+++ /dev/null
-import functools
-import unittest
-
-from fractions import Fraction
-
-from ..linexprs import *
-from .libhelper import requires_sympy
-
-
-class TestExpression(unittest.TestCase):
-
- def setUp(self):
- self.x = Symbol('x')
- self.y = Symbol('y')
- self.z = Symbol('z')
- self.zero = Expression(constant=0)
- self.one = Expression(constant=1)
- self.pi = Expression(constant=Fraction(22, 7))
- self.expr = self.x - 2*self.y + 3
-
- def test_new(self):
- self.assertIsInstance(self.x, Symbol)
- self.assertIsInstance(self.pi, Rational)
- self.assertNotIsInstance(self.x + self.pi, Symbol)
- self.assertNotIsInstance(self.x + self.pi, Rational)
- xx = Expression({self.x: 2})
- self.assertNotIsInstance(xx, Symbol)
- with self.assertRaises(TypeError):
- Expression('x + y', 2)
- with self.assertRaises(TypeError):
- Expression({0: 2})
- with self.assertRaises(TypeError):
- Expression({'x': '2'})
- self.assertEqual(Expression(constant=1), Expression(constant=self.one))
- self.assertEqual(Expression(constant='1'), Expression(constant=self.one))
- with self.assertRaises(ValueError):
- Expression(constant='a')
-
- def test_coefficient(self):
- self.assertEqual(self.expr.coefficient(self.x), 1)
- self.assertEqual(self.expr.coefficient(self.y), -2)
- self.assertEqual(self.expr.coefficient(self.z), 0)
- with self.assertRaises(TypeError):
- self.expr.coefficients('x')
- with self.assertRaises(TypeError):
- self.expr.coefficient(0)
- with self.assertRaises(TypeError):
- self.expr.coefficient(self.expr)
-
- def test_getitem(self):
- self.assertEqual(self.expr[self.x], 1)
- self.assertEqual(self.expr[self.y], -2)
- self.assertEqual(self.expr[self.z], 0)
- with self.assertRaises(TypeError):
- self.assertEqual(self.expr['x'], 1)
- with self.assertRaises(TypeError):
- self.expr[0]
- with self.assertRaises(TypeError):
- self.expr[self.expr]
-
- def test_coefficients(self):
- self.assertCountEqual(self.expr.coefficients(), [(self.x, 1), (self.y, -2)])
-
- def test_constant(self):
- self.assertEqual(self.x.constant, 0)
- self.assertEqual(self.pi.constant, Fraction(22, 7))
- self.assertEqual(self.expr.constant, 3)
-
- def test_symbols(self):
- self.assertCountEqual(self.x.symbols, [self.x])
- self.assertCountEqual(self.pi.symbols, [])
- self.assertCountEqual(self.expr.symbols, [self.x, self.y])
-
- def test_dimension(self):
- self.assertEqual(self.x.dimension, 1)
- self.assertEqual(self.pi.dimension, 0)
- self.assertEqual(self.expr.dimension, 2)
-
- def test_isconstant(self):
- self.assertFalse(self.x.isconstant())
- self.assertTrue(self.pi.isconstant())
- self.assertFalse(self.expr.isconstant())
-
- def test_issymbol(self):
- self.assertTrue(self.x.issymbol())
- self.assertFalse(self.pi.issymbol())
- self.assertFalse(self.expr.issymbol())
-
- def test_values(self):
- self.assertCountEqual(self.expr.values(), [1, -2, 3])
-
- def test_bool(self):
- self.assertTrue(self.x)
- self.assertFalse(self.zero)
- self.assertTrue(self.pi)
- self.assertTrue(self.expr)
-
- def test_pos(self):
- self.assertEqual(+self.expr, self.expr)
-
- def test_neg(self):
- self.assertEqual(-self.expr, -self.x + 2*self.y - 3)
-
- def test_add(self):
- self.assertEqual(self.x + Fraction(22, 7), self.x + self.pi)
- self.assertEqual(Fraction(22, 7) + self.x, self.x + self.pi)
- self.assertEqual(self.x + self.x, 2 * self.x)
- self.assertEqual(self.expr + 2*self.y, self.x + 3)
-
- def test_sub(self):
- self.assertEqual(self.x - self.x, 0)
- self.assertEqual(self.expr - 3, self.x - 2*self.y)
- self.assertEqual(0 - self.x, -self.x)
-
- def test_mul(self):
- self.assertEqual(self.pi * 7, 22)
- self.assertEqual(self.expr * 0, 0)
- self.assertEqual(0 * self.expr, 0)
- self.assertEqual(self.expr * 2, 2*self.x - 4*self.y + 6)
-
- def test_truediv(self):
- with self.assertRaises(ZeroDivisionError):
- self.expr / 0
- self.assertEqual(self.expr / 2, self.x / 2 - self.y + Fraction(3, 2))
-
- def test_eq(self):
- self.assertEqual(self.expr, self.expr)
- self.assertNotEqual(self.x, self.y)
- self.assertEqual(self.zero, 0)
-
- def test_scaleint(self):
- self.assertEqual((self.x + self.y/2 + self.z/3).scaleint(),
- 6*self.x + 3*self.y + 2*self.z)
-
- def test_subs(self):
- self.assertEqual(self.x.subs(self.x, 3), 3)
- self.assertEqual(self.x.subs(self.x, self.x), self.x)
- self.assertEqual(self.x.subs(self.x, self.y), self.y)
- self.assertEqual(self.x.subs(self.x, self.x + self.y), self.x + self.y)
- self.assertEqual(self.x.subs(self.y, 3), self.x)
- self.assertEqual(self.pi.subs(self.x, 3), self.pi)
- self.assertEqual(self.expr.subs(self.x, -3), -2 * self.y)
- self.assertEqual(self.expr.subs([(self.x, self.y), (self.y, self.x)]), 3 - self.x)
- self.assertEqual(self.expr.subs({self.x: self.z, self.y: self.z}), 3 - self.z)
- self.assertEqual(self.expr.subs({self.x: self.z, self.y: self.z}), 3 - self.z)
- with self.assertRaises(TypeError):
- self.x.subs('x', 3)
- with self.assertRaises(TypeError):
- self.expr.subs([('x', self.z), ('y', self.z)])
- with self.assertRaises(TypeError):
- self.expr.subs({'x': self.z, 'y': self.z})
- with self.assertRaises(TypeError):
- self.expr.subs(self.x, 'x')
-
- def test_fromstring(self):
- self.assertEqual(Expression.fromstring('x'), self.x)
- self.assertEqual(Expression.fromstring('-x'), -self.x)
- self.assertEqual(Expression.fromstring('22/7'), self.pi)
- self.assertEqual(Expression.fromstring('x - 2y + 3'), self.expr)
- self.assertEqual(Expression.fromstring('x - (3-1)y + 3'), self.expr)
- self.assertEqual(Expression.fromstring('x - 2*y + 3'), self.expr)
-
- def test_repr(self):
- self.assertEqual(str(Expression()), '0')
- self.assertEqual(str(self.x), 'x')
- self.assertEqual(str(-self.x), '-x')
- self.assertEqual(str(self.pi), '22/7')
- self.assertEqual(str(self.expr), 'x - 2*y + 3')
-
- @requires_sympy
- def test_fromsympy(self):
- import sympy
- sp_x, sp_y = sympy.symbols('x y')
- self.assertEqual(Expression.fromsympy(sp_x), self.x)
- self.assertEqual(Expression.fromsympy(sympy.Rational(22, 7)), self.pi)
- self.assertEqual(Expression.fromsympy(sp_x - 2*sp_y + 3), self.expr)
- with self.assertRaises(ValueError):
- Expression.fromsympy(sp_x*sp_y)
-
- @requires_sympy
- def test_tosympy(self):
- import sympy
- sp_x, sp_y = sympy.symbols('x y')
- self.assertEqual(self.x.tosympy(), sp_x)
- self.assertEqual(self.pi.tosympy(), sympy.Rational(22, 7))
- self.assertEqual(self.expr.tosympy(), sp_x - 2*sp_y + 3)
-
-
-class TestSymbol(unittest.TestCase):
-
- def setUp(self):
- self.x = Symbol('x')
- self.y = Symbol('y')
-
- def test_new(self):
- self.assertEqual(Symbol(' x '), self.x)
- with self.assertRaises(TypeError):
- Symbol(self.x)
- with self.assertRaises(TypeError):
- Symbol(1)
-
- def test_name(self):
- self.assertEqual(self.x.name, 'x')
-
- def test_issymbol(self):
- self.assertTrue(self.x.issymbol())
-
- def test_fromstring(self):
- self.assertEqual(Symbol.fromstring('x'), self.x)
- with self.assertRaises(SyntaxError):
- Symbol.fromstring('1')
-
- def test_repr(self):
- self.assertEqual(str(self.x), 'x')
-
- @requires_sympy
- def test_fromsympy(self):
- import sympy
- sp_x = sympy.Symbol('x')
- self.assertEqual(Symbol.fromsympy(sp_x), self.x)
- with self.assertRaises(TypeError):
- Symbol.fromsympy(sympy.Rational(22, 7))
- with self.assertRaises(TypeError):
- Symbol.fromsympy(2 * sp_x)
- with self.assertRaises(TypeError):
- Symbol.fromsympy(sp_x*sp_x)
-
- def test_symbols(self):
- self.assertListEqual(list(symbols('x y')), [self.x, self.y])
- self.assertListEqual(list(symbols('x,y')), [self.x, self.y])
- self.assertListEqual(list(symbols(['x', 'y'])), [self.x, self.y])
-
-
-class TestRational(unittest.TestCase):
-
- def setUp(self):
- self.zero = Rational(0)
- self.one = Rational(1)
- self.pi = Rational(Fraction(22, 7))
-
- def test_new(self):
- self.assertEqual(Rational(), self.zero)
- self.assertEqual(Rational(1), self.one)
- self.assertEqual(Rational(self.pi), self.pi)
- self.assertEqual(Rational('22/7'), self.pi)
-
- def test_isconstant(self):
- self.assertTrue(self.zero.isconstant())
-
- def test_bool(self):
- self.assertFalse(self.zero)
- self.assertTrue(self.pi)
-
- def test_fromstring(self):
- self.assertEqual(Rational.fromstring('22/7'), self.pi)
- with self.assertRaises(ValueError):
- Rational.fromstring('a')
- with self.assertRaises(TypeError):
- Rational.fromstring(1)
-
- def test_repr(self):
- self.assertEqual(repr(self.zero), '0')
- self.assertEqual(repr(self.one), '1')
- self.assertEqual(repr(self.pi), '22/7')
-
- @requires_sympy
- def test_fromsympy(self):
- import sympy
- self.assertEqual(Rational.fromsympy(sympy.Rational(22, 7)), self.pi)
- with self.assertRaises(TypeError):
- Rational.fromsympy(sympy.Symbol('x'))
projects / linpy.git / blobdiff