def test_diff_pow0(self): for eg in self.examples: p = SparsePowers(eg) for var in xrange(len(eg)): coeff0, q0 = p.diff_pow(var, 0) self.assertEquals(coeff0, 1.0) self.assertEquals(q0, p)
def test_diff_pow_coeff(self): m = SparsePowers() for i in xrange(10): c, d = m.diff_pow(0, i) if i == 0: self.assertEquals(c, 1) else: self.assertEquals(c, 0)
def test_diff_pow1(self): for eg in self.examples: p = SparsePowers(eg) for var in xrange(len(eg)): coeff, q = p.diff(var) coeff1, q1 = p.diff_pow(var, 1) self.assertEquals(coeff1, coeff) self.assertEquals(q1, q)
def test_diff_pow(self): for eg in self.examples: p = SparsePowers(eg) for var in xrange(len(eg)): coeff0, q0 = p.diff_pow(var, 0) self.assertEquals(coeff0, 1.0) self.assertEquals(q0, p) coeff, q = p.diff(var) coeff1, q1 = p.diff_pow(var, 1) self.assertEquals(coeff1, coeff) self.assertEquals(q1, q) for pow in xrange(5): coeff, q = p.diff_pow(var, pow) cop = p.copy() c = 1.0 for i in xrange(pow): co, cop = cop.diff(var) c *= co self.assertEquals(cop, q) err = abs(coeff - c) self.assert_(err < 1.0e-12, err)
def test_diff_pow_powers(self): m = SparsePowers() for i in xrange(10): c, d = m.diff_pow(0, i) self.assertEquals(repr(d), 'SparsePowers(1, {})')