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