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	Update maxtriangle example, extend map function, and
add extremes functions (max, min, order-max, order-min, extreme)
This commit is contained in:
		| @@ -1,36 +1,18 @@ | ||||
| # Find the maximum path from the top (root) | ||||
| # of the triangle to the leaves of the triangle. | ||||
|    | ||||
| (defn vmap2 [f m1 m2]  | ||||
|  (def len (length m1)) | ||||
|  (def arr @[]) | ||||
|  (for [i 0 len] (array-push arr (f (get m1 i) (get m2 i)))) | ||||
|  arr) | ||||
|  | ||||
| (defn reduce [s f c] | ||||
|  (var res s) | ||||
|  (for [i 0 (length c)] | ||||
|   (:= res (f res (get c i)))) | ||||
|  res) | ||||
|  | ||||
| (defn max1 [l r] (if (< l r) r l)) | ||||
|      | ||||
| (defn myfold [xs ys] | ||||
|  (def xs1 (tuple-prepend xs 0)) | ||||
|  (def xs2 (tuple-append xs 0)) | ||||
|  (def m1 (vmap2 + xs1 ys)) | ||||
|  (def m2 (vmap2 + xs2 ys)) | ||||
|  (vmap2 max1 m1 m2)) | ||||
|  | ||||
| (defn max [a] | ||||
|  (var m (get a 0)) | ||||
|  (for [i 0 (length a)] | ||||
|   (if (< m (get a i)) | ||||
|    (:= m (get a i)))) | ||||
|  m) | ||||
|  (def m1 (map + xs1 ys)) | ||||
|  (def m2 (map + xs2 ys)) | ||||
|  (map max m1 m2)) | ||||
|  | ||||
| (defn maxpath [t] | ||||
|  (max (reduce () myfold t))) | ||||
|  (extreme > (reduce myfold () t))) | ||||
|  | ||||
| # Test it | ||||
| # Maximum path is 3 -> 10 -> 3 -> 9 for a total of 25 | ||||
|  | ||||
| (def triangle @[ | ||||
|  @[3] | ||||
|   | ||||
| @@ -304,6 +304,23 @@ evaluates to true." | ||||
|  [f] | ||||
|  (fn [x] (not (f x)))) | ||||
|  | ||||
| (defn extreme | ||||
|  "Returns the most extreme value in args based on the orderer order. | ||||
| Returns nil if args is empty." | ||||
|  [order args] | ||||
|  (def len (length args)) | ||||
|  (when (pos? len) | ||||
|   (var ret (get args 0)) | ||||
|   (for [i 0 len] | ||||
|    (def v (get args i)) | ||||
|    (if (order v ret) (:= ret v))) | ||||
|   ret)) | ||||
|  | ||||
| (defn max [& args] (extreme > args)) | ||||
| (defn min [& args] (extreme < args)) | ||||
| (defn max-order [& args] (extreme order> args)) | ||||
| (defn min-order [& args] (extreme order< args)) | ||||
|  | ||||
| ### | ||||
| ### | ||||
| ### Indexed Combinators | ||||
| @@ -366,13 +383,25 @@ an indexed type (array, tuple) with a function to produce a value." | ||||
| (defn map | ||||
|  "Map a function over every element in an array or tuple and return | ||||
| the same type as the input sequence." | ||||
|  [f ind t] | ||||
|  [f & inds] | ||||
|  (def res @[]) | ||||
|  (for [i 0 (length ind)] | ||||
|   (array-push res (f (get ind i)))) | ||||
|  (if (= :tuple (type (or t ind))) | ||||
|   (apply1 tuple res) | ||||
|   res)) | ||||
|  (def ninds (length inds)) | ||||
|  (if (= 0 ninds) (error "expected at least 1 indexed collection.")) | ||||
|  (var limit (length (get inds 0))) | ||||
|  (for [i 0 ninds] | ||||
|   (def l (length (get inds i))) | ||||
|   (if (< l limit) (:= limit l))) | ||||
|  (def [i1 i2 i3 i4] inds) | ||||
|  (switch ninds | ||||
|   1 (for [i 0 limit] (array-push res (f (get i1 i)))) | ||||
|   2 (for [i 0 limit] (array-push res (f (get i1 i) (get i2 i)))) | ||||
|   3 (for [i 0 limit] (array-push res (f (get i1 i) (get i2 i) (get i3 i)))) | ||||
|   4 (for [i 0 limit] (array-push res (f (get i1 i) (get i2 i) (get i3 i) (get i4 i)))) | ||||
|   (for [i 0 limit]  | ||||
|    (def args @[]) | ||||
|    (for [j 0 ninds] (array-push args (get (get inds j) i))) | ||||
|    (array-push res (apply1 f args)))) | ||||
|  res) | ||||
|  | ||||
| (defn mapcat | ||||
|  "Map a function over every element in an array or tuple and  | ||||
|   | ||||
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