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0f0af88a31
urbit/pkg/arvo/lib/std.hoon
yosoyubik 0f0af88a31 naive: wip add ordered-map for points
2021-06-09 13:34:04 +02:00

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!.
=> %a50
~% %a.50 ~ ~
|%
:: Types
::
+$ ship @p
+$ life @ud
+$ rift @ud
+$ pass @
+$ bloq @
+$ step _`@u`1
+$ bite $@(bloq [=bloq =step])
+$ octs [p=@ud q=@]
++ unit |$ [item] $@(~ [~ u=item])
++ list |$ [item] $@(~ [i=item t=(list item)])
++ lest |$ [item] [i=item t=(list item)]
++ tree |$ [node] $@(~ [n=node l=(tree node) r=(tree node)])
++ pair |$ [head tail] [p=head q=tail]
++ map
|$ [key value]
$| (tree (pair key value))
|=(a=(tree (pair)) ?:(=(~ a) & ~(apt by a)))
::
++ set
|$ [item]
$| (tree item)
|=(a=(tree) ?:(=(~ a) & ~(apt in a)))
::
++ jug |$ [key value] (map key (set value))
::
:: Biblical
::
++ ruth |=([a=* b=*] ?>(?=(@ b) b))
::
:: Bits
::
++ dec :: decrement
~/ %dec
|= a=@
~_ leaf+"decrement-underflow"
?< =(0 a)
=+ b=0
|- ^- @
?: =(a +(b)) b
$(b +(b))
::
++ add :: plus
~/ %add
|= [a=@ b=@]
^- @
?: =(0 a) b
$(a (dec a), b +(b))
::
++ sub :: subtract
~/ %sub
|= [a=@ b=@]
~_ leaf+"subtract-underflow"
:: difference
^- @
?: =(0 b) a
$(a (dec a), b (dec b))
::
++ mul :: multiply
~/ %mul
|: [a=`@`1 b=`@`1]
^- @
=+ c=0
|-
?: =(0 a) c
$(a (dec a), c (add b c))
::
++ div :: divide
~/ %div
|: [a=`@`1 b=`@`1]
^- @
~_ leaf+"divide-by-zero"
?< =(0 b)
=+ c=0
|-
?: (lth a b) c
$(a (sub a b), c +(c))
::
++ mod :: modulus
~/ %mod
|: [a=`@`1 b=`@`1]
^- @
?< =(0 b)
(sub a (mul b (div a b)))
::
++ bex :: binary exponent
~/ %bex
|= a=bloq
^- @
?: =(0 a) 1
(mul 2 $(a (dec a)))
::
++ lsh :: left-shift
~/ %lsh
|= [a=bite b=@]
=/ [=bloq =step] ?^(a a [a *step])
(mul b (bex (mul (bex bloq) step)))
::
++ rsh :: right-shift
~/ %rsh
|= [a=bite b=@]
=/ [=bloq =step] ?^(a a [a *step])
(div b (bex (mul (bex bloq) step)))
::
++ con :: binary or
~/ %con
|= [a=@ b=@]
=+ [c=0 d=0]
|- ^- @
?: ?&(=(0 a) =(0 b)) d
%= $
a (rsh 0 a)
b (rsh 0 b)
c +(c)
d %+ add d
%+ lsh [0 c]
?& =(0 (end 0 a))
=(0 (end 0 b))
==
==
::
++ dis :: binary and
~/ %dis
|= [a=@ b=@]
=| [c=@ d=@]
|- ^- @
?: ?|(=(0 a) =(0 b)) d
%= $
a (rsh 0 a)
b (rsh 0 b)
c +(c)
d %+ add d
%+ lsh [0 c]
?| =(0 (end 0 a))
=(0 (end 0 b))
==
==
::
++ mix :: binary xor
~/ %mix
|= [a=@ b=@]
^- @
=+ [c=0 d=0]
|-
?: ?&(=(0 a) =(0 b)) d
%= $
a (rsh 0 a)
b (rsh 0 b)
c +(c)
d (add d (lsh [0 c] =((end 0 a) (end 0 b))))
==
::
++ lth :: less
~/ %lth
|= [a=@ b=@]
^- ?
?& !=(a b)
|-
?| =(0 a)
?& !=(0 b)
$(a (dec a), b (dec b))
== == ==
::
++ lte :: less or equal
~/ %lte
|= [a=@ b=@]
|(=(a b) (lth a b))
::
++ gte :: greater or equal
~/ %gte
|= [a=@ b=@]
^- ?
!(lth a b)
::
++ gth :: greater
~/ %gth
|= [a=@ b=@]
^- ?
!(lte a b)
::
++ swp :: naive rev bloq order
~/ %swp
|= [a=bloq b=@]
(rep a (flop (rip a b)))
::
++ met :: measure
~/ %met
|= [a=bloq b=@]
^- @
=+ c=0
|-
?: =(0 b) c
$(b (rsh a b), c +(c))
::
++ end :: tail
~/ %end
|= [a=bite b=@]
=/ [=bloq =step] ?^(a a [a *step])
(mod b (bex (mul (bex bloq) step)))
::
++ cat :: concatenate
~/ %cat
|= [a=bloq b=@ c=@]
(add (lsh [a (met a b)] c) b)
::
++ cut :: slice
~/ %cut :: TODO: jet
|= [a=bloq [b=step c=step] d=@]
(end [a c] (rsh [a b] d))
::
++ dad :: concatenate fixed
~/ %dad
|= [=bite a=@ b=@]
(add a (lsh bite b))
::
++ can :: assemble
~/ %can
|= [a=bloq b=(list [p=step q=@])]
^- @
?~ b 0
(add (end [a p.i.b] q.i.b) (lsh [a p.i.b] $(b t.b)))
::
++ cad :: assemble specific
~/ %cad
|= [a=bloq b=(list [p=step q=@])]
^- [=step @]
:_ (can a b)
|-
?~ b
0
(add p.i.b $(b t.b))
::
++ rep :: assemble fixed
~/ %rep
|= [a=bite b=(list @)]
=/ [=bloq =step] ?^(a a [a *step])
=| i=@ud
|- ^- @
?~ b 0
%+ add $(i +(i), b t.b)
(lsh [bloq (mul step i)] (end [bloq step] i.b))
::
++ rip :: disassemble
~/ %rip
|= [a=bite b=@]
^- (list @)
?: =(0 b) ~
[(end a b) $(b (rsh a b))]
::
::
:: Lists
::
++ lent :: length
~/ %lent
|= a=(list)
^- @
=+ b=0
|-
?~ a b
$(a t.a, b +(b))
::
++ slag :: suffix
~/ %slag
|* [a=@ b=(list)]
|- ^+ b
?: =(0 a) b
?~ b ~
$(b t.b, a (dec a))
::
++ snag :: index
~/ %snag
|* [a=@ b=(list)]
|- ^+ ?>(?=(^ b) i.b)
?~ b
~_ leaf+"snag-fail"
!!
?: =(0 a) i.b
$(b t.b, a (dec a))
::
++ homo :: homogenize
|* a=(list)
^+ =< $
|@ ++ $ ?:(*? ~ [i=(snag 0 a) t=$])
--
a
::
++ flop :: reverse
~/ %flop
|* a=(list)
=> .(a (homo a))
^+ a
=+ b=`_a`~
|-
?~ a b
$(a t.a, b [i.a b])
::
++ welp :: concatenate
~/ %welp
=| [* *]
|@
++ $
?~ +<-
+<-(. +<+)
+<-(+ $(+<- +<->))
--
::
++ turn :: transform
~/ %turn
|* [a=(list) b=$-(* *)]
=> .(a (homo a))
^- (list _?>(?=(^ a) (b i.a)))
|-
?~ a ~
[i=(b i.a) t=$(a t.a)]
::
++ levy :: all of
~/ %levy
|* [a=(list) b=$-(* ?)]
|- ^- ?
?~ a &
?. (b i.a) |
$(a t.a)
::
++ reap :: replicate
~/ %reap
|* [a=@ b=*]
|- ^- (list _b)
?~ a ~
[b $(a (dec a))]
::
:: Modular arithmetic
::
++ fe :: modulo bloq
|_ a=bloq
++ rol |= [b=bloq c=@ d=@] ^- @ :: roll left
=+ e=(sit d)
=+ f=(bex (sub a b))
=+ g=(mod c f)
(sit (con (lsh [b g] e) (rsh [b (sub f g)] e)))
++ sum |=([b=@ c=@] (sit (add b c))) :: wrapping add
++ sit |=(b=@ (end a b)) :: enforce modulo
--
::
:: Hashes
::
++ muk :: standard murmur3
~% %muk ..muk ~
=+ ~(. fe 5)
|= [syd=@ len=@ key=@]
=. syd (end 5 syd)
=/ pad (sub len (met 3 key))
=/ data (welp (rip 3 key) (reap pad 0))
=/ nblocks (div len 4) :: intentionally off-by-one
=/ h1 syd
=+ [c1=0xcc9e.2d51 c2=0x1b87.3593]
=/ blocks (rip 5 key)
=/ i nblocks
=. h1 =/ hi h1 |-
?: =(0 i) hi
=/ k1 (snag (sub nblocks i) blocks) :: negative array index
=. k1 (sit (mul k1 c1))
=. k1 (rol 0 15 k1)
=. k1 (sit (mul k1 c2))
=. hi (mix hi k1)
=. hi (rol 0 13 hi)
=. hi (sum (sit (mul hi 5)) 0xe654.6b64)
$(i (dec i))
=/ tail (slag (mul 4 nblocks) data)
=/ k1 0
=/ tlen (dis len 3)
=. h1
?+ tlen h1 :: fallthrough switch
%3 =. k1 (mix k1 (lsh [0 16] (snag 2 tail)))
=. k1 (mix k1 (lsh [0 8] (snag 1 tail)))
=. k1 (mix k1 (snag 0 tail))
=. k1 (sit (mul k1 c1))
=. k1 (rol 0 15 k1)
=. k1 (sit (mul k1 c2))
(mix h1 k1)
%2 =. k1 (mix k1 (lsh [0 8] (snag 1 tail)))
=. k1 (mix k1 (snag 0 tail))
=. k1 (sit (mul k1 c1))
=. k1 (rol 0 15 k1)
=. k1 (sit (mul k1 c2))
(mix h1 k1)
%1 =. k1 (mix k1 (snag 0 tail))
=. k1 (sit (mul k1 c1))
=. k1 (rol 0 15 k1)
=. k1 (sit (mul k1 c2))
(mix h1 k1)
==
=. h1 (mix h1 len)
|^ (fmix32 h1)
++ fmix32
|= h=@
=. h (mix h (rsh [0 16] h))
=. h (sit (mul h 0x85eb.ca6b))
=. h (mix h (rsh [0 13] h))
=. h (sit (mul h 0xc2b2.ae35))
=. h (mix h (rsh [0 16] h))
h
--
::
++ mug :: mug with murmur3
~/ %mug
|= a=*
|^ ?@ a (mum 0xcafe.babe 0x7fff a)
=/ b (cat 5 $(a -.a) $(a +.a))
(mum 0xdead.beef 0xfffe b)
::
++ mum
|= [syd=@uxF fal=@F key=@]
=/ wyd (met 3 key)
=| i=@ud
|- ^- @F
?: =(8 i) fal
=/ haz=@F (muk syd wyd key)
=/ ham=@F (mix (rsh [0 31] haz) (end [0 31] haz))
?.(=(0 ham) ham $(i +(i), syd +(syd)))
--
::
++ gor :: mug order
~/ %gor
|= [a=* b=*]
^- ?
=+ [c=(mug a) d=(mug b)]
?: =(c d)
(dor a b)
(lth c d)
::
++ mor :: more mug order
~/ %mor
|= [a=* b=*]
^- ?
=+ [c=(mug (mug a)) d=(mug (mug b))]
?: =(c d)
(dor a b)
(lth c d)
::
++ dor :: tree order
~/ %dor
|= [a=* b=*]
^- ?
?: =(a b) &
?. ?=(@ a)
?: ?=(@ b) |
?: =(-.a -.b)
$(a +.a, b +.b)
$(a -.a, b -.b)
?. ?=(@ b) &
(lth a b)
::
:: Maps
::
++ by
~/ %by
=| a=(tree (pair)) :: (map)
=* node ?>(?=(^ a) n.a)
|@
++ get
~/ %get
|* b=*
=> .(b `_?>(?=(^ a) p.n.a)`b)
|- ^- (unit _?>(?=(^ a) q.n.a))
?~ a
~
?: =(b p.n.a)
`q.n.a
?: (gor b p.n.a)
$(a l.a)
$(a r.a)
::
++ has
~/ %has
|* b=*
!=(~ (get b))
::
++ put
~/ %put
|* [b=* c=*]
|- ^+ a
?~ a
[[b c] ~ ~]
?: =(b p.n.a)
?: =(c q.n.a)
a
a(n [b c])
?: (gor b p.n.a)
=+ d=$(a l.a)
?> ?=(^ d)
?: (mor p.n.a p.n.d)
a(l d)
d(r a(l r.d))
=+ d=$(a r.a)
?> ?=(^ d)
?: (mor p.n.a p.n.d)
a(r d)
d(l a(r l.d))
::
++ del
~/ %del
|* b=*
|- ^+ a
?~ a
~
?. =(b p.n.a)
?: (gor b p.n.a)
a(l $(a l.a))
a(r $(a r.a))
|- ^- [$?(~ _a)]
?~ l.a r.a
?~ r.a l.a
?: (mor p.n.l.a p.n.r.a)
l.a(r $(l.a r.l.a))
r.a(l $(r.a l.r.a))
::
++ apt
=< $
~/ %apt
=| [l=(unit) r=(unit)]
|. ^- ?
?~ a &
?& ?~(l & &((gor p.n.a u.l) !=(p.n.a u.l)))
?~(r & &((gor u.r p.n.a) !=(u.r p.n.a)))
?~ l.a &
&((mor p.n.a p.n.l.a) !=(p.n.a p.n.l.a) $(a l.a, l `p.n.a))
?~ r.a &
&((mor p.n.a p.n.r.a) !=(p.n.a p.n.r.a) $(a r.a, r `p.n.a))
==
--
::
:: Sets
::
++ in
~/ %in
=| a=(tree) :: (set)
|@
++ put
~/ %put
|* b=*
|- ^+ a
?~ a
[b ~ ~]
?: =(b n.a)
a
?: (gor b n.a)
=+ c=$(a l.a)
?> ?=(^ c)
?: (mor n.a n.c)
a(l c)
c(r a(l r.c))
=+ c=$(a r.a)
?> ?=(^ c)
?: (mor n.a n.c)
a(r c)
c(l a(r l.c))
::
++ del
~/ %del
|* b=*
|- ^+ a
?~ a
~
?. =(b n.a)
?: (gor b n.a)
a(l $(a l.a))
a(r $(a r.a))
|- ^- [$?(~ _a)]
?~ l.a r.a
?~ r.a l.a
?: (mor n.l.a n.r.a)
l.a(r $(l.a r.l.a))
r.a(l $(r.a l.r.a))
::
++ apt
=< $
~/ %apt
=| [l=(unit) r=(unit)]
|. ^- ?
?~ a &
?& ?~(l & (gor n.a u.l))
?~(r & (gor u.r n.a))
?~(l.a & ?&((mor n.a n.l.a) $(a l.a, l `n.a)))
?~(r.a & ?&((mor n.a n.r.a) $(a r.a, r `n.a)))
==
--
::
:: Jugs
::
++ ju
=| a=(tree (pair * (tree))) :: (jug)
|@
++ get
|* b=*
=+ c=(~(get by a) b)
?~(c ~ u.c)
::
++ del
|* [b=* c=*]
^+ a
=+ d=(get b)
=+ e=(~(del in d) c)
?~ e
(~(del by a) b)
(~(put by a) b e)
::
++ put
|* [b=* c=*]
^+ a
=+ d=(get b)
(~(put by a) b (~(put in d) c))
--
:: $mk-item: constructor for +ordered-map item type
::
++ mk-item |$ [key val] [key=key val=val]
:: +ordered-map: treap with user-specified horizontal order
::
:: Conceptually smaller items go on the left, so the item with the
:: smallest key can be popped off the head. If $key is `@` and
:: .compare is +lte, then the numerically smallest item is the head.
::
:: WARNING: ordered-map will not work properly if two keys can be
:: unequal under noun equality but equal via the compare gate
::
++ ordered-map
|* [key=mold val=mold]
=> |%
+$ item (mk-item key val)
--
:: +compare: item comparator for horizontal order
::
|= compare=$-([key key] ?)
|%
:: +check-balance: verify horizontal and vertical orderings
::
++ check-balance
=| [l=(unit key) r=(unit key)]
|= a=(tree item)
^- ?
:: empty tree is valid
::
?~ a %.y
:: nonempty trees must maintain several criteria
::
?& :: if .n.a is left of .u.l, assert horizontal comparator
::
?~(l %.y (compare key.n.a u.l))
:: if .n.a is right of .u.r, assert horizontal comparator
::
?~(r %.y (compare u.r key.n.a))
:: if .a is not leftmost element, assert vertical order between
:: .l.a and .n.a and recurse to the left with .n.a as right
:: neighbor
::
?~(l.a %.y &((mor key.n.a key.n.l.a) $(a l.a, l `key.n.a)))
:: if .a is not rightmost element, assert vertical order
:: between .r.a and .n.a and recurse to the right with .n.a as
:: left neighbor
::
?~(r.a %.y &((mor key.n.a key.n.r.a) $(a r.a, r `key.n.a)))
==
:: +put: ordered item insert
::
++ put
|= [a=(tree item) =key =val]
^- (tree item)
:: base case: replace null with single-item tree
::
?~ a [n=[key val] l=~ r=~]
:: base case: overwrite existing .key with new .val
::
?: =(key.n.a key) a(val.n val)
:: if item goes on left, recurse left then rebalance vertical order
::
?: (compare key key.n.a)
=/ l $(a l.a)
?> ?=(^ l)
?: (mor key.n.a key.n.l)
a(l l)
l(r a(l r.l))
:: item goes on right; recurse right then rebalance vertical order
::
=/ r $(a r.a)
?> ?=(^ r)
?: (mor key.n.a key.n.r)
a(r r)
r(l a(r l.r))
:: +peek: produce head (smallest item) or null
::
++ peek
|= a=(tree item)
^- (unit item)
::
?~ a ~
?~ l.a `n.a
$(a l.a)
::
:: +pop: produce .head (smallest item) and .rest or crash if empty
::
++ pop
|= a=(tree item)
^- [head=item rest=(tree item)]
::
?~ a !!
?~ l.a [n.a r.a]
::
=/ l $(a l.a)
:- head.l
:: load .rest.l back into .a and rebalance
::
?: |(?=(~ rest.l) (mor key.n.a key.n.rest.l))
a(l rest.l)
rest.l(r a(r r.rest.l))
:: +del: delete .key from .a if it exists, producing value iff deleted
::
++ del
|= [a=(tree item) =key]
^- [(unit val) (tree item)]
::
?~ a [~ ~]
:: we found .key at the root; delete and rebalance
::
?: =(key key.n.a)
[`val.n.a (nip a)]
:: recurse left or right to find .key
::
?: (compare key key.n.a)
=+ [found lef]=$(a l.a)
[found a(l lef)]
=+ [found rig]=$(a r.a)
[found a(r rig)]
:: +nip: remove root; for internal use
::
++ nip
|= a=(tree item)
^- (tree item)
::
?> ?=(^ a)
:: delete .n.a; merge and balance .l.a and .r.a
::
|- ^- (tree item)
?~ l.a r.a
?~ r.a l.a
?: (mor key.n.l.a key.n.r.a)
l.a(r $(l.a r.l.a))
r.a(l $(r.a l.r.a))
:: +traverse: stateful partial inorder traversal
::
:: Mutates .state on each run of .f. Starts at .start key, or if
:: .start is ~, starts at the head (item with smallest key). Stops
:: when .f produces .stop=%.y. Traverses from smaller to larger
:: keys. Each run of .f can replace an item's value or delete the
:: item.
::
++ traverse
|* state=mold
|= $: a=(tree item)
=state
f=$-([state item] [(unit val) ? state])
==
^+ [state a]
:: acc: accumulator
::
:: .stop: set to %.y by .f when done traversing
:: .state: threaded through each run of .f and produced by +abet
::
=/ acc [stop=`?`%.n state=state]
=< abet =< main
|%
++ this .
++ abet [state.acc a]
:: +main: main recursive loop; performs a partial inorder traversal
::
++ main
^+ this
:: stop if empty or we've been told to stop
::
?: =(~ a) this
?: stop.acc this
:: inorder traversal: left -> node -> right, until .f sets .stop
::
=. this left
?: stop.acc this
=^ del this node
=? this !stop.acc right
=? a del (nip a)
this
:: +node: run .f on .n.a, updating .a, .state, and .stop
::
++ node
^+ [del=*? this]
:: run .f on node, updating .stop.acc and .state.acc
::
?> ?=(^ a)
=^ res acc (f state.acc n.a)
?~ res
[del=& this]
[del=| this(val.n.a u.res)]
:: +left: recurse on left subtree, copying mutant back into .l.a
::
++ left
^+ this
?~ a this
=/ lef main(a l.a)
lef(a a(l a.lef))
:: +right: recurse on right subtree, copying mutant back into .r.a
::
++ right
^+ this
?~ a this
=/ rig main(a r.a)
rig(a a(r a.rig))
--
:: +tap: convert to list, smallest to largest
::
++ tap
|= a=(tree item)
^- (list item)
::
=| b=(list item)
|- ^+ b
?~ a b
::
$(a l.a, b [n.a $(a r.a)])
:: +bap: convert to list, largest to smallest
::
++ bap
|= a=(tree item)
^- (list item)
::
=| b=(list item)
|- ^+ b
?~ a b
::
$(a r.a, b [n.a $(a l.a)])
:: +gas: put a list of items
::
++ gas
|= [a=(tree item) b=(list item)]
^- (tree item)
::
?~ b a
$(b t.b, a (put a i.b))
:: +uni: unify two ordered maps
::
:: .b takes precedence over .a if keys overlap.
::
++ uni
|= [a=(tree item) b=(tree item)]
^- (tree item)
::
?~ b a
?~ a b
?: =(key.n.a key.n.b)
::
[n=n.b l=$(a l.a, b l.b) r=$(a r.a, b r.b)]
::
?: (mor key.n.a key.n.b)
::
?: (compare key.n.b key.n.a)
$(l.a $(a l.a, r.b ~), b r.b)
$(r.a $(a r.a, l.b ~), b l.b)
::
?: (compare key.n.a key.n.b)
$(l.b $(b l.b, r.a ~), a r.a)
$(r.b $(b r.b, l.a ~), a l.a)
::
:: +get: get val at key or return ~
::
++ get
|= [a=(tree item) b=key]
^- (unit val)
?~ a ~
?: =(b key.n.a)
`val.n.a
?: (compare b key.n.a)
$(a l.a)
$(a r.a)
::
:: +subset: take a range excluding start and/or end and all elements
:: outside the range
::
++ subset
|= $: tre=(tree item)
start=(unit key)
end=(unit key)
==
^- (tree item)
|^
?: ?&(?=(~ start) ?=(~ end))
tre
?~ start
(del-span tre %end end)
?~ end
(del-span tre %start start)
?> (compare u.start u.end)
=. tre (del-span tre %start start)
(del-span tre %end end)
::
++ del-span
|= [a=(tree item) b=?(%start %end) c=(unit key)]
^- (tree item)
?~ a a
?~ c a
?- b
%start
:: found key
?: =(key.n.a u.c)
(nip a(l ~))
:: traverse to find key
?: (compare key.n.a u.c)
:: found key to the left of start
$(a (nip a(l ~)))
:: found key to the right of start
a(l $(a l.a))
::
%end
:: found key
?: =(u.c key.n.a)
(nip a(r ~))
:: traverse to find key
?: (compare key.n.a u.c)
:: found key to the left of end
a(r $(a r.a))
:: found key to the right of end
$(a (nip a(r ~)))
==
--
--
::
+$ mold
:: normalizing gate
::
:: a gate that accepts any noun, and validates its shape, producing the
:: input if it fits or a default value if it doesn't.
::
:: examples: * @ud ,[p=time q=?(%a %b)]
$~(* $-(* *))
::
++ aor
~/ %aor
|= [a=* b=*]
^- ?
?: =(a b) &
?. ?=(@ a)
?: ?=(@ b) |
?: =(-.a -.b)
$(a +.a, b +.b)
$(a -.a, b -.b)
?. ?=(@ b) &
|-
=+ [c=(end 3 a) d=(end 3 b)]
?: =(c d)
$(a (rsh 3 a), b (rsh 3 b))
(lth c d)
--
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