I wanted to sort a sequence of maps using a spec consisting of an ordered 
map of key and order, like this:

(array-map :name 1 :age -1)

I couldn't find a ready-made solution, so I rolled my own. I ended up with 
three functions with a total of 10 lines of code. Two of them are generic, 
and one is specific to my problem.

First a comparator-generator, that is fed a collection of comparators:

(defn compare-many [comps]
  (fn [xs ys]
    (if-let [result (first (drop-while zero? (map (fn [f x y] (. f (compare 
x y))) comps xs ys)))]
      result
      0)))

It uses the same trick as sort-by does, namely the fact that all functions 
implement Comparator. This means that I can pass in a predicate instead of 
a comparator, if it makes sense:

user=> ((compare-many [> compare]) [4 "beta"] [4 "alpha"])
1
user=> ((compare-many [> compare]) [4 "beta"] [3 "gamma"])
-1

Next, a convenience function that takes a collection of keyfns, 
a collection of comparators (or predicates), and a collection to sort, 
passing it to sort-by:

(defn sort-by-many [keyfns comps coll] (sort-by (apply juxt keyfns) 
(compare-many comps) coll))

It's called like this:

user=> (sort-by-many [:a :b] [> compare] [{:a 4 :b "beta"} {:a 4 :b 
"alpha"} {:a 3 :b "gamma"} {:a 5 :b "delta"}])
({:a 5, :b "delta"}
 {:a 4, :b "alpha"}
 {:a 4, :b "beta"}
 {:a 3, :b "gamma"})

And finally a function specific to my problem domain. It takes a sort order 
map and the collection to sort (note that I use (comp - compare) to get the 
inverse sort order):

(defn sort-by-map [m coll]
  (sort-by-many (keys m)
               (map #(case % 1 compare -1 (comp - compare) (throw 
(Exception. "1 or -1"))) (vals m))
               coll))

It's called like this:

user=> (sort-by-map (array-map :name 1 :age -1)
         [{:name "zack" :age 25} {:name "amanda" :age 19} {:name "zack" 
:age 20} {:name "zack" :age 21}])
({:age 19, :name "amanda"}
 {:age 25, :name "zack"}
 {:age 21, :name "zack"}
 {:age 20, :name "zack"})

The collection doesn't have to contain maps:

user=> (sort-by-map (array-map first 1 second -1) [["zack" 25] ["amanda" 
19] ["zack" 20] ["zack" 21]])
(["amanda" 19]
 ["zack" 25]
 ["zack" 21]
 ["zack" 20])

Is there anything that I've missed? Improvements?

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