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| ##### | |
| # From https://github.com/patrick-kidger/sympytorch | |
| # Copied here to allow PySR-specific tweaks | |
| ##### | |
| import collections as co | |
| import functools as ft | |
| import sympy | |
| def _reduce(fn): | |
| def fn_(*args): | |
| return ft.reduce(fn, args) | |
| return fn_ | |
| torch_initialized = False | |
| torch = None | |
| SingleSymPyModule = None | |
| def _initialize_torch(): | |
| global torch_initialized | |
| global torch | |
| global SingleSymPyModule | |
| # Way to lazy load torch, only if this is called, | |
| # but still allow this module to be loaded in __init__ | |
| if not torch_initialized: | |
| import torch as _torch | |
| torch = _torch | |
| _global_func_lookup = { | |
| sympy.Mul: _reduce(torch.mul), | |
| sympy.Add: _reduce(torch.add), | |
| sympy.div: torch.div, | |
| sympy.Abs: torch.abs, | |
| sympy.sign: torch.sign, | |
| # Note: May raise error for ints. | |
| sympy.ceiling: torch.ceil, | |
| sympy.floor: torch.floor, | |
| sympy.log: torch.log, | |
| sympy.exp: torch.exp, | |
| sympy.sqrt: torch.sqrt, | |
| sympy.cos: torch.cos, | |
| sympy.acos: torch.acos, | |
| sympy.sin: torch.sin, | |
| sympy.asin: torch.asin, | |
| sympy.tan: torch.tan, | |
| sympy.atan: torch.atan, | |
| sympy.atan2: torch.atan2, | |
| # Note: May give NaN for complex results. | |
| sympy.cosh: torch.cosh, | |
| sympy.acosh: torch.acosh, | |
| sympy.sinh: torch.sinh, | |
| sympy.asinh: torch.asinh, | |
| sympy.tanh: torch.tanh, | |
| sympy.atanh: torch.atanh, | |
| sympy.Pow: torch.pow, | |
| sympy.re: torch.real, | |
| sympy.im: torch.imag, | |
| sympy.arg: torch.angle, | |
| # Note: May raise error for ints and complexes | |
| sympy.erf: torch.erf, | |
| sympy.loggamma: torch.lgamma, | |
| sympy.Eq: torch.eq, | |
| sympy.Ne: torch.ne, | |
| sympy.StrictGreaterThan: torch.gt, | |
| sympy.StrictLessThan: torch.lt, | |
| sympy.LessThan: torch.le, | |
| sympy.GreaterThan: torch.ge, | |
| sympy.And: torch.logical_and, | |
| sympy.Or: torch.logical_or, | |
| sympy.Not: torch.logical_not, | |
| sympy.Max: torch.max, | |
| sympy.Min: torch.min, | |
| sympy.Mod: torch.remainder, | |
| sympy.Heaviside: torch.heaviside, | |
| sympy.core.numbers.Half: (lambda: 0.5), | |
| sympy.core.numbers.One: (lambda: 1.0), | |
| } | |
| class _Node(torch.nn.Module): | |
| """SympyTorch code from https://github.com/patrick-kidger/sympytorch""" | |
| def __init__(self, *, expr, _memodict, _func_lookup, **kwargs): | |
| super().__init__(**kwargs) | |
| self._sympy_func = expr.func | |
| if issubclass(expr.func, sympy.Float): | |
| self._value = torch.nn.Parameter(torch.tensor(float(expr))) | |
| self._torch_func = lambda: self._value | |
| self._args = () | |
| elif issubclass(expr.func, sympy.UnevaluatedExpr): | |
| if len(expr.args) != 1 or not issubclass( | |
| expr.args[0].func, sympy.Float | |
| ): | |
| raise ValueError( | |
| "UnevaluatedExpr should only be used to wrap floats." | |
| ) | |
| self.register_buffer("_value", torch.tensor(float(expr.args[0]))) | |
| self._torch_func = lambda: self._value | |
| self._args = () | |
| elif issubclass(expr.func, sympy.Integer): | |
| # Can get here if expr is one of the Integer special cases, | |
| # e.g. NegativeOne | |
| self._value = int(expr) | |
| self._torch_func = lambda: self._value | |
| self._args = () | |
| elif issubclass(expr.func, sympy.Symbol): | |
| self._name = expr.name | |
| self._torch_func = lambda value: value | |
| self._args = ((lambda memodict: memodict[expr.name]),) | |
| else: | |
| try: | |
| self._torch_func = _func_lookup[expr.func] | |
| except KeyError: | |
| raise KeyError( | |
| f"Function {expr.func} was not found in Torch function mappings." | |
| "Please add it to extra_torch_mappings in the format, e.g., " | |
| "{sympy.sqrt: torch.sqrt}." | |
| ) | |
| args = [] | |
| for arg in expr.args: | |
| try: | |
| arg_ = _memodict[arg] | |
| except KeyError: | |
| arg_ = type(self)( | |
| expr=arg, | |
| _memodict=_memodict, | |
| _func_lookup=_func_lookup, | |
| **kwargs, | |
| ) | |
| _memodict[arg] = arg_ | |
| args.append(arg_) | |
| self._args = torch.nn.ModuleList(args) | |
| def forward(self, memodict): | |
| args = [] | |
| for arg in self._args: | |
| try: | |
| arg_ = memodict[arg] | |
| except KeyError: | |
| arg_ = arg(memodict) | |
| memodict[arg] = arg_ | |
| args.append(arg_) | |
| return self._torch_func(*args) | |
| class _SingleSymPyModule(torch.nn.Module): | |
| """SympyTorch code from https://github.com/patrick-kidger/sympytorch""" | |
| def __init__( | |
| self, expression, symbols_in, selection=None, extra_funcs=None, **kwargs | |
| ): | |
| super().__init__(**kwargs) | |
| if extra_funcs is None: | |
| extra_funcs = {} | |
| _func_lookup = co.ChainMap(_global_func_lookup, extra_funcs) | |
| _memodict = {} | |
| self._node = _Node( | |
| expr=expression, _memodict=_memodict, _func_lookup=_func_lookup | |
| ) | |
| self._expression_string = str(expression) | |
| self._selection = selection | |
| self.symbols_in = [str(symbol) for symbol in symbols_in] | |
| def __repr__(self): | |
| return f"{type(self).__name__}(expression={self._expression_string})" | |
| def forward(self, X): | |
| if self._selection is not None: | |
| X = X[:, self._selection] | |
| symbols = {symbol: X[:, i] for i, symbol in enumerate(self.symbols_in)} | |
| return self._node(symbols) | |
| SingleSymPyModule = _SingleSymPyModule | |
| def sympy2torch(expression, symbols_in, selection=None, extra_torch_mappings=None): | |
| """Returns a module for a given sympy expression with trainable parameters; | |
| This function will assume the input to the module is a matrix X, where | |
| each column corresponds to each symbol you pass in `symbols_in`. | |
| """ | |
| global SingleSymPyModule | |
| _initialize_torch() | |
| return SingleSymPyModule( | |
| expression, symbols_in, selection=selection, extra_funcs=extra_torch_mappings | |
| ) | |