider(self._eval_args, n)
return PeriodicSpline._from_tck(tck)