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== References == | |||
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Revision as of 13:29, 24 February 2015
Let us think about selbri as function taking its terbri as arguments and returning the predication, or bridi. This predication can be then claimed in context, returning truth-value of resulting bridi in that context.
function tavla(speaker, listener, subject, language) {...} // returns predication function claim(predication, context) {...} // returns boolean claim(tavla("me", "you", "lojban", "lojban"), context);
To build functions returning other things, we can use {lo}. Let us not go into intricacies of descriptors and pretend what {lo selbri} returns simply some value s1 such that claim(selbri(s1, s2...sx), context) will be true for some values of s2...sx and claimed with some context. Arguments other than context could be restricted with {be...bei...be'o}. So {lo selbri be sumti2 bei sumti3 be'o} is x1 = selbri1(sumti2, sumti3).
{loka}- and {me'ei}-abstractions, then, are predication-returning functions as first-class values. {me'au} with these abstractions is function application; {kai'u} is immediate function application.
apply
We are now ready to construct functions taking functions as arguments and/or returning other functions. Let's start with apply (for unary function):
lo goi la pliri'a ge'u ka la jalge la fancu la sumti ce'ai la jalge cu me'au la fancu la sumti kei
function apply(fun, arg) { return fun(arg); }
Now we can use it as such:
lo me'au la .pliri'a. ku be me'ei tavla bei mi be'o
It could be rewritten in CLL Lojban, but would be (even) less readable:
cylylypapi'epa jo'au lo ka bridi ce'u ce'u ce'o ce'u kei goi ko'a zo'u co'e zo'e poi bridi be ko'a bei lo ka ce'u tavla ce'u ku ce'o ke'a ce'o mi
compose
Function composition, compose (for unary functions, still):
lo goi la finti ge'u ka la jalge la fancu xipa la fancu xire ce'ai la jalge cu ka la jalge xipa la sumti ce'ai la jalge xipa cu me'au la fancu xipa lo me'au la fancu xire ku be la sumti kei kei
function compose(fun, fuun) { return function (arg) { return fun(fuun(arg)); }}
Recursion
Infinite recursion (do not try it at home):
lo goi la cimnrekursi ge'u ka me'oi la cimnrekursi kei
function infRec() { infRec(); }
I am not sure of the last one. Maybe {goi} works only forward in scope. {me'oi ka nei} (or simply {nei}) will do almost the same, I guess.
if
Confitional (taken from Tsani’s recursive predicate definition, replacing {ckaji} with {du}):
lo goi la cuxna ge'u ka la jalge la krinu by boi cy ce'ai ge ganai la krinu gi la jalge cu du by gi ga la krinu gi la jalge cu du cy kei
Maybe also la gleki's {ifle} will work:
lo goi la cuxna ge'u ka la jalge la krinu by boi cy ce'ai la krinu cu ifle lo du'u la jalge cu du by kei lo du'u la jalge cu du cy kei kei
Recursion (again)
Now we are ready to build a simple recursion. {krasi} and {fanmo} are used to get first and last elements of sequence, respectively; I am not very sure if this is appropriate. Now if the style is to be developed in the direction of LISP, then functions working on sequences, like head, tail and cons are to be defined.
{ja'ebo goi} is a hack even dirtier than it is usual for these matters; it is used to both a) group the sequence as one sumti to attach relative clause to it and b) to move that clause to the front.
lo goi la kancu ge'u ka la jalge la porsi la cabna ce'ai la jalge cu me'au la cuxna lo du'u la cabna cu fanmo la porsi kei li pa lo sumji be li pa lo me'au la kancu ku be la porsi bei lo bavla'i be la cabna bei la porsi kei je'abo goi la mupli ge'u by ce'o cy ce'o dy zo'u li ci cu me'au la kancu la mupli lo krasi be la mupli
// approximately function len(list, item) { return (list.indexOf(item) === list.length - 1) ? 1 : 1 + len(list, list[list.indexOf(item)] + 1); } var sample = ["b", "c", "d"]; assert(3 === len(sample, sample[0]));
curry
For now, let us pretend that we already have function for tail, being {la selyli'a}. We'll also use {tersu'imei} for getting function (selbri) arity (we could use {lo se pormei be lo se zilbri be lo ka broda}, or above defined {la kancu} instead of {se pormei}).
lo goi karis buboi ge'u ka result buboi fun buboi ce'ai (to be done)
buboi
In the first version of this draft, {cizra} consctruction {NAME buboi} was used for variable names. It was a hack, but I knew no better way to assign more-or-less meaningful names to assignable variables. Without {buboi}, I'd be up to my neck in {ko'a}s. Luckily, la menli proposed assigning values with {goi} to cmene. Though {goi} behavior is not fully standardized [1], I consisently place name to be assigned after it, and value being assigned before.