def test_match_sort_monomial_constant(self):
x, l2 = root = tree('x * 2')
self.assertEqualPos(match_sort_monomial(root),
[P(root, swap_factors, (Scope(root), x, l2))])
root = tree('2x')
self.assertEqualPos(match_sort_monomial(root), [])
def test_extract_nominator_term(self):
root, expect = tree('(2a) / 3, 2 / 3 * a')
l2, a = root[0]
self.assertEqual(extract_nominator_term(root, (l2, a)), expect)
root, expect, l1 = tree('a / 3, 1 / 3 * a, 1')
self.assertEqual(extract_nominator_term(root, (l1, root[0])), expect)
def test_match_factor_out_abs_term_exponent(self):
root = tree('|a ^ 2|')
self.assertEqualPos(match_factor_out_abs_term(root),
[P(root, factor_out_abs_exponent)])
root = tree('|a ^ b|')
self.assertEqualPos(match_factor_out_abs_term(root), [])
def test_match_sort_polynome(self):
x, x2 = root = tree('x + x ^ 2')
self.assertEqualPos(match_sort_polynome(root),
[P(root, swap_factors, (Scope(root), x, x2))])
root = tree('x + 2')
self.assertEqualPos(match_sort_polynome(root), [])
def test_match_expand(self):
a, bc, d = tree('a,b + c,d')
b, c = bc
root = a * bc
self.assertEqualPos(match_expand(root),
[P(root, expand_single, (Scope(root), a, bc))])
root = bc * a
self.assertEqualPos(match_expand(root),
[P(root, expand_single, (Scope(root), bc, a))])
root = a * bc * d
self.assertEqualPos(match_expand(root),
[P(root, expand_single, (Scope(root), a, bc)),
P(root, expand_single, (Scope(root), bc, d))])
ab, cd = root = (a + b) * (c + d)
self.assertEqualPos(match_expand(root),
[P(root, expand_double, (Scope(root), ab, cd))])
(ab, cd), e = root = tree('(a + b)(c + d)e')
self.assertEqualPos(match_expand(root),
[P(root, expand_double, (Scope(root), ab, cd)),
P(root, expand_single, (Scope(root), cd, e)),
P(root, expand_single, (Scope(root), ab, e))])
def test_match_quotient_rule(self):
root = tree('d/dx x ^ 2 / x')
self.assertEqualPos(match_quotient_rule(root),
[P(root, quotient_rule)])
root = tree('d/dx x ^ 2 / 2')
self.assertEqualPos(match_quotient_rule(root), [])
def test_add_quadrants(self):
s, c = root = tree('sin(t) ^ 2 + cos(t) ^ 2')
self.assertEqual(add_quadrants(root, (Scope(root), s, c)), 1)
root, expect = tree('cos(t) ^ 2 + a + sin(t) ^ 2, a + 1')
(c, a), s = root
self.assertEqual(add_quadrants(root, (Scope(root), s, c)), expect)
def test_negated_factor(self):
a, b = root = tree('a * -b')
self.assertEqual(negated_factor(root, (Scope(root), b)), -(a * +b))
(a, b), c = root = tree('a * (-b) * -c')
self.assertEqual(negated_factor(root, (Scope(root), b)), -(a * +b * c))
self.assertEqual(negated_factor(root, (Scope(root), c)), -(a * b * +c))
def test_match_factor_out_abs_term_numeric(self):
root = tree('|2|')
self.assertEqualPos(match_factor_out_abs_term(root),
[P(root, absolute_numeric)])
root = tree('|a|')
self.assertEqualPos(match_factor_out_abs_term(root), [])
def test_match_sort_monomial_variables(self):
y, x = root = tree('yx')
self.assertEqualPos(match_sort_monomial(root),
[P(root, swap_factors, (Scope(root), y, x))])
root = tree('xy')
self.assertEqualPos(match_sort_monomial(root), [])
def test_match_divide_fractions(self):
(a, b), c = root = tree('a / b / c')
self.assertEqualPos(match_divide_fractions(root),
[P(root, divide_fraction, (a, b, c))])
root = tree('a / (b / c)')
self.assertEqualPos(match_divide_fractions(root),
[P(root, divide_by_fraction, (a, b, c))])
def test_match_exponent_to_root(self):
root = tree('a ^ (1 / 2)')
self.assertEqualPos(match_exponent_to_root(root),
[P(root, exponent_to_root)])
root = tree('a ^ (n / 2)')
self.assertEqualPos(match_exponent_to_root(root),
[P(root, exponent_to_root)])
def test_match_variable_power(self):
root, x, l2 = tree('d/dx x ^ 2, x, 2')
self.assertEqualPos(match_variable_power(root),
[P(root, variable_root)])
root = tree('d/dx 2 ^ x')
self.assertEqualPos(match_variable_power(root),
[P(root, variable_exponent)])
def test_match_one_derivative(self):
root = tree('d/dx x')
self.assertEqualPos(match_one_derivative(root),
[P(root, one_derivative)])
root = tree('d/dx x')
self.assertEqualPos(match_one_derivative(root),
[P(root, one_derivative)])
def test_match_zero_derivative(self):
root = tree('d/dy x')
self.assertEqualPos(match_zero_derivative(root),
[P(root, zero_derivative)])
root = tree('d/dx 2')
self.assertEqualPos(match_zero_derivative(root),
[P(root, zero_derivative)])
def test_match_goniometric_chain_rule(self):
root, x2 = tree('d/dx sin(x ^ 2), x ^ 2')
self.assertEqualPos(match_goniometric(root),
[P(root, chain_rule, (x2, sinus, ()))])
root = tree('d/dx cos(x ^ 2)')
self.assertEqualPos(match_goniometric(root),
[P(root, chain_rule, (x2, cosinus, ()))])
def test_multiply_fractions(self):
(a, b), (c, d) = ab, cd = root = tree('a / b * (c / d)')
self.assertEqual(multiply_fractions(root, (Scope(root), ab, cd)),
a * c / (b * d))
(ab, e), cd = root = tree('a / b * e * (c / d)')
self.assertEqual(multiply_fractions(root, (Scope(root), ab, cd)),
a * c / (b * d) * e)
def test_match_remove_division_negation(self):
root = tree('-(-a + b) / c')
self.assertEqualPos(match_remove_division_negation(root),
[P(root, remove_division_negation, (True, root[0]))])
root = tree('-a / (-b + c)')
self.assertEqualPos(match_remove_division_negation(root),
[P(root, remove_division_negation, (False, root[1]))])
def test_match_division_in_denominator(self):
a, ((b, c), d) = root = tree('a / (b / c + d)')
self.assertEqualPos(match_division_in_denominator(root),
[P(root, multiply_with_term, (c,))])
a, ((d, (b, c)), e) = root = tree('a / (d + b / c + e)')
self.assertEqualPos(match_division_in_denominator(root),
[P(root, multiply_with_term, (c,))])
def test_match_reduce_sqrt_dividers(self):
root = tree('sqrt(8)')
self.assertEqualPos(match_reduce_sqrt(root),
[P(root, split_dividers, (4, 2))])
root = tree('sqrt(27)')
self.assertEqualPos(match_reduce_sqrt(root),
[P(root, split_dividers, (9, 3))])
def test_remove_division_negation(self):
(a, b), c = root = tree('-(-a + b) / c')
self.assertEqual(remove_division_negation(root, (True, root[0])),
(-a - b) / c)
a, (b, c) = root = tree('-a / (-b + c)')
self.assertEqual(remove_division_negation(root, (False, root[1])),
+a / (-b - c))
def test_sum_rule_integral(self):
((f, g), h), x = root = tree('int (2x + 3x + 4x) dx')
self.assertEqual(sum_rule_integral(root, (Scope(root[0]), f)),
tree('int 2x dx + int (3x + 4x) dx'))
self.assertEqual(sum_rule_integral(root, (Scope(root[0]), g)),
tree('int 3x dx + int (2x + 4x) dx'))
self.assertEqual(sum_rule_integral(root, (Scope(root[0]), h)),
tree('int 4x dx + int (2x + 3x) dx'))
def test_match_factor_out_constant(self):
root, c, cx = tree('int cx dx, c, cx')
self.assertEqualPos(match_factor_out_constant(root),
[P(root, factor_out_constant, (Scope(cx), c))])
root = tree('int -x2 dx')
self.assertEqualPos(match_factor_out_constant(root),
[P(root, factor_out_integral_negation)])
def test_divide_fraction(self):
(a, b), c = root = tree('a / b / c')
self.assertEqual(divide_fraction(root, (a, b, c)), a / (b * c))
(a, b), c = root = tree('-a / b / c')
self.assertEqual(divide_fraction(root, (a, b, c)), -(a / (b * c)))
root = tree('a / b / -c')
self.assertEqual(divide_fraction(root, (a, b, c)), a / (b * -c))
def test_match_goniometric(self):
root = tree('d/dx sin(x)')
self.assertEqualPos(match_goniometric(root), [P(root, sinus)])
root = tree('d/dx cos(x)')
self.assertEqualPos(match_goniometric(root), [P(root, cosinus)])
root = tree('d/dx tan(x)')
self.assertEqualPos(match_goniometric(root), [P(root, tangens)])
def test_match_const_deriv_multiplication(self):
root = tree('d/dx 2x')
l2, x = root[0]
self.assertEqualPos(match_const_deriv_multiplication(root),
[P(root, const_deriv_multiplication, (Scope(root[0]), l2, x))])
(x, y), x = root = tree('d/dx xy')
self.assertEqualPos(match_const_deriv_multiplication(root),
[P(root, const_deriv_multiplication, (Scope(root[0]), y, x))])
def test_divide_by_fraction(self):
a, (b, c) = root = tree('a / (b / c)')
self.assertEqual(divide_by_fraction(root, (a, b, c)), a * c / b)
a, (b, c) = root = tree('-a / (b / c)')
self.assertEqual(divide_by_fraction(root, (a, b, c)), -(a * c / b))
root = tree('a / -(b / c)')
self.assertEqual(divide_by_fraction(root, (a, b, c)), -(a * c / b))
def test_match_negated_factor(self):
a, b = root = tree('a * -b')
self.assertEqualPos(match_negated_factor(root),
[P(root, negated_factor, (Scope(root), b))])
(a, b), c = root = tree('a * (-b) * -c')
scope = Scope(root)
self.assertEqualPos(match_negated_factor(root),
[P(root, negated_factor, (scope, b)),
P(root, negated_factor, (scope, c))])
def test_extract_fraction_terms_leaf(self):
root, expect = tree('(ba) / a, a / a * b / 1')
n, d = root
self.assertEqual(extract_fraction_terms(root,
(Scope(n), Scope(N(OP_MUL, d)), n[1], d)), expect)
root, expect = tree('a / (ab), a / a * 1 / b')
n, d = root
self.assertEqual(extract_fraction_terms(root,
(Scope(N(OP_MUL, n)), Scope(d), n, d[0])), expect)
def test_expand_single(self):
root, expect = tree('a(b + c), ab + ac')
a, bc = root
self.assertEqualNodes(expand_single(root, (Scope(root), a, bc)),
expect)
root, expect = tree('a(b+c)d, a(bd + cd)')
(a, bc), d = root
self.assertEqualNodes(expand_single(root, (Scope(root), bc, d)),
expect)
def test_substitute(self):
x, a = tree('x, a')
self.assertEqual(substitute(x, x, a), a)
self.assertEqual(substitute(tree('x2'), x, a), tree('a2'))
self.assertEqual(substitute(tree('y + x + 1'), x, a),
tree('y + a + 1'))
self.assertEqual(substitute(tree('1 - 2x'), x, a), tree('1 - 2a'))
def test_match_add_exponents_ternary(self):
a, p, q, r = tree('a,p,q,r')
(n0, n1), n2 = root = a**p * a**q * a**r
possibilities = match_add_exponents(root)
self.assertEqualPos(possibilities, [
P(root, add_exponents, (Scope(root), n0, n1, a, p, q)),
P(root, add_exponents, (Scope(root), n0, n2, a, p, r)),
P(root, add_exponents, (Scope(root), n1, n2, a, q, r))
])
def test_match_constant_exponent(self):
a0, a1, a2 = tree('a ^ 0, a ^ 1, a ^ 2')
self.assertEqualPos(match_constant_exponent(a0),
[P(a0, remove_power_of_zero, ())])
self.assertEqualPos(match_constant_exponent(a1),
[P(a1, remove_power_of_one, ())])
self.assertEqualPos(match_constant_exponent(a2), [])
def test_duplicate_exponent(self):
a, b, c, p = tree('a,b,c,p')
root = (a * b)**p
self.assertEqualNodes(duplicate_exponent(root, ([a, b], p)),
a**p * b**p)
root = (a * b * c)**p
self.assertEqualNodes(duplicate_exponent(root, ([a, b, c], p)),
a**p * b**p * c**p)
def test_construct_logarithm(self):
self.assertEqual(str(tree('log n')), 'log(n)')
self.assertEqual(str(tree('log(n)')), 'log(n)')
self.assertEqual(str(tree('ln n')), 'ln(n)')
self.assertEqual(str(tree('ln(n)')), 'ln(n)')
self.assertEqual(str(tree('log_2 n')), 'log_2(n)')
self.assertEqual(str(tree('log_2(n)')), 'log_2(n)')
self.assertEqual(str(tree('log_g n')), 'log_g(n)')
self.assertEqual(str(tree('log_(g + h) n')), 'log_(g + h)(n)')
def test_int_definite_integral(self):
x2, a, b, oo, l2 = tree('x ^ 2, a, b, oo, 2')
self.assertEqual(tree('(x ^ 2)_a'), int_def(x2, a, oo))
self.assertEqual(tree('(x ^ 2)_a^b'), int_def(x2, a, b))
self.assertEqual(tree('(x ^ 2)_-a^b'), int_def(x2, -a, b))
self.assertEqual(tree('(x ^ 2)_-a^-b'), int_def(x2, -a, -b))
self.assertNotEqual(tree('(x ^ 2)_-2a^b'), int_def(x2, -(l2 * a), b))
self.assertEqual(tree('(x ^ 2)_(-2a)^b'), int_def(x2, -(l2 * a), b))
def test_equals_nary(self):
p0, p1, p2, p3, p4 = \
tree('a + b + c,a + c + b,b + a + c,b + c + a,a + b + d')
self.assertTrue(p0.equals(p1))
self.assertTrue(p0.equals(p2))
self.assertTrue(p0.equals(p3))
self.assertTrue(p1.equals(p2))
self.assertTrue(p1.equals(p3))
self.assertTrue(p2.equals(p3))
self.assertFalse(p2.equals(p4))
def test_extract_sqrt_multiplicant(self):
root, expect = tree('sqrt(2x), sqrt(2)sqrt(x)')
l2, x = mul = root[0]
self.assertEqual(extract_sqrt_multiplicant(root, (
Scope(mul),
l2,
)), expect)
root, expect = tree('-sqrt(2x), -sqrt(2)sqrt(x)')
l2, x = mul = root[0]
self.assertEqual(extract_sqrt_multiplicant(root, (
Scope(mul),
l2,
)), expect)
root, expect = tree('sqrt(2xy), sqrt(x)sqrt(2y)')
(l2, x), y = mul = root[0]
self.assertEqual(extract_sqrt_multiplicant(root, (
Scope(mul),
x,
)), expect)
def test_match_constant_logarithm(self):
self.assertRaises(ValueError, match_constant_logarithm,
tree('log_1(a)'))
root = tree('log 1')
self.assertEqualPos(match_constant_logarithm(root),
[P(root, logarithm_of_one)])
root = tree('log 10')
self.assertEqualPos(match_constant_logarithm(root),
[P(root, base_equals_raised),
P(root, divide_same_base)])
root = tree('log(a, a)')
self.assertEqualPos(match_constant_logarithm(root),
[P(root, base_equals_raised),
P(root, divide_same_base)])
root = tree('log(a, b)')
self.assertEqualPos(match_constant_logarithm(root),
[P(root, divide_same_base)])
def test_construct_function_integral(self):
self.assertEqual(str(tree('int x ^ 2')), 'int x ^ 2 dx')
self.assertEqual(str(tree('int x ^ 2 dx')), 'int x ^ 2 dx')
self.assertEqual(str(tree('int x ^ 2 dy')), 'int x ^ 2 dy')
self.assertEqual(str(tree('int x ^ 2 dy')), 'int x ^ 2 dy')
self.assertEqual(str(tree('int x + 1')), 'int x dx + 1')
self.assertEqual(str(tree('int_a^b x ^ 2')), 'int_a^b x ^ 2 dx')
self.assertEqual(str(tree('int_(a-b)^(a+b) x ^ 2')),
'int_(a - b)^(a + b) x ^ 2 dx')
def test_binary(self):
a, b, c = tree('a, b, c')
self.assertEqual(tree('a ^^ b'), a & b)
self.assertEqual(tree('a vv b'), a | b)
self.assertEqual(tree('a vv b vv c'), (a | b) | c)
self.assertEqual(tree('a vv b ^^ c'), a | (b & c))
self.assertEqual(tree('a & b'), a & b)
self.assertEqual(tree('a vv b & c'), a | (b & c))
def test_standard_radian(self):
l0, l1, sq3, pi6, pi4, pi2, pi1 = tree('0,1,sqrt(3),1/6*pi,1/4*pi,1/2*pi,pi')
self.assertEqual(standard_radian(sin(pi6), (OP_SIN, 1)), l1 / 2)
self.assertEqual(standard_radian(sin(pi2), (OP_SIN, 4)), 1)
self.assertEqual(standard_radian(cos(l0), (OP_COS, 0)), 1)
self.assertEqual(standard_radian(tan(pi4), (OP_TAN, 3)), sq3)
self.assertEqual(standard_radian(sin(pi1), (OP_SIN, 5)), 0)
self.assertEqual(standard_radian(cos(pi1), (OP_COS, 5)), -1)
self.assertEqual(standard_radian(-cos(pi1), (OP_COS, 5)), --l1)
def test_brackets(self):
self.assertEqual(*tree('[x], x'))
self.assertEqual(*tree('[x], (x)'))
self.assertEqual(*tree('[x ^ 2], x ^ 2'))
self.assertEqual(*tree('[x ^ 2](x), x ^ 2 * x'))
self.assertEqual(*tree('{x}, x'))
self.assertEqual(*tree('{x ^ 2}, x ^ 2'))
def test_delta_derivative(self):
exp, x, d = tree('x ^ 2, x, d')
self.assertEqual(tree('d/dx x ^ 2'), der(exp, x))
self.assertEqual(tree('d / dx x ^ 2'), der(exp, x))
self.assertEqual(tree('d/dx x ^ 2 + x'), der(exp, x) + x)
self.assertEqual(tree('d/dx (x ^ 2 + x)'), der(exp + x, x))
self.assertEqual(tree('d/d'), d / d)
def test_derivative(self):
x = tree('x')
self.assertEqual(tree('[x]\''), der(x))
self.assertEqual(tree('x\''), der(x))
self.assertEqual(tree('[x]\'\''), der(der(x)))
self.assertEqual(tree('(x)\'\''), der(der(x)))
self.assertEqual(tree('x\'\''), der(der(x)))
def test_is_eliminateable_sqrt(self):
self.assertFalse(is_eliminateable_sqrt(3))
self.assertTrue(is_eliminateable_sqrt(4))
self.assertTrue(is_eliminateable_sqrt(9))
self.assertTrue(is_eliminateable_sqrt(tree('9')))
self.assertFalse(is_eliminateable_sqrt(tree('-9')))
self.assertFalse(is_eliminateable_sqrt(tree('5')))
self.assertTrue(is_eliminateable_sqrt(tree('a ^ 2')))
self.assertFalse(is_eliminateable_sqrt(tree('a ^ 3')))
self.assertFalse(is_eliminateable_sqrt(tree('a')))
def test_add_fractions_with_negation(self):
a, b, c, l1, l2, l3, l4 = tree('a,b,c,1,2,3,4')
(((n0, n1), n2), n3), n4 = root = a + l2 / l2 + b + (-l3 / l4) + c
self.assertEqualPos(match_add_fractions(root), [
P(root, equalize_denominators, (Scope(root), n1, n3, 4)),
P(root, equalize_denominators, (Scope(root), n1, n3, 8))
])
n0, n1 = root = l1 / l2 + l4 / l3
self.assertEqualPos(
match_add_fractions(root),
[P(root, equalize_denominators, (Scope(root), n0, n1, 6))])
(((n0, n1), n2), n3), n4 = root = a + l2 / l4 + b + (-l3 / l4) + c
self.assertEqualPos(match_add_fractions(root),
[P(root, add_nominators, (Scope(root), n1, n3))])
def test_match_multiply_numerics(self):
i2, i3, i6, f2, f3, f6 = tree('2,3,6,2.0,3.0,6.0')
root = i3 * i2
self.assertEqual(match_multiply_numerics(root),
[P(root, multiply_numerics, (Scope(root), i3, i2))])
root = f3 * i2
self.assertEqual(match_multiply_numerics(root),
[P(root, multiply_numerics, (Scope(root), f3, i2))])
root = i3 * f2
self.assertEqual(match_multiply_numerics(root),
[P(root, multiply_numerics, (Scope(root), i3, f2))])
root = f3 * f2
self.assertEqual(match_multiply_numerics(root),
[P(root, multiply_numerics, (Scope(root), f3, f2))])
def test_match_constant_division(self):
a, zero = tree('a,0')
root = a / zero
with self.assertRaises(ZeroDivisionError) as cm:
match_constant_division(root)
self.assertEqual(cm.exception.message, 'Division by zero: a / 0.')
root = a / 1
possibilities = match_constant_division(root)
self.assertEqualPos(possibilities, [P(root, division_by_one, (a, ))])
root = zero / a
possibilities = match_constant_division(root)
self.assertEqualPos(possibilities, [P(root, division_of_zero, (a, ))])
root = a / a
possibilities = match_constant_division(root)
self.assertEqualPos(possibilities, [P(root, division_by_self, (a, ))])
def test_multiply_numerics(self):
a, b, i2, i3, i6, f2, f3, f6 = tree('a,b,2,3,6,2.0,3.0,6.0')
i3, i2 = root = tree('3 * 2')
self.assertEqual(multiply_numerics(root, (Scope(root), i3, i2)), 6)
f3, i2 = root = tree('3.0 * 2')
self.assertEqual(multiply_numerics(root, (Scope(root), f3, i2)), 6.0)
i3, f2 = root = tree('3 * 2.0')
self.assertEqual(multiply_numerics(root, (Scope(root), i3, f2)), 6.0)
f3, f2 = root = tree('3.0 * 2.0')
self.assertEqual(multiply_numerics(root, (Scope(root), f3, f2)), 6.0)
((a, i3), i2), b = root = tree('a * 3 * 2 * b')
self.assertEqualNodes(multiply_numerics(root, (Scope(root), i3, i2)),
a * 6 * b)
def test_add_nominators(self):
a, b, c = tree('a,b,c')
n0, n1 = root = a / b + c / b
self.assertEqualNodes(add_nominators(root, (Scope(root), n0, n1)),
(a + c) / b)
n0, n1 = root = a / b + -c / b
self.assertEqualNodes(add_nominators(root, (Scope(root), n0, n1)),
(a + -c) / b)
n0, n1 = root = a / b + -(c / b)
self.assertEqualNodes(add_nominators(root, (Scope(root), n0, n1)),
(a + -c) / b)
n0, n1 = root = a / -b + c / -b
self.assertEqualNodes(add_nominators(root, (Scope(root), n0, n1)),
(a + c) / -b)
n0, n1 = root = a / -b + -c / -b
self.assertEqualNodes(add_nominators(root, (Scope(root), n0, n1)),
(a + -c) / -b)
def test_equalize_denominators(self):
a, b, l1, l2, l3, l4 = tree('a,b,1,2,3,4')
n0, n1 = root = l1 / l2 + l3 / l4
self.assertEqualNodes(
equalize_denominators(root, (Scope(root), n0, n1, 4)),
l2 / l4 + l3 / l4)
n0, n1 = root = a / l2 + b / l4
self.assertEqualNodes(
equalize_denominators(root, (Scope(root), n0, n1, 4)),
(l2 * a) / l4 + b / l4)
#2 / 2 - 3 / 4 -> 4 / 4 - 3 / 4 # Equalize denominators
n0, n1 = root = l1 / l2 + (-l3 / l4)
self.assertEqualNodes(
equalize_denominators(root, (Scope(root), n0, n1, 4)),
l2 / l4 + (-l3 / l4))
#2 / 2 - 3 / 4 -> 4 / 4 - 3 / 4 # Equalize denominators
n0, n1 = root = a / l2 + (-b / l4)
self.assertEqualNodes(
equalize_denominators(root, (Scope(root), n0, n1, 4)),
(l2 * a) / l4 + (-b / l4))
def test_negate_polynome(self):
a, b = root = tree('-(a + b)')
self.assertEqual(negate_polynome(root, ()), -a + -b)
a, b = root = tree('-(a - b)')
self.assertEqual(negate_polynome(root, ()), -a + -b)
def test_negated_nominator(self):
l1, l2 = root = tree('(-1) / 2')
self.assertEqual(negated_nominator(root, ()), -(+l1 / l2))
def test_match_negated_division_double(self):
root = tree('(-1) / -2')
self.assertEqualPos(
match_negated_division(root),
[P(root, negated_nominator),
P(root, negated_denominator)])
def test_match_negated_division_none(self):
self.assertEqual(match_negated_division(tree('1 / 2')), [])
def test_negated_denominator(self):
l1, l2 = root = tree('1 / -2')
self.assertEqual(negated_denominator(root, ()), -(l1 / +l2))
def test_negated_zero(self):
root = tree('-0')
self.assertEqual(negated_zero(root, ()), 0)
def test_combine_groups_negation(self):
root, expect = tree('3a - 2a, -(3 + 2)a')
(l3, a0), (l2, a1) = n0, n1 = root
self.assertEqualNodes(
combine_groups(root, (Scope(root), l3, a0, n0, l2, a1, n1)),
expect)
def test_double_negation(self):
root = tree('--a')
self.assertEqual(double_negation(root, ()), ++root)