def test_convert_scalar_symbols(self): a = pybamm.Scalar(0) b = pybamm.Scalar(1) c = pybamm.Scalar(-1) d = pybamm.Scalar(2) e = pybamm.Scalar(3) g = pybamm.Scalar(3.3) self.assertEqual(a.to_casadi(), casadi.MX(0)) self.assertEqual(d.to_casadi(), casadi.MX(2)) # negate self.assertEqual((-b).to_casadi(), casadi.MX(-1)) # absolute value self.assertEqual(abs(c).to_casadi(), casadi.MX(1)) # floor self.assertEqual(pybamm.Floor(g).to_casadi(), casadi.MX(3)) # ceiling self.assertEqual(pybamm.Ceiling(g).to_casadi(), casadi.MX(4)) # function def square_plus_one(x): return x**2 + 1 f = pybamm.Function(square_plus_one, b) self.assertEqual(f.to_casadi(), 2) def myfunction(x, y): return x + y f = pybamm.Function(myfunction, b, d) self.assertEqual(f.to_casadi(), casadi.MX(3)) # use classes to avoid simplification # addition self.assertEqual((pybamm.Addition(a, b)).to_casadi(), casadi.MX(1)) # subtraction self.assertEqual(pybamm.Subtraction(c, d).to_casadi(), casadi.MX(-3)) # multiplication self.assertEqual( pybamm.Multiplication(c, d).to_casadi(), casadi.MX(-2)) # power self.assertEqual(pybamm.Power(c, d).to_casadi(), casadi.MX(1)) # division self.assertEqual(pybamm.Division(b, d).to_casadi(), casadi.MX(1 / 2)) # modulo self.assertEqual(pybamm.Modulo(e, d).to_casadi(), casadi.MX(1)) # minimum and maximum self.assertEqual(pybamm.Minimum(a, b).to_casadi(), casadi.MX(0)) self.assertEqual(pybamm.Maximum(a, b).to_casadi(), casadi.MX(1))
def simplified_subtraction(left, right): """ Note ---- We check for scalars first, then matrices. This is because (Zero Matrix) - (Zero Scalar) should return (Zero Matrix), not -(Zero Scalar). """ left, right = simplify_elementwise_binary_broadcasts(left, right) # Check for Concatenations and Broadcasts out = simplified_binary_broadcast_concatenation(left, right, simplified_subtraction) if out is not None: return out # anything added by a scalar zero returns the other child if pybamm.is_scalar_zero(left): return -right if pybamm.is_scalar_zero(right): return left # Check matrices after checking scalars if pybamm.is_matrix_zero(left): if right.evaluates_to_number(): return -right * pybamm.ones_like(left) # See comments in simplified_addition elif all(left_dim_size <= right_dim_size for left_dim_size, right_dim_size in zip( left.shape_for_testing, right.shape_for_testing)) and all( left.evaluates_on_edges(dim) == right.evaluates_on_edges(dim) for dim in ["primary", "secondary", "tertiary"]): return -right if pybamm.is_matrix_zero(right): if left.evaluates_to_number(): return left * pybamm.ones_like(right) # See comments in simplified_addition elif all(left_dim_size >= right_dim_size for left_dim_size, right_dim_size in zip( left.shape_for_testing, right.shape_for_testing)) and all( left.evaluates_on_edges(dim) == right.evaluates_on_edges(dim) for dim in ["primary", "secondary", "tertiary"]): return left # a symbol minus itself is 0s of the same shape if left.id == right.id: return pybamm.zeros_like(left) return pybamm.simplify_if_constant(pybamm.Subtraction(left, right))
def test_convert_scalar_symbols(self): a = pybamm.Scalar(0) b = pybamm.Scalar(1) c = pybamm.Scalar(-1) d = pybamm.Scalar(2) self.assertEqual(a.to_casadi(), casadi.MX(0)) self.assertEqual(d.to_casadi(), casadi.MX(2)) # negate self.assertEqual((-b).to_casadi(), casadi.MX(-1)) # absolute value self.assertEqual(abs(c).to_casadi(), casadi.MX(1)) # function def sin(x): return np.sin(x) f = pybamm.Function(sin, b) self.assertEqual(f.to_casadi(), casadi.MX(np.sin(1))) def myfunction(x, y): return x + y f = pybamm.Function(myfunction, b, d) self.assertEqual(f.to_casadi(), casadi.MX(3)) # use classes to avoid simplification # addition self.assertEqual((pybamm.Addition(a, b)).to_casadi(), casadi.MX(1)) # subtraction self.assertEqual(pybamm.Subtraction(c, d).to_casadi(), casadi.MX(-3)) # multiplication self.assertEqual( pybamm.Multiplication(c, d).to_casadi(), casadi.MX(-2)) # power self.assertEqual(pybamm.Power(c, d).to_casadi(), casadi.MX(1)) # division self.assertEqual(pybamm.Division(b, d).to_casadi(), casadi.MX(1 / 2)) # minimum and maximum self.assertEqual(pybamm.Minimum(a, b).to_casadi(), casadi.MX(0)) self.assertEqual(pybamm.Maximum(a, b).to_casadi(), casadi.MX(1))
def __rsub__(self, other): """return a :class:`Subtraction` object""" return pybamm.simplify_if_constant(pybamm.Subtraction(other, self), keep_domains=True)
def __rsub__(self, other): """return a :class:`Subtraction` object""" if isinstance(other, (Symbol, numbers.Number)): return pybamm.Subtraction(other, self) else: raise NotImplementedError