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master.ao
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@int l
@lit l
@cmd lw^z$
@cmdseq {%block}
@block l
@ratio {%p}{:ratio}
@decimal {%p}{:decimal}
@p rwrzwll
@.mul {%p}rr*l
@* {%.mul}
@.add {%p}rr+l
@+ {%.add}
@.neg r-l
@.sub {%.neg}{%.add}
@- {%.sub}
@put wrzl
@drop r%
@drop2 {%drop}{%drop}
@handStackSwap w
@hsw {%handStackSwap}
@discard2 {%hsw}{%drop2}{%hsw}
@intro1 vvrwlcl
@inL rVl
@inR rVVRWLCl
@b-a.compareStreams {%drop2}{%discard2}{%intro1}{%inL}{%inR}
@-ab.compareStreams {%drop2}{%discard2}{%intro1}{%inL}
@.prebind_l r[l]ml
@.rw rw
@.wl wl
@w rrwll
@pw {%p}{%w}
@distrib {%p}rrDl
@.eitherBind {%pw}{%distrib}r[rw%vrw'mc]?VRW[r%vrw'mc]?WLCl
@eitherBind {%.prebind_l}{%.rw}{%.prebind_l}{%.wl}{%.eitherBind}
@merge rMl
@inline rvr$c
@if {%eitherBind}{%merge}{%inline}
@-a.compareStreams {%put}[{%b-a.compareStreams}]{%block}[{%-ab.compareStreams}]{%block}{%if}
@inner..abs #G[-vrw%c]?VRW[%]?WLCM
@.abs r{%inner..abs}l
@onElem.addend.s rw'mvrwrwz'mwlVc
@onFini.addend.s r%vr$c
@step.addend.s lwvvrwlcw$wD[{%onElem.addend.s}]?VRW[{%onFini.addend.s}]?WLCMc
@.firstfixfirst.v2 '[^'mw^'zmwvr$c]^'mwm
@.firstfixfirst {%.firstfixfirst.v2}
@.addend.s [{%step.addend.s}]{%.firstfixfirst}w'mw'm
@.app1 vvr$c
@.app1e vvrrz$lc
@.apply {%p}rr$l
@.apply1 r{%.app1e}l
@swap rwrwzwlwl
@.applyd {%swap}{%.apply}
@.assertFirstUnit vrvrwlcrwlc
@.assertUnit vvrwlcc
@bind {%pw}rr'[l]wmml
@.bapply [{%.apply}]{%block}{%bind}
@.bfirst r'[$]wml
@dup r^zlwl
@swapd {%.rw}{%swap}{%.wl}
@tuck {%dup}{%swapd}
@.bi {%tuck}{%.apply}{%.rw}{%.apply}{%.wl}
@.bidup {%dup}{%.rw}{%.apply}{%swap}{%.wl}{%.apply}{%swap}
@.bind {%pw}rr'ml
@.swap vrwlc
@compose {%pw}rrml
@composel {%swap}{%compose}
@.bind2nd [{%.swap}]{%block}{%composel}{%.bind}
@.bleft r'[v]m[?c]wml
@take {%hsw}{%put}{%hsw}
@x rrwzlwl
@.first {%take}{%x}{%put}{%.apply}{%p}
@.second {%take}{%pw}{%put}{%.first}{%pw}
@.both {%take}{%.first}{%put}{%.second}
@.bright r'[vVRW]m[?WLCc]wml
@.bsecond r'[vrw]m[$wlc]wml
@.curry [{%.bind}]{%block}{%bind}
@.div {%.inv}{%.mul}
@wx {%w}{%x}
@.divMod {%p}rrQll{%wx}
@unrot {%swap}{%swapd}
@.left {%p}rr?l
@not rVRWLCl
@notd {%swap}{%not}{%swap}
@.right {%notd}{%.left}{%not}
@.either {%unrot}{%.left}{%swap}{%.right}
@.firstfixfirst.v1 [^'m]m^'m
@.fixfirst r{%.firstfixfirst}l
@onElem.flatten.s wvrwrw'm{%.addend.s}vr$c
@.inR vVVRWLCc
@step.flatten.s wvvrwlcw$wD[{%onElem.flatten.s}]?VRW[%{%.inR}]?WLCMc
@.flatten.s [{%step.flatten.s}]{%.firstfixfirst}w'm
@onElem.fmap.s rz$vrwrw'mwlc
@step.fmap.s lwvvrwlcw$wD[{%onElem.fmap.s}]?VRW[%]?WLCc
@.fmap.s [{%step.fmap.s}]w'm{%.firstfixfirst}w'm
@next.fromStateSplitNext.r rrr%z$rz'mlc
@split.fromStateSplitNext.r rrrw%z$rzw^zw'mwzw'mlc
@step.fromStateSplitNext.r llvrD[{%next.fromStateSplitNext.r}]?VRW[{%split.fromStateSplitNext.r}]?WLCMc
@.fromStateSplitNext.r {%pw}[{%step.fromStateSplitNext.r}]{%block}{%.bind}{%.fixfirst}{%.bind}
@.fst vrw%c
@.gt {%p}rrGl
@.mirror VRWLC
@.snd vr%c
@.lte1 {%p}rrG[{%.fst}]?{%.mirror}[{%.snd}]?l
@.gt1 {%.lte1}{%not}
@trimBoolean.arity1e Fw%
@toBoolean.arity1e vvrwlcD{%trimBoolean.arity1e}
@toBoolean r{%toBoolean.arity1e}l
@.gtb {%.gt}{%toBoolean}
@.lt {%p}rrwGl
@.gte {%.lt}{%not}
@.gte1 {%p}rrwG[{%.snd}]?{%.mirror}[{%.fst}]?l
@.gteb {%.gte}{%toBoolean}
@.inL vVc
@.lt1 {%.gte1}{%not}
@.ltb {%.lt}{%toBoolean}
@.lte {%.gt}{%not}
@.lteb {%.lte}{%toBoolean}
@onElem.pmap.s rz$rz'mvrwrwz'mwlc
@step.pmap.s wlwvvrwlcw$wD[{%onElem.pmap.s}]?VRW[%]?WLCc
@.pmap.s [{%step.pmap.s}]{%.firstfixfirst}w'mw'm
@.postbind_pw r[{%pw}]wml
@.quot {%p}rrQ%l
@.rem {%p}rrQw%l
@.square {%dup}{%.mul}
@step.state.p0 wvrwr$rz'mlc
@.state.p0 [{%step.state.p0}]{%block}{%.bind}{%.fixfirst}{%.bind}
@.tri {%tuck}{%.apply}{%.rw}{%.bi}{%.wl}
@rot {%swapd}{%swap}
@.tridup {%dup}{%.rw}{%.apply}{%rot}{%.wl}{%dup}{%.rw}{%.apply}{%rot}{%.wl}{%.apply}{%rot}
@ll.compareSums {%pw}{%.wl}{%.apply}{%.wl}{%drop}
@rl.compareSums {%drop2}{%.wl}{%drop}{%.wl}{%drop}{%intro1}{%inR}{%inR}
@inl.compareSums {%.rw}[{%.wl}{%ll.compareSums}]{%block}[{%.wl}{%rl.compareSums}]{%block}{%if}
@lr.compareSums {%drop2}{%.wl}{%drop}{%.wl}{%drop}{%intro1}{%inL}{%inR}
@rr.compareSums {%pw}{%.wl}{%drop}{%.wl}{%.apply}
@inr.compareSums {%.rw}[{%.wl}{%lr.compareSums}]{%block}[{%.wl}{%rr.compareSums}]{%block}{%if}
@EQ {%intro1}{%inL}
@inRR {%inR}{%inR}
@GT {%intro1}{%inRR}
@empty.l {%intro1}{%inR}
@cons.l {%p}{%inL}
@LF {%empty.l}#10{%int}{%cons.l}
@inRL {%inL}{%inR}
@LT {%intro1}{%inRL}
@TODO.AO "Much to do about AO
* functions for association lists, maps, records, or similar
* maybe support for tables, too; relational algebra
* ideally a DSL supporting composition, optimization, compilation
* consider 'measured' trees, with arbitrary monoid to cache information
* e.g. size information
* persistent union-find
* working with embedded binary data (alphabet a-z minus aeiou,vrwlc).
* access to bytecodes: reflection/introspection
* transpile ABC to JavaScript
* functions for matrices and vector
* look into FGL graph library (manipulating graphs with a zipper)
* functions for sequences (finger-trees/ropes)
* functions for parser combinators; grammar DSL
* should support derivative grammars & deep optimizations
* AO bootstrap; optimizers and compilers for ABC, AO
* eventually do typechecking
* eventually get to AMBC
* develop a colors/materials model?
* named palette plus RGB? meh.
* a DSL for mixing, lightening, and darkening colors?
* maybe a richer 'materials' model (cf. POV-ray)
* with shine, roughness, transparency, etc.
* procedural texture generation, perlin noise
* automatic generation from images
* suitable for use in games...
* functions for text, utf-8, binary, base64
* implement as stream transformers?
* functions for kd-trees, geometries, scene-graphs
* functions for textures, jpegs, gifs, compression and decompression
* contraint models for staged dependency/policy/typeclass injection
* project euler? rosetta code? a simple tetris/breakout game?
* need a lot more performance, first!
* simplified app type for quick integration with Haskell? (use plugins?)
* 2D-3D scene-graphs based on enneatrees and zippers
* secure pseduo-random number generators; probabilistic programs
* math libs - linear algebra, symbolic maths
* knowledge database or encyclopaedia?
* unicode
* world data? (countries, flags, populations, maps)
AO's design philosophy is actually similar to Wolfram's - that code should have easy access to vast quantities of useful, maintainable data. AO provides this access in the form of words in a very large dictionary.
~{%lit}
@TODO.RandomNumbers "To really support random numbers, I require a lot more work.
I should be able to:
* generate arbitrary K-bit words and fractionals (trivial!)
* generate arbitrary uniforms (e.g. 6 sided dice)
* model 'weighted' dice
A lot work exists in this area. Relevant keywords and articles:
* sampling from a discrete distribution
* Darts, Dice, and Coins: http://www.keithschwarz.com/darts-dice-coins/
* Alias method
* Vose's algorithm
~{%lit}
@V.abc V
@W.abc W
@Z.abc Z
@a-b.compareStreams {%drop2}{%discard2}{%intro1}{%inR}{%inR}
@dx {%.rw}{%x}{%.wl}
@discard {%put}{%drop}
@nip2 {%.rw}{%drop2}{%.wl}
@ab.compareStreams {%dx}{%x}{%swapd}{%pw}{%put}{%.apply}[{%drop}{%put}{%inline}]{%block}[{%inR}{%discard}{%nip2}]{%block}{%if}
@a.compareStreams {%put}[{%ab.compareStreams}]{%block}[{%a-b.compareStreams}]{%block}{%if}
@abcBase16Alphabet "bdfghjkmnpqstxyz
~{%lit}
@abs.arity1 v{%inner..abs}c
@dpw {%.rw}{%pw}{%.wl}
@dip rwrzvrwr$wlcl
@action.each.l {%wx}wlwl{%dpw}{%dip}{%wx}{%inline}
@roll {%.rw}{%rot}{%.wl}{%swap}
@action.eachUntil.l {%wx}{%roll}{%pw}{%rot}{%dip}{%wx}{%inline}
@dec r#1-+l
@put2 {%put}{%put}
@dip2 rwrwrzlzvrwr$wlcrzlwl
@dip3 {%dpw}{%dip2}{%wx}
@action.forCount.l {%dec}{%put}{%x}{%unrot}{%put2}{%dip3}{%inline}
@copy {%dup}{%take}
@neq rwrzwG[vrGc]?Rl
@neq1 {%neq}r[{%.snd}]?VRWR[{%.fst}]?W[{%.snd}]?WLWLCl
@eq1 {%neq1}{%not}
@eq1m {%eq1}[vMc]{%block}{%.left}
@neq1m {%eq1m}{%not}
@wrapfn {%swapd}{%compose}{%compose}
@wrapCons.mapReverseAppend.l [{%dip}]{%block}{%bind}[{%swap}]{%block}[{%swap}{%cons.l}]{%block}{%wrapfn}
@elim1 rvrwlcc
@fini.each.l {%elim1}wl{%drop}wl{%drop}
@step.each.l wzw[{%action.each.l}]{%block}[{%fini.each.l}]{%block}{%if}
@each.l [{%step.each.l}]{%block}{%.bind}{%.fixfirst}{%inline}
@mapReverseAppend.l {%wrapCons.mapReverseAppend.l}{%each.l}
@mapReverse.l {%empty.l}{%unrot}{%mapReverseAppend.l}
@dwx {%.rw}{%wx}{%.wl}
@pushrv.partition.l [{%dx}{%cons.l}{%p}]{%block}[{%dwx}{%cons.l}{%pw}]{%block}{%if}
@compressArgs {%dpw}[{%wx}]{%block}{%composel}
@apply1to1.stackHand.env rwrzvrwvvrrvrrz$wlcllccwlcl
@apply1to1.std.env {%apply1to1.stackHand.env}
@apply {%apply1to1.std.env}
@apply1to1 {%apply}
@apply2to1 {%compressArgs}{%apply1to1}
@apply3to1 {%compressArgs}{%apply2to1}
@fold.l [{%each.l}]{%block}{%apply3to1}
@partitionAppendReverse.l {%unrot}{%pw}{%swap}[{%pushrv.partition.l}]{%block}{%fold.l}{%wx}
@partitionReverse.l {%empty.l}{%empty.l}{%rot}{%partitionAppendReverse.l}
@partitionWith.l {%mapReverse.l}{%partitionReverse.l}
@nip {%.rw}{%drop}{%.wl}
@dropd {%nip}
@filterWith.l {%partitionWith.l}{%dropd}
@remove.l [{%neq1m}]{%block}{%bind}{%filterWith.l}
@action.nub.l {%x}{%copy}{%remove.l}{%swap}{%apply}{%put}{%cons.l}
@dupd {%.rw}{%dup}{%.wl}
@keep {%dupd}{%dip}
@wrapObserver.b [{%keep}]{%block}{%bind}[{%distrib}[c]{%block}{%.left}[c]{%block}{%.right}]{%block}{%compose}
@partitionBy.l {%wrapObserver.b}{%partitionWith.l}
@action.nubBy.l {%x}{%copy}{%rot}{%bind}{%partitionBy.l}{%drop}{%swap}{%apply}{%put}{%cons.l}
@action.repeat {%dec}{%unrot}{%dip2}{%inline}
@add.abc +
@unseal.stats r{.stats}l
@inc r#1+l
@paste {%hsw}{%copy}{%hsw}
@seal.stats r{:stats}l
@add.stats {%take}{%unseal.stats}{%x}{%inc}{%swap}{%x}{%paste}{%.add}{%swap}{%put}{%dup}{%.mul}{%.add}{%pw}{%pw}{%seal.stats}
@add.arity2 vr+c
@addend.s [{%step.addend.s}]{%block}{%.fixfirst}{%.bind}{%.bind}
@aff.abc f
@affine rfl
@alignToFrac {%dup}rw{%.quot}wl{%.mul}
@and.b {%distrib}rVRW[c]?WLCL[v%]?l
@ap.abc $
@dp {%.rw}{%p}{%.wl}
@bindKVCmp.AATree {%dx}{%dupd}{%.bind}{%dp}
@node.insertKV.AATree {%dx}{%dx}{%dup}{%.apply}{%dp}{%dp}{&TODO}
@taked {%swap}{%take}
@hfix.v3 {%put}r[l{%take}]ml{%.fixfirst}{%take}
@hfix {%hfix.v3}
@hap {%put}{%inline}
@empty.AATree {%intro1}{%inR}
@singleton.AATree {%empty.AATree}{%empty.AATree}{%inR}{%pw}{%pw}{%inL}
@leaf.insertKV.AATree {%discard}{%put}{%singleton.AATree}{%swap}{%inR}
@tree.insertKV.AATree [{%hap}]{%block}[{%leaf.insertKV.AATree}]{%block}{%if}
@apEnv.insertKV.AATree {%bindKVCmp.AATree}[{%node.insertKV.AATree}]{%block}{%bind}{%taked}{%take}{%hfix}{%tree.insertKV.AATree}
@apcar {%dx}{%.apply}{%p}
@apcaar {%dx}{%apcar}{%p}
@apcaaar {%dx}{%apcaar}{%p}
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@eq {%neq}{%not}
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@sum.stats {%unseal.stats}{%wx}{%x}{%copy}{%p}{%pw}{%seal.stats}{%put}
@averageNZ.stats {%count.stats}{%take}{%sum.stats}{%put}{%.div}
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@doc.CompositionIsFirstPrinciple "Every compositional model consists of a trinity: components, operators, and properties. Compositional operators are algebraically closed; they combine two components into a third component. Compositional properties are invariant or inductive over the operators, i.e. `P(x*y)=F(P(x),'*',P(y))`. To the extent the properties `P` are useful and the function `F` is simple, we can reason about the composite based on the components. A set of components may be domain specific (such as diagrams, documents, sounds, and scene-graphs) or more general purpose (such as functions, arrows, matrices, grammars).
Effective use of composition often requires domain-specific tradeoffs between the three aspects. For example, by limiting what components we talk about (just diagrams) we can achieve more useful properties (e.g. bounding areas, efficient occlusion) and more operators (add, scale, rotate, translate, etc.). It is possible to switch between compositional models primarily by staging them, such that the output of one compositional model is translated to a component in another compositional model.
Composition is useful as a foundation for scalability and modularity. Compositional properties enable developers to reason about components without deep knowledge of the implementation details. Composition operators are also convenient due to their uniformity, i.e. we aren't forced to develop or learn a new ad-hoc language or interface for every object. The uniformity and compositional properties can lead to useful intuitions. In comparison, non-compositional models require an ever deeper knowledge of the dependencies to reason about behavior, and ever more ad-hoc and problem-specific glue code to integrate solutions.
Many models favored in conventional programming practice - including state machines, records, process loops, nominative types, conventional conditional expressions, even parametric abstraction - are not compositional. Fortunately, compositional alternatives are available. Grammars can operate as state machines (via parsing). Datalog or relations can generalize records. Processes can be compositional if we instead model them as partial and incremental (i.e. small-step processes; `µP.a→(P*b)`). Nominative types can be replaced with structural types. If/then/else and ad-hoc pattern-case conditional expressions can be replaced with a structural sum types. Ad-hoc parametric abstraction can often be replaced with staging and a reader monad.
Awelon project strongly favors compositional models and designs. This should be reflected in AO's dictionaries and ontologies. I ask that all AO developers embrace composition as first design principle, pervasively, with priority over most other features.
AO is designed to serve as a relatively generic compositional layer, to enable integration or translation of domain-specific models. AO's words are themselves software components. AO's compositional properties - especially causal commutativity, spatial idempotence, substructural types, and capability security - are very useful in this role. AO is also designed to mitigate common weaknesses of deeply layered abstractions by aggressive use of partial evaluation, dependent type analysis, and program search.
~{%lit}
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@nub.l [{%step.nub.l}]{%block}{%fixpoint}{%apply}
@ltb {%.ltb}
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@bidup {%dup}{%bi*}
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@dup2 {%pw}{%dup}{%dwx}{%wx}
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@bi2* [{%dip2}]{%block}{%dip}{%inline}
@bi2dup {%dup}{%bi2*}
@dup3 {%pw}{%pw}{%dup}{%dwx}{%dwx}{%wx}{%wx}
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@bi3dup {%dup}{%bi3*}
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@bind2 {%bind}{%bind}
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@mul2 r#2*l
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@bitListToOctet #8{%int}{%bitListToWordK}
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@chr:1 #49{%int}
@bitToChar [{%chr:0}]{%block}[{%chr:1}]{%block}{%if_}
@map.l {%mapReverse.l}{%reverse.l}
@bitListToText [{%bitToChar}]{%block}{%map.l}
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@empty.s [vvrwlcVVRWLCc]{%block}
@stopOnElem.forCount.s {%elim1}{%empty.s}{%put}{%discard2}
@tryElem.forCount.s {%take}{%intro1}{%.applyd}[{%onElem.forCount.s}]{%block}[{%stopOnElem.forCount.s}]{%block}{%if}
@step.forCount.s {%take2}{%dup}#{%int}{%gt}[{%stopOnCount.forCount.s}]{%block}[{%tryElem.forCount.s}]{%block}{%if_}
@forCount.s {%assertNatural}{%swap}[{%step.forCount.s}]{%block}{%bind}{%fixpoint}{%inline}
@inner.take.s {%empty.l}{%unrot}[{%cons.l}]{%block}{%swap}{%forCount.s}
@take.s {%inner.take.s}{%drop}{%swap}{%reverse.l}
@step.taking.s {%take.s}[{%inL}{%p}{%inL}]{%block}[{%inR}{%dropd}]{%block}{%if}
@step.fromState.s z$wD[vrwrwz'mwlc]?VRW[%]?WLCc
@fromState.s [{%step.fromState.s}]{%block}{%.bind}{%.fixfirst}{%.bind}
@fromStateE.s {%applyWrap}{%fromState.s}
@taking.s {%assertNatural+}[{%step.taking.s}]{%block}{%bind}{%fromStateE.s}
@fmap.s [{%step.fmap.s}]{%block}{%.bind}{%.fixfirst}{%.bind}
@fmapE.s {%applyWrap}{%fmap.s}
@map.s {%fmapE.s}
@bitStreamToOctetStream #8{%int}{%taking.s}[{%bitListToOctet}]{%block}{%map.s}
@bitStreamToText [{%bitToChar}]{%block}{%map.s}
@bitStreamToWordKStream {%copy}{%taking.s}{%put}[{%bitListToWordK}]{%block}{%bind}{%map.s}
@n.blackHeight.AATree {%wx}{%x}{%put}{%inline}{%dp}{%dpw}
@t.blackHeight.AATree {%take}[{%n.blackHeight.AATree}{%inLd}{%inc}]{%block}[{%discard}{%inR}#{%int}]{%block}{%if}
@blackHeight.AATree [{%t.blackHeight.AATree}]{%block}{%fixpoint}{%apply1to2}
@n.blackHeight.rbt {%wx}{%wx}{%x}{%hap}{%dp}{%dpw}{%dpw}{%take}{%n.color.rbt}[{%hsw}{%inc}{%hsw}]{%block}[]{%block}{%if_}{%put}
@t.blackHeight.rbt {%unseal.rbt}[{%discard}{%inL}#{%int}]{%block}[{%n.blackHeight.rbt}{%inRd}]{%block}{%if}{%seald.rbt}
@blackHeight.rbt [{%t.blackHeight.rbt}]{%block}{%take}{%hfix}{%hap}
@decd rw{%dec}wl
@body.repeatUntil {%dip2}{%decd}{%inline}
@not.b rVRWLCl
@consd.l {%swap}{%dp}{%inLd}
@part.spanRAP.l {%x}{%put}{%.apply}[{%cons.l}{%discard}]{%block}[{%consd.l}{%put}{%inline}]{%block}{%if}
@open.spanRAP.l {%swap}{%take2}[{%part.spanRAP.l}]{%block}[{%inR}{%discard2}]{%block}{%if}
@spanRevAppP.l {%applyWrap}[{%open.spanRAP.l}]{%block}{%bind}{%fixpoint}{%apply2to2}
@spanRevP.l {%empty.l}{%unrot}{%spanRevAppP.l}{%swap}
@spanP.l {%spanRevP.l}{%reverse.l}
@span.l {%wrapObserver.b}{%spanP.l}
@break.l [{%not.b}]{%block}{%compose}{%span.l}
@breakP.l [{%mirror}]{%block}{%compose}{%spanP.l}
@breakRevP.l [{%not.b}]{%block}{%compose}{%spanRevP.l}
@unroll2 {%swap}
@bury1 {%unroll2}
@unroll2d {%swapd}
@bury1d {%unroll2d}
@unroll3 {%unrot}
@bury2 {%unroll3}
@unrotd {%.rw}{%unrot}{%.wl}
@unroll3d {%unrotd}
@bury2d {%unroll3d}
@unroll4 {%unroll}
@bury3 {%unroll4}
@unrolld {%.rw}{%unroll}{%.wl}
@unroll4d {%unrolld}
@bury3d {%unroll4d}
@unroll5 {%swap}{%.rw}{%unroll4}{%.wl}
@bury4 {%unroll5}
@unroll5d {%.rw}{%unroll5}{%.wl}
@bury4d {%unroll5d}
@unroll6 {%swap}{%.rw}{%unroll5}{%.wl}
@bury5 {%unroll6}
@unroll6d {%.rw}{%unroll6}{%.wl}
@bury5d {%unroll6d}
@unroll7 {%swap}{%.rw}{%unroll6}{%.wl}
@bury6 {%unroll7}
@unroll7d {%.rw}{%unroll7}{%.wl}
@bury6d {%unroll7d}
@unroll8 {%swap}{%.rw}{%unroll7}{%.wl}
@bury7 {%unroll8}
@unroll8d {%.rw}{%unroll8}{%.wl}
@bury7d {%unroll8d}
@unroll9 {%swap}{%.rw}{%unroll8}{%.wl}
@bury8 {%unroll9}
@unroll9d {%.rw}{%unroll9}{%.wl}
@bury8d {%unroll9d}
@c$ [c]$
@c.abc c
@c_ vrwlcwlc
@v_ vrwvrwlc
@r_ rrwzlwl
@w_ rwrwzwlwl
@l_ rwrzwll
@c__ {%v_}{%r_}{%w_}{%l_}{%c_}{%w_}{%l_}{%c_}
@v__ {%v_}{%r_}{%w_}{%v_}{%r_}{%w_}{%l_}{%c_}
@z_ {%.rw}{%w_}{%.wl}
@r__ {%r_}{%r_}{%w_}{%z_}{%l_}{%w_}{%l_}
@w__ {%r_}{%w_}{%r_}{%w_}{%z_}{%w_}{%l_}{%w_}{%l_}
@l__ {%r_}{%w_}{%r_}{%z_}{%w_}{%l_}{%l_}
@c___ {%v__}{%r__}{%w__}{%l__}{%c__}{%w__}{%l__}{%c__}
@caar {%x}{%car}{%dp}
@caaar {%x}{%caar}{%dp}
@caaaar {%x}{%caaar}{%dp}
@caaaaar {%x}{%caaaar}{%dp}
@caaaadr {%wx}{%caaaar}{%dpw}
@caaadr {%wx}{%caaar}{%dpw}
@caaadar {%x}{%caaadr}{%dp}
@caaaddr {%wx}{%caaadr}{%dpw}
@caadr {%wx}{%caar}{%dpw}
@caadar {%x}{%caadr}{%dp}
@caadaar {%x}{%caadar}{%dp}
@caadadr {%wx}{%caadar}{%dpw}
@caaddr {%wx}{%caadr}{%dpw}
@caaddar {%x}{%caaddr}{%dp}
@caadddr {%wx}{%caaddr}{%dpw}
@cadar {%x}{%cadr}{%dp}
@cadaar {%x}{%cadar}{%dp}
@cadaaar {%x}{%cadaar}{%dp}
@cadaadr {%wx}{%cadaar}{%dpw}
@cadadr {%wx}{%cadar}{%dpw}
@cadadar {%x}{%cadadr}{%dp}
@cadaddr {%wx}{%cadadr}{%dpw}
@caddr {%wx}{%cadr}{%dpw}
@caddar {%x}{%caddr}{%dp}
@caddaar {%x}{%caddar}{%dp}
@caddadr {%wx}{%caddar}{%dpw}
@cadddr {%wx}{%caddr}{%dpw}
@cadddar {%x}{%cadddr}{%dp}
@caddddr {%wx}{%cadddr}{%dpw}
@cdr {%wx}{%dup}{%dpw}
@cdar {%x}{%cdr}{%dp}
@cdaar {%x}{%cdar}{%dp}
@cdaaar {%x}{%cdaar}{%dp}
@cdaaaar {%x}{%cdaaar}{%dp}
@cdaaadr {%wx}{%cdaaar}{%dpw}
@cdaadr {%wx}{%cdaar}{%dpw}
@cdaadar {%x}{%cdaadr}{%dp}
@cdaaddr {%wx}{%cdaadr}{%dpw}
@cdadr {%wx}{%cdar}{%dpw}
@cdadar {%x}{%cdadr}{%dp}
@cdadaar {%x}{%cdadar}{%dp}
@cdadadr {%wx}{%cdadar}{%dpw}
@cdaddr {%wx}{%cdadr}{%dpw}
@cdaddar {%x}{%cdaddr}{%dp}
@cdadddr {%wx}{%cdaddr}{%dpw}
@cddr {%wx}{%cdr}{%dpw}
@cddar {%x}{%cddr}{%dp}
@cddaar {%x}{%cddar}{%dp}
@cddaaar {%x}{%cddaar}{%dp}
@cddaadr {%wx}{%cddaar}{%dpw}
@cddadr {%wx}{%cddar}{%dpw}
@cddadar {%x}{%cddadr}{%dp}
@cddaddr {%wx}{%cddadr}{%dpw}
@cdddr {%wx}{%cddr}{%dpw}
@cdddar {%x}{%cdddr}{%dp}
@cdddaar {%x}{%cdddar}{%dp}
@cdddadr {%wx}{%cdddar}{%dpw}
@cddddr {%wx}{%cdddr}{%dpw}
@cddddar {%x}{%cddddr}{%dp}
@cdddddr {%wx}{%cddddr}{%dpw}
@cmd.test zwl{%.apply}{%x}rwz
@comp.abc m
@step.fromList.s D[vrwrwz'mwlc]?VRW[%]?WLCc
@fromList.s [{%step.fromList.s}]{%block}{%.fixfirst}{%.bind}
@step.compareStreams {%swap}{%take2}{%intro1}{%.applyd}{%take}{%intro1}{%.applyd}[{%a.compareStreams}]{%block}[{%-a.compareStreams}]{%block}{%if}
@compareStreams [{%step.compareStreams}]{%block}{%bind}{%fixpoint}{%inline}
@compareLists {%take}{%fromList.s}{%take}{%fromList.s}{%put2}{%compareStreams}
@rawCompareNumbers' vrwG[vrGc]?Rc
@e.toOrd VRWRW[v%]?W[v%]?LW[v%]?LC
@toOrd.arity1 v{%e.toOrd}c
@rawCompareNumbers {%rawCompareNumbers'}{%toOrd.arity1}
@compareNumbers {%pw}[{%rawCompareNumbers}]{%block}{%.apply}
@compareOnStackToRawCompare [{%wx}]{%block}{%composel}{%applyWrap}
@compareProds {%.rw}{%.rw}{%dx}{%x}{%swapd}{%pw}{%dpw}{%.wl}{%.apply}[{%drop}{%.wl}{%.apply}]{%block}[{%inR}{%.wl}{%drop}{%dropd}]{%block}{%if}
@compareSums {%.rw}{%.rw}[{%inl.compareSums}]{%block}[{%inr.compareSums}]{%block}{%if}
@toOrd r{%e.toOrd}l
@compareTexts [{%rawCompareNumbers}]{%block}{%compareLists}{%toOrd}
@compareUnits c{%.inL}
@compile r{&compile}l
@step.compose.p0 vrwrwr$rwzw$zrz'mzw'mlc
@compose.p0 [{%step.compose.p0}]{%block}{%.fixfirst}{%.bind}{%.bind}
@composel.p0 {%swap}{%compose.p0}
@cond.eachUntil.l {%swap}{%dip3}{%roll}[{%action.eachUntil.l}]{%block}[{%nip2}{%inL}]{%block}{%if_}
@condSelect {%p}{%distrib}r[rwl]?l{%merge}{%x}{%fst}
@fullFactor rFMll{%x}
@condSwap {%p}{%distrib}r[rwl]?l{%fullFactor}{%wx}
@condap.abc ?
@cons.s {%p}{%inL}r'[c]wml
@constant.s [v^lVc]{%block}{%fromState.s}
@copy.abc ^
@counter.splitReverseN.l {%swap}{%dup}#1{%int}{%lt}{%swapd}
@nip3 {%.rw}{%drop3}{%.wl}
@step.eachUntil.l {%roll}[{%cond.eachUntil.l}]{%block}[{%nip3}{%inR}]{%block}{%if}
@eachUntil.l [{%step.eachUntil.l}]{%block}{%bind2}{%fixpoint}{%inline}
@inner.splitReverseN.l {%swap}{%empty.l}{%swap}[{%cons.l}{%decd}]{%block}[{%counter.splitReverseN.l}]{%block}{%eachUntil.l}{%swap}{%rot}
@splitReverseN.l {%assertNatural}[{%inner.splitReverseN.l}]{%block}{%apply2to3}
@splitReverse.l {%splitReverseN.l}{%drop}
@copy.l {%splitReverse.l}{%copy}{%reverseAppend.l}{%put}{%reverse.l}
@copy2 {%dup2}{%take2}
@take3 {%take2}{%take}
@copy3 {%dup3}{%take3}
@dup4 {%pw}{%pw}{%pw}{%dup}{%dwx}{%dwx}{%dwx}{%wx}{%wx}{%wx}
@take4 {%take3}{%take}
@copy4 {%dup4}{%take4}
@dup5 {%pw}{%pw}{%pw}{%pw}{%dup}{%dwx}{%dwx}{%dwx}{%dwx}{%wx}{%wx}{%wx}{%wx}
@take5 {%take4}{%take}
@copy5 {%dup5}{%take5}
@dup6 {%pw}{%pw}{%pw}{%pw}{%pw}{%dup}{%dwx}{%dwx}{%dwx}{%dwx}{%dwx}{%wx}{%wx}{%wx}{%wx}{%wx}
@take6 {%take5}{%take}
@copy6 {%dup6}{%take6}
@dup7 {%pw}{%pw}{%pw}{%pw}{%pw}{%pw}{%dup}{%dwx}{%dwx}{%dwx}{%dwx}{%dwx}{%dwx}{%wx}{%wx}{%wx}{%wx}{%wx}{%wx}
@take7 {%take6}{%take}
@copy7 {%dup7}{%take7}
@incd rw{%inc}wl
@state.p0 r[{%preApply}{%wx}]m[{%pw}{%postApply}]wml{%.state.p0}
@countFrom.p0 [{%drop}{%dup}{%incd}]{%block}{%state.p0}
@count.p0 #1{%int}{%countFrom.p0}
@counterFrom.p0 [rw{%dup}{%incd}wl{%pw}]{%block}{%state.p0}
@counter.p0 #1{%int}{%counterFrom.p0}
@curry [{%bind}]{%block}{%bind}
@curry2 [{%bind}{%curry}]{%block}{%bind}
@curry3 [{%bind}{%curry2}]{%block}{%bind}
@curry4 [{%bind}{%curry3}]{%block}{%bind}
@digit.abc rw#10*+
@d0.abc #{%int}{%digit.abc}
@d1.abc #1{%int}{%digit.abc}
@d2.abc #2{%int}{%digit.abc}
@d3.abc #3{%int}{%digit.abc}
@d4.abc #4{%int}{%digit.abc}
@d5.abc #5{%int}{%digit.abc}
@d6.abc #6{%int}{%digit.abc}
@d7.abc #7{%int}{%digit.abc}
@d8.abc #8{%int}{%digit.abc}
@d9.abc #9{%int}{%digit.abc}
@dec.arity1 v#1-+c
@div2 r#5{%int}#1{%int}{%decimal}r*l
@roundToFrac {%dup}rw{%div2}{%.add}wl{%alignToFrac}
@decimal12 #1000000000000{%int}{%.inv}{%roundToFrac}
@decimal6 #1000000{%int}{%.inv}{%roundToFrac}
@step.delay.p0 vrwrwz'mlc
@delay.p0 [{%step.delay.p0}]{%block}{%.fixfirst}{%.bind}
@dig1 {%roll2}
@roll2d {%swapd}
@dig1d {%roll2d}
@dig2 {%roll3}
@roll3d {%rotd}
@dig2d {%roll3d}
@dig3 {%roll4}
@roll4d {%rolld}
@dig3d {%roll4d}
@dig4 {%roll5}
@roll5d {%.rw}{%roll5}{%.wl}
@dig4d {%roll5d}
@dig5 {%roll6}
@roll6d {%.rw}{%roll6}{%.wl}
@dig5d {%roll6d}
@dig6 {%roll7}
@roll7d {%.rw}{%roll7}{%.wl}
@dig6d {%roll7d}
@dig7 {%roll8}
@roll8d {%.rw}{%roll8}{%.wl}
@dig7d {%roll8d}
@roll9 {%.rw}{%roll8}{%.wl}{%swap}
@dig8 {%roll9}
@roll9d {%.rw}{%roll9}{%.wl}
@dig8d {%roll9d}
@dip0 {%inline}
@dip1 {%dip}
@dip4 {%dpw}{%dip3}{%wx}
@dip5 {%dpw}{%dip4}{%wx}
@dip6 {%dpw}{%dip5}{%wx}
@dip7 {%dpw}{%dip6}{%wx}
@dip8 {%dpw}{%dip7}{%wx}
@dirLeft.z.rbt {%intro1}{%inL}
@dirRight.z.rbt {%intro1}{%inR}
@discard3 {%hsw}{%drop3}{%hsw}
@drop4 {%drop}{%drop}{%drop}{%drop}
@discard4 {%hsw}{%drop4}{%hsw}
@drop5 {%drop2}{%drop3}
@discard5 {%hsw}{%drop5}{%hsw}
@drop6 {%drop3}{%drop3}
@discard6 {%hsw}{%drop6}{%hsw}
@distrib.abc D
@false.b {%intro1}{%inL}
@trimBoolean r{%trimBoolean.arity1e}l
@distribInL {%false.b}{%swap}{%distrib}{%trimBoolean}
@distribInLd {%.rw}{%distribInL}{%.wl}
@distribInR {%distribInL}{%mirror}
@distribInRd {%.rw}{%distribInR}{%.wl}
@div2.arity1 v#5{%int}#1{%int}{%decimal}r*c
@div2d rw{%div2}wl
@divMod.abc Q
@divMod.arity2 vrwQwlc
@l rrwrzwlll
@dl {%.rw}{%l}{%.wl}
@doc.abc:newZero "e→(N(0)*e); intro number 0
~{%lit}
@doc..abs "N(a) -- N(|a|)
~{%lit}
@doc..add "N(b) N(a) -- N(a+b)
~{%lit}
@doc..addend.s "(a`S*(a`S*e))→(a`S*e); addend streams (ABC layer stack)
~{%lit}
@doc..app1 "[1→y]→y
~{%lit}
@doc..app1e "[1→y]*e → y*e
~{%lit}
@doc..apply1 "[1→y] -- y
~{%lit}
@doc..assertFirstUnit "(1*e)→(1*e); assert first value is unit
~{%lit}
@doc..assertUnit "1→1; assert singular value is unit
~{%lit}
@doc..bapply "[x→x'] -- [((x*s)*e)→((x'*s)*e)]
~{%lit}
@doc..bfirst "[x→x'] -- [(x*y)→(x'*y)]
~{%lit}
@doc..bi "a a (a→b) -- b b
~{%lit}
@doc..bidup "a a [a→b] -- b b; raw 'bidup'
~{%lit}
@doc..bind "x [(x*y)→z] -- [y→z]; bind argument into pair
~{%lit}
@doc..bind2nd "y [(x*y)→z] -- [x→z]; bind second argument in pair
~{%lit}
@doc..bleft "[x→x'] -- [(x+y)→(x'+y)]
~{%lit}
@doc..both "(a*b) [a→a'] [b→b'] -- (a'*b')
~{%lit}
@doc..bright "[y→y'] -- [(x+y)→(x+y')]
~{%lit}
@doc..bsecond "[y→y'] -- [(x*y)→(x*y')]
~{%lit}
@doc..curry "[(x*y)→z] -- [x→[y→z]]; curry pair argument
~{%lit}
@doc..divMod "N(a) N(b) -- N(r) N(q) where a=q*b+r and r in (b,0] or [0,b)
~{%lit}
@doc..either "(a + b) [a→a'] [b→b'] -- (a' + b')
~{%lit}
@doc..eitherBind "(a+b) [(a*e)→e'] [(b*e)→e'] -- ([e→e']+[e→e'])
~{%lit}
@doc..first "(a*b) [a→a'] -- (a'*b)
~{%lit}
@doc..firstfixfirst "([([a→b]*a)→b]*e)→([a→b]*e); a minimal fixpoint
~{%lit}
@doc..fixfirst "[([a→b]*a)→b] -- [a→b]; fixpoint first argument in pair
~{%lit}
@doc..fmap.s "([a → b] * (a`S * e))→(b`S * e); map stream primitive
~{%lit}
@doc..fromStateSplitNext.r "A slightly more primitive variation of `fromStateSplitNext.r`.
st [st→(st*st)] [st→(st*n)] -- n`PRG
This operates on raw inputs, rather than using the 'apply' environment.
~{%lit}
@doc..fst "(x*y)→x
~{%lit}
@doc..gt "a b -- ((a*b) + (b*a)); a > b?; for numbers a,b