Files
Nim/lib/std/setutils.nim
metagn ae9287c4f3 symmetric difference operation for sets via xor (#24286)
closes https://github.com/nim-lang/RFCs/issues/554

Adds a symmetric difference operation to the language bitset type. This
maps to a simple `xor` operation on the backend and thus is likely
faster than the current alternatives, namely `(a - b) + (b - a)` or `a +
b - a * b`. The compiler VM implementation of bitsets already
implemented this via `symdiffSets` but it was never used.

The standalone binary operation is added to `setutils`, named
`symmetricDifference` in line with [hash
sets](https://nim-lang.org/docs/sets.html#symmetricDifference%2CHashSet%5BA%5D%2CHashSet%5BA%5D).
An operator version `-+-` and an in-place version like `toggle` as
described in the RFC are also added, implemented as trivial sugar.
2024-10-19 10:07:00 +02:00

106 lines
3.3 KiB
Nim

#
#
# Nim's Runtime Library
# (c) Copyright 2020 Nim Contributors
#
# See the file "copying.txt", included in this
# distribution, for details about the copyright.
#
## This module adds functionality for the built-in `set` type.
##
## See also
## ========
## * `std/packedsets <packedsets.html>`_
## * `std/sets <sets.html>`_
import std/[typetraits, macros]
#[
type SetElement* = char|byte|bool|int16|uint16|enum|uint8|int8
## The allowed types of a built-in set.
]#
template toSet*(iter: untyped): untyped =
## Returns a built-in set from the elements of the iterable `iter`.
runnableExamples:
assert "helloWorld".toSet == {'W', 'd', 'e', 'h', 'l', 'o', 'r'}
assert toSet([10u16, 20, 30]) == {10u16, 20, 30}
assert [30u8, 100, 10].toSet == {10u8, 30, 100}
assert toSet(@[1321i16, 321, 90]) == {90i16, 321, 1321}
assert toSet([false]) == {false}
assert toSet(0u8..10) == {0u8..10}
var result: set[elementType(iter)]
for x in iter:
incl(result, x)
result
macro enumElementsAsSet(enm: typed): untyped = result = newNimNode(nnkCurly).add(enm.getType[1][1..^1])
# func fullSet*(T: typedesc): set[T] {.inline.} = # xxx would give: Error: ordinal type expected
func fullSet*[T](U: typedesc[T]): set[T] {.inline.} =
## Returns a set containing all elements in `U`.
runnableExamples:
assert bool.fullSet == {true, false}
type A = range[1..3]
assert A.fullSet == {1.A, 2, 3}
assert int8.fullSet.len == 256
when T is Ordinal:
{T.low..T.high}
else: # Hole filled enum
enumElementsAsSet(T)
func complement*[T](s: set[T]): set[T] {.inline.} =
## Returns the set complement of `a`.
runnableExamples:
type Colors = enum
red, green = 3, blue
assert complement({red, blue}) == {green}
assert complement({red, green, blue}).card == 0
assert complement({range[0..10](0), 1, 2, 3}) == {range[0..10](4), 5, 6, 7, 8, 9, 10}
assert complement({'0'..'9'}) == {0.char..255.char} - {'0'..'9'}
fullSet(T) - s
func `[]=`*[T](t: var set[T], key: T, val: bool) {.inline.} =
## Syntax sugar for `if val: t.incl key else: t.excl key`
runnableExamples:
type A = enum
a0, a1, a2, a3
var s = {a0, a3}
s[a0] = false
s[a1] = false
assert s == {a3}
s[a2] = true
s[a3] = true
assert s == {a2, a3}
if val: t.incl key else: t.excl key
when defined(nimHasXorSet):
func symmetricDifference*[T](x, y: set[T]): set[T] {.magic: "XorSet".} =
## This operator computes the symmetric difference of two sets,
## equivalent to but more efficient than `x + y - x * y` or
## `(x - y) + (y - x)`.
runnableExamples:
assert symmetricDifference({1, 2, 3}, {2, 3, 4}) == {1, 4}
else:
func symmetricDifference*[T](x, y: set[T]): set[T] {.inline.} =
result = x + y - (x * y)
proc `-+-`*[T](x, y: set[T]): set[T] {.inline.} =
## Operator alias for `symmetricDifference`.
runnableExamples:
assert {1, 2, 3} -+- {2, 3, 4} == {1, 4}
result = symmetricDifference(x, y)
proc toggle*[T](x: var set[T], y: set[T]) {.inline.} =
## Toggles the existence of each value of `y` in `x`.
## If any element in `y` is also in `x`, it is excluded from `x`;
## otherwise it is included.
## Equivalent to `x = symmetricDifference(x, y)`.
runnableExamples:
var x = {1, 2, 3}
x.toggle({2, 3, 4})
assert x == {1, 4}
x = symmetricDifference(x, y)