Package for computing dice and card probabilities.\n\nStarting with v0.25.1, you can replace latest in the URL with an old version\nnumber to get the documentation for that version.
\n\nSee this JupyterLite distribution\nfor examples.
\n\nVisit the project page.
\n\nGeneral conventions:
\n\n\n- Instances are immutable (apart from internal caching). Anything that looks\nlike it mutates an instance actually returns a separate instance with the\nchange.
\n
\n"}, "icepool.d": {"fullname": "icepool.d", "modulename": "icepool", "qualname": "d", "kind": "function", "doc": "A standard die, uniformly distributed from 1 to sides inclusive.
\n\nDon't confuse this with icepool.Die():
\n\n\nicepool.Die([6]): A Die that always rolls the integer 6.icepool.d(6): A d6.
\n\nYou can also import individual standard dice from the icepool module, e.g.\nfrom icepool import d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.z": {"fullname": "icepool.z", "modulename": "icepool", "qualname": "z", "kind": "function", "doc": "A die uniformly distributed from 0 to sides - 1 inclusive.
\n\nEqual to d(sides) - 1.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.coin": {"fullname": "icepool.coin", "modulename": "icepool", "qualname": "coin", "kind": "function", "doc": "A Die that rolls True with probability n / d, and False otherwise.
\n\nIf n <= 0 or n >= d the result will have only one outcome.
\n\nArguments:
\n\n\n- n: An int numerator, or a non-integer probability.
\n- d: An int denominator. Should not be provided if the first argument is\nnot an int.
\n
\n", "signature": "(\tn: int | float | fractions.Fraction,\td: int = 1,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[bool]:", "funcdef": "def"}, "icepool.stochastic_round": {"fullname": "icepool.stochastic_round", "modulename": "icepool", "qualname": "stochastic_round", "kind": "function", "doc": "Randomly rounds a value up or down to the nearest integer according to the two distances.
\n\nSpecificially, rounds x up with probability x - floor(x) and down\notherwise, producing a Die with up to two outcomes.
\n\nArguments:
\n\n\n- max_denominator: If provided, each rounding will be performed\nusing
fractions.Fraction.limit_denominator(max_denominator).\nOtherwise, the rounding will be performed without\nlimit_denominator. \n
\n", "signature": "(\tx,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.one_hot": {"fullname": "icepool.one_hot", "modulename": "icepool", "qualname": "one_hot", "kind": "function", "doc": "A Die with Vector outcomes with one element set to True uniformly at random and the rest False.
\n\nThis is an easy (if somewhat expensive) way of representing how many dice\nin a pool rolled each number. For example, the outcomes of 10 @ one_hot(6)\nare the (ones, twos, threes, fours, fives, sixes) rolled in 10d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[tuple[bool, ...]]:", "funcdef": "def"}, "icepool.Outcome": {"fullname": "icepool.Outcome", "modulename": "icepool", "qualname": "Outcome", "kind": "class", "doc": "Protocol to attempt to verify that outcome types are hashable and sortable.
\n\nFar from foolproof, e.g. it cannot enforce total ordering.
\n", "bases": "typing.Hashable, typing.Protocol[-T_contra]"}, "icepool.Die": {"fullname": "icepool.Die", "modulename": "icepool", "qualname": "Die", "kind": "class", "doc": "Sampling with replacement. Quantities represent weights.
\n\nDice are immutable. Methods do not modify the Die in-place;\nrather they return a Die representing the result.
\n\nIt's also possible to have \"empty\" dice with no outcomes at all,\nthough these have little use other than being sentinel values.
\n", "bases": "icepool.population.base.Population[+T_co]"}, "icepool.Die.__init__": {"fullname": "icepool.Die.__init__", "modulename": "icepool", "qualname": "Die.__init__", "kind": "function", "doc": "Constructor for a Die.
\n\nDon't confuse this with d():
\n\n\nDie([6]): A Die that always rolls the int 6.d(6): A d6.
\n\nAlso, don't confuse this with Pool():
\n\n\nDie([1, 2, 3, 4, 5, 6]): A d6.Pool([1, 2, 3, 4, 5, 6]): A Pool of six dice that always rolls one\nof each number.
\n\nHere are some different ways of constructing a d6:
\n\n\n- Just import it:
from icepool import d6 \n- Use the
d() function: icepool.d(6) \n- Use a d6 that you already have:
Die(d6) or Die([d6]) \n- Mix a d3 and a d3+3:
Die([d3, d3+3]) \n- Use a dict:
Die({1:1, 2:1, 3:1, 4:1, 5:1, 6:1}) \n- Give the faces as a sequence:
Die([1, 2, 3, 4, 5, 6]) \n
\n\nAll quantities must be non-negative. Outcomes with zero quantity will be\nomitted.
\n\nSeveral methods and functions foward **kwargs to this constructor.\nHowever, these only affect the construction of the returned or yielded\ndice. Any other implicit conversions of arguments or operands to dice\nwill be done with the default keyword arguments.
\n\nEXPERIMENTAL: Use icepool.Again to roll the dice again, usually with\nsome modification. See the Again documentation for details.
\n\nDenominator: For a flat set of outcomes, the denominator is just the\nsum of the corresponding quantities. If the outcomes themselves have\nsecondary denominators, then the overall denominator will be minimized\nwhile preserving the relative weighting of the primary outcomes.
\n\nArguments:
\n\n\n\nRaises:
\n\n\n- ValueError:
None is not a valid outcome for a Die. \n
\n", "signature": "(\toutcomes: Union[Sequence, Mapping[Any, int]],\ttimes: Union[Sequence[int], int] = 1,\t*,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: icepool.typing.Outcome | icepool.population.die.Die | icepool.typing.RerollType | None = None)"}, "icepool.Die.unary_operator": {"fullname": "icepool.Die.unary_operator", "modulename": "icepool", "qualname": "Die.unary_operator", "kind": "function", "doc": "Performs the unary operation on the outcomes.
\n\nThis is used for the standard unary operators\n-, +, abs, ~, round, trunc, floor, ceil\nas well as the additional methods\nzero, bool.
\n\nThis is NOT used for the [] operator; when used directly, this is\ninterpreted as a Mapping operation and returns the count corresponding\nto a given outcome. See marginals() for applying the [] operator to\noutcomes.
\n\nReturns:
\n\n\n A Die representing the result.
\n
\n\nRaises:
\n\n\n- ValueError: If tuples are of mismatched length.
\n
\n", "signature": "(\tself: icepool.population.die.Die[+T_co],\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.binary_operator": {"fullname": "icepool.Die.binary_operator", "modulename": "icepool", "qualname": "Die.binary_operator", "kind": "function", "doc": "Performs the operation on pairs of outcomes.
\n\nBy the time this is called, the other operand has already been\nconverted to a Die.
\n\nIf one side of a binary operator is a tuple and the other is not, the\nbinary operator is applied to each element of the tuple with the\nnon-tuple side. For example, the following are equivalent:
\n\n\n
cartesian_product(d6, d8) * 2\ncartesian_product(d6 * 2, d8 * 2)\n
\n
This is used for the standard binary operators\n+, -, *, /, //, %, **, <<, >>, &, |, ^\nand the standard binary comparators\n<, <=, >=, >, ==, !=, cmp.
\n\n== and != additionally set the truth value of the Die according to\nwhether the dice themselves are the same or not.
\n\nThe @ operator does NOT use this method directly.\nIt rolls the left Die, which must have integer outcomes,\nthen rolls the right Die that many times and sums the outcomes.
\n\nReturns:
\n\n\n A Die representing the result.
\n
\n\nRaises:
\n\n\n- ValueError: If tuples are of mismatched length within one of the\ndice or between the dice.
\n
\n", "signature": "(\tself,\tother: icepool.population.die.Die,\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.keys": {"fullname": "icepool.Die.keys", "modulename": "icepool", "qualname": "Die.keys", "kind": "function", "doc": "The outcomes within the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Die.values": {"fullname": "icepool.Die.values", "modulename": "icepool", "qualname": "Die.values", "kind": "function", "doc": "The quantities within the population in outcome order.
\n", "signature": "(self) -> icepool.collection.counts.CountsValuesView:", "funcdef": "def"}, "icepool.Die.items": {"fullname": "icepool.Die.items", "modulename": "icepool", "qualname": "Die.items", "kind": "function", "doc": "The (outcome, quantity)s of the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsItemsView[+T_co]:", "funcdef": "def"}, "icepool.Die.simplify": {"fullname": "icepool.Die.simplify", "modulename": "icepool", "qualname": "Die.simplify", "kind": "function", "doc": "Divides all quantities by their greatest common denominator.
\n", "signature": "(self) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.reroll": {"fullname": "icepool.Die.reroll", "modulename": "icepool", "qualname": "Die.reroll", "kind": "function", "doc": "Rerolls the given outcomes.
\n\nArguments:
\n\n\n- which: Selects which outcomes to reroll. Options:\n
\n- A collection of outcomes to reroll.
\n- A callable that takes an outcome and returns
True if it\nshould be rerolled. \n- If not provided, the min outcome will be rerolled.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum number of times to reroll.\nIf
None, rerolls an unlimited number of times. \n
\n\nReturns:
\n\n\n A Die representing the reroll.\n If the reroll would never terminate, the result has no outcomes.
\n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None,\tdepth: Union[int, Literal['inf']]) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.filter": {"fullname": "icepool.Die.filter", "modulename": "icepool", "qualname": "Die.filter", "kind": "function", "doc": "Rerolls until getting one of the given outcomes.
\n\nEssentially the complement of reroll().
\n\nArguments:
\n\n\n- which: Selects which outcomes to reroll until. Options:\n
\n- A callable that takes an outcome and returns
True if it\nshould be accepted. \n- A collection of outcomes to reroll until.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum number of times to reroll.\nIf
None, rerolls an unlimited number of times. \n
\n\nReturns:
\n\n\n A Die representing the reroll.\n If the reroll would never terminate, the result has no outcomes.
\n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co]],\t/,\t*,\tstar: bool | None = None,\tdepth: Union[int, Literal['inf']]) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.split": {"fullname": "icepool.Die.split", "modulename": "icepool", "qualname": "Die.split", "kind": "function", "doc": "Splits this die into one containing selected items and another containing the rest.
\n\nThe total denominator is preserved.
\n\nEquivalent to self.filter(), self.reroll().
\n\nArguments:
\n\n\n- which: Selects which outcomes to reroll until. Options:\n
\n- A callable that takes an outcome and returns
True if it\nshould be accepted. \n- A collection of outcomes to reroll until.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None):", "funcdef": "def"}, "icepool.Die.truncate": {"fullname": "icepool.Die.truncate", "modulename": "icepool", "qualname": "Die.truncate", "kind": "function", "doc": "Truncates the outcomes of this Die to the given range.
\n\nThe endpoints are included in the result if applicable.\nIf one of the arguments is not provided, that side will not be truncated.
\n\nThis effectively rerolls outcomes outside the given range.\nIf instead you want to replace those outcomes with the nearest endpoint,\nuse clip().
\n\nNot to be confused with trunc(die), which performs integer truncation\non each outcome.
\n", "signature": "(\tself,\tmin_outcome=None,\tmax_outcome=None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.clip": {"fullname": "icepool.Die.clip", "modulename": "icepool", "qualname": "Die.clip", "kind": "function", "doc": "Clips the outcomes of this Die to the given values.
\n\nThe endpoints are included in the result if applicable.\nIf one of the arguments is not provided, that side will not be clipped.
\n\nThis is not the same as rerolling outcomes beyond this range;\nthe outcome is simply adjusted to fit within the range.\nThis will typically cause some quantity to bunch up at the endpoint(s).\nIf you want to reroll outcomes beyond this range, use truncate().
\n", "signature": "(\tself,\tmin_outcome=None,\tmax_outcome=None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.map": {"fullname": "icepool.Die.map", "modulename": "icepool", "qualname": "Die.map", "kind": "function", "doc": "Maps outcomes of the Die to other outcomes.
\n\nThis is also useful for representing processes.
\n\nAs icepool.map(repl, self, ...).
\n", "signature": "(\tself,\trepl: Union[Callable[..., Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[+T_co, Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\t/,\t*extra_args,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\ttime_limit: Union[int, Literal['inf'], NoneType] = None,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.map_and_time": {"fullname": "icepool.Die.map_and_time", "modulename": "icepool", "qualname": "Die.map_and_time", "kind": "function", "doc": "Repeatedly map outcomes of the state to other outcomes, while also\ncounting timesteps.
\n\nThis is useful for representing processes.
\n\nAs map_and_time(repl, self, ...).
\n", "signature": "(\tself,\trepl: Union[Callable[..., Union[+T_co, icepool.population.die.Die[+T_co], icepool.typing.RerollType]], Mapping[+T_co, Union[+T_co, icepool.population.die.Die[+T_co], icepool.typing.RerollType]]],\t/,\t*extra_args,\tstar: bool | None = None,\ttime_limit: int) -> icepool.population.die.Die[tuple[+T_co, int]]:", "funcdef": "def"}, "icepool.Die.time_to_sum": {"fullname": "icepool.Die.time_to_sum", "modulename": "icepool", "qualname": "Die.time_to_sum", "kind": "function", "doc": "The number of rolls until the cumulative sum is greater or equal to the target.
\n\nArguments:
\n\n\n- target: The number to stop at once reached.
\n- max_time: The maximum number of rolls to run.\nIf the sum is not reached, the outcome is determined by
dnf. \n- dnf: What time to assign in cases where the target was not reached\nin
max_time. If not provided, this is set to max_time.\ndnf=icepool.Reroll will remove this case from the result,\neffectively rerolling it. \n
\n", "signature": "(\tself: icepool.population.die.Die[int],\ttarget: int,\t/,\tmax_time: int,\tdnf: int | icepool.typing.RerollType | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.mean_time_to_sum": {"fullname": "icepool.Die.mean_time_to_sum", "modulename": "icepool", "qualname": "Die.mean_time_to_sum", "kind": "function", "doc": "The mean number of rolls until the cumulative sum is greater or equal to the target.
\n\nArguments:
\n\n\n- target: The target sum.
\n
\n\nRaises:
\n\n\n- ValueError: If
self has negative outcomes. \n- ZeroDivisionError: If
self.mean() == 0. \n
\n", "signature": "(\tself: icepool.population.die.Die[int],\ttarget: int,\t/) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Die.explode": {"fullname": "icepool.Die.explode", "modulename": "icepool", "qualname": "Die.explode", "kind": "function", "doc": "Causes outcomes to be rolled again and added to the total.
\n\nArguments:
\n\n\n- which: Which outcomes to explode. Options:\n
\n- A single outcome to explode.
\n- An collection of outcomes to explode.
\n- A callable that takes an outcome and returns
True if it\nshould be exploded. \n- If not supplied, the max outcome will explode.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum number of additional dice to roll, not counting\nthe initial roll.\nIf not supplied, a default value will be used.
\n- end: Once
depth is reached, further explosions will be treated\nas this value. By default, a zero value will be used.\nicepool.Reroll will make one extra final roll, rerolling until\na non-exploding outcome is reached. \n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None,\tdepth: int = 9,\tend=None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.if_else": {"fullname": "icepool.Die.if_else", "modulename": "icepool", "qualname": "Die.if_else", "kind": "function", "doc": "Ternary conditional operator.
\n\nThis replaces truthy outcomes with the first argument and falsy outcomes\nwith the second argument.
\n\nArguments:
\n\n\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tself,\toutcome_if_true: Union[~U, icepool.population.die.Die[~U]],\toutcome_if_false: Union[~U, icepool.population.die.Die[~U]],\t*,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.is_in": {"fullname": "icepool.Die.is_in", "modulename": "icepool", "qualname": "Die.is_in", "kind": "function", "doc": "A die that returns True iff the roll of the die is contained in the target.
\n", "signature": "(self, target: Container[+T_co], /) -> icepool.population.die.Die[bool]:", "funcdef": "def"}, "icepool.Die.count": {"fullname": "icepool.Die.count", "modulename": "icepool", "qualname": "Die.count", "kind": "function", "doc": "Roll this dice a number of times and count how many are in the target.
\n", "signature": "(\tself,\trolls: int,\ttarget: Container[+T_co],\t/) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.sequence": {"fullname": "icepool.Die.sequence", "modulename": "icepool", "qualname": "Die.sequence", "kind": "function", "doc": "Possible sequences produced by rolling this die a number of times.
\n\nThis is extremely expensive computationally. If possible, use reduce()\ninstead; if you don't care about order, Die.pool() is better.
\n", "signature": "(self, rolls: int) -> icepool.population.die.Die[tuple[+T_co, ...]]:", "funcdef": "def"}, "icepool.Die.pool": {"fullname": "icepool.Die.pool", "modulename": "icepool", "qualname": "Die.pool", "kind": "function", "doc": "Creates a Pool from this Die.
\n\nYou might subscript the pool immediately afterwards, e.g.\nd6.pool(5)[-1, ..., 1] takes the difference between the highest and\nlowest of 5d6.
\n\nArguments:
\n\n\n- rolls: The number of copies of this
Die to put in the pool.\nOr, a sequence of one int per die acting as\nkeep_tuple. Note that ... cannot be used in the\nargument to this method, as the argument determines the size of\nthe pool. \n
\n", "signature": "(\tself,\trolls: Union[int, Sequence[int]] = 1,\t/) -> icepool.generator.pool.Pool[+T_co]:", "funcdef": "def"}, "icepool.Die.keep": {"fullname": "icepool.Die.keep", "modulename": "icepool", "qualname": "Die.keep", "kind": "function", "doc": "Selects elements after drawing and sorting and sums them.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll.
\n- index: One of the following:
\n\n- An
int. This will count only the roll at the specified index. \n
- In this case, the result is a
Die rather than a generator. \n\n- A
slice. The selected dice are counted once each. \n\n
\n- A sequence of
ints with length equal to rolls.\nEach roll is counted that many times, which could be multiple or\nnegative times. \n
\n\nUp to one ... (Ellipsis) may be used. If no ... is used,\nthe rolls argument may be omitted.
\n\n... will be replaced with a number of zero counts in order\n\n
to make up any missing elements compared to rolls.\nThis number may be \"negative\" if more ints are provided than\nrolls. Specifically:
\n\n\n- If
index is shorter than rolls, ...\nacts as enough zero counts to make up the difference.\nE.g. (1, ..., 1) on five dice would act as\n(1, 0, 0, 0, 1). \n- If
index has length equal to rolls, ... has no effect.\nE.g. (1, ..., 1) on two dice would act as (1, 1). \n- If
index is longer than rolls and ... is on one side,\nelements will be dropped from index on the side with ....\nE.g. (..., 1, 2, 3) on two dice would act as (2, 3). \n- If
index is longer than rolls and ...\nis in the middle, the counts will be as the sum of two\none-sided ....\nE.g. (-1, ..., 1) acts like (-1, ...) plus (..., 1).\nIf rolls was 1 this would have the -1 and 1 cancel each other out. \n
\n", "signature": "(\tself,\trolls: Union[int, Sequence[int]],\tindex: Union[slice, Sequence[int | ellipsis], int, NoneType] = None,\t/) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.lowest": {"fullname": "icepool.Die.lowest", "modulename": "icepool", "qualname": "Die.lowest", "kind": "function", "doc": "Roll several of this Die and return the lowest result, or the sum of some of the lowest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll. All dice will have the same\noutcomes as
self. \n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single lowest die will be taken.
\n- If only
keep is provided, the keep lowest dice will be summed. \n- If only
drop is provided, the drop lowest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop lowest dice will be dropped, then\nthe next keep lowest dice will be summed. \n
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.highest": {"fullname": "icepool.Die.highest", "modulename": "icepool", "qualname": "Die.highest", "kind": "function", "doc": "Roll several of this Die and return the highest result, or the sum of some of the highest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll.
\n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single highest die will be taken.
\n- If only
keep is provided, the keep highest dice will be summed. \n- If only
drop is provided, the drop highest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop highest dice will be dropped, then\nthe next keep highest dice will be summed. \n
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.middle": {"fullname": "icepool.Die.middle", "modulename": "icepool", "qualname": "Die.middle", "kind": "function", "doc": "Roll several of this Die and sum the sorted results in the middle.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll.
\n- keep: The number of outcomes to sum. If this is greater than the\ncurrent keep_size, all are kept.
\n- tie: What to do if
keep is odd but the current keep_size\nis even, or vice versa.\n\n- 'error' (default): Raises
IndexError. \n- 'high': The higher outcome is taken.
\n- 'low': The lower outcome is taken.
\n
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int = 1,\t*,\ttie: Literal['error', 'high', 'low'] = 'error') -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.map_to_pool": {"fullname": "icepool.Die.map_to_pool", "modulename": "icepool", "qualname": "Die.map_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Maps outcomes of this Die to Pools, creating a MultisetGenerator.
\n\nAs icepool.map_to_pool(repl, self, ...).
\n\nIf no argument is provided, the outcomes will be used to construct a\nmixture of pools directly, similar to the inverse of pool.expand().\nNote that this is not particularly efficient since it does not make much\nuse of dynamic programming.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a
Pool (or something convertible to such). \n- A mapping from old outcomes to
Pool \n(or something convertible to such).\nIn this case args must have exactly one element.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value icepool.Reroll will reroll that old outcome. \n
\n- star: If
True, the first of the args will be unpacked before \ngiving them to repl.\nIf not provided, it will be guessed based on the signature of \nrepl and the number of arguments. \n- denominator: If provided, the denominator of the result will be this\nvalue. Otherwise it will be the minimum to correctly weight the\npools.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n\nRaises:
\n\n\n- ValueError: If
denominator cannot be made consistent with the \nresulting mixture of pools. \n
\n", "signature": "(\tself,\trepl: Optional[Callable[..., Union[Sequence[Union[icepool.population.die.Die[~U], ~U]], Mapping[icepool.population.die.Die[~U], int], Mapping[~U, int], icepool.typing.RerollType]]] = None,\t/,\t*extra_args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\tdenominator: int | None = None) -> icepool.generator.multiset_generator.MultisetGenerator[~U, tuple[int]]:", "funcdef": "def"}, "icepool.Die.explode_to_pool": {"fullname": "icepool.Die.explode_to_pool", "modulename": "icepool", "qualname": "Die.explode_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Causes outcomes to be rolled again, keeping that outcome as an individual die in a pool.
\n\nArguments:
\n\n\n- rolls: The number of initial dice.
\n- which: Which outcomes to explode. Options:\n
\n- A single outcome to explode.
\n- An collection of outcomes to explode.
\n- A callable that takes an outcome and returns
True if it\nshould be exploded. \n- If not supplied, the max outcome will explode.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum depth of explosions for an individual dice.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n", "signature": "(\tself,\trolls: int,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None,\tdepth: int = 9) -> icepool.generator.multiset_generator.MultisetGenerator[+T_co, tuple[int]]:", "funcdef": "def"}, "icepool.Die.reroll_to_pool": {"fullname": "icepool.Die.reroll_to_pool", "modulename": "icepool", "qualname": "Die.reroll_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Applies a limited number of rerolls shared across a pool.
\n\nEach die can only be rerolled once (effectively depth=1), and no more\nthan max_rerolls dice may be rerolled.
\n\nArguments:
\n\n\n- rolls: How many dice in the pool.
\n- which: Selects which outcomes are eligible to be rerolled. Options:\n
\n- A collection of outcomes to reroll.
\n- A callable that takes an outcome and returns
True if it\ncould be rerolled. \n
\n- max_rerolls: The maximum number of dice to reroll. \nNote that each die can only be rerolled once, so if the number \nof eligible dice is less than this, the excess rerolls have no\neffect.
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- mode: How dice are selected for rerolling if there are more eligible\ndice than
max_rerolls. Options:\n\n'random' (default): Eligible dice will be chosen uniformly\nat random.'lowest': The lowest eligible dice will be rerolled.'highest': The highest eligible dice will be rerolled.'drop': All dice that ended up on an outcome selected by \nwhich will be dropped. This includes both dice that rolled\ninto which initially and were not rerolled, and dice that\nwere rerolled but rolled into which again. This can be\nconsiderably more efficient than the other modes.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n", "signature": "(\tself,\trolls: int,\twhich: Union[Callable[..., bool], Collection[+T_co]],\t/,\tmax_rerolls: int,\t*,\tstar: bool | None = None,\tmode: Literal['random', 'lowest', 'highest', 'drop'] = 'random') -> icepool.generator.multiset_generator.MultisetGenerator[+T_co, tuple[int]]:", "funcdef": "def"}, "icepool.Die.abs": {"fullname": "icepool.Die.abs", "modulename": "icepool", "qualname": "Die.abs", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.round": {"fullname": "icepool.Die.round", "modulename": "icepool", "qualname": "Die.round", "kind": "function", "doc": "\n", "signature": "(self, ndigits: int | None = None) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.stochastic_round": {"fullname": "icepool.Die.stochastic_round", "modulename": "icepool", "qualname": "Die.stochastic_round", "kind": "function", "doc": "Randomly rounds outcomes up or down to the nearest integer according to the two distances.
\n\nSpecificially, rounds x up with probability x - floor(x) and down\notherwise.
\n\nArguments:
\n\n\n- max_denominator: If provided, each rounding will be performed\nusing
fractions.Fraction.limit_denominator(max_denominator).\nOtherwise, the rounding will be performed without\nlimit_denominator. \n
\n", "signature": "(\tself,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.trunc": {"fullname": "icepool.Die.trunc", "modulename": "icepool", "qualname": "Die.trunc", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.floor": {"fullname": "icepool.Die.floor", "modulename": "icepool", "qualname": "Die.floor", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.ceil": {"fullname": "icepool.Die.ceil", "modulename": "icepool", "qualname": "Die.ceil", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.cmp": {"fullname": "icepool.Die.cmp", "modulename": "icepool", "qualname": "Die.cmp", "kind": "function", "doc": "A Die with outcomes 1, -1, and 0.
\n\nThe quantities are equal to the positive outcome of self > other,\nself < other, and the remainder respectively.
\n", "signature": "(self, other) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.sign": {"fullname": "icepool.Die.sign", "modulename": "icepool", "qualname": "Die.sign", "kind": "function", "doc": "Outcomes become 1 if greater than zero(), -1 if less than zero(), and 0 otherwise.
\n\nNote that for floats, +0.0, -0.0, and nan all become 0.
\n", "signature": "(self) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.equals": {"fullname": "icepool.Die.equals", "modulename": "icepool", "qualname": "Die.equals", "kind": "function", "doc": "True iff both dice have the same outcomes and quantities.
\n\nThis is False if other is not a Die, even if it would convert\nto an equal Die.
\n\nTruth value does NOT matter.
\n\nIf one Die has a zero-quantity outcome and the other Die does not\ncontain that outcome, they are treated as unequal by this function.
\n\nThe == and != operators have a dual purpose; they return a Die\nwith a truth value determined by this method.\nOnly dice returned by these methods have a truth value. The data of\nthese dice is lazily evaluated since the caller may only be interested\nin the Die value or the truth value.
\n\nArguments:
\n\n\n- simplify: If
True, the dice will be simplified before comparing.\nOtherwise, e.g. a 2:2 coin is not equals() to a 1:1 coin. \n
\n", "signature": "(self, other, *, simplify: bool = False) -> bool:", "funcdef": "def"}, "icepool.Population": {"fullname": "icepool.Population", "modulename": "icepool", "qualname": "Population", "kind": "class", "doc": "A mapping from outcomes to int quantities.
\n\nOutcomes with each instance must be hashable and totally orderable.
\n\nSubclasses include Die and Deck.
\n", "bases": "abc.ABC, typing.Generic[+T_co], typing.Mapping[typing.Any, int]"}, "icepool.Population.keys": {"fullname": "icepool.Population.keys", "modulename": "icepool", "qualname": "Population.keys", "kind": "function", "doc": "The outcomes within the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Population.values": {"fullname": "icepool.Population.values", "modulename": "icepool", "qualname": "Population.values", "kind": "function", "doc": "The quantities within the population in outcome order.
\n", "signature": "(self) -> icepool.collection.counts.CountsValuesView:", "funcdef": "def"}, "icepool.Population.items": {"fullname": "icepool.Population.items", "modulename": "icepool", "qualname": "Population.items", "kind": "function", "doc": "The (outcome, quantity)s of the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsItemsView[+T_co]:", "funcdef": "def"}, "icepool.Population.outcomes": {"fullname": "icepool.Population.outcomes", "modulename": "icepool", "qualname": "Population.outcomes", "kind": "function", "doc": "The outcomes of the mapping in ascending order.
\n\nThese are also the keys of the mapping.\nPrefer to use the name outcomes.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Population.common_outcome_length": {"fullname": "icepool.Population.common_outcome_length", "modulename": "icepool", "qualname": "Population.common_outcome_length", "kind": "function", "doc": "The common length of all outcomes.
\n\nIf outcomes have no lengths or different lengths, the result is None.
\n", "signature": "(self) -> int | None:", "funcdef": "def"}, "icepool.Population.is_empty": {"fullname": "icepool.Population.is_empty", "modulename": "icepool", "qualname": "Population.is_empty", "kind": "function", "doc": "True iff this population has no outcomes.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.Population.min_outcome": {"fullname": "icepool.Population.min_outcome", "modulename": "icepool", "qualname": "Population.min_outcome", "kind": "function", "doc": "The least outcome.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.max_outcome": {"fullname": "icepool.Population.max_outcome", "modulename": "icepool", "qualname": "Population.max_outcome", "kind": "function", "doc": "The greatest outcome.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.nearest": {"fullname": "icepool.Population.nearest", "modulename": "icepool", "qualname": "Population.nearest", "kind": "function", "doc": "The nearest outcome in this population fitting the comparison.
\n\nArguments:
\n\n\n- comparison: The comparison which the result must fit. For example,\n'<=' would find the greatest outcome that is not greater than\nthe argument.
\n- outcome: The outcome to compare against.
\n
\n\nReturns:
\n\n\n The nearest outcome fitting the comparison, or None if there is\n no such outcome.
\n
\n", "signature": "(\tself,\tcomparison: Literal['<=', '<', '>=', '>'],\toutcome,\t/) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.zero": {"fullname": "icepool.Population.zero", "modulename": "icepool", "qualname": "Population.zero", "kind": "function", "doc": "Zeros all outcomes of this population.
\n\nThis is done by multiplying all outcomes by 0.
\n\nThe result will have the same denominator.
\n\nRaises:
\n\n\n- ValueError: If the zeros did not resolve to a single outcome.
\n
\n", "signature": "(self: ~C) -> ~C:", "funcdef": "def"}, "icepool.Population.zero_outcome": {"fullname": "icepool.Population.zero_outcome", "modulename": "icepool", "qualname": "Population.zero_outcome", "kind": "function", "doc": "A zero-outcome for this population.
\n\nE.g. 0 for a Population whose outcomes are ints.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.quantity": {"fullname": "icepool.Population.quantity", "modulename": "icepool", "qualname": "Population.quantity", "kind": "function", "doc": "The quantity of a single outcome.
\n\nA comparison can be provided, in which case this returns the total\nquantity fitting the comparison.
\n\nArguments:
\n\n\n- comparison: The comparison to use. This can be omitted, in which\ncase it is treated as '=='.
\n- outcome: The outcome to query.
\n
\n", "signature": "(\tself,\tcomparison: Union[Literal['==', '!=', '<=', '<', '>=', '>'], Hashable],\toutcome: Optional[Hashable] = None,\t/) -> int:", "funcdef": "def"}, "icepool.Population.quantities": {"fullname": "icepool.Population.quantities", "modulename": "icepool", "qualname": "Population.quantities", "kind": "function", "doc": "The quantities of the mapping in sorted order.
\n\nFor example, '<=' gives the CDF.
\n\nArguments:
\n\n\n- comparison: Optional. If omitted, this defaults to '=='.
\n
\n", "signature": "(\tself,\tcomparison: Optional[Literal['==', '!=', '<=', '<', '>=', '>']] = None,\t/) -> Union[icepool.collection.counts.CountsValuesView, Sequence[int]]:", "funcdef": "def"}, "icepool.Population.denominator": {"fullname": "icepool.Population.denominator", "modulename": "icepool", "qualname": "Population.denominator", "kind": "function", "doc": "The sum of all quantities (e.g. weights or duplicates).
\n\nFor the number of unique outcomes, use len().
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Population.multiply_quantities": {"fullname": "icepool.Population.multiply_quantities", "modulename": "icepool", "qualname": "Population.multiply_quantities", "kind": "function", "doc": "Multiplies all quantities by an integer.
\n", "signature": "(self: ~C, scale: int, /) -> ~C:", "funcdef": "def"}, "icepool.Population.divide_quantities": {"fullname": "icepool.Population.divide_quantities", "modulename": "icepool", "qualname": "Population.divide_quantities", "kind": "function", "doc": "Divides all quantities by an integer, rounding down.
\n\nResulting zero quantities are dropped.
\n", "signature": "(self: ~C, divisor: int, /) -> ~C:", "funcdef": "def"}, "icepool.Population.modulo_quantities": {"fullname": "icepool.Population.modulo_quantities", "modulename": "icepool", "qualname": "Population.modulo_quantities", "kind": "function", "doc": "Modulus of all quantities with an integer.
\n", "signature": "(self: ~C, divisor: int, /) -> ~C:", "funcdef": "def"}, "icepool.Population.pad_to_denominator": {"fullname": "icepool.Population.pad_to_denominator", "modulename": "icepool", "qualname": "Population.pad_to_denominator", "kind": "function", "doc": "Changes the denominator to a target number by changing the quantity of a specified outcome.
\n\nArguments:
\n\n\ntarget: The denominator of the result.outcome: The outcome whose quantity will be adjusted.
\n\nReturns:
\n\n\n A Population like self but with the quantity of outcome\n adjusted so that the overall denominator is equal to target.\n If the denominator is reduced to zero, it will be removed.
\n
\n\nRaises:
\n\n\nValueError if this would require the quantity of the specified- outcome to be negative.
\n
\n", "signature": "(self: ~C, target: int, /, outcome: Hashable) -> ~C:", "funcdef": "def"}, "icepool.Population.probability": {"fullname": "icepool.Population.probability", "modulename": "icepool", "qualname": "Population.probability", "kind": "function", "doc": "The total probability of outcomes fitting a comparison.
\n", "signature": "(\tself,\tcomparison: Union[Literal['==', '!=', '<=', '<', '>=', '>'], Hashable],\toutcome: Optional[Hashable] = None,\t/,\t*,\tpercent: bool = False) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.probabilities": {"fullname": "icepool.Population.probabilities", "modulename": "icepool", "qualname": "Population.probabilities", "kind": "function", "doc": "The total probabilities fitting the comparison for each outcome in sorted order.
\n\nFor example, '<=' gives the CDF.
\n\nArguments:
\n\n\n- comparison: Optional. If omitted, this defaults to '=='.
\n
\n", "signature": "(\tself,\tcomparison: Optional[Literal['==', '!=', '<=', '<', '>=', '>']] = None,\t/,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.mode": {"fullname": "icepool.Population.mode", "modulename": "icepool", "qualname": "Population.mode", "kind": "function", "doc": "A tuple containing the most common outcome(s) of the population.
\n\nThese are sorted from lowest to highest.
\n", "signature": "(self) -> tuple:", "funcdef": "def"}, "icepool.Population.modal_quantity": {"fullname": "icepool.Population.modal_quantity", "modulename": "icepool", "qualname": "Population.modal_quantity", "kind": "function", "doc": "The highest quantity of any single outcome.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Population.kolmogorov_smirnov": {"fullname": "icepool.Population.kolmogorov_smirnov", "modulename": "icepool", "qualname": "Population.kolmogorov_smirnov", "kind": "function", "doc": "Kolmogorov\u2013Smirnov statistic. The maximum absolute difference between CDFs.
\n", "signature": "(self, other: icepool.population.base.Population) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.cramer_von_mises": {"fullname": "icepool.Population.cramer_von_mises", "modulename": "icepool", "qualname": "Population.cramer_von_mises", "kind": "function", "doc": "Cram\u00e9r-von Mises statistic. The sum-of-squares difference between CDFs.
\n", "signature": "(self, other: icepool.population.base.Population) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.median": {"fullname": "icepool.Population.median", "modulename": "icepool", "qualname": "Population.median", "kind": "function", "doc": "The median, taking the mean in case of a tie.
\n\nThis will fail if the outcomes do not support division;\nin this case, use median_low or median_high instead.
\n", "signature": "(self):", "funcdef": "def"}, "icepool.Population.median_low": {"fullname": "icepool.Population.median_low", "modulename": "icepool", "qualname": "Population.median_low", "kind": "function", "doc": "The median, taking the lower in case of a tie.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.median_high": {"fullname": "icepool.Population.median_high", "modulename": "icepool", "qualname": "Population.median_high", "kind": "function", "doc": "The median, taking the higher in case of a tie.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.quantile": {"fullname": "icepool.Population.quantile", "modulename": "icepool", "qualname": "Population.quantile", "kind": "function", "doc": "The outcome n / d of the way through the CDF, taking the mean in case of a tie.
\n\nThis will fail if the outcomes do not support addition and division;\nin this case, use quantile_low or quantile_high instead.
\n", "signature": "(self, n: int, d: int = 100):", "funcdef": "def"}, "icepool.Population.quantile_low": {"fullname": "icepool.Population.quantile_low", "modulename": "icepool", "qualname": "Population.quantile_low", "kind": "function", "doc": "The outcome n / d of the way through the CDF, taking the lesser in case of a tie.
\n", "signature": "(self, n: int, d: int = 100) -> +T_co:", "funcdef": "def"}, "icepool.Population.quantile_high": {"fullname": "icepool.Population.quantile_high", "modulename": "icepool", "qualname": "Population.quantile_high", "kind": "function", "doc": "The outcome n / d of the way through the CDF, taking the greater in case of a tie.
\n", "signature": "(self, n: int, d: int = 100) -> +T_co:", "funcdef": "def"}, "icepool.Population.mean": {"fullname": "icepool.Population.mean", "modulename": "icepool", "qualname": "Population.mean", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.variance": {"fullname": "icepool.Population.variance", "modulename": "icepool", "qualname": "Population.variance", "kind": "function", "doc": "This is the population variance, not the sample variance.
\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.standard_deviation": {"fullname": "icepool.Population.standard_deviation", "modulename": "icepool", "qualname": "Population.standard_deviation", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.sd": {"fullname": "icepool.Population.sd", "modulename": "icepool", "qualname": "Population.sd", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.standardized_moment": {"fullname": "icepool.Population.standardized_moment", "modulename": "icepool", "qualname": "Population.standardized_moment", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float],\tk: int) -> float:", "funcdef": "def"}, "icepool.Population.skewness": {"fullname": "icepool.Population.skewness", "modulename": "icepool", "qualname": "Population.skewness", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.excess_kurtosis": {"fullname": "icepool.Population.excess_kurtosis", "modulename": "icepool", "qualname": "Population.excess_kurtosis", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.entropy": {"fullname": "icepool.Population.entropy", "modulename": "icepool", "qualname": "Population.entropy", "kind": "function", "doc": "The entropy of a random sample from this population.
\n\nArguments:
\n\n\n- base: The logarithm base to use. Default is 2.0, which gives the \nentropy in bits.
\n
\n", "signature": "(self, base: float = 2.0) -> float:", "funcdef": "def"}, "icepool.Population.marginals": {"fullname": "icepool.Population.marginals", "modulename": "icepool", "qualname": "Population.marginals", "kind": "variable", "doc": "A property that applies the [] operator to outcomes.
\n\nFor example, population.marginals[:2] will marginalize the first two\nelements of sequence outcomes.
\n\nAttributes that do not start with an underscore will also be forwarded.\nFor example, population.marginals.x will marginalize the x attribute\nfrom e.g. namedtuple outcomes.
\n", "annotation": ": icepool.population.base.Population._Marginals[~C]"}, "icepool.Population.covariance": {"fullname": "icepool.Population.covariance", "modulename": "icepool", "qualname": "Population.covariance", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[tuple[numbers.Rational, ...]] | icepool.population.base.Population[tuple[float, ...]],\ti: int,\tj: int) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.correlation": {"fullname": "icepool.Population.correlation", "modulename": "icepool", "qualname": "Population.correlation", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[tuple[numbers.Rational, ...]] | icepool.population.base.Population[tuple[float, ...]],\ti: int,\tj: int) -> float:", "funcdef": "def"}, "icepool.Population.to_one_hot": {"fullname": "icepool.Population.to_one_hot", "modulename": "icepool", "qualname": "Population.to_one_hot", "kind": "function", "doc": "Converts the outcomes of this population to a one-hot representation.
\n\nArguments:
\n\n\n- outcomes: If provided, each outcome will be mapped to a
Vector\nwhere the element at outcomes.index(outcome) is set to True\nand the rest to False, or all False if the outcome is not\nin outcomes.\nIf not provided, self.outcomes() is used. \n
\n", "signature": "(self: ~C, outcomes: Optional[Sequence[+T_co]] = None) -> ~C:", "funcdef": "def"}, "icepool.Population.sample": {"fullname": "icepool.Population.sample", "modulename": "icepool", "qualname": "Population.sample", "kind": "function", "doc": "A single random sample from this population.
\n\nNote that this is always \"with replacement\" even for Deck since\ninstances are immutable.
\n\nThis uses the standard random package and is not cryptographically\nsecure.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.format": {"fullname": "icepool.Population.format", "modulename": "icepool", "qualname": "Population.format", "kind": "function", "doc": "Formats this mapping as a string.
\n\nformat_spec should start with the output format,\nwhich can be:
\n\n\nmd for Markdown (default)bbcode for BBCodecsv for comma-separated valueshtml for HTML
\n\nAfter this, you may optionally add a : followed by a series of\nrequested columns. Allowed columns are:
\n\n\no: Outcomes.*o: Outcomes, unpacked if applicable.q==, q<=, q>=: Quantities ==, <=, or >= each outcome.p==, p<=, p>=: Probabilities (0-1).%==, %<=, %>=: Probabilities (0%-100%).i==, i<=, i>=: EXPERIMENTAL: \"1 in N\".
\n\nColumns may optionally be separated using | characters.
\n\nThe default setting is equal to f'{die:md:*o|q==|%==}'. Here the \ncolumns are the outcomes (unpacked if applicable) the quantities, and \nthe probabilities. The quantities are omitted from the default columns \nif any individual quantity is 10**30 or greater.
\n", "signature": "(self, format_spec: str, /, **kwargs) -> str:", "funcdef": "def"}, "icepool.tupleize": {"fullname": "icepool.tupleize", "modulename": "icepool", "qualname": "tupleize", "kind": "function", "doc": "Returns the Cartesian product of the arguments as tuples or a Population thereof.
\n\nFor example:
\n\n\ntupleize(1, 2) would produce (1, 2).tupleize(d6, 0) would produce a Die with outcomes (1, 0), (2, 0),\n... (6, 0).tupleize(d6, d6) would produce a Die with outcomes (1, 1), (1, 2),\n... (6, 5), (6, 6).
\n\nIf Populations are provided, they must all be Die or all Deck and not\na mixture of the two.
\n\nReturns:
\n\n\n If none of the outcomes is a Population, the result is a tuple\n with one element per argument. Otherwise, the result is a Population\n of the same type as the input Population, and the outcomes are\n tuples with one element per argument.
\n
\n", "signature": "(\t*args: Union[~T, icepool.population.base.Population[~T]]) -> tuple[~T, ...] | icepool.population.base.Population[tuple[~T, ...]]:", "funcdef": "def"}, "icepool.vectorize": {"fullname": "icepool.vectorize", "modulename": "icepool", "qualname": "vectorize", "kind": "function", "doc": "Returns the Cartesian product of the arguments as Vectors or a Population thereof.
\n\nFor example:
\n\n\nvectorize(1, 2) would produce Vector(1, 2).vectorize(d6, 0) would produce a Die with outcomes Vector(1, 0),\nVector(2, 0), ... Vector(6, 0).vectorize(d6, d6) would produce a Die with outcomes Vector(1, 1),\nVector(1, 2), ... Vector(6, 5), Vector(6, 6).
\n\nIf Populations are provided, they must all be Die or all Deck and not\na mixture of the two.
\n\nReturns:
\n\n\n If none of the outcomes is a Population, the result is a Vector\n with one element per argument. Otherwise, the result is a Population\n of the same type as the input Population, and the outcomes are\n Vectors with one element per argument.
\n
\n", "signature": "(\t*args: Union[~T, icepool.population.base.Population[~T]]) -> Union[icepool.collection.vector.Vector[~T], icepool.population.base.Population[icepool.collection.vector.Vector[~T]]]:", "funcdef": "def"}, "icepool.Vector": {"fullname": "icepool.Vector", "modulename": "icepool", "qualname": "Vector", "kind": "class", "doc": "Immutable tuple-like class that applies most operators elementwise.
\n\nMay become a variadic generic type in the future.
\n", "bases": "icepool.typing.Outcome, typing.Sequence[+T_co]"}, "icepool.Vector.unary_operator": {"fullname": "icepool.Vector.unary_operator", "modulename": "icepool", "qualname": "Vector.unary_operator", "kind": "function", "doc": "Unary operators on Vector are applied elementwise.
\n\nThis is used for the standard unary operators\n-, +, abs, ~, round, trunc, floor, ceil
\n", "signature": "(\tself,\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.collection.vector.Vector[~U]:", "funcdef": "def"}, "icepool.Vector.abs": {"fullname": "icepool.Vector.abs", "modulename": "icepool", "qualname": "Vector.abs", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector[+T_co]:", "funcdef": "def"}, "icepool.Vector.round": {"fullname": "icepool.Vector.round", "modulename": "icepool", "qualname": "Vector.round", "kind": "function", "doc": "\n", "signature": "(self, ndigits: int | None = None) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.trunc": {"fullname": "icepool.Vector.trunc", "modulename": "icepool", "qualname": "Vector.trunc", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.floor": {"fullname": "icepool.Vector.floor", "modulename": "icepool", "qualname": "Vector.floor", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.ceil": {"fullname": "icepool.Vector.ceil", "modulename": "icepool", "qualname": "Vector.ceil", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.binary_operator": {"fullname": "icepool.Vector.binary_operator", "modulename": "icepool", "qualname": "Vector.binary_operator", "kind": "function", "doc": "Binary operators on Vector are applied elementwise.
\n\nIf the other operand is also a Vector, the operator is applied to each\npair of elements from self and other. Both must have the same\nlength.
\n\nOtherwise the other operand is broadcast to each element of self.
\n\nThis is used for the standard binary operators\n+, -, *, /, //, %, **, <<, >>, &, |, ^.
\n\n@ is not included due to its different meaning in Die.
\n\nThis is also used for the comparators\n<, <=, >, >=, ==, !=.
\n\nIn this case, the result also has a truth value based on lexicographic\nordering.
\n", "signature": "(\tself,\tother,\top: Callable[..., ~U],\t*args,\tcompare_for_truth: bool = False,\t**kwargs) -> icepool.collection.vector.Vector[~U]:", "funcdef": "def"}, "icepool.Vector.reverse_binary_operator": {"fullname": "icepool.Vector.reverse_binary_operator", "modulename": "icepool", "qualname": "Vector.reverse_binary_operator", "kind": "function", "doc": "Reverse version of binary_operator().
\n", "signature": "(\tself,\tother,\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.collection.vector.Vector[~U]:", "funcdef": "def"}, "icepool.Vector.append": {"fullname": "icepool.Vector.append", "modulename": "icepool", "qualname": "Vector.append", "kind": "function", "doc": "\n", "signature": "(self, other) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.concatenate": {"fullname": "icepool.Vector.concatenate", "modulename": "icepool", "qualname": "Vector.concatenate", "kind": "function", "doc": "\n", "signature": "(self, other: Iterable) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Symbols": {"fullname": "icepool.Symbols", "modulename": "icepool", "qualname": "Symbols", "kind": "class", "doc": "EXPERIMENTAL: Immutable multiset of single characters.
\n\nSpaces, dashes, and underscores cannot be used as symbols.
\n\nOperations include:
\n\n\n\n\n | Operation | \n Count / notes | \n
\n\n\n\n additive_union, + | \n l + r | \n
\n\n difference, - | \n l - r | \n
\n\n intersection, & | \n min(l, r) | \n
\n\n union, | | \n max(l, r) | \n
\n\n symmetric_difference, ^ | \n abs(l - r) | \n
\n\n multiply_counts, * | \n count * n | \n
\n\n divide_counts, // | \n count // n | \n
\n\n issubset, <= | \n all counts l <= r | \n
\n\n issuperset, >= | \n all counts l >= r | \n
\n\n == | \n all counts l == r | \n
\n\n != | \n any count l != r | \n
\n\n unary + | \n drop all negative counts | \n
\n\n unary - | \n reverses the sign of all counts | \n
\n\n
\n\n< and > are lexicographic orderings rather than subset relations.\nSpecifically, they compare the count of each character in alphabetical\norder. For example:
\n\n\n'a' > '' since one 'a' is more than zero 'a's.'a' > 'bb' since 'a' is compared first.'-a' < 'bb' since the left side has -1 'a's.'a' < 'ab' since the 'a's are equal but the right side has more 'b's.
\n\nBinary operators other than * and // implicitly convert the other\nargument to Symbols using the constructor.
\n\nSubscripting with a single character returns the count of that character\nas an int. E.g. symbols['a'] -> number of as as an int.\nYou can also access it as an attribute, e.g. symbols.a.
\n\nSubscripting with multiple characters returns a Symbols with only those\ncharacters, dropping the rest.\nE.g. symbols['ab'] -> number of as and bs as a Symbols.\nAgain you can also access it as an attribute, e.g. symbols.ab.\nThis is useful for reducing the outcome space, which reduces computational\ncost for further operations. If you want to keep only a single character\nwhile keeping the type as Symbols, you can subscript with that character\nplus an unused character.
\n\nSubscripting with duplicate characters currently has no further effect, but\nthis may change in the future.
\n\nPopulation.marginals forwards attribute access, so you can use e.g.\ndie.marginals.a to get the marginal distribution of as.
\n\nNote that attribute access only works with valid identifiers,\nso e.g. emojis would need to use the subscript method.
\n", "bases": "typing.Mapping[str, int]"}, "icepool.Symbols.__init__": {"fullname": "icepool.Symbols.__init__", "modulename": "icepool", "qualname": "Symbols.__init__", "kind": "function", "doc": "Constructor.
\n\nThe argument can be a string, an iterable of characters, or a mapping of\ncharacters to counts.
\n\nIf the argument is a string, negative symbols can be specified using a\nminus sign optionally surrounded by whitespace. For example,\na - b has one positive a and one negative b.
\n", "signature": "(symbols: Union[str, Iterable[str], Mapping[str, int]])"}, "icepool.Symbols.additive_union": {"fullname": "icepool.Symbols.additive_union", "modulename": "icepool", "qualname": "Symbols.additive_union", "kind": "function", "doc": "The sum of counts of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.difference": {"fullname": "icepool.Symbols.difference", "modulename": "icepool", "qualname": "Symbols.difference", "kind": "function", "doc": "The difference between the counts of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.intersection": {"fullname": "icepool.Symbols.intersection", "modulename": "icepool", "qualname": "Symbols.intersection", "kind": "function", "doc": "The min count of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.union": {"fullname": "icepool.Symbols.union", "modulename": "icepool", "qualname": "Symbols.union", "kind": "function", "doc": "The max count of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.symmetric_difference": {"fullname": "icepool.Symbols.symmetric_difference", "modulename": "icepool", "qualname": "Symbols.symmetric_difference", "kind": "function", "doc": "The absolute difference in symbol counts between the two sets.
\n", "signature": "(\tself,\tother: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.multiply_counts": {"fullname": "icepool.Symbols.multiply_counts", "modulename": "icepool", "qualname": "Symbols.multiply_counts", "kind": "function", "doc": "Multiplies all counts by an integer.
\n", "signature": "(self, other: int) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.divide_counts": {"fullname": "icepool.Symbols.divide_counts", "modulename": "icepool", "qualname": "Symbols.divide_counts", "kind": "function", "doc": "Divides all counts by an integer, rounding down.
\n", "signature": "(self, other: int) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.count_subset": {"fullname": "icepool.Symbols.count_subset", "modulename": "icepool", "qualname": "Symbols.count_subset", "kind": "function", "doc": "The number of times the divisor is contained in this multiset.
\n", "signature": "(\tself,\tdivisor: Union[Iterable[str], Mapping[str, int]],\t*,\tempty_divisor: int | None = None) -> int:", "funcdef": "def"}, "icepool.Symbols.modulo_counts": {"fullname": "icepool.Symbols.modulo_counts", "modulename": "icepool", "qualname": "Symbols.modulo_counts", "kind": "function", "doc": "\n", "signature": "(self, other: int) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.issubset": {"fullname": "icepool.Symbols.issubset", "modulename": "icepool", "qualname": "Symbols.issubset", "kind": "function", "doc": "Whether self is a subset of the other.
\n\nSame as <=.
\n\nNote that the < and > operators are lexicographic orderings,\nnot proper subset relations.
\n", "signature": "(self, other: Union[Iterable[str], Mapping[str, int]]) -> bool:", "funcdef": "def"}, "icepool.Symbols.issuperset": {"fullname": "icepool.Symbols.issuperset", "modulename": "icepool", "qualname": "Symbols.issuperset", "kind": "function", "doc": "Whether self is a superset of the other.
\n\nSame as >=.
\n\nNote that the < and > operators are lexicographic orderings,\nnot proper subset relations.
\n", "signature": "(self, other: Union[Iterable[str], Mapping[str, int]]) -> bool:", "funcdef": "def"}, "icepool.Symbols.isdisjoint": {"fullname": "icepool.Symbols.isdisjoint", "modulename": "icepool", "qualname": "Symbols.isdisjoint", "kind": "function", "doc": "Whether self has any positive elements in common with the other.
\n\nRaises:
\n\n\n- ValueError if either has negative elements.
\n
\n", "signature": "(self, other: Union[Iterable[str], Mapping[str, int]]) -> bool:", "funcdef": "def"}, "icepool.Symbols.has_negative_counts": {"fullname": "icepool.Symbols.has_negative_counts", "modulename": "icepool", "qualname": "Symbols.has_negative_counts", "kind": "function", "doc": "Whether any counts are negative.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.Symbols.count": {"fullname": "icepool.Symbols.count", "modulename": "icepool", "qualname": "Symbols.count", "kind": "function", "doc": "The total number of elements.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Again": {"fullname": "icepool.Again", "modulename": "icepool", "qualname": "Again", "kind": "variable", "doc": "A symbol indicating that the die should be rolled again, usually with some operation applied.
\n\nThis is designed to be used with the Die() constructor.\nAgainExpressions should not be fed to functions or methods other than\nDie(), but it can be used with operators. Examples:
\n\n\nAgain + 6: Roll again and add 6.Again + Again: Roll again twice and sum.
\n\nThe again_count, again_depth, and again_end arguments to Die()\naffect how these arguments are processed. At most one of again_count or\nagain_depth may be provided; if neither are provided, the behavior is as\n`again_depth=1.
\n\nFor finer control over rolling processes, use e.g. Die.map() instead.
\n\nCount mode
\n\nWhen again_count is provided, we start with one roll queued and execute one \nroll at a time. For every Again we roll, we queue another roll.\nIf we run out of rolls, we sum the rolls to find the result. If the total number\nof rolls (not including the initial roll) would exceed again_count, we reroll\nthe entire process, effectively conditioning the process on not rolling more\nthan again_count extra dice.
\n\nThis mode only allows \"additive\" expressions to be used with Again, which\nmeans that only the following operators are allowed:
\n\n\n- Binary
+ \nn @ AgainExpression, where n is a non-negative int or Population.
\n\nFurthermore, the + operator is assumed to be associative and commutative.\nFor example, str or tuple outcomes will not produce elements with a definite\norder.
\n\nDepth mode
\n\nWhen again_depth=0, again_end is directly substituted\nfor each occurence of Again. For other values of again_depth, the result for\nagain_depth-1 is substituted for each occurence of Again.
\n\nIf again_end=icepool.Reroll, then any AgainExpressions in the final depth\nare rerolled.
\n\nRerolls
\n\nReroll only rerolls that particular die, not the entire process. Any such\nrerolls do not count against the again_count or again_depth limit.
\n\nIf again_end=icepool.Reroll:
\n\n\n- Count mode: Any result that would cause the number of rolls to exceed\n
again_count is rerolled. \n- Depth mode: Any
AgainExpressions in the final depth level are rerolled. \n
\n", "annotation": ": Final", "default_value": "<icepool.population.again.AgainExpression object>"}, "icepool.CountsKeysView": {"fullname": "icepool.CountsKeysView", "modulename": "icepool", "qualname": "CountsKeysView", "kind": "class", "doc": "This functions as both a KeysView and a Sequence.
\n", "bases": "typing.KeysView[~T], typing.Sequence[~T]"}, "icepool.CountsKeysView.__init__": {"fullname": "icepool.CountsKeysView.__init__", "modulename": "icepool", "qualname": "CountsKeysView.__init__", "kind": "function", "doc": "\n", "signature": "(counts: icepool.collection.counts.Counts[~T])"}, "icepool.CountsValuesView": {"fullname": "icepool.CountsValuesView", "modulename": "icepool", "qualname": "CountsValuesView", "kind": "class", "doc": "This functions as both a ValuesView and a Sequence.
\n", "bases": "typing.ValuesView[int], typing.Sequence[int]"}, "icepool.CountsValuesView.__init__": {"fullname": "icepool.CountsValuesView.__init__", "modulename": "icepool", "qualname": "CountsValuesView.__init__", "kind": "function", "doc": "\n", "signature": "(counts: icepool.collection.counts.Counts)"}, "icepool.CountsItemsView": {"fullname": "icepool.CountsItemsView", "modulename": "icepool", "qualname": "CountsItemsView", "kind": "class", "doc": "This functions as both an ItemsView and a Sequence.
\n", "bases": "typing.ItemsView[~T, int], typing.Sequence[tuple[~T, int]]"}, "icepool.CountsItemsView.__init__": {"fullname": "icepool.CountsItemsView.__init__", "modulename": "icepool", "qualname": "CountsItemsView.__init__", "kind": "function", "doc": "\n", "signature": "(counts: icepool.collection.counts.Counts)"}, "icepool.from_cumulative": {"fullname": "icepool.from_cumulative", "modulename": "icepool", "qualname": "from_cumulative", "kind": "function", "doc": "Constructs a Die from a sequence of cumulative values.
\n\nArguments:
\n\n\n- outcomes: The outcomes of the resulting die. Sorted order is recommended\nbut not necessary.
\n- cumulative: The cumulative values (inclusive) of the outcomes in the\norder they are given to this function. These may be:\n
\nint cumulative quantities.- Dice representing the cumulative distribution at that point.
\n
\n- reverse: Iff true, both of the arguments will be reversed. This allows\ne.g. constructing using a survival distribution.
\n
\n", "signature": "(\toutcomes: Sequence[~T],\tcumulative: Union[Sequence[int], Sequence[icepool.population.die.Die[bool]]],\t*,\treverse: bool = False) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.from_rv": {"fullname": "icepool.from_rv", "modulename": "icepool", "qualname": "from_rv", "kind": "function", "doc": "Constructs a Die from a rv object (as scipy.stats).
\n\nThis is done using the CDF.
\n\nArguments:
\n\n\n- rv: A rv object (as
scipy.stats). \n- outcomes: An iterable of
ints or floats that will be the outcomes\nof the resulting Die.\nIf the distribution is discrete, outcomes must be ints.\nSome outcomes may be omitted if their probability is too small\ncompared to the denominator. \n- denominator: The denominator of the resulting
Die will be set to this. \n- **kwargs: These will be forwarded to
rv.cdf(). \n
\n", "signature": "(\trv,\toutcomes: Union[Sequence[int], Sequence[float]],\tdenominator: int,\t**kwargs) -> icepool.population.die.Die[int] | icepool.population.die.Die[float]:", "funcdef": "def"}, "icepool.pointwise_max": {"fullname": "icepool.pointwise_max", "modulename": "icepool", "qualname": "pointwise_max", "kind": "function", "doc": "Selects the highest chance of rolling >= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling >= to that \noutcome is the same as the highest chance of rolling >= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the highest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get >= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.pointwise_min": {"fullname": "icepool.pointwise_min", "modulename": "icepool", "qualname": "pointwise_min", "kind": "function", "doc": "Selects the highest chance of rolling <= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling <= to that \noutcome is the same as the highest chance of rolling <= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the lowest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get <= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.lowest": {"fullname": "icepool.lowest", "modulename": "icepool", "qualname": "lowest", "kind": "function", "doc": "The lowest outcome among the rolls, or the sum of some of the lowest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- args: Dice or individual outcomes in a single iterable, or as two or\nmore separate arguments. Similar to the built-in
min(). \n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single lowest die will be taken.
\n- If only
keep is provided, the keep lowest dice will be summed. \n- If only
drop is provided, the drop lowest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop lowest dice will be dropped, then\nthe next keep lowest dice will be summed. \n
\n- default: If an empty iterable is provided, the result will be a die that\nalways rolls this value.
\n
\n\nRaises:
\n\n\n- ValueError if an empty iterable is provided with no
default. \n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int | None = None,\tdrop: int | None = None,\tdefault: Optional[~T] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.highest": {"fullname": "icepool.highest", "modulename": "icepool", "qualname": "highest", "kind": "function", "doc": "The highest outcome among the rolls, or the sum of some of the highest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- args: Dice or individual outcomes in a single iterable, or as two or\nmore separate arguments. Similar to the built-in
max(). \n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single highest die will be taken.
\n- If only
keep is provided, the keep highest dice will be summed. \n- If only
drop is provided, the drop highest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop highest dice will be dropped, then\nthe next keep highest dice will be summed. \n
\n- drop: This number of highest dice will be dropped before keeping dice\nto be summed.
\n- default: If an empty iterable is provided, the result will be a die that\nalways rolls this value.
\n
\n\nRaises:
\n\n\n- ValueError if an empty iterable is provided with no
default. \n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int | None = None,\tdrop: int | None = None,\tdefault: Optional[~T] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.middle": {"fullname": "icepool.middle", "modulename": "icepool", "qualname": "middle", "kind": "function", "doc": "The middle of the outcomes among the rolls, or the sum of some of the middle.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- args: Dice or individual outcomes in a single iterable, or as two or\nmore separate arguments.
\n- keep: The number of outcomes to sum.
\n- tie: What to do if
keep is odd but the the number of args is even, or\nvice versa.\n\n- 'error' (default): Raises
IndexError. \n- 'high': The higher outcome is taken.
\n- 'low': The lower outcome is taken.
\n
\n- default: If an empty iterable is provided, the result will be a die that\nalways rolls this value.
\n
\n\nRaises:
\n\n\n- ValueError if an empty iterable is provided with no
default. \n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int = 1,\ttie: Literal['error', 'high', 'low'] = 'error',\tdefault: Optional[~T] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.min_outcome": {"fullname": "icepool.min_outcome", "modulename": "icepool", "qualname": "min_outcome", "kind": "function", "doc": "The minimum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.max_outcome": {"fullname": "icepool.max_outcome", "modulename": "icepool", "qualname": "max_outcome", "kind": "function", "doc": "The maximum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.consecutive": {"fullname": "icepool.consecutive", "modulename": "icepool", "qualname": "consecutive", "kind": "function", "doc": "A minimal sequence of consecutive ints covering the argument sets.
\n", "signature": "(*args: Iterable[int]) -> Sequence[int]:", "funcdef": "def"}, "icepool.sorted_union": {"fullname": "icepool.sorted_union", "modulename": "icepool", "qualname": "sorted_union", "kind": "function", "doc": "Merge sets into a sorted sequence.
\n", "signature": "(*args: Iterable[~T]) -> tuple[~T, ...]:", "funcdef": "def"}, "icepool.commonize_denominator": {"fullname": "icepool.commonize_denominator", "modulename": "icepool", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the quantities of the dice so that all of them have the same denominator.
\n\nThe denominator is the LCM of the denominators of the arguments.
\n\nArguments:
\n\n\n- *dice: Any number of dice or single outcomes convertible to dice.
\n
\n\nReturns:
\n\n\n A tuple of dice with the same denominator.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.reduce": {"fullname": "icepool.reduce", "modulename": "icepool", "qualname": "reduce", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice.
\n\nAnalogous to the\nfunctools function of the same name.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice, and produce an outcome\nof the same type. It may also return
Reroll, in which case the\nentire sequence is effectively rerolled. \n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.accumulate": {"fullname": "icepool.accumulate", "modulename": "icepool", "qualname": "accumulate", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice, yielding each result in turn.
\n\nAnalogous to the\nitertools function of the same name\n, though with no default function and\nthe same parameter order as reduce().
\n\nThe number of results is equal to the number of elements of dice, with\none additional element if initial is provided.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice.
\n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T]]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> Iterator[icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.map": {"fullname": "icepool.map", "modulename": "icepool", "qualname": "map", "kind": "function", "doc": "Applies func(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, returning a Die.
\n\nSee map_function for a decorator version of this.
\n\nExample: map(lambda a, b: a + b, d6, d6) is the same as d6 + d6.
\n\nmap() is flexible but not very efficient for more than a few dice.\nIf at all possible, use reduce(), MultisetExpression methods, and/or\nMultisetEvaluators. Even Pool.expand() (which sorts rolls) is more\nefficient than using map on the dice in order.
\n\nAgain can be used but is not recommended with repeat other than 1.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a new outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nIn this case args must have exactly one element.\nAs with the
Die constructor, the new outcomes: \n- May be dice rather than just single outcomes.
\n- The special value
icepool.Reroll will reroll that old outcome. \ntuples containing Populations will be tupleized into\nPopulations of tuples.\nThis does not apply to subclasses of tuples such as namedtuple\nor other classes such as Vector.
\n- *args:
func will be called with all joint outcomes of these.\nAllowed arg types are:\n\n- Single outcome.
\nDie. All outcomes will be sent to func.MultisetExpression. All sorted tuples of outcomes will be sent\nto func, as MultisetExpression.expand(). The expression must\nbe fully bound.
\n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \nrepeat: This will be repeated with the same arguments on the\nresult this many times, except the first of args will be replaced\nby the result of the previous iteration.
\n\nNote that returning Reroll from repl will effectively reroll all\narguments, including the first argument which represents the result\nof the process up to this point. If you only want to reroll the\ncurrent stage, you can nest another map inside repl.
\n\nEXPERIMENTAL: If set to 'inf', the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- time_limit: Similar to
repeat, but will return early if a fixed point\nis reached. If both repeat and time_limit are provided\n(not recommended), time_limit takes priority. \n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\ttime_limit: Union[int, Literal['inf'], NoneType] = None,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.map_function": {"fullname": "icepool.map_function", "modulename": "icepool", "qualname": "map_function", "kind": "function", "doc": "Decorator that turns a function that takes outcomes into a function that takes dice.
\n\nThe result must be a Die.
\n\nThis is basically a decorator version of map() and produces behavior\nsimilar to AnyDice functions, though Icepool has different typing rules\namong other differences.
\n\nmap_function can either be used with no arguments:
\n\n\n
@map_function\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6, again_depth=2)\n
\n
Or with keyword arguments, in which case the extra arguments are bound:
\n\n\n
@map_function(again_depth=2)\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6)\n
\n
Arguments:
\n\n\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> Union[Callable[..., icepool.population.die.Die[~T]], Callable[..., Callable[..., icepool.population.die.Die[~T]]]]:", "funcdef": "def"}, "icepool.map_and_time": {"fullname": "icepool.map_and_time", "modulename": "icepool", "qualname": "map_and_time", "kind": "function", "doc": "Repeatedly map outcomes of the state to other outcomes, while also\ncounting timesteps.
\n\nThis is useful for representing processes.
\n\nThe outcomes of the result are (outcome, time), where time is the\nnumber of repeats needed to reach an absorbing outcome (an outcome that\nonly leads to itself), or repeat, whichever is lesser.
\n\nThis will return early if it reaches a fixed point.\nTherefore, you can set repeat equal to the maximum number of\ntime you could possibly be interested in without worrying about\nit causing extra computations after the fixed point.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable returning a new outcome for each old outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\n- initial_state: The initial state of the process, which could be a\nsingle state or a
Die. \n- extra_args: Extra arguments to use, as per
map. Note that these are\nrerolled at every time step. \n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \n- time_limit: This will be repeated with the same arguments on the result\nup to this many times.
\n
\n\nReturns:
\n\n\n The Die after the modification.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\tinitial_state: Union[~T, icepool.population.die.Die[~T]],\t/,\t*extra_args,\tstar: bool | None = None,\ttime_limit: int) -> icepool.population.die.Die[tuple[~T, int]]:", "funcdef": "def"}, "icepool.map_to_pool": {"fullname": "icepool.map_to_pool", "modulename": "icepool", "qualname": "map_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Applies repl(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, producing a MultisetGenerator.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a
MultisetGenerator or something convertible to a Pool. \n- A mapping from old outcomes to
MultisetGenerator \nor something convertible to a Pool.\nIn this case args must have exactly one element.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value icepool.Reroll will reroll that old outcome. \n
\n- star: If
True, the first of the args will be unpacked before giving\nthem to repl.\nIf not provided, it will be guessed based on the signature of repl\nand the number of arguments. \n- denominator: If provided, the denominator of the result will be this\nvalue. Otherwise it will be the minimum to correctly weight the\npools.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n\nRaises:
\n\n\n- ValueError: If
denominator cannot be made consistent with the \nresulting mixture of pools. \n
\n", "signature": "(\trepl: Union[Callable[..., Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]], Mapping[Any, Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\tdenominator: int | None = None) -> icepool.generator.multiset_generator.MultisetGenerator[~T, tuple[int]]:", "funcdef": "def"}, "icepool.Reroll": {"fullname": "icepool.Reroll", "modulename": "icepool", "qualname": "Reroll", "kind": "variable", "doc": "Indicates that an outcome should be rerolled (with unlimited depth).
\n\nThis can be used in place of outcomes in many places. See individual function\nand method descriptions for details.
\n\nThis effectively removes the outcome from the probability space, along with its\ncontribution to the denominator.
\n\nThis can be used for conditional probability by removing all outcomes not\nconsistent with the given observations.
\n\nOperation in specific cases:
\n\n\n- When used with
Again, only that stage is rerolled, not the entire Again\ntree. \n- To reroll with limited depth, use
Die.reroll(), or Again with no\nmodification. \n- When used with
MultisetEvaluator, the entire evaluation is rerolled. \n
\n", "annotation": ": Final", "default_value": "<RerollType.Reroll: 'Reroll'>"}, "icepool.RerollType": {"fullname": "icepool.RerollType", "modulename": "icepool", "qualname": "RerollType", "kind": "class", "doc": "The type of the Reroll singleton.
\n", "bases": "enum.Enum"}, "icepool.RerollType.Reroll": {"fullname": "icepool.RerollType.Reroll", "modulename": "icepool", "qualname": "RerollType.Reroll", "kind": "variable", "doc": "Indicates an outcome should be rerolled (with unlimited depth).
\n", "default_value": "<RerollType.Reroll: 'Reroll'>"}, "icepool.Pool": {"fullname": "icepool.Pool", "modulename": "icepool", "qualname": "Pool", "kind": "class", "doc": "Represents a multiset of outcomes resulting from the roll of several dice.
\n\nThis should be used in conjunction with MultisetEvaluator to generate a\nresult.
\n\nNote that operators are performed on the multiset of rolls, not the multiset\nof dice. For example, d6.pool(3) - d6.pool(3) is not an empty pool, but\nan expression meaning \"roll two pools of 3d6 and get the rolls from the\nfirst pool, with rolls in the second pool cancelling matching rolls in the\nfirst pool one-for-one\".
\n", "bases": "icepool.generator.keep.KeepGenerator[~T]"}, "icepool.Pool.__init__": {"fullname": "icepool.Pool.__init__", "modulename": "icepool", "qualname": "Pool.__init__", "kind": "function", "doc": "Public constructor for a pool.
\n\nEvaulation is most efficient when the dice are the same or same-side\ntruncations of each other. For example, d4, d6, d8, d10, d12 are all\nsame-side truncations of d12.
\n\nIt is permissible to create a Pool without providing dice, but not all\nevaluators will handle this case, especially if they depend on the\noutcome type. Dice may be in the pool zero times, in which case their\noutcomes will be considered but without any count (unless another die\nhas that outcome).
\n\nArguments:
\n\n\n\nRaises:
\n\n\n- ValueError: If a bare
Deck or Die argument is provided.\nA Pool of a single Die should constructed as Pool([die]). \n
\n", "signature": "(\tdice: Union[Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], Mapping[Union[icepool.population.die.Die[~T], ~T], int]],\ttimes: Union[Sequence[int], int] = 1)"}, "icepool.Pool.clear_cache": {"fullname": "icepool.Pool.clear_cache", "modulename": "icepool", "qualname": "Pool.clear_cache", "kind": "function", "doc": "Clears the global pool cache.
\n", "signature": "(cls):", "funcdef": "def"}, "icepool.Pool.raw_size": {"fullname": "icepool.Pool.raw_size", "modulename": "icepool", "qualname": "Pool.raw_size", "kind": "function", "doc": "The number of dice in this pool before the keep_tuple is applied.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Pool.denominator": {"fullname": "icepool.Pool.denominator", "modulename": "icepool", "qualname": "Pool.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Pool.unique_dice": {"fullname": "icepool.Pool.unique_dice", "modulename": "icepool", "qualname": "Pool.unique_dice", "kind": "function", "doc": "The collection of unique dice in this pool.
\n", "signature": "(self) -> Collection[icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.Pool.outcomes": {"fullname": "icepool.Pool.outcomes", "modulename": "icepool", "qualname": "Pool.outcomes", "kind": "function", "doc": "The union of possible outcomes among all dice in this pool in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.Pool.output_arity": {"fullname": "icepool.Pool.output_arity", "modulename": "icepool", "qualname": "Pool.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Pool.local_order_preference": {"fullname": "icepool.Pool.local_order_preference", "modulename": "icepool", "qualname": "Pool.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.Pool.min_outcome": {"fullname": "icepool.Pool.min_outcome", "modulename": "icepool", "qualname": "Pool.min_outcome", "kind": "function", "doc": "The min outcome among all dice in this pool.
\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.Pool.max_outcome": {"fullname": "icepool.Pool.max_outcome", "modulename": "icepool", "qualname": "Pool.max_outcome", "kind": "function", "doc": "The max outcome among all dice in this pool.
\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.Pool.additive_union": {"fullname": "icepool.Pool.additive_union", "modulename": "icepool", "qualname": "Pool.additive_union", "kind": "function", "doc": "The combined elements from all of the multisets.
\n\nSame as a + b + c + ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] + [1, 2, 4] -> [1, 1, 2, 2, 2, 3, 4]\n
\n
A Pool of standard dice (e.g. d6, d8...).
\n\nArguments:
\n\n\n- die_sizes: A collection of die sizes, which will put one die of that\nsizes in the pool for each element.\nOr, a mapping of die sizes to how many dice of that size to put\ninto the pool.\nIf empty, the pool will be considered to consist of zero zeros.
\n
\n", "signature": "(\tdie_sizes: Union[Collection[int], Mapping[int, int]]) -> icepool.generator.pool.Pool[int]:", "funcdef": "def"}, "icepool.MultisetGenerator": {"fullname": "icepool.MultisetGenerator", "modulename": "icepool", "qualname": "MultisetGenerator", "kind": "class", "doc": "Abstract base class for generating one or more multisets.
\n\nThese include dice pools (Pool) and card deals (Deal). Most likely you\nwill be using one of these two rather than writing your own subclass of\nMultisetGenerator.
\n\nThe multisets are incrementally generated one outcome at a time.\nFor each outcome, a count and weight are generated, along with a\nsmaller generator to produce the rest of the multiset.
\n\nYou can perform simple evaluations using built-in operators and methods in\nthis class.\nFor more complex evaluations and better performance, particularly when\nmultiple generators are involved, you will want to write your own subclass\nof MultisetEvaluator.
\n", "bases": "typing.Generic[~T, ~Qs], icepool.multiset_expression.MultisetExpression[~T]"}, "icepool.MultisetGenerator.has_free_variables": {"fullname": "icepool.MultisetGenerator.has_free_variables", "modulename": "icepool", "qualname": "MultisetGenerator.has_free_variables", "kind": "function", "doc": "Whether this expression contains any free variables, i.e. parameters to a @multiset_function.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.MultisetExpression": {"fullname": "icepool.MultisetExpression", "modulename": "icepool", "qualname": "MultisetExpression", "kind": "class", "doc": "Abstract base class representing an expression that operates on multisets.
\n\nThere are three types of multiset expressions:
\n\n\nMultisetGenerator, which produce raw outcomes and counts.MultisetOperator, which takes outcomes with one or more counts and\nproduces a count.MultisetVariable, which is a temporary placeholder for some other \nexpression.
\n\nExpression methods can be applied to MultisetGenerators to do simple\nevaluations. For joint evaluations, try multiset_function.
\n\nUse the provided operations to build up more complicated\nexpressions, or to attach a final evaluator.
\n\nOperations include:
\n\n\n\n\n | Operation | \n Count / notes | \n
\n\n\n\n additive_union, + | \n l + r | \n
\n\n difference, - | \n l - r | \n
\n\n intersection, & | \n min(l, r) | \n
\n\n union, | | \n max(l, r) | \n
\n\n symmetric_difference, ^ | \n abs(l - r) | \n
\n\n multiply_counts, * | \n count * n | \n
\n\n divide_counts, // | \n count // n | \n
\n\n modulo_counts, % | \n count % n | \n
\n\n keep_counts | \n count if count >= n else 0 etc. | \n
\n\n unary + | \n same as keep_counts_ge(0) | \n
\n\n unary - | \n reverses the sign of all counts | \n
\n\n unique | \n min(count, n) | \n
\n\n keep_outcomes | \n count if outcome in t else 0 | \n
\n\n drop_outcomes | \n count if outcome not in t else 0 | \n
\n\n map_counts | \n f(outcome, *counts) | \n
\n\n keep, [] | \n less capable than KeepGenerator version | \n
\n\n highest | \n less capable than KeepGenerator version | \n
\n\n lowest | \n less capable than KeepGenerator version | \n
\n\n
\n\n\n\n\n | Evaluator | \n Summary | \n
\n\n\n\n issubset, <= | \n Whether the left side's counts are all <= their counterparts on the right | \n
\n\n issuperset, >= | \n Whether the left side's counts are all >= their counterparts on the right | \n
\n\n isdisjoint | \n Whether the left side has no positive counts in common with the right side | \n
\n\n < | \n As <=, but False if the two multisets are equal | \n
\n\n > | \n As >=, but False if the two multisets are equal | \n
\n\n == | \n Whether the left side has all the same counts as the right side | \n
\n\n != | \n Whether the left side has any different counts to the right side | \n
\n\n expand | \n All elements in ascending order | \n
\n\n sum | \n Sum of all elements | \n
\n\n count | \n The number of elements | \n
\n\n any | \n Whether there is at least 1 element | \n
\n\n highest_outcome_and_count | \n The highest outcome and how many of that outcome | \n
\n\n all_counts | \n All counts in descending order | \n
\n\n largest_count | \n The single largest count, aka x-of-a-kind | \n
\n\n largest_count_and_outcome | \n Same but also with the corresponding outcome | \n
\n\n count_subset, // | \n The number of times the right side is contained in the left side | \n
\n\n largest_straight | \n Length of longest consecutive sequence | \n
\n\n largest_straight_and_outcome | \n Same but also with the corresponding outcome | \n
\n\n all_straights | \n Lengths of all consecutive sequences in descending order | \n
\n\n
\n", "bases": "abc.ABC, typing.Generic[~T]"}, "icepool.MultisetExpression.outcomes": {"fullname": "icepool.MultisetExpression.outcomes", "modulename": "icepool", "qualname": "MultisetExpression.outcomes", "kind": "function", "doc": "The possible outcomes that could be generated, in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.output_arity": {"fullname": "icepool.MultisetExpression.output_arity", "modulename": "icepool", "qualname": "MultisetExpression.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetExpression.local_order_preference": {"fullname": "icepool.MultisetExpression.local_order_preference", "modulename": "icepool", "qualname": "MultisetExpression.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.MultisetExpression.has_free_variables": {"fullname": "icepool.MultisetExpression.has_free_variables", "modulename": "icepool", "qualname": "MultisetExpression.has_free_variables", "kind": "function", "doc": "Whether this expression contains any free variables, i.e. parameters to a @multiset_function.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.MultisetExpression.denominator": {"fullname": "icepool.MultisetExpression.denominator", "modulename": "icepool", "qualname": "MultisetExpression.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetExpression.min_outcome": {"fullname": "icepool.MultisetExpression.min_outcome", "modulename": "icepool", "qualname": "MultisetExpression.min_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetExpression.max_outcome": {"fullname": "icepool.MultisetExpression.max_outcome", "modulename": "icepool", "qualname": "MultisetExpression.max_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetExpression.equals": {"fullname": "icepool.MultisetExpression.equals", "modulename": "icepool", "qualname": "MultisetExpression.equals", "kind": "function", "doc": "Whether this expression is logically equal to another object.
\n", "signature": "(self, other) -> bool:", "funcdef": "def"}, "icepool.MultisetExpression.order_preference": {"fullname": "icepool.MultisetExpression.order_preference", "modulename": "icepool", "qualname": "MultisetExpression.order_preference", "kind": "function", "doc": "\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.MultisetExpression.sample": {"fullname": "icepool.MultisetExpression.sample", "modulename": "icepool", "qualname": "MultisetExpression.sample", "kind": "function", "doc": "EXPERIMENTAL: A single random sample from this generator.
\n\nThis uses the standard random package and is not cryptographically\nsecure.
\n\nReturns:
\n\n\n A sorted tuple of outcomes for each output of this generator.
\n
\n", "signature": "(self) -> tuple[tuple, ...]:", "funcdef": "def"}, "icepool.MultisetExpression.additive_union": {"fullname": "icepool.MultisetExpression.additive_union", "modulename": "icepool", "qualname": "MultisetExpression.additive_union", "kind": "function", "doc": "The combined elements from all of the multisets.
\n\nSame as a + b + c + ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] + [1, 2, 4] -> [1, 1, 2, 2, 2, 3, 4]\n
\n
The elements from the left multiset that are not in any of the others.
\n\nSame as a - b - c - ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] - [1, 2, 4] -> [2, 3]\n
\n
If no arguments are given, the result will be an empty multiset, i.e.\nall zero counts.
\n\nNote that, as a multiset operation, this will only cancel elements 1:1.\nIf you want to drop all elements in a set of outcomes regardless of\ncount, either use drop_outcomes() instead, or use a large number of\ncounts on the right side.
\n", "signature": "(\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.intersection": {"fullname": "icepool.MultisetExpression.intersection", "modulename": "icepool", "qualname": "MultisetExpression.intersection", "kind": "function", "doc": "The elements that all the multisets have in common.
\n\nSame as a & b & c & ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] & [1, 2, 4] -> [1, 2]\n
\n
Note that, as a multiset operation, this will only intersect elements\n1:1.\nIf you want to keep all elements in a set of outcomes regardless of\ncount, either use keep_outcomes() instead, or use a large number of\ncounts on the right side.
\n", "signature": "(\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.union": {"fullname": "icepool.MultisetExpression.union", "modulename": "icepool", "qualname": "MultisetExpression.union", "kind": "function", "doc": "The most of each outcome that appear in any of the multisets.
\n\nSame as a | b | c | ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] | [1, 2, 4] -> [1, 2, 2, 3, 4]\n
\n
The elements that appear in the left or right multiset but not both.
\n\nSame as a ^ b.
\n\nSpecifically, this produces the absolute difference between counts.\nIf you don't want negative counts to be used from the inputs, you can\ndo +left ^ +right.
\n\nExample:
\n\n\n
[1, 2, 2, 3] ^ [1, 2, 4] -> [2, 3, 4]\n
\n
Keeps the elements in the target set of outcomes, and drops the rest by setting their counts to zero.
\n\nThis is similar to intersection(), except the right side is considered\nto have unlimited multiplicity.
\n\nArguments:
\n\n\n- target: A callable returning
True iff the outcome should be kept,\nor an expression or collection of outcomes to keep. \n
\n", "signature": "(\tself,\ttarget: Union[Callable[[~T], bool], Collection[~T], icepool.multiset_expression.MultisetExpression[~T]],\t/) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.drop_outcomes": {"fullname": "icepool.MultisetExpression.drop_outcomes", "modulename": "icepool", "qualname": "MultisetExpression.drop_outcomes", "kind": "function", "doc": "Drops the elements in the target set of outcomes by setting their counts to zero, and keeps the rest.
\n\nThis is similar to difference(), except the right side is considered\nto have unlimited multiplicity.
\n\nArguments:
\n\n\n- target: A callable returning
True iff the outcome should be\ndropped, or an expression or collection of outcomes to drop. \n
\n", "signature": "(\tself,\ttarget: Union[Callable[[~T], bool], Collection[~T], icepool.multiset_expression.MultisetExpression[~T]],\t/) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.map_counts": {"fullname": "icepool.MultisetExpression.map_counts", "modulename": "icepool", "qualname": "MultisetExpression.map_counts", "kind": "function", "doc": "Maps the counts to new counts.
\n\nArguments:
\n\n\n- function: A function that takes
outcome, *counts and produces a\ncombined count. \n
\n", "signature": "(\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\tfunction: Callable[..., int]) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.multiply_counts": {"fullname": "icepool.MultisetExpression.multiply_counts", "modulename": "icepool", "qualname": "MultisetExpression.multiply_counts", "kind": "function", "doc": "Multiplies all counts by n.
\n\nSame as self * n.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]) * 2 -> [1, 1, 2, 2, 2, 2, 3, 3]\n
\n
Divides all counts by n (rounding down).
\n\nSame as self // n.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]) // 2 -> [2]\n
\n
Moduos all counts by n.
\n\nSame as self % n.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]) % 2 -> [1, 3]\n
\n
Keeps counts fitting the comparison, treating the rest as zero.
\n\nFor example, expression.keep_counts('>=', 2) would keep pairs,\ntriplets, etc. and drop singles.
\n\n\n
Pool([1, 2, 2, 3, 3, 3]).keep_counts('>=', 2) -> [2, 2, 3, 3, 3]\n
\n
Arguments:
\n\n\n- comparison: The comparison to use.
\n- n: The number to compare counts against.
\n
\n", "signature": "(\tself,\tcomparison: Literal['==', '!=', '<=', '<', '>=', '>'],\tn: int,\t/) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.unique": {"fullname": "icepool.MultisetExpression.unique", "modulename": "icepool", "qualname": "MultisetExpression.unique", "kind": "function", "doc": "Counts each outcome at most n times.
\n\nFor example, generator.unique(2) would count each outcome at most\ntwice.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]).unique() -> [1, 2, 3]\n
\n
Selects elements after drawing and sorting.
\n\nThis is less capable than the KeepGenerator version.\nIn particular, it does not know how many elements it is selecting from,\nso it must be anchored at the starting end. The advantage is that it\ncan be applied to any expression.
\n\nThe valid types of argument are:
\n\n\n- A
slice. If both start and stop are provided, they must both be\nnon-negative or both be negative. step is not supported. \n- A sequence of
int with ... (Ellipsis) at exactly one end.\nEach sorted element will be counted that many times, with the\nEllipsis treated as enough zeros (possibly \"negative\") to\nfill the rest of the elements. \n- An
int, which evaluates by taking the element at the specified\nindex. In this case the result is a Die (if fully bound) or a\nMultisetEvaluator (if there are free variables). \n
\n\nNegative incoming counts are treated as zero counts.
\n\nUse the [] operator for the same effect as this method.
\n", "signature": "(\tself,\tindex: Union[slice, Sequence[int | ellipsis], int]) -> Union[icepool.multiset_expression.MultisetExpression[~T], icepool.population.die.Die[~T], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, ~T]]:", "funcdef": "def"}, "icepool.MultisetExpression.lowest": {"fullname": "icepool.MultisetExpression.lowest", "modulename": "icepool", "qualname": "MultisetExpression.lowest", "kind": "function", "doc": "Keep some of the lowest elements from this multiset and drop the rest.
\n\nIn contrast to the die and free function versions, this does not\nautomatically sum the dice. Use .sum() afterwards if you want to sum.\nAlternatively, you can perform some other evaluation.
\n\nThis requires the outcomes to be evaluated in ascending order.
\n\nArguments:
\n\n\n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single lowest element\nwill be kept.
\n- If only
keep is provided, the keep lowest elements\nwill be kept. \n- If only
drop is provided, the drop lowest elements\nwill be dropped and the rest will be kept. \n- If both are provided,
drop lowest elements will be dropped,\nthen the next keep lowest elements will be kept. \n
\n
\n", "signature": "(\tself,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.highest": {"fullname": "icepool.MultisetExpression.highest", "modulename": "icepool", "qualname": "MultisetExpression.highest", "kind": "function", "doc": "Keep some of the highest elements from this multiset and drop the rest.
\n\nIn contrast to the die and free function versions, this does not\nautomatically sum the dice. Use .sum() afterwards if you want to sum.\nAlternatively, you can perform some other evaluation.
\n\nThis requires the outcomes to be evaluated in descending order.
\n\nArguments:
\n\n\n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single highest element\nwill be kept.
\n- If only
keep is provided, the keep highest elements\nwill be kept. \n- If only
drop is provided, the drop highest elements\nwill be dropped and the rest will be kept. \n- If both are provided,
drop highest elements will be dropped, \nthen the next keep highest elements will be kept. \n
\n
\n", "signature": "(\tself,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.sort_match": {"fullname": "icepool.MultisetExpression.sort_match", "modulename": "icepool", "qualname": "MultisetExpression.sort_match", "kind": "function", "doc": "EXPERIMENTAL: Matches elements of self with elements of other in sorted order, then keeps elements from self that fit comparison with their partner.
\n\nExtra elements: If self has more elements than other, whether the\nextra elements are kept depends on the order and comparison:
\n\n\n- Descending: kept for
'>=', '>' \n- Ascending: kept for
'<=', '<' \n
\n\nExample: An attacker rolls 3d6 versus a defender's 2d6 in the game of\nRISK. Which pairs did the attacker win?
\n\n\n
d6.pool(3).highest(2).sort_match('>', d6.pool(2))\n
\n
Suppose the attacker rolled 6, 4, 3 and the defender 5, 5.\nIn this case the 4 would be blocked since the attacker lost that pair,\nleaving the attacker's 6 and 3. If you don't want to keep the extra\nelement, you can use highest.
\n\n\n
Pool([6, 4, 3]).sort_match('>', [5, 5]) -> [6, 3]\nPool([6, 4, 3]).highest(2).sort_match('>', [5, 5]) -> [6]\n
\n
Contrast maximum_match(), which first creates the maximum number of\npairs that fit the comparison, not necessarily in sorted order.\nIn the above example, maximum_match() would allow the defender to\nassign their 5s to block both the 4 and the 3.
\n\nNegative incoming counts are treated as zero counts.
\n\nArguments:
\n\n\n- comparison: The comparison to filter by. If you want to drop rather\nthan keep, use the complementary comparison:\n
\n'==' vs. '!=''<=' vs. '>''>=' vs. '<'
\n- other: The other multiset to match elements with.
\n- order: The order in which to sort before forming matches.\nDefault is descending.
\n
\n", "signature": "(\tself,\tcomparison: Literal['==', '!=', '<=', '<', '>=', '>'],\tother: icepool.multiset_expression.MultisetExpression[~T],\t/,\torder: icepool.order.Order = <Order.Descending: -1>) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.maximum_match_highest": {"fullname": "icepool.MultisetExpression.maximum_match_highest", "modulename": "icepool", "qualname": "MultisetExpression.maximum_match_highest", "kind": "function", "doc": "EXPERIMENTAL: Match the highest elements from self with even higher (or equal) elements from other.
\n\nThis matches elements of self with elements of other, such that in\neach pair the element from self fits the comparision with the\nelement from other. As many such pairs of elements will be matched as \npossible, preferring the highest matchable elements of self.\nFinally, either the matched or unmatched elements from self are kept.
\n\nThis requires that outcomes be evaluated in descending order.
\n\nExample: An attacker rolls a pool of 4d6 and a defender rolls a pool of \n3d6. Defender dice can be used to block attacker dice of equal or lesser\nvalue, and the defender prefers to block the highest attacker dice\npossible. Which attacker dice were not blocked?
\n\n\n
d6.pool(4).maximum_match('<=', d6.pool(3), keep='unmatched').sum()\n
\n
Suppose the attacker rolls 6, 4, 3, 1 and the defender rolls 5, 5.\nThen the result would be [6, 1].
\n\n\n
d6.pool([6, 4, 3, 1]).maximum_match('<=', [5, 5], keep='unmatched')\n-> [6, 1]\n
\n
Contrast sort_match(), which first creates pairs in\nsorted order and then filters them by comparison.\nIn the above example, sort_matched would force the defender to match\nagainst the 5 and the 4, which would only allow them to block the 4.
\n\nNegative incoming counts are treated as zero counts.
\n\nArguments:
\n\n\n- comparison: Either
'<=' or '<'. \n- other: The other multiset to match elements with.
\n- keep: Whether 'matched' or 'unmatched' elements are to be kept.
\n
\n", "signature": "(\tself,\tcomparison: Literal['<=', '<'],\tother: icepool.multiset_expression.MultisetExpression[~T],\t/,\t*,\tkeep: Literal['matched', 'unmatched']) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.maximum_match_lowest": {"fullname": "icepool.MultisetExpression.maximum_match_lowest", "modulename": "icepool", "qualname": "MultisetExpression.maximum_match_lowest", "kind": "function", "doc": "EXPERIMENTAL: Match the lowest elements from self with even lower (or equal) elements from other.
\n\nThis matches elements of self with elements of other, such that in\neach pair the element from self fits the comparision with the\nelement from other. As many such pairs of elements will be matched as \npossible, preferring the lowest matchable elements of self.\nFinally, either the matched or unmatched elements from self are kept.
\n\nThis requires that outcomes be evaluated in ascending order.
\n\nContrast sort_match(), which first creates pairs in\nsorted order and then filters them by comparison.
\n\nArguments:
\n\n\n- comparison: Either
'>=' or '>'. \n- other: The other multiset to match elements with.
\n- keep: Whether 'matched' or 'unmatched' elements are to be kept.
\n
\n", "signature": "(\tself,\tcomparison: Literal['>=', '>'],\tother: icepool.multiset_expression.MultisetExpression[~T],\t/,\t*,\tkeep: Literal['matched', 'unmatched']) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.expand": {"fullname": "icepool.MultisetExpression.expand", "modulename": "icepool", "qualname": "MultisetExpression.expand", "kind": "function", "doc": "Evaluation: All elements of the multiset in ascending order.
\n\nThis is expensive and not recommended unless there are few possibilities.
\n\nArguments:
\n\n\n- order: Whether the elements are in ascending (default) or descending\norder.
\n
\n", "signature": "(\tself,\torder: icepool.order.Order = <Order.Ascending: 1>) -> Union[icepool.population.die.Die[tuple[~T, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[~T, ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.sum": {"fullname": "icepool.MultisetExpression.sum", "modulename": "icepool", "qualname": "MultisetExpression.sum", "kind": "function", "doc": "Evaluation: The sum of all elements.
\n", "signature": "(\tself,\tmap: Union[Callable[[~T], ~U], Mapping[~T, ~U], NoneType] = None) -> Union[icepool.population.die.Die[~U], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, ~U]]:", "funcdef": "def"}, "icepool.MultisetExpression.count": {"fullname": "icepool.MultisetExpression.count", "modulename": "icepool", "qualname": "MultisetExpression.count", "kind": "function", "doc": "Evaluation: The total number of elements in the multiset.
\n\nThis is usually not very interesting unless some other operation is\nperformed first. Examples:
\n\ngenerator.unique().count() will count the number of unique outcomes.
\n\n(generator & [4, 5, 6]).count() will count up to one each of\n4, 5, and 6.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.any": {"fullname": "icepool.MultisetExpression.any", "modulename": "icepool", "qualname": "MultisetExpression.any", "kind": "function", "doc": "Evaluation: Whether the multiset has at least one positive count.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.highest_outcome_and_count": {"fullname": "icepool.MultisetExpression.highest_outcome_and_count", "modulename": "icepool", "qualname": "MultisetExpression.highest_outcome_and_count", "kind": "function", "doc": "Evaluation: The highest outcome with positive count, along with that count.
\n\nIf no outcomes have positive count, the min outcome will be returned with 0 count.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[tuple[~T, int]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[~T, int]]]:", "funcdef": "def"}, "icepool.MultisetExpression.all_counts": {"fullname": "icepool.MultisetExpression.all_counts", "modulename": "icepool", "qualname": "MultisetExpression.all_counts", "kind": "function", "doc": "Evaluation: Sorted tuple of all counts, i.e. the sizes of all matching sets.
\n\nThe sizes are in descending order.
\n\nArguments:
\n\n\nfilter: Any counts below this value will not be in the output.\nFor example, filter=2 will only produce pairs and better.\nIf None, no filtering will be done.
\n\nWhy not just place keep_counts_ge() before this?\nkeep_counts_ge() operates by setting counts to zero, so you\nwould still need an argument to specify whether you want to\noutput zero counts. So we might as well use the argument to do\nboth.
\n", "signature": "(\tself,\tfilter: Union[int, Literal['all']] = 1) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[int, ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_count": {"fullname": "icepool.MultisetExpression.largest_count", "modulename": "icepool", "qualname": "MultisetExpression.largest_count", "kind": "function", "doc": "Evaluation: The size of the largest matching set among the elements.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_count_and_outcome": {"fullname": "icepool.MultisetExpression.largest_count_and_outcome", "modulename": "icepool", "qualname": "MultisetExpression.largest_count_and_outcome", "kind": "function", "doc": "Evaluation: The largest matching set among the elements and the corresponding outcome.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[tuple[int, ~T]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[int, ~T]]]:", "funcdef": "def"}, "icepool.MultisetExpression.count_subset": {"fullname": "icepool.MultisetExpression.count_subset", "modulename": "icepool", "qualname": "MultisetExpression.count_subset", "kind": "function", "doc": "Evaluation: The number of times the divisor is contained in this multiset.
\n\nArguments:
\n\n\n- divisor: The multiset to divide by.
\n- empty_divisor: If the divisor is empty, the outcome will be this.\nIf not set,
ZeroDivisionError will be raised for an empty\nright side. \n
\n\nRaises:
\n\n\n- ZeroDivisionError: If the divisor may be empty and \nempty_divisor_outcome is not set.
\n
\n", "signature": "(\tself,\tdivisor: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/,\t*,\tempty_divisor: int | None = None) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_straight": {"fullname": "icepool.MultisetExpression.largest_straight", "modulename": "icepool", "qualname": "MultisetExpression.largest_straight", "kind": "function", "doc": "Evaluation: The size of the largest straight among the elements.
\n\nOutcomes must be ints.
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int]) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_straight_and_outcome": {"fullname": "icepool.MultisetExpression.largest_straight_and_outcome", "modulename": "icepool", "qualname": "MultisetExpression.largest_straight_and_outcome", "kind": "function", "doc": "Evaluation: The size of the largest straight among the elements and the lowest or highest outcome in that straight.
\n\nStraight size is prioritized first, then the outcome.
\n\nOutcomes must be ints.
\n\nArguments:
\n\n\n- priority: Controls which outcome within the straight is returned,\nand which straight is picked if there is a tie for largest\nstraight.
\n
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int],\tpriority: Literal['low', 'high'] = 'high',\t/) -> Union[icepool.population.die.Die[tuple[int, int]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, int]]]:", "funcdef": "def"}, "icepool.MultisetExpression.all_straights": {"fullname": "icepool.MultisetExpression.all_straights", "modulename": "icepool", "qualname": "MultisetExpression.all_straights", "kind": "function", "doc": "Evaluation: The sizes of all straights.
\n\nThe sizes are in descending order.
\n\nEach element can only contribute to one straight, though duplicate\nelements can produces straights that overlap in outcomes. In this case,\nelements are preferentially assigned to the longer straight.
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int]) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.all_straights_reduce_counts": {"fullname": "icepool.MultisetExpression.all_straights_reduce_counts", "modulename": "icepool", "qualname": "MultisetExpression.all_straights_reduce_counts", "kind": "function", "doc": "Experimental: All straights with a reduce operation on the counts.
\n\nThis can be used to evaluate e.g. cribbage-style straight counting.
\n\nThe result is a tuple of (run_length, run_score)s.
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int],\treducer: Callable[[int, int], int] = <built-in function mul>) -> Union[icepool.population.die.Die[tuple[tuple[int, int], ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[tuple[int, int], ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.argsort": {"fullname": "icepool.MultisetExpression.argsort", "modulename": "icepool", "qualname": "MultisetExpression.argsort", "kind": "function", "doc": "Experimental: Returns the indexes of the originating multisets for each rank in their additive union.
\n\nExample:
\n\n\n
MultisetExpression.argsort([10, 9, 5], [9, 9])\n
\n
produces
\n\n\n
((0,), (0, 1, 1), (0,))\n
\n
Arguments:
\n\n\n- self, *args: The multiset expressions to be evaluated.
\n- order: Which order the ranks are to be emitted. Default is descending.
\n- limit: How many ranks to emit. Default will emit all ranks, which\nmakes the length of each outcome equal to\n
additive_union(+self, +arg1, +arg2, ...).unique().count() \n
\n", "signature": "(\tself: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\torder: icepool.order.Order = <Order.Descending: -1>,\tlimit: int | None = None):", "funcdef": "def"}, "icepool.MultisetExpression.issubset": {"fullname": "icepool.MultisetExpression.issubset", "modulename": "icepool", "qualname": "MultisetExpression.issubset", "kind": "function", "doc": "Evaluation: Whether this multiset is a subset of the other multiset.
\n\nSpecifically, if this multiset has a lesser or equal count for each\noutcome than the other multiset, this evaluates to True; \nif there is some outcome for which this multiset has a greater count \nthan the other multiset, this evaluates to False.
\n\nissubset is the same as self <= other.
\n\nself < other evaluates a proper subset relation, which is the same\nexcept the result is False if the two multisets are exactly equal.
\n", "signature": "(\tself,\tother: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.issuperset": {"fullname": "icepool.MultisetExpression.issuperset", "modulename": "icepool", "qualname": "MultisetExpression.issuperset", "kind": "function", "doc": "Evaluation: Whether this multiset is a superset of the other multiset.
\n\nSpecifically, if this multiset has a greater or equal count for each\noutcome than the other multiset, this evaluates to True; \nif there is some outcome for which this multiset has a lesser count \nthan the other multiset, this evaluates to False.
\n\nA typical use of this evaluation is testing for the presence of a\ncombo of cards in a hand, e.g.
\n\n\n
deck.deal(5) >= ['a', 'a', 'b']\n
\n
represents the chance that a deal of 5 cards contains at least two 'a's\nand one 'b'.
\n\nissuperset is the same as self >= other.
\n\nself > other evaluates a proper superset relation, which is the same\nexcept the result is False if the two multisets are exactly equal.
\n", "signature": "(\tself,\tother: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.isdisjoint": {"fullname": "icepool.MultisetExpression.isdisjoint", "modulename": "icepool", "qualname": "MultisetExpression.isdisjoint", "kind": "function", "doc": "Evaluation: Whether this multiset is disjoint from the other multiset.
\n\nSpecifically, this evaluates to False if there is any outcome for\nwhich both multisets have positive count, and True if there is not.
\n\nNegative incoming counts are treated as zero counts.
\n", "signature": "(\tself,\tother: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetEvaluator": {"fullname": "icepool.MultisetEvaluator", "modulename": "icepool", "qualname": "MultisetEvaluator", "kind": "class", "doc": "An abstract, immutable, callable class for evaulating one or more input MultisetExpressions.
\n\nThere is one abstract method to implement: next_state().\nThis should incrementally calculate the result given one outcome at a time\nalong with how many of that outcome were produced.
\n\nAn example sequence of calls, as far as next_state() is concerned, is:
\n\n\nstate = next_state(state=None, outcome=1, count_of_1s)state = next_state(state, 2, count_of_2s)state = next_state(state, 3, count_of_3s)state = next_state(state, 4, count_of_4s)state = next_state(state, 5, count_of_5s)state = next_state(state, 6, count_of_6s)outcome = final_outcome(state)
\n\nA few other methods can optionally be overridden to further customize behavior.
\n\nIt is not expected that subclasses of MultisetEvaluator\nbe able to handle arbitrary types or numbers of inputs.\nIndeed, most are expected to handle only a fixed number of inputs,\nand often even only inputs with a particular outcome type.
\n\nInstances cache all intermediate state distributions.\nYou should therefore reuse instances when possible.
\n\nInstances should not be modified after construction\nin any way that affects the return values of these methods.\nOtherwise, values in the cache may be incorrect.
\n", "bases": "abc.ABC, typing.Generic[~T, +U_co]"}, "icepool.MultisetEvaluator.next_state": {"fullname": "icepool.MultisetEvaluator.next_state", "modulename": "icepool", "qualname": "MultisetEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the count of that outcome produced by each input.
\n\nevaluate() will always call this using only positional arguments.\nFurthermore, there is no expectation that a subclass be able to handle\nan arbitrary number of counts. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *counts with a fixed set\nof parameters.
\n\nMake sure to handle the base case where state is None.
\n\nStates must be hashable. At current, they do not have to be orderable.\nHowever, this may change in the future, and if they are not totally\norderable, you must override final_outcome to create totally orderable\nfinal outcomes.
\n\nBy default, this method may receive outcomes in any order:
\n\n\n- If you want to guarantee ascending or descending order, you can \nimplement
next_state_ascending() or next_state_descending() \ninstead. \n- Alternatively, implement
next_state() and override order() to\nreturn the necessary order. This is useful if the necessary order\ndepends on the instance. \n- If you want to handle either order, but have a different \nimplementation for each, override both
next_state_ascending() and \nnext_state_descending(). \n
\n\nThe behavior of returning a Die from next_state is currently\nundefined.
\n\nArguments:
\n\n\n- state: A hashable object indicating the state before rolling the\ncurrent outcome. If this is the first outcome being considered,\n
state will be None. \n- outcome: The current outcome.\n
next_state will see all rolled outcomes in monotonic order;\neither ascending or descending depending on order().\nIf there are multiple inputs, the set of outcomes is at \nleast the union of the outcomes of the invididual inputs. \nYou can use extra_outcomes() to add extra outcomes. \n- *counts: One value (usually an
int) for each input indicating how\nmany of the current outcome were produced. \n
\n\nReturns:
\n\n\n A hashable object indicating the next state.\n The special value icepool.Reroll can be used to immediately remove\n the state from consideration, effectively performing a full reroll.
\n
\n", "signature": "(self, state: Hashable, outcome: ~T, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.next_state_ascending": {"fullname": "icepool.MultisetEvaluator.next_state_ascending", "modulename": "icepool", "qualname": "MultisetEvaluator.next_state_ascending", "kind": "function", "doc": "As next_state() but handles outcomes in ascending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state: Hashable, outcome: ~T, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.next_state_descending": {"fullname": "icepool.MultisetEvaluator.next_state_descending", "modulename": "icepool", "qualname": "MultisetEvaluator.next_state_descending", "kind": "function", "doc": "As next_state() but handles outcomes in descending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state: Hashable, outcome: ~T, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.final_outcome": {"fullname": "icepool.MultisetEvaluator.final_outcome", "modulename": "icepool", "qualname": "MultisetEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(\tself,\tfinal_state: Hashable,\t/) -> Union[+U_co, icepool.population.die.Die[+U_co], icepool.typing.RerollType]:", "funcdef": "def"}, "icepool.MultisetEvaluator.order": {"fullname": "icepool.MultisetEvaluator.order", "modulename": "icepool", "qualname": "MultisetEvaluator.order", "kind": "function", "doc": "Optional method that specifies what outcome orderings this evaluator supports.
\n\nBy default, this is determined by which of next_state(), \nnext_state_ascending(), and next_state_descending() are\noverridden.
\n\nThis is most often overridden by subclasses whose iteration order is\ndetermined on a per-instance basis.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if outcomes are to be seen in ascending order.\n In this case either
next_state() or next_state_ascending()\n are implemented. \n - Order.Descending (= -1)\n if outcomes are to be seen in descending order.\n In this case either
next_state() or next_state_descending()\n are implemented. \n - Order.Any (= 0)\n if outcomes can be seen in any order.\n In this case either
next_state() or both\n next_state_ascending() and next_state_descending()\n are implemented. \n
\n
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.MultisetEvaluator.extra_outcomes": {"fullname": "icepool.MultisetEvaluator.extra_outcomes", "modulename": "icepool", "qualname": "MultisetEvaluator.extra_outcomes", "kind": "function", "doc": "Optional method to specify extra outcomes that should be seen as inputs to next_state().
\n\nThese will be seen by next_state even if they do not appear in the\ninput(s). The default implementation returns (), or no additional\noutcomes.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nextra_outcomes = icepool.MultisetEvaluator.consecutive.\nSee consecutive() below.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the inputs, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes: Sequence[~T]) -> Collection[~T]:", "funcdef": "def"}, "icepool.MultisetEvaluator.consecutive": {"fullname": "icepool.MultisetEvaluator.consecutive", "modulename": "icepool", "qualname": "MultisetEvaluator.consecutive", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.MultisetEvaluator.bound_inputs": {"fullname": "icepool.MultisetEvaluator.bound_inputs", "modulename": "icepool", "qualname": "MultisetEvaluator.bound_inputs", "kind": "function", "doc": "An optional sequence of extra inputs whose counts will be prepended to *counts.
\n\n(Prepending rather than appending is analogous to functools.partial.)
\n", "signature": "(self) -> tuple[icepool.multiset_expression.MultisetExpression, ...]:", "funcdef": "def"}, "icepool.MultisetEvaluator.evaluate": {"fullname": "icepool.MultisetEvaluator.evaluate", "modulename": "icepool", "qualname": "MultisetEvaluator.evaluate", "kind": "function", "doc": "Evaluates input expression(s).
\n\nYou can call the MultisetEvaluator object directly for the same effect,\ne.g. sum_evaluator(input) is an alias for sum_evaluator.evaluate(input).
\n\nMost evaluators will expect a fixed number of input multisets.\nThe union of the outcomes of the input(s) must be totally orderable.
\n\nArguments:
\n\n\n- *args: Each may be one of the following:\n
\n- A
MultisetExpression. \n- A mappable mapping outcomes to the number of those outcomes.
\n- A sequence of outcomes.
\n
\n
\n\nReturns:
\n\n\n A Die representing the distribution of the final outcome if no\n arg contains a free variable. Otherwise, returns a new evaluator.
\n
\n", "signature": "(\tself,\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]) -> Union[icepool.population.die.Die[+U_co], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co]]:", "funcdef": "def"}, "icepool.MultisetEvaluator.sample": {"fullname": "icepool.MultisetEvaluator.sample", "modulename": "icepool", "qualname": "MultisetEvaluator.sample", "kind": "function", "doc": "EXPERIMENTAL: Samples one result from the input(s) and evaluates the result.
\n", "signature": "(\tself,\t*inputs: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]):", "funcdef": "def"}, "icepool.Order": {"fullname": "icepool.Order", "modulename": "icepool", "qualname": "Order", "kind": "class", "doc": "Can be used to define what order outcomes are seen in by MultisetEvaluators.
\n", "bases": "enum.IntEnum"}, "icepool.Order.Ascending": {"fullname": "icepool.Order.Ascending", "modulename": "icepool", "qualname": "Order.Ascending", "kind": "variable", "doc": "\n", "default_value": "<Order.Ascending: 1>"}, "icepool.Order.Descending": {"fullname": "icepool.Order.Descending", "modulename": "icepool", "qualname": "Order.Descending", "kind": "variable", "doc": "\n", "default_value": "<Order.Descending: -1>"}, "icepool.Order.Any": {"fullname": "icepool.Order.Any", "modulename": "icepool", "qualname": "Order.Any", "kind": "variable", "doc": "\n", "default_value": "<Order.Any: 0>"}, "icepool.Order.merge": {"fullname": "icepool.Order.merge", "modulename": "icepool", "qualname": "Order.merge", "kind": "function", "doc": "Merges the given Orders.
\n\nReturns:
\n\n\n Any if all arguments are Any.\n Ascending if there is at least one Ascending in the arguments.\n Descending if there is at least one Descending in the arguments.
\n
\n\nRaises:
\n\n\nConflictingOrderError if both Ascending and Descending are in - the arguments.
\n
\n", "signature": "(*orders: icepool.order.Order) -> icepool.order.Order:", "funcdef": "def"}, "icepool.Deck": {"fullname": "icepool.Deck", "modulename": "icepool", "qualname": "Deck", "kind": "class", "doc": "Sampling without replacement (within a single evaluation).
\n\nQuantities represent duplicates.
\n", "bases": "icepool.population.base.Population[+T_co]"}, "icepool.Deck.__init__": {"fullname": "icepool.Deck.__init__", "modulename": "icepool", "qualname": "Deck.__init__", "kind": "function", "doc": "Constructor for a Deck.
\n\nAll quantities must be non-negative. Outcomes with zero quantity will be\nomitted.
\n\nArguments:
\n\n\n", "signature": "(\toutcomes: Union[Sequence, Mapping[Any, int]],\ttimes: Union[Sequence[int], int] = 1)"}, "icepool.Deck.keys": {"fullname": "icepool.Deck.keys", "modulename": "icepool", "qualname": "Deck.keys", "kind": "function", "doc": "The outcomes within the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Deck.values": {"fullname": "icepool.Deck.values", "modulename": "icepool", "qualname": "Deck.values", "kind": "function", "doc": "The quantities within the population in outcome order.
\n", "signature": "(self) -> icepool.collection.counts.CountsValuesView:", "funcdef": "def"}, "icepool.Deck.items": {"fullname": "icepool.Deck.items", "modulename": "icepool", "qualname": "Deck.items", "kind": "function", "doc": "The (outcome, quantity)s of the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsItemsView[+T_co]:", "funcdef": "def"}, "icepool.Deck.size": {"fullname": "icepool.Deck.size", "modulename": "icepool", "qualname": "Deck.size", "kind": "function", "doc": "The sum of all quantities (e.g. weights or duplicates).
\n\nFor the number of unique outcomes, use len().
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deck.deal": {"fullname": "icepool.Deck.deal", "modulename": "icepool", "qualname": "Deck.deal", "kind": "function", "doc": "Creates a Deal object from this deck.
\n\nSee Deal() for details.
\n", "signature": "(\tself,\t*hand_sizes: int) -> Union[icepool.generator.deal.Deal[+T_co], icepool.generator.multi_deal.MultiDeal[+T_co, tuple[int, ...]]]:", "funcdef": "def"}, "icepool.Deck.additive_union": {"fullname": "icepool.Deck.additive_union", "modulename": "icepool", "qualname": "Deck.additive_union", "kind": "function", "doc": "Both decks merged together.
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.difference": {"fullname": "icepool.Deck.difference", "modulename": "icepool", "qualname": "Deck.difference", "kind": "function", "doc": "This deck with the other cards removed (but not below zero of each card).
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.intersection": {"fullname": "icepool.Deck.intersection", "modulename": "icepool", "qualname": "Deck.intersection", "kind": "function", "doc": "The cards that both decks have.
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.union": {"fullname": "icepool.Deck.union", "modulename": "icepool", "qualname": "Deck.union", "kind": "function", "doc": "As many of each card as the deck that has more of them.
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.symmetric_difference": {"fullname": "icepool.Deck.symmetric_difference", "modulename": "icepool", "qualname": "Deck.symmetric_difference", "kind": "function", "doc": "As many of each card as the deck that has more of them.
\n", "signature": "(\tself,\tother: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.map": {"fullname": "icepool.Deck.map", "modulename": "icepool", "qualname": "Deck.map", "kind": "function", "doc": "Maps outcomes of this Deck to other outcomes.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable returning a new outcome for each old outcome.
\n- A map from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nThe new outcomes may be
Decks, in which case one card is\nreplaced with several. This is not recommended. \n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
repl.\nIf not provided, this will be guessed based on the function\nsignature. \n
\n", "signature": "(\tself,\trepl: Union[Callable[..., Union[~U, icepool.population.deck.Deck[~U], icepool.typing.RerollType]], Mapping[+T_co, Union[~U, icepool.population.deck.Deck[~U], icepool.typing.RerollType]]],\t/,\tstar: bool | None = None) -> icepool.population.deck.Deck[~U]:", "funcdef": "def"}, "icepool.Deck.sequence": {"fullname": "icepool.Deck.sequence", "modulename": "icepool", "qualname": "Deck.sequence", "kind": "function", "doc": "Possible sequences produced by dealing from this deck a number of times.
\n\nThis is extremely expensive computationally. If you don't care about\norder, use deal() instead.
\n", "signature": "(self, deals: int, /) -> icepool.population.die.Die[tuple[+T_co, ...]]:", "funcdef": "def"}, "icepool.Deal": {"fullname": "icepool.Deal", "modulename": "icepool", "qualname": "Deal", "kind": "class", "doc": "Represents an unordered deal of a single hand from a Deck.
\n", "bases": "icepool.generator.keep.KeepGenerator[~T]"}, "icepool.Deal.__init__": {"fullname": "icepool.Deal.__init__", "modulename": "icepool", "qualname": "Deal.__init__", "kind": "function", "doc": "Constructor.
\n\nFor algorithmic reasons, you must pre-commit to the number of cards to\ndeal.
\n\nIt is permissible to deal zero cards from an empty deck, but not all\nevaluators will handle this case, especially if they depend on the\noutcome type. Dealing zero cards from a non-empty deck does not have\nthis issue.
\n\nArguments:
\n\n\n- deck: The
Deck to deal from. \n- hand_size: How many cards to deal.
\n
\n", "signature": "(deck: icepool.population.deck.Deck[~T], hand_size: int)"}, "icepool.Deal.deck": {"fullname": "icepool.Deal.deck", "modulename": "icepool", "qualname": "Deal.deck", "kind": "function", "doc": "The Deck the cards are dealt from.
\n", "signature": "(self) -> icepool.population.deck.Deck[~T]:", "funcdef": "def"}, "icepool.Deal.hand_sizes": {"fullname": "icepool.Deal.hand_sizes", "modulename": "icepool", "qualname": "Deal.hand_sizes", "kind": "function", "doc": "The number of cards dealt to each hand as a tuple.
\n", "signature": "(self) -> tuple[int, ...]:", "funcdef": "def"}, "icepool.Deal.total_cards_dealt": {"fullname": "icepool.Deal.total_cards_dealt", "modulename": "icepool", "qualname": "Deal.total_cards_dealt", "kind": "function", "doc": "The total number of cards dealt.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deal.outcomes": {"fullname": "icepool.Deal.outcomes", "modulename": "icepool", "qualname": "Deal.outcomes", "kind": "function", "doc": "The outcomes of the Deck in ascending order.
\n\nThese are also the keys of the Deck as a Mapping.\nPrefer to use the name outcomes.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[~T]:", "funcdef": "def"}, "icepool.Deal.output_arity": {"fullname": "icepool.Deal.output_arity", "modulename": "icepool", "qualname": "Deal.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deal.denominator": {"fullname": "icepool.Deal.denominator", "modulename": "icepool", "qualname": "Deal.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deal.local_order_preference": {"fullname": "icepool.Deal.local_order_preference", "modulename": "icepool", "qualname": "Deal.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.MultiDeal": {"fullname": "icepool.MultiDeal", "modulename": "icepool", "qualname": "MultiDeal", "kind": "class", "doc": "Represents an unordered deal of multiple hands from a Deck.
\n", "bases": "icepool.generator.multiset_generator.MultisetGenerator[~T, ~Qs]"}, "icepool.MultiDeal.__init__": {"fullname": "icepool.MultiDeal.__init__", "modulename": "icepool", "qualname": "MultiDeal.__init__", "kind": "function", "doc": "Constructor.
\n\nFor algorithmic reasons, you must pre-commit to the number of cards to\ndeal for each hand.
\n\nIt is permissible to deal zero cards from an empty deck, but not all\nevaluators will handle this case, especially if they depend on the\noutcome type. Dealing zero cards from a non-empty deck does not have\nthis issue.
\n\nArguments:
\n\n\n- deck: The
Deck to deal from. \n- *hand_sizes: How many cards to deal. If multiple
hand_sizes are\nprovided, MultisetEvaluator.next_state will recieve one count\nper hand in order. Try to keep the number of hands to a minimum\nas this can be computationally intensive. \n
\n", "signature": "(deck: icepool.population.deck.Deck[~T], *hand_sizes: int)"}, "icepool.MultiDeal.deck": {"fullname": "icepool.MultiDeal.deck", "modulename": "icepool", "qualname": "MultiDeal.deck", "kind": "function", "doc": "The Deck the cards are dealt from.
\n", "signature": "(self) -> icepool.population.deck.Deck[~T]:", "funcdef": "def"}, "icepool.MultiDeal.hand_sizes": {"fullname": "icepool.MultiDeal.hand_sizes", "modulename": "icepool", "qualname": "MultiDeal.hand_sizes", "kind": "function", "doc": "The number of cards dealt to each hand as a tuple.
\n", "signature": "(self) -> ~Qs:", "funcdef": "def"}, "icepool.MultiDeal.total_cards_dealt": {"fullname": "icepool.MultiDeal.total_cards_dealt", "modulename": "icepool", "qualname": "MultiDeal.total_cards_dealt", "kind": "function", "doc": "The total number of cards dealt.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultiDeal.outcomes": {"fullname": "icepool.MultiDeal.outcomes", "modulename": "icepool", "qualname": "MultiDeal.outcomes", "kind": "function", "doc": "The outcomes of the Deck in ascending order.
\n\nThese are also the keys of the Deck as a Mapping.\nPrefer to use the name outcomes.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[~T]:", "funcdef": "def"}, "icepool.MultiDeal.output_arity": {"fullname": "icepool.MultiDeal.output_arity", "modulename": "icepool", "qualname": "MultiDeal.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultiDeal.denominator": {"fullname": "icepool.MultiDeal.denominator", "modulename": "icepool", "qualname": "MultiDeal.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultiDeal.local_order_preference": {"fullname": "icepool.MultiDeal.local_order_preference", "modulename": "icepool", "qualname": "MultiDeal.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.multiset_function": {"fullname": "icepool.multiset_function", "modulename": "icepool", "qualname": "multiset_function", "kind": "function", "doc": "EXPERIMENTAL: A decorator that turns a function into a MultisetEvaluator.
\n\nThe provided function should take in arguments representing multisets,\ndo a limited set of operations on them (see MultisetExpression), and\nfinish off with an evaluation. You can return tuples to perform a joint\nevaluation.
\n\nFor example, to create an evaluator which computes the elements each of two\nmultisets has that the other doesn't:
\n\n\n
@multiset_function\ndef two_way_difference(a, b):\n return (a - b).expand(), (b - a).expand()\n
\n
Any globals inside function are effectively bound at the time\nmultiset_function is invoked. Note that this is different than how\nordinary Python closures behave. For example,
\n\n\n
target = [1, 2, 3]\n\n@multiset_function\ndef count_intersection(a):\n return (a & target).count()\n\nprint(count_intersection(d6.pool(3)))\n\ntarget = [1]\nprint(count_intersection(d6.pool(3)))\n
\n
would produce the same thing both times. Likewise, the function should not\nhave any side effects.
\n\nBe careful when using control structures: you cannot branch on the value of\na multiset expression or evaluation, so e.g.
\n\n\n
@multiset_function\ndef bad(a, b)\n if a == b:\n ...\n
\n
is not allowed.
\n\nmultiset_function has considerable overhead, being effectively a\nmini-language within Python. For better performance, you can try\nimplementing your own subclass of MultisetEvaluator directly.
\n\nArguments:
\n\n\n- function: This should take in a fixed number of multiset variables and\noutput an evaluator or a nested tuple of evaluators. Tuples will\nresult in a
JointEvaluator. \n
\n", "signature": "(\tfunction: Callable[..., Union[icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co], tuple[Union[icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co], tuple[ForwardRef('NestedTupleOrEvaluator[T, U_co]'), ...]], ...]]],\t/) -> icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, typing.Union[+U_co, tuple[typing.Union[+U_co, tuple[ForwardRef('NestedTupleOrOutcome[U_co]'), ...]], ...]]]:", "funcdef": "def"}, "icepool.format_probability_inverse": {"fullname": "icepool.format_probability_inverse", "modulename": "icepool", "qualname": "format_probability_inverse", "kind": "function", "doc": "EXPERIMENTAL: Formats the inverse of a value as \"1 in N\".
\n\nArguments:
\n\n\n- probability: The value to be formatted.
\n- int_start: If N = 1 / probability is between this value and 1 million\ntimes this value it will be formatted as an integer. Otherwise it \nbe formatted asa float with precision at least 1 part in int_start.
\n
\n", "signature": "(probability, /, int_start: int = 20):", "funcdef": "def"}, "icepool.evaluator": {"fullname": "icepool.evaluator", "modulename": "icepool.evaluator", "kind": "module", "doc": "Submodule containing evaluators.
\n"}, "icepool.evaluator.JointEvaluator": {"fullname": "icepool.evaluator.JointEvaluator", "modulename": "icepool.evaluator", "qualname": "JointEvaluator", "kind": "class", "doc": "A MultisetEvaluator that jointly evaluates sub-evaluators on the same set of input generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple]"}, "icepool.evaluator.JointEvaluator.__init__": {"fullname": "icepool.evaluator.JointEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*sub_evaluators: icepool.evaluator.multiset_evaluator.MultisetEvaluator)"}, "icepool.evaluator.JointEvaluator.next_state": {"fullname": "icepool.evaluator.JointEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.next_state", "kind": "function", "doc": "Runs next_state for all sub-evaluator.
\n\nThe state is a tuple of the sub-states.
\n\nIf any sub-evaluator returns Reroll, the result as a whole is Reroll.
\n", "signature": "(self, state, outcome, *counts):", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.final_outcome": {"fullname": "icepool.evaluator.JointEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.final_outcome", "kind": "function", "doc": "Runs final_state for all sub-evaluators.
\n\nThe final outcome is a tuple of the final suboutcomes.
\n\nIf any sub-evaluator returns Reroll, the result as a whole is Reroll.
\n", "signature": "(self, final_state) -> tuple | icepool.typing.RerollType:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.order": {"fullname": "icepool.evaluator.JointEvaluator.order", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.order", "kind": "function", "doc": "Determines the common order of the sub-evaluators.
\n\nRaises:
\n\n\n- ValueError: If sub-evaluators have conflicting orders, i.e. some are\nascending and others are descending.
\n
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.JointEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.extra_outcomes", "kind": "function", "doc": "Optional method to specify extra outcomes that should be seen as inputs to next_state().
\n\nThese will be seen by next_state even if they do not appear in the\ninput(s). The default implementation returns (), or no additional\noutcomes.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nextra_outcomes = icepool.MultisetEvaluator.consecutive.\nSee consecutive() below.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the inputs, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes) -> Collection[~T]:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.bound_inputs": {"fullname": "icepool.evaluator.JointEvaluator.bound_inputs", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.bound_inputs", "kind": "function", "doc": "An optional sequence of extra inputs whose counts will be prepended to *counts.
\n\n(Prepending rather than appending is analogous to functools.partial.)
\n", "signature": "(self) -> tuple[icepool.multiset_expression.MultisetExpression, ...]:", "funcdef": "def"}, "icepool.evaluator.ExpandEvaluator": {"fullname": "icepool.evaluator.ExpandEvaluator", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator", "kind": "class", "doc": "All elements of the multiset.
\n\nThis is expensive and not recommended unless there are few possibilities.
\n\nOutcomes with negative count will be treated as 0 count.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple]"}, "icepool.evaluator.ExpandEvaluator.__init__": {"fullname": "icepool.evaluator.ExpandEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(order: icepool.order.Order = <Order.Ascending: 1>)"}, "icepool.evaluator.ExpandEvaluator.next_state": {"fullname": "icepool.evaluator.ExpandEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.ExpandEvaluator.final_outcome": {"fullname": "icepool.evaluator.ExpandEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple:", "funcdef": "def"}, "icepool.evaluator.SumEvaluator": {"fullname": "icepool.evaluator.SumEvaluator", "modulename": "icepool.evaluator", "qualname": "SumEvaluator", "kind": "class", "doc": "Sums all outcomes.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, typing.Any]"}, "icepool.evaluator.SumEvaluator.__init__": {"fullname": "icepool.evaluator.SumEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "SumEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nmap: If provided, outcomes will be mapped according to this just\n before summing.
\n", "signature": "(map: Union[Callable, Mapping, NoneType] = None)"}, "icepool.evaluator.SumEvaluator.next_state": {"fullname": "icepool.evaluator.SumEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "SumEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.sum_evaluator": {"fullname": "icepool.evaluator.sum_evaluator", "modulename": "icepool.evaluator", "qualname": "sum_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.basic.SumEvaluator object>"}, "icepool.evaluator.CountEvaluator": {"fullname": "icepool.evaluator.CountEvaluator", "modulename": "icepool.evaluator", "qualname": "CountEvaluator", "kind": "class", "doc": "Returns the total count of outcomes.
\n\nUsually not very interesting unless the counts are adjusted by\nunique etc.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.CountEvaluator.next_state": {"fullname": "icepool.evaluator.CountEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "CountEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.CountEvaluator.final_outcome": {"fullname": "icepool.evaluator.CountEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "CountEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> int:", "funcdef": "def"}, "icepool.evaluator.count_evaluator": {"fullname": "icepool.evaluator.count_evaluator", "modulename": "icepool.evaluator", "qualname": "count_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.basic.CountEvaluator object>"}, "icepool.evaluator.AnyEvaluator": {"fullname": "icepool.evaluator.AnyEvaluator", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator", "kind": "class", "doc": "Returns True iff at least one count is positive.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.AnyEvaluator.next_state": {"fullname": "icepool.evaluator.AnyEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.AnyEvaluator.final_outcome": {"fullname": "icepool.evaluator.AnyEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> bool:", "funcdef": "def"}, "icepool.evaluator.any_evaluator": {"fullname": "icepool.evaluator.any_evaluator", "modulename": "icepool.evaluator", "qualname": "any_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.basic.AnyEvaluator object>"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator", "kind": "class", "doc": "The highest outcome that has positive count, along with that count.
\n\nIf no outcomes have positive count, the result is the min outcome with a count of 0.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[typing.Any, int]]"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator.next_state": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.extra_outcomes", "kind": "function", "doc": "Always sees zero counts.
\n", "signature": "(self, outcomes: Sequence) -> Collection:", "funcdef": "def"}, "icepool.evaluator.highest_outcome_and_count_evaluator": {"fullname": "icepool.evaluator.highest_outcome_and_count_evaluator", "modulename": "icepool.evaluator", "qualname": "highest_outcome_and_count_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.HighestOutcomeAndCountEvaluator object>"}, "icepool.evaluator.LargestCountEvaluator": {"fullname": "icepool.evaluator.LargestCountEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestCountEvaluator", "kind": "class", "doc": "The largest count of any outcome.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.LargestCountEvaluator.next_state": {"fullname": "icepool.evaluator.LargestCountEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestCountEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.largest_count_evaluator": {"fullname": "icepool.evaluator.largest_count_evaluator", "modulename": "icepool.evaluator", "qualname": "largest_count_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestCountEvaluator object>"}, "icepool.evaluator.LargestCountAndOutcomeEvaluator": {"fullname": "icepool.evaluator.LargestCountAndOutcomeEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestCountAndOutcomeEvaluator", "kind": "class", "doc": "The largest count of any outcome, along with that outcome.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[int, typing.Any]]"}, "icepool.evaluator.LargestCountAndOutcomeEvaluator.next_state": {"fullname": "icepool.evaluator.LargestCountAndOutcomeEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestCountAndOutcomeEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.largest_count_and_outcome_evaluator": {"fullname": "icepool.evaluator.largest_count_and_outcome_evaluator", "modulename": "icepool.evaluator", "qualname": "largest_count_and_outcome_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestCountAndOutcomeEvaluator object>"}, "icepool.evaluator.CountSubsetEvaluator": {"fullname": "icepool.evaluator.CountSubsetEvaluator", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator", "kind": "class", "doc": "The number of times the right side is contained in the left side.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.CountSubsetEvaluator.__init__": {"fullname": "icepool.evaluator.CountSubsetEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator.__init__", "kind": "function", "doc": "Arguments:
\n\n\n- empty_divisor: If the divisor is empty, the outcome will be this.\nIf not set,
ZeroDivisionError will be raised for an empty\nright side. \n
\n", "signature": "(*, empty_divisor: int | None = None)"}, "icepool.evaluator.CountSubsetEvaluator.next_state": {"fullname": "icepool.evaluator.CountSubsetEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the count of that outcome produced by each input.
\n\nevaluate() will always call this using only positional arguments.\nFurthermore, there is no expectation that a subclass be able to handle\nan arbitrary number of counts. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *counts with a fixed set\nof parameters.
\n\nMake sure to handle the base case where state is None.
\n\nStates must be hashable. At current, they do not have to be orderable.\nHowever, this may change in the future, and if they are not totally\norderable, you must override final_outcome to create totally orderable\nfinal outcomes.
\n\nBy default, this method may receive outcomes in any order:
\n\n\n- If you want to guarantee ascending or descending order, you can \nimplement
next_state_ascending() or next_state_descending() \ninstead. \n- Alternatively, implement
next_state() and override order() to\nreturn the necessary order. This is useful if the necessary order\ndepends on the instance. \n- If you want to handle either order, but have a different \nimplementation for each, override both
next_state_ascending() and \nnext_state_descending(). \n
\n\nThe behavior of returning a Die from next_state is currently\nundefined.
\n\nArguments:
\n\n\n- state: A hashable object indicating the state before rolling the\ncurrent outcome. If this is the first outcome being considered,\n
state will be None. \n- outcome: The current outcome.\n
next_state will see all rolled outcomes in monotonic order;\neither ascending or descending depending on order().\nIf there are multiple inputs, the set of outcomes is at \nleast the union of the outcomes of the invididual inputs. \nYou can use extra_outcomes() to add extra outcomes. \n- *counts: One value (usually an
int) for each input indicating how\nmany of the current outcome were produced. \n
\n\nReturns:
\n\n\n A hashable object indicating the next state.\n The special value icepool.Reroll can be used to immediately remove\n the state from consideration, effectively performing a full reroll.
\n
\n", "signature": "(self, state, _, left, right):", "funcdef": "def"}, "icepool.evaluator.CountSubsetEvaluator.final_outcome": {"fullname": "icepool.evaluator.CountSubsetEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(self, final_state):", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator": {"fullname": "icepool.evaluator.AllCountsEvaluator", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator", "kind": "class", "doc": "All counts in descending order.
\n\nIn other words, this produces tuples of the sizes of all matching sets.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[int, ...]]"}, "icepool.evaluator.AllCountsEvaluator.__init__": {"fullname": "icepool.evaluator.AllCountsEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.__init__", "kind": "function", "doc": "Arguments:
\n\n\n- filter: Any counts below this value will not be in the output.\nFor example,
filter=2 will only produce pairs and better.\nIf None, no filtering will be done. \n
\n", "signature": "(*, filter: Union[int, Literal['all']] = 1)"}, "icepool.evaluator.AllCountsEvaluator.next_state": {"fullname": "icepool.evaluator.AllCountsEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator.final_outcome": {"fullname": "icepool.evaluator.AllCountsEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple:", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.AllCountsEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.extra_outcomes", "kind": "function", "doc": "Always sees zero counts.
\n", "signature": "(self, outcomes: Sequence) -> Collection:", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator": {"fullname": "icepool.evaluator.LargestStraightEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator", "kind": "class", "doc": "The size of the largest straight.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, int]"}, "icepool.evaluator.LargestStraightEvaluator.next_state": {"fullname": "icepool.evaluator.LargestStraightEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator.final_outcome": {"fullname": "icepool.evaluator.LargestStraightEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> int:", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.LargestStraightEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.largest_straight_evaluator": {"fullname": "icepool.evaluator.largest_straight_evaluator", "modulename": "icepool.evaluator", "qualname": "largest_straight_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestStraightEvaluator object>"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator", "kind": "class", "doc": "The size of the largest straight among the elements and the lowest or highest outcome in that straight.
\n\nStraight size is prioritized first, then the outcome.
\n\nOutcomes must be ints.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, int]]"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.__init__": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nArguments:
\n\n\n- priority: Controls which outcome within the straight is returned,\nand which straight is picked if there is a tie for largest\nstraight.
\n
\n", "signature": "(priority: Literal['low', 'high'])"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_ascending": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_ascending", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.next_state_ascending", "kind": "function", "doc": "As next_state() but handles outcomes in ascending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_descending": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_descending", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.next_state_descending", "kind": "function", "doc": "As next_state() but handles outcomes in descending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.final_outcome": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(self, final_state) -> tuple[int, int]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.largest_straight_and_outcome_evaluator_low": {"fullname": "icepool.evaluator.largest_straight_and_outcome_evaluator_low", "modulename": "icepool.evaluator", "qualname": "largest_straight_and_outcome_evaluator_low", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestStraightAndOutcomeEvaluator object>"}, "icepool.evaluator.largest_straight_and_outcome_evaluator_high": {"fullname": "icepool.evaluator.largest_straight_and_outcome_evaluator_high", "modulename": "icepool.evaluator", "qualname": "largest_straight_and_outcome_evaluator_high", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestStraightAndOutcomeEvaluator object>"}, "icepool.evaluator.AllStraightsEvaluator": {"fullname": "icepool.evaluator.AllStraightsEvaluator", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator", "kind": "class", "doc": "The sizes of all straights in descending order.
\n\nEach element can only contribute to one straight, though duplicate\nelements can produces straights that overlap in outcomes. In this case,\nelements are preferentially assigned to the longer straight.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, ...]]"}, "icepool.evaluator.AllStraightsEvaluator.next_state": {"fullname": "icepool.evaluator.AllStraightsEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.AllStraightsEvaluator.final_outcome": {"fullname": "icepool.evaluator.AllStraightsEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple[int, ...]:", "funcdef": "def"}, "icepool.evaluator.AllStraightsEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.AllStraightsEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.all_straights_evaluator": {"fullname": "icepool.evaluator.all_straights_evaluator", "modulename": "icepool.evaluator", "qualname": "all_straights_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.AllStraightsEvaluator object>"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator", "kind": "class", "doc": "All straights with a reduce operation on the counts.
\n\nThis can be used to evaluate e.g. cribbage-style straight counting.
\n\nThe result is a tuple of (run_length, run_score)s.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[tuple[int, int], ...]]"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.__init__": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nArguments:
\n\n\n- reducer: How to reduce the counts within each straight. The default\nis
operator.mul, which counts the number of ways to pick\nelements for each straight, e.g. cribbage. \n
\n", "signature": "(reducer: Callable[[int, int], int] = <built-in function mul>)"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.next_state": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.final_outcome": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple[tuple[int, int], ...]:", "funcdef": "def"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator": {"fullname": "icepool.evaluator.ComparisonEvaluator", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.ComparisonEvaluator.any_all": {"fullname": "icepool.evaluator.ComparisonEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator.default_outcome": {"fullname": "icepool.evaluator.ComparisonEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator.next_state": {"fullname": "icepool.evaluator.ComparisonEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, left, right):", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator.final_outcome": {"fullname": "icepool.evaluator.ComparisonEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> bool:", "funcdef": "def"}, "icepool.evaluator.IsSubsetEvaluator": {"fullname": "icepool.evaluator.IsSubsetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsSubsetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsSubsetEvaluator.any_all": {"fullname": "icepool.evaluator.IsSubsetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsSubsetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsSubsetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsSubsetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsSubsetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsProperSubsetEvaluator": {"fullname": "icepool.evaluator.IsProperSubsetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsProperSubsetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsProperSubsetEvaluator.any_all": {"fullname": "icepool.evaluator.IsProperSubsetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsProperSubsetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsProperSubsetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsProperSubsetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsProperSubsetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsSupersetEvaluator": {"fullname": "icepool.evaluator.IsSupersetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsSupersetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsSupersetEvaluator.any_all": {"fullname": "icepool.evaluator.IsSupersetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsSupersetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsSupersetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsSupersetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsSupersetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsProperSupersetEvaluator": {"fullname": "icepool.evaluator.IsProperSupersetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsProperSupersetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsProperSupersetEvaluator.any_all": {"fullname": "icepool.evaluator.IsProperSupersetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsProperSupersetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsProperSupersetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsProperSupersetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsProperSupersetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsEqualSetEvaluator": {"fullname": "icepool.evaluator.IsEqualSetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsEqualSetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsEqualSetEvaluator.any_all": {"fullname": "icepool.evaluator.IsEqualSetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsEqualSetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsEqualSetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsEqualSetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsEqualSetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsNotEqualSetEvaluator": {"fullname": "icepool.evaluator.IsNotEqualSetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsNotEqualSetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsNotEqualSetEvaluator.any_all": {"fullname": "icepool.evaluator.IsNotEqualSetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsNotEqualSetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsNotEqualSetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsNotEqualSetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsNotEqualSetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsDisjointSetEvaluator": {"fullname": "icepool.evaluator.IsDisjointSetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsDisjointSetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsDisjointSetEvaluator.any_all": {"fullname": "icepool.evaluator.IsDisjointSetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsDisjointSetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsDisjointSetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsDisjointSetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsDisjointSetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.KeepEvaluator": {"fullname": "icepool.evaluator.KeepEvaluator", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator", "kind": "class", "doc": "Produces the outcome at a given sorted index.
\n\nThe attached generator or expression must produce enough values to reach\nthe sorted index; otherwise, this raises IndexError.
\n\nNegative incoming counts are treated as zero counts.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, typing.Any]"}, "icepool.evaluator.KeepEvaluator.__init__": {"fullname": "icepool.evaluator.KeepEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nArguments:
\n\n\n- index: The index to keep.\n
\n- If non-negative, this runs in ascending order.
\n- If negative, this runs in descending order.
\n- If
None, this assumes only one element is produced. \n
\n
\n", "signature": "(index: int | None = None)"}, "icepool.evaluator.KeepEvaluator.next_state": {"fullname": "icepool.evaluator.KeepEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.KeepEvaluator.final_outcome": {"fullname": "icepool.evaluator.KeepEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state):", "funcdef": "def"}, "icepool.evaluator.KeepEvaluator.order": {"fullname": "icepool.evaluator.KeepEvaluator.order", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.order", "kind": "function", "doc": "The required order is determined by whether the index is negative.
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.evaluator.ArgsortEvaluator": {"fullname": "icepool.evaluator.ArgsortEvaluator", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator", "kind": "class", "doc": "Returns the indexes of the originating multisets for each rank in their additive union.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[tuple[int, ...], ...]]"}, "icepool.evaluator.ArgsortEvaluator.__init__": {"fullname": "icepool.evaluator.ArgsortEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*,\torder: icepool.order.Order = <Order.Descending: -1>,\tlimit: int | None = None)"}, "icepool.evaluator.ArgsortEvaluator.next_state": {"fullname": "icepool.evaluator.ArgsortEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, *counts):", "funcdef": "def"}, "icepool.evaluator.ArgsortEvaluator.final_outcome": {"fullname": "icepool.evaluator.ArgsortEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(self, final_state):", "funcdef": "def"}, "icepool.evaluator.ArgsortEvaluator.order": {"fullname": "icepool.evaluator.ArgsortEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.order", "kind": "function", "doc": "Optional method that specifies what outcome orderings this evaluator supports.
\n\nBy default, this is determined by which of next_state(), \nnext_state_ascending(), and next_state_descending() are\noverridden.
\n\nThis is most often overridden by subclasses whose iteration order is\ndetermined on a per-instance basis.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if outcomes are to be seen in ascending order.\n In this case either
next_state() or next_state_ascending()\n are implemented. \n - Order.Descending (= -1)\n if outcomes are to be seen in descending order.\n In this case either
next_state() or next_state_descending()\n are implemented. \n - Order.Any (= 0)\n if outcomes can be seen in any order.\n In this case either
next_state() or both\n next_state_ascending() and next_state_descending()\n are implemented. \n
\n
\n", "signature": "(self):", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator", "kind": "class", "doc": "An abstract, immutable, callable class for evaulating one or more input MultisetExpressions.
\n\nThere is one abstract method to implement: next_state().\nThis should incrementally calculate the result given one outcome at a time\nalong with how many of that outcome were produced.
\n\nAn example sequence of calls, as far as next_state() is concerned, is:
\n\n\nstate = next_state(state=None, outcome=1, count_of_1s)state = next_state(state, 2, count_of_2s)state = next_state(state, 3, count_of_3s)state = next_state(state, 4, count_of_4s)state = next_state(state, 5, count_of_5s)state = next_state(state, 6, count_of_6s)outcome = final_outcome(state)
\n\nA few other methods can optionally be overridden to further customize behavior.
\n\nIt is not expected that subclasses of MultisetEvaluator\nbe able to handle arbitrary types or numbers of inputs.\nIndeed, most are expected to handle only a fixed number of inputs,\nand often even only inputs with a particular outcome type.
\n\nInstances cache all intermediate state distributions.\nYou should therefore reuse instances when possible.
\n\nInstances should not be modified after construction\nin any way that affects the return values of these methods.\nOtherwise, values in the cache may be incorrect.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co]"}, "icepool.evaluator.MultisetFunctionEvaluator.__init__": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*inputs: icepool.multiset_expression.MultisetExpression[~T],\tevaluator: icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co])"}, "icepool.evaluator.MultisetFunctionEvaluator.next_state": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the count of that outcome produced by each input.
\n\nevaluate() will always call this using only positional arguments.\nFurthermore, there is no expectation that a subclass be able to handle\nan arbitrary number of counts. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *counts with a fixed set\nof parameters.
\n\nMake sure to handle the base case where state is None.
\n\nStates must be hashable. At current, they do not have to be orderable.\nHowever, this may change in the future, and if they are not totally\norderable, you must override final_outcome to create totally orderable\nfinal outcomes.
\n\nBy default, this method may receive outcomes in any order:
\n\n\n- If you want to guarantee ascending or descending order, you can \nimplement
next_state_ascending() or next_state_descending() \ninstead. \n- Alternatively, implement
next_state() and override order() to\nreturn the necessary order. This is useful if the necessary order\ndepends on the instance. \n- If you want to handle either order, but have a different \nimplementation for each, override both
next_state_ascending() and \nnext_state_descending(). \n
\n\nThe behavior of returning a Die from next_state is currently\nundefined.
\n\nArguments:
\n\n\n- state: A hashable object indicating the state before rolling the\ncurrent outcome. If this is the first outcome being considered,\n
state will be None. \n- outcome: The current outcome.\n
next_state will see all rolled outcomes in monotonic order;\neither ascending or descending depending on order().\nIf there are multiple inputs, the set of outcomes is at \nleast the union of the outcomes of the invididual inputs. \nYou can use extra_outcomes() to add extra outcomes. \n- *counts: One value (usually an
int) for each input indicating how\nmany of the current outcome were produced. \n
\n\nReturns:
\n\n\n A hashable object indicating the next state.\n The special value icepool.Reroll can be used to immediately remove\n the state from consideration, effectively performing a full reroll.
\n
\n", "signature": "(self, state, outcome, *counts):", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.final_outcome": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(\tself,\tfinal_state) -> Union[+U_co, icepool.population.die.Die[+U_co], icepool.typing.RerollType]:", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.order": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.order", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.order", "kind": "function", "doc": "Optional method that specifies what outcome orderings this evaluator supports.
\n\nBy default, this is determined by which of next_state(), \nnext_state_ascending(), and next_state_descending() are\noverridden.
\n\nThis is most often overridden by subclasses whose iteration order is\ndetermined on a per-instance basis.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if outcomes are to be seen in ascending order.\n In this case either
next_state() or next_state_ascending()\n are implemented. \n - Order.Descending (= -1)\n if outcomes are to be seen in descending order.\n In this case either
next_state() or next_state_descending()\n are implemented. \n - Order.Any (= 0)\n if outcomes can be seen in any order.\n In this case either
next_state() or both\n next_state_ascending() and next_state_descending()\n are implemented. \n
\n
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.extra_outcomes", "kind": "function", "doc": "Optional method to specify extra outcomes that should be seen as inputs to next_state().
\n\nThese will be seen by next_state even if they do not appear in the\ninput(s). The default implementation returns (), or no additional\noutcomes.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nextra_outcomes = icepool.MultisetEvaluator.consecutive.\nSee consecutive() below.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the inputs, in
\n- ascending order.
\n
\n", "signature": "(self, *generators) -> Collection[~T]:", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.bound_inputs": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.bound_inputs", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.bound_inputs", "kind": "function", "doc": "An optional sequence of extra inputs whose counts will be prepended to *counts.
\n\n(Prepending rather than appending is analogous to functools.partial.)
\n", "signature": "(self) -> tuple[icepool.multiset_expression.MultisetExpression, ...]:", "funcdef": "def"}, "icepool.function": {"fullname": "icepool.function", "modulename": "icepool.function", "kind": "module", "doc": "Free functions.
\n"}, "icepool.function.d": {"fullname": "icepool.function.d", "modulename": "icepool.function", "qualname": "d", "kind": "function", "doc": "A standard die, uniformly distributed from 1 to sides inclusive.
\n\nDon't confuse this with icepool.Die():
\n\n\nicepool.Die([6]): A Die that always rolls the integer 6.icepool.d(6): A d6.
\n\nYou can also import individual standard dice from the icepool module, e.g.\nfrom icepool import d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.function.z": {"fullname": "icepool.function.z", "modulename": "icepool.function", "qualname": "z", "kind": "function", "doc": "A die uniformly distributed from 0 to sides - 1 inclusive.
\n\nEqual to d(sides) - 1.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.function.coin": {"fullname": "icepool.function.coin", "modulename": "icepool.function", "qualname": "coin", "kind": "function", "doc": "A Die that rolls True with probability n / d, and False otherwise.
\n\nIf n <= 0 or n >= d the result will have only one outcome.
\n\nArguments:
\n\n\n- n: An int numerator, or a non-integer probability.
\n- d: An int denominator. Should not be provided if the first argument is\nnot an int.
\n
\n", "signature": "(\tn: int | float | fractions.Fraction,\td: int = 1,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[bool]:", "funcdef": "def"}, "icepool.function.stochastic_round": {"fullname": "icepool.function.stochastic_round", "modulename": "icepool.function", "qualname": "stochastic_round", "kind": "function", "doc": "Randomly rounds a value up or down to the nearest integer according to the two distances.
\n\nSpecificially, rounds x up with probability x - floor(x) and down\notherwise, producing a Die with up to two outcomes.
\n\nArguments:
\n\n\n- max_denominator: If provided, each rounding will be performed\nusing
fractions.Fraction.limit_denominator(max_denominator).\nOtherwise, the rounding will be performed without\nlimit_denominator. \n
\n", "signature": "(\tx,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.function.one_hot": {"fullname": "icepool.function.one_hot", "modulename": "icepool.function", "qualname": "one_hot", "kind": "function", "doc": "A Die with Vector outcomes with one element set to True uniformly at random and the rest False.
\n\nThis is an easy (if somewhat expensive) way of representing how many dice\nin a pool rolled each number. For example, the outcomes of 10 @ one_hot(6)\nare the (ones, twos, threes, fours, fives, sixes) rolled in 10d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[tuple[bool, ...]]:", "funcdef": "def"}, "icepool.function.from_cumulative": {"fullname": "icepool.function.from_cumulative", "modulename": "icepool.function", "qualname": "from_cumulative", "kind": "function", "doc": "Constructs a Die from a sequence of cumulative values.
\n\nArguments:
\n\n\n- outcomes: The outcomes of the resulting die. Sorted order is recommended\nbut not necessary.
\n- cumulative: The cumulative values (inclusive) of the outcomes in the\norder they are given to this function. These may be:\n
\nint cumulative quantities.- Dice representing the cumulative distribution at that point.
\n
\n- reverse: Iff true, both of the arguments will be reversed. This allows\ne.g. constructing using a survival distribution.
\n
\n", "signature": "(\toutcomes: Sequence[~T],\tcumulative: Union[Sequence[int], Sequence[icepool.population.die.Die[bool]]],\t*,\treverse: bool = False) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.from_rv": {"fullname": "icepool.function.from_rv", "modulename": "icepool.function", "qualname": "from_rv", "kind": "function", "doc": "Constructs a Die from a rv object (as scipy.stats).
\n\nThis is done using the CDF.
\n\nArguments:
\n\n\n- rv: A rv object (as
scipy.stats). \n- outcomes: An iterable of
ints or floats that will be the outcomes\nof the resulting Die.\nIf the distribution is discrete, outcomes must be ints.\nSome outcomes may be omitted if their probability is too small\ncompared to the denominator. \n- denominator: The denominator of the resulting
Die will be set to this. \n- **kwargs: These will be forwarded to
rv.cdf(). \n
\n", "signature": "(\trv,\toutcomes: Union[Sequence[int], Sequence[float]],\tdenominator: int,\t**kwargs) -> icepool.population.die.Die[int] | icepool.population.die.Die[float]:", "funcdef": "def"}, "icepool.function.pointwise_max": {"fullname": "icepool.function.pointwise_max", "modulename": "icepool.function", "qualname": "pointwise_max", "kind": "function", "doc": "Selects the highest chance of rolling >= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling >= to that \noutcome is the same as the highest chance of rolling >= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the highest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get >= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.pointwise_min": {"fullname": "icepool.function.pointwise_min", "modulename": "icepool.function", "qualname": "pointwise_min", "kind": "function", "doc": "Selects the highest chance of rolling <= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling <= to that \noutcome is the same as the highest chance of rolling <= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the lowest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get <= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.min_outcome": {"fullname": "icepool.function.min_outcome", "modulename": "icepool.function", "qualname": "min_outcome", "kind": "function", "doc": "The minimum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.function.max_outcome": {"fullname": "icepool.function.max_outcome", "modulename": "icepool.function", "qualname": "max_outcome", "kind": "function", "doc": "The maximum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.function.consecutive": {"fullname": "icepool.function.consecutive", "modulename": "icepool.function", "qualname": "consecutive", "kind": "function", "doc": "A minimal sequence of consecutive ints covering the argument sets.
\n", "signature": "(*args: Iterable[int]) -> Sequence[int]:", "funcdef": "def"}, "icepool.function.sorted_union": {"fullname": "icepool.function.sorted_union", "modulename": "icepool.function", "qualname": "sorted_union", "kind": "function", "doc": "Merge sets into a sorted sequence.
\n", "signature": "(*args: Iterable[~T]) -> tuple[~T, ...]:", "funcdef": "def"}, "icepool.function.commonize_denominator": {"fullname": "icepool.function.commonize_denominator", "modulename": "icepool.function", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the quantities of the dice so that all of them have the same denominator.
\n\nThe denominator is the LCM of the denominators of the arguments.
\n\nArguments:
\n\n\n- *dice: Any number of dice or single outcomes convertible to dice.
\n
\n\nReturns:
\n\n\n A tuple of dice with the same denominator.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.function.reduce": {"fullname": "icepool.function.reduce", "modulename": "icepool.function", "qualname": "reduce", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice.
\n\nAnalogous to the\nfunctools function of the same name.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice, and produce an outcome\nof the same type. It may also return
Reroll, in which case the\nentire sequence is effectively rerolled. \n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.accumulate": {"fullname": "icepool.function.accumulate", "modulename": "icepool.function", "qualname": "accumulate", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice, yielding each result in turn.
\n\nAnalogous to the\nitertools function of the same name\n, though with no default function and\nthe same parameter order as reduce().
\n\nThe number of results is equal to the number of elements of dice, with\none additional element if initial is provided.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice.
\n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T]]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> Iterator[icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.function.map": {"fullname": "icepool.function.map", "modulename": "icepool.function", "qualname": "map", "kind": "function", "doc": "Applies func(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, returning a Die.
\n\nSee map_function for a decorator version of this.
\n\nExample: map(lambda a, b: a + b, d6, d6) is the same as d6 + d6.
\n\nmap() is flexible but not very efficient for more than a few dice.\nIf at all possible, use reduce(), MultisetExpression methods, and/or\nMultisetEvaluators. Even Pool.expand() (which sorts rolls) is more\nefficient than using map on the dice in order.
\n\nAgain can be used but is not recommended with repeat other than 1.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a new outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nIn this case args must have exactly one element.\nAs with the
Die constructor, the new outcomes: \n- May be dice rather than just single outcomes.
\n- The special value
icepool.Reroll will reroll that old outcome. \ntuples containing Populations will be tupleized into\nPopulations of tuples.\nThis does not apply to subclasses of tuples such as namedtuple\nor other classes such as Vector.
\n- *args:
func will be called with all joint outcomes of these.\nAllowed arg types are:\n\n- Single outcome.
\nDie. All outcomes will be sent to func.MultisetExpression. All sorted tuples of outcomes will be sent\nto func, as MultisetExpression.expand(). The expression must\nbe fully bound.
\n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \nrepeat: This will be repeated with the same arguments on the\nresult this many times, except the first of args will be replaced\nby the result of the previous iteration.
\n\nNote that returning Reroll from repl will effectively reroll all\narguments, including the first argument which represents the result\nof the process up to this point. If you only want to reroll the\ncurrent stage, you can nest another map inside repl.
\n\nEXPERIMENTAL: If set to 'inf', the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- time_limit: Similar to
repeat, but will return early if a fixed point\nis reached. If both repeat and time_limit are provided\n(not recommended), time_limit takes priority. \n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\ttime_limit: Union[int, Literal['inf'], NoneType] = None,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.map_function": {"fullname": "icepool.function.map_function", "modulename": "icepool.function", "qualname": "map_function", "kind": "function", "doc": "Decorator that turns a function that takes outcomes into a function that takes dice.
\n\nThe result must be a Die.
\n\nThis is basically a decorator version of map() and produces behavior\nsimilar to AnyDice functions, though Icepool has different typing rules\namong other differences.
\n\nmap_function can either be used with no arguments:
\n\n\n
@map_function\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6, again_depth=2)\n
\n
Or with keyword arguments, in which case the extra arguments are bound:
\n\n\n
@map_function(again_depth=2)\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6)\n
\n
Arguments:
\n\n\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> Union[Callable[..., icepool.population.die.Die[~T]], Callable[..., Callable[..., icepool.population.die.Die[~T]]]]:", "funcdef": "def"}, "icepool.function.map_and_time": {"fullname": "icepool.function.map_and_time", "modulename": "icepool.function", "qualname": "map_and_time", "kind": "function", "doc": "Repeatedly map outcomes of the state to other outcomes, while also\ncounting timesteps.
\n\nThis is useful for representing processes.
\n\nThe outcomes of the result are (outcome, time), where time is the\nnumber of repeats needed to reach an absorbing outcome (an outcome that\nonly leads to itself), or repeat, whichever is lesser.
\n\nThis will return early if it reaches a fixed point.\nTherefore, you can set repeat equal to the maximum number of\ntime you could possibly be interested in without worrying about\nit causing extra computations after the fixed point.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable returning a new outcome for each old outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\n- initial_state: The initial state of the process, which could be a\nsingle state or a
Die. \n- extra_args: Extra arguments to use, as per
map. Note that these are\nrerolled at every time step. \n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \n- time_limit: This will be repeated with the same arguments on the result\nup to this many times.
\n
\n\nReturns:
\n\n\n The Die after the modification.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\tinitial_state: Union[~T, icepool.population.die.Die[~T]],\t/,\t*extra_args,\tstar: bool | None = None,\ttime_limit: int) -> icepool.population.die.Die[tuple[~T, int]]:", "funcdef": "def"}, "icepool.function.map_to_pool": {"fullname": "icepool.function.map_to_pool", "modulename": "icepool.function", "qualname": "map_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Applies repl(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, producing a MultisetGenerator.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a
MultisetGenerator or something convertible to a Pool. \n- A mapping from old outcomes to
MultisetGenerator \nor something convertible to a Pool.\nIn this case args must have exactly one element.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value icepool.Reroll will reroll that old outcome. \n
\n- star: If
True, the first of the args will be unpacked before giving\nthem to repl.\nIf not provided, it will be guessed based on the signature of repl\nand the number of arguments. \n- denominator: If provided, the denominator of the result will be this\nvalue. Otherwise it will be the minimum to correctly weight the\npools.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n\nRaises:
\n\n\n- ValueError: If
denominator cannot be made consistent with the \nresulting mixture of pools. \n
\n", "signature": "(\trepl: Union[Callable[..., Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]], Mapping[Any, Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\tdenominator: int | None = None) -> icepool.generator.multiset_generator.MultisetGenerator[~T, tuple[int]]:", "funcdef": "def"}, "icepool.typing": {"fullname": "icepool.typing", "modulename": "icepool.typing", "kind": "module", "doc": "\n"}, "icepool.typing.S": {"fullname": "icepool.typing.S", "modulename": "icepool.typing", "qualname": "S", "kind": "variable", "doc": "A sequence type.
\n", "default_value": "~S"}, "icepool.typing.T": {"fullname": "icepool.typing.T", "modulename": "icepool.typing", "qualname": "T", "kind": "variable", "doc": "An outcome type.
\n", "default_value": "~T"}, "icepool.typing.T_co": {"fullname": "icepool.typing.T_co", "modulename": "icepool.typing", "qualname": "T_co", "kind": "variable", "doc": "An outcome type.
\n", "default_value": "+T_co"}, "icepool.typing.T_contra": {"fullname": "icepool.typing.T_contra", "modulename": "icepool.typing", "qualname": "T_contra", "kind": "variable", "doc": "An outcome type.
\n", "default_value": "-T_contra"}, "icepool.typing.U": {"fullname": "icepool.typing.U", "modulename": "icepool.typing", "qualname": "U", "kind": "variable", "doc": "Another outcome type.
\n", "default_value": "~U"}, "icepool.typing.U_co": {"fullname": "icepool.typing.U_co", "modulename": "icepool.typing", "qualname": "U_co", "kind": "variable", "doc": "Another outcome type.
\n", "default_value": "+U_co"}, "icepool.typing.Qs": {"fullname": "icepool.typing.Qs", "modulename": "icepool.typing", "qualname": "Qs", "kind": "variable", "doc": "A tuple of count types. In this future this may be replaced with a TypeVarTuple.
\n", "default_value": "~Qs"}, "icepool.typing.RerollType": {"fullname": "icepool.typing.RerollType", "modulename": "icepool.typing", "qualname": "RerollType", "kind": "class", "doc": "The type of the Reroll singleton.
\n", "bases": "enum.Enum"}, "icepool.typing.RerollType.Reroll": {"fullname": "icepool.typing.RerollType.Reroll", "modulename": "icepool.typing", "qualname": "RerollType.Reroll", "kind": "variable", "doc": "Indicates an outcome should be rerolled (with unlimited depth).
\n", "default_value": "<RerollType.Reroll: 'Reroll'>"}, "icepool.typing.Outcome": {"fullname": "icepool.typing.Outcome", "modulename": "icepool.typing", "qualname": "Outcome", "kind": "class", "doc": "Protocol to attempt to verify that outcome types are hashable and sortable.
\n\nFar from foolproof, e.g. it cannot enforce total ordering.
\n", "bases": "typing.Hashable, typing.Protocol[-T_contra]"}, "icepool.typing.ImplicitConversionError": {"fullname": "icepool.typing.ImplicitConversionError", "modulename": "icepool.typing", "qualname": "ImplicitConversionError", "kind": "class", "doc": "Indicates that an implicit conversion failed.
\n", "bases": "builtins.TypeError"}, "icepool.typing.count_positional_parameters": {"fullname": "icepool.typing.count_positional_parameters", "modulename": "icepool.typing", "qualname": "count_positional_parameters", "kind": "function", "doc": "Counts the number of positional parameters of the callable.
\n\nReturns:
\n\n\n Two ints. The first is the number of required positional arguments;\n the second is total number of positional arguments, or None if there\n is a variadic *args.
\n
\n", "signature": "(function: Callable) -> tuple[int, int | None]:", "funcdef": "def"}, "icepool.typing.guess_star": {"fullname": "icepool.typing.guess_star", "modulename": "icepool.typing", "qualname": "guess_star", "kind": "function", "doc": "Guesses whether the first argument should be unpacked before giving it to the function.
\n\nArguments:
\n\n\n- arg_count: The number of arguments that will be provided to the function.
\n
\n", "signature": "(function, arg_count=1) -> bool:", "funcdef": "def"}}, "docInfo": {"icepool": {"qualname": 0, "fullname": 1, "annotation": 0, "default_value": 0, "signature": 0, "bases": 0, "doc": 95}, "icepool.d": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 45, "bases": 0, "doc": 87}, "icepool.z": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 45, "bases": 0, "doc": 25}, "icepool.coin": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 113, "bases": 0, "doc": 88}, "icepool.stochastic_round": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 73, "bases": 0, "doc": 91}, "icepool.one_hot": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 56, "bases": 0, "doc": 79}, "icepool.Outcome": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 0, "bases": 6, "doc": 28}, "icepool.Die": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 0, "bases": 5, "doc": 61}, "icepool.Die.__init__": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 199, "bases": 0, "doc": 652}, "icepool.Die.unary_operator": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 109, "bases": 0, "doc": 125}, "icepool.Die.binary_operator": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 106, "bases": 0, "doc": 293}, "icepool.Die.keys": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 11}, "icepool.Die.values": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 11}, "icepool.Die.items": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 13}, "icepool.Die.simplify": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 11}, "icepool.Die.reroll": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 160, "bases": 0, "doc": 155}, "icepool.Die.filter": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 147, "bases": 0, "doc": 160}, "icepool.Die.split": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 102, "bases": 0, "doc": 123}, "icepool.Die.truncate": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 63, "bases": 0, "doc": 89}, "icepool.Die.clip": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 63, "bases": 0, "doc": 92}, "icepool.Die.map": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 473, "bases": 0, "doc": 34}, "icepool.Die.map_and_time": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 249, "bases": 0, "doc": 37}, "icepool.Die.time_to_sum": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 131, "bases": 0, "doc": 115}, "icepool.Die.mean_time_to_sum": {"qualname": 5, "fullname": 6, "annotation": 0, "default_value": 0, "signature": 63, "bases": 0, "doc": 67}, "icepool.Die.explode": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 158, "bases": 0, "doc": 191}, "icepool.Die.if_else": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 266, "bases": 0, "doc": 48}, "icepool.Die.is_in": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 59, "bases": 0, "doc": 19}, "icepool.Die.count": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 73, "bases": 0, "doc": 18}, "icepool.Die.sequence": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 59, "bases": 0, "doc": 44}, "icepool.Die.pool": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 79, "bases": 0, "doc": 110}, "icepool.Die.keep": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 115, "bases": 0, "doc": 448}, "icepool.Die.lowest": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 95, "bases": 0, "doc": 188}, "icepool.Die.highest": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 104, "bases": 0, "doc": 177}, "icepool.Die.middle": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 123, "bases": 0, "doc": 138}, "icepool.Die.map_to_pool": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 312, "bases": 0, "doc": 314}, "icepool.Die.explode_to_pool": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 169, "bases": 0, "doc": 189}, "icepool.Die.reroll_to_pool": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 212, "bases": 0, "doc": 357}, "icepool.Die.abs": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 3}, "icepool.Die.round": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 52, "bases": 0, "doc": 3}, "icepool.Die.stochastic_round": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 67, "bases": 0, "doc": 80}, "icepool.Die.trunc": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 3}, "icepool.Die.floor": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 3}, "icepool.Die.ceil": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 3}, "icepool.Die.cmp": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 40, "bases": 0, "doc": 39}, "icepool.Die.sign": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 35, "bases": 0, "doc": 42}, "icepool.Die.equals": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 41, "bases": 0, "doc": 191}, "icepool.Population": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 0, "bases": 9, "doc": 37}, "icepool.Population.keys": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 11}, "icepool.Population.values": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 11}, "icepool.Population.items": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 13}, "icepool.Population.outcomes": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 32}, "icepool.Population.common_outcome_length": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 20, "bases": 0, "doc": 26}, "icepool.Population.is_empty": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 14, "bases": 0, "doc": 12}, "icepool.Population.min_outcome": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 17, "bases": 0, "doc": 6}, "icepool.Population.max_outcome": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 17, "bases": 0, "doc": 6}, "icepool.Population.nearest": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 87, "bases": 0, "doc": 84}, "icepool.Population.zero": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 23, "bases": 0, "doc": 56}, "icepool.Population.zero_outcome": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 17, "bases": 0, "doc": 28}, "icepool.Population.quantity": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 125, "bases": 0, "doc": 66}, 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+ /** pdoc search index */const docs = {"version": "0.9.5", "fields": ["qualname", "fullname", "annotation", "default_value", "signature", "bases", "doc"], "ref": "fullname", "documentStore": {"docs": {"icepool": {"fullname": "icepool", "modulename": "icepool", "kind": "module", "doc": "Package for computing dice and card probabilities.
\n\nStarting with v0.25.1, you can replace latest in the URL with an old version\nnumber to get the documentation for that version.
\n\nSee this JupyterLite distribution\nfor examples.
\n\nVisit the project page.
\n\nGeneral conventions:
\n\n\n- Instances are immutable (apart from internal caching). Anything that looks\nlike it mutates an instance actually returns a separate instance with the\nchange.
\n
\n"}, "icepool.d": {"fullname": "icepool.d", "modulename": "icepool", "qualname": "d", "kind": "function", "doc": "A standard die, uniformly distributed from 1 to sides inclusive.
\n\nDon't confuse this with icepool.Die():
\n\n\nicepool.Die([6]): A Die that always rolls the integer 6.icepool.d(6): A d6.
\n\nYou can also import individual standard dice from the icepool module, e.g.\nfrom icepool import d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.z": {"fullname": "icepool.z", "modulename": "icepool", "qualname": "z", "kind": "function", "doc": "A die uniformly distributed from 0 to sides - 1 inclusive.
\n\nEqual to d(sides) - 1.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.coin": {"fullname": "icepool.coin", "modulename": "icepool", "qualname": "coin", "kind": "function", "doc": "A Die that rolls True with probability n / d, and False otherwise.
\n\nIf n <= 0 or n >= d the result will have only one outcome.
\n\nArguments:
\n\n\n- n: An int numerator, or a non-integer probability.
\n- d: An int denominator. Should not be provided if the first argument is\nnot an int.
\n
\n", "signature": "(\tn: int | float | fractions.Fraction,\td: int = 1,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[bool]:", "funcdef": "def"}, "icepool.stochastic_round": {"fullname": "icepool.stochastic_round", "modulename": "icepool", "qualname": "stochastic_round", "kind": "function", "doc": "Randomly rounds a value up or down to the nearest integer according to the two distances.
\n\nSpecificially, rounds x up with probability x - floor(x) and down\notherwise, producing a Die with up to two outcomes.
\n\nArguments:
\n\n\n- max_denominator: If provided, each rounding will be performed\nusing
fractions.Fraction.limit_denominator(max_denominator).\nOtherwise, the rounding will be performed without\nlimit_denominator. \n
\n", "signature": "(\tx,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.one_hot": {"fullname": "icepool.one_hot", "modulename": "icepool", "qualname": "one_hot", "kind": "function", "doc": "A Die with Vector outcomes with one element set to True uniformly at random and the rest False.
\n\nThis is an easy (if somewhat expensive) way of representing how many dice\nin a pool rolled each number. For example, the outcomes of 10 @ one_hot(6)\nare the (ones, twos, threes, fours, fives, sixes) rolled in 10d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[tuple[bool, ...]]:", "funcdef": "def"}, "icepool.Outcome": {"fullname": "icepool.Outcome", "modulename": "icepool", "qualname": "Outcome", "kind": "class", "doc": "Protocol to attempt to verify that outcome types are hashable and sortable.
\n\nFar from foolproof, e.g. it cannot enforce total ordering.
\n", "bases": "typing.Hashable, typing.Protocol[-T_contra]"}, "icepool.Die": {"fullname": "icepool.Die", "modulename": "icepool", "qualname": "Die", "kind": "class", "doc": "Sampling with replacement. Quantities represent weights.
\n\nDice are immutable. Methods do not modify the Die in-place;\nrather they return a Die representing the result.
\n\nIt's also possible to have \"empty\" dice with no outcomes at all,\nthough these have little use other than being sentinel values.
\n", "bases": "icepool.population.base.Population[+T_co]"}, "icepool.Die.__init__": {"fullname": "icepool.Die.__init__", "modulename": "icepool", "qualname": "Die.__init__", "kind": "function", "doc": "Constructor for a Die.
\n\nDon't confuse this with d():
\n\n\nDie([6]): A Die that always rolls the int 6.d(6): A d6.
\n\nAlso, don't confuse this with Pool():
\n\n\nDie([1, 2, 3, 4, 5, 6]): A d6.Pool([1, 2, 3, 4, 5, 6]): A Pool of six dice that always rolls one\nof each number.
\n\nHere are some different ways of constructing a d6:
\n\n\n- Just import it:
from icepool import d6 \n- Use the
d() function: icepool.d(6) \n- Use a d6 that you already have:
Die(d6) or Die([d6]) \n- Mix a d3 and a d3+3:
Die([d3, d3+3]) \n- Use a dict:
Die({1:1, 2:1, 3:1, 4:1, 5:1, 6:1}) \n- Give the faces as a sequence:
Die([1, 2, 3, 4, 5, 6]) \n
\n\nAll quantities must be non-negative. Outcomes with zero quantity will be\nomitted.
\n\nSeveral methods and functions foward **kwargs to this constructor.\nHowever, these only affect the construction of the returned or yielded\ndice. Any other implicit conversions of arguments or operands to dice\nwill be done with the default keyword arguments.
\n\nEXPERIMENTAL: Use icepool.Again to roll the dice again, usually with\nsome modification. See the Again documentation for details.
\n\nDenominator: For a flat set of outcomes, the denominator is just the\nsum of the corresponding quantities. If the outcomes themselves have\nsecondary denominators, then the overall denominator will be minimized\nwhile preserving the relative weighting of the primary outcomes.
\n\nArguments:
\n\n\n\nRaises:
\n\n\n- ValueError:
None is not a valid outcome for a Die. \n
\n", "signature": "(\toutcomes: Union[Sequence, Mapping[Any, int]],\ttimes: Union[Sequence[int], int] = 1,\t*,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: icepool.typing.Outcome | icepool.population.die.Die | icepool.typing.RerollType | None = None)"}, "icepool.Die.unary_operator": {"fullname": "icepool.Die.unary_operator", "modulename": "icepool", "qualname": "Die.unary_operator", "kind": "function", "doc": "Performs the unary operation on the outcomes.
\n\nThis is used for the standard unary operators\n-, +, abs, ~, round, trunc, floor, ceil\nas well as the additional methods\nzero, bool.
\n\nThis is NOT used for the [] operator; when used directly, this is\ninterpreted as a Mapping operation and returns the count corresponding\nto a given outcome. See marginals() for applying the [] operator to\noutcomes.
\n\nReturns:
\n\n\n A Die representing the result.
\n
\n\nRaises:
\n\n\n- ValueError: If tuples are of mismatched length.
\n
\n", "signature": "(\tself: icepool.population.die.Die[+T_co],\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.binary_operator": {"fullname": "icepool.Die.binary_operator", "modulename": "icepool", "qualname": "Die.binary_operator", "kind": "function", "doc": "Performs the operation on pairs of outcomes.
\n\nBy the time this is called, the other operand has already been\nconverted to a Die.
\n\nIf one side of a binary operator is a tuple and the other is not, the\nbinary operator is applied to each element of the tuple with the\nnon-tuple side. For example, the following are equivalent:
\n\n\n
cartesian_product(d6, d8) * 2\ncartesian_product(d6 * 2, d8 * 2)\n
\n
This is used for the standard binary operators\n+, -, *, /, //, %, **, <<, >>, &, |, ^\nand the standard binary comparators\n<, <=, >=, >, ==, !=, cmp.
\n\n== and != additionally set the truth value of the Die according to\nwhether the dice themselves are the same or not.
\n\nThe @ operator does NOT use this method directly.\nIt rolls the left Die, which must have integer outcomes,\nthen rolls the right Die that many times and sums the outcomes.
\n\nReturns:
\n\n\n A Die representing the result.
\n
\n\nRaises:
\n\n\n- ValueError: If tuples are of mismatched length within one of the\ndice or between the dice.
\n
\n", "signature": "(\tself,\tother: icepool.population.die.Die,\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.keys": {"fullname": "icepool.Die.keys", "modulename": "icepool", "qualname": "Die.keys", "kind": "function", "doc": "The outcomes within the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Die.values": {"fullname": "icepool.Die.values", "modulename": "icepool", "qualname": "Die.values", "kind": "function", "doc": "The quantities within the population in outcome order.
\n", "signature": "(self) -> icepool.collection.counts.CountsValuesView:", "funcdef": "def"}, "icepool.Die.items": {"fullname": "icepool.Die.items", "modulename": "icepool", "qualname": "Die.items", "kind": "function", "doc": "The (outcome, quantity)s of the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsItemsView[+T_co]:", "funcdef": "def"}, "icepool.Die.simplify": {"fullname": "icepool.Die.simplify", "modulename": "icepool", "qualname": "Die.simplify", "kind": "function", "doc": "Divides all quantities by their greatest common denominator.
\n", "signature": "(self) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.reroll": {"fullname": "icepool.Die.reroll", "modulename": "icepool", "qualname": "Die.reroll", "kind": "function", "doc": "Rerolls the given outcomes.
\n\nArguments:
\n\n\n- which: Selects which outcomes to reroll. Options:\n
\n- A collection of outcomes to reroll.
\n- A callable that takes an outcome and returns
True if it\nshould be rerolled. \n- If not provided, the min outcome will be rerolled.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum number of times to reroll.\nIf
None, rerolls an unlimited number of times. \n
\n\nReturns:
\n\n\n A Die representing the reroll.\n If the reroll would never terminate, the result has no outcomes.
\n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None,\tdepth: Union[int, Literal['inf']]) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.filter": {"fullname": "icepool.Die.filter", "modulename": "icepool", "qualname": "Die.filter", "kind": "function", "doc": "Rerolls until getting one of the given outcomes.
\n\nEssentially the complement of reroll().
\n\nArguments:
\n\n\n- which: Selects which outcomes to reroll until. Options:\n
\n- A callable that takes an outcome and returns
True if it\nshould be accepted. \n- A collection of outcomes to reroll until.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum number of times to reroll.\nIf
None, rerolls an unlimited number of times. \n
\n\nReturns:
\n\n\n A Die representing the reroll.\n If the reroll would never terminate, the result has no outcomes.
\n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co]],\t/,\t*,\tstar: bool | None = None,\tdepth: Union[int, Literal['inf']]) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.split": {"fullname": "icepool.Die.split", "modulename": "icepool", "qualname": "Die.split", "kind": "function", "doc": "Splits this die into one containing selected items and another containing the rest.
\n\nThe total denominator is preserved.
\n\nEquivalent to self.filter(), self.reroll().
\n\nArguments:
\n\n\n- which: Selects which outcomes to reroll until. Options:\n
\n- A callable that takes an outcome and returns
True if it\nshould be accepted. \n- A collection of outcomes to reroll until.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None):", "funcdef": "def"}, "icepool.Die.truncate": {"fullname": "icepool.Die.truncate", "modulename": "icepool", "qualname": "Die.truncate", "kind": "function", "doc": "Truncates the outcomes of this Die to the given range.
\n\nThe endpoints are included in the result if applicable.\nIf one of the arguments is not provided, that side will not be truncated.
\n\nThis effectively rerolls outcomes outside the given range.\nIf instead you want to replace those outcomes with the nearest endpoint,\nuse clip().
\n\nNot to be confused with trunc(die), which performs integer truncation\non each outcome.
\n", "signature": "(\tself,\tmin_outcome=None,\tmax_outcome=None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.clip": {"fullname": "icepool.Die.clip", "modulename": "icepool", "qualname": "Die.clip", "kind": "function", "doc": "Clips the outcomes of this Die to the given values.
\n\nThe endpoints are included in the result if applicable.\nIf one of the arguments is not provided, that side will not be clipped.
\n\nThis is not the same as rerolling outcomes beyond this range;\nthe outcome is simply adjusted to fit within the range.\nThis will typically cause some quantity to bunch up at the endpoint(s).\nIf you want to reroll outcomes beyond this range, use truncate().
\n", "signature": "(\tself,\tmin_outcome=None,\tmax_outcome=None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.map": {"fullname": "icepool.Die.map", "modulename": "icepool", "qualname": "Die.map", "kind": "function", "doc": "Maps outcomes of the Die to other outcomes.
\n\nThis is also useful for representing processes.
\n\nAs icepool.map(repl, self, ...).
\n", "signature": "(\tself,\trepl: Union[Callable[..., Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[+T_co, Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\t/,\t*extra_args,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\ttime_limit: Union[int, Literal['inf'], NoneType] = None,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.map_and_time": {"fullname": "icepool.Die.map_and_time", "modulename": "icepool", "qualname": "Die.map_and_time", "kind": "function", "doc": "Repeatedly map outcomes of the state to other outcomes, while also\ncounting timesteps.
\n\nThis is useful for representing processes.
\n\nAs map_and_time(repl, self, ...).
\n", "signature": "(\tself,\trepl: Union[Callable[..., Union[+T_co, icepool.population.die.Die[+T_co], icepool.typing.RerollType]], Mapping[+T_co, Union[+T_co, icepool.population.die.Die[+T_co], icepool.typing.RerollType]]],\t/,\t*extra_args,\tstar: bool | None = None,\ttime_limit: int) -> icepool.population.die.Die[tuple[+T_co, int]]:", "funcdef": "def"}, "icepool.Die.time_to_sum": {"fullname": "icepool.Die.time_to_sum", "modulename": "icepool", "qualname": "Die.time_to_sum", "kind": "function", "doc": "The number of rolls until the cumulative sum is greater or equal to the target.
\n\nArguments:
\n\n\n- target: The number to stop at once reached.
\n- max_time: The maximum number of rolls to run.\nIf the sum is not reached, the outcome is determined by
dnf. \n- dnf: What time to assign in cases where the target was not reached\nin
max_time. If not provided, this is set to max_time.\ndnf=icepool.Reroll will remove this case from the result,\neffectively rerolling it. \n
\n", "signature": "(\tself: icepool.population.die.Die[int],\ttarget: int,\t/,\tmax_time: int,\tdnf: int | icepool.typing.RerollType | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.mean_time_to_sum": {"fullname": "icepool.Die.mean_time_to_sum", "modulename": "icepool", "qualname": "Die.mean_time_to_sum", "kind": "function", "doc": "The mean number of rolls until the cumulative sum is greater or equal to the target.
\n\nArguments:
\n\n\n- target: The target sum.
\n
\n\nRaises:
\n\n\n- ValueError: If
self has negative outcomes. \n- ZeroDivisionError: If
self.mean() == 0. \n
\n", "signature": "(\tself: icepool.population.die.Die[int],\ttarget: int,\t/) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Die.explode": {"fullname": "icepool.Die.explode", "modulename": "icepool", "qualname": "Die.explode", "kind": "function", "doc": "Causes outcomes to be rolled again and added to the total.
\n\nArguments:
\n\n\n- which: Which outcomes to explode. Options:\n
\n- A single outcome to explode.
\n- An collection of outcomes to explode.
\n- A callable that takes an outcome and returns
True if it\nshould be exploded. \n- If not supplied, the max outcome will explode.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum number of additional dice to roll, not counting\nthe initial roll.\nIf not supplied, a default value will be used.
\n- end: Once
depth is reached, further explosions will be treated\nas this value. By default, a zero value will be used.\nicepool.Reroll will make one extra final roll, rerolling until\na non-exploding outcome is reached. \n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None,\tdepth: int = 9,\tend=None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.if_else": {"fullname": "icepool.Die.if_else", "modulename": "icepool", "qualname": "Die.if_else", "kind": "function", "doc": "Ternary conditional operator.
\n\nThis replaces truthy outcomes with the first argument and falsy outcomes\nwith the second argument.
\n\nArguments:
\n\n\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tself,\toutcome_if_true: Union[~U, icepool.population.die.Die[~U]],\toutcome_if_false: Union[~U, icepool.population.die.Die[~U]],\t*,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~U, icepool.population.die.Die[~U], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~U]:", "funcdef": "def"}, "icepool.Die.is_in": {"fullname": "icepool.Die.is_in", "modulename": "icepool", "qualname": "Die.is_in", "kind": "function", "doc": "A die that returns True iff the roll of the die is contained in the target.
\n", "signature": "(self, target: Container[+T_co], /) -> icepool.population.die.Die[bool]:", "funcdef": "def"}, "icepool.Die.count": {"fullname": "icepool.Die.count", "modulename": "icepool", "qualname": "Die.count", "kind": "function", "doc": "Roll this dice a number of times and count how many are in the target.
\n", "signature": "(\tself,\trolls: int,\ttarget: Container[+T_co],\t/) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.sequence": {"fullname": "icepool.Die.sequence", "modulename": "icepool", "qualname": "Die.sequence", "kind": "function", "doc": "Possible sequences produced by rolling this die a number of times.
\n\nThis is extremely expensive computationally. If possible, use reduce()\ninstead; if you don't care about order, Die.pool() is better.
\n", "signature": "(self, rolls: int) -> icepool.population.die.Die[tuple[+T_co, ...]]:", "funcdef": "def"}, "icepool.Die.pool": {"fullname": "icepool.Die.pool", "modulename": "icepool", "qualname": "Die.pool", "kind": "function", "doc": "Creates a Pool from this Die.
\n\nYou might subscript the pool immediately afterwards, e.g.\nd6.pool(5)[-1, ..., 1] takes the difference between the highest and\nlowest of 5d6.
\n\nArguments:
\n\n\n- rolls: The number of copies of this
Die to put in the pool.\nOr, a sequence of one int per die acting as\nkeep_tuple. Note that ... cannot be used in the\nargument to this method, as the argument determines the size of\nthe pool. \n
\n", "signature": "(\tself,\trolls: Union[int, Sequence[int]] = 1,\t/) -> icepool.generator.pool.Pool[+T_co]:", "funcdef": "def"}, "icepool.Die.keep": {"fullname": "icepool.Die.keep", "modulename": "icepool", "qualname": "Die.keep", "kind": "function", "doc": "Selects elements after drawing and sorting and sums them.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll.
\n- index: One of the following:
\n\n- An
int. This will count only the roll at the specified index. \n
- In this case, the result is a
Die rather than a generator. \n\n- A
slice. The selected dice are counted once each. \n\n
\n- A sequence of
ints with length equal to rolls.\nEach roll is counted that many times, which could be multiple or\nnegative times. \n
\n\nUp to one ... (Ellipsis) may be used. If no ... is used,\nthe rolls argument may be omitted.
\n\n... will be replaced with a number of zero counts in order\n\n
to make up any missing elements compared to rolls.\nThis number may be \"negative\" if more ints are provided than\nrolls. Specifically:
\n\n\n- If
index is shorter than rolls, ...\nacts as enough zero counts to make up the difference.\nE.g. (1, ..., 1) on five dice would act as\n(1, 0, 0, 0, 1). \n- If
index has length equal to rolls, ... has no effect.\nE.g. (1, ..., 1) on two dice would act as (1, 1). \n- If
index is longer than rolls and ... is on one side,\nelements will be dropped from index on the side with ....\nE.g. (..., 1, 2, 3) on two dice would act as (2, 3). \n- If
index is longer than rolls and ...\nis in the middle, the counts will be as the sum of two\none-sided ....\nE.g. (-1, ..., 1) acts like (-1, ...) plus (..., 1).\nIf rolls was 1 this would have the -1 and 1 cancel each other out. \n
\n", "signature": "(\tself,\trolls: Union[int, Sequence[int]],\tindex: Union[slice, Sequence[int | ellipsis], int, NoneType] = None,\t/) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.lowest": {"fullname": "icepool.Die.lowest", "modulename": "icepool", "qualname": "Die.lowest", "kind": "function", "doc": "Roll several of this Die and return the lowest result, or the sum of some of the lowest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll. All dice will have the same\noutcomes as
self. \n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single lowest die will be taken.
\n- If only
keep is provided, the keep lowest dice will be summed. \n- If only
drop is provided, the drop lowest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop lowest dice will be dropped, then\nthe next keep lowest dice will be summed. \n
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.highest": {"fullname": "icepool.Die.highest", "modulename": "icepool", "qualname": "Die.highest", "kind": "function", "doc": "Roll several of this Die and return the highest result, or the sum of some of the highest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll.
\n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single highest die will be taken.
\n- If only
keep is provided, the keep highest dice will be summed. \n- If only
drop is provided, the drop highest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop highest dice will be dropped, then\nthe next keep highest dice will be summed. \n
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.middle": {"fullname": "icepool.Die.middle", "modulename": "icepool", "qualname": "Die.middle", "kind": "function", "doc": "Roll several of this Die and sum the sorted results in the middle.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- rolls: The number of dice to roll.
\n- keep: The number of outcomes to sum. If this is greater than the\ncurrent keep_size, all are kept.
\n- tie: What to do if
keep is odd but the current keep_size\nis even, or vice versa.\n\n- 'error' (default): Raises
IndexError. \n- 'high': The higher outcome is taken.
\n- 'low': The lower outcome is taken.
\n
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int = 1,\t*,\ttie: Literal['error', 'high', 'low'] = 'error') -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.map_to_pool": {"fullname": "icepool.Die.map_to_pool", "modulename": "icepool", "qualname": "Die.map_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Maps outcomes of this Die to Pools, creating a MultisetGenerator.
\n\nAs icepool.map_to_pool(repl, self, ...).
\n\nIf no argument is provided, the outcomes will be used to construct a\nmixture of pools directly, similar to the inverse of pool.expand().\nNote that this is not particularly efficient since it does not make much\nuse of dynamic programming.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a
Pool (or something convertible to such). \n- A mapping from old outcomes to
Pool \n(or something convertible to such).\nIn this case args must have exactly one element.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value icepool.Reroll will reroll that old outcome. \n
\n- star: If
True, the first of the args will be unpacked before \ngiving them to repl.\nIf not provided, it will be guessed based on the signature of \nrepl and the number of arguments. \n- denominator: If provided, the denominator of the result will be this\nvalue. Otherwise it will be the minimum to correctly weight the\npools.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n\nRaises:
\n\n\n- ValueError: If
denominator cannot be made consistent with the \nresulting mixture of pools. \n
\n", "signature": "(\tself,\trepl: Optional[Callable[..., Union[Sequence[Union[icepool.population.die.Die[~U], ~U]], Mapping[icepool.population.die.Die[~U], int], Mapping[~U, int], icepool.typing.RerollType]]] = None,\t/,\t*extra_args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\tdenominator: int | None = None) -> icepool.generator.multiset_generator.MultisetGenerator[~U, tuple[int]]:", "funcdef": "def"}, "icepool.Die.explode_to_pool": {"fullname": "icepool.Die.explode_to_pool", "modulename": "icepool", "qualname": "Die.explode_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Causes outcomes to be rolled again, keeping that outcome as an individual die in a pool.
\n\nArguments:
\n\n\n- rolls: The number of initial dice.
\n- which: Which outcomes to explode. Options:\n
\n- A single outcome to explode.
\n- An collection of outcomes to explode.
\n- A callable that takes an outcome and returns
True if it\nshould be exploded. \n- If not supplied, the max outcome will explode.
\n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- depth: The maximum depth of explosions for an individual dice.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n", "signature": "(\tself,\trolls: int,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\t/,\t*,\tstar: bool | None = None,\tdepth: int = 9) -> icepool.generator.multiset_generator.MultisetGenerator[+T_co, tuple[int]]:", "funcdef": "def"}, "icepool.Die.reroll_to_pool": {"fullname": "icepool.Die.reroll_to_pool", "modulename": "icepool", "qualname": "Die.reroll_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Applies a limited number of rerolls shared across a pool.
\n\nEach die can only be rerolled once (effectively depth=1), and no more\nthan max_rerolls dice may be rerolled.
\n\nArguments:
\n\n\n- rolls: How many dice in the pool.
\n- which: Selects which outcomes are eligible to be rerolled. Options:\n
\n- A collection of outcomes to reroll.
\n- A callable that takes an outcome and returns
True if it\ncould be rerolled. \n
\n- max_rerolls: The maximum number of dice to reroll. \nNote that each die can only be rerolled once, so if the number \nof eligible dice is less than this, the excess rerolls have no\neffect.
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
which.\nIf not provided, this will be guessed based on the function\nsignature. \n- mode: How dice are selected for rerolling if there are more eligible\ndice than
max_rerolls. Options:\n\n'random' (default): Eligible dice will be chosen uniformly\nat random.'lowest': The lowest eligible dice will be rerolled.'highest': The highest eligible dice will be rerolled.'drop': All dice that ended up on an outcome selected by \nwhich will be dropped. This includes both dice that rolled\ninto which initially and were not rerolled, and dice that\nwere rerolled but rolled into which again. This can be\nconsiderably more efficient than the other modes.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n", "signature": "(\tself,\trolls: int,\twhich: Union[Callable[..., bool], Collection[+T_co]],\t/,\tmax_rerolls: int,\t*,\tstar: bool | None = None,\tmode: Literal['random', 'lowest', 'highest', 'drop'] = 'random') -> icepool.generator.multiset_generator.MultisetGenerator[+T_co, tuple[int]]:", "funcdef": "def"}, "icepool.Die.abs": {"fullname": "icepool.Die.abs", "modulename": "icepool", "qualname": "Die.abs", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.round": {"fullname": "icepool.Die.round", "modulename": "icepool", "qualname": "Die.round", "kind": "function", "doc": "\n", "signature": "(self, ndigits: int | None = None) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.stochastic_round": {"fullname": "icepool.Die.stochastic_round", "modulename": "icepool", "qualname": "Die.stochastic_round", "kind": "function", "doc": "Randomly rounds outcomes up or down to the nearest integer according to the two distances.
\n\nSpecificially, rounds x up with probability x - floor(x) and down\notherwise.
\n\nArguments:
\n\n\n- max_denominator: If provided, each rounding will be performed\nusing
fractions.Fraction.limit_denominator(max_denominator).\nOtherwise, the rounding will be performed without\nlimit_denominator. \n
\n", "signature": "(\tself,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.trunc": {"fullname": "icepool.Die.trunc", "modulename": "icepool", "qualname": "Die.trunc", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.floor": {"fullname": "icepool.Die.floor", "modulename": "icepool", "qualname": "Die.floor", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.ceil": {"fullname": "icepool.Die.ceil", "modulename": "icepool", "qualname": "Die.ceil", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.population.die.Die:", "funcdef": "def"}, "icepool.Die.cmp": {"fullname": "icepool.Die.cmp", "modulename": "icepool", "qualname": "Die.cmp", "kind": "function", "doc": "A Die with outcomes 1, -1, and 0.
\n\nThe quantities are equal to the positive outcome of self > other,\nself < other, and the remainder respectively.
\n", "signature": "(self, other) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.sign": {"fullname": "icepool.Die.sign", "modulename": "icepool", "qualname": "Die.sign", "kind": "function", "doc": "Outcomes become 1 if greater than zero(), -1 if less than zero(), and 0 otherwise.
\n\nNote that for floats, +0.0, -0.0, and nan all become 0.
\n", "signature": "(self) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.equals": {"fullname": "icepool.Die.equals", "modulename": "icepool", "qualname": "Die.equals", "kind": "function", "doc": "True iff both dice have the same outcomes and quantities.
\n\nThis is False if other is not a Die, even if it would convert\nto an equal Die.
\n\nTruth value does NOT matter.
\n\nIf one Die has a zero-quantity outcome and the other Die does not\ncontain that outcome, they are treated as unequal by this function.
\n\nThe == and != operators have a dual purpose; they return a Die\nwith a truth value determined by this method.\nOnly dice returned by these methods have a truth value. The data of\nthese dice is lazily evaluated since the caller may only be interested\nin the Die value or the truth value.
\n\nArguments:
\n\n\n- simplify: If
True, the dice will be simplified before comparing.\nOtherwise, e.g. a 2:2 coin is not equals() to a 1:1 coin. \n
\n", "signature": "(self, other, *, simplify: bool = False) -> bool:", "funcdef": "def"}, "icepool.Population": {"fullname": "icepool.Population", "modulename": "icepool", "qualname": "Population", "kind": "class", "doc": "A mapping from outcomes to int quantities.
\n\nOutcomes with each instance must be hashable and totally orderable.
\n\nSubclasses include Die and Deck.
\n", "bases": "abc.ABC, typing.Generic[+T_co], typing.Mapping[typing.Any, int]"}, "icepool.Population.keys": {"fullname": "icepool.Population.keys", "modulename": "icepool", "qualname": "Population.keys", "kind": "function", "doc": "The outcomes within the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Population.values": {"fullname": "icepool.Population.values", "modulename": "icepool", "qualname": "Population.values", "kind": "function", "doc": "The quantities within the population in outcome order.
\n", "signature": "(self) -> icepool.collection.counts.CountsValuesView:", "funcdef": "def"}, "icepool.Population.items": {"fullname": "icepool.Population.items", "modulename": "icepool", "qualname": "Population.items", "kind": "function", "doc": "The (outcome, quantity)s of the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsItemsView[+T_co]:", "funcdef": "def"}, "icepool.Population.outcomes": {"fullname": "icepool.Population.outcomes", "modulename": "icepool", "qualname": "Population.outcomes", "kind": "function", "doc": "The outcomes of the mapping in ascending order.
\n\nThese are also the keys of the mapping.\nPrefer to use the name outcomes.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Population.common_outcome_length": {"fullname": "icepool.Population.common_outcome_length", "modulename": "icepool", "qualname": "Population.common_outcome_length", "kind": "function", "doc": "The common length of all outcomes.
\n\nIf outcomes have no lengths or different lengths, the result is None.
\n", "signature": "(self) -> int | None:", "funcdef": "def"}, "icepool.Population.is_empty": {"fullname": "icepool.Population.is_empty", "modulename": "icepool", "qualname": "Population.is_empty", "kind": "function", "doc": "True iff this population has no outcomes.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.Population.min_outcome": {"fullname": "icepool.Population.min_outcome", "modulename": "icepool", "qualname": "Population.min_outcome", "kind": "function", "doc": "The least outcome.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.max_outcome": {"fullname": "icepool.Population.max_outcome", "modulename": "icepool", "qualname": "Population.max_outcome", "kind": "function", "doc": "The greatest outcome.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.nearest": {"fullname": "icepool.Population.nearest", "modulename": "icepool", "qualname": "Population.nearest", "kind": "function", "doc": "The nearest outcome in this population fitting the comparison.
\n\nArguments:
\n\n\n- comparison: The comparison which the result must fit. For example,\n'<=' would find the greatest outcome that is not greater than\nthe argument.
\n- outcome: The outcome to compare against.
\n
\n\nReturns:
\n\n\n The nearest outcome fitting the comparison, or None if there is\n no such outcome.
\n
\n", "signature": "(\tself,\tcomparison: Literal['<=', '<', '>=', '>'],\toutcome,\t/) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.zero": {"fullname": "icepool.Population.zero", "modulename": "icepool", "qualname": "Population.zero", "kind": "function", "doc": "Zeros all outcomes of this population.
\n\nThis is done by multiplying all outcomes by 0.
\n\nThe result will have the same denominator.
\n\nRaises:
\n\n\n- ValueError: If the zeros did not resolve to a single outcome.
\n
\n", "signature": "(self: ~C) -> ~C:", "funcdef": "def"}, "icepool.Population.zero_outcome": {"fullname": "icepool.Population.zero_outcome", "modulename": "icepool", "qualname": "Population.zero_outcome", "kind": "function", "doc": "A zero-outcome for this population.
\n\nE.g. 0 for a Population whose outcomes are ints.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.quantity": {"fullname": "icepool.Population.quantity", "modulename": "icepool", "qualname": "Population.quantity", "kind": "function", "doc": "The quantity of a single outcome.
\n\nA comparison can be provided, in which case this returns the total\nquantity fitting the comparison.
\n\nArguments:
\n\n\n- comparison: The comparison to use. This can be omitted, in which\ncase it is treated as '=='.
\n- outcome: The outcome to query.
\n
\n", "signature": "(\tself,\tcomparison: Union[Literal['==', '!=', '<=', '<', '>=', '>'], Hashable],\toutcome: Optional[Hashable] = None,\t/) -> int:", "funcdef": "def"}, "icepool.Population.quantities": {"fullname": "icepool.Population.quantities", "modulename": "icepool", "qualname": "Population.quantities", "kind": "function", "doc": "The quantities of the mapping in sorted order.
\n\nFor example, '<=' gives the CDF.
\n\nArguments:
\n\n\n- comparison: Optional. If omitted, this defaults to '=='.
\n
\n", "signature": "(\tself,\tcomparison: Optional[Literal['==', '!=', '<=', '<', '>=', '>']] = None,\t/) -> Union[icepool.collection.counts.CountsValuesView, Sequence[int]]:", "funcdef": "def"}, "icepool.Population.denominator": {"fullname": "icepool.Population.denominator", "modulename": "icepool", "qualname": "Population.denominator", "kind": "function", "doc": "The sum of all quantities (e.g. weights or duplicates).
\n\nFor the number of unique outcomes, use len().
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Population.multiply_quantities": {"fullname": "icepool.Population.multiply_quantities", "modulename": "icepool", "qualname": "Population.multiply_quantities", "kind": "function", "doc": "Multiplies all quantities by an integer.
\n", "signature": "(self: ~C, scale: int, /) -> ~C:", "funcdef": "def"}, "icepool.Population.divide_quantities": {"fullname": "icepool.Population.divide_quantities", "modulename": "icepool", "qualname": "Population.divide_quantities", "kind": "function", "doc": "Divides all quantities by an integer, rounding down.
\n\nResulting zero quantities are dropped.
\n", "signature": "(self: ~C, divisor: int, /) -> ~C:", "funcdef": "def"}, "icepool.Population.modulo_quantities": {"fullname": "icepool.Population.modulo_quantities", "modulename": "icepool", "qualname": "Population.modulo_quantities", "kind": "function", "doc": "Modulus of all quantities with an integer.
\n", "signature": "(self: ~C, divisor: int, /) -> ~C:", "funcdef": "def"}, "icepool.Population.pad_to_denominator": {"fullname": "icepool.Population.pad_to_denominator", "modulename": "icepool", "qualname": "Population.pad_to_denominator", "kind": "function", "doc": "Changes the denominator to a target number by changing the quantity of a specified outcome.
\n\nArguments:
\n\n\ntarget: The denominator of the result.outcome: The outcome whose quantity will be adjusted.
\n\nReturns:
\n\n\n A Population like self but with the quantity of outcome\n adjusted so that the overall denominator is equal to target.\n If the denominator is reduced to zero, it will be removed.
\n
\n\nRaises:
\n\n\nValueError if this would require the quantity of the specified- outcome to be negative.
\n
\n", "signature": "(self: ~C, target: int, /, outcome: Hashable) -> ~C:", "funcdef": "def"}, "icepool.Population.probability": {"fullname": "icepool.Population.probability", "modulename": "icepool", "qualname": "Population.probability", "kind": "function", "doc": "The total probability of outcomes fitting a comparison.
\n", "signature": "(\tself,\tcomparison: Union[Literal['==', '!=', '<=', '<', '>=', '>'], Hashable],\toutcome: Optional[Hashable] = None,\t/,\t*,\tpercent: bool = False) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.probabilities": {"fullname": "icepool.Population.probabilities", "modulename": "icepool", "qualname": "Population.probabilities", "kind": "function", "doc": "The total probabilities fitting the comparison for each outcome in sorted order.
\n\nFor example, '<=' gives the CDF.
\n\nArguments:
\n\n\n- comparison: Optional. If omitted, this defaults to '=='.
\n
\n", "signature": "(\tself,\tcomparison: Optional[Literal['==', '!=', '<=', '<', '>=', '>']] = None,\t/,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.mode": {"fullname": "icepool.Population.mode", "modulename": "icepool", "qualname": "Population.mode", "kind": "function", "doc": "A tuple containing the most common outcome(s) of the population.
\n\nThese are sorted from lowest to highest.
\n", "signature": "(self) -> tuple:", "funcdef": "def"}, "icepool.Population.modal_quantity": {"fullname": "icepool.Population.modal_quantity", "modulename": "icepool", "qualname": "Population.modal_quantity", "kind": "function", "doc": "The highest quantity of any single outcome.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Population.kolmogorov_smirnov": {"fullname": "icepool.Population.kolmogorov_smirnov", "modulename": "icepool", "qualname": "Population.kolmogorov_smirnov", "kind": "function", "doc": "Kolmogorov\u2013Smirnov statistic. The maximum absolute difference between CDFs.
\n", "signature": "(self, other: icepool.population.base.Population) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.cramer_von_mises": {"fullname": "icepool.Population.cramer_von_mises", "modulename": "icepool", "qualname": "Population.cramer_von_mises", "kind": "function", "doc": "Cram\u00e9r-von Mises statistic. The sum-of-squares difference between CDFs.
\n", "signature": "(self, other: icepool.population.base.Population) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.median": {"fullname": "icepool.Population.median", "modulename": "icepool", "qualname": "Population.median", "kind": "function", "doc": "The median, taking the mean in case of a tie.
\n\nThis will fail if the outcomes do not support division;\nin this case, use median_low or median_high instead.
\n", "signature": "(self):", "funcdef": "def"}, "icepool.Population.median_low": {"fullname": "icepool.Population.median_low", "modulename": "icepool", "qualname": "Population.median_low", "kind": "function", "doc": "The median, taking the lower in case of a tie.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.median_high": {"fullname": "icepool.Population.median_high", "modulename": "icepool", "qualname": "Population.median_high", "kind": "function", "doc": "The median, taking the higher in case of a tie.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.quantile": {"fullname": "icepool.Population.quantile", "modulename": "icepool", "qualname": "Population.quantile", "kind": "function", "doc": "The outcome n / d of the way through the CDF, taking the mean in case of a tie.
\n\nThis will fail if the outcomes do not support addition and division;\nin this case, use quantile_low or quantile_high instead.
\n", "signature": "(self, n: int, d: int = 100):", "funcdef": "def"}, "icepool.Population.quantile_low": {"fullname": "icepool.Population.quantile_low", "modulename": "icepool", "qualname": "Population.quantile_low", "kind": "function", "doc": "The outcome n / d of the way through the CDF, taking the lesser in case of a tie.
\n", "signature": "(self, n: int, d: int = 100) -> +T_co:", "funcdef": "def"}, "icepool.Population.quantile_high": {"fullname": "icepool.Population.quantile_high", "modulename": "icepool", "qualname": "Population.quantile_high", "kind": "function", "doc": "The outcome n / d of the way through the CDF, taking the greater in case of a tie.
\n", "signature": "(self, n: int, d: int = 100) -> +T_co:", "funcdef": "def"}, "icepool.Population.mean": {"fullname": "icepool.Population.mean", "modulename": "icepool", "qualname": "Population.mean", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.variance": {"fullname": "icepool.Population.variance", "modulename": "icepool", "qualname": "Population.variance", "kind": "function", "doc": "This is the population variance, not the sample variance.
\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.standard_deviation": {"fullname": "icepool.Population.standard_deviation", "modulename": "icepool", "qualname": "Population.standard_deviation", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.sd": {"fullname": "icepool.Population.sd", "modulename": "icepool", "qualname": "Population.sd", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.standardized_moment": {"fullname": "icepool.Population.standardized_moment", "modulename": "icepool", "qualname": "Population.standardized_moment", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float],\tk: int) -> float:", "funcdef": "def"}, "icepool.Population.skewness": {"fullname": "icepool.Population.skewness", "modulename": "icepool", "qualname": "Population.skewness", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.excess_kurtosis": {"fullname": "icepool.Population.excess_kurtosis", "modulename": "icepool", "qualname": "Population.excess_kurtosis", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[numbers.Rational] | icepool.population.base.Population[float]) -> float:", "funcdef": "def"}, "icepool.Population.entropy": {"fullname": "icepool.Population.entropy", "modulename": "icepool", "qualname": "Population.entropy", "kind": "function", "doc": "The entropy of a random sample from this population.
\n\nArguments:
\n\n\n- base: The logarithm base to use. Default is 2.0, which gives the \nentropy in bits.
\n
\n", "signature": "(self, base: float = 2.0) -> float:", "funcdef": "def"}, "icepool.Population.marginals": {"fullname": "icepool.Population.marginals", "modulename": "icepool", "qualname": "Population.marginals", "kind": "variable", "doc": "A property that applies the [] operator to outcomes.
\n\nFor example, population.marginals[:2] will marginalize the first two\nelements of sequence outcomes.
\n\nAttributes that do not start with an underscore will also be forwarded.\nFor example, population.marginals.x will marginalize the x attribute\nfrom e.g. namedtuple outcomes.
\n", "annotation": ": icepool.population.base.Population._Marginals[~C]"}, "icepool.Population.covariance": {"fullname": "icepool.Population.covariance", "modulename": "icepool", "qualname": "Population.covariance", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[tuple[numbers.Rational, ...]] | icepool.population.base.Population[tuple[float, ...]],\ti: int,\tj: int) -> fractions.Fraction | float:", "funcdef": "def"}, "icepool.Population.correlation": {"fullname": "icepool.Population.correlation", "modulename": "icepool", "qualname": "Population.correlation", "kind": "function", "doc": "\n", "signature": "(\tself: icepool.population.base.Population[tuple[numbers.Rational, ...]] | icepool.population.base.Population[tuple[float, ...]],\ti: int,\tj: int) -> float:", "funcdef": "def"}, "icepool.Population.to_one_hot": {"fullname": "icepool.Population.to_one_hot", "modulename": "icepool", "qualname": "Population.to_one_hot", "kind": "function", "doc": "Converts the outcomes of this population to a one-hot representation.
\n\nArguments:
\n\n\n- outcomes: If provided, each outcome will be mapped to a
Vector\nwhere the element at outcomes.index(outcome) is set to True\nand the rest to False, or all False if the outcome is not\nin outcomes.\nIf not provided, self.outcomes() is used. \n
\n", "signature": "(self: ~C, outcomes: Optional[Sequence[+T_co]] = None) -> ~C:", "funcdef": "def"}, "icepool.Population.sample": {"fullname": "icepool.Population.sample", "modulename": "icepool", "qualname": "Population.sample", "kind": "function", "doc": "A single random sample from this population.
\n\nNote that this is always \"with replacement\" even for Deck since\ninstances are immutable.
\n\nThis uses the standard random package and is not cryptographically\nsecure.
\n", "signature": "(self) -> +T_co:", "funcdef": "def"}, "icepool.Population.format": {"fullname": "icepool.Population.format", "modulename": "icepool", "qualname": "Population.format", "kind": "function", "doc": "Formats this mapping as a string.
\n\nformat_spec should start with the output format,\nwhich can be:
\n\n\nmd for Markdown (default)bbcode for BBCodecsv for comma-separated valueshtml for HTML
\n\nAfter this, you may optionally add a : followed by a series of\nrequested columns. Allowed columns are:
\n\n\no: Outcomes.*o: Outcomes, unpacked if applicable.q==, q<=, q>=: Quantities ==, <=, or >= each outcome.p==, p<=, p>=: Probabilities (0-1).%==, %<=, %>=: Probabilities (0%-100%).i==, i<=, i>=: EXPERIMENTAL: \"1 in N\".
\n\nColumns may optionally be separated using | characters.
\n\nThe default setting is equal to f'{die:md:*o|q==|%==}'. Here the \ncolumns are the outcomes (unpacked if applicable) the quantities, and \nthe probabilities. The quantities are omitted from the default columns \nif any individual quantity is 10**30 or greater.
\n", "signature": "(self, format_spec: str, /, **kwargs) -> str:", "funcdef": "def"}, "icepool.tupleize": {"fullname": "icepool.tupleize", "modulename": "icepool", "qualname": "tupleize", "kind": "function", "doc": "Returns the Cartesian product of the arguments as tuples or a Population thereof.
\n\nFor example:
\n\n\ntupleize(1, 2) would produce (1, 2).tupleize(d6, 0) would produce a Die with outcomes (1, 0), (2, 0),\n... (6, 0).tupleize(d6, d6) would produce a Die with outcomes (1, 1), (1, 2),\n... (6, 5), (6, 6).
\n\nIf Populations are provided, they must all be Die or all Deck and not\na mixture of the two.
\n\nReturns:
\n\n\n If none of the outcomes is a Population, the result is a tuple\n with one element per argument. Otherwise, the result is a Population\n of the same type as the input Population, and the outcomes are\n tuples with one element per argument.
\n
\n", "signature": "(\t*args: Union[~T, icepool.population.base.Population[~T]]) -> tuple[~T, ...] | icepool.population.base.Population[tuple[~T, ...]]:", "funcdef": "def"}, "icepool.vectorize": {"fullname": "icepool.vectorize", "modulename": "icepool", "qualname": "vectorize", "kind": "function", "doc": "Returns the Cartesian product of the arguments as Vectors or a Population thereof.
\n\nFor example:
\n\n\nvectorize(1, 2) would produce Vector(1, 2).vectorize(d6, 0) would produce a Die with outcomes Vector(1, 0),\nVector(2, 0), ... Vector(6, 0).vectorize(d6, d6) would produce a Die with outcomes Vector(1, 1),\nVector(1, 2), ... Vector(6, 5), Vector(6, 6).
\n\nIf Populations are provided, they must all be Die or all Deck and not\na mixture of the two.
\n\nReturns:
\n\n\n If none of the outcomes is a Population, the result is a Vector\n with one element per argument. Otherwise, the result is a Population\n of the same type as the input Population, and the outcomes are\n Vectors with one element per argument.
\n
\n", "signature": "(\t*args: Union[~T, icepool.population.base.Population[~T]]) -> Union[icepool.collection.vector.Vector[~T], icepool.population.base.Population[icepool.collection.vector.Vector[~T]]]:", "funcdef": "def"}, "icepool.Vector": {"fullname": "icepool.Vector", "modulename": "icepool", "qualname": "Vector", "kind": "class", "doc": "Immutable tuple-like class that applies most operators elementwise.
\n\nMay become a variadic generic type in the future.
\n", "bases": "icepool.typing.Outcome, typing.Sequence[+T_co]"}, "icepool.Vector.unary_operator": {"fullname": "icepool.Vector.unary_operator", "modulename": "icepool", "qualname": "Vector.unary_operator", "kind": "function", "doc": "Unary operators on Vector are applied elementwise.
\n\nThis is used for the standard unary operators\n-, +, abs, ~, round, trunc, floor, ceil
\n", "signature": "(\tself,\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.collection.vector.Vector[~U]:", "funcdef": "def"}, "icepool.Vector.abs": {"fullname": "icepool.Vector.abs", "modulename": "icepool", "qualname": "Vector.abs", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector[+T_co]:", "funcdef": "def"}, "icepool.Vector.round": {"fullname": "icepool.Vector.round", "modulename": "icepool", "qualname": "Vector.round", "kind": "function", "doc": "\n", "signature": "(self, ndigits: int | None = None) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.trunc": {"fullname": "icepool.Vector.trunc", "modulename": "icepool", "qualname": "Vector.trunc", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.floor": {"fullname": "icepool.Vector.floor", "modulename": "icepool", "qualname": "Vector.floor", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.ceil": {"fullname": "icepool.Vector.ceil", "modulename": "icepool", "qualname": "Vector.ceil", "kind": "function", "doc": "\n", "signature": "(self) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.binary_operator": {"fullname": "icepool.Vector.binary_operator", "modulename": "icepool", "qualname": "Vector.binary_operator", "kind": "function", "doc": "Binary operators on Vector are applied elementwise.
\n\nIf the other operand is also a Vector, the operator is applied to each\npair of elements from self and other. Both must have the same\nlength.
\n\nOtherwise the other operand is broadcast to each element of self.
\n\nThis is used for the standard binary operators\n+, -, *, /, //, %, **, <<, >>, &, |, ^.
\n\n@ is not included due to its different meaning in Die.
\n\nThis is also used for the comparators\n<, <=, >, >=, ==, !=.
\n\nIn this case, the result also has a truth value based on lexicographic\nordering.
\n", "signature": "(\tself,\tother,\top: Callable[..., ~U],\t*args,\tcompare_for_truth: bool = False,\t**kwargs) -> icepool.collection.vector.Vector[~U]:", "funcdef": "def"}, "icepool.Vector.reverse_binary_operator": {"fullname": "icepool.Vector.reverse_binary_operator", "modulename": "icepool", "qualname": "Vector.reverse_binary_operator", "kind": "function", "doc": "Reverse version of binary_operator().
\n", "signature": "(\tself,\tother,\top: Callable[..., ~U],\t*args,\t**kwargs) -> icepool.collection.vector.Vector[~U]:", "funcdef": "def"}, "icepool.Vector.append": {"fullname": "icepool.Vector.append", "modulename": "icepool", "qualname": "Vector.append", "kind": "function", "doc": "\n", "signature": "(self, other) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Vector.concatenate": {"fullname": "icepool.Vector.concatenate", "modulename": "icepool", "qualname": "Vector.concatenate", "kind": "function", "doc": "\n", "signature": "(self, other: Iterable) -> icepool.collection.vector.Vector:", "funcdef": "def"}, "icepool.Symbols": {"fullname": "icepool.Symbols", "modulename": "icepool", "qualname": "Symbols", "kind": "class", "doc": "EXPERIMENTAL: Immutable multiset of single characters.
\n\nSpaces, dashes, and underscores cannot be used as symbols.
\n\nOperations include:
\n\n\n\n\n | Operation | \n Count / notes | \n
\n\n\n\n additive_union, + | \n l + r | \n
\n\n difference, - | \n l - r | \n
\n\n intersection, & | \n min(l, r) | \n
\n\n union, | | \n max(l, r) | \n
\n\n symmetric_difference, ^ | \n abs(l - r) | \n
\n\n multiply_counts, * | \n count * n | \n
\n\n divide_counts, // | \n count // n | \n
\n\n issubset, <= | \n all counts l <= r | \n
\n\n issuperset, >= | \n all counts l >= r | \n
\n\n == | \n all counts l == r | \n
\n\n != | \n any count l != r | \n
\n\n unary + | \n drop all negative counts | \n
\n\n unary - | \n reverses the sign of all counts | \n
\n\n
\n\n< and > are lexicographic orderings rather than subset relations.\nSpecifically, they compare the count of each character in alphabetical\norder. For example:
\n\n\n'a' > '' since one 'a' is more than zero 'a's.'a' > 'bb' since 'a' is compared first.'-a' < 'bb' since the left side has -1 'a's.'a' < 'ab' since the 'a's are equal but the right side has more 'b's.
\n\nBinary operators other than * and // implicitly convert the other\nargument to Symbols using the constructor.
\n\nSubscripting with a single character returns the count of that character\nas an int. E.g. symbols['a'] -> number of as as an int.\nYou can also access it as an attribute, e.g. symbols.a.
\n\nSubscripting with multiple characters returns a Symbols with only those\ncharacters, dropping the rest.\nE.g. symbols['ab'] -> number of as and bs as a Symbols.\nAgain you can also access it as an attribute, e.g. symbols.ab.\nThis is useful for reducing the outcome space, which reduces computational\ncost for further operations. If you want to keep only a single character\nwhile keeping the type as Symbols, you can subscript with that character\nplus an unused character.
\n\nSubscripting with duplicate characters currently has no further effect, but\nthis may change in the future.
\n\nPopulation.marginals forwards attribute access, so you can use e.g.\ndie.marginals.a to get the marginal distribution of as.
\n\nNote that attribute access only works with valid identifiers,\nso e.g. emojis would need to use the subscript method.
\n", "bases": "typing.Mapping[str, int]"}, "icepool.Symbols.__init__": {"fullname": "icepool.Symbols.__init__", "modulename": "icepool", "qualname": "Symbols.__init__", "kind": "function", "doc": "Constructor.
\n\nThe argument can be a string, an iterable of characters, or a mapping of\ncharacters to counts.
\n\nIf the argument is a string, negative symbols can be specified using a\nminus sign optionally surrounded by whitespace. For example,\na - b has one positive a and one negative b.
\n", "signature": "(symbols: Union[str, Iterable[str], Mapping[str, int]])"}, "icepool.Symbols.additive_union": {"fullname": "icepool.Symbols.additive_union", "modulename": "icepool", "qualname": "Symbols.additive_union", "kind": "function", "doc": "The sum of counts of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.difference": {"fullname": "icepool.Symbols.difference", "modulename": "icepool", "qualname": "Symbols.difference", "kind": "function", "doc": "The difference between the counts of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.intersection": {"fullname": "icepool.Symbols.intersection", "modulename": "icepool", "qualname": "Symbols.intersection", "kind": "function", "doc": "The min count of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.union": {"fullname": "icepool.Symbols.union", "modulename": "icepool", "qualname": "Symbols.union", "kind": "function", "doc": "The max count of each symbol.
\n", "signature": "(\tself,\t*args: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.symmetric_difference": {"fullname": "icepool.Symbols.symmetric_difference", "modulename": "icepool", "qualname": "Symbols.symmetric_difference", "kind": "function", "doc": "The absolute difference in symbol counts between the two sets.
\n", "signature": "(\tself,\tother: Union[Iterable[str], Mapping[str, int]]) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.multiply_counts": {"fullname": "icepool.Symbols.multiply_counts", "modulename": "icepool", "qualname": "Symbols.multiply_counts", "kind": "function", "doc": "Multiplies all counts by an integer.
\n", "signature": "(self, other: int) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.divide_counts": {"fullname": "icepool.Symbols.divide_counts", "modulename": "icepool", "qualname": "Symbols.divide_counts", "kind": "function", "doc": "Divides all counts by an integer, rounding down.
\n", "signature": "(self, other: int) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.count_subset": {"fullname": "icepool.Symbols.count_subset", "modulename": "icepool", "qualname": "Symbols.count_subset", "kind": "function", "doc": "The number of times the divisor is contained in this multiset.
\n", "signature": "(\tself,\tdivisor: Union[Iterable[str], Mapping[str, int]],\t*,\tempty_divisor: int | None = None) -> int:", "funcdef": "def"}, "icepool.Symbols.modulo_counts": {"fullname": "icepool.Symbols.modulo_counts", "modulename": "icepool", "qualname": "Symbols.modulo_counts", "kind": "function", "doc": "\n", "signature": "(self, other: int) -> icepool.collection.symbols.Symbols:", "funcdef": "def"}, "icepool.Symbols.issubset": {"fullname": "icepool.Symbols.issubset", "modulename": "icepool", "qualname": "Symbols.issubset", "kind": "function", "doc": "Whether self is a subset of the other.
\n\nSame as <=.
\n\nNote that the < and > operators are lexicographic orderings,\nnot proper subset relations.
\n", "signature": "(self, other: Union[Iterable[str], Mapping[str, int]]) -> bool:", "funcdef": "def"}, "icepool.Symbols.issuperset": {"fullname": "icepool.Symbols.issuperset", "modulename": "icepool", "qualname": "Symbols.issuperset", "kind": "function", "doc": "Whether self is a superset of the other.
\n\nSame as >=.
\n\nNote that the < and > operators are lexicographic orderings,\nnot proper subset relations.
\n", "signature": "(self, other: Union[Iterable[str], Mapping[str, int]]) -> bool:", "funcdef": "def"}, "icepool.Symbols.isdisjoint": {"fullname": "icepool.Symbols.isdisjoint", "modulename": "icepool", "qualname": "Symbols.isdisjoint", "kind": "function", "doc": "Whether self has any positive elements in common with the other.
\n\nRaises:
\n\n\n- ValueError if either has negative elements.
\n
\n", "signature": "(self, other: Union[Iterable[str], Mapping[str, int]]) -> bool:", "funcdef": "def"}, "icepool.Symbols.has_negative_counts": {"fullname": "icepool.Symbols.has_negative_counts", "modulename": "icepool", "qualname": "Symbols.has_negative_counts", "kind": "function", "doc": "Whether any counts are negative.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.Symbols.count": {"fullname": "icepool.Symbols.count", "modulename": "icepool", "qualname": "Symbols.count", "kind": "function", "doc": "The total number of elements.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Again": {"fullname": "icepool.Again", "modulename": "icepool", "qualname": "Again", "kind": "variable", "doc": "A symbol indicating that the die should be rolled again, usually with some operation applied.
\n\nThis is designed to be used with the Die() constructor.\nAgainExpressions should not be fed to functions or methods other than\nDie(), but it can be used with operators. Examples:
\n\n\nAgain + 6: Roll again and add 6.Again + Again: Roll again twice and sum.
\n\nThe again_count, again_depth, and again_end arguments to Die()\naffect how these arguments are processed. At most one of again_count or\nagain_depth may be provided; if neither are provided, the behavior is as\n`again_depth=1.
\n\nFor finer control over rolling processes, use e.g. Die.map() instead.
\n\nCount mode
\n\nWhen again_count is provided, we start with one roll queued and execute one \nroll at a time. For every Again we roll, we queue another roll.\nIf we run out of rolls, we sum the rolls to find the result. If the total number\nof rolls (not including the initial roll) would exceed again_count, we reroll\nthe entire process, effectively conditioning the process on not rolling more\nthan again_count extra dice.
\n\nThis mode only allows \"additive\" expressions to be used with Again, which\nmeans that only the following operators are allowed:
\n\n\n- Binary
+ \nn @ AgainExpression, where n is a non-negative int or Population.
\n\nFurthermore, the + operator is assumed to be associative and commutative.\nFor example, str or tuple outcomes will not produce elements with a definite\norder.
\n\nDepth mode
\n\nWhen again_depth=0, again_end is directly substituted\nfor each occurence of Again. For other values of again_depth, the result for\nagain_depth-1 is substituted for each occurence of Again.
\n\nIf again_end=icepool.Reroll, then any AgainExpressions in the final depth\nare rerolled.
\n\nRerolls
\n\nReroll only rerolls that particular die, not the entire process. Any such\nrerolls do not count against the again_count or again_depth limit.
\n\nIf again_end=icepool.Reroll:
\n\n\n- Count mode: Any result that would cause the number of rolls to exceed\n
again_count is rerolled. \n- Depth mode: Any
AgainExpressions in the final depth level are rerolled. \n
\n", "annotation": ": Final", "default_value": "<icepool.population.again.AgainExpression object>"}, "icepool.CountsKeysView": {"fullname": "icepool.CountsKeysView", "modulename": "icepool", "qualname": "CountsKeysView", "kind": "class", "doc": "This functions as both a KeysView and a Sequence.
\n", "bases": "typing.KeysView[~T], typing.Sequence[~T]"}, "icepool.CountsKeysView.__init__": {"fullname": "icepool.CountsKeysView.__init__", "modulename": "icepool", "qualname": "CountsKeysView.__init__", "kind": "function", "doc": "\n", "signature": "(counts: icepool.collection.counts.Counts[~T])"}, "icepool.CountsValuesView": {"fullname": "icepool.CountsValuesView", "modulename": "icepool", "qualname": "CountsValuesView", "kind": "class", "doc": "This functions as both a ValuesView and a Sequence.
\n", "bases": "typing.ValuesView[int], typing.Sequence[int]"}, "icepool.CountsValuesView.__init__": {"fullname": "icepool.CountsValuesView.__init__", "modulename": "icepool", "qualname": "CountsValuesView.__init__", "kind": "function", "doc": "\n", "signature": "(counts: icepool.collection.counts.Counts)"}, "icepool.CountsItemsView": {"fullname": "icepool.CountsItemsView", "modulename": "icepool", "qualname": "CountsItemsView", "kind": "class", "doc": "This functions as both an ItemsView and a Sequence.
\n", "bases": "typing.ItemsView[~T, int], typing.Sequence[tuple[~T, int]]"}, "icepool.CountsItemsView.__init__": {"fullname": "icepool.CountsItemsView.__init__", "modulename": "icepool", "qualname": "CountsItemsView.__init__", "kind": "function", "doc": "\n", "signature": "(counts: icepool.collection.counts.Counts)"}, "icepool.from_cumulative": {"fullname": "icepool.from_cumulative", "modulename": "icepool", "qualname": "from_cumulative", "kind": "function", "doc": "Constructs a Die from a sequence of cumulative values.
\n\nArguments:
\n\n\n- outcomes: The outcomes of the resulting die. Sorted order is recommended\nbut not necessary.
\n- cumulative: The cumulative values (inclusive) of the outcomes in the\norder they are given to this function. These may be:\n
\nint cumulative quantities.- Dice representing the cumulative distribution at that point.
\n
\n- reverse: Iff true, both of the arguments will be reversed. This allows\ne.g. constructing using a survival distribution.
\n
\n", "signature": "(\toutcomes: Sequence[~T],\tcumulative: Union[Sequence[int], Sequence[icepool.population.die.Die[bool]]],\t*,\treverse: bool = False) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.from_rv": {"fullname": "icepool.from_rv", "modulename": "icepool", "qualname": "from_rv", "kind": "function", "doc": "Constructs a Die from a rv object (as scipy.stats).
\n\nThis is done using the CDF.
\n\nArguments:
\n\n\n- rv: A rv object (as
scipy.stats). \n- outcomes: An iterable of
ints or floats that will be the outcomes\nof the resulting Die.\nIf the distribution is discrete, outcomes must be ints.\nSome outcomes may be omitted if their probability is too small\ncompared to the denominator. \n- denominator: The denominator of the resulting
Die will be set to this. \n- **kwargs: These will be forwarded to
rv.cdf(). \n
\n", "signature": "(\trv,\toutcomes: Union[Sequence[int], Sequence[float]],\tdenominator: int,\t**kwargs) -> icepool.population.die.Die[int] | icepool.population.die.Die[float]:", "funcdef": "def"}, "icepool.pointwise_max": {"fullname": "icepool.pointwise_max", "modulename": "icepool", "qualname": "pointwise_max", "kind": "function", "doc": "Selects the highest chance of rolling >= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling >= to that \noutcome is the same as the highest chance of rolling >= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the highest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get >= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.pointwise_min": {"fullname": "icepool.pointwise_min", "modulename": "icepool", "qualname": "pointwise_min", "kind": "function", "doc": "Selects the highest chance of rolling <= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling <= to that \noutcome is the same as the highest chance of rolling <= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the lowest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get <= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.lowest": {"fullname": "icepool.lowest", "modulename": "icepool", "qualname": "lowest", "kind": "function", "doc": "The lowest outcome among the rolls, or the sum of some of the lowest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- args: Dice or individual outcomes in a single iterable, or as two or\nmore separate arguments. Similar to the built-in
min(). \n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single lowest die will be taken.
\n- If only
keep is provided, the keep lowest dice will be summed. \n- If only
drop is provided, the drop lowest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop lowest dice will be dropped, then\nthe next keep lowest dice will be summed. \n
\n- default: If an empty iterable is provided, the result will be a die that\nalways rolls this value.
\n
\n\nRaises:
\n\n\n- ValueError if an empty iterable is provided with no
default. \n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int | None = None,\tdrop: int | None = None,\tdefault: Optional[~T] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.highest": {"fullname": "icepool.highest", "modulename": "icepool", "qualname": "highest", "kind": "function", "doc": "The highest outcome among the rolls, or the sum of some of the highest.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- args: Dice or individual outcomes in a single iterable, or as two or\nmore separate arguments. Similar to the built-in
max(). \n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single highest die will be taken.
\n- If only
keep is provided, the keep highest dice will be summed. \n- If only
drop is provided, the drop highest dice will be dropped\nand the rest will be summed. \n- If both are provided,
drop highest dice will be dropped, then\nthe next keep highest dice will be summed. \n
\n- drop: This number of highest dice will be dropped before keeping dice\nto be summed.
\n- default: If an empty iterable is provided, the result will be a die that\nalways rolls this value.
\n
\n\nRaises:
\n\n\n- ValueError if an empty iterable is provided with no
default. \n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int | None = None,\tdrop: int | None = None,\tdefault: Optional[~T] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.middle": {"fullname": "icepool.middle", "modulename": "icepool", "qualname": "middle", "kind": "function", "doc": "The middle of the outcomes among the rolls, or the sum of some of the middle.
\n\nThe outcomes should support addition and multiplication if keep != 1.
\n\nArguments:
\n\n\n- args: Dice or individual outcomes in a single iterable, or as two or\nmore separate arguments.
\n- keep: The number of outcomes to sum.
\n- tie: What to do if
keep is odd but the the number of args is even, or\nvice versa.\n\n- 'error' (default): Raises
IndexError. \n- 'high': The higher outcome is taken.
\n- 'low': The lower outcome is taken.
\n
\n- default: If an empty iterable is provided, the result will be a die that\nalways rolls this value.
\n
\n\nRaises:
\n\n\n- ValueError if an empty iterable is provided with no
default. \n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int = 1,\ttie: Literal['error', 'high', 'low'] = 'error',\tdefault: Optional[~T] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.min_outcome": {"fullname": "icepool.min_outcome", "modulename": "icepool", "qualname": "min_outcome", "kind": "function", "doc": "The minimum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.max_outcome": {"fullname": "icepool.max_outcome", "modulename": "icepool", "qualname": "max_outcome", "kind": "function", "doc": "The maximum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.consecutive": {"fullname": "icepool.consecutive", "modulename": "icepool", "qualname": "consecutive", "kind": "function", "doc": "A minimal sequence of consecutive ints covering the argument sets.
\n", "signature": "(*args: Iterable[int]) -> Sequence[int]:", "funcdef": "def"}, "icepool.sorted_union": {"fullname": "icepool.sorted_union", "modulename": "icepool", "qualname": "sorted_union", "kind": "function", "doc": "Merge sets into a sorted sequence.
\n", "signature": "(*args: Iterable[~T]) -> tuple[~T, ...]:", "funcdef": "def"}, "icepool.commonize_denominator": {"fullname": "icepool.commonize_denominator", "modulename": "icepool", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the quantities of the dice so that all of them have the same denominator.
\n\nThe denominator is the LCM of the denominators of the arguments.
\n\nArguments:
\n\n\n- *dice: Any number of dice or single outcomes convertible to dice.
\n
\n\nReturns:
\n\n\n A tuple of dice with the same denominator.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.reduce": {"fullname": "icepool.reduce", "modulename": "icepool", "qualname": "reduce", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice.
\n\nAnalogous to the\nfunctools function of the same name.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice, and produce an outcome\nof the same type. It may also return
Reroll, in which case the\nentire sequence is effectively rerolled. \n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.accumulate": {"fullname": "icepool.accumulate", "modulename": "icepool", "qualname": "accumulate", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice, yielding each result in turn.
\n\nAnalogous to the\nitertools function of the same name\n, though with no default function and\nthe same parameter order as reduce().
\n\nThe number of results is equal to the number of elements of dice, with\none additional element if initial is provided.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice.
\n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T]]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> Iterator[icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.map": {"fullname": "icepool.map", "modulename": "icepool", "qualname": "map", "kind": "function", "doc": "Applies func(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, returning a Die.
\n\nSee map_function for a decorator version of this.
\n\nExample: map(lambda a, b: a + b, d6, d6) is the same as d6 + d6.
\n\nmap() is flexible but not very efficient for more than a few dice.\nIf at all possible, use reduce(), MultisetExpression methods, and/or\nMultisetEvaluators. Even Pool.expand() (which sorts rolls) is more\nefficient than using map on the dice in order.
\n\nAgain can be used but is not recommended with repeat other than 1.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a new outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nIn this case args must have exactly one element.\nAs with the
Die constructor, the new outcomes: \n- May be dice rather than just single outcomes.
\n- The special value
icepool.Reroll will reroll that old outcome. \ntuples containing Populations will be tupleized into\nPopulations of tuples.\nThis does not apply to subclasses of tuples such as namedtuple\nor other classes such as Vector.
\n- *args:
func will be called with all joint outcomes of these.\nAllowed arg types are:\n\n- Single outcome.
\nDie. All outcomes will be sent to func.MultisetExpression. All sorted tuples of outcomes will be sent\nto func, as MultisetExpression.expand(). The expression must\nbe fully bound.
\n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \nrepeat: This will be repeated with the same arguments on the\nresult this many times, except the first of args will be replaced\nby the result of the previous iteration.
\n\nNote that returning Reroll from repl will effectively reroll all\narguments, including the first argument which represents the result\nof the process up to this point. If you only want to reroll the\ncurrent stage, you can nest another map inside repl.
\n\nEXPERIMENTAL: If set to 'inf', the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- time_limit: Similar to
repeat, but will return early if a fixed point\nis reached. If both repeat and time_limit are provided\n(not recommended), time_limit takes priority. \n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\ttime_limit: Union[int, Literal['inf'], NoneType] = None,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.map_function": {"fullname": "icepool.map_function", "modulename": "icepool", "qualname": "map_function", "kind": "function", "doc": "Decorator that turns a function that takes outcomes into a function that takes dice.
\n\nThe result must be a Die.
\n\nThis is basically a decorator version of map() and produces behavior\nsimilar to AnyDice functions, though Icepool has different typing rules\namong other differences.
\n\nmap_function can either be used with no arguments:
\n\n\n
@map_function\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6, again_depth=2)\n
\n
Or with keyword arguments, in which case the extra arguments are bound:
\n\n\n
@map_function(again_depth=2)\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6)\n
\n
Arguments:
\n\n\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> Union[Callable[..., icepool.population.die.Die[~T]], Callable[..., Callable[..., icepool.population.die.Die[~T]]]]:", "funcdef": "def"}, "icepool.map_and_time": {"fullname": "icepool.map_and_time", "modulename": "icepool", "qualname": "map_and_time", "kind": "function", "doc": "Repeatedly map outcomes of the state to other outcomes, while also\ncounting timesteps.
\n\nThis is useful for representing processes.
\n\nThe outcomes of the result are (outcome, time), where time is the\nnumber of repeats needed to reach an absorbing outcome (an outcome that\nonly leads to itself), or repeat, whichever is lesser.
\n\nThis will return early if it reaches a fixed point.\nTherefore, you can set repeat equal to the maximum number of\ntime you could possibly be interested in without worrying about\nit causing extra computations after the fixed point.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable returning a new outcome for each old outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\n- initial_state: The initial state of the process, which could be a\nsingle state or a
Die. \n- extra_args: Extra arguments to use, as per
map. Note that these are\nrerolled at every time step. \n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \n- time_limit: This will be repeated with the same arguments on the result\nup to this many times.
\n
\n\nReturns:
\n\n\n The Die after the modification.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\tinitial_state: Union[~T, icepool.population.die.Die[~T]],\t/,\t*extra_args,\tstar: bool | None = None,\ttime_limit: int) -> icepool.population.die.Die[tuple[~T, int]]:", "funcdef": "def"}, "icepool.map_to_pool": {"fullname": "icepool.map_to_pool", "modulename": "icepool", "qualname": "map_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Applies repl(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, producing a MultisetGenerator.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a
MultisetGenerator or something convertible to a Pool. \n- A mapping from old outcomes to
MultisetGenerator \nor something convertible to a Pool.\nIn this case args must have exactly one element.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value icepool.Reroll will reroll that old outcome. \n
\n- star: If
True, the first of the args will be unpacked before giving\nthem to repl.\nIf not provided, it will be guessed based on the signature of repl\nand the number of arguments. \n- denominator: If provided, the denominator of the result will be this\nvalue. Otherwise it will be the minimum to correctly weight the\npools.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n\nRaises:
\n\n\n- ValueError: If
denominator cannot be made consistent with the \nresulting mixture of pools. \n
\n", "signature": "(\trepl: Union[Callable[..., Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]], Mapping[Any, Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\tdenominator: int | None = None) -> icepool.generator.multiset_generator.MultisetGenerator[~T, tuple[int]]:", "funcdef": "def"}, "icepool.Reroll": {"fullname": "icepool.Reroll", "modulename": "icepool", "qualname": "Reroll", "kind": "variable", "doc": "Indicates that an outcome should be rerolled (with unlimited depth).
\n\nThis can be used in place of outcomes in many places. See individual function\nand method descriptions for details.
\n\nThis effectively removes the outcome from the probability space, along with its\ncontribution to the denominator.
\n\nThis can be used for conditional probability by removing all outcomes not\nconsistent with the given observations.
\n\nOperation in specific cases:
\n\n\n- When used with
Again, only that stage is rerolled, not the entire Again\ntree. \n- To reroll with limited depth, use
Die.reroll(), or Again with no\nmodification. \n- When used with
MultisetEvaluator, the entire evaluation is rerolled. \n
\n", "annotation": ": Final", "default_value": "<RerollType.Reroll: 'Reroll'>"}, "icepool.RerollType": {"fullname": "icepool.RerollType", "modulename": "icepool", "qualname": "RerollType", "kind": "class", "doc": "The type of the Reroll singleton.
\n", "bases": "enum.Enum"}, "icepool.RerollType.Reroll": {"fullname": "icepool.RerollType.Reroll", "modulename": "icepool", "qualname": "RerollType.Reroll", "kind": "variable", "doc": "Indicates an outcome should be rerolled (with unlimited depth).
\n", "default_value": "<RerollType.Reroll: 'Reroll'>"}, "icepool.Pool": {"fullname": "icepool.Pool", "modulename": "icepool", "qualname": "Pool", "kind": "class", "doc": "Represents a multiset of outcomes resulting from the roll of several dice.
\n\nThis should be used in conjunction with MultisetEvaluator to generate a\nresult.
\n\nNote that operators are performed on the multiset of rolls, not the multiset\nof dice. For example, d6.pool(3) - d6.pool(3) is not an empty pool, but\nan expression meaning \"roll two pools of 3d6 and get the rolls from the\nfirst pool, with rolls in the second pool cancelling matching rolls in the\nfirst pool one-for-one\".
\n", "bases": "icepool.generator.keep.KeepGenerator[~T]"}, "icepool.Pool.__init__": {"fullname": "icepool.Pool.__init__", "modulename": "icepool", "qualname": "Pool.__init__", "kind": "function", "doc": "Public constructor for a pool.
\n\nEvaulation is most efficient when the dice are the same or same-side\ntruncations of each other. For example, d4, d6, d8, d10, d12 are all\nsame-side truncations of d12.
\n\nIt is permissible to create a Pool without providing dice, but not all\nevaluators will handle this case, especially if they depend on the\noutcome type. Dice may be in the pool zero times, in which case their\noutcomes will be considered but without any count (unless another die\nhas that outcome).
\n\nArguments:
\n\n\n\nRaises:
\n\n\n- ValueError: If a bare
Deck or Die argument is provided.\nA Pool of a single Die should constructed as Pool([die]). \n
\n", "signature": "(\tdice: Union[Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], Mapping[Union[icepool.population.die.Die[~T], ~T], int]],\ttimes: Union[Sequence[int], int] = 1)"}, "icepool.Pool.clear_cache": {"fullname": "icepool.Pool.clear_cache", "modulename": "icepool", "qualname": "Pool.clear_cache", "kind": "function", "doc": "Clears the global pool cache.
\n", "signature": "(cls):", "funcdef": "def"}, "icepool.Pool.raw_size": {"fullname": "icepool.Pool.raw_size", "modulename": "icepool", "qualname": "Pool.raw_size", "kind": "function", "doc": "The number of dice in this pool before the keep_tuple is applied.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Pool.denominator": {"fullname": "icepool.Pool.denominator", "modulename": "icepool", "qualname": "Pool.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Pool.unique_dice": {"fullname": "icepool.Pool.unique_dice", "modulename": "icepool", "qualname": "Pool.unique_dice", "kind": "function", "doc": "The collection of unique dice in this pool.
\n", "signature": "(self) -> Collection[icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.Pool.outcomes": {"fullname": "icepool.Pool.outcomes", "modulename": "icepool", "qualname": "Pool.outcomes", "kind": "function", "doc": "The union of possible outcomes among all dice in this pool in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.Pool.output_arity": {"fullname": "icepool.Pool.output_arity", "modulename": "icepool", "qualname": "Pool.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Pool.local_order_preference": {"fullname": "icepool.Pool.local_order_preference", "modulename": "icepool", "qualname": "Pool.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.Pool.min_outcome": {"fullname": "icepool.Pool.min_outcome", "modulename": "icepool", "qualname": "Pool.min_outcome", "kind": "function", "doc": "The min outcome among all dice in this pool.
\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.Pool.max_outcome": {"fullname": "icepool.Pool.max_outcome", "modulename": "icepool", "qualname": "Pool.max_outcome", "kind": "function", "doc": "The max outcome among all dice in this pool.
\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.Pool.additive_union": {"fullname": "icepool.Pool.additive_union", "modulename": "icepool", "qualname": "Pool.additive_union", "kind": "function", "doc": "The combined elements from all of the multisets.
\n\nSame as a + b + c + ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] + [1, 2, 4] -> [1, 1, 2, 2, 2, 3, 4]\n
\n
A Pool of standard dice (e.g. d6, d8...).
\n\nArguments:
\n\n\n- die_sizes: A collection of die sizes, which will put one die of that\nsizes in the pool for each element.\nOr, a mapping of die sizes to how many dice of that size to put\ninto the pool.\nIf empty, the pool will be considered to consist of zero zeros.
\n
\n", "signature": "(\tdie_sizes: Union[Collection[int], Mapping[int, int]]) -> icepool.generator.pool.Pool[int]:", "funcdef": "def"}, "icepool.MultisetGenerator": {"fullname": "icepool.MultisetGenerator", "modulename": "icepool", "qualname": "MultisetGenerator", "kind": "class", "doc": "Abstract base class for generating one or more multisets.
\n\nThese include dice pools (Pool) and card deals (Deal). Most likely you\nwill be using one of these two rather than writing your own subclass of\nMultisetGenerator.
\n\nThe multisets are incrementally generated one outcome at a time.\nFor each outcome, a count and weight are generated, along with a\nsmaller generator to produce the rest of the multiset.
\n\nYou can perform simple evaluations using built-in operators and methods in\nthis class.\nFor more complex evaluations and better performance, particularly when\nmultiple generators are involved, you will want to write your own subclass\nof MultisetEvaluator.
\n", "bases": "typing.Generic[~T, ~Qs], icepool.multiset_expression.MultisetExpression[~T]"}, "icepool.MultisetGenerator.has_free_variables": {"fullname": "icepool.MultisetGenerator.has_free_variables", "modulename": "icepool", "qualname": "MultisetGenerator.has_free_variables", "kind": "function", "doc": "Whether this expression contains any free variables, i.e. parameters to a @multiset_function.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.MultisetExpression": {"fullname": "icepool.MultisetExpression", "modulename": "icepool", "qualname": "MultisetExpression", "kind": "class", "doc": "Abstract base class representing an expression that operates on multisets.
\n\nThere are three types of multiset expressions:
\n\n\nMultisetGenerator, which produce raw outcomes and counts.MultisetOperator, which takes outcomes with one or more counts and\nproduces a count.MultisetVariable, which is a temporary placeholder for some other \nexpression.
\n\nExpression methods can be applied to MultisetGenerators to do simple\nevaluations. For joint evaluations, try multiset_function.
\n\nUse the provided operations to build up more complicated\nexpressions, or to attach a final evaluator.
\n\nOperations include:
\n\n\n\n\n | Operation | \n Count / notes | \n
\n\n\n\n additive_union, + | \n l + r | \n
\n\n difference, - | \n l - r | \n
\n\n intersection, & | \n min(l, r) | \n
\n\n union, | | \n max(l, r) | \n
\n\n symmetric_difference, ^ | \n abs(l - r) | \n
\n\n multiply_counts, * | \n count * n | \n
\n\n divide_counts, // | \n count // n | \n
\n\n modulo_counts, % | \n count % n | \n
\n\n keep_counts | \n count if count >= n else 0 etc. | \n
\n\n unary + | \n same as keep_counts_ge(0) | \n
\n\n unary - | \n reverses the sign of all counts | \n
\n\n unique | \n min(count, n) | \n
\n\n keep_outcomes | \n count if outcome in t else 0 | \n
\n\n drop_outcomes | \n count if outcome not in t else 0 | \n
\n\n map_counts | \n f(outcome, *counts) | \n
\n\n keep, [] | \n less capable than KeepGenerator version | \n
\n\n highest | \n less capable than KeepGenerator version | \n
\n\n lowest | \n less capable than KeepGenerator version | \n
\n\n
\n\n\n\n\n | Evaluator | \n Summary | \n
\n\n\n\n issubset, <= | \n Whether the left side's counts are all <= their counterparts on the right | \n
\n\n issuperset, >= | \n Whether the left side's counts are all >= their counterparts on the right | \n
\n\n isdisjoint | \n Whether the left side has no positive counts in common with the right side | \n
\n\n < | \n As <=, but False if the two multisets are equal | \n
\n\n > | \n As >=, but False if the two multisets are equal | \n
\n\n == | \n Whether the left side has all the same counts as the right side | \n
\n\n != | \n Whether the left side has any different counts to the right side | \n
\n\n expand | \n All elements in ascending order | \n
\n\n sum | \n Sum of all elements | \n
\n\n count | \n The number of elements | \n
\n\n any | \n Whether there is at least 1 element | \n
\n\n highest_outcome_and_count | \n The highest outcome and how many of that outcome | \n
\n\n all_counts | \n All counts in descending order | \n
\n\n largest_count | \n The single largest count, aka x-of-a-kind | \n
\n\n largest_count_and_outcome | \n Same but also with the corresponding outcome | \n
\n\n count_subset, // | \n The number of times the right side is contained in the left side | \n
\n\n largest_straight | \n Length of longest consecutive sequence | \n
\n\n largest_straight_and_outcome | \n Same but also with the corresponding outcome | \n
\n\n all_straights | \n Lengths of all consecutive sequences in descending order | \n
\n\n
\n", "bases": "abc.ABC, typing.Generic[~T]"}, "icepool.MultisetExpression.outcomes": {"fullname": "icepool.MultisetExpression.outcomes", "modulename": "icepool", "qualname": "MultisetExpression.outcomes", "kind": "function", "doc": "The possible outcomes that could be generated, in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.output_arity": {"fullname": "icepool.MultisetExpression.output_arity", "modulename": "icepool", "qualname": "MultisetExpression.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetExpression.local_order_preference": {"fullname": "icepool.MultisetExpression.local_order_preference", "modulename": "icepool", "qualname": "MultisetExpression.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.MultisetExpression.has_free_variables": {"fullname": "icepool.MultisetExpression.has_free_variables", "modulename": "icepool", "qualname": "MultisetExpression.has_free_variables", "kind": "function", "doc": "Whether this expression contains any free variables, i.e. parameters to a @multiset_function.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.MultisetExpression.denominator": {"fullname": "icepool.MultisetExpression.denominator", "modulename": "icepool", "qualname": "MultisetExpression.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetExpression.min_outcome": {"fullname": "icepool.MultisetExpression.min_outcome", "modulename": "icepool", "qualname": "MultisetExpression.min_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetExpression.max_outcome": {"fullname": "icepool.MultisetExpression.max_outcome", "modulename": "icepool", "qualname": "MultisetExpression.max_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetExpression.equals": {"fullname": "icepool.MultisetExpression.equals", "modulename": "icepool", "qualname": "MultisetExpression.equals", "kind": "function", "doc": "Whether this expression is logically equal to another object.
\n", "signature": "(self, other) -> bool:", "funcdef": "def"}, "icepool.MultisetExpression.order_preference": {"fullname": "icepool.MultisetExpression.order_preference", "modulename": "icepool", "qualname": "MultisetExpression.order_preference", "kind": "function", "doc": "\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.MultisetExpression.sample": {"fullname": "icepool.MultisetExpression.sample", "modulename": "icepool", "qualname": "MultisetExpression.sample", "kind": "function", "doc": "EXPERIMENTAL: A single random sample from this generator.
\n\nThis uses the standard random package and is not cryptographically\nsecure.
\n\nReturns:
\n\n\n A sorted tuple of outcomes for each output of this generator.
\n
\n", "signature": "(self) -> tuple[tuple, ...]:", "funcdef": "def"}, "icepool.MultisetExpression.additive_union": {"fullname": "icepool.MultisetExpression.additive_union", "modulename": "icepool", "qualname": "MultisetExpression.additive_union", "kind": "function", "doc": "The combined elements from all of the multisets.
\n\nSame as a + b + c + ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] + [1, 2, 4] -> [1, 1, 2, 2, 2, 3, 4]\n
\n
The elements from the left multiset that are not in any of the others.
\n\nSame as a - b - c - ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] - [1, 2, 4] -> [2, 3]\n
\n
If no arguments are given, the result will be an empty multiset, i.e.\nall zero counts.
\n\nNote that, as a multiset operation, this will only cancel elements 1:1.\nIf you want to drop all elements in a set of outcomes regardless of\ncount, either use drop_outcomes() instead, or use a large number of\ncounts on the right side.
\n", "signature": "(\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.intersection": {"fullname": "icepool.MultisetExpression.intersection", "modulename": "icepool", "qualname": "MultisetExpression.intersection", "kind": "function", "doc": "The elements that all the multisets have in common.
\n\nSame as a & b & c & ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] & [1, 2, 4] -> [1, 2]\n
\n
Note that, as a multiset operation, this will only intersect elements\n1:1.\nIf you want to keep all elements in a set of outcomes regardless of\ncount, either use keep_outcomes() instead, or use a large number of\ncounts on the right side.
\n", "signature": "(\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.union": {"fullname": "icepool.MultisetExpression.union", "modulename": "icepool", "qualname": "MultisetExpression.union", "kind": "function", "doc": "The most of each outcome that appear in any of the multisets.
\n\nSame as a | b | c | ....
\n\nAny resulting counts that would be negative are set to zero.
\n\nExample:
\n\n\n
[1, 2, 2, 3] | [1, 2, 4] -> [1, 2, 2, 3, 4]\n
\n
The elements that appear in the left or right multiset but not both.
\n\nSame as a ^ b.
\n\nSpecifically, this produces the absolute difference between counts.\nIf you don't want negative counts to be used from the inputs, you can\ndo +left ^ +right.
\n\nExample:
\n\n\n
[1, 2, 2, 3] ^ [1, 2, 4] -> [2, 3, 4]\n
\n
Keeps the elements in the target set of outcomes, and drops the rest by setting their counts to zero.
\n\nThis is similar to intersection(), except the right side is considered\nto have unlimited multiplicity.
\n\nArguments:
\n\n\n- target: A callable returning
True iff the outcome should be kept,\nor an expression or collection of outcomes to keep. \n
\n", "signature": "(\tself,\ttarget: Union[Callable[[~T], bool], Collection[~T], icepool.multiset_expression.MultisetExpression[~T]],\t/) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.drop_outcomes": {"fullname": "icepool.MultisetExpression.drop_outcomes", "modulename": "icepool", "qualname": "MultisetExpression.drop_outcomes", "kind": "function", "doc": "Drops the elements in the target set of outcomes by setting their counts to zero, and keeps the rest.
\n\nThis is similar to difference(), except the right side is considered\nto have unlimited multiplicity.
\n\nArguments:
\n\n\n- target: A callable returning
True iff the outcome should be\ndropped, or an expression or collection of outcomes to drop. \n
\n", "signature": "(\tself,\ttarget: Union[Callable[[~T], bool], Collection[~T], icepool.multiset_expression.MultisetExpression[~T]],\t/) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.map_counts": {"fullname": "icepool.MultisetExpression.map_counts", "modulename": "icepool", "qualname": "MultisetExpression.map_counts", "kind": "function", "doc": "Maps the counts to new counts.
\n\nArguments:
\n\n\n- function: A function that takes
outcome, *counts and produces a\ncombined count. \n
\n", "signature": "(\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\tfunction: Callable[..., int]) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.multiply_counts": {"fullname": "icepool.MultisetExpression.multiply_counts", "modulename": "icepool", "qualname": "MultisetExpression.multiply_counts", "kind": "function", "doc": "Multiplies all counts by n.
\n\nSame as self * n.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]) * 2 -> [1, 1, 2, 2, 2, 2, 3, 3]\n
\n
Divides all counts by n (rounding down).
\n\nSame as self // n.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]) // 2 -> [2]\n
\n
Moduos all counts by n.
\n\nSame as self % n.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]) % 2 -> [1, 3]\n
\n
Keeps counts fitting the comparison, treating the rest as zero.
\n\nFor example, expression.keep_counts('>=', 2) would keep pairs,\ntriplets, etc. and drop singles.
\n\n\n
Pool([1, 2, 2, 3, 3, 3]).keep_counts('>=', 2) -> [2, 2, 3, 3, 3]\n
\n
Arguments:
\n\n\n- comparison: The comparison to use.
\n- n: The number to compare counts against.
\n
\n", "signature": "(\tself,\tcomparison: Literal['==', '!=', '<=', '<', '>=', '>'],\tn: int,\t/) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.unique": {"fullname": "icepool.MultisetExpression.unique", "modulename": "icepool", "qualname": "MultisetExpression.unique", "kind": "function", "doc": "Counts each outcome at most n times.
\n\nFor example, generator.unique(2) would count each outcome at most\ntwice.
\n\nExample:
\n\n\n
Pool([1, 2, 2, 3]).unique() -> [1, 2, 3]\n
\n
Selects elements after drawing and sorting.
\n\nThis is less capable than the KeepGenerator version.\nIn particular, it does not know how many elements it is selecting from,\nso it must be anchored at the starting end. The advantage is that it\ncan be applied to any expression.
\n\nThe valid types of argument are:
\n\n\n- A
slice. If both start and stop are provided, they must both be\nnon-negative or both be negative. step is not supported. \n- A sequence of
int with ... (Ellipsis) at exactly one end.\nEach sorted element will be counted that many times, with the\nEllipsis treated as enough zeros (possibly \"negative\") to\nfill the rest of the elements. \n- An
int, which evaluates by taking the element at the specified\nindex. In this case the result is a Die (if fully bound) or a\nMultisetEvaluator (if there are free variables). \n
\n\nNegative incoming counts are treated as zero counts.
\n\nUse the [] operator for the same effect as this method.
\n", "signature": "(\tself,\tindex: Union[slice, Sequence[int | ellipsis], int]) -> Union[icepool.multiset_expression.MultisetExpression[~T], icepool.population.die.Die[~T], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, ~T]]:", "funcdef": "def"}, "icepool.MultisetExpression.lowest": {"fullname": "icepool.MultisetExpression.lowest", "modulename": "icepool", "qualname": "MultisetExpression.lowest", "kind": "function", "doc": "Keep some of the lowest elements from this multiset and drop the rest.
\n\nIn contrast to the die and free function versions, this does not\nautomatically sum the dice. Use .sum() afterwards if you want to sum.\nAlternatively, you can perform some other evaluation.
\n\nThis requires the outcomes to be evaluated in ascending order.
\n\nArguments:
\n\n\n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single lowest element\nwill be kept.
\n- If only
keep is provided, the keep lowest elements\nwill be kept. \n- If only
drop is provided, the drop lowest elements\nwill be dropped and the rest will be kept. \n- If both are provided,
drop lowest elements will be dropped,\nthen the next keep lowest elements will be kept. \n
\n
\n", "signature": "(\tself,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.highest": {"fullname": "icepool.MultisetExpression.highest", "modulename": "icepool", "qualname": "MultisetExpression.highest", "kind": "function", "doc": "Keep some of the highest elements from this multiset and drop the rest.
\n\nIn contrast to the die and free function versions, this does not\nautomatically sum the dice. Use .sum() afterwards if you want to sum.\nAlternatively, you can perform some other evaluation.
\n\nThis requires the outcomes to be evaluated in descending order.
\n\nArguments:
\n\n\n- keep, drop: These arguments work together:\n
\n- If neither are provided, the single highest element\nwill be kept.
\n- If only
keep is provided, the keep highest elements\nwill be kept. \n- If only
drop is provided, the drop highest elements\nwill be dropped and the rest will be kept. \n- If both are provided,
drop highest elements will be dropped, \nthen the next keep highest elements will be kept. \n
\n
\n", "signature": "(\tself,\tkeep: int | None = None,\tdrop: int | None = None) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.sort_match": {"fullname": "icepool.MultisetExpression.sort_match", "modulename": "icepool", "qualname": "MultisetExpression.sort_match", "kind": "function", "doc": "EXPERIMENTAL: Matches elements of self with elements of other in sorted order, then keeps elements from self that fit comparison with their partner.
\n\nExtra elements: If self has more elements than other, whether the\nextra elements are kept depends on the order and comparison:
\n\n\n- Descending: kept for
'>=', '>' \n- Ascending: kept for
'<=', '<' \n
\n\nExample: An attacker rolls 3d6 versus a defender's 2d6 in the game of\nRISK. Which pairs did the attacker win?
\n\n\n
d6.pool(3).highest(2).sort_match('>', d6.pool(2))\n
\n
Suppose the attacker rolled 6, 4, 3 and the defender 5, 5.\nIn this case the 4 would be blocked since the attacker lost that pair,\nleaving the attacker's 6 and 3. If you don't want to keep the extra\nelement, you can use highest.
\n\n\n
Pool([6, 4, 3]).sort_match('>', [5, 5]) -> [6, 3]\nPool([6, 4, 3]).highest(2).sort_match('>', [5, 5]) -> [6]\n
\n
Contrast maximum_match(), which first creates the maximum number of\npairs that fit the comparison, not necessarily in sorted order.\nIn the above example, maximum_match() would allow the defender to\nassign their 5s to block both the 4 and the 3.
\n\nNegative incoming counts are treated as zero counts.
\n\nArguments:
\n\n\n- comparison: The comparison to filter by. If you want to drop rather\nthan keep, use the complementary comparison:\n
\n'==' vs. '!=''<=' vs. '>''>=' vs. '<'
\n- other: The other multiset to match elements with.
\n- order: The order in which to sort before forming matches.\nDefault is descending.
\n
\n", "signature": "(\tself,\tcomparison: Literal['==', '!=', '<=', '<', '>=', '>'],\tother: icepool.multiset_expression.MultisetExpression[~T],\t/,\torder: icepool.order.Order = <Order.Descending: -1>) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.maximum_match_highest": {"fullname": "icepool.MultisetExpression.maximum_match_highest", "modulename": "icepool", "qualname": "MultisetExpression.maximum_match_highest", "kind": "function", "doc": "EXPERIMENTAL: Match the highest elements from self with even higher (or equal) elements from other.
\n\nThis matches elements of self with elements of other, such that in\neach pair the element from self fits the comparision with the\nelement from other. As many such pairs of elements will be matched as \npossible, preferring the highest matchable elements of self.\nFinally, either the matched or unmatched elements from self are kept.
\n\nThis requires that outcomes be evaluated in descending order.
\n\nExample: An attacker rolls a pool of 4d6 and a defender rolls a pool of \n3d6. Defender dice can be used to block attacker dice of equal or lesser\nvalue, and the defender prefers to block the highest attacker dice\npossible. Which attacker dice were not blocked?
\n\n\n
d6.pool(4).maximum_match('<=', d6.pool(3), keep='unmatched').sum()\n
\n
Suppose the attacker rolls 6, 4, 3, 1 and the defender rolls 5, 5.\nThen the result would be [6, 1].
\n\n\n
d6.pool([6, 4, 3, 1]).maximum_match('<=', [5, 5], keep='unmatched')\n-> [6, 1]\n
\n
Contrast sort_match(), which first creates pairs in\nsorted order and then filters them by comparison.\nIn the above example, sort_matched would force the defender to match\nagainst the 5 and the 4, which would only allow them to block the 4.
\n\nNegative incoming counts are treated as zero counts.
\n\nArguments:
\n\n\n- comparison: Either
'<=' or '<'. \n- other: The other multiset to match elements with.
\n- keep: Whether 'matched' or 'unmatched' elements are to be kept.
\n
\n", "signature": "(\tself,\tcomparison: Literal['<=', '<'],\tother: icepool.multiset_expression.MultisetExpression[~T],\t/,\t*,\tkeep: Literal['matched', 'unmatched']) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.maximum_match_lowest": {"fullname": "icepool.MultisetExpression.maximum_match_lowest", "modulename": "icepool", "qualname": "MultisetExpression.maximum_match_lowest", "kind": "function", "doc": "EXPERIMENTAL: Match the lowest elements from self with even lower (or equal) elements from other.
\n\nThis matches elements of self with elements of other, such that in\neach pair the element from self fits the comparision with the\nelement from other. As many such pairs of elements will be matched as \npossible, preferring the lowest matchable elements of self.\nFinally, either the matched or unmatched elements from self are kept.
\n\nThis requires that outcomes be evaluated in ascending order.
\n\nContrast sort_match(), which first creates pairs in\nsorted order and then filters them by comparison.
\n\nArguments:
\n\n\n- comparison: Either
'>=' or '>'. \n- other: The other multiset to match elements with.
\n- keep: Whether 'matched' or 'unmatched' elements are to be kept.
\n
\n", "signature": "(\tself,\tcomparison: Literal['>=', '>'],\tother: icepool.multiset_expression.MultisetExpression[~T],\t/,\t*,\tkeep: Literal['matched', 'unmatched']) -> icepool.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.MultisetExpression.expand": {"fullname": "icepool.MultisetExpression.expand", "modulename": "icepool", "qualname": "MultisetExpression.expand", "kind": "function", "doc": "Evaluation: All elements of the multiset in ascending order.
\n\nThis is expensive and not recommended unless there are few possibilities.
\n\nArguments:
\n\n\n- order: Whether the elements are in ascending (default) or descending\norder.
\n
\n", "signature": "(\tself,\torder: icepool.order.Order = <Order.Ascending: 1>) -> Union[icepool.population.die.Die[tuple[~T, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[~T, ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.sum": {"fullname": "icepool.MultisetExpression.sum", "modulename": "icepool", "qualname": "MultisetExpression.sum", "kind": "function", "doc": "Evaluation: The sum of all elements.
\n", "signature": "(\tself,\tmap: Union[Callable[[~T], ~U], Mapping[~T, ~U], NoneType] = None) -> Union[icepool.population.die.Die[~U], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, ~U]]:", "funcdef": "def"}, "icepool.MultisetExpression.count": {"fullname": "icepool.MultisetExpression.count", "modulename": "icepool", "qualname": "MultisetExpression.count", "kind": "function", "doc": "Evaluation: The total number of elements in the multiset.
\n\nThis is usually not very interesting unless some other operation is\nperformed first. Examples:
\n\ngenerator.unique().count() will count the number of unique outcomes.
\n\n(generator & [4, 5, 6]).count() will count up to one each of\n4, 5, and 6.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.any": {"fullname": "icepool.MultisetExpression.any", "modulename": "icepool", "qualname": "MultisetExpression.any", "kind": "function", "doc": "Evaluation: Whether the multiset has at least one positive count.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.highest_outcome_and_count": {"fullname": "icepool.MultisetExpression.highest_outcome_and_count", "modulename": "icepool", "qualname": "MultisetExpression.highest_outcome_and_count", "kind": "function", "doc": "Evaluation: The highest outcome with positive count, along with that count.
\n\nIf no outcomes have positive count, the min outcome will be returned with 0 count.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[tuple[~T, int]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[~T, int]]]:", "funcdef": "def"}, "icepool.MultisetExpression.all_counts": {"fullname": "icepool.MultisetExpression.all_counts", "modulename": "icepool", "qualname": "MultisetExpression.all_counts", "kind": "function", "doc": "Evaluation: Sorted tuple of all counts, i.e. the sizes of all matching sets.
\n\nThe sizes are in descending order.
\n\nArguments:
\n\n\nfilter: Any counts below this value will not be in the output.\nFor example, filter=2 will only produce pairs and better.\nIf None, no filtering will be done.
\n\nWhy not just place keep_counts_ge() before this?\nkeep_counts_ge() operates by setting counts to zero, so you\nwould still need an argument to specify whether you want to\noutput zero counts. So we might as well use the argument to do\nboth.
\n", "signature": "(\tself,\tfilter: Union[int, Literal['all']] = 1) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[int, ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_count": {"fullname": "icepool.MultisetExpression.largest_count", "modulename": "icepool", "qualname": "MultisetExpression.largest_count", "kind": "function", "doc": "Evaluation: The size of the largest matching set among the elements.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_count_and_outcome": {"fullname": "icepool.MultisetExpression.largest_count_and_outcome", "modulename": "icepool", "qualname": "MultisetExpression.largest_count_and_outcome", "kind": "function", "doc": "Evaluation: The largest matching set among the elements and the corresponding outcome.
\n", "signature": "(\tself) -> Union[icepool.population.die.Die[tuple[int, ~T]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple[int, ~T]]]:", "funcdef": "def"}, "icepool.MultisetExpression.count_subset": {"fullname": "icepool.MultisetExpression.count_subset", "modulename": "icepool", "qualname": "MultisetExpression.count_subset", "kind": "function", "doc": "Evaluation: The number of times the divisor is contained in this multiset.
\n\nArguments:
\n\n\n- divisor: The multiset to divide by.
\n- empty_divisor: If the divisor is empty, the outcome will be this.\nIf not set,
ZeroDivisionError will be raised for an empty\nright side. \n
\n\nRaises:
\n\n\n- ZeroDivisionError: If the divisor may be empty and \nempty_divisor_outcome is not set.
\n
\n", "signature": "(\tself,\tdivisor: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/,\t*,\tempty_divisor: int | None = None) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_straight": {"fullname": "icepool.MultisetExpression.largest_straight", "modulename": "icepool", "qualname": "MultisetExpression.largest_straight", "kind": "function", "doc": "Evaluation: The size of the largest straight among the elements.
\n\nOutcomes must be ints.
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int]) -> Union[icepool.population.die.Die[int], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, int]]:", "funcdef": "def"}, "icepool.MultisetExpression.largest_straight_and_outcome": {"fullname": "icepool.MultisetExpression.largest_straight_and_outcome", "modulename": "icepool", "qualname": "MultisetExpression.largest_straight_and_outcome", "kind": "function", "doc": "Evaluation: The size of the largest straight among the elements and the highest (optionally, lowest) outcome in that straight.
\n\nStraight size is prioritized first, then the outcome.
\n\nOutcomes must be ints.
\n\nArguments:
\n\n\n- priority: Controls which outcome within the straight is returned,\nand which straight is picked if there is a tie for largest\nstraight.
\n
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int],\tpriority: Literal['low', 'high'] = 'high',\t/) -> Union[icepool.population.die.Die[tuple[int, int]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, int]]]:", "funcdef": "def"}, "icepool.MultisetExpression.all_straights": {"fullname": "icepool.MultisetExpression.all_straights", "modulename": "icepool", "qualname": "MultisetExpression.all_straights", "kind": "function", "doc": "Evaluation: The sizes of all straights.
\n\nThe sizes are in descending order.
\n\nEach element can only contribute to one straight, though duplicate\nelements can produces straights that overlap in outcomes. In this case,\nelements are preferentially assigned to the longer straight.
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int]) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.all_straights_reduce_counts": {"fullname": "icepool.MultisetExpression.all_straights_reduce_counts", "modulename": "icepool", "qualname": "MultisetExpression.all_straights_reduce_counts", "kind": "function", "doc": "Experimental: All straights with a reduce operation on the counts.
\n\nThis can be used to evaluate e.g. cribbage-style straight counting.
\n\nThe result is a tuple of (run_length, run_score)s.
\n", "signature": "(\tself: icepool.multiset_expression.MultisetExpression[int],\treducer: Callable[[int, int], int] = <built-in function mul>) -> Union[icepool.population.die.Die[tuple[tuple[int, int], ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[tuple[int, int], ...]]]:", "funcdef": "def"}, "icepool.MultisetExpression.argsort": {"fullname": "icepool.MultisetExpression.argsort", "modulename": "icepool", "qualname": "MultisetExpression.argsort", "kind": "function", "doc": "Experimental: Returns the indexes of the originating multisets for each rank in their additive union.
\n\nExample:
\n\n\n
MultisetExpression.argsort([10, 9, 5], [9, 9])\n
\n
produces
\n\n\n
((0,), (0, 1, 1), (0,))\n
\n
Arguments:
\n\n\n- self, *args: The multiset expressions to be evaluated.
\n- order: Which order the ranks are to be emitted. Default is descending.
\n- limit: How many ranks to emit. Default will emit all ranks, which\nmakes the length of each outcome equal to\n
additive_union(+self, +arg1, +arg2, ...).unique().count() \n
\n", "signature": "(\tself: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\torder: icepool.order.Order = <Order.Descending: -1>,\tlimit: int | None = None):", "funcdef": "def"}, "icepool.MultisetExpression.issubset": {"fullname": "icepool.MultisetExpression.issubset", "modulename": "icepool", "qualname": "MultisetExpression.issubset", "kind": "function", "doc": "Evaluation: Whether this multiset is a subset of the other multiset.
\n\nSpecifically, if this multiset has a lesser or equal count for each\noutcome than the other multiset, this evaluates to True; \nif there is some outcome for which this multiset has a greater count \nthan the other multiset, this evaluates to False.
\n\nissubset is the same as self <= other.
\n\nself < other evaluates a proper subset relation, which is the same\nexcept the result is False if the two multisets are exactly equal.
\n", "signature": "(\tself,\tother: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.issuperset": {"fullname": "icepool.MultisetExpression.issuperset", "modulename": "icepool", "qualname": "MultisetExpression.issuperset", "kind": "function", "doc": "Evaluation: Whether this multiset is a superset of the other multiset.
\n\nSpecifically, if this multiset has a greater or equal count for each\noutcome than the other multiset, this evaluates to True; \nif there is some outcome for which this multiset has a lesser count \nthan the other multiset, this evaluates to False.
\n\nA typical use of this evaluation is testing for the presence of a\ncombo of cards in a hand, e.g.
\n\n\n
deck.deal(5) >= ['a', 'a', 'b']\n
\n
represents the chance that a deal of 5 cards contains at least two 'a's\nand one 'b'.
\n\nissuperset is the same as self >= other.
\n\nself > other evaluates a proper superset relation, which is the same\nexcept the result is False if the two multisets are exactly equal.
\n", "signature": "(\tself,\tother: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.isdisjoint": {"fullname": "icepool.MultisetExpression.isdisjoint", "modulename": "icepool", "qualname": "MultisetExpression.isdisjoint", "kind": "function", "doc": "Evaluation: Whether this multiset is disjoint from the other multiset.
\n\nSpecifically, this evaluates to False if there is any outcome for\nwhich both multisets have positive count, and True if there is not.
\n\nNegative incoming counts are treated as zero counts.
\n", "signature": "(\tself,\tother: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, bool]]:", "funcdef": "def"}, "icepool.MultisetEvaluator": {"fullname": "icepool.MultisetEvaluator", "modulename": "icepool", "qualname": "MultisetEvaluator", "kind": "class", "doc": "An abstract, immutable, callable class for evaulating one or more input MultisetExpressions.
\n\nThere is one abstract method to implement: next_state().\nThis should incrementally calculate the result given one outcome at a time\nalong with how many of that outcome were produced.
\n\nAn example sequence of calls, as far as next_state() is concerned, is:
\n\n\nstate = next_state(state=None, outcome=1, count_of_1s)state = next_state(state, 2, count_of_2s)state = next_state(state, 3, count_of_3s)state = next_state(state, 4, count_of_4s)state = next_state(state, 5, count_of_5s)state = next_state(state, 6, count_of_6s)outcome = final_outcome(state)
\n\nA few other methods can optionally be overridden to further customize behavior.
\n\nIt is not expected that subclasses of MultisetEvaluator\nbe able to handle arbitrary types or numbers of inputs.\nIndeed, most are expected to handle only a fixed number of inputs,\nand often even only inputs with a particular outcome type.
\n\nInstances cache all intermediate state distributions.\nYou should therefore reuse instances when possible.
\n\nInstances should not be modified after construction\nin any way that affects the return values of these methods.\nOtherwise, values in the cache may be incorrect.
\n", "bases": "abc.ABC, typing.Generic[~T, +U_co]"}, "icepool.MultisetEvaluator.next_state": {"fullname": "icepool.MultisetEvaluator.next_state", "modulename": "icepool", "qualname": "MultisetEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the count of that outcome produced by each input.
\n\nevaluate() will always call this using only positional arguments.\nFurthermore, there is no expectation that a subclass be able to handle\nan arbitrary number of counts. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *counts with a fixed set\nof parameters.
\n\nMake sure to handle the base case where state is None.
\n\nStates must be hashable. At current, they do not have to be orderable.\nHowever, this may change in the future, and if they are not totally\norderable, you must override final_outcome to create totally orderable\nfinal outcomes.
\n\nBy default, this method may receive outcomes in any order:
\n\n\n- If you want to guarantee ascending or descending order, you can \nimplement
next_state_ascending() or next_state_descending() \ninstead. \n- Alternatively, implement
next_state() and override order() to\nreturn the necessary order. This is useful if the necessary order\ndepends on the instance. \n- If you want to handle either order, but have a different \nimplementation for each, override both
next_state_ascending() and \nnext_state_descending(). \n
\n\nThe behavior of returning a Die from next_state is currently\nundefined.
\n\nArguments:
\n\n\n- state: A hashable object indicating the state before rolling the\ncurrent outcome. If this is the first outcome being considered,\n
state will be None. \n- outcome: The current outcome.\n
next_state will see all rolled outcomes in monotonic order;\neither ascending or descending depending on order().\nIf there are multiple inputs, the set of outcomes is at \nleast the union of the outcomes of the invididual inputs. \nYou can use extra_outcomes() to add extra outcomes. \n- *counts: One value (usually an
int) for each input indicating how\nmany of the current outcome were produced. \n
\n\nReturns:
\n\n\n A hashable object indicating the next state.\n The special value icepool.Reroll can be used to immediately remove\n the state from consideration, effectively performing a full reroll.
\n
\n", "signature": "(self, state: Hashable, outcome: ~T, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.next_state_ascending": {"fullname": "icepool.MultisetEvaluator.next_state_ascending", "modulename": "icepool", "qualname": "MultisetEvaluator.next_state_ascending", "kind": "function", "doc": "As next_state() but handles outcomes in ascending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state: Hashable, outcome: ~T, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.next_state_descending": {"fullname": "icepool.MultisetEvaluator.next_state_descending", "modulename": "icepool", "qualname": "MultisetEvaluator.next_state_descending", "kind": "function", "doc": "As next_state() but handles outcomes in descending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state: Hashable, outcome: ~T, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.final_outcome": {"fullname": "icepool.MultisetEvaluator.final_outcome", "modulename": "icepool", "qualname": "MultisetEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(\tself,\tfinal_state: Hashable,\t/) -> Union[+U_co, icepool.population.die.Die[+U_co], icepool.typing.RerollType]:", "funcdef": "def"}, "icepool.MultisetEvaluator.order": {"fullname": "icepool.MultisetEvaluator.order", "modulename": "icepool", "qualname": "MultisetEvaluator.order", "kind": "function", "doc": "Optional method that specifies what outcome orderings this evaluator supports.
\n\nBy default, this is determined by which of next_state(), \nnext_state_ascending(), and next_state_descending() are\noverridden.
\n\nThis is most often overridden by subclasses whose iteration order is\ndetermined on a per-instance basis.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if outcomes are to be seen in ascending order.\n In this case either
next_state() or next_state_ascending()\n are implemented. \n - Order.Descending (= -1)\n if outcomes are to be seen in descending order.\n In this case either
next_state() or next_state_descending()\n are implemented. \n - Order.Any (= 0)\n if outcomes can be seen in any order.\n In this case either
next_state() or both\n next_state_ascending() and next_state_descending()\n are implemented. \n
\n
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.MultisetEvaluator.extra_outcomes": {"fullname": "icepool.MultisetEvaluator.extra_outcomes", "modulename": "icepool", "qualname": "MultisetEvaluator.extra_outcomes", "kind": "function", "doc": "Optional method to specify extra outcomes that should be seen as inputs to next_state().
\n\nThese will be seen by next_state even if they do not appear in the\ninput(s). The default implementation returns (), or no additional\noutcomes.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nextra_outcomes = icepool.MultisetEvaluator.consecutive.\nSee consecutive() below.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the inputs, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes: Sequence[~T]) -> Collection[~T]:", "funcdef": "def"}, "icepool.MultisetEvaluator.consecutive": {"fullname": "icepool.MultisetEvaluator.consecutive", "modulename": "icepool", "qualname": "MultisetEvaluator.consecutive", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.MultisetEvaluator.bound_inputs": {"fullname": "icepool.MultisetEvaluator.bound_inputs", "modulename": "icepool", "qualname": "MultisetEvaluator.bound_inputs", "kind": "function", "doc": "An optional sequence of extra inputs whose counts will be prepended to *counts.
\n\n(Prepending rather than appending is analogous to functools.partial.)
\n", "signature": "(self) -> tuple[icepool.multiset_expression.MultisetExpression, ...]:", "funcdef": "def"}, "icepool.MultisetEvaluator.evaluate": {"fullname": "icepool.MultisetEvaluator.evaluate", "modulename": "icepool", "qualname": "MultisetEvaluator.evaluate", "kind": "function", "doc": "Evaluates input expression(s).
\n\nYou can call the MultisetEvaluator object directly for the same effect,\ne.g. sum_evaluator(input) is an alias for sum_evaluator.evaluate(input).
\n\nMost evaluators will expect a fixed number of input multisets.\nThe union of the outcomes of the input(s) must be totally orderable.
\n\nArguments:
\n\n\n- *args: Each may be one of the following:\n
\n- A
MultisetExpression. \n- A mappable mapping outcomes to the number of those outcomes.
\n- A sequence of outcomes.
\n
\n
\n\nReturns:
\n\n\n A Die representing the distribution of the final outcome if no\n arg contains a free variable. Otherwise, returns a new evaluator.
\n
\n", "signature": "(\tself,\t*args: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]) -> Union[icepool.population.die.Die[+U_co], icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co]]:", "funcdef": "def"}, "icepool.MultisetEvaluator.sample": {"fullname": "icepool.MultisetEvaluator.sample", "modulename": "icepool", "qualname": "MultisetEvaluator.sample", "kind": "function", "doc": "EXPERIMENTAL: Samples one result from the input(s) and evaluates the result.
\n", "signature": "(\tself,\t*inputs: Union[icepool.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]]):", "funcdef": "def"}, "icepool.Order": {"fullname": "icepool.Order", "modulename": "icepool", "qualname": "Order", "kind": "class", "doc": "Can be used to define what order outcomes are seen in by MultisetEvaluators.
\n", "bases": "enum.IntEnum"}, "icepool.Order.Ascending": {"fullname": "icepool.Order.Ascending", "modulename": "icepool", "qualname": "Order.Ascending", "kind": "variable", "doc": "\n", "default_value": "<Order.Ascending: 1>"}, "icepool.Order.Descending": {"fullname": "icepool.Order.Descending", "modulename": "icepool", "qualname": "Order.Descending", "kind": "variable", "doc": "\n", "default_value": "<Order.Descending: -1>"}, "icepool.Order.Any": {"fullname": "icepool.Order.Any", "modulename": "icepool", "qualname": "Order.Any", "kind": "variable", "doc": "\n", "default_value": "<Order.Any: 0>"}, "icepool.Order.merge": {"fullname": "icepool.Order.merge", "modulename": "icepool", "qualname": "Order.merge", "kind": "function", "doc": "Merges the given Orders.
\n\nReturns:
\n\n\n Any if all arguments are Any.\n Ascending if there is at least one Ascending in the arguments.\n Descending if there is at least one Descending in the arguments.
\n
\n\nRaises:
\n\n\nConflictingOrderError if both Ascending and Descending are in - the arguments.
\n
\n", "signature": "(*orders: icepool.order.Order) -> icepool.order.Order:", "funcdef": "def"}, "icepool.Deck": {"fullname": "icepool.Deck", "modulename": "icepool", "qualname": "Deck", "kind": "class", "doc": "Sampling without replacement (within a single evaluation).
\n\nQuantities represent duplicates.
\n", "bases": "icepool.population.base.Population[+T_co]"}, "icepool.Deck.__init__": {"fullname": "icepool.Deck.__init__", "modulename": "icepool", "qualname": "Deck.__init__", "kind": "function", "doc": "Constructor for a Deck.
\n\nAll quantities must be non-negative. Outcomes with zero quantity will be\nomitted.
\n\nArguments:
\n\n\n", "signature": "(\toutcomes: Union[Sequence, Mapping[Any, int]],\ttimes: Union[Sequence[int], int] = 1)"}, "icepool.Deck.keys": {"fullname": "icepool.Deck.keys", "modulename": "icepool", "qualname": "Deck.keys", "kind": "function", "doc": "The outcomes within the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[+T_co]:", "funcdef": "def"}, "icepool.Deck.values": {"fullname": "icepool.Deck.values", "modulename": "icepool", "qualname": "Deck.values", "kind": "function", "doc": "The quantities within the population in outcome order.
\n", "signature": "(self) -> icepool.collection.counts.CountsValuesView:", "funcdef": "def"}, "icepool.Deck.items": {"fullname": "icepool.Deck.items", "modulename": "icepool", "qualname": "Deck.items", "kind": "function", "doc": "The (outcome, quantity)s of the population in sorted order.
\n", "signature": "(self) -> icepool.collection.counts.CountsItemsView[+T_co]:", "funcdef": "def"}, "icepool.Deck.size": {"fullname": "icepool.Deck.size", "modulename": "icepool", "qualname": "Deck.size", "kind": "function", "doc": "The sum of all quantities (e.g. weights or duplicates).
\n\nFor the number of unique outcomes, use len().
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deck.deal": {"fullname": "icepool.Deck.deal", "modulename": "icepool", "qualname": "Deck.deal", "kind": "function", "doc": "Creates a Deal object from this deck.
\n\nSee Deal() for details.
\n", "signature": "(\tself,\t*hand_sizes: int) -> Union[icepool.generator.deal.Deal[+T_co], icepool.generator.multi_deal.MultiDeal[+T_co, tuple[int, ...]]]:", "funcdef": "def"}, "icepool.Deck.additive_union": {"fullname": "icepool.Deck.additive_union", "modulename": "icepool", "qualname": "Deck.additive_union", "kind": "function", "doc": "Both decks merged together.
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.difference": {"fullname": "icepool.Deck.difference", "modulename": "icepool", "qualname": "Deck.difference", "kind": "function", "doc": "This deck with the other cards removed (but not below zero of each card).
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.intersection": {"fullname": "icepool.Deck.intersection", "modulename": "icepool", "qualname": "Deck.intersection", "kind": "function", "doc": "The cards that both decks have.
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.union": {"fullname": "icepool.Deck.union", "modulename": "icepool", "qualname": "Deck.union", "kind": "function", "doc": "As many of each card as the deck that has more of them.
\n", "signature": "(\tself,\t*args: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.symmetric_difference": {"fullname": "icepool.Deck.symmetric_difference", "modulename": "icepool", "qualname": "Deck.symmetric_difference", "kind": "function", "doc": "As many of each card as the deck that has more of them.
\n", "signature": "(\tself,\tother: Union[Iterable[+T_co], Mapping[+T_co, int]]) -> icepool.population.deck.Deck[+T_co]:", "funcdef": "def"}, "icepool.Deck.map": {"fullname": "icepool.Deck.map", "modulename": "icepool", "qualname": "Deck.map", "kind": "function", "doc": "Maps outcomes of this Deck to other outcomes.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable returning a new outcome for each old outcome.
\n- A map from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nThe new outcomes may be
Decks, in which case one card is\nreplaced with several. This is not recommended. \n
\n- star: Whether outcomes should be unpacked into separate arguments\nbefore sending them to a callable
repl.\nIf not provided, this will be guessed based on the function\nsignature. \n
\n", "signature": "(\tself,\trepl: Union[Callable[..., Union[~U, icepool.population.deck.Deck[~U], icepool.typing.RerollType]], Mapping[+T_co, Union[~U, icepool.population.deck.Deck[~U], icepool.typing.RerollType]]],\t/,\tstar: bool | None = None) -> icepool.population.deck.Deck[~U]:", "funcdef": "def"}, "icepool.Deck.sequence": {"fullname": "icepool.Deck.sequence", "modulename": "icepool", "qualname": "Deck.sequence", "kind": "function", "doc": "Possible sequences produced by dealing from this deck a number of times.
\n\nThis is extremely expensive computationally. If you don't care about\norder, use deal() instead.
\n", "signature": "(self, deals: int, /) -> icepool.population.die.Die[tuple[+T_co, ...]]:", "funcdef": "def"}, "icepool.Deal": {"fullname": "icepool.Deal", "modulename": "icepool", "qualname": "Deal", "kind": "class", "doc": "Represents an unordered deal of a single hand from a Deck.
\n", "bases": "icepool.generator.keep.KeepGenerator[~T]"}, "icepool.Deal.__init__": {"fullname": "icepool.Deal.__init__", "modulename": "icepool", "qualname": "Deal.__init__", "kind": "function", "doc": "Constructor.
\n\nFor algorithmic reasons, you must pre-commit to the number of cards to\ndeal.
\n\nIt is permissible to deal zero cards from an empty deck, but not all\nevaluators will handle this case, especially if they depend on the\noutcome type. Dealing zero cards from a non-empty deck does not have\nthis issue.
\n\nArguments:
\n\n\n- deck: The
Deck to deal from. \n- hand_size: How many cards to deal.
\n
\n", "signature": "(deck: icepool.population.deck.Deck[~T], hand_size: int)"}, "icepool.Deal.deck": {"fullname": "icepool.Deal.deck", "modulename": "icepool", "qualname": "Deal.deck", "kind": "function", "doc": "The Deck the cards are dealt from.
\n", "signature": "(self) -> icepool.population.deck.Deck[~T]:", "funcdef": "def"}, "icepool.Deal.hand_sizes": {"fullname": "icepool.Deal.hand_sizes", "modulename": "icepool", "qualname": "Deal.hand_sizes", "kind": "function", "doc": "The number of cards dealt to each hand as a tuple.
\n", "signature": "(self) -> tuple[int, ...]:", "funcdef": "def"}, "icepool.Deal.total_cards_dealt": {"fullname": "icepool.Deal.total_cards_dealt", "modulename": "icepool", "qualname": "Deal.total_cards_dealt", "kind": "function", "doc": "The total number of cards dealt.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deal.outcomes": {"fullname": "icepool.Deal.outcomes", "modulename": "icepool", "qualname": "Deal.outcomes", "kind": "function", "doc": "The outcomes of the Deck in ascending order.
\n\nThese are also the keys of the Deck as a Mapping.\nPrefer to use the name outcomes.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[~T]:", "funcdef": "def"}, "icepool.Deal.output_arity": {"fullname": "icepool.Deal.output_arity", "modulename": "icepool", "qualname": "Deal.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deal.denominator": {"fullname": "icepool.Deal.denominator", "modulename": "icepool", "qualname": "Deal.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Deal.local_order_preference": {"fullname": "icepool.Deal.local_order_preference", "modulename": "icepool", "qualname": "Deal.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.MultiDeal": {"fullname": "icepool.MultiDeal", "modulename": "icepool", "qualname": "MultiDeal", "kind": "class", "doc": "Represents an unordered deal of multiple hands from a Deck.
\n", "bases": "icepool.generator.multiset_generator.MultisetGenerator[~T, ~Qs]"}, "icepool.MultiDeal.__init__": {"fullname": "icepool.MultiDeal.__init__", "modulename": "icepool", "qualname": "MultiDeal.__init__", "kind": "function", "doc": "Constructor.
\n\nFor algorithmic reasons, you must pre-commit to the number of cards to\ndeal for each hand.
\n\nIt is permissible to deal zero cards from an empty deck, but not all\nevaluators will handle this case, especially if they depend on the\noutcome type. Dealing zero cards from a non-empty deck does not have\nthis issue.
\n\nArguments:
\n\n\n- deck: The
Deck to deal from. \n- *hand_sizes: How many cards to deal. If multiple
hand_sizes are\nprovided, MultisetEvaluator.next_state will recieve one count\nper hand in order. Try to keep the number of hands to a minimum\nas this can be computationally intensive. \n
\n", "signature": "(deck: icepool.population.deck.Deck[~T], *hand_sizes: int)"}, "icepool.MultiDeal.deck": {"fullname": "icepool.MultiDeal.deck", "modulename": "icepool", "qualname": "MultiDeal.deck", "kind": "function", "doc": "The Deck the cards are dealt from.
\n", "signature": "(self) -> icepool.population.deck.Deck[~T]:", "funcdef": "def"}, "icepool.MultiDeal.hand_sizes": {"fullname": "icepool.MultiDeal.hand_sizes", "modulename": "icepool", "qualname": "MultiDeal.hand_sizes", "kind": "function", "doc": "The number of cards dealt to each hand as a tuple.
\n", "signature": "(self) -> ~Qs:", "funcdef": "def"}, "icepool.MultiDeal.total_cards_dealt": {"fullname": "icepool.MultiDeal.total_cards_dealt", "modulename": "icepool", "qualname": "MultiDeal.total_cards_dealt", "kind": "function", "doc": "The total number of cards dealt.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultiDeal.outcomes": {"fullname": "icepool.MultiDeal.outcomes", "modulename": "icepool", "qualname": "MultiDeal.outcomes", "kind": "function", "doc": "The outcomes of the Deck in ascending order.
\n\nThese are also the keys of the Deck as a Mapping.\nPrefer to use the name outcomes.
\n", "signature": "(self) -> icepool.collection.counts.CountsKeysView[~T]:", "funcdef": "def"}, "icepool.MultiDeal.output_arity": {"fullname": "icepool.MultiDeal.output_arity", "modulename": "icepool", "qualname": "MultiDeal.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultiDeal.denominator": {"fullname": "icepool.MultiDeal.denominator", "modulename": "icepool", "qualname": "MultiDeal.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n\nRaises:
\n\n\n- UnboundMultisetExpressionError if this is called on an expression with free variables.
\n
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultiDeal.local_order_preference": {"fullname": "icepool.MultiDeal.local_order_preference", "modulename": "icepool", "qualname": "MultiDeal.local_order_preference", "kind": "function", "doc": "Any ordering that is preferred or required by this expression node.
\n", "signature": "(self) -> tuple[icepool.order.Order, icepool.order.OrderReason]:", "funcdef": "def"}, "icepool.multiset_function": {"fullname": "icepool.multiset_function", "modulename": "icepool", "qualname": "multiset_function", "kind": "function", "doc": "EXPERIMENTAL: A decorator that turns a function into a MultisetEvaluator.
\n\nThe provided function should take in arguments representing multisets,\ndo a limited set of operations on them (see MultisetExpression), and\nfinish off with an evaluation. You can return tuples to perform a joint\nevaluation.
\n\nFor example, to create an evaluator which computes the elements each of two\nmultisets has that the other doesn't:
\n\n\n
@multiset_function\ndef two_way_difference(a, b):\n return (a - b).expand(), (b - a).expand()\n
\n
Any globals inside function are effectively bound at the time\nmultiset_function is invoked. Note that this is different than how\nordinary Python closures behave. For example,
\n\n\n
target = [1, 2, 3]\n\n@multiset_function\ndef count_intersection(a):\n return (a & target).count()\n\nprint(count_intersection(d6.pool(3)))\n\ntarget = [1]\nprint(count_intersection(d6.pool(3)))\n
\n
would produce the same thing both times. Likewise, the function should not\nhave any side effects.
\n\nBe careful when using control structures: you cannot branch on the value of\na multiset expression or evaluation, so e.g.
\n\n\n
@multiset_function\ndef bad(a, b)\n if a == b:\n ...\n
\n
is not allowed.
\n\nmultiset_function has considerable overhead, being effectively a\nmini-language within Python. For better performance, you can try\nimplementing your own subclass of MultisetEvaluator directly.
\n\nArguments:
\n\n\n- function: This should take in a fixed number of multiset variables and\noutput an evaluator or a nested tuple of evaluators. Tuples will\nresult in a
JointEvaluator. \n
\n", "signature": "(\tfunction: Callable[..., Union[icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co], tuple[Union[icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co], tuple[ForwardRef('NestedTupleOrEvaluator[T, U_co]'), ...]], ...]]],\t/) -> icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, typing.Union[+U_co, tuple[typing.Union[+U_co, tuple[ForwardRef('NestedTupleOrOutcome[U_co]'), ...]], ...]]]:", "funcdef": "def"}, "icepool.format_probability_inverse": {"fullname": "icepool.format_probability_inverse", "modulename": "icepool", "qualname": "format_probability_inverse", "kind": "function", "doc": "EXPERIMENTAL: Formats the inverse of a value as \"1 in N\".
\n\nArguments:
\n\n\n- probability: The value to be formatted.
\n- int_start: If N = 1 / probability is between this value and 1 million\ntimes this value it will be formatted as an integer. Otherwise it \nbe formatted asa float with precision at least 1 part in int_start.
\n
\n", "signature": "(probability, /, int_start: int = 20):", "funcdef": "def"}, "icepool.evaluator": {"fullname": "icepool.evaluator", "modulename": "icepool.evaluator", "kind": "module", "doc": "Submodule containing evaluators.
\n"}, "icepool.evaluator.JointEvaluator": {"fullname": "icepool.evaluator.JointEvaluator", "modulename": "icepool.evaluator", "qualname": "JointEvaluator", "kind": "class", "doc": "A MultisetEvaluator that jointly evaluates sub-evaluators on the same set of input generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, tuple]"}, "icepool.evaluator.JointEvaluator.__init__": {"fullname": "icepool.evaluator.JointEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*sub_evaluators: icepool.evaluator.multiset_evaluator.MultisetEvaluator)"}, "icepool.evaluator.JointEvaluator.next_state": {"fullname": "icepool.evaluator.JointEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.next_state", "kind": "function", "doc": "Runs next_state for all sub-evaluator.
\n\nThe state is a tuple of the sub-states.
\n\nIf any sub-evaluator returns Reroll, the result as a whole is Reroll.
\n", "signature": "(self, state, outcome, *counts):", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.final_outcome": {"fullname": "icepool.evaluator.JointEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.final_outcome", "kind": "function", "doc": "Runs final_state for all sub-evaluators.
\n\nThe final outcome is a tuple of the final suboutcomes.
\n\nIf any sub-evaluator returns Reroll, the result as a whole is Reroll.
\n", "signature": "(self, final_state) -> tuple | icepool.typing.RerollType:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.order": {"fullname": "icepool.evaluator.JointEvaluator.order", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.order", "kind": "function", "doc": "Determines the common order of the sub-evaluators.
\n\nRaises:
\n\n\n- ValueError: If sub-evaluators have conflicting orders, i.e. some are\nascending and others are descending.
\n
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.JointEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.extra_outcomes", "kind": "function", "doc": "Optional method to specify extra outcomes that should be seen as inputs to next_state().
\n\nThese will be seen by next_state even if they do not appear in the\ninput(s). The default implementation returns (), or no additional\noutcomes.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nextra_outcomes = icepool.MultisetEvaluator.consecutive.\nSee consecutive() below.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the inputs, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes) -> Collection[~T]:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.bound_inputs": {"fullname": "icepool.evaluator.JointEvaluator.bound_inputs", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.bound_inputs", "kind": "function", "doc": "An optional sequence of extra inputs whose counts will be prepended to *counts.
\n\n(Prepending rather than appending is analogous to functools.partial.)
\n", "signature": "(self) -> tuple[icepool.multiset_expression.MultisetExpression, ...]:", "funcdef": "def"}, "icepool.evaluator.ExpandEvaluator": {"fullname": "icepool.evaluator.ExpandEvaluator", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator", "kind": "class", "doc": "All elements of the multiset.
\n\nThis is expensive and not recommended unless there are few possibilities.
\n\nOutcomes with negative count will be treated as 0 count.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple]"}, "icepool.evaluator.ExpandEvaluator.__init__": {"fullname": "icepool.evaluator.ExpandEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(order: icepool.order.Order = <Order.Ascending: 1>)"}, "icepool.evaluator.ExpandEvaluator.next_state": {"fullname": "icepool.evaluator.ExpandEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.ExpandEvaluator.final_outcome": {"fullname": "icepool.evaluator.ExpandEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple:", "funcdef": "def"}, "icepool.evaluator.SumEvaluator": {"fullname": "icepool.evaluator.SumEvaluator", "modulename": "icepool.evaluator", "qualname": "SumEvaluator", "kind": "class", "doc": "Sums all outcomes.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, typing.Any]"}, "icepool.evaluator.SumEvaluator.__init__": {"fullname": "icepool.evaluator.SumEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "SumEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nmap: If provided, outcomes will be mapped according to this just\n before summing.
\n", "signature": "(map: Union[Callable, Mapping, NoneType] = None)"}, "icepool.evaluator.SumEvaluator.next_state": {"fullname": "icepool.evaluator.SumEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "SumEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.sum_evaluator": {"fullname": "icepool.evaluator.sum_evaluator", "modulename": "icepool.evaluator", "qualname": "sum_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.basic.SumEvaluator object>"}, "icepool.evaluator.CountEvaluator": {"fullname": "icepool.evaluator.CountEvaluator", "modulename": "icepool.evaluator", "qualname": "CountEvaluator", "kind": "class", "doc": "Returns the total count of outcomes.
\n\nUsually not very interesting unless the counts are adjusted by\nunique etc.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.CountEvaluator.next_state": {"fullname": "icepool.evaluator.CountEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "CountEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.CountEvaluator.final_outcome": {"fullname": "icepool.evaluator.CountEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "CountEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> int:", "funcdef": "def"}, "icepool.evaluator.count_evaluator": {"fullname": "icepool.evaluator.count_evaluator", "modulename": "icepool.evaluator", "qualname": "count_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.basic.CountEvaluator object>"}, "icepool.evaluator.AnyEvaluator": {"fullname": "icepool.evaluator.AnyEvaluator", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator", "kind": "class", "doc": "Returns True iff at least one count is positive.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.AnyEvaluator.next_state": {"fullname": "icepool.evaluator.AnyEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.AnyEvaluator.final_outcome": {"fullname": "icepool.evaluator.AnyEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> bool:", "funcdef": "def"}, "icepool.evaluator.any_evaluator": {"fullname": "icepool.evaluator.any_evaluator", "modulename": "icepool.evaluator", "qualname": "any_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.basic.AnyEvaluator object>"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator", "kind": "class", "doc": "The highest outcome that has positive count, along with that count.
\n\nIf no outcomes have positive count, the result is the min outcome with a count of 0.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[typing.Any, int]]"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator.next_state": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.extra_outcomes", "kind": "function", "doc": "Always sees zero counts.
\n", "signature": "(self, outcomes: Sequence) -> Collection:", "funcdef": "def"}, "icepool.evaluator.highest_outcome_and_count_evaluator": {"fullname": "icepool.evaluator.highest_outcome_and_count_evaluator", "modulename": "icepool.evaluator", "qualname": "highest_outcome_and_count_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.HighestOutcomeAndCountEvaluator object>"}, "icepool.evaluator.LargestCountEvaluator": {"fullname": "icepool.evaluator.LargestCountEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestCountEvaluator", "kind": "class", "doc": "The largest count of any outcome.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.LargestCountEvaluator.next_state": {"fullname": "icepool.evaluator.LargestCountEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestCountEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.largest_count_evaluator": {"fullname": "icepool.evaluator.largest_count_evaluator", "modulename": "icepool.evaluator", "qualname": "largest_count_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestCountEvaluator object>"}, "icepool.evaluator.LargestCountAndOutcomeEvaluator": {"fullname": "icepool.evaluator.LargestCountAndOutcomeEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestCountAndOutcomeEvaluator", "kind": "class", "doc": "The largest count of any outcome, along with that outcome.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[int, typing.Any]]"}, "icepool.evaluator.LargestCountAndOutcomeEvaluator.next_state": {"fullname": "icepool.evaluator.LargestCountAndOutcomeEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestCountAndOutcomeEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.largest_count_and_outcome_evaluator": {"fullname": "icepool.evaluator.largest_count_and_outcome_evaluator", "modulename": "icepool.evaluator", "qualname": "largest_count_and_outcome_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestCountAndOutcomeEvaluator object>"}, "icepool.evaluator.CountSubsetEvaluator": {"fullname": "icepool.evaluator.CountSubsetEvaluator", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator", "kind": "class", "doc": "The number of times the right side is contained in the left side.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.CountSubsetEvaluator.__init__": {"fullname": "icepool.evaluator.CountSubsetEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator.__init__", "kind": "function", "doc": "Arguments:
\n\n\n- empty_divisor: If the divisor is empty, the outcome will be this.\nIf not set,
ZeroDivisionError will be raised for an empty\nright side. \n
\n", "signature": "(*, empty_divisor: int | None = None)"}, "icepool.evaluator.CountSubsetEvaluator.next_state": {"fullname": "icepool.evaluator.CountSubsetEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the count of that outcome produced by each input.
\n\nevaluate() will always call this using only positional arguments.\nFurthermore, there is no expectation that a subclass be able to handle\nan arbitrary number of counts. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *counts with a fixed set\nof parameters.
\n\nMake sure to handle the base case where state is None.
\n\nStates must be hashable. At current, they do not have to be orderable.\nHowever, this may change in the future, and if they are not totally\norderable, you must override final_outcome to create totally orderable\nfinal outcomes.
\n\nBy default, this method may receive outcomes in any order:
\n\n\n- If you want to guarantee ascending or descending order, you can \nimplement
next_state_ascending() or next_state_descending() \ninstead. \n- Alternatively, implement
next_state() and override order() to\nreturn the necessary order. This is useful if the necessary order\ndepends on the instance. \n- If you want to handle either order, but have a different \nimplementation for each, override both
next_state_ascending() and \nnext_state_descending(). \n
\n\nThe behavior of returning a Die from next_state is currently\nundefined.
\n\nArguments:
\n\n\n- state: A hashable object indicating the state before rolling the\ncurrent outcome. If this is the first outcome being considered,\n
state will be None. \n- outcome: The current outcome.\n
next_state will see all rolled outcomes in monotonic order;\neither ascending or descending depending on order().\nIf there are multiple inputs, the set of outcomes is at \nleast the union of the outcomes of the invididual inputs. \nYou can use extra_outcomes() to add extra outcomes. \n- *counts: One value (usually an
int) for each input indicating how\nmany of the current outcome were produced. \n
\n\nReturns:
\n\n\n A hashable object indicating the next state.\n The special value icepool.Reroll can be used to immediately remove\n the state from consideration, effectively performing a full reroll.
\n
\n", "signature": "(self, state, _, left, right):", "funcdef": "def"}, "icepool.evaluator.CountSubsetEvaluator.final_outcome": {"fullname": "icepool.evaluator.CountSubsetEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "CountSubsetEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(self, final_state):", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator": {"fullname": "icepool.evaluator.AllCountsEvaluator", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator", "kind": "class", "doc": "All counts in descending order.
\n\nIn other words, this produces tuples of the sizes of all matching sets.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[int, ...]]"}, "icepool.evaluator.AllCountsEvaluator.__init__": {"fullname": "icepool.evaluator.AllCountsEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.__init__", "kind": "function", "doc": "Arguments:
\n\n\n- filter: Any counts below this value will not be in the output.\nFor example,
filter=2 will only produce pairs and better.\nIf None, no filtering will be done. \n
\n", "signature": "(*, filter: Union[int, Literal['all']] = 1)"}, "icepool.evaluator.AllCountsEvaluator.next_state": {"fullname": "icepool.evaluator.AllCountsEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator.final_outcome": {"fullname": "icepool.evaluator.AllCountsEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple:", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.AllCountsEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.extra_outcomes", "kind": "function", "doc": "Always sees zero counts.
\n", "signature": "(self, outcomes: Sequence) -> Collection:", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator": {"fullname": "icepool.evaluator.LargestStraightEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator", "kind": "class", "doc": "The size of the largest straight.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, int]"}, "icepool.evaluator.LargestStraightEvaluator.next_state": {"fullname": "icepool.evaluator.LargestStraightEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator.final_outcome": {"fullname": "icepool.evaluator.LargestStraightEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> int:", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.LargestStraightEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.largest_straight_evaluator": {"fullname": "icepool.evaluator.largest_straight_evaluator", "modulename": "icepool.evaluator", "qualname": "largest_straight_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestStraightEvaluator object>"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator", "kind": "class", "doc": "The size of the largest straight among the elements and the highest (optionally, lowest) outcome in that straight.
\n\nStraight size is prioritized first, then the outcome.
\n\nOutcomes must be ints.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, int]]"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.__init__": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nArguments:
\n\n\n- priority: Controls which outcome within the straight is returned,\nand which straight is picked if there is a tie for largest\nstraight.
\n
\n", "signature": "(priority: Literal['low', 'high'])"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_ascending": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_ascending", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.next_state_ascending", "kind": "function", "doc": "As next_state() but handles outcomes in ascending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_descending": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state_descending", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.next_state_descending", "kind": "function", "doc": "As next_state() but handles outcomes in descending order only.
\n\nYou can implement both next_state_ascending() and \nnext_state_descending() if you want to handle both outcome orders\nwith a separate implementation for each.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.final_outcome": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(self, final_state) -> tuple[int, int]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.largest_straight_and_outcome_evaluator_low": {"fullname": "icepool.evaluator.largest_straight_and_outcome_evaluator_low", "modulename": "icepool.evaluator", "qualname": "largest_straight_and_outcome_evaluator_low", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestStraightAndOutcomeEvaluator object>"}, "icepool.evaluator.largest_straight_and_outcome_evaluator_high": {"fullname": "icepool.evaluator.largest_straight_and_outcome_evaluator_high", "modulename": "icepool.evaluator", "qualname": "largest_straight_and_outcome_evaluator_high", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.LargestStraightAndOutcomeEvaluator object>"}, "icepool.evaluator.AllStraightsEvaluator": {"fullname": "icepool.evaluator.AllStraightsEvaluator", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator", "kind": "class", "doc": "The sizes of all straights in descending order.
\n\nEach element can only contribute to one straight, though duplicate\nelements can produces straights that overlap in outcomes. In this case,\nelements are preferentially assigned to the longer straight.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, ...]]"}, "icepool.evaluator.AllStraightsEvaluator.next_state": {"fullname": "icepool.evaluator.AllStraightsEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.AllStraightsEvaluator.final_outcome": {"fullname": "icepool.evaluator.AllStraightsEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple[int, ...]:", "funcdef": "def"}, "icepool.evaluator.AllStraightsEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.AllStraightsEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.all_straights_evaluator": {"fullname": "icepool.evaluator.all_straights_evaluator", "modulename": "icepool.evaluator", "qualname": "all_straights_evaluator", "kind": "variable", "doc": "\n", "default_value": "<icepool.evaluator.poker.AllStraightsEvaluator object>"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator", "kind": "class", "doc": "All straights with a reduce operation on the counts.
\n\nThis can be used to evaluate e.g. cribbage-style straight counting.
\n\nThe result is a tuple of (run_length, run_score)s.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[tuple[int, int], ...]]"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.__init__": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nArguments:
\n\n\n- reducer: How to reduce the counts within each straight. The default\nis
operator.mul, which counts the number of ways to pick\nelements for each straight, e.g. cribbage. \n
\n", "signature": "(reducer: Callable[[int, int], int] = <built-in function mul>)"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.next_state": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, count):", "funcdef": "def"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.final_outcome": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> tuple[tuple[int, int], ...]:", "funcdef": "def"}, "icepool.evaluator.AllStraightsReduceCountsEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.AllStraightsReduceCountsEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "AllStraightsReduceCountsEvaluator.extra_outcomes", "kind": "function", "doc": "Example implementation of extra_outcomes() that produces consecutive int outcomes.
\n\nSet extra_outcomes = icepool.MultisetEvaluator.consecutive to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the inputs,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any input has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator": {"fullname": "icepool.evaluator.ComparisonEvaluator", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.ComparisonEvaluator.any_all": {"fullname": "icepool.evaluator.ComparisonEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator.default_outcome": {"fullname": "icepool.evaluator.ComparisonEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator.next_state": {"fullname": "icepool.evaluator.ComparisonEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, left, right):", "funcdef": "def"}, "icepool.evaluator.ComparisonEvaluator.final_outcome": {"fullname": "icepool.evaluator.ComparisonEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state) -> bool:", "funcdef": "def"}, "icepool.evaluator.IsSubsetEvaluator": {"fullname": "icepool.evaluator.IsSubsetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsSubsetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsSubsetEvaluator.any_all": {"fullname": "icepool.evaluator.IsSubsetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsSubsetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsSubsetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsSubsetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsSubsetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsProperSubsetEvaluator": {"fullname": "icepool.evaluator.IsProperSubsetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsProperSubsetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsProperSubsetEvaluator.any_all": {"fullname": "icepool.evaluator.IsProperSubsetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsProperSubsetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsProperSubsetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsProperSubsetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsProperSubsetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsSupersetEvaluator": {"fullname": "icepool.evaluator.IsSupersetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsSupersetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsSupersetEvaluator.any_all": {"fullname": "icepool.evaluator.IsSupersetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsSupersetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsSupersetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsSupersetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsSupersetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsProperSupersetEvaluator": {"fullname": "icepool.evaluator.IsProperSupersetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsProperSupersetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsProperSupersetEvaluator.any_all": {"fullname": "icepool.evaluator.IsProperSupersetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsProperSupersetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsProperSupersetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsProperSupersetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsProperSupersetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsEqualSetEvaluator": {"fullname": "icepool.evaluator.IsEqualSetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsEqualSetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsEqualSetEvaluator.any_all": {"fullname": "icepool.evaluator.IsEqualSetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsEqualSetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsEqualSetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsEqualSetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsEqualSetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsNotEqualSetEvaluator": {"fullname": "icepool.evaluator.IsNotEqualSetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsNotEqualSetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsNotEqualSetEvaluator.any_all": {"fullname": "icepool.evaluator.IsNotEqualSetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsNotEqualSetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsNotEqualSetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsNotEqualSetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsNotEqualSetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.IsDisjointSetEvaluator": {"fullname": "icepool.evaluator.IsDisjointSetEvaluator", "modulename": "icepool.evaluator", "qualname": "IsDisjointSetEvaluator", "kind": "class", "doc": "Compares the multisets produced by two generators.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, bool]"}, "icepool.evaluator.IsDisjointSetEvaluator.any_all": {"fullname": "icepool.evaluator.IsDisjointSetEvaluator.any_all", "modulename": "icepool.evaluator", "qualname": "IsDisjointSetEvaluator.any_all", "kind": "function", "doc": "Called for each outcome and produces a pair of bools.
\n\nThe final outcome is true iff any of the first and all of the second\nbool are True.
\n", "signature": "(self, left: int, right: int) -> tuple[bool, bool]:", "funcdef": "def"}, "icepool.evaluator.IsDisjointSetEvaluator.default_outcome": {"fullname": "icepool.evaluator.IsDisjointSetEvaluator.default_outcome", "modulename": "icepool.evaluator", "qualname": "IsDisjointSetEvaluator.default_outcome", "kind": "function", "doc": "The final outcome if both left and right have no outcomes.
\n", "signature": "() -> bool:", "funcdef": "def"}, "icepool.evaluator.KeepEvaluator": {"fullname": "icepool.evaluator.KeepEvaluator", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator", "kind": "class", "doc": "Produces the outcome at a given sorted index.
\n\nThe attached generator or expression must produce enough values to reach\nthe sorted index; otherwise, this raises IndexError.
\n\nNegative incoming counts are treated as zero counts.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, typing.Any]"}, "icepool.evaluator.KeepEvaluator.__init__": {"fullname": "icepool.evaluator.KeepEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.__init__", "kind": "function", "doc": "Constructor.
\n\nArguments:
\n\n\n- index: The index to keep.\n
\n- If non-negative, this runs in ascending order.
\n- If negative, this runs in descending order.
\n- If
None, this assumes only one element is produced. \n
\n
\n", "signature": "(index: int | None = None)"}, "icepool.evaluator.KeepEvaluator.next_state": {"fullname": "icepool.evaluator.KeepEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, outcome, count):", "funcdef": "def"}, "icepool.evaluator.KeepEvaluator.final_outcome": {"fullname": "icepool.evaluator.KeepEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.final_outcome", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, final_state):", "funcdef": "def"}, "icepool.evaluator.KeepEvaluator.order": {"fullname": "icepool.evaluator.KeepEvaluator.order", "modulename": "icepool.evaluator", "qualname": "KeepEvaluator.order", "kind": "function", "doc": "The required order is determined by whether the index is negative.
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.evaluator.ArgsortEvaluator": {"fullname": "icepool.evaluator.ArgsortEvaluator", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator", "kind": "class", "doc": "Returns the indexes of the originating multisets for each rank in their additive union.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, tuple[tuple[int, ...], ...]]"}, "icepool.evaluator.ArgsortEvaluator.__init__": {"fullname": "icepool.evaluator.ArgsortEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*,\torder: icepool.order.Order = <Order.Descending: -1>,\tlimit: int | None = None)"}, "icepool.evaluator.ArgsortEvaluator.next_state": {"fullname": "icepool.evaluator.ArgsortEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.next_state", "kind": "function", "doc": "Implementation.
\n", "signature": "(self, state, _, *counts):", "funcdef": "def"}, "icepool.evaluator.ArgsortEvaluator.final_outcome": {"fullname": "icepool.evaluator.ArgsortEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(self, final_state):", "funcdef": "def"}, "icepool.evaluator.ArgsortEvaluator.order": {"fullname": "icepool.evaluator.ArgsortEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ArgsortEvaluator.order", "kind": "function", "doc": "Optional method that specifies what outcome orderings this evaluator supports.
\n\nBy default, this is determined by which of next_state(), \nnext_state_ascending(), and next_state_descending() are\noverridden.
\n\nThis is most often overridden by subclasses whose iteration order is\ndetermined on a per-instance basis.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if outcomes are to be seen in ascending order.\n In this case either
next_state() or next_state_ascending()\n are implemented. \n - Order.Descending (= -1)\n if outcomes are to be seen in descending order.\n In this case either
next_state() or next_state_descending()\n are implemented. \n - Order.Any (= 0)\n if outcomes can be seen in any order.\n In this case either
next_state() or both\n next_state_ascending() and next_state_descending()\n are implemented. \n
\n
\n", "signature": "(self):", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator", "kind": "class", "doc": "An abstract, immutable, callable class for evaulating one or more input MultisetExpressions.
\n\nThere is one abstract method to implement: next_state().\nThis should incrementally calculate the result given one outcome at a time\nalong with how many of that outcome were produced.
\n\nAn example sequence of calls, as far as next_state() is concerned, is:
\n\n\nstate = next_state(state=None, outcome=1, count_of_1s)state = next_state(state, 2, count_of_2s)state = next_state(state, 3, count_of_3s)state = next_state(state, 4, count_of_4s)state = next_state(state, 5, count_of_5s)state = next_state(state, 6, count_of_6s)outcome = final_outcome(state)
\n\nA few other methods can optionally be overridden to further customize behavior.
\n\nIt is not expected that subclasses of MultisetEvaluator\nbe able to handle arbitrary types or numbers of inputs.\nIndeed, most are expected to handle only a fixed number of inputs,\nand often even only inputs with a particular outcome type.
\n\nInstances cache all intermediate state distributions.\nYou should therefore reuse instances when possible.
\n\nInstances should not be modified after construction\nin any way that affects the return values of these methods.\nOtherwise, values in the cache may be incorrect.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co]"}, "icepool.evaluator.MultisetFunctionEvaluator.__init__": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*inputs: icepool.multiset_expression.MultisetExpression[~T],\tevaluator: icepool.evaluator.multiset_evaluator.MultisetEvaluator[~T, +U_co])"}, "icepool.evaluator.MultisetFunctionEvaluator.next_state": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the count of that outcome produced by each input.
\n\nevaluate() will always call this using only positional arguments.\nFurthermore, there is no expectation that a subclass be able to handle\nan arbitrary number of counts. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *counts with a fixed set\nof parameters.
\n\nMake sure to handle the base case where state is None.
\n\nStates must be hashable. At current, they do not have to be orderable.\nHowever, this may change in the future, and if they are not totally\norderable, you must override final_outcome to create totally orderable\nfinal outcomes.
\n\nBy default, this method may receive outcomes in any order:
\n\n\n- If you want to guarantee ascending or descending order, you can \nimplement
next_state_ascending() or next_state_descending() \ninstead. \n- Alternatively, implement
next_state() and override order() to\nreturn the necessary order. This is useful if the necessary order\ndepends on the instance. \n- If you want to handle either order, but have a different \nimplementation for each, override both
next_state_ascending() and \nnext_state_descending(). \n
\n\nThe behavior of returning a Die from next_state is currently\nundefined.
\n\nArguments:
\n\n\n- state: A hashable object indicating the state before rolling the\ncurrent outcome. If this is the first outcome being considered,\n
state will be None. \n- outcome: The current outcome.\n
next_state will see all rolled outcomes in monotonic order;\neither ascending or descending depending on order().\nIf there are multiple inputs, the set of outcomes is at \nleast the union of the outcomes of the invididual inputs. \nYou can use extra_outcomes() to add extra outcomes. \n- *counts: One value (usually an
int) for each input indicating how\nmany of the current outcome were produced. \n
\n\nReturns:
\n\n\n A hashable object indicating the next state.\n The special value icepool.Reroll can be used to immediately remove\n the state from consideration, effectively performing a full reroll.
\n
\n", "signature": "(self, state, outcome, *counts):", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.final_outcome": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.final_outcome", "kind": "function", "doc": "Optional method to generate a final output outcome from a final state.
\n\nBy default, the final outcome is equal to the final state.\nNote that None is not a valid outcome for a Die,\nand if there are no outcomes, final_outcome will be immediately\nbe callled with final_state=None.\nSubclasses that want to handle this case should explicitly define what\nhappens.
\n\nArguments:
\n\n\n- final_state: A state after all outcomes have been processed.
\n
\n\nReturns:
\n\n\n A final outcome that will be used as part of constructing the result Die.\n As usual for Die(), this could itself be a Die or icepool.Reroll.
\n
\n", "signature": "(\tself,\tfinal_state) -> Union[+U_co, icepool.population.die.Die[+U_co], icepool.typing.RerollType]:", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.order": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.order", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.order", "kind": "function", "doc": "Optional method that specifies what outcome orderings this evaluator supports.
\n\nBy default, this is determined by which of next_state(), \nnext_state_ascending(), and next_state_descending() are\noverridden.
\n\nThis is most often overridden by subclasses whose iteration order is\ndetermined on a per-instance basis.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if outcomes are to be seen in ascending order.\n In this case either
next_state() or next_state_ascending()\n are implemented. \n - Order.Descending (= -1)\n if outcomes are to be seen in descending order.\n In this case either
next_state() or next_state_descending()\n are implemented. \n - Order.Any (= 0)\n if outcomes can be seen in any order.\n In this case either
next_state() or both\n next_state_ascending() and next_state_descending()\n are implemented. \n
\n
\n", "signature": "(self) -> icepool.order.Order:", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.extra_outcomes": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.extra_outcomes", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.extra_outcomes", "kind": "function", "doc": "Optional method to specify extra outcomes that should be seen as inputs to next_state().
\n\nThese will be seen by next_state even if they do not appear in the\ninput(s). The default implementation returns (), or no additional\noutcomes.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nextra_outcomes = icepool.MultisetEvaluator.consecutive.\nSee consecutive() below.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the inputs, in
\n- ascending order.
\n
\n", "signature": "(self, *generators) -> Collection[~T]:", "funcdef": "def"}, "icepool.evaluator.MultisetFunctionEvaluator.bound_inputs": {"fullname": "icepool.evaluator.MultisetFunctionEvaluator.bound_inputs", "modulename": "icepool.evaluator", "qualname": "MultisetFunctionEvaluator.bound_inputs", "kind": "function", "doc": "An optional sequence of extra inputs whose counts will be prepended to *counts.
\n\n(Prepending rather than appending is analogous to functools.partial.)
\n", "signature": "(self) -> tuple[icepool.multiset_expression.MultisetExpression, ...]:", "funcdef": "def"}, "icepool.function": {"fullname": "icepool.function", "modulename": "icepool.function", "kind": "module", "doc": "Free functions.
\n"}, "icepool.function.d": {"fullname": "icepool.function.d", "modulename": "icepool.function", "qualname": "d", "kind": "function", "doc": "A standard die, uniformly distributed from 1 to sides inclusive.
\n\nDon't confuse this with icepool.Die():
\n\n\nicepool.Die([6]): A Die that always rolls the integer 6.icepool.d(6): A d6.
\n\nYou can also import individual standard dice from the icepool module, e.g.\nfrom icepool import d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.function.z": {"fullname": "icepool.function.z", "modulename": "icepool.function", "qualname": "z", "kind": "function", "doc": "A die uniformly distributed from 0 to sides - 1 inclusive.
\n\nEqual to d(sides) - 1.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.function.coin": {"fullname": "icepool.function.coin", "modulename": "icepool.function", "qualname": "coin", "kind": "function", "doc": "A Die that rolls True with probability n / d, and False otherwise.
\n\nIf n <= 0 or n >= d the result will have only one outcome.
\n\nArguments:
\n\n\n- n: An int numerator, or a non-integer probability.
\n- d: An int denominator. Should not be provided if the first argument is\nnot an int.
\n
\n", "signature": "(\tn: int | float | fractions.Fraction,\td: int = 1,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[bool]:", "funcdef": "def"}, "icepool.function.stochastic_round": {"fullname": "icepool.function.stochastic_round", "modulename": "icepool.function", "qualname": "stochastic_round", "kind": "function", "doc": "Randomly rounds a value up or down to the nearest integer according to the two distances.
\n\nSpecificially, rounds x up with probability x - floor(x) and down\notherwise, producing a Die with up to two outcomes.
\n\nArguments:
\n\n\n- max_denominator: If provided, each rounding will be performed\nusing
fractions.Fraction.limit_denominator(max_denominator).\nOtherwise, the rounding will be performed without\nlimit_denominator. \n
\n", "signature": "(\tx,\t/,\t*,\tmax_denominator: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.function.one_hot": {"fullname": "icepool.function.one_hot", "modulename": "icepool.function", "qualname": "one_hot", "kind": "function", "doc": "A Die with Vector outcomes with one element set to True uniformly at random and the rest False.
\n\nThis is an easy (if somewhat expensive) way of representing how many dice\nin a pool rolled each number. For example, the outcomes of 10 @ one_hot(6)\nare the (ones, twos, threes, fours, fives, sixes) rolled in 10d6.
\n", "signature": "(sides: int, /) -> icepool.population.die.Die[tuple[bool, ...]]:", "funcdef": "def"}, "icepool.function.from_cumulative": {"fullname": "icepool.function.from_cumulative", "modulename": "icepool.function", "qualname": "from_cumulative", "kind": "function", "doc": "Constructs a Die from a sequence of cumulative values.
\n\nArguments:
\n\n\n- outcomes: The outcomes of the resulting die. Sorted order is recommended\nbut not necessary.
\n- cumulative: The cumulative values (inclusive) of the outcomes in the\norder they are given to this function. These may be:\n
\nint cumulative quantities.- Dice representing the cumulative distribution at that point.
\n
\n- reverse: Iff true, both of the arguments will be reversed. This allows\ne.g. constructing using a survival distribution.
\n
\n", "signature": "(\toutcomes: Sequence[~T],\tcumulative: Union[Sequence[int], Sequence[icepool.population.die.Die[bool]]],\t*,\treverse: bool = False) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.from_rv": {"fullname": "icepool.function.from_rv", "modulename": "icepool.function", "qualname": "from_rv", "kind": "function", "doc": "Constructs a Die from a rv object (as scipy.stats).
\n\nThis is done using the CDF.
\n\nArguments:
\n\n\n- rv: A rv object (as
scipy.stats). \n- outcomes: An iterable of
ints or floats that will be the outcomes\nof the resulting Die.\nIf the distribution is discrete, outcomes must be ints.\nSome outcomes may be omitted if their probability is too small\ncompared to the denominator. \n- denominator: The denominator of the resulting
Die will be set to this. \n- **kwargs: These will be forwarded to
rv.cdf(). \n
\n", "signature": "(\trv,\toutcomes: Union[Sequence[int], Sequence[float]],\tdenominator: int,\t**kwargs) -> icepool.population.die.Die[int] | icepool.population.die.Die[float]:", "funcdef": "def"}, "icepool.function.pointwise_max": {"fullname": "icepool.function.pointwise_max", "modulename": "icepool.function", "qualname": "pointwise_max", "kind": "function", "doc": "Selects the highest chance of rolling >= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling >= to that \noutcome is the same as the highest chance of rolling >= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the highest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get >= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.pointwise_min": {"fullname": "icepool.function.pointwise_min", "modulename": "icepool.function", "qualname": "pointwise_min", "kind": "function", "doc": "Selects the highest chance of rolling <= each outcome among the arguments.
\n\nNaming not finalized.
\n\nSpecifically, for each outcome, the chance of the result rolling <= to that \noutcome is the same as the highest chance of rolling <= that outcome among\nthe arguments.
\n\nEquivalently, any quantile in the result is the lowest of that quantile\namong the arguments.
\n\nThis is useful for selecting from several possible moves where you are\ntrying to get <= a threshold that is known but could change depending on the\nsituation.
\n\nArguments:
\n\n\n- dice: Either an iterable of dice, or two or more dice as separate\narguments.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: icepool.population.die.Die[~T]) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.min_outcome": {"fullname": "icepool.function.min_outcome", "modulename": "icepool.function", "qualname": "min_outcome", "kind": "function", "doc": "The minimum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.function.max_outcome": {"fullname": "icepool.function.max_outcome", "modulename": "icepool.function", "qualname": "max_outcome", "kind": "function", "doc": "The maximum possible outcome among the populations.
\n\nArguments:
\n\n\n- Populations or single outcomes. Alternatively, a single iterable argument of such.
\n
\n", "signature": "(\t*args: Union[Iterable[Union[~T, icepool.population.base.Population[~T]]], ~T]) -> ~T:", "funcdef": "def"}, "icepool.function.consecutive": {"fullname": "icepool.function.consecutive", "modulename": "icepool.function", "qualname": "consecutive", "kind": "function", "doc": "A minimal sequence of consecutive ints covering the argument sets.
\n", "signature": "(*args: Iterable[int]) -> Sequence[int]:", "funcdef": "def"}, "icepool.function.sorted_union": {"fullname": "icepool.function.sorted_union", "modulename": "icepool.function", "qualname": "sorted_union", "kind": "function", "doc": "Merge sets into a sorted sequence.
\n", "signature": "(*args: Iterable[~T]) -> tuple[~T, ...]:", "funcdef": "def"}, "icepool.function.commonize_denominator": {"fullname": "icepool.function.commonize_denominator", "modulename": "icepool.function", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the quantities of the dice so that all of them have the same denominator.
\n\nThe denominator is the LCM of the denominators of the arguments.
\n\nArguments:
\n\n\n- *dice: Any number of dice or single outcomes convertible to dice.
\n
\n\nReturns:
\n\n\n A tuple of dice with the same denominator.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.function.reduce": {"fullname": "icepool.function.reduce", "modulename": "icepool.function", "qualname": "reduce", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice.
\n\nAnalogous to the\nfunctools function of the same name.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice, and produce an outcome\nof the same type. It may also return
Reroll, in which case the\nentire sequence is effectively rerolled. \n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.accumulate": {"fullname": "icepool.function.accumulate", "modulename": "icepool.function", "qualname": "accumulate", "kind": "function", "doc": "Applies a function of two arguments cumulatively to a sequence of dice, yielding each result in turn.
\n\nAnalogous to the\nitertools function of the same name\n, though with no default function and\nthe same parameter order as reduce().
\n\nThe number of results is equal to the number of elements of dice, with\none additional element if initial is provided.
\n\nArguments:
\n\n\n- function: The function to map. The function should take two arguments,\nwhich are an outcome from each of two dice.
\n- dice: A sequence of dice to map the function to, from left to right.
\n- initial: If provided, this will be placed at the front of the sequence\nof dice.
\n
\n", "signature": "(\tfunction: Callable[[~T, ~T], Union[~T, icepool.population.die.Die[~T]]],\tdice: Iterable[Union[~T, icepool.population.die.Die[~T]]],\t*,\tinitial: Union[~T, icepool.population.die.Die[~T], NoneType] = None) -> Iterator[icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.function.map": {"fullname": "icepool.function.map", "modulename": "icepool.function", "qualname": "map", "kind": "function", "doc": "Applies func(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, returning a Die.
\n\nSee map_function for a decorator version of this.
\n\nExample: map(lambda a, b: a + b, d6, d6) is the same as d6 + d6.
\n\nmap() is flexible but not very efficient for more than a few dice.\nIf at all possible, use reduce(), MultisetExpression methods, and/or\nMultisetEvaluators. Even Pool.expand() (which sorts rolls) is more\nefficient than using map on the dice in order.
\n\nAgain can be used but is not recommended with repeat other than 1.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a new outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nIn this case args must have exactly one element.\nAs with the
Die constructor, the new outcomes: \n- May be dice rather than just single outcomes.
\n- The special value
icepool.Reroll will reroll that old outcome. \ntuples containing Populations will be tupleized into\nPopulations of tuples.\nThis does not apply to subclasses of tuples such as namedtuple\nor other classes such as Vector.
\n- *args:
func will be called with all joint outcomes of these.\nAllowed arg types are:\n\n- Single outcome.
\nDie. All outcomes will be sent to func.MultisetExpression. All sorted tuples of outcomes will be sent\nto func, as MultisetExpression.expand(). The expression must\nbe fully bound.
\n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \nrepeat: This will be repeated with the same arguments on the\nresult this many times, except the first of args will be replaced\nby the result of the previous iteration.
\n\nNote that returning Reroll from repl will effectively reroll all\narguments, including the first argument which represents the result\nof the process up to this point. If you only want to reroll the\ncurrent stage, you can nest another map inside repl.
\n\nEXPERIMENTAL: If set to 'inf', the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- time_limit: Similar to
repeat, but will return early if a fixed point\nis reached. If both repeat and time_limit are provided\n(not recommended), time_limit takes priority. \n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\ttime_limit: Union[int, Literal['inf'], NoneType] = None,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> icepool.population.die.Die[~T]:", "funcdef": "def"}, "icepool.function.map_function": {"fullname": "icepool.function.map_function", "modulename": "icepool.function", "qualname": "map_function", "kind": "function", "doc": "Decorator that turns a function that takes outcomes into a function that takes dice.
\n\nThe result must be a Die.
\n\nThis is basically a decorator version of map() and produces behavior\nsimilar to AnyDice functions, though Icepool has different typing rules\namong other differences.
\n\nmap_function can either be used with no arguments:
\n\n\n
@map_function\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6, again_depth=2)\n
\n
Or with keyword arguments, in which case the extra arguments are bound:
\n\n\n
@map_function(again_depth=2)\ndef explode_six(x):\n if x == 6:\n return 6 + Again\n else:\n return x\n\nexplode_six(d6)\n
\n
Arguments:
\n\n\n- again_count, again_depth, again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunction: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: Union[int, Literal['inf']] = 1,\tagain_count: int | None = None,\tagain_depth: int | None = None,\tagain_end: Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, NoneType] = None) -> Union[Callable[..., icepool.population.die.Die[~T]], Callable[..., Callable[..., icepool.population.die.Die[~T]]]]:", "funcdef": "def"}, "icepool.function.map_and_time": {"fullname": "icepool.function.map_and_time", "modulename": "icepool.function", "qualname": "map_and_time", "kind": "function", "doc": "Repeatedly map outcomes of the state to other outcomes, while also\ncounting timesteps.
\n\nThis is useful for representing processes.
\n\nThe outcomes of the result are (outcome, time), where time is the\nnumber of repeats needed to reach an absorbing outcome (an outcome that\nonly leads to itself), or repeat, whichever is lesser.
\n\nThis will return early if it reaches a fixed point.\nTherefore, you can set repeat equal to the maximum number of\ntime you could possibly be interested in without worrying about\nit causing extra computations after the fixed point.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable returning a new outcome for each old outcome.
\n- A mapping from old outcomes to new outcomes.\nUnmapped old outcomes stay the same.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\n- initial_state: The initial state of the process, which could be a\nsingle state or a
Die. \n- extra_args: Extra arguments to use, as per
map. Note that these are\nrerolled at every time step. \n- star: If
True, the first of the args will be unpacked before giving\nthem to func.\nIf not provided, it will be guessed based on the signature of func\nand the number of arguments. \n- time_limit: This will be repeated with the same arguments on the result\nup to this many times.
\n
\n\nReturns:
\n\n\n The Die after the modification.
\n
\n", "signature": "(\trepl: Union[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]], Mapping[Any, Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]],\tinitial_state: Union[~T, icepool.population.die.Die[~T]],\t/,\t*extra_args,\tstar: bool | None = None,\ttime_limit: int) -> icepool.population.die.Die[tuple[~T, int]]:", "funcdef": "def"}, "icepool.function.map_to_pool": {"fullname": "icepool.function.map_to_pool", "modulename": "icepool.function", "qualname": "map_to_pool", "kind": "function", "doc": "EXPERIMENTAL: Applies repl(outcome_of_die_0, outcome_of_die_1, ...) for all joint outcomes, producing a MultisetGenerator.
\n\nArguments:
\n\n\n- repl: One of the following:\n
\n- A callable that takes in one outcome per element of args and\nproduces a
MultisetGenerator or something convertible to a Pool. \n- A mapping from old outcomes to
MultisetGenerator \nor something convertible to a Pool.\nIn this case args must have exactly one element.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value icepool.Reroll will reroll that old outcome. \n
\n- star: If
True, the first of the args will be unpacked before giving\nthem to repl.\nIf not provided, it will be guessed based on the signature of repl\nand the number of arguments. \n- denominator: If provided, the denominator of the result will be this\nvalue. Otherwise it will be the minimum to correctly weight the\npools.
\n
\n\nReturns:
\n\n\n A MultisetGenerator representing the mixture of Pools. Note
\n that this is not technically a Pool, though it supports most of \n the same operations.
\n
\n\nRaises:
\n\n\n- ValueError: If
denominator cannot be made consistent with the \nresulting mixture of pools. \n
\n", "signature": "(\trepl: Union[Callable[..., Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]], Mapping[Any, Union[icepool.generator.multiset_generator.MultisetGenerator, Sequence[Union[icepool.population.die.Die[~T], ~T]], Mapping[icepool.population.die.Die[~T], int], Mapping[~T, int], icepool.typing.RerollType]]],\t/,\t*args: icepool.typing.Outcome | icepool.population.die.Die | icepool.multiset_expression.MultisetExpression,\tstar: bool | None = None,\tdenominator: int | None = None) -> icepool.generator.multiset_generator.MultisetGenerator[~T, tuple[int]]:", "funcdef": "def"}, "icepool.typing": {"fullname": "icepool.typing", "modulename": "icepool.typing", "kind": "module", "doc": "\n"}, "icepool.typing.S": {"fullname": "icepool.typing.S", "modulename": "icepool.typing", "qualname": "S", "kind": "variable", "doc": "A sequence type.
\n", "default_value": "~S"}, "icepool.typing.T": {"fullname": "icepool.typing.T", "modulename": "icepool.typing", "qualname": "T", "kind": "variable", "doc": "An outcome type.
\n", "default_value": "~T"}, "icepool.typing.T_co": {"fullname": "icepool.typing.T_co", "modulename": "icepool.typing", "qualname": "T_co", "kind": "variable", "doc": "An outcome type.
\n", "default_value": "+T_co"}, "icepool.typing.T_contra": {"fullname": "icepool.typing.T_contra", "modulename": "icepool.typing", "qualname": "T_contra", "kind": "variable", "doc": "An outcome type.
\n", "default_value": "-T_contra"}, "icepool.typing.U": {"fullname": "icepool.typing.U", "modulename": "icepool.typing", "qualname": "U", "kind": "variable", "doc": "Another outcome type.
\n", "default_value": "~U"}, "icepool.typing.U_co": {"fullname": "icepool.typing.U_co", "modulename": "icepool.typing", "qualname": "U_co", "kind": "variable", "doc": "Another outcome type.
\n", "default_value": "+U_co"}, "icepool.typing.Qs": {"fullname": "icepool.typing.Qs", "modulename": "icepool.typing", "qualname": "Qs", "kind": "variable", "doc": "A tuple of count types. In this future this may be replaced with a TypeVarTuple.
\n", "default_value": "~Qs"}, "icepool.typing.RerollType": {"fullname": "icepool.typing.RerollType", "modulename": "icepool.typing", "qualname": "RerollType", "kind": "class", "doc": "The type of the Reroll singleton.
\n", "bases": "enum.Enum"}, "icepool.typing.RerollType.Reroll": {"fullname": "icepool.typing.RerollType.Reroll", "modulename": "icepool.typing", "qualname": "RerollType.Reroll", "kind": "variable", "doc": "Indicates an outcome should be rerolled (with unlimited depth).
\n", "default_value": "<RerollType.Reroll: 'Reroll'>"}, "icepool.typing.Outcome": {"fullname": "icepool.typing.Outcome", "modulename": "icepool.typing", "qualname": "Outcome", "kind": "class", "doc": "Protocol to attempt to verify that outcome types are hashable and sortable.
\n\nFar from foolproof, e.g. it cannot enforce total ordering.
\n", "bases": "typing.Hashable, typing.Protocol[-T_contra]"}, "icepool.typing.ImplicitConversionError": {"fullname": "icepool.typing.ImplicitConversionError", "modulename": "icepool.typing", "qualname": "ImplicitConversionError", "kind": "class", "doc": "Indicates that an implicit conversion failed.
\n", "bases": "builtins.TypeError"}, "icepool.typing.count_positional_parameters": {"fullname": "icepool.typing.count_positional_parameters", "modulename": "icepool.typing", "qualname": "count_positional_parameters", "kind": "function", "doc": "Counts the number of positional parameters of the callable.
\n\nReturns:
\n\n\n Two ints. The first is the number of required positional arguments;\n the second is total number of positional arguments, or None if there\n is a variadic *args.
\n
\n", "signature": "(function: Callable) -> tuple[int, int | None]:", "funcdef": "def"}, "icepool.typing.guess_star": {"fullname": "icepool.typing.guess_star", "modulename": "icepool.typing", "qualname": "guess_star", "kind": "function", "doc": "Guesses whether the first argument should be unpacked before giving it to the function.
\n\nArguments:
\n\n\n- arg_count: The number of arguments that will be provided to the function.
\n
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// mirrored in build-search-index.js (part 1)
// Also split on html tags. this is a cheap heuristic, but good enough.