LaTeX Parsing

parse_latex converts a LaTeX math string directly into a concrete model instance.

from econ_viz import parse_latex

model = parse_latex(r"x^{0.4} y^{0.6}")  # CobbDouglas(alpha=0.4, beta=0.6)
model = parse_latex(r"\min(2x, 3y)")     # Leontief(a=2.0, b=3.0)
model = parse_latex(r"2x + 3y")          # PerfectSubstitutes(a=2.0, b=3.0)

Supported forms

Family	Pattern	Example
Cobb-Douglas	x^{α} y^{β} or x^α y^β	x^{0.3} y^{0.7}
Leontief	\min(ax, by) or min(ax, by)	\min(2x, y)
Perfect Substitutes	ax + by	3x + 1.5y

Coefficients and exponents are optional and default to 1.

Input forms

Enter the utility expression alone, or prefix it with U = or U(x, y) =:

U(x,y) = x^{0.5} y^{0.5}
U = x^{0.5} y^{0.5}
x^{0.5} y^{0.5}

Errors

Unrecognised patterns raise econ_viz.exceptions.ParseError:

from econ_viz.exceptions import ParseError

try:
    model = parse_latex(r"x^2 + y^2")
except ParseError as e:
    print(e)

# Unrecognised LaTeX utility function: 'x^2 + y^2'
# Supported forms:
#   Cobb-Douglas       : x^{alpha} y^{beta}
#   Leontief           : \min(ax, by)
#   Perfect Substitutes: ax + by
#   CES                : (alpha x^{rho} + beta y^{rho})^{1/rho}

In the CLI

econ-viz plot --latex "x^{0.4} y^{0.6}" --px 2 --py 3 --income 30 -o out.png

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