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require "digest"
require "minitest"
module Minitest
class Thesis < Test
VERSION = "0.1.0"
# Runs a test. Usage is:
#
# run_test do |test_case|
# n = test_case.choice(1000)
# end
#
# The block takes a `TestCase` argument, and should raise an exception to
# indicate a test failure. It will either run silently or print drawn
# values and then fail with an exception if minithesis finds some test case
# that fails.
#
# Arguments:
# * max_examples: the maximum number of valid test cases to run for.
# Note that under some circumstances the test may run fewer test
# cases than this.
# * random: An instance of random.Random that will be used for all
# nondeterministic choices.
# * database: A Hash-like object in which results will be cached and resumed
# from, ensuring that if a test is run twice it fails in the same way.
# * quiet: Will not print anything on failure if True.
def run_test(
name,
max_examples: 100,
random: Random.new,
database: DirectoryDb.new(".minitest-thesis-cache"),
quiet: false,
&test
)
mark_failures_interesting = ->(test_case) do
test.(test_case)
rescue Exception
raise unless test_case.status.nil?
test_case.mark_status(Status::INTERESTING)
end
state = TestingState.new(random:, test_function: mark_failures_interesting, max_examples:)
prev_failure = database[name]
unless prev_failure.nil?
choices = prev_failure.unpack("Q>*")
state.test_function(TestCase.for_choices(choices))
end
if state.result.nil?
state.run
end
if state.valid_test_cases.zero?
raise Unsatisfiable
end
if state.result.nil?
database.delete(name)
else
database[name] = state.result.pack("Q>*")
end
unless state.result.nil?
test.(TestCase.for_choices(state.result, print_results: !quiet))
end
end
# Represents a single generated test case, which consists of an underlying
# set of choices that produce possibilities.
class TestCase
# Returns a test case that makes this series of choices.
def self.for_choices(choices, print_results: false)
self.new(prefix: choices, random: nil, max_size: choices.length, print_results:)
end
attr_accessor :status
attr_reader :choices, :targeting_score
def initialize(prefix:, random:, max_size: Float::INFINITY, print_results: false)
@prefix, @random, @max_size, @print_results = prefix, random, max_size, print_results
@choices = []
@status = nil
@depth = 0
@targeting_score = nil
end
# Returns a number in the range [0, n]
def choice(n)
result = make_choice(n) { @random.rand(n) }
puts "choice(#{n}): #{result}" if should_print?
result
end
# Return True with probability `p`.
def weighted(p)
if p.zero? || p.negative?
result = forced_choice(0)
elsif p >= 1
result = forced_choice(1)
else
result = make_choice(1) { (@random.rand <= p) ? 1 : 0 }
end
puts "weighted(#{p}): #{result}" if should_print?
result
end
# Inserts a fake choice into the choice sequence, as if some call to
# choice() had returned `n`. You almost never need this, but sometimes it
# can be a useful hint to the shrinker.
def forced_choice(n)
raise RangeError.new("Invalid choice #{n}") if n.bit_length > 64 || n.negative?
raise Frozen unless @status.nil?
mark_status(Status::OVERRUN) if @choices.length >= @max_size
choices << n
n
end
# Mark this test case as invalid.
def reject = mark_status(Status::INVALID)
# If this precondition is not met, abort the test and mark this test case as invalid.
def assume(precondition)
return if precondition
reject
end
# Set a score to maximize. Multiple calls to this function will override previous ones.
#
# The name and idea come from Löscher, Andreas, and Konstantinos Sagonas.
# "Targeted property-based testing." ISSTA. 2017, but the implementation
# is based on that found in Hypothesis, which is not that similar to
# anything described in the paper.
def target(score) = @targeting_score = score
# Return a possible value from `possibility`.
def any(possibility)
begin
@depth += 1
result = possibility.produce.(self)
ensure
@depth -= 1
end
puts "any(#{possibility}): #{result}" if should_print?
result
end
# Set the status and raise StopTest.
def mark_status(status)
raise Frozen unless self.status.nil?
@status = status
raise StopTest
end
private
def should_print? = @print_results && @depth.zero?
# Make a choice in [0, n], by calling rnd_method if randomness is needed.
def make_choice(n, &rnd_method)
raise RangeError.new("Invalid choice #{n}") if n.bit_length > 64 || n.negative?
raise Frozen unless @status.nil?
mark_status(Status::OVERRUN) if @choices.length >= @max_size
result = if @choices.length < @prefix.length
@prefix[@choices.length]
else
rnd_method.()
end
@choices << result
mark_status(Status::INVALID) if result > n
result
end
end
# Represents some range of values that might be used in a test, that can be
# requested from a `TestCase`. Pass one of these to TestCase.any to get a
# concrete value.
class Possibility
attr_reader :produce, :name
def initialize(produce, name: "TODO")
@produce = produce
@name = name
end
def inspect = name
def to_s = name
# "Returns a `Possibility` where values come from applying `f` to some possible value for `self`."
def map(&f)
self.class.new(
->(test_case) { f.(test_case.any(self)) },
name: "#{name}.map(TODO)",
)
end
# Returns a `Possibility` where values come from applying `f` (which
# should return a new `Possibility` to some possible value for `self`
# then returning a possible value from that.
def bind(&f)
produce = ->(test_case) { test_case.any(f.(test_case.any(self))) }
self.class.new(produce, name: "#{name}.bind(TODO)")
end
# Returns a `Possibility` whose values are any possible value of `self`
# for which `f` returns True.
def satisfying(&f)
produce = ->(test_case) {
3.times do
candidate = test_case.any(self)
return candidate if f.(candidate)
end
test_case.reject
}
self.class.new(produce, name: "#{name}.select(TODO)")
end
end
# Any integer in the range [m, n] is possible
def integers(m, n) = Possibility.new(->(tc) { m + tc.choice(n - m) }, name: "integers(#{m}, #{n})")
# Any lists whose elements are possible values from `elements` are possible.
def lists(elements, min_size: 0, max_size: Float::INFINITY)
produce = ->(test_case) {
result = []
loop do
if result.length < min_size
test_case.forced_choice(1)
elsif result.length + 1 >= max_size
test_case.forced_choice(0)
break
elsif test_case.weighted(0.9).zero?
break
end
result << test_case.any(elements)
end
result
}
Possibility.new(produce, name: "lists(#{elements.name})")
end
# Only `value` is possible.
def just(value) = Possibility.new(->(_) { value }, name: "just(#{value})")
# No possible values. i.e. Any call to `any` will reject the test case.
def nothing = Possibility.new(->(tc) { tc.reject })
# Possible values can be any value possible for one of `possibilities`.
def mix_of(*possibilities)
return nothing if possibilities.empty?
Possibility.new(
->(tc) { tc.any(possibilities[tc.choice(possibilities.length - 1)]) },
name: "mix_of(#{possibilities.map(&:name).join(", ")})",
)
end
# Any tuple t of of length len(possibilities) such that t[i] is possible
# for possibilities[i] is possible.
def tuples(*possibilities)
Possibility.new(
->(tc) { possibilities.map {|p| tc.any(p) } },
name: "tuples(#{possibilities.map(&:name).join(", ")})",
)
end
# We cap the maximum amount of entropy a test case can use.
# This prevents cases where the generated test case size explodes
# by effectively rejection
BUFFER_SIZE = 8 * 1024
# Returns a cached version of a function that maps a choice sequence to the
# status of calling a test function on a test case populated with it. Is
# able to take advantage of the structure of the test function to predict
# the result even if exact sequence of choices has not been seen
# previously.
#
# You can safely omit implementing this at the cost of somewhat increased
# shrinking time.
class CachedTestFunction
def initialize(&test_function)
@test_function = test_function
# Tree nodes are either a point at which a choice occurs
# in which case they map the result of the choice to the
# tree node we are in after, or a Status object indicating
# mark_status was called at this point and all future
# choices are irrelevant.
#
# Note that a better implementation of this would use
# a Patricia trie, which implements long non-branching
# paths as an array inline. For simplicity we don't
# do that here.
@tree = {}
end
def call(choices)
node = @tree
begin
choices.each do |c|
node = node.fetch(c)
# mark_status was called, thus future choices
# will be ignored.
if node.is_a?(Status)
fail if node == Status::OVERRUN
return node
end
end
# If we never entered an unknown region of the tree
# or hit a Status value, then we know that another
# choice will be made next and the result will overrun.
return Status::OVERRUN
rescue KeyError
end
# We now have to actually call the test function to find out what
# happens.
test_case = TestCase.for_choices(choices)
@test_function.(test_case)
fail if test_case.status.nil?
# We enter the choices made in a tree.
node = @tree
test_case.choices.each.with_index do |c, i|
if i + 1 < test_case.choices.length || test_case.status == Status::OVERRUN
if node.has_key?(c)
node = node[c]
else
node = node[c] = {}
end
else
node[c] = test_case.status
end
end
test_case.status
end
end
class TestingState
attr_reader :result, :valid_test_cases, :calls
def initialize(random:, test_function:, max_examples:)
@random, @_test_function, @max_examples = random, test_function, max_examples
@valid_test_cases = 0
@calls = 0
@test_is_trivial = false
end
def test_function(test_case)
begin
@_test_function.(test_case)
rescue StopTest
end
if test_case.status.nil?
test_case.status = Status::VALID
end
@calls += 1
if test_case.status >= Status::INVALID && test_case.choices.length.zero?
@test_is_trivial = true
end
if test_case.status >= Status::VALID
@valid_test_cases += 1
unless test_case.targeting_score.nil?
relevant_info = [test_case.targeting_score, test_case.choices]
if @best_scoring.nil?
@best_scoring = relevant_info
else
best, _ = @best_scoring
if test_case.targeting_score > best
@best_scoring = relevant_info
end
end
end
end
if test_case.status == Status::INTERESTING && (
@result.nil? || ((sort_key(test_case.choices) <=> sort_key(@result)) == -1)
)
@result = test_case.choices
end
end
# If any test cases have had `target()` called on them, do a simple
# hill climbing algorithm to attempt to optimise that target score.
def target
return if !@result.nil? || @best_scoring.nil?
# Can we improve the score by changing choices[i] by `step`?
adjust = ->(i, step) do
fail if @best_scoring.nil?
score, choices = @best_scoring
return false if choices[i] + step < 0 || choices[i].bit_length >= 64
attempt = choices.dup
attempt[i] += step
test_case = TestCase.new(
prefix: attempt, random: @random, max_size: BUFFER_SIZE
)
test_function(test_case)
fail if test_case.status.nil?
test_case.status >= Status::VALID &&
!test_case.targeting_score.nil? &&
test_case.targeting_score > score
end
while keep_generating?
i = @random.rand(@best_scoring[1].length)
sign = 0
[1, -1].each do |k|
return unless keep_generating?
if adjust.(i, k)
sign = k
break
end
end
next if sign.zero?
k = 1
k *= 2 while keep_generating? && adjust.(i, sign * k)
while k.positive?
while keep_generating? && adjust.(i, sign * k)
end
k /= 2
end
end
end
def run
generate
target
shrink
end
def keep_generating?
!@test_is_trivial &&
result.nil? &&
@valid_test_cases < @max_examples &&
# We impose a limit on the maximum number of calls as
# well as the maximum number of valid examples. This is
# to avoid taking a prohibitively long time on tests which
# have hard or impossible to satisfy preconditions.
@calls < @max_examples * 10
end
# Run random generation until either we have found an interesting test
# case or hit the limit of how many test cases we should evaluate.
def generate
while keep_generating? && (@best_scoring.nil? || @valid_test_cases < @max_examples / 2)
test_function(TestCase.new(prefix: [], random: @random, max_size: BUFFER_SIZE))
end
end
# If we have found an interesting example, try shrinking it so that the
# choice sequence leading to our best example is shortlex smaller than
# the one we originally found. This improves the quality of the generated
# test case, as per our paper.
#
# https://drmaciver.github.io/papers/reduction-via-generation-preview.pdf
def shrink
# if not self.result:
# return
return if @result.nil? || @result.empty?
# Shrinking will typically try the same choice sequences over and over
# again, so we cache the test function in order to not end up
# reevaluating it in those cases. This also allows us to catch cases
# where we try something that is e.g. a prefix of something we've
# previously tried, which is guaranteed not to work.
cached = CachedTestFunction.new {|tc| test_function(tc) }
consider = ->(choices) do
return true if choices == @result
cached.(choices) == Status::INTERESTING
end
fail unless consider.(@result)
# We are going to perform a number of transformations to the current
# result, iterating until none of them make any progress - i.e. until
# we make it through an entire iteration of the loop without changing
# the result.
prev = nil
while prev != @result
prev = @result
# A note on weird loop order: We iterate backwards through the choice
# sequence rather than forwards, because later bits tend to depend on
# earlier bits so it's easier to make changes near the end and
# deleting bits at the end may allow us to make changes earlier on
# that we we'd have missed.
#
# Note that we do not restart the loop at the end when we find a
# successful shrink. This is because things we've already tried are
# less likely to work.
#
# If this guess is wrong, that's OK, this isn't a correctness
# problem, because if we made a successful reduction then we are not
# at a fixed point and will restart the loop at the end the next time
# round. In some cases this can result in performance issues, but the
# end result should still be fine.
# First try deleting each choice we made in chunks. We try longer
# chunks because this allows us to delete whole composite elements:
# e.g. deleting an element from a generated list requires us to
# delete both the choice of whether to include it and also the
# element itself, which may involve more than one choice. Some things
# will take more than 8 choices in the sequence. That's too bad, we
# may not be able to delete those. In Hypothesis proper we record the
# boundaries corresponding to `any` calls so that we can try deleting
# those, but that's pretty high overhead and also a bunch of slightly
# annoying code that it's not worth porting.
#
# We could instead do a quadratic amount of work to try all
# boundaries, but in general we don't want to do that because even a
# shrunk test case can involve a relatively large number of choices.
k = 8
while k.positive?
i = @result.length - k - 1
until i.negative?
if i >= @result.length
# Can happen if we successfully lowered the value at i - 1
i -= 1
next
end
attempt = @result[0...i] + (@result[i + k..] || [])
fail unless attempt.length < @result.length
unless consider.(attempt)
# This fixes a common problem that occurs
# when you have dependencies on some
# length parameter. e.g. draw a number
# between 0 and 10 and then draw that
# many elements. This can't delete
# everything that occurs that way, but
# it can delete some things and often
# will get us unstuck when nothing else
# does.
if i.positive? && attempt[i - 1].positive?
attempt[i - 1] -= 1
i += 1 if consider.(attempt)
end
i -= 1
end
end
k /= 2
end
# Attempts to replace some indices in the current result with new
# values. Useful for some purely lexicographic reductions that we are
# about to perform.
replace = ->(values) do
fail if @result.nil?
attempt = @result.dup
values.each do |i, v|
# The size of self.result can change during shrinking. If that
# happens, stop attempting to make use of these replacements
# because some other shrink pass is better to run now.
return false if i >= attempt.length
attempt[i] = v
end
consider.(attempt)
end
# Now we try replacing blocks of choices with zeroes. Note that
# unlike the above we skip k = 1 because we handle that in the next
# step. Often (but not always) a block of all zeroes is the shortlex
# smallest value that a region can be.
k = 8
while k > 1
i = @result.length - k
until i.negative?
if replace.((i...i+k).to_h {|i| [i, 0]})
# If we've succeeded then all of [i, i + k] is zero so we
# adjust i so that the next region does not overlap with this
# at all.
i -= k
else
# Otherwise we might still be able to zero some of these values
# but not the last one, so we just go back one.
i -= 1
end
end
k /= 2
end
# Now try replacing each choice with a smaller value by doing a
# binary search. This will replace n with 0 or n - 1 if possible, but
# will also more efficiently replace it with a smaller number than
# doing multiple subtractions would.
i = @result.length - 1
until i.negative?
# Attempt to replace
bin_search_down(0, @result[i]) {|v| replace.({i => v}) }
i -= 1
end
# NB from here on this is just showing off cool shrinker tricks and
# you probably don't need to worry about it and can skip these bits
# unless they're easy and you want bragging rights for how much
# better you are at shrinking than the local QuickCheck equivalent.
# Try sorting out of order ranges of choices, as `sort(x) <= x`, so
# this is always a lexicographic reduction.
k = 8
# while k > 1:
while k > 1
(@result.length - k - 1).downto(0).each do |i|
consider.(@result[0...i] + @result[i...i+k].sort + @result[i+k..])
end
k /= 2
end
# Try adjusting nearby pairs of integers by redistributing value
# between them. This is useful for tests that depend on the sum of
# some generated values.
[2, 1].each do |k|
(@result.length - k - 1).downto(0).each do |i|
j = i + k
# This check is necessary because the previous changes might have
# shrunk the size of result, but also it's tedious to write tests
# for this so I didn't.
if j < @result.length
# Try swapping out of order pairs
if @result[i] > @result[j]
replace.({j => @result[i], i => @result[j]})
end
# j could be out of range if the previous swap succeeded.
if j < @result.length && @result[i].positive?
prev_i = @result[i]
prev_j = @result[j]
bin_search_down(0, prev_i) {|v|
replace.({i => v, j => prev_j + (prev_i - v)})
}
end
end
end
end
end
end
private
# Returns a key that can be used for the shrinking order of test cases.
def sort_key(choices) = [choices.length, choices]
# Returns n in [lo, hi] such that f(n) is True, where it is assumed and
# will not be checked that f(hi) is True.
#
# Will return `lo` if `f(lo)` is True, otherwise the only guarantee that is
# made is that `f(n - 1)` is False and `f(n)` is True. In particular this
# does *not* guarantee to find the smallest value, only a locally minimal
# one.
def bin_search_down(low, high, &f)
return low if f.(low)
while low + 1 < high
mid = low + (high - low) / 2
if f.(mid)
high = mid
else
low = mid
end
end
high
end
end
class DirectoryDb
def initialize(dir)
@dir = dir
Dir.mkdir(@dir)
rescue SystemCallError => e
raise unless e.errno == Errno::EEXIST::Errno
end
def [](key)
f = file(key)
return nil unless File.exist?(f)
File.read(f)
end
def []=(key, value)
File.write(file(key), value)
end
private
def file(key)
File.join(@dir, Digest::SHA1.hexdigest(key)[0...10])
end
end
class Error< StandardError; end
# Attempted to make choices on a test case that has been completed.
class Frozen < Error; end
# Raised when a test should stop executing early.
class StopTest < Error; end
# Raised when a test has no valid examples.
class Unsatisfiable < Error; end
class Status < Struct.new(:value)
# Test case didn't have enough data to complete
OVERRUN = self.new(0)
# Test case contained something that prevented completion
INVALID = self.new(1)
# Test case completed just fine but was boring
VALID = self.new(2)
# Test case completed and was interesting
INTERESTING = self.new(3)
include Comparable
def <=>(other)
value <=> other.value
end
end
end
end