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"""Define utilities to export to sympy"""
from typing import Callable, Dict, List, Optional
import sympy
from sympy import sympify
sympy_mappings = {
"div": lambda x, y: x / y,
"mult": lambda x, y: x * y,
"sqrt": lambda x: sympy.sqrt(x),
"sqrt_abs": lambda x: sympy.sqrt(abs(x)),
"square": lambda x: x**2,
"cube": lambda x: x**3,
"plus": lambda x, y: x + y,
"sub": lambda x, y: x - y,
"neg": lambda x: -x,
"pow": lambda x, y: x**y,
"pow_abs": lambda x, y: abs(x) ** y,
"cos": sympy.cos,
"sin": sympy.sin,
"tan": sympy.tan,
"cosh": sympy.cosh,
"sinh": sympy.sinh,
"tanh": sympy.tanh,
"exp": sympy.exp,
"acos": sympy.acos,
"asin": sympy.asin,
"atan": sympy.atan,
"acosh": lambda x: sympy.acosh(x),
"acosh_abs": lambda x: sympy.acosh(abs(x) + 1),
"asinh": sympy.asinh,
"atanh": lambda x: sympy.atanh(sympy.Mod(x + 1, 2) - 1),
"atanh_clip": lambda x: sympy.atanh(sympy.Mod(x + 1, 2) - 1),
"abs": abs,
"mod": sympy.Mod,
"erf": sympy.erf,
"erfc": sympy.erfc,
"log": lambda x: sympy.log(x),
"log10": lambda x: sympy.log(x, 10),
"log2": lambda x: sympy.log(x, 2),
"log1p": lambda x: sympy.log(x + 1),
"log_abs": lambda x: sympy.log(abs(x)),
"log10_abs": lambda x: sympy.log(abs(x), 10),
"log2_abs": lambda x: sympy.log(abs(x), 2),
"log1p_abs": lambda x: sympy.log(abs(x) + 1),
"floor": sympy.floor,
"ceil": sympy.ceiling,
"sign": sympy.sign,
"gamma": sympy.gamma,
"round": lambda x: sympy.ceiling(x - 0.5),
"max": lambda x, y: sympy.Piecewise((y, x < y), (x, True)),
"min": lambda x, y: sympy.Piecewise((x, x < y), (y, True)),
"cond": lambda x, y: sympy.Piecewise((y, x > 0), (0.0, True)),
"logical_or": lambda x, y: sympy.Piecewise((1.0, (x > 0) | (y > 0)), (0.0, True)),
"logical_and": lambda x, y: sympy.Piecewise((1.0, (x > 0) & (y > 0)), (0.0, True)),
"relu": lambda x: sympy.Piecewise((0.0, x < 0), (x, True)),
}
def create_sympy_symbols_map(
feature_names_in: List[str],
) -> Dict[str, sympy.Symbol]:
return {variable: sympy.Symbol(variable) for variable in feature_names_in}
def create_sympy_symbols(
feature_names_in: List[str],
) -> List[sympy.Symbol]:
return [sympy.Symbol(variable) for variable in feature_names_in]
def pysr2sympy(
equation: str,
*,
feature_names_in: Optional[List[str]] = None,
extra_sympy_mappings: Optional[Dict[str, Callable]] = None,
):
if feature_names_in is None:
feature_names_in = []
local_sympy_mappings = {
**create_sympy_symbols_map(feature_names_in),
**(extra_sympy_mappings if extra_sympy_mappings is not None else {}),
**sympy_mappings,
}
return sympify(equation, locals=local_sympy_mappings)
def assert_valid_sympy_symbol(var_name: str) -> None:
if var_name in sympy_mappings or var_name in sympy.__dict__.keys():
raise ValueError(f"Variable name {var_name} is already a function name.")
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