view Paper/src/bt_impl/find.agda.replaced @ 5:339fb67b4375

INIT rbt.agda
author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 07 Nov 2021 00:51:16 +0900
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find : {n m : Level} {A : Set n} {t : Set m} !$\rightarrow$! (env : Env A )
           !$\rightarrow$! (next : (env : Env A ) !$\rightarrow$! t )
           !$\rightarrow$! (exit : (env : Env A ) !$\rightarrow$! t ) !$\rightarrow$! t
find env next exit = find-c (vart env) env next exit where
    find-c : {n m : Level} {A : Set n} {t : Set m} !$\rightarrow$! (tree : bt A) !$\rightarrow$! (env : Env A )
           !$\rightarrow$! (next : (env : Env A ) !$\rightarrow$! t )
           !$\rightarrow$! (exit : (env : Env A ) !$\rightarrow$! t ) !$\rightarrow$! t
    find-c leaf env next exit = exit env
    find-c n@(node key-t value ltree rtree) env next exit with <-cmp (varn env) key-t
    ... | tri< a !$\neg$!b !$\neg$!c = find-c ltree record env {vart = ltree ; varl = (n !$\text{::}$! (varl env))} next exit
    ... | tri!$\approx$! !$\neg$!a b !$\neg$!c = exit record env {vart = n}
    ... | tri> !$\neg$!a !$\neg$!b c = find-c rtree record env {vart = rtree ; varl = (n !$\text{::}$! (varl env))} next exit