py-cas

algebraic calculator for python

run demo.py and proto_demo.py to test

numeric.py

Rational

Rational(numerator, denominator)

• numerator: int, denominator: int
• accepts floats but rounds down
• Rational(5, 3) = 5/3

Power

Power(base, power)

• base: int|Rational, power: int|Rational
• Power(5, Rational(1, 2)) = 5^(1/2)
• 5 ** Rational(1, 2) -> returns Power

ConstProduct

ConstProduct(const_list)

• const_list: list of int|Rational|Power
• ConstProduct([3, Power(2, Rational(1, 2))]) = 3×2^(1/2)
• 3 * 2 ** Rational(1, 2) -> returns ConstProduct

Term

Term(coefficient, var_powers)

• coefficient: int|float|Rational|Power|ConstProduct
• var_powers: dict {var_name, power}
• Term(2, {'x': 2, 'y': 1}) = 2x²y

Sum

Sum(term_list)

• term_list: list of any numeric (including itself)
• Term(2, {'x': 2}) + Term(3, {'x': 1}) = 2x²+3x
• 2*(Term(1, {'x': 1})+1) + Term(3, {'x': 1}) -> returns Sum
• Sum([Product([2, Sum([Term(1, {'x': 1})), 1])]), Term(3, {'x': 1})]) = 2(x+1) + 3x
• 2*(Term(1, {'x': 1})+1) + Term(3, {'x': 1}) -> returns Sum

Product

Product(exp_list)

• exp_list: list of any numeric (including itself)
• Product([2, Expression([Term(1, {'x': 1}), -1]), LargeBase(Expression([Term(1, {'x': 1}), 2]), 2)]) = 2(x-1)(x+2)²
• 2*(Term(1, {'x': 1})-1)*(Term(1, {'x': 1})+2)**2 -> returns Product

LargePower

LargePower(base, power)

• base: any numeric (including itself), power: any numeric (including itself)
• LargeBase(2, Term(1, {'x': 1})) = 2^x
• 2**Term(1, {'x': 1}) -> returns LargeBase
• LargeBase(Expression([Term(1, {'x': 1}), 2]), 3) = (x+2)³
• (Term(1, {'x': 1})+2)**3 -> returns LargeBase

Factorial

Factorial(exp)

• exp: any numeric (including itself)
• Factorial(5) = 5!
• Factorial(Term(1, {'x': 1}) + 2) = (x+2)!

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functions.py

Func

Func(exp, parameters)

• exp: any numeric (not func)
• parameters: list of var_names
• f(x) = 2x^2 -> Func(2*Term(1, {'x': 1})**2, ['x'])

Evaluating

• f(2) -> func.evaluate(2)
• f(g(x)) -> funcF.evaulate(funcG)