expert_rational_complex

🔢 Harnessing Rational and Complex for Exact Arithmetic

Swap floating‐point imprecision for exact Rational and Complex math. Rational avoids rounding errors by representing fractions exactly, while Complex handles two‐dimensional numbers for advanced scientific calculations. Use them together to model waveforms, signals, or precise ratios without drift.

# Exact fraction math
r1 = Rational(22, 7)     # 22/7
r2 = 355r                # literal creates Rational(355, 1)
sum = r1 + r2           # => Rational(3879, 7)
decimal = sum.to_f       # convert back when needed

# Complex number algebra
c1 = Complex(1, 2)      # 1 + 2i
c2 = 3 + 4i              # literal syntax
product = c1 * c2        # => Complex(-5, 10)
modulus = product.abs    # => sqrt((-5)^2 + 10^2)