函数式任意排序
这是解决问题的另一种方法。假设我们有一些 fruits 和一个任意的 order 我们希望将它们排序 -
const fruits =
// 0 1 2 3 4
[ "apple", "banana", "cherry", "orange", "peach" ]
const order =
[ 1, 3, 2, 0, 4 ]
我们希望能够写出这样的东西-
fruits.sort(sortByIndex(fruits, order))
console.log(fruits)
// [ "banana", "orange", "cherry", "apple", "peach" ]
// 1 3 2 0 4
我们希望有一个 Comparison 模块来处理我们的排序代码 -
const { empty, map } =
Comparison
const sortByIndex = (values = [], indexes = []) =>
map(empty, x => indexes.indexOf(values.indexOf(x)))
现在我们只需要实现Comparison -
const Comparison =
{ empty: (a, b) =>
a < b ? -1
: a > b ? 1
: 0
, map: (m, f) =>
(a, b) => m(f(a), f(b))
}
const { empty, map } =
Comparison
const sortByIndex = (values = [], indexes = []) =>
map(empty, x => indexes.indexOf(values.indexOf(x)))
const fruits =
[ "apple", "banana", "cherry", "orange", "peach" ]
// 0 1 2 3 4
const order =
[ 1, 3, 2, 0, 4 ]
console.log(fruits)
// [ "apple", "banana", "cherry", "orange", "peach" ]
console.log(fruits.sort(sortByIndex(fruits, order)))
// [ "banana", "orange", "cherry", "apple", "peach" ]
为什么是模块?
实现Comparison 模块意味着我们有一个整洁的地方来存储我们所有的比较逻辑。我们现在可以轻松实现其他有用的功能,例如 reverse 和 concat -
const Comparison =
{ // ...
, concat: (m, n) =>
(a, b) => Ordered.concat(m(a, b), n(a, b))
, reverse: (m) =>
(a, b) => m(b, a)
}
const Ordered =
{ empty: 0
, concat: (a, b) =>
a === 0 ? b : a
}
现在我们可以轻松地为复杂的排序逻辑建模 -
const sortByName =
map(empty, x => x.name)
const sortByAge =
map(empty, x => x.age)
const data =
[ { name: 'Alicia', age: 10 }
, { name: 'Alice', age: 15 }
, { name: 'Alice', age: 10 }
, { name: 'Alice', age: 16 }
]
按name排序,然后按age排序-
data.sort(concat(sortByName, sortByAge))
// [ { name: 'Alice', age: 10 }
// , { name: 'Alice', age: 15 }
// , { name: 'Alice', age: 16 }
// , { name: 'Alicia', age: 10 }
// ]
按age排序,然后按name排序-
data.sort(concat(sortByAge, sortByName))
// [ { name: 'Alice', age: 10 }
// , { name: 'Alicia', age: 10 }
// , { name: 'Alice', age: 15 }
// , { name: 'Alice', age: 16 }
// ]
轻松reverse 任何分拣机。这里我们按name排序,然后按age反向排序-
data.sort(concat(sortByName, reverse(sortByAge)))
// [ { name: 'Alice', age: 16 }
// , { name: 'Alice', age: 15 }
// , { name: 'Alice', age: 10 }
// , { name: 'Alicia', age: 10 }
// ]
功能原则
我们的Comparison 模块既灵活又可靠。这允许我们以类似公式的方式编写分类器 -
// this...
concat(reverse(sortByName), reverse(sortByAge))
// is the same as...
reverse(concat(sortByName, sortByAge))
与concat 表达式类似 -
// this...
concat(sortByYear, concat(sortByMonth, sortByDay))
// is the same as...
concat(concat(sortByYear, sortByMonth), sortByDay)
// is the same as...
nsort(sortByYear, sortByMonth, sortByDay)
与nsort一起发疯
现在假设我们要按任意数量的因素进行排序。例如,对日期对象进行排序需要三个比较:year、month 和 day -
const { empty, map, reverse, nsort } =
Comparison
const data =
[ { year: 2020, month: 4, day: 5 }
, { year: 2018, month: 1, day: 20 }
, { year: 2019, month: 3, day: 14 }
]
const sortByDate =
nsort
( map(empty, x => x.year) // primary: sort by year
, map(empty, x => x.month) // secondary: sort by month
, map(empty, x => x.day) // tertiary: sort by day
)
现在我们可以按year、month、day 排序-
data.sort(sortByDate)
// [ { year: 2019, month: 11, day: 14 }
// , { year: 2020, month: 4, day: 3 }
// , { year: 2020, month: 4, day: 5 }
// ]
同样可以通过year、month、day 轻松反向排序 -
data.sort(reverse(sortByDate))
// [ { year: 2020, month: 4, day: 5 }
// , { year: 2020, month: 4, day: 3 }
// , { year: 2019, month: 11, day: 14 }
// ]
得益于功能原理,实现 N 排序轻而易举。我们的concat 和empty 会尽心尽力-
const Comparison =
{ // ...
, nsort: (...m) =>
m.reduce(Comparison.concat, Comparison.empty)
}
展开下面的 sn-p 以查看此代码的运行情况 -
const Comparison =
{ empty: (a, b) =>
a < b ? -1
: a > b ? 1
: 0
, map: (m, f) =>
(a, b) => m(f(a), f(b))
, concat: (m, n) =>
(a, b) => Ordered.concat(m(a, b), n(a, b))
, reverse: (m) =>
(a, b) => m(b, a)
, nsort: (...m) =>
m.reduce(Comparison.concat, Comparison.empty)
}
const Ordered =
{ empty: 0
, concat: (a, b) =>
a === 0 ? b : a
}
const { empty, map, concat, reverse, nsort } =
Comparison
const sortByDate =
nsort
( map(empty, x => x.year) // primary
, map(empty, x => x.month) // secondary
, map(empty, x => x.day) // tertiary
)
const data =
[ { year: 2020, month: 4, day: 5 }
, { year: 2019, month: 11, day: 14 }
, { year: 2020, month: 4, day: 3 }
]
console.log(data.sort(reverse(sortByDate)))
// [ { year: 2020, month: 4, day: 5 }
// , { year: 2020, month: 4, day: 3 }
// , { year: 2019, month: 11, day: 14 }
// ]
JavaScript 模块
Comparison 和Ordered 以上被定义为简单对象。 JavaScript 是一种非常灵活的语言,import/export 语法明确可用于模块化您的程序。以这种方式编写模块可以让我们清楚地了解事情的发展方向,并为我们提供足够的空间来发展我们的代码 -
// Comparison.js
import { lt, gt, eq, concat:_concat } from "./Ordered"
const asc = (a, b) =>
(console.log(a, b), a < b) ? lt
: a > b ? gt
: eq
const empty =
asc
const map = (m, f) =>
(a, b) => m(f(a), f(b))
const concat = (m, n) =>
(a, b) => _concat(m(a, b), n(a, b))
const reverse = (m) =>
(a, b) => m(b, a)
const desc =
reverse(asc)
export { asc, concat, desc, empty, map, reverse }
// Ordered.js
const lt =
-1
const gt =
1
const eq =
0
const empty =
eq
const concat = (a, b) =>
a === eq ? b : a
export { concat, empty, eq, gt, lt }