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- Unless explictly specified otherwise, elements with zero quantity, rolls, etc.\nare considered.
\n
\n"}, "icepool.d": {"fullname": "icepool.d", "modulename": "icepool", "qualname": "d", "kind": "function", "doc": "A standard die.
\n\nSpecifically, the outcomes are ints from 1 to sides inclusive,\nwith quantity 1 each.
\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.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", "signature": "(n: int, d: int, /) -> icepool.population.die.Die[bool]:", "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 is (mostly) well-defined to have a Die with zero-quantity outcomes.\nThese can be useful in a few cases, such as:
\n\n\nMultisetEvaluator will iterate through zero-quantity outcomes,\nrather than possibly skipping that outcome. (Though in most cases it's\nbetter to use MultisetEvaluator.alignment().)icepool.align() and the like are convenient for making dice share the\nsame set of outcomes.
\n\nHowever, zero-quantity outcomes have a computational cost like any other\noutcome. Unless you have a specific use case in mind, it's best to leave\nthem out.
\n\nMost operators and methods will not introduce zero-quantity outcomes if\ntheir arguments do not have any; nor remove zero-quantity outcomes.
\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, though they can be zero.
\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. For example,
\n\nDie([1, 2, 3, 4, 5, 6 + Again])\n
\n\nwould be an exploding d6. Use the again_depth parameter to control\nthe maximum depth. again_depth does not apply to Reroll.
\n\nIf the roll reaches the maximum depth, the again_end is used instead\nof rolling again. Options for again_end include:
\n\n\n- No value (
None), which will attempt to determine a zero value from\nthe outcomes that don't involve Again. \n- A single outcome, or a
Die. \nReroll, which will reroll any end roll involving Again.- You could also consider some sort of placeholder value such as\n
math.inf. \n
\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 is the primary\ndenominator times the LCM of the outcome denominators.
\n\nFor example, Die([d3, d4, d6]) has a final denominator of 36: 3 for\nthe primary selection between the three secondary dice, times 12 for\nthe LCM of 3, 4, and 6.
\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_depth: int = 1,\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\ncartesian_product(d6, d8) * 2\ncartesian_product(d6 * 2, d8 * 2)\n
\n\nThis 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 single outcome to reroll.
\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 omitted, 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: int | None = None) -> 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 omitted, 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: int | None = None) -> icepool.population.die.Die[+T_co]:", "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.\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.set_range": {"fullname": "icepool.Die.set_range", "modulename": "icepool", "qualname": "Die.set_range", "kind": "function", "doc": "Sets the outcomes of this Die to the given int range (inclusive).
\n\nThis may remove outcomes (if they are not within the range)\nand/or add zero-quantity outcomes (if they are in range but not present\nin this Die).
\n\nArguments:
\n\n\n- min_outcome: The min outcome of the result.\nIf omitted, the min outcome of this
Die will be used. \n- max_outcome: The max outcome of the result.\nIf omitted, the max outcome of this
Die will be used. \n
\n", "signature": "(\tself: icepool.population.die.Die[int],\tmin_outcome: int | None = None,\tmax_outcome: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.set_outcomes": {"fullname": "icepool.Die.set_outcomes", "modulename": "icepool", "qualname": "Die.set_outcomes", "kind": "function", "doc": "Sets the set of outcomes to the argument.
\n\nThis may remove outcomes (if they are not present in the argument)\nand/or add zero-quantity outcomes (if they are not present in this Die).
\n", "signature": "(self, outcomes: Iterable[+T_co]) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.trim": {"fullname": "icepool.Die.trim", "modulename": "icepool", "qualname": "Die.trim", "kind": "function", "doc": "Removes all zero-quantity outcomes.
\n", "signature": "(self) -> 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: int | None = 1,\tagain_depth: int = 1,\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,\trepeat: int) -> icepool.population.die.Die[tuple[+T_co, int]]:", "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.\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.
\n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\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_depth: Forwarded to the final die constructor.
\n- 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_depth: int = 1,\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.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.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: The number of dice to keep.
\n- drop: If provided, this many lowest dice will be dropped before\nkeeping.
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int = 1,\tdrop: int = 0) -> 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: The number of dice to keep.
\n- drop: If provided, this many highest dice will be dropped before\nkeeping.
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int = 1,\tdrop: int = 0) -> 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.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.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.zero": {"fullname": "icepool.Die.zero", "modulename": "icepool", "qualname": "Die.zero", "kind": "function", "doc": "Zeros all outcomes of this die.
\n\nThis is done by multiplying all outcomes by 0.
\n\nThe result will have the same denominator as this die.
\n\nRaises:
\n\n\n- ValueError: If the zeros did not resolve to a single outcome.
\n
\n", "signature": "(self) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.zero_outcome": {"fullname": "icepool.Die.zero_outcome", "modulename": "icepool", "qualname": "Die.zero_outcome", "kind": "function", "doc": "A zero-outcome for this die.
\n\nE.g. 0 for a Die whose outcomes are ints.
\n", "signature": "(self) -> +T_co:", "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\nThis will include all three outcomes even if they have zero quantity.
\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_le": {"fullname": "icepool.Population.nearest_le", "modulename": "icepool", "qualname": "Population.nearest_le", "kind": "function", "doc": "The nearest outcome that is <= the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.nearest_lt": {"fullname": "icepool.Population.nearest_lt", "modulename": "icepool", "qualname": "Population.nearest_lt", "kind": "function", "doc": "The nearest outcome that is < the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.nearest_ge": {"fullname": "icepool.Population.nearest_ge", "modulename": "icepool", "qualname": "Population.nearest_ge", "kind": "function", "doc": "The nearest outcome that is >= the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.nearest_gt": {"fullname": "icepool.Population.nearest_gt", "modulename": "icepool", "qualname": "Population.nearest_gt", "kind": "function", "doc": "The nearest outcome that is > the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+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, or 0 if not present.
\n", "signature": "(self, outcome: Hashable) -> 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\nThese are also the values of the mapping.\nPrefer to use the name quantities.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None) -> 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, including those with zero quantity,\nuse len().
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Population.scale_quantities": {"fullname": "icepool.Population.scale_quantities", "modulename": "icepool", "qualname": "Population.scale_quantities", "kind": "function", "doc": "Scales all quantities by an integer.
\n", "signature": "(self: ~C, scale: int) -> ~C:", "funcdef": "def"}, "icepool.Population.has_zero_quantities": {"fullname": "icepool.Population.has_zero_quantities", "modulename": "icepool", "qualname": "Population.has_zero_quantities", "kind": "function", "doc": "True iff self contains at least one outcome with zero quantity.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.Population.quantity_ne": {"fullname": "icepool.Population.quantity_ne", "modulename": "icepool", "qualname": "Population.quantity_ne", "kind": "function", "doc": "The quantity != a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_le": {"fullname": "icepool.Population.quantity_le", "modulename": "icepool", "qualname": "Population.quantity_le", "kind": "function", "doc": "The quantity <= a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_lt": {"fullname": "icepool.Population.quantity_lt", "modulename": "icepool", "qualname": "Population.quantity_lt", "kind": "function", "doc": "The quantity < a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_ge": {"fullname": "icepool.Population.quantity_ge", "modulename": "icepool", "qualname": "Population.quantity_ge", "kind": "function", "doc": "The quantity >= a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_gt": {"fullname": "icepool.Population.quantity_gt", "modulename": "icepool", "qualname": "Population.quantity_gt", "kind": "function", "doc": "The quantity > a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantities_le": {"fullname": "icepool.Population.quantities_le", "modulename": "icepool", "qualname": "Population.quantities_le", "kind": "function", "doc": "The quantity <= each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.quantities_ge": {"fullname": "icepool.Population.quantities_ge", "modulename": "icepool", "qualname": "Population.quantities_ge", "kind": "function", "doc": "The quantity >= each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.quantities_lt": {"fullname": "icepool.Population.quantities_lt", "modulename": "icepool", "qualname": "Population.quantities_lt", "kind": "function", "doc": "The quantity < each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.quantities_gt": {"fullname": "icepool.Population.quantities_gt", "modulename": "icepool", "qualname": "Population.quantities_gt", "kind": "function", "doc": "The quantity > each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.probability": {"fullname": "icepool.Population.probability", "modulename": "icepool", "qualname": "Population.probability", "kind": "function", "doc": "The probability of a single outcome, or 0.0 if not present.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_le": {"fullname": "icepool.Population.probability_le", "modulename": "icepool", "qualname": "Population.probability_le", "kind": "function", "doc": "The probability <= a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_lt": {"fullname": "icepool.Population.probability_lt", "modulename": "icepool", "qualname": "Population.probability_lt", "kind": "function", "doc": "The probability < a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_ge": {"fullname": "icepool.Population.probability_ge", "modulename": "icepool", "qualname": "Population.probability_ge", "kind": "function", "doc": "The probability >= a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_gt": {"fullname": "icepool.Population.probability_gt", "modulename": "icepool", "qualname": "Population.probability_gt", "kind": "function", "doc": "The probability > a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probabilities": {"fullname": "icepool.Population.probabilities", "modulename": "icepool", "qualname": "Population.probabilities", "kind": "function", "doc": "The probability of each outcome in order.
\n\nAlso known as the probability mass function (PMF).
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_le": {"fullname": "icepool.Population.probabilities_le", "modulename": "icepool", "qualname": "Population.probabilities_le", "kind": "function", "doc": "The probability of rolling <= each outcome in order.
\n\nAlso known as the cumulative distribution function (CDF),\nthough this term is ambigiuous whether it is < or <=.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_ge": {"fullname": "icepool.Population.probabilities_ge", "modulename": "icepool", "qualname": "Population.probabilities_ge", "kind": "function", "doc": "The probability of rolling >= each outcome in order.
\n\nAlso known as the survival function (SF) or\ncomplementary cumulative distribution function (CCDF),\nthough these term are ambigiuous whether they are is > or >=.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_lt": {"fullname": "icepool.Population.probabilities_lt", "modulename": "icepool", "qualname": "Population.probabilities_lt", "kind": "function", "doc": "The probability of rolling < each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_gt": {"fullname": "icepool.Population.probabilities_gt", "modulename": "icepool", "qualname": "Population.probabilities_gt", "kind": "function", "doc": "The probability of rolling > each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\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) -> 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) -> 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 the outcomes.
\n"}, "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.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) ==, <=, or >= each outcome.%==, %<=, %>=: Probabilities (0%-100%) ==, <=, or >= each outcome.
\n\nColumns may optionally be separated using | characters.
\n\nThe default columns are *o|q==|%==, which are the unpacked outcomes,\nthe quantities, and the probabilities. The quantities are omitted from\nthe default columns if 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.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_depth and again_end arguments to Die() affect how these\narguments are processed.
\n\nIf you want something more complex, use e.g. Die.map() instead.
\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\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. \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.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: The number of lowest dice will be summed.
\n- drop: This number of lowest dice will be dropped before keeping dice\nto be summed.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int = 1,\tdrop: int = 0,\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: The number of highest dice will be summed.
\n- drop: This number of highest dice will be dropped before keeping dice\nto be summed.
\n
\n", "signature": "(\targ0,\t/,\t*more_args: Union[~T, icepool.population.die.Die[~T]],\tkeep: int = 1,\tdrop: int = 0,\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
\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 outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.max_outcome": {"fullname": "icepool.max_outcome", "modulename": "icepool", "qualname": "max_outcome", "kind": "function", "doc": "The maximum outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.align": {"fullname": "icepool.align", "modulename": "icepool", "qualname": "align", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.align_range": {"fullname": "icepool.align_range", "modulename": "icepool", "qualname": "align_range", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of consecutive int outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: int | icepool.population.die.Die[int]) -> tuple[icepool.population.die.Die[int], ...]:", "funcdef": "def"}, "icepool.commonize_denominator": {"fullname": "icepool.commonize_denominator", "modulename": "icepool", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the weights of the dice so that all of them have the same denominator.
\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\nfunctools.reduce().
\n\nArguments:
\n\n\n- func: 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_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: 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\nitertools.accumulate()\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- func: 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": "(\tfunc: 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.
\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.\nIt will re-roll the current stage, not the entire series.
\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.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\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\nEXPERIMENTAL: If set to None, the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- again_depth: Forwarded to the final die constructor.
\n- 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.expression.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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@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\nOr with keyword arguments, in which case the extra arguments are bound:
\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\nArguments:
\n\n\n- again_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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- 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- repeat: This will be repeated with the same arguments on the result\nthis 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]]],\tstate,\t/,\t*extra_args,\tstar: bool | None = None,\trepeat: int) -> icepool.population.die.Die[tuple[~T, 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.multiset_generator.MultisetGenerator[~T, tuple[int]]"}, "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. In this case you may want to provide a die with zero\nquantity.
\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.keep_size": {"fullname": "icepool.Pool.keep_size", "modulename": "icepool", "qualname": "Pool.keep_size", "kind": "function", "doc": "The total count produced by this pool after 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", "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.keep_tuple": {"fullname": "icepool.Pool.keep_tuple", "modulename": "icepool", "qualname": "Pool.keep_tuple", "kind": "function", "doc": "The tuple indicating which dice in the pool will be counted.
\n\nThe tuple has one element per Die in the pool, from lowest roll to\nhighest roll. The Die in the corresponding sorted position will be\ncounted that many times.
\n", "signature": "(self) -> tuple[int, ...]:", "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.keep": {"fullname": "icepool.Pool.keep", "modulename": "icepool", "qualname": "Pool.keep", "kind": "function", "doc": "A Pool with the selected dice counted after rolling and sorting.
\n\nUse pool[index] for the same effect as this method.
\n\nThe rolls are sorted in ascending order for this purpose,\nregardless of which order the outcomes are evaluated in.
\n\nFor example, here are some ways of selecting the two highest rolls out\nof five:
\n\n\npool[3:5]pool[3:]pool[-2:]pool[..., 1, 1]pool[0, 0, 0, 1, 1]
\n\nThese will count the highest as a positive and the lowest as a negative:
\n\n\npool[-1, 0, 0, 0, 1]pool[-1, ..., 1]
\n\nThe valid types of argument are:
\n\n\n- An
int. This will count only the roll at the specified index.\nIn this case, the result is a Die rather than a Pool. \n- A
slice. The selected dice are counted once each. \nA sequence of one int for each Die.\nEach roll is counted that many times, which could be multiple or\nnegative times.
\n\nUp to one ... (Ellipsis) may be used.\n... will be replaced with a number of zero\ncounts depending on the size of the pool.\nThis number may be \"negative\" if more ints are provided than\nthe size of the Pool. Specifically:
\n\n\n- If
index is shorter than size, ...\nacts as enough zero counts to make up the difference.\nE.g. pool[1, ..., 1] on five dice would act as\npool[1, 0, 0, 0, 1]. \n- If
index has length equal to size, ... has no effect.\nE.g. pool[1, ..., 1] on two dice would act as pool[1, 1]. \n- If
index is longer than size and ... is on one side,\nelements will be dropped from index on the side with ....\nE.g. pool[..., 1, 2, 3] on two dice would act as pool[2, 3]. \n- If
index is longer than size and ...\nis in the middle, the counts will be as the sum of two\none-sided ....\nE.g. pool[-1, ..., 1] acts like [-1, ...] plus [..., 1].\nOn a Pool consisting of a single Die this would have\nthe -1 and 1 cancel each other out. \n
\n\nIf this is called more than once, the selection is applied relative\nto the previous keep_tuple. For example, applying [:2][-1] would\nproduce the second-lowest roll.
\n\nRaises:
\n\n\n- IndexError: If:\n
\n- More than one
... is used. \n- The current keep_tuple has negative counts.
\n- The provided index specifies a fixed length that is\ndifferent than the total of the counts in the current\nkeep_tuple.
\n
\n
\n", "signature": "(\tself,\tindex: Union[slice, Sequence[int | ellipsis], int]) -> Union[icepool.generator.pool.Pool[~T], icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.Pool.lowest": {"fullname": "icepool.Pool.lowest", "modulename": "icepool", "qualname": "Pool.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: The number of lowest elements will be kept.
\n- drop: This number of lowest elements will be dropped before keeping.
\n
\n", "signature": "(self, keep: int = 1, drop: int = 0) -> icepool.generator.pool.Pool[~T]:", "funcdef": "def"}, "icepool.Pool.highest": {"fullname": "icepool.Pool.highest", "modulename": "icepool", "qualname": "Pool.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: The number of highest elements will be kept.
\n- drop: This number of highest elements will be dropped before keeping.
\n
\n", "signature": "(self, keep: int = 1, drop: int = 0) -> icepool.generator.pool.Pool[~T]:", "funcdef": "def"}, "icepool.Pool.middle": {"fullname": "icepool.Pool.middle", "modulename": "icepool", "qualname": "Pool.middle", "kind": "function", "doc": "Keep some of the middle 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\nArguments:
\n\n\n- keep: The number of elements to keep. 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- 'low': The lower of the two possible elements is taken.
\n- 'high': The higher of the two possible elements is taken.
\n
\n
\n", "signature": "(\tself,\tkeep: int = 1,\t*,\ttie: Literal['error', 'high', 'low'] = 'error') -> icepool.generator.pool.Pool[~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 the multisets.
\n\nWe have an optimization here if all arguments are pools with all sorted\npositions counted the same. In this case we can merge the pools directly\ninstead of merging the rolls after the fact.
\n\nkeep_negative_counts: If set, if the result would have a negative \n count, it is preserved. Otherwise, negative counts in the result\n are set to zero, similar to the behavior of\n collections.Counter.
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.Pool.multiply_counts": {"fullname": "icepool.Pool.multiply_counts", "modulename": "icepool", "qualname": "Pool.multiply_counts", "kind": "function", "doc": "Multiplies all counts by a constant.
\n\nSame as self * constant.
\n\nExample:
\n\nPool([1, 2, 2, 3]) * 2 -> [1, 1, 2, 2, 2, 2, 3, 3]\n
\n", "signature": "(self, constant: int, /) -> icepool.generator.pool.Pool[~T]:", "funcdef": "def"}, "icepool.standard_pool": {"fullname": "icepool.standard_pool", "modulename": "icepool", "qualname": "standard_pool", "kind": "function", "doc": "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 0d1.
\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.expression.multiset_expression.MultisetExpression[~T]"}, "icepool.MultisetGenerator.outcomes": {"fullname": "icepool.MultisetGenerator.outcomes", "modulename": "icepool", "qualname": "MultisetGenerator.outcomes", "kind": "function", "doc": "The possible outcomes that could be generated, in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.MultisetGenerator.output_arity": {"fullname": "icepool.MultisetGenerator.output_arity", "modulename": "icepool", "qualname": "MultisetGenerator.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetGenerator.denominator": {"fullname": "icepool.MultisetGenerator.denominator", "modulename": "icepool", "qualname": "MultisetGenerator.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetGenerator.equals": {"fullname": "icepool.MultisetGenerator.equals", "modulename": "icepool", "qualname": "MultisetGenerator.equals", "kind": "function", "doc": "Whether this generator is logically equal to another object.
\n", "signature": "(self, other) -> bool:", "funcdef": "def"}, "icepool.MultisetGenerator.min_outcome": {"fullname": "icepool.MultisetGenerator.min_outcome", "modulename": "icepool", "qualname": "MultisetGenerator.min_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetGenerator.max_outcome": {"fullname": "icepool.MultisetGenerator.max_outcome", "modulename": "icepool", "qualname": "MultisetGenerator.max_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetGenerator.sample": {"fullname": "icepool.MultisetGenerator.sample", "modulename": "icepool", "qualname": "MultisetGenerator.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.Alignment": {"fullname": "icepool.Alignment", "modulename": "icepool", "qualname": "Alignment", "kind": "class", "doc": "A generator that does not output any counts.
\n\nThis can be used to enforce that certain outcomes are seen without otherwise\naffecting a multiset evaluation.
\n", "bases": "icepool.generator.multiset_generator.MultisetGenerator[~T, tuple[()]]"}, "icepool.Alignment.__init__": {"fullname": "icepool.Alignment.__init__", "modulename": "icepool", "qualname": "Alignment.__init__", "kind": "function", "doc": "\n", "signature": "(outcomes: Collection[~T])"}, "icepool.Alignment.outcomes": {"fullname": "icepool.Alignment.outcomes", "modulename": "icepool", "qualname": "Alignment.outcomes", "kind": "function", "doc": "The possible outcomes that could be generated, in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.Alignment.output_arity": {"fullname": "icepool.Alignment.output_arity", "modulename": "icepool", "qualname": "Alignment.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Alignment.denominator": {"fullname": "icepool.Alignment.denominator", "modulename": "icepool", "qualname": "Alignment.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n", "signature": "(self) -> int:", "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\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 keep_counts | \n count if count >= n else 0 | \n
\n\n unary + | \n same as keep_counts(0) | \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 Pool version | \n
\n\n highest | \n less capable than Pool version | \n
\n\n lowest | \n less capable than Pool 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 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_contra]"}, "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[1, 2, 2, 3] + [1, 2, 4] -> [1, 1, 2, 2, 2, 3, 4]\n
\n\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.difference": {"fullname": "icepool.MultisetExpression.difference", "modulename": "icepool", "qualname": "MultisetExpression.difference", "kind": "function", "doc": "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[1, 2, 2, 3] - [1, 2, 4] -> [2, 3]\n
\n\nIf 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\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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[1, 2, 2, 3] & [1, 2, 4] -> [1, 2]\n
\n\nNote 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\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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[1, 2, 2, 3] | [1, 2, 4] -> [1, 2, 2, 3, 4]\n
\n\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.symmetric_difference": {"fullname": "icepool.MultisetExpression.symmetric_difference", "modulename": "icepool", "qualname": "MultisetExpression.symmetric_difference", "kind": "function", "doc": "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.keep_counts(0) ^ right.keep_counts(0).
\n\nExample:
\n\n[1, 2, 2, 3] ^ [1, 2, 4] -> [2, 3, 4]\n
\n", "signature": "(\tself,\tother: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.keep_outcomes": {"fullname": "icepool.MultisetExpression.keep_outcomes", "modulename": "icepool", "qualname": "MultisetExpression.keep_outcomes", "kind": "function", "doc": "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_contra], bool], Collection[-T_contra], icepool.expression.multiset_expression.MultisetExpression[-T_contra]],\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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_contra], bool], Collection[-T_contra], icepool.expression.multiset_expression.MultisetExpression[-T_contra]],\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tfunction: Union[Callable[[int], int], Callable[[-T_contra, int], int]]) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.multiply_counts": {"fullname": "icepool.MultisetExpression.multiply_counts", "modulename": "icepool", "qualname": "MultisetExpression.multiply_counts", "kind": "function", "doc": "Multiplies all counts by a constant.
\n\nSame as self * constant.
\n\nExample:
\n\nPool([1, 2, 2, 3]) * 2 -> [1, 1, 2, 2, 2, 2, 3, 3]\n
\n", "signature": "(\tself,\tconstant: int,\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.divide_counts": {"fullname": "icepool.MultisetExpression.divide_counts", "modulename": "icepool", "qualname": "MultisetExpression.divide_counts", "kind": "function", "doc": "Divides all counts by a constant (rounding down).
\n\nSame as self // constant.
\n\nExample:
\n\nPool([1, 2, 2, 3]) // 2 -> [2]\n
\n", "signature": "(\tself,\tconstant: int,\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.keep_counts": {"fullname": "icepool.MultisetExpression.keep_counts", "modulename": "icepool", "qualname": "MultisetExpression.keep_counts", "kind": "function", "doc": "Counts less than min_count are treated as zero.
\n\nFor example, expression.keep_counts(2) would only produce\npairs and better.
\n\nexpression.keep_counts(0) is useful for removing negative counts. \nYou can use the unary operator +expression for the same effect.
\n\nExample:
\n\nPool([1, 2, 2, 3]).keep_counts(2) -> [2, 2]\n
\n", "signature": "(\tself,\tmin_count: int) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.unique": {"fullname": "icepool.MultisetExpression.unique", "modulename": "icepool", "qualname": "MultisetExpression.unique", "kind": "function", "doc": "Counts each outcome at most max_count times.
\n\nFor example, generator.unique(2) would count each outcome at most\ntwice.
\n\nExample:
\n\nPool([1, 2, 2, 3]).unique() -> [1, 2, 3]\n
\n", "signature": "(\tself,\tmax_count: int = 1) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.keep": {"fullname": "icepool.MultisetExpression.keep", "modulename": "icepool", "qualname": "MultisetExpression.keep", "kind": "function", "doc": "Selects pulls after drawing and sorting.
\n\nThis is less capable and less efficient than the Pool 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\nUse the [] operator for the same effect as this method.
\n", "signature": "(\tself,\tindex: Union[slice, Sequence[int | ellipsis], int]) -> Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], icepool.population.die.Die[-T_contra], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, -T_contra]]:", "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: The number of lowest elements will be kept.
\n- drop: This number of lowest elements will be dropped before keeping.
\n
\n", "signature": "(\tself,\tkeep: int = 1,\tdrop: int = 0) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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: The number of highest elements will be kept.
\n- drop: This number of highest elements will be dropped before keeping.
\n
\n", "signature": "(\tself,\tkeep: int = 1,\tdrop: int = 0) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.evaluate": {"fullname": "icepool.MultisetExpression.evaluate", "modulename": "icepool", "qualname": "MultisetExpression.evaluate", "kind": "function", "doc": "Attaches a final MultisetEvaluator to expressions.
\n\nAll of the MultisetExpression methods below are evaluations,\nas are the operators <, <=, >, >=, !=, ==. This means if the\nexpression is fully bound, it will be evaluated to a Die.
\n\nReturns:
\n\n\n A Die if the expression is are fully bound.\n A MultisetEvaluator otherwise.
\n
\n", "signature": "(\t*expressions: icepool.expression.multiset_expression.MultisetExpression[-T_contra],\tevaluator: icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, ~U]) -> Union[icepool.population.die.Die[~U], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, ~U]]:", "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.typing.Order = <Order.Ascending: 1>) -> Union[icepool.population.die.Die[tuple[-T_contra, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, tuple[-T_contra, ...]]]:", "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_contra], ~U], Mapping[-T_contra, ~U], NoneType] = None) -> Union[icepool.population.die.Die[~U], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, ~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_contra, 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_contra, 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_contra, int]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, tuple[-T_contra, 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() before this?\nkeep_counts() 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: int | None = 1) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, 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_contra, 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_contra]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, tuple[int, -T_contra]]]:", "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.expression.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 outcome in that straight.
\n\nOutcomes must be ints.
\n", "signature": "(\tself: icepool.expression.multiset_expression.MultisetExpression[int]) -> 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 duplicates can\nproduce overlapping straights.
\n", "signature": "(\tself: icepool.expression.multiset_expression.MultisetExpression[int]) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, ...]]]:", "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.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, 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\ndeck.deal(5) >= ['a', 'a', 'b']\n
\n\nrepresents 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.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, 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", "signature": "(\tself,\tother: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.compair": {"fullname": "icepool.MultisetExpression.compair", "modulename": "icepool", "qualname": "MultisetExpression.compair", "kind": "function", "doc": "Evaluation: EXPERIMENTAL: Compares sorted pairs of two multisets and scores wins, ties, and extra elements.
\n\nInterface is not stable yet.
\n\nFor example, left=1 would count how many pairs were won by the left\nside, and left=1, right=-1 would give the difference in the number of\npairs won by each side.
\n\nAny score argument \n(initial, tie, left, right, extra_left, extra_right) \nnot provided will be set to a zero value determined from another score \nargument times 0.
\n\nArguments:
\n\n\n- op: Sets the score values based on the given operator and
order.\nAllowed values are '<', '<=', '>', '>=', '==', '!='.\nEach pair that fits the comparator counts as 1.\nIf one side has more elements than the other, the extra\nelements are ignored. \n- order: If descending (default), pairs are made in descending order\nand the higher element wins. If ascending, pairs are made in\nascending order and the lower element wins.
\n- initial: The initial score.
\n- tie: The score for each pair that is a tie.
\n- left: The score for each pair that left wins.
\n- right: The score for each pair that right wins.
\n- extra_left: If left has more elements, each extra element scores\nthis much.
\n- extra_right: If right has more elements, each extra element scores\nthis much.
\n
\n", "signature": "(\tself,\tother: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\top: Optional[Literal['<', '<=', '>', '>=', '==', '!=']] = None,\t/,\t*,\torder: icepool.typing.Order = <Order.Descending: -1>,\tinitial=None,\ttie=None,\tleft=None,\tright=None,\textra_left=None,\textra_right=None) -> Union[icepool.population.die.Die, icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, Any]]:", "funcdef": "def"}, "icepool.MultisetEvaluator": {"fullname": "icepool.MultisetEvaluator", "modulename": "icepool", "qualname": "MultisetEvaluator", "kind": "class", "doc": "An abstract, immutable, callable class for evaulating one or more MultisetGenerators.
\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 generators.\nIndeed, most are expected to handle only a fixed number of generators,\nand often even only generators with a particular type of Die.
\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_contra, +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 number that outcome produced by each generator.
\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\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 generators, the set of outcomes is the\nunion of the outcomes of the invididual generators. All outcomes\nwith nonzero count will be seen. Outcomes with zero count\nmay or may not be seen. If you need to enforce that certain\noutcomes are seen even if they have zero count, see\nalignment(). \n- *counts: One value (usually an
int) for each generator output\nindicating how many of the current outcome were produced.\nAll outcomes with nonzero count are guaranteed to be seen.\nTo guarantee that outcomes are seen even if they have zero\ncount, override alignment(). \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_contra, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.final_outcome": {"fullname": "icepool.MultisetEvaluator.final_outcome", "modulename": "icepool", "qualname": "MultisetEvaluator.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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) -> 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 function to determine the order in which next_state() will see outcomes.
\n\nThe default is ascending order. This has better caching behavior with \nmixed standard dice.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if
next_state() should always see the outcomes in ascending order. \n - Order.Descending (= -1)\n if
next_state() should always see the outcomes in descending order. \n - Order.Any (= 0)\n if the result of the evaluation is order-independent.
\n
\n
\n", "signature": "(self) -> icepool.typing.Order:", "funcdef": "def"}, "icepool.MultisetEvaluator.alignment": {"fullname": "icepool.MultisetEvaluator.alignment", "modulename": "icepool", "qualname": "MultisetEvaluator.alignment", "kind": "function", "doc": "Optional method to specify additional outcomes that should be seen by next_state().
\n\nThese will be seen by next_state even if they have zero count or do\nnot appear in the generator(s) at all.
\n\nThe default implementation returns (); this means outcomes with zero\ncount may or may not be seen by next_state.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nalignment = icepool.MultisetEvaluator.range_alignment.\nSee range_alignment() below.
\n\nIf you want next_state to see all generator outcomes, you can return\noutcomes as-is.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the generators, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes: Sequence[-T_contra]) -> Collection[-T_contra]:", "funcdef": "def"}, "icepool.MultisetEvaluator.range_alignment": {"fullname": "icepool.MultisetEvaluator.range_alignment", "modulename": "icepool", "qualname": "MultisetEvaluator.range_alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.MultisetEvaluator.prefix_generators": {"fullname": "icepool.MultisetEvaluator.prefix_generators", "modulename": "icepool", "qualname": "MultisetEvaluator.prefix_generators", "kind": "function", "doc": "An optional sequence of extra generators whose counts will be prepended to *counts.
\n", "signature": "(\tself) -> tuple[icepool.generator.multiset_generator.MultisetGenerator, ...]:", "funcdef": "def"}, "icepool.MultisetEvaluator.validate_arity": {"fullname": "icepool.MultisetEvaluator.validate_arity", "modulename": "icepool", "qualname": "MultisetEvaluator.validate_arity", "kind": "function", "doc": "An optional method to verify the total input arity.
\n\nThis is called after any implicit conversion to generators, but does\nnot include any extra_generators().
\n\nOverriding next_state with a fixed number of counts will make this\ncheck redundant.
\n\nRaises:
\n\n\nValueError if the total input arity is not valid.
\n", "signature": "(self, arity: int) -> None:", "funcdef": "def"}, "icepool.MultisetEvaluator.evaluate": {"fullname": "icepool.MultisetEvaluator.evaluate", "modulename": "icepool", "qualname": "MultisetEvaluator.evaluate", "kind": "function", "doc": "Evaluates generator(s).
\n\nYou can call the MultisetEvaluator object directly for the same effect,\ne.g. sum_evaluator(generator) is an alias for sum_evaluator.evaluate(generator).
\n\nMost evaluators will expect a fixed number of input multisets.\nThe union of the outcomes of the generator(s) must be totally orderable.
\n\nArguments:
\n\n\n- *args: Each may be one of the following:\n
\n- A
GeneratorsWithExpression. \n- A
MultisetGenerator. \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 score.
\n
\n", "signature": "(\tself,\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]]) -> icepool.population.die.Die[+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 generator(s) and evaluates the result.
\n", "signature": "(\tself,\t*generators: Union[icepool.generator.multiset_generator.MultisetGenerator[-T_contra, Any], Mapping[-T_contra, int], Sequence[-T_contra]]):", "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\nValueError if both Ascending and Descending are in the- arguments.
\n
\n", "signature": "(*orders: icepool.typing.Order) -> icepool.typing.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\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, including those with zero quantity,\nuse 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) -> icepool.generator.deal.Deal[+T_co, tuple[int, ...]]:", "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.Deal": {"fullname": "icepool.Deal", "modulename": "icepool", "qualname": "Deal", "kind": "class", "doc": "Represents an sorted/unordered deal of cards from a Deck.
\n", "bases": "icepool.generator.multiset_generator.MultisetGenerator[~T, ~Qs]"}, "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 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.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) -> ~Qs:", "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", "signature": "(self) -> int:", "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@multiset_function\ndef two_way_difference(a, b):\n return (a - b).expand(), (b - a).expand()\n
\n\nAny 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\ntarget = [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\nwould 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@multiset_function\ndef bad(a, b)\n if a == b:\n ...\n
\n\nis 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_contra, +U_co], tuple[Union[icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, +U_co], tuple[ForwardRef('NestedTupleOrEvaluator[T_contra, U_co]'), ...]], ...]]],\t/) -> icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, typing.Union[+U_co, tuple[typing.Union[+U_co, tuple[ForwardRef('NestedTupleOrOutcome[U_co]'), ...]], ...]]]:", "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_contra, tuple]"}, "icepool.evaluator.JointEvaluator.__init__": {"fullname": "icepool.evaluator.JointEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(*inners: 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.typing.Order:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.alignment": {"fullname": "icepool.evaluator.JointEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.alignment", "kind": "function", "doc": "Optional method to specify additional outcomes that should be seen by next_state().
\n\nThese will be seen by next_state even if they have zero count or do\nnot appear in the generator(s) at all.
\n\nThe default implementation returns (); this means outcomes with zero\ncount may or may not be seen by next_state.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nalignment = icepool.MultisetEvaluator.range_alignment.\nSee range_alignment() below.
\n\nIf you want next_state to see all generator outcomes, you can return\noutcomes as-is.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the generators, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes) -> Collection[-T_contra]:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.prefix_generators": {"fullname": "icepool.evaluator.JointEvaluator.prefix_generators", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.prefix_generators", "kind": "function", "doc": "An optional sequence of extra generators whose counts will be prepended to *counts.
\n", "signature": "(\tself) -> tuple[icepool.generator.multiset_generator.MultisetGenerator, ...]:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.validate_arity": {"fullname": "icepool.evaluator.JointEvaluator.validate_arity", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.validate_arity", "kind": "function", "doc": "An optional method to verify the total input arity.
\n\nThis is called after any implicit conversion to generators, but does\nnot include any extra_generators().
\n\nOverriding next_state with a fixed number of counts will make this\ncheck redundant.
\n\nRaises:
\n\n\nValueError if the total input arity is not valid.
\n", "signature": "(self, arity: int) -> None:", "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.typing.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.order": {"fullname": "icepool.evaluator.ExpandEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.SumEvaluator.order": {"fullname": "icepool.evaluator.SumEvaluator.order", "modulename": "icepool.evaluator", "qualname": "SumEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.CountEvaluator.order": {"fullname": "icepool.evaluator.CountEvaluator.order", "modulename": "icepool.evaluator", "qualname": "CountEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.AnyEvaluator.order": {"fullname": "icepool.evaluator.AnyEvaluator.order", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.order": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.order", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "funcdef": "def"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator.alignment": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.alignment", "kind": "function", "doc": "Always sees zero counts.
\n", "signature": "(self, outcomes: Sequence) -> Collection:", "funcdef": "def"}, "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.LargestCountEvaluator.order": {"fullname": "icepool.evaluator.LargestCountEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestCountEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "funcdef": "def"}, "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.LargestCountAndOutcomeEvaluator.order": {"fullname": "icepool.evaluator.LargestCountAndOutcomeEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestCountAndOutcomeEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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: int | None = 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.order": {"fullname": "icepool.evaluator.AllCountsEvaluator.order", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator.alignment": {"fullname": "icepool.evaluator.AllCountsEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.alignment", "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.order": {"fullname": "icepool.evaluator.LargestStraightEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.order", "kind": "function", "doc": "Ascending order.
\n", "signature": "(self) -> Literal[<Order.Ascending: 1>]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator.alignment": {"fullname": "icepool.evaluator.LargestStraightEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator", "kind": "class", "doc": "The size of the largest straight, along with the greatest outcome in that straight.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, int]]"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.next_state", "kind": "function", "doc": "Implementation.
\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": "Implementation.
\n", "signature": "(self, final_state) -> tuple[int, int]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.order": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.order", "kind": "function", "doc": "Ascending order.
\n", "signature": "(self) -> Literal[<Order.Ascending: 1>]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.alignment": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "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 duplicates can\nproduce overlapping straights.
\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.order": {"fullname": "icepool.evaluator.AllStraightsEvaluator.order", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.order", "kind": "function", "doc": "Ascending order.
\n", "signature": "(self) -> Literal[<Order.Ascending: 1>]:", "funcdef": "def"}, "icepool.evaluator.AllStraightsEvaluator.alignment": {"fullname": "icepool.evaluator.AllStraightsEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator 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.ComparisonEvaluator.order": {"fullname": "icepool.evaluator.ComparisonEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.ConstantEvaluator": {"fullname": "icepool.evaluator.ConstantEvaluator", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator", "kind": "class", "doc": "An evaluator that ignores its arguments and returns a constant result.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, +U_co]"}, "icepool.evaluator.ConstantEvaluator.__init__": {"fullname": "icepool.evaluator.ConstantEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(result: icepool.population.die.Die[+U_co])"}, "icepool.evaluator.ConstantEvaluator.next_state": {"fullname": "icepool.evaluator.ConstantEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the number that outcome produced by each generator.
\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\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 generators, the set of outcomes is the\nunion of the outcomes of the invididual generators. All outcomes\nwith nonzero count will be seen. Outcomes with zero count\nmay or may not be seen. If you need to enforce that certain\noutcomes are seen even if they have zero count, see\nalignment(). \n- *counts: One value (usually an
int) for each generator output\nindicating how many of the current outcome were produced.\nAll outcomes with nonzero count are guaranteed to be seen.\nTo guarantee that outcomes are seen even if they have zero\ncount, override alignment(). \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.ConstantEvaluator.final_outcome": {"fullname": "icepool.evaluator.ConstantEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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) -> icepool.population.die.Die[+U_co]:", "funcdef": "def"}, "icepool.evaluator.CompairEvalautor": {"fullname": "icepool.evaluator.CompairEvalautor", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor", "kind": "class", "doc": "Compares sorted pairs of two multisets and scores wins, ties, and extra elements.
\n\nThis can be used for e.g. RISK-like mechanics.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.CompairEvalautor.__init__": {"fullname": "icepool.evaluator.CompairEvalautor.__init__", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.__init__", "kind": "function", "doc": "Compares sorted pairs of two multisets and scores wins, ties, and extra elements.
\n\nFor example, left=1 would count how many pairs were won by the left\nside, and left=1, right=-1 would give the difference in the number of\npairs won by each side.
\n\nAny score argument \n(initial, tie, left, right, extra_left, extra_right) \nnot provided will be set to a zero value determined from another score \nargument times 0.
\n\nArguments:
\n\n\n- op: Sets the score values based on the given operator and
order.\nAllowed values are '<', '<=', '>', '>=', '==', '!='.\nEach pair that fits the comparator counts as 1.\nIf one side has more elements than the other, the extra\nelements are ignored. \n- order: If descending (default), pairs are made in descending order\nand the higher element wins. If ascending, pairs are made in\nascending order and the lower element wins.
\n- initial: The initial score.
\n- tie: The score for each pair that is a tie.
\n- left: The score for each pair that left wins.
\n- right: The score for each pair that right wins.
\n- extra_left: If left has more elements, each extra element scores\nthis much.
\n- extra_right: If right has more elements, each extra element scores\nthis much.
\n
\n", "signature": "(\top: Optional[Literal['<', '<=', '>', '>=', '==', '!=']] = None,\t*,\torder: icepool.typing.Order = <Order.Descending: -1>,\tinitial=None,\ttie=None,\tleft=None,\tright=None,\textra_left=None,\textra_right=None)"}, "icepool.evaluator.CompairEvalautor.next_state": {"fullname": "icepool.evaluator.CompairEvalautor.next_state", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the number that outcome produced by each generator.
\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\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 generators, the set of outcomes is the\nunion of the outcomes of the invididual generators. All outcomes\nwith nonzero count will be seen. Outcomes with zero count\nmay or may not be seen. If you need to enforce that certain\noutcomes are seen even if they have zero count, see\nalignment(). \n- *counts: One value (usually an
int) for each generator output\nindicating how many of the current outcome were produced.\nAll outcomes with nonzero count are guaranteed to be seen.\nTo guarantee that outcomes are seen even if they have zero\ncount, override alignment(). \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.CompairEvalautor.final_outcome": {"fullname": "icepool.evaluator.CompairEvalautor.final_outcome", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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.CompairEvalautor.order": {"fullname": "icepool.evaluator.CompairEvalautor.order", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.order", "kind": "function", "doc": "Optional function to determine the order in which next_state() will see outcomes.
\n\nThe default is ascending order. This has better caching behavior with \nmixed standard dice.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if
next_state() should always see the outcomes in ascending order. \n - Order.Descending (= -1)\n if
next_state() should always see the outcomes in descending order. \n - Order.Any (= 0)\n if the result of the evaluation is order-independent.
\n
\n
\n", "signature": "(self) -> icepool.typing.Order:", "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", "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.typing.Order:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator": {"fullname": "icepool.evaluator.ExpressionEvaluator", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator", "kind": "class", "doc": "Assigns an expression to be evaluated first to each input of an evaluator.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, +U_co]"}, "icepool.evaluator.ExpressionEvaluator.__init__": {"fullname": "icepool.evaluator.ExpressionEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*expressions: icepool.expression.multiset_expression.MultisetExpression[-T_contra],\tevaluator: icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, +U_co],\ttruth_value: bool | None = None)"}, "icepool.evaluator.ExpressionEvaluator.next_state": {"fullname": "icepool.evaluator.ExpressionEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.next_state", "kind": "function", "doc": "Adjusts the counts, then forwards to inner.
\n", "signature": "(self, state, outcome, *counts):", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.final_outcome": {"fullname": "icepool.evaluator.ExpressionEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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.ExpressionEvaluator.order": {"fullname": "icepool.evaluator.ExpressionEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.order", "kind": "function", "doc": "Forwards to inner.
\n", "signature": "(self) -> icepool.typing.Order:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.alignment": {"fullname": "icepool.evaluator.ExpressionEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.alignment", "kind": "function", "doc": "Forwards to inner.
\n", "signature": "(self, *generators) -> Collection[-T_contra]:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.prefix_generators": {"fullname": "icepool.evaluator.ExpressionEvaluator.prefix_generators", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.prefix_generators", "kind": "function", "doc": "An optional sequence of extra generators whose counts will be prepended to *counts.
\n", "signature": "(\tself) -> tuple[icepool.generator.multiset_generator.MultisetGenerator, ...]:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.validate_arity": {"fullname": "icepool.evaluator.ExpressionEvaluator.validate_arity", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.validate_arity", "kind": "function", "doc": "An optional method to verify the total input arity.
\n\nThis is called after any implicit conversion to generators, but does\nnot include any extra_generators().
\n\nOverriding next_state with a fixed number of counts will make this\ncheck redundant.
\n\nRaises:
\n\n\nValueError if the total input arity is not valid.
\n", "signature": "(self, arity: int) -> None:", "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.
\n\nSpecifically, the outcomes are ints from 1 to sides inclusive,\nwith quantity 1 each.
\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.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", "signature": "(n: int, d: int, /) -> icepool.population.die.Die[bool]:", "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\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. \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.min_outcome": {"fullname": "icepool.function.min_outcome", "modulename": "icepool.function", "qualname": "min_outcome", "kind": "function", "doc": "The minimum outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.function.max_outcome": {"fullname": "icepool.function.max_outcome", "modulename": "icepool.function", "qualname": "max_outcome", "kind": "function", "doc": "The maximum outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.function.align": {"fullname": "icepool.function.align", "modulename": "icepool.function", "qualname": "align", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.function.align_range": {"fullname": "icepool.function.align_range", "modulename": "icepool.function", "qualname": "align_range", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of consecutive int outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: int | icepool.population.die.Die[int]) -> tuple[icepool.population.die.Die[int], ...]:", "funcdef": "def"}, "icepool.function.commonize_denominator": {"fullname": "icepool.function.commonize_denominator", "modulename": "icepool.function", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the weights of the dice so that all of them have the same denominator.
\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\nfunctools.reduce().
\n\nArguments:
\n\n\n- func: 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_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: 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\nitertools.accumulate()\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- func: 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": "(\tfunc: 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.iter_cartesian_product": {"fullname": "icepool.function.iter_cartesian_product", "modulename": "icepool.function", "qualname": "iter_cartesian_product", "kind": "function", "doc": "Yields the independent joint distribution of the arguments.
\n\nArguments:
\n\n\n- *args: These may be dice, which will be expanded into their joint\noutcomes. Non-dice are left as-is.
\n
\n\nYields:
\n\n\n Tuples containing one outcome per arg and the joint quantity.
\n
\n", "signature": "(\t*args: icepool.typing.Outcome | icepool.population.base.Population | icepool.expression.multiset_expression.MultisetExpression) -> Iterator[tuple[tuple, int]]:", "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.
\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.\nIt will re-roll the current stage, not the entire series.
\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.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\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\nEXPERIMENTAL: If set to None, the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- again_depth: Forwarded to the final die constructor.
\n- 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.expression.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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@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\nOr with keyword arguments, in which case the extra arguments are bound:
\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\nArguments:
\n\n\n- again_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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- 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- repeat: This will be repeated with the same arguments on the result\nthis 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]]],\tstate,\t/,\t*extra_args,\tstar: bool | None = None,\trepeat: int) -> icepool.population.die.Die[tuple[~T, 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.Order": {"fullname": "icepool.typing.Order", "modulename": "icepool.typing", "qualname": "Order", "kind": "class", "doc": "Can be used to define what order outcomes are seen in by MultisetEvaluators.
\n", "bases": "enum.IntEnum"}, "icepool.typing.Order.Ascending": {"fullname": "icepool.typing.Order.Ascending", "modulename": "icepool.typing", "qualname": "Order.Ascending", "kind": "variable", "doc": "\n", "default_value": "<Order.Ascending: 1>"}, "icepool.typing.Order.Descending": {"fullname": "icepool.typing.Order.Descending", "modulename": "icepool.typing", "qualname": "Order.Descending", "kind": "variable", "doc": "\n", "default_value": "<Order.Descending: -1>"}, "icepool.typing.Order.Any": {"fullname": "icepool.typing.Order.Any", "modulename": "icepool.typing", "qualname": "Order.Any", "kind": "variable", "doc": "\n", "default_value": "<Order.Any: 0>"}, "icepool.typing.Order.merge": {"fullname": "icepool.typing.Order.merge", "modulename": "icepool.typing", "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\nValueError if both Ascending and Descending are in the- arguments.
\n
\n", "signature": "(*orders: icepool.typing.Order) -> icepool.typing.Order:", "funcdef": "def"}, "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.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": 110}, "icepool.d": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 45, "bases": 0, "doc": 99}, "icepool.coin": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 55, "bases": 0, "doc": 44}, "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": 204}, "icepool.Die.__init__": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 168, "bases": 0, "doc": 745}, "icepool.Die.unary_operator": 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"signature": 140, "bases": 0, "doc": 158}, "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": 91}, "icepool.Die.set_range": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 112, "bases": 0, "doc": 110}, "icepool.Die.set_outcomes": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 57, "bases": 0, "doc": 41}, "icepool.Die.trim": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 8}, "icepool.Die.map": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 383, "bases": 0, "doc": 34}, "icepool.Die.map_and_time": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 248, "bases": 0, "doc": 37}, "icepool.Die.explode": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 152, "bases": 0, "doc": 166}, "icepool.Die.if_else": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 235, "bases": 0, "doc": 57}, "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.pool": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 79, "bases": 0, "doc": 110}, "icepool.Die.lowest": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 83, "bases": 0, "doc": 119}, "icepool.Die.highest": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 92, "bases": 0, "doc": 108}, "icepool.Die.middle": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 123, "bases": 0, "doc": 138}, "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.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.zero": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 59}, "icepool.Die.zero_outcome": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 17, "bases": 0, "doc": 28}, "icepool.Die.cmp": {"qualname": 2, "fullname": 3, 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28, "bases": 0, "doc": 24}, "icepool.Population.nearest_gt": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 28, "bases": 0, "doc": 24}, "icepool.Population.quantity": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 24, "bases": 0, "doc": 14}, "icepool.Population.quantities": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 70, "bases": 0, "doc": 61}, "icepool.Population.denominator": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 14, "bases": 0, "doc": 32}, "icepool.Population.scale_quantities": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 33, "bases": 0, "doc": 9}, "icepool.Population.has_zero_quantities": {"qualname": 4, "fullname": 5, "annotation": 0, "default_value": 0, "signature": 14, "bases": 0, "doc": 18}, "icepool.Population.quantity_ne": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, 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0, "signature": 43, "bases": 0, "doc": 39}, "icepool.Population.quantities_gt": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 43, "bases": 0, "doc": 39}, "icepool.Population.probability": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 15}, "icepool.Population.probability_le": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 9}, "icepool.Population.probability_lt": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 9}, "icepool.Population.probability_ge": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 9}, "icepool.Population.probability_gt": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 9}, "icepool.Population.probabilities": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 88, "bases": 0, "doc": 90}, "icepool.Population.probabilities_le": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 88, "bases": 0, "doc": 103}, "icepool.Population.probabilities_ge": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 88, "bases": 0, "doc": 109}, "icepool.Population.probabilities_lt": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 88, "bases": 0, "doc": 81}, "icepool.Population.probabilities_gt": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 88, "bases": 0, "doc": 81}, "icepool.Population.mode": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 14, "bases": 0, "doc": 24}, "icepool.Population.modal_quantity": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 14, "bases": 0, "doc": 10}, "icepool.Population.kolmogorov_smirnov": {"qualname": 3, 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"fullname": 4, "annotation": 0, "default_value": 0, "signature": 44, "bases": 0, "doc": 24}, "icepool.Population.mean": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 84, "bases": 0, "doc": 3}, "icepool.Population.variance": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 84, "bases": 0, "doc": 12}, "icepool.Population.standard_deviation": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 73, "bases": 0, "doc": 3}, "icepool.Population.sd": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 73, "bases": 0, "doc": 3}, "icepool.Population.standardized_moment": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 84, "bases": 0, "doc": 3}, "icepool.Population.skewness": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 73, "bases": 0, "doc": 3}, "icepool.Population.excess_kurtosis": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 73, "bases": 0, "doc": 3}, "icepool.Population.entropy": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 32, "bases": 0, "doc": 40}, "icepool.Population.marginals": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 0, "bases": 0, "doc": 32}, "icepool.Population.covariance": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 128, "bases": 0, "doc": 3}, "icepool.Population.correlation": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 117, "bases": 0, "doc": 3}, "icepool.Population.sample": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 17, "bases": 0, "doc": 45}, "icepool.Population.format": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 37, "bases": 0, "doc": 227}, "icepool.tupleize": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 112, "bases": 0, "doc": 211}, "icepool.vectorize": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 130, "bases": 0, "doc": 211}, "icepool.Vector": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 0, "bases": 6, "doc": 24}, "icepool.Vector.unary_operator": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 80, "bases": 0, "doc": 32}, "icepool.Vector.abs": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 38, "bases": 0, "doc": 3}, "icepool.Vector.round": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 52, "bases": 0, "doc": 3}, "icepool.Vector.trunc": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 3}, "icepool.Vector.floor": {"qualname": 2, "fullname": 3, "annotation": 0, "default_value": 0, "signature": 29, "bases": 0, "doc": 3}, 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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- Unless explictly specified otherwise, elements with zero quantity, rolls, etc.\nare considered.
\n
\n"}, "icepool.d": {"fullname": "icepool.d", "modulename": "icepool", "qualname": "d", "kind": "function", "doc": "A standard die.
\n\nSpecifically, the outcomes are ints from 1 to sides inclusive,\nwith quantity 1 each.
\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.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", "signature": "(n: int, d: int, /) -> icepool.population.die.Die[bool]:", "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 is (mostly) well-defined to have a Die with zero-quantity outcomes.\nThese can be useful in a few cases, such as:
\n\n\nMultisetEvaluator will iterate through zero-quantity outcomes,\nrather than possibly skipping that outcome. (Though in most cases it's\nbetter to use MultisetEvaluator.alignment().)icepool.align() and the like are convenient for making dice share the\nsame set of outcomes.
\n\nHowever, zero-quantity outcomes have a computational cost like any other\noutcome. Unless you have a specific use case in mind, it's best to leave\nthem out.
\n\nMost operators and methods will not introduce zero-quantity outcomes if\ntheir arguments do not have any; nor remove zero-quantity outcomes.
\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, though they can be zero.
\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. For example,
\n\nDie([1, 2, 3, 4, 5, 6 + Again])\n
\n\nwould be an exploding d6. Use the again_depth parameter to control\nthe maximum depth. again_depth does not apply to Reroll.
\n\nIf the roll reaches the maximum depth, the again_end is used instead\nof rolling again. Options for again_end include:
\n\n\n- No value (
None), which will attempt to determine a zero value from\nthe outcomes that don't involve Again. \n- A single outcome, or a
Die. \nReroll, which will reroll any end roll involving Again.- You could also consider some sort of placeholder value such as\n
math.inf. \n
\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 is the primary\ndenominator times the LCM of the outcome denominators.
\n\nFor example, Die([d3, d4, d6]) has a final denominator of 36: 3 for\nthe primary selection between the three secondary dice, times 12 for\nthe LCM of 3, 4, and 6.
\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_depth: int = 1,\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\ncartesian_product(d6, d8) * 2\ncartesian_product(d6 * 2, d8 * 2)\n
\n\nThis 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 single outcome to reroll.
\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 omitted, 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: int | None = None) -> 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 omitted, 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: int | None = None) -> icepool.population.die.Die[+T_co]:", "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.\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.set_range": {"fullname": "icepool.Die.set_range", "modulename": "icepool", "qualname": "Die.set_range", "kind": "function", "doc": "Sets the outcomes of this Die to the given int range (inclusive).
\n\nThis may remove outcomes (if they are not within the range)\nand/or add zero-quantity outcomes (if they are in range but not present\nin this Die).
\n\nArguments:
\n\n\n- min_outcome: The min outcome of the result.\nIf omitted, the min outcome of this
Die will be used. \n- max_outcome: The max outcome of the result.\nIf omitted, the max outcome of this
Die will be used. \n
\n", "signature": "(\tself: icepool.population.die.Die[int],\tmin_outcome: int | None = None,\tmax_outcome: int | None = None) -> icepool.population.die.Die[int]:", "funcdef": "def"}, "icepool.Die.set_outcomes": {"fullname": "icepool.Die.set_outcomes", "modulename": "icepool", "qualname": "Die.set_outcomes", "kind": "function", "doc": "Sets the set of outcomes to the argument.
\n\nThis may remove outcomes (if they are not present in the argument)\nand/or add zero-quantity outcomes (if they are not present in this Die).
\n", "signature": "(self, outcomes: Iterable[+T_co]) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.trim": {"fullname": "icepool.Die.trim", "modulename": "icepool", "qualname": "Die.trim", "kind": "function", "doc": "Removes all zero-quantity outcomes.
\n", "signature": "(self) -> 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: int | None = 1,\tagain_depth: int = 1,\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,\trepeat: int) -> icepool.population.die.Die[tuple[+T_co, int]]:", "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.\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.
\n
\n", "signature": "(\tself,\twhich: Union[Callable[..., bool], Collection[+T_co], NoneType] = None,\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_depth: Forwarded to the final die constructor.
\n- 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_depth: int = 1,\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.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.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: The number of dice to keep.
\n- drop: If provided, this many lowest dice will be dropped before\nkeeping.
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int = 1,\tdrop: int = 0) -> 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: The number of dice to keep.
\n- drop: If provided, this many highest dice will be dropped before\nkeeping.
\n
\n\nReturns:
\n\n\n A Die representing the probability distribution of the sum.
\n
\n", "signature": "(\tself,\trolls: int,\t/,\tkeep: int = 1,\tdrop: int = 0) -> 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.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.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.zero": {"fullname": "icepool.Die.zero", "modulename": "icepool", "qualname": "Die.zero", "kind": "function", "doc": "Zeros all outcomes of this die.
\n\nThis is done by multiplying all outcomes by 0.
\n\nThe result will have the same denominator as this die.
\n\nRaises:
\n\n\n- ValueError: If the zeros did not resolve to a single outcome.
\n
\n", "signature": "(self) -> icepool.population.die.Die[+T_co]:", "funcdef": "def"}, "icepool.Die.zero_outcome": {"fullname": "icepool.Die.zero_outcome", "modulename": "icepool", "qualname": "Die.zero_outcome", "kind": "function", "doc": "A zero-outcome for this die.
\n\nE.g. 0 for a Die whose outcomes are ints.
\n", "signature": "(self) -> +T_co:", "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\nThis will include all three outcomes even if they have zero quantity.
\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_le": {"fullname": "icepool.Population.nearest_le", "modulename": "icepool", "qualname": "Population.nearest_le", "kind": "function", "doc": "The nearest outcome that is <= the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.nearest_lt": {"fullname": "icepool.Population.nearest_lt", "modulename": "icepool", "qualname": "Population.nearest_lt", "kind": "function", "doc": "The nearest outcome that is < the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.nearest_ge": {"fullname": "icepool.Population.nearest_ge", "modulename": "icepool", "qualname": "Population.nearest_ge", "kind": "function", "doc": "The nearest outcome that is >= the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+T_co]:", "funcdef": "def"}, "icepool.Population.nearest_gt": {"fullname": "icepool.Population.nearest_gt", "modulename": "icepool", "qualname": "Population.nearest_gt", "kind": "function", "doc": "The nearest outcome that is > the argument.
\n\nReturns None if there is no such outcome.
\n", "signature": "(self, outcome) -> Optional[+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, or 0 if not present.
\n", "signature": "(self, outcome: Hashable) -> 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\nThese are also the values of the mapping.\nPrefer to use the name quantities.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None) -> 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, including those with zero quantity,\nuse len().
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Population.scale_quantities": {"fullname": "icepool.Population.scale_quantities", "modulename": "icepool", "qualname": "Population.scale_quantities", "kind": "function", "doc": "Scales all quantities by an integer.
\n", "signature": "(self: ~C, scale: int) -> ~C:", "funcdef": "def"}, "icepool.Population.has_zero_quantities": {"fullname": "icepool.Population.has_zero_quantities", "modulename": "icepool", "qualname": "Population.has_zero_quantities", "kind": "function", "doc": "True iff self contains at least one outcome with zero quantity.
\n", "signature": "(self) -> bool:", "funcdef": "def"}, "icepool.Population.quantity_ne": {"fullname": "icepool.Population.quantity_ne", "modulename": "icepool", "qualname": "Population.quantity_ne", "kind": "function", "doc": "The quantity != a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_le": {"fullname": "icepool.Population.quantity_le", "modulename": "icepool", "qualname": "Population.quantity_le", "kind": "function", "doc": "The quantity <= a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_lt": {"fullname": "icepool.Population.quantity_lt", "modulename": "icepool", "qualname": "Population.quantity_lt", "kind": "function", "doc": "The quantity < a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_ge": {"fullname": "icepool.Population.quantity_ge", "modulename": "icepool", "qualname": "Population.quantity_ge", "kind": "function", "doc": "The quantity >= a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantity_gt": {"fullname": "icepool.Population.quantity_gt", "modulename": "icepool", "qualname": "Population.quantity_gt", "kind": "function", "doc": "The quantity > a single outcome.
\n", "signature": "(self, outcome) -> int:", "funcdef": "def"}, "icepool.Population.quantities_le": {"fullname": "icepool.Population.quantities_le", "modulename": "icepool", "qualname": "Population.quantities_le", "kind": "function", "doc": "The quantity <= each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.quantities_ge": {"fullname": "icepool.Population.quantities_ge", "modulename": "icepool", "qualname": "Population.quantities_ge", "kind": "function", "doc": "The quantity >= each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.quantities_lt": {"fullname": "icepool.Population.quantities_lt", "modulename": "icepool", "qualname": "Population.quantities_lt", "kind": "function", "doc": "The quantity < each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.quantities_gt": {"fullname": "icepool.Population.quantities_gt", "modulename": "icepool", "qualname": "Population.quantities_gt", "kind": "function", "doc": "The quantity > each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the quantities corresponding to these\noutcomes will be returned (or 0 if not present).
\n
\n", "signature": "(self, outcomes: Optional[Sequence] = None) -> Sequence[int]:", "funcdef": "def"}, "icepool.Population.probability": {"fullname": "icepool.Population.probability", "modulename": "icepool", "qualname": "Population.probability", "kind": "function", "doc": "The probability of a single outcome, or 0.0 if not present.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_le": {"fullname": "icepool.Population.probability_le", "modulename": "icepool", "qualname": "Population.probability_le", "kind": "function", "doc": "The probability <= a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_lt": {"fullname": "icepool.Population.probability_lt", "modulename": "icepool", "qualname": "Population.probability_lt", "kind": "function", "doc": "The probability < a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_ge": {"fullname": "icepool.Population.probability_ge", "modulename": "icepool", "qualname": "Population.probability_ge", "kind": "function", "doc": "The probability >= a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probability_gt": {"fullname": "icepool.Population.probability_gt", "modulename": "icepool", "qualname": "Population.probability_gt", "kind": "function", "doc": "The probability > a single outcome.
\n", "signature": "(self, outcome: Hashable) -> fractions.Fraction:", "funcdef": "def"}, "icepool.Population.probabilities": {"fullname": "icepool.Population.probabilities", "modulename": "icepool", "qualname": "Population.probabilities", "kind": "function", "doc": "The probability of each outcome in order.
\n\nAlso known as the probability mass function (PMF).
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_le": {"fullname": "icepool.Population.probabilities_le", "modulename": "icepool", "qualname": "Population.probabilities_le", "kind": "function", "doc": "The probability of rolling <= each outcome in order.
\n\nAlso known as the cumulative distribution function (CDF),\nthough this term is ambigiuous whether it is < or <=.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_ge": {"fullname": "icepool.Population.probabilities_ge", "modulename": "icepool", "qualname": "Population.probabilities_ge", "kind": "function", "doc": "The probability of rolling >= each outcome in order.
\n\nAlso known as the survival function (SF) or\ncomplementary cumulative distribution function (CCDF),\nthough these term are ambigiuous whether they are is > or >=.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_lt": {"fullname": "icepool.Population.probabilities_lt", "modulename": "icepool", "qualname": "Population.probabilities_lt", "kind": "function", "doc": "The probability of rolling < each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\t*,\tpercent: bool = False) -> Union[Sequence[fractions.Fraction], Sequence[float]]:", "funcdef": "def"}, "icepool.Population.probabilities_gt": {"fullname": "icepool.Population.probabilities_gt", "modulename": "icepool", "qualname": "Population.probabilities_gt", "kind": "function", "doc": "The probability of rolling > each outcome in order.
\n\nArguments:
\n\n\n- outcomes: If provided, the probabilities corresponding to these\noutcomes will be returned (or 0 if not present).
\n- percent: If set, the results will be in percent \n(i.e. total of 100.0) and the values are
floats.\nOtherwise, the total will be 1 and the values are Fractions. \n
\n", "signature": "(\tself,\toutcomes: Optional[Sequence] = None,\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) -> 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) -> 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 the outcomes.
\n"}, "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.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) ==, <=, or >= each outcome.%==, %<=, %>=: Probabilities (0%-100%) ==, <=, or >= each outcome.
\n\nColumns may optionally be separated using | characters.
\n\nThe default columns are *o|q==|%==, which are the unpacked outcomes,\nthe quantities, and the probabilities. The quantities are omitted from\nthe default columns if 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.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_depth and again_end arguments to Die() affect how these\narguments are processed.
\n\nIf you want something more complex, use e.g. Die.map() instead.
\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\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. \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.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: The number of lowest dice will be summed.
\n- drop: This number of lowest 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 = 1,\tdrop: int = 0,\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: The number of highest dice will be summed.
\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 = 1,\tdrop: int = 0,\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 outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.max_outcome": {"fullname": "icepool.max_outcome", "modulename": "icepool", "qualname": "max_outcome", "kind": "function", "doc": "The maximum outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.align": {"fullname": "icepool.align", "modulename": "icepool", "qualname": "align", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.align_range": {"fullname": "icepool.align_range", "modulename": "icepool", "qualname": "align_range", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of consecutive int outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: int | icepool.population.die.Die[int]) -> tuple[icepool.population.die.Die[int], ...]:", "funcdef": "def"}, "icepool.commonize_denominator": {"fullname": "icepool.commonize_denominator", "modulename": "icepool", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the weights of the dice so that all of them have the same denominator.
\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\nfunctools.reduce().
\n\nArguments:
\n\n\n- func: 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_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: 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\nitertools.accumulate()\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- func: 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": "(\tfunc: 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.
\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.\nIt will re-roll the current stage, not the entire series.
\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.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\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\nEXPERIMENTAL: If set to None, the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- again_depth: Forwarded to the final die constructor.
\n- 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.expression.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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@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\nOr with keyword arguments, in which case the extra arguments are bound:
\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\nArguments:
\n\n\n- again_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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- 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- repeat: This will be repeated with the same arguments on the result\nthis 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]]],\tstate,\t/,\t*extra_args,\tstar: bool | None = None,\trepeat: int) -> icepool.population.die.Die[tuple[~T, 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.multiset_generator.MultisetGenerator[~T, tuple[int]]"}, "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. In this case you may want to provide a die with zero\nquantity.
\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.keep_size": {"fullname": "icepool.Pool.keep_size", "modulename": "icepool", "qualname": "Pool.keep_size", "kind": "function", "doc": "The total count produced by this pool after 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", "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.keep_tuple": {"fullname": "icepool.Pool.keep_tuple", "modulename": "icepool", "qualname": "Pool.keep_tuple", "kind": "function", "doc": "The tuple indicating which dice in the pool will be counted.
\n\nThe tuple has one element per Die in the pool, from lowest roll to\nhighest roll. The Die in the corresponding sorted position will be\ncounted that many times.
\n", "signature": "(self) -> tuple[int, ...]:", "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.keep": {"fullname": "icepool.Pool.keep", "modulename": "icepool", "qualname": "Pool.keep", "kind": "function", "doc": "A Pool with the selected dice counted after rolling and sorting.
\n\nUse pool[index] for the same effect as this method.
\n\nThe rolls are sorted in ascending order for this purpose,\nregardless of which order the outcomes are evaluated in.
\n\nFor example, here are some ways of selecting the two highest rolls out\nof five:
\n\n\npool[3:5]pool[3:]pool[-2:]pool[..., 1, 1]pool[0, 0, 0, 1, 1]
\n\nThese will count the highest as a positive and the lowest as a negative:
\n\n\npool[-1, 0, 0, 0, 1]pool[-1, ..., 1]
\n\nThe valid types of argument are:
\n\n\n- An
int. This will count only the roll at the specified index.\nIn this case, the result is a Die rather than a Pool. \n- A
slice. The selected dice are counted once each. \nA sequence of one int for each Die.\nEach roll is counted that many times, which could be multiple or\nnegative times.
\n\nUp to one ... (Ellipsis) may be used.\n... will be replaced with a number of zero\ncounts depending on the size of the pool.\nThis number may be \"negative\" if more ints are provided than\nthe size of the Pool. Specifically:
\n\n\n- If
index is shorter than size, ...\nacts as enough zero counts to make up the difference.\nE.g. pool[1, ..., 1] on five dice would act as\npool[1, 0, 0, 0, 1]. \n- If
index has length equal to size, ... has no effect.\nE.g. pool[1, ..., 1] on two dice would act as pool[1, 1]. \n- If
index is longer than size and ... is on one side,\nelements will be dropped from index on the side with ....\nE.g. pool[..., 1, 2, 3] on two dice would act as pool[2, 3]. \n- If
index is longer than size and ...\nis in the middle, the counts will be as the sum of two\none-sided ....\nE.g. pool[-1, ..., 1] acts like [-1, ...] plus [..., 1].\nOn a Pool consisting of a single Die this would have\nthe -1 and 1 cancel each other out. \n
\n\nIf this is called more than once, the selection is applied relative\nto the previous keep_tuple. For example, applying [:2][-1] would\nproduce the second-lowest roll.
\n\nRaises:
\n\n\n- IndexError: If:\n
\n- More than one
... is used. \n- The current keep_tuple has negative counts.
\n- The provided index specifies a fixed length that is\ndifferent than the total of the counts in the current\nkeep_tuple.
\n
\n
\n", "signature": "(\tself,\tindex: Union[slice, Sequence[int | ellipsis], int]) -> Union[icepool.generator.pool.Pool[~T], icepool.population.die.Die[~T]]:", "funcdef": "def"}, "icepool.Pool.lowest": {"fullname": "icepool.Pool.lowest", "modulename": "icepool", "qualname": "Pool.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: The number of lowest elements will be kept.
\n- drop: This number of lowest elements will be dropped before keeping.
\n
\n", "signature": "(self, keep: int = 1, drop: int = 0) -> icepool.generator.pool.Pool[~T]:", "funcdef": "def"}, "icepool.Pool.highest": {"fullname": "icepool.Pool.highest", "modulename": "icepool", "qualname": "Pool.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: The number of highest elements will be kept.
\n- drop: This number of highest elements will be dropped before keeping.
\n
\n", "signature": "(self, keep: int = 1, drop: int = 0) -> icepool.generator.pool.Pool[~T]:", "funcdef": "def"}, "icepool.Pool.middle": {"fullname": "icepool.Pool.middle", "modulename": "icepool", "qualname": "Pool.middle", "kind": "function", "doc": "Keep some of the middle 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\nArguments:
\n\n\n- keep: The number of elements to keep. 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- 'low': The lower of the two possible elements is taken.
\n- 'high': The higher of the two possible elements is taken.
\n
\n
\n", "signature": "(\tself,\tkeep: int = 1,\t*,\ttie: Literal['error', 'high', 'low'] = 'error') -> icepool.generator.pool.Pool[~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 the multisets.
\n\nWe have an optimization here if all arguments are pools with all sorted\npositions counted the same. In this case we can merge the pools directly\ninstead of merging the rolls after the fact.
\n\nkeep_negative_counts: If set, if the result would have a negative \n count, it is preserved. Otherwise, negative counts in the result\n are set to zero, similar to the behavior of\n collections.Counter.
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[~T], Mapping[~T, int], Sequence[~T]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[~T]:", "funcdef": "def"}, "icepool.Pool.multiply_counts": {"fullname": "icepool.Pool.multiply_counts", "modulename": "icepool", "qualname": "Pool.multiply_counts", "kind": "function", "doc": "Multiplies all counts by a constant.
\n\nSame as self * constant.
\n\nExample:
\n\nPool([1, 2, 2, 3]) * 2 -> [1, 1, 2, 2, 2, 2, 3, 3]\n
\n", "signature": "(self, constant: int, /) -> icepool.generator.pool.Pool[~T]:", "funcdef": "def"}, "icepool.standard_pool": {"fullname": "icepool.standard_pool", "modulename": "icepool", "qualname": "standard_pool", "kind": "function", "doc": "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 0d1.
\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.expression.multiset_expression.MultisetExpression[~T]"}, "icepool.MultisetGenerator.outcomes": {"fullname": "icepool.MultisetGenerator.outcomes", "modulename": "icepool", "qualname": "MultisetGenerator.outcomes", "kind": "function", "doc": "The possible outcomes that could be generated, in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.MultisetGenerator.output_arity": {"fullname": "icepool.MultisetGenerator.output_arity", "modulename": "icepool", "qualname": "MultisetGenerator.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetGenerator.denominator": {"fullname": "icepool.MultisetGenerator.denominator", "modulename": "icepool", "qualname": "MultisetGenerator.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.MultisetGenerator.equals": {"fullname": "icepool.MultisetGenerator.equals", "modulename": "icepool", "qualname": "MultisetGenerator.equals", "kind": "function", "doc": "Whether this generator is logically equal to another object.
\n", "signature": "(self, other) -> bool:", "funcdef": "def"}, "icepool.MultisetGenerator.min_outcome": {"fullname": "icepool.MultisetGenerator.min_outcome", "modulename": "icepool", "qualname": "MultisetGenerator.min_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetGenerator.max_outcome": {"fullname": "icepool.MultisetGenerator.max_outcome", "modulename": "icepool", "qualname": "MultisetGenerator.max_outcome", "kind": "function", "doc": "\n", "signature": "(self) -> ~T:", "funcdef": "def"}, "icepool.MultisetGenerator.sample": {"fullname": "icepool.MultisetGenerator.sample", "modulename": "icepool", "qualname": "MultisetGenerator.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.Alignment": {"fullname": "icepool.Alignment", "modulename": "icepool", "qualname": "Alignment", "kind": "class", "doc": "A generator that does not output any counts.
\n\nThis can be used to enforce that certain outcomes are seen without otherwise\naffecting a multiset evaluation.
\n", "bases": "icepool.generator.multiset_generator.MultisetGenerator[~T, tuple[()]]"}, "icepool.Alignment.__init__": {"fullname": "icepool.Alignment.__init__", "modulename": "icepool", "qualname": "Alignment.__init__", "kind": "function", "doc": "\n", "signature": "(outcomes: Collection[~T])"}, "icepool.Alignment.outcomes": {"fullname": "icepool.Alignment.outcomes", "modulename": "icepool", "qualname": "Alignment.outcomes", "kind": "function", "doc": "The possible outcomes that could be generated, in ascending order.
\n", "signature": "(self) -> Sequence[~T]:", "funcdef": "def"}, "icepool.Alignment.output_arity": {"fullname": "icepool.Alignment.output_arity", "modulename": "icepool", "qualname": "Alignment.output_arity", "kind": "function", "doc": "The number of multisets/counts generated. Must be constant.
\n", "signature": "(self) -> int:", "funcdef": "def"}, "icepool.Alignment.denominator": {"fullname": "icepool.Alignment.denominator", "modulename": "icepool", "qualname": "Alignment.denominator", "kind": "function", "doc": "The total weight of all paths through this generator.
\n", "signature": "(self) -> int:", "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\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 keep_counts | \n count if count >= n else 0 | \n
\n\n unary + | \n same as keep_counts(0) | \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 Pool version | \n
\n\n highest | \n less capable than Pool version | \n
\n\n lowest | \n less capable than Pool 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 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_contra]"}, "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[1, 2, 2, 3] + [1, 2, 4] -> [1, 1, 2, 2, 2, 3, 4]\n
\n\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.difference": {"fullname": "icepool.MultisetExpression.difference", "modulename": "icepool", "qualname": "MultisetExpression.difference", "kind": "function", "doc": "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[1, 2, 2, 3] - [1, 2, 4] -> [2, 3]\n
\n\nIf 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\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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[1, 2, 2, 3] & [1, 2, 4] -> [1, 2]\n
\n\nNote 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\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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[1, 2, 2, 3] | [1, 2, 4] -> [1, 2, 2, 3, 4]\n
\n\nArguments:
\n\n\n- keep_negative_counts: If set, if the result would have a negative \ncount, it is preserved. Otherwise, negative counts in the result\nare set to zero, similar to the behavior of\n
collections.Counter. \n
\n", "signature": "(\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tkeep_negative_counts: bool = False) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.symmetric_difference": {"fullname": "icepool.MultisetExpression.symmetric_difference", "modulename": "icepool", "qualname": "MultisetExpression.symmetric_difference", "kind": "function", "doc": "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.keep_counts(0) ^ right.keep_counts(0).
\n\nExample:
\n\n[1, 2, 2, 3] ^ [1, 2, 4] -> [2, 3, 4]\n
\n", "signature": "(\tself,\tother: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.keep_outcomes": {"fullname": "icepool.MultisetExpression.keep_outcomes", "modulename": "icepool", "qualname": "MultisetExpression.keep_outcomes", "kind": "function", "doc": "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_contra], bool], Collection[-T_contra], icepool.expression.multiset_expression.MultisetExpression[-T_contra]],\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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_contra], bool], Collection[-T_contra], icepool.expression.multiset_expression.MultisetExpression[-T_contra]],\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\tfunction: Union[Callable[[int], int], Callable[[-T_contra, int], int]]) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.multiply_counts": {"fullname": "icepool.MultisetExpression.multiply_counts", "modulename": "icepool", "qualname": "MultisetExpression.multiply_counts", "kind": "function", "doc": "Multiplies all counts by a constant.
\n\nSame as self * constant.
\n\nExample:
\n\nPool([1, 2, 2, 3]) * 2 -> [1, 1, 2, 2, 2, 2, 3, 3]\n
\n", "signature": "(\tself,\tconstant: int,\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.divide_counts": {"fullname": "icepool.MultisetExpression.divide_counts", "modulename": "icepool", "qualname": "MultisetExpression.divide_counts", "kind": "function", "doc": "Divides all counts by a constant (rounding down).
\n\nSame as self // constant.
\n\nExample:
\n\nPool([1, 2, 2, 3]) // 2 -> [2]\n
\n", "signature": "(\tself,\tconstant: int,\t/) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.keep_counts": {"fullname": "icepool.MultisetExpression.keep_counts", "modulename": "icepool", "qualname": "MultisetExpression.keep_counts", "kind": "function", "doc": "Counts less than min_count are treated as zero.
\n\nFor example, expression.keep_counts(2) would only produce\npairs and better.
\n\nexpression.keep_counts(0) is useful for removing negative counts. \nYou can use the unary operator +expression for the same effect.
\n\nExample:
\n\nPool([1, 2, 2, 3]).keep_counts(2) -> [2, 2]\n
\n", "signature": "(\tself,\tmin_count: int) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.unique": {"fullname": "icepool.MultisetExpression.unique", "modulename": "icepool", "qualname": "MultisetExpression.unique", "kind": "function", "doc": "Counts each outcome at most max_count times.
\n\nFor example, generator.unique(2) would count each outcome at most\ntwice.
\n\nExample:
\n\nPool([1, 2, 2, 3]).unique() -> [1, 2, 3]\n
\n", "signature": "(\tself,\tmax_count: int = 1) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.keep": {"fullname": "icepool.MultisetExpression.keep", "modulename": "icepool", "qualname": "MultisetExpression.keep", "kind": "function", "doc": "Selects pulls after drawing and sorting.
\n\nThis is less capable and less efficient than the Pool 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\nUse the [] operator for the same effect as this method.
\n", "signature": "(\tself,\tindex: Union[slice, Sequence[int | ellipsis], int]) -> Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], icepool.population.die.Die[-T_contra], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, -T_contra]]:", "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: The number of lowest elements will be kept.
\n- drop: This number of lowest elements will be dropped before keeping.
\n
\n", "signature": "(\tself,\tkeep: int = 1,\tdrop: int = 0) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "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: The number of highest elements will be kept.
\n- drop: This number of highest elements will be dropped before keeping.
\n
\n", "signature": "(\tself,\tkeep: int = 1,\tdrop: int = 0) -> icepool.expression.multiset_expression.MultisetExpression[-T_contra]:", "funcdef": "def"}, "icepool.MultisetExpression.evaluate": {"fullname": "icepool.MultisetExpression.evaluate", "modulename": "icepool", "qualname": "MultisetExpression.evaluate", "kind": "function", "doc": "Attaches a final MultisetEvaluator to expressions.
\n\nAll of the MultisetExpression methods below are evaluations,\nas are the operators <, <=, >, >=, !=, ==. This means if the\nexpression is fully bound, it will be evaluated to a Die.
\n\nReturns:
\n\n\n A Die if the expression is are fully bound.\n A MultisetEvaluator otherwise.
\n
\n", "signature": "(\t*expressions: icepool.expression.multiset_expression.MultisetExpression[-T_contra],\tevaluator: icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, ~U]) -> Union[icepool.population.die.Die[~U], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, ~U]]:", "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.typing.Order = <Order.Ascending: 1>) -> Union[icepool.population.die.Die[tuple[-T_contra, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, tuple[-T_contra, ...]]]:", "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_contra], ~U], Mapping[-T_contra, ~U], NoneType] = None) -> Union[icepool.population.die.Die[~U], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, ~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_contra, 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_contra, 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_contra, int]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, tuple[-T_contra, 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() before this?\nkeep_counts() 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: int | None = 1) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, 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_contra, 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_contra]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, tuple[int, -T_contra]]]:", "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.expression.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 outcome in that straight.
\n\nOutcomes must be ints.
\n", "signature": "(\tself: icepool.expression.multiset_expression.MultisetExpression[int]) -> 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 duplicates can\nproduce overlapping straights.
\n", "signature": "(\tself: icepool.expression.multiset_expression.MultisetExpression[int]) -> Union[icepool.population.die.Die[tuple[int, ...]], icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, ...]]]:", "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.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, 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\ndeck.deal(5) >= ['a', 'a', 'b']\n
\n\nrepresents 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.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, 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", "signature": "(\tself,\tother: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\t/) -> Union[icepool.population.die.Die[bool], icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, bool]]:", "funcdef": "def"}, "icepool.MultisetExpression.compair": {"fullname": "icepool.MultisetExpression.compair", "modulename": "icepool", "qualname": "MultisetExpression.compair", "kind": "function", "doc": "Evaluation: EXPERIMENTAL: Compares sorted pairs of two multisets and scores wins, ties, and extra elements.
\n\nInterface is not stable yet.
\n\nFor example, left=1 would count how many pairs were won by the left\nside, and left=1, right=-1 would give the difference in the number of\npairs won by each side.
\n\nAny score argument \n(initial, tie, left, right, extra_left, extra_right) \nnot provided will be set to a zero value determined from another score \nargument times 0.
\n\nArguments:
\n\n\n- op: Sets the score values based on the given operator and
order.\nAllowed values are '<', '<=', '>', '>=', '==', '!='.\nEach pair that fits the comparator counts as 1.\nIf one side has more elements than the other, the extra\nelements are ignored. \n- order: If descending (default), pairs are made in descending order\nand the higher element wins. If ascending, pairs are made in\nascending order and the lower element wins.
\n- initial: The initial score.
\n- tie: The score for each pair that is a tie.
\n- left: The score for each pair that left wins.
\n- right: The score for each pair that right wins.
\n- extra_left: If left has more elements, each extra element scores\nthis much.
\n- extra_right: If right has more elements, each extra element scores\nthis much.
\n
\n", "signature": "(\tself,\tother: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]],\top: Optional[Literal['<', '<=', '>', '>=', '==', '!=']] = None,\t/,\t*,\torder: icepool.typing.Order = <Order.Descending: -1>,\tinitial=None,\ttie=None,\tleft=None,\tright=None,\textra_left=None,\textra_right=None) -> Union[icepool.population.die.Die, icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, Any]]:", "funcdef": "def"}, "icepool.MultisetEvaluator": {"fullname": "icepool.MultisetEvaluator", "modulename": "icepool", "qualname": "MultisetEvaluator", "kind": "class", "doc": "An abstract, immutable, callable class for evaulating one or more MultisetGenerators.
\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 generators.\nIndeed, most are expected to handle only a fixed number of generators,\nand often even only generators with a particular type of Die.
\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_contra, +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 number that outcome produced by each generator.
\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\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 generators, the set of outcomes is the\nunion of the outcomes of the invididual generators. All outcomes\nwith nonzero count will be seen. Outcomes with zero count\nmay or may not be seen. If you need to enforce that certain\noutcomes are seen even if they have zero count, see\nalignment(). \n- *counts: One value (usually an
int) for each generator output\nindicating how many of the current outcome were produced.\nAll outcomes with nonzero count are guaranteed to be seen.\nTo guarantee that outcomes are seen even if they have zero\ncount, override alignment(). \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_contra, /, *counts: int) -> Hashable:", "funcdef": "def"}, "icepool.MultisetEvaluator.final_outcome": {"fullname": "icepool.MultisetEvaluator.final_outcome", "modulename": "icepool", "qualname": "MultisetEvaluator.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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) -> 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 function to determine the order in which next_state() will see outcomes.
\n\nThe default is ascending order. This has better caching behavior with \nmixed standard dice.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if
next_state() should always see the outcomes in ascending order. \n - Order.Descending (= -1)\n if
next_state() should always see the outcomes in descending order. \n - Order.Any (= 0)\n if the result of the evaluation is order-independent.
\n
\n
\n", "signature": "(self) -> icepool.typing.Order:", "funcdef": "def"}, "icepool.MultisetEvaluator.alignment": {"fullname": "icepool.MultisetEvaluator.alignment", "modulename": "icepool", "qualname": "MultisetEvaluator.alignment", "kind": "function", "doc": "Optional method to specify additional outcomes that should be seen by next_state().
\n\nThese will be seen by next_state even if they have zero count or do\nnot appear in the generator(s) at all.
\n\nThe default implementation returns (); this means outcomes with zero\ncount may or may not be seen by next_state.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nalignment = icepool.MultisetEvaluator.range_alignment.\nSee range_alignment() below.
\n\nIf you want next_state to see all generator outcomes, you can return\noutcomes as-is.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the generators, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes: Sequence[-T_contra]) -> Collection[-T_contra]:", "funcdef": "def"}, "icepool.MultisetEvaluator.range_alignment": {"fullname": "icepool.MultisetEvaluator.range_alignment", "modulename": "icepool", "qualname": "MultisetEvaluator.range_alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.MultisetEvaluator.prefix_generators": {"fullname": "icepool.MultisetEvaluator.prefix_generators", "modulename": "icepool", "qualname": "MultisetEvaluator.prefix_generators", "kind": "function", "doc": "An optional sequence of extra generators whose counts will be prepended to *counts.
\n", "signature": "(\tself) -> tuple[icepool.generator.multiset_generator.MultisetGenerator, ...]:", "funcdef": "def"}, "icepool.MultisetEvaluator.validate_arity": {"fullname": "icepool.MultisetEvaluator.validate_arity", "modulename": "icepool", "qualname": "MultisetEvaluator.validate_arity", "kind": "function", "doc": "An optional method to verify the total input arity.
\n\nThis is called after any implicit conversion to generators, but does\nnot include any extra_generators().
\n\nOverriding next_state with a fixed number of counts will make this\ncheck redundant.
\n\nRaises:
\n\n\nValueError if the total input arity is not valid.
\n", "signature": "(self, arity: int) -> None:", "funcdef": "def"}, "icepool.MultisetEvaluator.evaluate": {"fullname": "icepool.MultisetEvaluator.evaluate", "modulename": "icepool", "qualname": "MultisetEvaluator.evaluate", "kind": "function", "doc": "Evaluates generator(s).
\n\nYou can call the MultisetEvaluator object directly for the same effect,\ne.g. sum_evaluator(generator) is an alias for sum_evaluator.evaluate(generator).
\n\nMost evaluators will expect a fixed number of input multisets.\nThe union of the outcomes of the generator(s) must be totally orderable.
\n\nArguments:
\n\n\n- *args: Each may be one of the following:\n
\n- A
GeneratorsWithExpression. \n- A
MultisetGenerator. \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 score.
\n
\n", "signature": "(\tself,\t*args: Union[icepool.expression.multiset_expression.MultisetExpression[-T_contra], Mapping[-T_contra, int], Sequence[-T_contra]]) -> icepool.population.die.Die[+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 generator(s) and evaluates the result.
\n", "signature": "(\tself,\t*generators: Union[icepool.generator.multiset_generator.MultisetGenerator[-T_contra, Any], Mapping[-T_contra, int], Sequence[-T_contra]]):", "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\nValueError if both Ascending and Descending are in the- arguments.
\n
\n", "signature": "(*orders: icepool.typing.Order) -> icepool.typing.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\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, including those with zero quantity,\nuse 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) -> icepool.generator.deal.Deal[+T_co, tuple[int, ...]]:", "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.Deal": {"fullname": "icepool.Deal", "modulename": "icepool", "qualname": "Deal", "kind": "class", "doc": "Represents an sorted/unordered deal of cards from a Deck.
\n", "bases": "icepool.generator.multiset_generator.MultisetGenerator[~T, ~Qs]"}, "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 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.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) -> ~Qs:", "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", "signature": "(self) -> int:", "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@multiset_function\ndef two_way_difference(a, b):\n return (a - b).expand(), (b - a).expand()\n
\n\nAny 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\ntarget = [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\nwould 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@multiset_function\ndef bad(a, b)\n if a == b:\n ...\n
\n\nis 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_contra, +U_co], tuple[Union[icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, +U_co], tuple[ForwardRef('NestedTupleOrEvaluator[T_contra, U_co]'), ...]], ...]]],\t/) -> icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, typing.Union[+U_co, tuple[typing.Union[+U_co, tuple[ForwardRef('NestedTupleOrOutcome[U_co]'), ...]], ...]]]:", "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_contra, tuple]"}, "icepool.evaluator.JointEvaluator.__init__": {"fullname": "icepool.evaluator.JointEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(*inners: 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.typing.Order:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.alignment": {"fullname": "icepool.evaluator.JointEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.alignment", "kind": "function", "doc": "Optional method to specify additional outcomes that should be seen by next_state().
\n\nThese will be seen by next_state even if they have zero count or do\nnot appear in the generator(s) at all.
\n\nThe default implementation returns (); this means outcomes with zero\ncount may or may not be seen by next_state.
\n\nIf you want next_state to see consecutive int outcomes, you can set\nalignment = icepool.MultisetEvaluator.range_alignment.\nSee range_alignment() below.
\n\nIf you want next_state to see all generator outcomes, you can return\noutcomes as-is.
\n\nArguments:
\n\n\n- outcomes: The outcomes that could be produced by the generators, in
\n- ascending order.
\n
\n", "signature": "(self, outcomes) -> Collection[-T_contra]:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.prefix_generators": {"fullname": "icepool.evaluator.JointEvaluator.prefix_generators", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.prefix_generators", "kind": "function", "doc": "An optional sequence of extra generators whose counts will be prepended to *counts.
\n", "signature": "(\tself) -> tuple[icepool.generator.multiset_generator.MultisetGenerator, ...]:", "funcdef": "def"}, "icepool.evaluator.JointEvaluator.validate_arity": {"fullname": "icepool.evaluator.JointEvaluator.validate_arity", "modulename": "icepool.evaluator", "qualname": "JointEvaluator.validate_arity", "kind": "function", "doc": "An optional method to verify the total input arity.
\n\nThis is called after any implicit conversion to generators, but does\nnot include any extra_generators().
\n\nOverriding next_state with a fixed number of counts will make this\ncheck redundant.
\n\nRaises:
\n\n\nValueError if the total input arity is not valid.
\n", "signature": "(self, arity: int) -> None:", "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.typing.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.order": {"fullname": "icepool.evaluator.ExpandEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ExpandEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.SumEvaluator.order": {"fullname": "icepool.evaluator.SumEvaluator.order", "modulename": "icepool.evaluator", "qualname": "SumEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.CountEvaluator.order": {"fullname": "icepool.evaluator.CountEvaluator.order", "modulename": "icepool.evaluator", "qualname": "CountEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.AnyEvaluator.order": {"fullname": "icepool.evaluator.AnyEvaluator.order", "modulename": "icepool.evaluator", "qualname": "AnyEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.order": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.order", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "funcdef": "def"}, "icepool.evaluator.HighestOutcomeAndCountEvaluator.alignment": {"fullname": "icepool.evaluator.HighestOutcomeAndCountEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "HighestOutcomeAndCountEvaluator.alignment", "kind": "function", "doc": "Always sees zero counts.
\n", "signature": "(self, outcomes: Sequence) -> Collection:", "funcdef": "def"}, "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.LargestCountEvaluator.order": {"fullname": "icepool.evaluator.LargestCountEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestCountEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "funcdef": "def"}, "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.LargestCountAndOutcomeEvaluator.order": {"fullname": "icepool.evaluator.LargestCountAndOutcomeEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestCountAndOutcomeEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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: int | None = 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.order": {"fullname": "icepool.evaluator.AllCountsEvaluator.order", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "funcdef": "def"}, "icepool.evaluator.AllCountsEvaluator.alignment": {"fullname": "icepool.evaluator.AllCountsEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "AllCountsEvaluator.alignment", "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.order": {"fullname": "icepool.evaluator.LargestStraightEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.order", "kind": "function", "doc": "Ascending order.
\n", "signature": "(self) -> Literal[<Order.Ascending: 1>]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightEvaluator.alignment": {"fullname": "icepool.evaluator.LargestStraightEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "LargestStraightEvaluator.alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator", "kind": "class", "doc": "The size of the largest straight, along with the greatest outcome in that straight.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[int, tuple[int, int]]"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.next_state", "kind": "function", "doc": "Implementation.
\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": "Implementation.
\n", "signature": "(self, final_state) -> tuple[int, int]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.order": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.order", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.order", "kind": "function", "doc": "Ascending order.
\n", "signature": "(self) -> Literal[<Order.Ascending: 1>]:", "funcdef": "def"}, "icepool.evaluator.LargestStraightAndOutcomeEvaluator.alignment": {"fullname": "icepool.evaluator.LargestStraightAndOutcomeEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "LargestStraightAndOutcomeEvaluator.alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator has any non-
int outcome. \n
\n", "signature": "(self, outcomes: Sequence[int]) -> Collection[int]:", "funcdef": "def"}, "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 duplicates can\nproduce overlapping straights.
\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.order": {"fullname": "icepool.evaluator.AllStraightsEvaluator.order", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.order", "kind": "function", "doc": "Ascending order.
\n", "signature": "(self) -> Literal[<Order.Ascending: 1>]:", "funcdef": "def"}, "icepool.evaluator.AllStraightsEvaluator.alignment": {"fullname": "icepool.evaluator.AllStraightsEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "AllStraightsEvaluator.alignment", "kind": "function", "doc": "Example implementation of alignment() that produces consecutive int outcomes.
\n\nThere is no expectation that a subclass be able to handle\nan arbitrary number of generators. Thus, you are free to rename any of\nthe parameters in a subclass, or to replace *generators with a fixed\nset of parameters.
\n\nSet alignment = icepool.MultisetEvaluator.range_alignment to use this.
\n\nReturns:
\n\n\n All ints from the min outcome to the max outcome among the generators,\n inclusive.
\n
\n\nRaises:
\n\n\n- TypeError: if any generator 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.ComparisonEvaluator.order": {"fullname": "icepool.evaluator.ComparisonEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ComparisonEvaluator.order", "kind": "function", "doc": "Allows any order.
\n", "signature": "(self) -> Literal[<Order.Any: 0>]:", "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.ConstantEvaluator": {"fullname": "icepool.evaluator.ConstantEvaluator", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator", "kind": "class", "doc": "An evaluator that ignores its arguments and returns a constant result.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, +U_co]"}, "icepool.evaluator.ConstantEvaluator.__init__": {"fullname": "icepool.evaluator.ConstantEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(result: icepool.population.die.Die[+U_co])"}, "icepool.evaluator.ConstantEvaluator.next_state": {"fullname": "icepool.evaluator.ConstantEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the number that outcome produced by each generator.
\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\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 generators, the set of outcomes is the\nunion of the outcomes of the invididual generators. All outcomes\nwith nonzero count will be seen. Outcomes with zero count\nmay or may not be seen. If you need to enforce that certain\noutcomes are seen even if they have zero count, see\nalignment(). \n- *counts: One value (usually an
int) for each generator output\nindicating how many of the current outcome were produced.\nAll outcomes with nonzero count are guaranteed to be seen.\nTo guarantee that outcomes are seen even if they have zero\ncount, override alignment(). \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.ConstantEvaluator.final_outcome": {"fullname": "icepool.evaluator.ConstantEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ConstantEvaluator.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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) -> icepool.population.die.Die[+U_co]:", "funcdef": "def"}, "icepool.evaluator.CompairEvalautor": {"fullname": "icepool.evaluator.CompairEvalautor", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor", "kind": "class", "doc": "Compares sorted pairs of two multisets and scores wins, ties, and extra elements.
\n\nThis can be used for e.g. RISK-like mechanics.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[typing.Any, int]"}, "icepool.evaluator.CompairEvalautor.__init__": {"fullname": "icepool.evaluator.CompairEvalautor.__init__", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.__init__", "kind": "function", "doc": "Compares sorted pairs of two multisets and scores wins, ties, and extra elements.
\n\nFor example, left=1 would count how many pairs were won by the left\nside, and left=1, right=-1 would give the difference in the number of\npairs won by each side.
\n\nAny score argument \n(initial, tie, left, right, extra_left, extra_right) \nnot provided will be set to a zero value determined from another score \nargument times 0.
\n\nArguments:
\n\n\n- op: Sets the score values based on the given operator and
order.\nAllowed values are '<', '<=', '>', '>=', '==', '!='.\nEach pair that fits the comparator counts as 1.\nIf one side has more elements than the other, the extra\nelements are ignored. \n- order: If descending (default), pairs are made in descending order\nand the higher element wins. If ascending, pairs are made in\nascending order and the lower element wins.
\n- initial: The initial score.
\n- tie: The score for each pair that is a tie.
\n- left: The score for each pair that left wins.
\n- right: The score for each pair that right wins.
\n- extra_left: If left has more elements, each extra element scores\nthis much.
\n- extra_right: If right has more elements, each extra element scores\nthis much.
\n
\n", "signature": "(\top: Optional[Literal['<', '<=', '>', '>=', '==', '!=']] = None,\t*,\torder: icepool.typing.Order = <Order.Descending: -1>,\tinitial=None,\ttie=None,\tleft=None,\tright=None,\textra_left=None,\textra_right=None)"}, "icepool.evaluator.CompairEvalautor.next_state": {"fullname": "icepool.evaluator.CompairEvalautor.next_state", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.next_state", "kind": "function", "doc": "State transition function.
\n\nThis should produce a state given the previous state, an outcome,\nand the number that outcome produced by each generator.
\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\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 generators, the set of outcomes is the\nunion of the outcomes of the invididual generators. All outcomes\nwith nonzero count will be seen. Outcomes with zero count\nmay or may not be seen. If you need to enforce that certain\noutcomes are seen even if they have zero count, see\nalignment(). \n- *counts: One value (usually an
int) for each generator output\nindicating how many of the current outcome were produced.\nAll outcomes with nonzero count are guaranteed to be seen.\nTo guarantee that outcomes are seen even if they have zero\ncount, override alignment(). \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.CompairEvalautor.final_outcome": {"fullname": "icepool.evaluator.CompairEvalautor.final_outcome", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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.CompairEvalautor.order": {"fullname": "icepool.evaluator.CompairEvalautor.order", "modulename": "icepool.evaluator", "qualname": "CompairEvalautor.order", "kind": "function", "doc": "Optional function to determine the order in which next_state() will see outcomes.
\n\nThe default is ascending order. This has better caching behavior with \nmixed standard dice.
\n\nReturns:
\n\n\n \n - Order.Ascending (= 1)\n if
next_state() should always see the outcomes in ascending order. \n - Order.Descending (= -1)\n if
next_state() should always see the outcomes in descending order. \n - Order.Any (= 0)\n if the result of the evaluation is order-independent.
\n
\n
\n", "signature": "(self) -> icepool.typing.Order:", "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", "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.typing.Order:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator": {"fullname": "icepool.evaluator.ExpressionEvaluator", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator", "kind": "class", "doc": "Assigns an expression to be evaluated first to each input of an evaluator.
\n", "bases": "icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, +U_co]"}, "icepool.evaluator.ExpressionEvaluator.__init__": {"fullname": "icepool.evaluator.ExpressionEvaluator.__init__", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.__init__", "kind": "function", "doc": "\n", "signature": "(\t*expressions: icepool.expression.multiset_expression.MultisetExpression[-T_contra],\tevaluator: icepool.evaluator.multiset_evaluator.MultisetEvaluator[-T_contra, +U_co],\ttruth_value: bool | None = None)"}, "icepool.evaluator.ExpressionEvaluator.next_state": {"fullname": "icepool.evaluator.ExpressionEvaluator.next_state", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.next_state", "kind": "function", "doc": "Adjusts the counts, then forwards to inner.
\n", "signature": "(self, state, outcome, *counts):", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.final_outcome": {"fullname": "icepool.evaluator.ExpressionEvaluator.final_outcome", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.final_outcome", "kind": "function", "doc": "Optional function to generate a final 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.ExpressionEvaluator.order": {"fullname": "icepool.evaluator.ExpressionEvaluator.order", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.order", "kind": "function", "doc": "Forwards to inner.
\n", "signature": "(self) -> icepool.typing.Order:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.alignment": {"fullname": "icepool.evaluator.ExpressionEvaluator.alignment", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.alignment", "kind": "function", "doc": "Forwards to inner.
\n", "signature": "(self, *generators) -> Collection[-T_contra]:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.prefix_generators": {"fullname": "icepool.evaluator.ExpressionEvaluator.prefix_generators", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.prefix_generators", "kind": "function", "doc": "An optional sequence of extra generators whose counts will be prepended to *counts.
\n", "signature": "(\tself) -> tuple[icepool.generator.multiset_generator.MultisetGenerator, ...]:", "funcdef": "def"}, "icepool.evaluator.ExpressionEvaluator.validate_arity": {"fullname": "icepool.evaluator.ExpressionEvaluator.validate_arity", "modulename": "icepool.evaluator", "qualname": "ExpressionEvaluator.validate_arity", "kind": "function", "doc": "An optional method to verify the total input arity.
\n\nThis is called after any implicit conversion to generators, but does\nnot include any extra_generators().
\n\nOverriding next_state with a fixed number of counts will make this\ncheck redundant.
\n\nRaises:
\n\n\nValueError if the total input arity is not valid.
\n", "signature": "(self, arity: int) -> None:", "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.
\n\nSpecifically, the outcomes are ints from 1 to sides inclusive,\nwith quantity 1 each.
\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.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", "signature": "(n: int, d: int, /) -> icepool.population.die.Die[bool]:", "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\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. \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.min_outcome": {"fullname": "icepool.function.min_outcome", "modulename": "icepool.function", "qualname": "min_outcome", "kind": "function", "doc": "The minimum outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.function.max_outcome": {"fullname": "icepool.function.max_outcome", "modulename": "icepool.function", "qualname": "max_outcome", "kind": "function", "doc": "The maximum outcome among the dice.
\n", "signature": "(*dice: Union[~T, icepool.population.die.Die[~T]]) -> ~T:", "funcdef": "def"}, "icepool.function.align": {"fullname": "icepool.function.align", "modulename": "icepool.function", "qualname": "align", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: Union[~T, icepool.population.die.Die[~T]]) -> tuple[icepool.population.die.Die[~T], ...]:", "funcdef": "def"}, "icepool.function.align_range": {"fullname": "icepool.function.align_range", "modulename": "icepool.function", "qualname": "align_range", "kind": "function", "doc": "Pads dice with zero quantities so that all have the same set of consecutive int outcomes.
\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 aligned dice.
\n
\n", "signature": "(\t*dice: int | icepool.population.die.Die[int]) -> tuple[icepool.population.die.Die[int], ...]:", "funcdef": "def"}, "icepool.function.commonize_denominator": {"fullname": "icepool.function.commonize_denominator", "modulename": "icepool.function", "qualname": "commonize_denominator", "kind": "function", "doc": "Scale the weights of the dice so that all of them have the same denominator.
\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\nfunctools.reduce().
\n\nArguments:
\n\n\n- func: 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_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: 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\nitertools.accumulate()\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- func: 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": "(\tfunc: 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.iter_cartesian_product": {"fullname": "icepool.function.iter_cartesian_product", "modulename": "icepool.function", "qualname": "iter_cartesian_product", "kind": "function", "doc": "Yields the independent joint distribution of the arguments.
\n\nArguments:
\n\n\n- *args: These may be dice, which will be expanded into their joint\noutcomes. Non-dice are left as-is.
\n
\n\nYields:
\n\n\n Tuples containing one outcome per arg and the joint quantity.
\n
\n", "signature": "(\t*args: icepool.typing.Outcome | icepool.population.base.Population | icepool.expression.multiset_expression.MultisetExpression) -> Iterator[tuple[tuple, int]]:", "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.
\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.\nIt will re-roll the current stage, not the entire series.
\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.\nThe new outcomes may be dice rather than just single outcomes.\nThe special value
icepool.Reroll will reroll that old outcome. \n
\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\nEXPERIMENTAL: If set to None, the result will be as if this\nwere repeated an infinite number of times. In this case, the\nresult will be in simplest form.
- again_depth: Forwarded to the final die constructor.
\n- 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.expression.multiset_expression.MultisetExpression,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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@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\nOr with keyword arguments, in which case the extra arguments are bound:
\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\nArguments:
\n\n\n- again_depth: Forwarded to the final die constructor.
\n- again_end: Forwarded to the final die constructor.
\n
\n", "signature": "(\tfunc: Optional[Callable[..., Union[~T, icepool.population.die.Die[~T], icepool.typing.RerollType, icepool.population.again.AgainExpression]]] = None,\t/,\t*,\tstar: bool | None = None,\trepeat: int | None = 1,\tagain_depth: int = 1,\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- 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- repeat: This will be repeated with the same arguments on the result\nthis 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]]],\tstate,\t/,\t*extra_args,\tstar: bool | None = None,\trepeat: int) -> icepool.population.die.Die[tuple[~T, 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.Order": {"fullname": "icepool.typing.Order", "modulename": "icepool.typing", "qualname": "Order", "kind": "class", "doc": "Can be used to define what order outcomes are seen in by MultisetEvaluators.
\n", "bases": "enum.IntEnum"}, "icepool.typing.Order.Ascending": {"fullname": "icepool.typing.Order.Ascending", "modulename": "icepool.typing", "qualname": "Order.Ascending", "kind": "variable", "doc": "\n", "default_value": "<Order.Ascending: 1>"}, "icepool.typing.Order.Descending": {"fullname": "icepool.typing.Order.Descending", "modulename": "icepool.typing", "qualname": "Order.Descending", "kind": "variable", "doc": "\n", "default_value": "<Order.Descending: -1>"}, "icepool.typing.Order.Any": {"fullname": "icepool.typing.Order.Any", "modulename": "icepool.typing", "qualname": "Order.Any", "kind": "variable", "doc": "\n", "default_value": "<Order.Any: 0>"}, "icepool.typing.Order.merge": {"fullname": "icepool.typing.Order.merge", "modulename": "icepool.typing", "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\nValueError if both Ascending and Descending are in the- arguments.
\n
\n", "signature": "(*orders: icepool.typing.Order) -> icepool.typing.Order:", "funcdef": "def"}, "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.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": 110}, "icepool.d": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 45, "bases": 0, "doc": 99}, "icepool.coin": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 55, "bases": 0, "doc": 44}, "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": 204}, "icepool.Die.__init__": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 168, "bases": 0, "doc": 745}, "icepool.Die.unary_operator": 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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.