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# This file is part of Hypothesis, which may be found at
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# https://github.com/HypothesisWorks/hypothesis/
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#
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# Copyright the Hypothesis Authors.
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# Individual contributors are listed in AUTHORS.rst and the git log.
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#
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# This Source Code Form is subject to the terms of the Mozilla Public License,
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# v. 2.0. If a copy of the MPL was not distributed with this file, You can
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# obtain one at https://mozilla.org/MPL/2.0/.
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import enum
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import hashlib
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import heapq
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import sys
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from collections import OrderedDict, abc
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from functools import lru_cache
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from typing import TYPE_CHECKING, List, Optional, Sequence, Tuple, Type, TypeVar, Union
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from hypothesis.errors import InvalidArgument
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from hypothesis.internal.compat import int_from_bytes
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from hypothesis.internal.floats import next_up
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if TYPE_CHECKING:
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from hypothesis.internal.conjecture.data import ConjectureData
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LABEL_MASK = 2**64 - 1
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def calc_label_from_name(name: str) -> int:
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hashed = hashlib.sha384(name.encode()).digest()
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return int_from_bytes(hashed[:8])
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def calc_label_from_cls(cls: type) -> int:
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return calc_label_from_name(cls.__qualname__)
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def combine_labels(*labels: int) -> int:
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label = 0
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for l in labels:
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label = (label << 1) & LABEL_MASK
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label ^= l
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return label
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SAMPLE_IN_SAMPLER_LABEL = calc_label_from_name("a sample() in Sampler")
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ONE_FROM_MANY_LABEL = calc_label_from_name("one more from many()")
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T = TypeVar("T")
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def check_sample(
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values: Union[Type[enum.Enum], Sequence[T]], strategy_name: str
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) -> Sequence[T]:
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if "numpy" in sys.modules and isinstance(values, sys.modules["numpy"].ndarray):
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if values.ndim != 1:
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raise InvalidArgument(
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"Only one-dimensional arrays are supported for sampling, "
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f"and the given value has {values.ndim} dimensions (shape "
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f"{values.shape}). This array would give samples of array slices "
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"instead of elements! Use np.ravel(values) to convert "
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"to a one-dimensional array, or tuple(values) if you "
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"want to sample slices."
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)
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elif not isinstance(values, (OrderedDict, abc.Sequence, enum.EnumMeta)):
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raise InvalidArgument(
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f"Cannot sample from {values!r}, not an ordered collection. "
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f"Hypothesis goes to some length to ensure that the {strategy_name} "
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"strategy has stable results between runs. To replay a saved "
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"example, the sampled values must have the same iteration order "
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"on every run - ruling out sets, dicts, etc due to hash "
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"randomization. Most cases can simply use `sorted(values)`, but "
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"mixed types or special values such as math.nan require careful "
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"handling - and note that when simplifying an example, "
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"Hypothesis treats earlier values as simpler."
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)
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if isinstance(values, range):
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return values
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return tuple(values)
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def choice(
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data: "ConjectureData", values: Sequence[T], *, forced: Optional[T] = None
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) -> T:
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forced_i = None if forced is None else values.index(forced)
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i = data.draw_integer(0, len(values) - 1, forced=forced_i)
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return values[i]
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class Sampler:
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"""Sampler based on Vose's algorithm for the alias method. See
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http://www.keithschwarz.com/darts-dice-coins/ for a good explanation.
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The general idea is that we store a table of triples (base, alternate, p).
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base. We then pick a triple uniformly at random, and choose its alternate
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value with probability p and else choose its base value. The triples are
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chosen so that the resulting mixture has the right distribution.
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We maintain the following invariants to try to produce good shrinks:
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1. The table is in lexicographic (base, alternate) order, so that choosing
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an earlier value in the list always lowers (or at least leaves
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unchanged) the value.
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2. base[i] < alternate[i], so that shrinking the draw always results in
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shrinking the chosen element.
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"""
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table: List[Tuple[int, int, float]] # (base_idx, alt_idx, alt_chance)
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def __init__(self, weights: Sequence[float]):
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n = len(weights)
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table: "list[list[int | float | None]]" = [[i, None, None] for i in range(n)]
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total = sum(weights)
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num_type = type(total)
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zero = num_type(0) # type: ignore
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one = num_type(1) # type: ignore
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small: "List[int]" = []
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large: "List[int]" = []
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probabilities = [w / total for w in weights]
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scaled_probabilities: "List[float]" = []
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for i, alternate_chance in enumerate(probabilities):
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scaled = alternate_chance * n
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scaled_probabilities.append(scaled)
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if scaled == 1:
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table[i][2] = zero
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elif scaled < 1:
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small.append(i)
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else:
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large.append(i)
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heapq.heapify(small)
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heapq.heapify(large)
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while small and large:
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lo = heapq.heappop(small)
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hi = heapq.heappop(large)
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assert lo != hi
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assert scaled_probabilities[hi] > one
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assert table[lo][1] is None
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table[lo][1] = hi
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table[lo][2] = one - scaled_probabilities[lo]
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scaled_probabilities[hi] = (
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scaled_probabilities[hi] + scaled_probabilities[lo]
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) - one
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if scaled_probabilities[hi] < 1:
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heapq.heappush(small, hi)
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elif scaled_probabilities[hi] == 1:
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table[hi][2] = zero
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else:
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heapq.heappush(large, hi)
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while large:
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table[large.pop()][2] = zero
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while small:
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table[small.pop()][2] = zero
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self.table: "List[Tuple[int, int, float]]" = []
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for base, alternate, alternate_chance in table: # type: ignore
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assert isinstance(base, int)
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assert isinstance(alternate, int) or alternate is None
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if alternate is None:
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self.table.append((base, base, alternate_chance))
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elif alternate < base:
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self.table.append((alternate, base, one - alternate_chance))
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else:
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self.table.append((base, alternate, alternate_chance))
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self.table.sort()
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def sample(self, data: "ConjectureData", forced: Optional[int] = None) -> int:
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data.start_example(SAMPLE_IN_SAMPLER_LABEL)
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forced_choice = ( # pragma: no branch # https://github.com/nedbat/coveragepy/issues/1617
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None
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if forced is None
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else next((b, a, a_c) for (b, a, a_c) in self.table if forced in (b, a))
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)
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base, alternate, alternate_chance = choice(
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data, self.table, forced=forced_choice
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)
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use_alternate = data.draw_boolean(
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alternate_chance, forced=None if forced is None else forced == alternate
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)
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data.stop_example()
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if use_alternate:
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assert forced is None or alternate == forced, (forced, alternate)
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return alternate
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else:
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assert forced is None or base == forced, (forced, base)
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return base
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INT_SIZES = (8, 16, 32, 64, 128)
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INT_SIZES_SAMPLER = Sampler((4.0, 8.0, 1.0, 1.0, 0.5))
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class many:
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"""Utility class for collections. Bundles up the logic we use for "should I
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keep drawing more values?" and handles starting and stopping examples in
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the right place.
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Intended usage is something like:
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elements = many(data, ...)
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while elements.more():
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add_stuff_to_result()
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"""
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def __init__(
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self,
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data: "ConjectureData",
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min_size: int,
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max_size: Union[int, float],
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average_size: Union[int, float],
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*,
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forced: Optional[int] = None,
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) -> None:
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assert 0 <= min_size <= average_size <= max_size
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assert forced is None or min_size <= forced <= max_size
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self.min_size = min_size
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self.max_size = max_size
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self.data = data
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self.forced_size = forced
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self.p_continue = _calc_p_continue(average_size - min_size, max_size - min_size)
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self.count = 0
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self.rejections = 0
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self.drawn = False
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self.force_stop = False
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self.rejected = False
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def more(self) -> bool:
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"""Should I draw another element to add to the collection?"""
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if self.drawn:
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self.data.stop_example(discard=self.rejected)
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self.drawn = True
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self.rejected = False
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self.data.start_example(ONE_FROM_MANY_LABEL)
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if self.min_size == self.max_size:
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# if we have to hit an exact size, draw unconditionally until that
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# point, and no further.
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should_continue = self.count < self.min_size
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else:
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forced_result = None
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if self.force_stop:
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# if our size is forced, we can't reject in a way that would
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# cause us to differ from the forced size.
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assert self.forced_size is None or self.count == self.forced_size
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forced_result = False
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elif self.count < self.min_size:
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forced_result = True
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elif self.count >= self.max_size:
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forced_result = False
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elif self.forced_size is not None:
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forced_result = self.count < self.forced_size
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should_continue = self.data.draw_boolean(
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self.p_continue, forced=forced_result
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)
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if should_continue:
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self.count += 1
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return True
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else:
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self.data.stop_example()
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return False
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def reject(self, why: Optional[str] = None) -> None:
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"""Reject the last example (i.e. don't count it towards our budget of
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elements because it's not going to go in the final collection)."""
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assert self.count > 0
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self.count -= 1
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self.rejections += 1
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self.rejected = True
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# We set a minimum number of rejections before we give up to avoid
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# failing too fast when we reject the first draw.
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if self.rejections > max(3, 2 * self.count):
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if self.count < self.min_size:
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self.data.mark_invalid(why)
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else:
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self.force_stop = True
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SMALLEST_POSITIVE_FLOAT: float = next_up(0.0) or sys.float_info.min
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@lru_cache
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def _calc_p_continue(desired_avg: float, max_size: int) -> float:
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"""Return the p_continue which will generate the desired average size."""
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assert desired_avg <= max_size, (desired_avg, max_size)
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if desired_avg == max_size:
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return 1.0
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p_continue = 1 - 1.0 / (1 + desired_avg)
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if p_continue == 0 or max_size == float("inf"):
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assert 0 <= p_continue < 1, p_continue
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return p_continue
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assert 0 < p_continue < 1, p_continue
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# For small max_size, the infinite-series p_continue is a poor approximation,
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# and while we can't solve the polynomial a few rounds of iteration quickly
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# gets us a good approximate solution in almost all cases (sometimes exact!).
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while _p_continue_to_avg(p_continue, max_size) > desired_avg:
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# This is impossible over the reals, but *can* happen with floats.
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p_continue -= 0.0001
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# If we've reached zero or gone negative, we want to break out of this loop,
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# and do so even if we're on a system with the unsafe denormals-are-zero flag.
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# We make that an explicit error in st.floats(), but here we'd prefer to
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# just get somewhat worse precision on collection lengths.
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if p_continue < SMALLEST_POSITIVE_FLOAT:
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p_continue = SMALLEST_POSITIVE_FLOAT
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break
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# Let's binary-search our way to a better estimate! We tried fancier options
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# like gradient descent, but this is numerically stable and works better.
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hi = 1.0
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while desired_avg - _p_continue_to_avg(p_continue, max_size) > 0.01:
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assert 0 < p_continue < hi, (p_continue, hi)
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mid = (p_continue + hi) / 2
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if _p_continue_to_avg(mid, max_size) <= desired_avg:
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p_continue = mid
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else:
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hi = mid
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assert 0 < p_continue < 1, p_continue
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assert _p_continue_to_avg(p_continue, max_size) <= desired_avg
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return p_continue
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def _p_continue_to_avg(p_continue: float, max_size: int) -> float:
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"""Return the average_size generated by this p_continue and max_size."""
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if p_continue >= 1:
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return max_size
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return (1.0 / (1 - p_continue) - 1) * (1 - p_continue**max_size)
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