__copyright__ = "Copyright (C) 2022 Kaushik Kulkarni" __license__ = """ Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ import numpy as np import pymbolic.primitives as prim from dataclasses import dataclass, replace from pytools import UniqueNameGenerator from pymbolic.mapper import IdentityMapper, CachedIdentityMapper from pymbolic.mapper.optimize import optimize_mapper @dataclass(frozen=True, eq=True) class RandomExpressionGeneratorContext: rng: np.random.Generator vng: UniqueNameGenerator current_depth: int max_depth: int def with_increased_depth(self): return replace(self, current_depth=self.current_depth+1) def _generate_random_expr_inner( context: RandomExpressionGeneratorContext) -> prim.Expression: if context.current_depth >= context.max_depth: # force expression to be a leaf type return context.rng.integers(0, 42) bucket = context.rng.integers(0, 100) / 100.0 # {{{ set some distribution of expression types # 'weight' is proportional to the probability of seeing an expression type weights = [1, 1, 1, 1, 1] expr_types = [prim.Variable, prim.Sum, prim.Product, prim.Quotient, prim.Call] assert len(weights) == len(expr_types) # }}} buckets = np.cumsum(weights, dtype="float64")/np.sum(weights) expr_type = expr_types[np.searchsorted(buckets, bucket)] if expr_type == prim.Variable: return prim.Variable(context.vng("x")) elif expr_type in [prim.Sum, prim.Product]: left = _generate_random_expr_inner(context.with_increased_depth()) right = _generate_random_expr_inner(context.with_increased_depth()) return expr_type((left, right)) elif expr_type == prim.Quotient: num = _generate_random_expr_inner(context.with_increased_depth()) den = _generate_random_expr_inner(context.with_increased_depth()) return prim.Quotient(num, den) elif expr_type == prim.Quotient: num = _generate_random_expr_inner(context.with_increased_depth()) den = _generate_random_expr_inner(context.with_increased_depth()) return prim.Quotient(num, den) elif expr_type == prim.Call: nargs = 3 return prim.Variable(context.vng("f"))( *[_generate_random_expr_inner(context.with_increased_depth()) for _ in range(nargs)]) else: raise NotImplementedError(expr_type) def generate_random_expression(seed: int, max_depth: int = 8) -> prim.Expression: from numpy.random import default_rng rng = default_rng(seed) vng = UniqueNameGenerator() context = RandomExpressionGeneratorContext(rng, vng=vng, max_depth=max_depth, current_depth=0) return _generate_random_expr_inner(context) # {{{ custom mappers for tests class _AlwaysFlatteningMixin: def map_sum(self, expr, *args, **kwargs): children = [self.rec(child, *args, **kwargs) for child in expr.children] from pymbolic.primitives import flattened_sum return flattened_sum(children) def map_product(self, expr, *args, **kwargs): children = [self.rec(child, *args, **kwargs) for child in expr.children] from pymbolic.primitives import flattened_product return flattened_product(children) class AlwaysFlatteningIdentityMapper(_AlwaysFlatteningMixin, IdentityMapper): pass class AlwaysFlatteningCachedIdentityMapper(_AlwaysFlatteningMixin, CachedIdentityMapper): pass # }}} # {{{ supporting bits for mapper optimizer test BIG_EXPR_STR = """ (-1)*((cse_577[_pt_data_48[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_49[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_48[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_577[_pt_data_46[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_47[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_46[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_577[_pt_data_7[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_43[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_7[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_577[_pt_data_44[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_45[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_44[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_579[_pt_data_68[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_69[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_68[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_579[_pt_data_66[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_67[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_66[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_579[_pt_data_50[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_63[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_50[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_579[_pt_data_64[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_65[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_64[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_581[_pt_data_88[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_89[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_88[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_581[_pt_data_86[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_87[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_86[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_581[_pt_data_70[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_83[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_70[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_581[_pt_data_84[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_85[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_84[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_582[_pt_data_107[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_108[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_107[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_582[_pt_data_105[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_106[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_105[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_582[_pt_data_90[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_102[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_90[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_582[_pt_data_103[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_104[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_103[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0)) + (cse_572[_pt_data_48[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_49[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_48[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_572[_pt_data_46[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_47[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_46[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_572[_pt_data_7[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_43[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_7[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_572[_pt_data_44[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_45[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_44[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_573[_pt_data_68[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_69[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_68[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_573[_pt_data_66[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_67[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_66[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_573[_pt_data_50[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_63[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_50[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_573[_pt_data_64[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_65[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_64[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_574[_pt_data_88[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_89[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_88[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_574[_pt_data_86[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_87[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_86[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_574[_pt_data_70[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_83[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_70[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_574[_pt_data_84[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_85[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_84[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_575[_pt_data_107[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_108[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_107[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_575[_pt_data_105[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_106[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_105[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_575[_pt_data_90[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_102[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_90[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) + (cse_575[_pt_data_103[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0], _pt_data_104[(iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 10]] if _pt_data_103[((iface_ensm15*1075540 + iel_ensm15*10 + idof_ensm15) % 4302160) // 10, 0] != -1 else 0) """ _replacements = { "iface_ensm15": prim.Variable("_0"), "iel_ensm15": prim.Variable("_1"), "idof_ensm15": prim.Variable("_2"), } class Renamer(IdentityMapper): def map_variable(self, expr): return _replacements.get(expr.name, expr) @optimize_mapper(drop_args=True, drop_kwargs=True, inline_cache=True, inline_rec=True, inline_get_cache_key=True) class OptimizedRenamer(CachedIdentityMapper): def map_variable(self, expr): return _replacements.get(expr.name, expr) def get_cache_key(self, expr): # Must add 'type(expr)', to differentiate between python scalar types. # In Python, the following conditions are true: "hash(4) == hash(4.0)" # and "4 == 4.0", but their traversal results cannot be re-used. return (type(expr), expr) # }}} # vim: foldmethod=marker