def test_1(self):
x = 10.0
xh = hyperdual(x, 1.0, 1.0, 0.0)
for func in [func1, func2]:
f = func(x)
fh = func(xh)[0]
self.assertEqual(f[0], fh.f0)
self.assertEqual(f[1], fh.f1)
self.assertEqual(f[1], fh.f2)
self.assertEqual(f[2], fh.f12)
def test_1(self):
x = 10.0
xh = hyperdual(x, 1.0, 1.0, 0.0)
for func in [func1, func2]:
f = func(x)
fh = func(xh)[0]
self.assertEqual(f[0], fh.f0)
self.assertEqual(f[1], fh.f1)
self.assertEqual(f[1], fh.f2)
self.assertEqual(f[2], fh.f12)
def test_2(self):
x = 1.1
xh = hyperdual(x, 1.0, 1.0, 0.0)
f = complex_func(x)
h = 1e-6
fd_1 = (complex_func(x + h) - complex_func(x - h))/2/h
fd_2 = (complex_func(x + h) - complex_func(x)*2.0 + complex_func(x - h))/h/h
fh = complex_func(xh)
self.assertEqual(f, fh.f0)
self.assertAlmostEqual(fd_1, fh.f1,3)
self.assertAlmostEqual(fd_1, fh.f2,3)
self.assertAlmostEqual(fd_2, fh.f12,-1)
print 'finite diff: ', fd_1, fd_2
print 'hyper dual: ', fh.f1, fh.f12
def test_2(self):
x = 1.1
xh = hyperdual(x, 1.0, 1.0, 0.0)
f = complex_func(x)
h = 1e-6
fd_1 = (complex_func(x + h) - complex_func(x - h)) / 2 / h
fd_2 = (complex_func(x + h) - complex_func(x) * 2.0 +
complex_func(x - h)) / h / h
fh = complex_func(xh)
self.assertEqual(f, fh.f0)
self.assertAlmostEqual(fd_1, fh.f1, 3)
self.assertAlmostEqual(fd_1, fh.f2, 3)
self.assertAlmostEqual(fd_2, fh.f12, -1)
print 'finite diff: ', fd_1, fd_2
print 'hyper dual: ', fh.f1, fh.f12
import sys
import unittest
sys.path.append('../build/lib.linux-x86_64-2.7/hyperdual')
from numpy_hyperdual import hyperdual
import numpy as np
from pylab import *
x = np.linspace(0.0, 2*np.pi, 13)
f = np.sin(x)
dfdx = np.cos(x)
dfdx2 = -np.sin(x)
xh = np.zeros_like(x, dtype=hyperdual)
for i in range(len(x)):
xh[i] = hyperdual(x[i], 1.0, 1.0, 0.0)
fh = np.sin(xh)
fhd_0 = np.zeros_like(x)
fhd_1 = np.zeros_like(x)
fhd_2 = np.zeros_like(x)
fhd_12 = np.zeros_like(x)
for i in range(len(x)):
fhd_0[i] = fh[i].f0
fhd_1[i] = fh[i].f1
fhd_2[i] = fh[i].f2
fhd_12[i] = fh[i].f12
