def test_Constant():
constant1 = Constant(10)
assert constant1.__str__() == "{10}"
constant1.differentiate()
assert constant1.value == 0
constant2 = Constant(5)
constant2.integrate('x')
assert isinstance(constant2, Variable)
assert constant2.__str__() == "5{x}"
def test_Constant():
# Tests for Calculus operations for Constant Class.
constant1 = Constant(10)
assert constant1.__str__() == "{10}"
constant1.differentiate()
assert constant1.value == 0
constant2 = Constant(5, 2)
constant2.integrate('x')
assert isinstance(constant2, Variable)
assert constant2.__str__() == "25{x}"
# Tests for Add/Sub operations (using Overloading) for Constant Class.
constant4 = Constant(2, 2)
constant5 = Constant(7)
constant3 = constant4 - constant5
assert constant3.__str__() == "{-3}"
constant4 = Constant(7, 2)
constant0 = Constant(5)
constant6 = constant4 - constant3 - constant5 + constant0
assert constant6.__str__() == "{50}"
constant0 = Constant(5, 2, 2)
constant2 = constant0
variable0 = Variable(5, 'X', 3)
summation0 = constant0 - variable0 + constant2
assert summation0.__str__() == "{({100}-5{X}^{3})}"
constant0 = Constant(5, 2, 2)
constant2 = constant0
variable0 = Variable(5, 'X', 3)
summation0 = constant0 + variable0 + constant2
assert summation0.__str__() == "{({100}+5{X}^{3})}"
var1 = Variable(3, 'x', 3)
const1 = Constant(5)
expr1 = Expression([var1, Minus(), const1])
constant2 = Constant(2, 2)
sub1 = constant2 - expr1
assert sub1.__str__() == "{({9}-3{x}^{3})}"
constant1 = Constant(2)
constant2 = Constant(7)
constant3 = constant1 + constant2
assert constant3.__str__() == "{9}"
constant1 = Constant(2)
constant2 = Constant(7)
constant3 = constant1 - constant2
assert constant3.__str__() == "{-5}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
summation = constant1 + variable1
assert summation.__str__() == "{({5}+5{x}^{3})}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
summation = constant1 - variable1
assert summation.__str__() == "{({5}-5{x}^{3})}"
# Tests for Add/Sub operations (using Overloading) for Constant Class.
constant0 = Constant(0, 2)
constant1 = Constant(5)
mul1 = constant0 * constant1
assert mul1.calculate() == 0
mul1 = constant1 * constant0
assert mul1.calculate() == 0
mul1 = constant1 * constant1 + constant0 * constant1 + constant0 * constant1
assert mul1.calculate() == 25
constant1 = Constant(5, 2)
constant2 = Constant(4, 2)
variable0 = Variable(3, 'X', 3)
mul3 = constant1 * (constant2 + variable0)
assert mul3.__str__() == "{({400}+75{X}^{3})}"
constant1 = Constant(5, 2)
constant2 = Constant(4, 2)
variable0 = Variable(3, 'X', 3)
mul3 = constant1 / (constant2 + variable0)
assert mul3.__str__() == "{25}*{({16}+3{X}^{3})}^{-1}"
constant1 = Constant(5)
constant2 = Constant(4)
div1 = constant1 / constant2
assert div1.__str__() == "{1.25}"
constant1 = Constant(3, 2)
constant2 = Constant(4, 2)
variable0 = Variable(3, 'X', 3)
mul3 = constant1 - constant1 / (constant2 / variable0 + constant1)
assert mul3.__str__(
) == "{({9}-{9}*{(5.333333333333333{X}^{-3}+{9})}^{-1})}"
constant1 = Constant(2, 2)
constant2 = Constant(2, 2)
mul3 = constant1**constant2
assert mul3.__str__() == "{256}"
constant1 = Constant(5)
constant2 = Constant(5)
summation = constant1 * constant2
assert summation.__str__() == "{25}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
exp1 = Expression([constant1, Plus(), variable1])
constant2 = Constant(10)
summation = constant2 + exp1
assert summation.__str__() == "{({15}+5{x}^{3})}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
exp1 = Expression([constant1, Plus(), variable1])
constant2 = Constant(10)
summation = constant2 - exp1
assert summation.__str__() == "{({5}-5{x}^{3})}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
exp1 = Expression([constant1, Plus(), variable1])
constant2 = Constant(10)
summation = exp1 - constant2
assert summation.__str__() == "{({-5}+5{x}^{3})}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
summation = constant1 * variable1
assert summation.__str__() == "25{x}^{3}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
exp1 = Expression([constant1, Plus(), variable1])
constant2 = Constant(10)
summation = constant2 * exp1
assert summation.__str__() == "{({50}+50{x}^{3})}"
constant1 = Constant(5)
constant2 = Constant(5)
summation = constant1 / constant2
assert summation.__str__() == "{1.0}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
summation = constant1 / variable1
assert summation.__str__() == "{x}^{-3}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
exp1 = Expression([constant1, Plus(), variable1])
constant2 = Constant(10)
summation = constant2 / exp1
assert summation.__str__() == "{10}*{({5}+5{x}^{3})}^{-1}"
constant1 = Constant(5)
variable1 = Variable(5, 'x', 3)
exp1 = Expression([constant1, Plus(), variable1])
constant2 = Constant(10)
summation = exp1 / constant2
assert summation.__str__() == "{({0.5}+0.5{x}^{3})}"