我如何在Clojure中最好地迭代下面的对象?
{
:item-set-1 ["a" "b" "c"]
:item-set-2 ["d" "e" "f"]
}
我想尝试识别对象的所有子集并产生如下结果:
{
[:item-set-1 ["a"]]
[:item-set-1 ["a" "b"]]
[:item-set-1 ["a" "b" "c"]]
[:item-set-1 ["b"]]
[:item-set-1 ["b" "c"]]
[:item-set-1 ["c"]]
[:item-set-2 ["d"]]
[:item-set-2 ["d" "e"]]
[:item-set-2 ["d" "e" "f"]]
[:item-set-1 ["e"]]
[:item-set-1 ["e" "f"]]
[:item-set-1 ["f"]]
[:item-set-1 ["a"] [:item-set-2 ["d"]]]
[:item-set-1 ["b"] [:item-set-2 ["e"]]]
[:item-set-1 ["c"] [:item-set-2 ["f"]]]
[:item-set-1 ["a" "b"] [:item-set-2 ["d" "e"]]]
[:item-set-1 ["a" "b"] [:item-set-2 ["e" "f"]]]
[:item-set-1 ["a" "b"] [:item-set-2 ["d" "f"]]]
[:item-set-1 ["b" "c"] [:item-set-2 ["d" "e"]]]
[:item-set-1 ["b" "c"] [:item-set-2 ["e" "f"]]]
[:item-set-1 ["b" "c"] [:item-set-2 ["d" "f"]]]
[:item-set-1 ["a" "c"] [:item-set-2 ["d" "e"]]]
[:item-set-1 ["a" "c"] [:item-set-2 ["e" "f"]]]
[:item-set-1 ["a" "c"] [:item-set-2 ["d" "f"]]]
[:item-set-1 ["a" "b" "c"] [:item-set-2 ["d" "e" "f"]]]
}
我相信我可以使用clojure.math.combinatorics
来识别每个键中的子集,但不能识别整个对象。
更新: 我尝试使用以下代码生成子集:
(defn generate-freq-item-set []
(let [result [{:data (generate-string {:item-set-1 ["a" "b" "c"] :item-set-2 ["d" "e" "f"]})}]
items (as-> () items
(->> (for [row result]
(for [data (parse-string (:data row))]
(for [subset (combo/subsets (second data))]
(conj items {(first data) subset}))))))
frequencies (sort-by last >
(->> (apply concat (apply concat (apply concat items)))
(frequencies)))]
(prn frequencies)))
但是这会产生以下输出,这不完全是我所追求的:
([{"item-set-1" ()} 1]
[{"item-set-2" ("d")} 1]
[{"item-set-1" ("a" "b" "c")} 1]
[{"item-set-2" ("d" "e")} 1]
[{"item-set-1" ("b" "c")} 1]
[{"item-set-2" ("d" "e" "f")} 1]
[{"item-set-2" ()} 1]
[{"item-set-1" ("a" "b")} 1]
[{"item-set-1" ("c")} 1]
[{"item-set-2" ("e")} 1]
[{"item-set-2" ("d" "f")} 1]
[{"item-set-2" ("f")} 1]
[{"item-set-2" ("e" "f")} 1]
[{"item-set-1" ("b")} 1]
[{"item-set-1" ("a")} 1]
[{"item-set-1" ("a" "c")} 1])
答案 0 :(得分:2)
我现在没有安装clojure,但在本质上,你需要这样做: 1)将子集函数映射到每个项集。您将最终得到两个包含所有子集的集合。 2)将笛卡尔积用于这两组子集。而已。笛卡尔积取两组并输出所有可能的组合。
一旦我下班并安装了clojure,我会回复你的。
修改
终于回到了家,这是代码:
(require '[clojure.math.combinatorics :as combo])
(def inputdata {:item-set-1 ["a" "b" "c"] :item-set-2 ["d" "e" "f"]})
(defn subsets-without-empty [set] (filter not-empty (combo/subsets set)))
(defn to-subset-maps [kv]
(map (fn [v] {(key kv) v})
(subsets-without-empty (val kv))))
(defn create-subsets [dictOfSets] (map to-subset-maps dictOfSets))
(apply combo/cartesian-product (create-subsets inputdata))
subsets-without-empty
可以为您提供所有不包括空子集的子集,如您所建议的那样
to-subset-maps
将{:a [1 2]}
转换为[{:a [1]} {:a [2]} {:a [1 2]}]
,即创建子集并将原始密钥传播到每个子集(输出格式所需)
create-subsets
只对输入地图的每个成员应用to-subset-maps
。
最后,我们将结果集中在一个集合中。所以我们只需要打开它并传递给cartesian-product
以获得所有组合,这就是带有apply
的最后一行的位置。现在,此解决方案适用于任意数量的维度(或者输入地图)。
答案 1 :(得分:2)
我按如下方式处理此问题。
首先,我将您拥有的初始地图拼接成一个列表,在元数据中保存有关该项目所属集合的信息。
由于无法将元数据附加到原始字符串,因此我们需要创建一个包装类型:
(defrecord ItemSetElement [x])
(defn make-item-set-element [x]
(->ItemSetElement x))
(defn unwrap-item-set-element [elem]
(:x elem))
然后转到将初始地图转换为序列的函数,保存所需的信息:
(defn wrap-element-and-save-owner [owner s]
(with-meta (make-item-set-element s) {::owner owner}))
(defn prepare-data [data]
(mapcat
(fn [[key ss]]
(map (partial wrap-element-and-save-owner key) ss))
data))
> (prepare-data {:item-set-1 ["a" "b"], :item-set-2 ["c"]})
({:x "a"} {:x "b"} {:x "c"})
如您所见,prepare-data
的结果只是一个序列,但序列的每个元素都有关于"所有者"的信息。在其meta中设置,例如:
> (meta (first (prepare-data {:item-set-1 ["a" "b"], :item-set-2 ["c"]})))
{:user/owner :item-set-1}
有序列,我们可以使用clojure.math.combinatorics/subsets
生成其所有子集:
> (require '[clojure.math.combinatorics :as combo])
nil
> (combo/subsets (prepare-data {:item-set-1 ["a" "b"], :item-set-2 ["c"]}))
(()
({:x "a"})
({:x "b"})
({:x "c"})
({:x "a"} {:x "b"})
({:x "a"} {:x "c"})
({:x "b"} {:x "c"})
({:x "a"} {:x "b"} {:x "c"}))
子集的每个元素仍然包含有关其"所有者"的信息,因此我们可以轻松地将其转换为类似初始的结构。这是一个功能:
(defn reconstruct-item-sets [subset]
(->> subset
(group-by #(::owner (meta %)))
(map (fn [[key elements]]
[key (map unwrap-item-set-element elements)]))
(into {})))
总结这里包含功能的所有代码,将所有内容粘合在一起:
(require '[clojure.math.combinatorics :as combo])
(defrecord ItemSetElement [x])
(defn make-item-set-element [x]
(->ItemSetElement x))
(defn unwrap-item-set-element [elem]
(:x elem))
(defn wrap-element-and-save-owner [owner s]
(with-meta (make-item-set-element s) {::owner owner}))
(defn prepare-data [data]
(mapcat
(fn [[key ss]]
(map (partial wrap-element-and-save-owner key) ss))
data))
(defn reconstruct-item-sets [subset]
(->> subset
(group-by #(::owner (meta %)))
(map (fn [[key elements]]
[key (map unwrap-item-set-element elements)]))
(into {})))
(defn my-subsets [data]
(->> data
prepare-data
combo/subsets
(map reconstruct-item-sets)))
(def data {:item-set-1 ["a" "b"]
:item-set-2 ["c" "d" "e"]})
> (my-subsets data)
({}
{:item-set-1 ("a")}
{:item-set-1 ("b")}
{:item-set-2 ("c")}
{:item-set-2 ("d")}
{:item-set-2 ("e")}
{:item-set-1 ("a" "b")}
{:item-set-1 ("a"), :item-set-2 ("c")}
{:item-set-1 ("a"), :item-set-2 ("d")}
{:item-set-1 ("a"), :item-set-2 ("e")}
{:item-set-1 ("b"), :item-set-2 ("c")}
{:item-set-1 ("b"), :item-set-2 ("d")}
{:item-set-1 ("b"), :item-set-2 ("e")}
{:item-set-2 ("c" "d")}
{:item-set-2 ("c" "e")}
{:item-set-2 ("d" "e")}
{:item-set-1 ("a" "b"), :item-set-2 ("c")}
{:item-set-1 ("a" "b"), :item-set-2 ("d")}
{:item-set-1 ("a" "b"), :item-set-2 ("e")}
{:item-set-1 ("a"), :item-set-2 ("c" "d")}
{:item-set-1 ("a"), :item-set-2 ("c" "e")}
{:item-set-1 ("a"), :item-set-2 ("d" "e")}
{:item-set-1 ("b"), :item-set-2 ("c" "d")}
{:item-set-1 ("b"), :item-set-2 ("c" "e")}
{:item-set-1 ("b"), :item-set-2 ("d" "e")}
{:item-set-2 ("c" "d" "e")}
{:item-set-1 ("a" "b"), :item-set-2 ("c" "d")}
{:item-set-1 ("a" "b"), :item-set-2 ("c" "e")}
{:item-set-1 ("a" "b"), :item-set-2 ("d" "e")}
{:item-set-1 ("a"), :item-set-2 ("c" "d" "e")}
{:item-set-1 ("b"), :item-set-2 ("c" "d" "e")}
{:item-set-1 ("a" "b"), :item-set-2 ("c" "d" "e")})