diff --git a/Programming Languages/Part A/Unit 2/hw2.sml b/Programming Languages/Part A/Unit 2/hw2.sml index ef58f58..290e4d3 100644 --- a/Programming Languages/Part A/Unit 2/hw2.sml +++ b/Programming Languages/Part A/Unit 2/hw2.sml @@ -43,11 +43,11 @@ fun get_substitutions2 (sll, s) = fun similar_names (sll,name) = let - val {first=f, middle=m, last=l} = name + val {first=f, middle=m, last=l} = name fun make_names xs = case xs of - [] => [] - | x::xs' => {first=x, middle=m, last=l}::(make_names(xs')) + [] => [] + | x::xs' => {first=x, middle=m, last=l}::(make_names(xs')) in name::make_names(get_substitutions2(sll,f)) end diff --git a/Programming Languages/Part A/Unit 3/42_functions_intro.sml b/Programming Languages/Part A/Unit 3/42_functions_intro.sml new file mode 100644 index 0000000..7fe7708 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/42_functions_intro.sml @@ -0,0 +1,7 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Introduction to First-Class Functions *) + +fun double x = 2*x +fun incr x = x+1 +val a_tuple = (double, incr, double(incr 7)) +val eighteen = (#1 a_tuple) 9 diff --git a/Programming Languages/Part A/Unit 3/43_functions_as_arguments.sml b/Programming Languages/Part A/Unit 3/43_functions_as_arguments.sml new file mode 100644 index 0000000..577d1ce --- /dev/null +++ b/Programming Languages/Part A/Unit 3/43_functions_as_arguments.sml @@ -0,0 +1,49 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Functions As Arguments *) + +(* it should *pain* us to write the next three functions separately, + but we do not have to *) +fun increment_n_times_lame (n,x) = (* silly example, this is addition (n+x) *) + if n=0 + then x + else 1 + increment_n_times_lame(n-1,x) + +fun double_n_times_lame (n,x) = + if n=0 + then x + else 2 * double_n_times_lame(n-1,x) + +fun nth_tail_lame (n,xs) = + if n=0 + then xs + else tl (nth_tail_lame(n-1,xs)) + +(* this is much better: as always, abstract the common pieces into a function + n_times(f,n,x) returns f(f(...(f(x)))) where there are n calls to f + note: if we gave x type int, then we could not use this for lists +*) +fun n_times (f,n,x) = + if n=0 + then x + else f (n_times(f,n-1,x)) + +fun increment x = x+1 + +fun double x = x+x + +val x1 = n_times(double,4,7) +val x2 = n_times(increment,4,7) +val x3 = n_times(tl,2,[4,8,12,16]) + +(* and we can define functions that use n_times *) +fun addition (n,x) = n_times(increment,n,x) (* assumes n >=0 *) +fun double_n_times (n,x) = n_times(double,n,x) +fun nth_tail (n,x) = n_times(tl,n,x) + +(* we can then use n_times for more things we did not plan on originally *) + +fun triple x = 3*x + +fun triple_n_times (n,x) = n_times(triple,n,x) + + diff --git a/Programming Languages/Part A/Unit 3/44_types_and_functions.sml b/Programming Languages/Part A/Unit 3/44_types_and_functions.sml new file mode 100644 index 0000000..205e64d --- /dev/null +++ b/Programming Languages/Part A/Unit 3/44_types_and_functions.sml @@ -0,0 +1,31 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Polymorphic Types and Functions As Arguments *) + +(* our n_times function is polymorphic, which lets us use it for numbers, lists, + or anything else provided f and x "agree" + - return and argument type of f must be the same here because and only + because result is passed back to f +*) +fun n_times (f,n,x) = + if n=0 + then x + else f (n_times(f,n-1,x)) + +fun increment x = x+1 +fun double x = x+x +val x1 = n_times(double,4,7) (* instantiates 'a with int *) +val x2 = n_times(increment,4,7) (* instantiates 'a with int *) +val x3 = n_times(tl,2,[4,8,12,16]) (* instantiates 'a with int list *) + +(* higher-order functions are often polymorphic based on "whatever +type of function is passed" but not always: *) +fun times_until_zero (f,x) = + (* note: a better implementation would be tail-recursive *) + if x=0 then 0 else 1 + times_until_zero(f, f x) + +(* conversely, we have seen polymorphic functions that are not higher-order *) +fun len xs = + case xs of + [] => 0 + | x::xs' => 1 + len xs' + diff --git a/Programming Languages/Part A/Unit 3/45_anonymous_functions.sml b/Programming Languages/Part A/Unit 3/45_anonymous_functions.sml new file mode 100644 index 0000000..6461e6c --- /dev/null +++ b/Programming Languages/Part A/Unit 3/45_anonymous_functions.sml @@ -0,0 +1,31 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Anonymous Functions *) + +fun n_times (f,n,x) = + if n=0 + then x + else f (n_times(f,n-1,x)) + +fun triple x = 3*x + +fun triple_n_times1 (n,x) = n_times(triple,n,x) + +fun triple_n_times2 (n,x) = + let fun triple x = 3*x in n_times(triple,n,x) end + +(* actually since used only once, we could define it + right where we need it *) +fun triple_n_times3 (n,x) = + n_times((let fun triple y = 3*y in triple end), n, x) + +(* This does not work: a function /binding/ is not an /expression/ *) +(* fun triple_n_times3 (n,x) = n_times((fun triple y = 3*y), n, x) *) + +(* This /anonymous function/ expression works and is the best style: *) +(* Notice the function has no name *) + +fun triple_n_times4 (n,x) = n_times((fn y => 3*y), n, x) + +(* because triple_n_times4 does not call itself, we could use a val-binding + to define it, but the fun binding above is better style *) +val triple_n_times5 = fn (n,x) => n_times((fn y => 3*y), n, x) diff --git a/Programming Languages/Part A/Unit 3/46_unnecessary_function_wrapping.sml b/Programming Languages/Part A/Unit 3/46_unnecessary_function_wrapping.sml new file mode 100644 index 0000000..98bef43 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/46_unnecessary_function_wrapping.sml @@ -0,0 +1,21 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Unnecessary Function Wrapping *) + +fun n_times (f,n,x) = + if n=0 + then x + else f (n_times(f,n-1,x)) + +(* bad style: the if e then true else false of functions *) +fun nth_tail (n,xs) = n_times((fn y => tl y), n, xs) + +(* good style: *) +fun nth_tail (n,x) = n_times(tl, n, x) + +(* bad style *) +fun rev xs = List.rev xs + +val rev = fn xs => List.rev xs + +(* good style *) +val rev = List.rev diff --git a/Programming Languages/Part A/Unit 3/47_map_and_filter.sml b/Programming Languages/Part A/Unit 3/47_map_and_filter.sml new file mode 100644 index 0000000..1cea6ae --- /dev/null +++ b/Programming Languages/Part A/Unit 3/47_map_and_filter.sml @@ -0,0 +1,30 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Map and Filter *) + +(* here is a very, very useful and common example *) +fun map (f,xs) = + case xs of + [] => [] + | x::xs' => (f x)::(map(f,xs')) + +val x1 = map ((fn x => x+1), [4,8,12,16]) + +val x2 = map (hd, [[1,2],[3,4],[5,6,7]]) + +(* another very, very useful and common example *) +fun filter (f,xs) = + case xs of + [] => [] + | x::xs' => if f x + then x::(filter (f,xs')) + else filter (f,xs') + +fun is_even v = + (v mod 2 = 0) + +fun all_even xs = + filter(is_even,xs) + +fun all_even_snd xs = + filter((fn (_,v) => is_even v), xs) + diff --git a/Programming Languages/Part A/Unit 3/48_generalizing_prior_topics.sml b/Programming Languages/Part A/Unit 3/48_generalizing_prior_topics.sml new file mode 100644 index 0000000..c64db41 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/48_generalizing_prior_topics.sml @@ -0,0 +1,28 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Generalizing Prior Topics *) + +(* Returning a function *) +fun double_or_triple f = + if f 7 + then fn x => 2*x + else fn x => 3*x + +val double = double_or_triple (fn x => x-3 = 4) +val nine = (double_or_triple (fn x => x = 42)) 3 + +(* Higher-order functions over our own datatype bindings *) +datatype exp = Constant of int + | Negate of exp + | Add of exp * exp + | Multiply of exp * exp + +fun true_of_all_constants(f,e) = + case e of + Constant i => f i + | Negate e1 => true_of_all_constants(f,e1) + | Add(e1,e2) => true_of_all_constants(f,e1) + andalso true_of_all_constants(f,e2) + | Multiply(e1,e2) => true_of_all_constants(f,e1) + andalso true_of_all_constants(f,e2) + +fun all_even e = true_of_all_constants((fn x => x mod 2 = 0),e) diff --git a/Programming Languages/Part A/Unit 3/49_lexical_scope.sml b/Programming Languages/Part A/Unit 3/49_lexical_scope.sml new file mode 100644 index 0000000..60c1929 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/49_lexical_scope.sml @@ -0,0 +1,13 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Lexical Scope *) + +(* 1 *) val x = 1 + +(* 2 *) fun f y = x + y + +(* 3 *) val x = 2 + +(* 4 *) val y = 3 + +(* 5 *) val z = f (x + y) + diff --git a/Programming Languages/Part A/Unit 3/50_lexical_scope_and_functions.sml b/Programming Languages/Part A/Unit 3/50_lexical_scope_and_functions.sml new file mode 100644 index 0000000..56f60d0 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/50_lexical_scope_and_functions.sml @@ -0,0 +1,26 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Lexical Scope and Higher-Order Functions *) + +(* first example *) +val x = 1 +fun f y = + let + val x = y+1 + in + fn z => x + y + z + end +val x = 3 +val g = f 4 +val y = 5 +val z = g 6 + +(* second example *) +fun f g = + let + val x = 3 + in + g 2 + end +val x = 4 +fun h y = x + y +val z = f h diff --git a/Programming Languages/Part A/Unit 3/51_why_lexical_scope.sml b/Programming Languages/Part A/Unit 3/51_why_lexical_scope.sml new file mode 100644 index 0000000..661523b --- /dev/null +++ b/Programming Languages/Part A/Unit 3/51_why_lexical_scope.sml @@ -0,0 +1,60 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Why Lexical Scope *) + +(* f1 and f2 are always the same, no matter where the result is used *) + +fun f1 y = + let + val x = y + 1 + in + fn z => x + y + z + end + +fun f2 y = + let + val q = y + 1 + in + fn z => q + y + z + end + +val x = 17 (* irrelevant *) +val a1 = (f1 7) 4 +val a2 = (f2 7) 4 + +(* f3 and f4 are always the same, no matter what argument is passed in *) + +fun f3 g = + let + val x = 3 (* irrelevant *) + in + g 2 + end + +fun f4 g = + g 2 + +val x = 17 +val a3 = f3 (fn y => x + y) +val a4 = f3 (fn y => 17 + y) + +(* under dynamic scope, the call "g 6" below would try to add a string +(from looking up x) and would have an unbound variable (looking up y), +even though f1 type-checked with type int -> (int -> int) *) + +val x = "hi" +val g = f1 7 +val z = g 4 + +(* Being able to pass closures that have free variables (private data) + makes higher-order functions /much/ more useful *) +fun filter (f,xs) = + case xs of + [] => [] + | x::xs' => if f x then x::(filter(f,xs')) else filter(f,xs') + +fun greaterThanX x = fn y => y > x + +fun noNegatives xs = filter(greaterThanX ~1, xs) + +fun allGreater (xs,n) = filter (fn x => x > n, xs) + diff --git a/Programming Languages/Part A/Unit 3/52_closures_and_recomputation.sml b/Programming Languages/Part A/Unit 3/52_closures_and_recomputation.sml new file mode 100644 index 0000000..2fa87a1 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/52_closures_and_recomputation.sml @@ -0,0 +1,27 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Closures and Recomputation *) + +fun filter (f,xs) = + case xs of + [] => [] + | x::xs' => if f x then x::(filter(f,xs')) else filter(f,xs') + +fun allShorterThan1 (xs,s) = + filter (fn x => String.size x < (print "!"; String.size s), xs) + +fun allShorterThan2 (xs,s) = + let + val i = (print "!"; String.size s) + in + filter(fn x => String.size x < i, xs) + end + +val _ = print "\nwithAllShorterThan1: " + +val x1 = allShorterThan1(["1","333","22","4444"],"xxx") + +val _ = print "\nwithAllShorterThan2: " + +val x2 = allShorterThan2(["1","333","22","4444"],"xxx") + +val _ = print "\n" diff --git a/Programming Languages/Part A/Unit 3/53_fold_and_more_closures.sml b/Programming Languages/Part A/Unit 3/53_fold_and_more_closures.sml new file mode 100644 index 0000000..94a60a0 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/53_fold_and_more_closures.sml @@ -0,0 +1,41 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Fold and More Closures *) + +(* Another hall-of-fame higher-order function *) + +(* note this is "fold left" if order matters + can also do "fold right" *) +fun fold (f,acc,xs) = + case xs of + [] => acc + | x::xs' => fold (f,f(acc,x),xs') + +(* examples not using private data *) + +fun f1 xs = fold ((fn (x,y) => x+y), 0, xs) + +fun f2 xs = fold ((fn (x,y) => x andalso y >= 0), true, xs) + +(* examples using private data *) + +fun f3 (xs,lo,hi) = + fold ((fn (x,y) => + x + (if y >= lo andalso y <= hi then 1 else 0)), + 0, xs) + +fun f4 (xs,s) = + let + val i = String.size s + in + fold((fn (x,y) => x andalso String.size y < i), true, xs) + end + +fun f5 (g,xs) = fold((fn(x,y) => x andalso g y), true, xs) + +fun f4again (xs,s) = + let + val i = String.size s + in + f5(fn y => String.size y < i, xs) + end + diff --git a/Programming Languages/Part A/Unit 3/54_combining_functions.sml b/Programming Languages/Part A/Unit 3/54_combining_functions.sml new file mode 100644 index 0000000..565af73 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/54_combining_functions.sml @@ -0,0 +1,25 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Another Closure Idiom: Combining Functions *) + +fun compose (f,g) = fn x => f (g x) + +fun sqrt_of_abs i = Math.sqrt(Real.fromInt (abs i)) + +fun sqrt_of_abs i = (Math.sqrt o Real.fromInt o abs) i + +val sqrt_of_abs = Math.sqrt o Real.fromInt o abs + +(* tells the parser !> is a function that appears between its two arguments *) +infix !> + +(* operator more commonly written |>, but that confuses the current version + of SML Mode for Emacs, leading to bad editing and formatting *) + +(* definition of the pipeline operator *) +fun x !> f = f x + +fun sqrt_of_abs i = i !> abs !> Real.fromInt !> Math.sqrt + +fun backup1 (f,g) = fn x => case f x of NONE => g x | SOME y => y + +fun backup2 (f,g) = fn x => f x handle _ => g x diff --git a/Programming Languages/Part A/Unit 3/55_currying.sml b/Programming Languages/Part A/Unit 3/55_currying.sml new file mode 100644 index 0000000..8d06f02 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/55_currying.sml @@ -0,0 +1,44 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Another Closure Idiom: Currying *) + +(* old way to get the effect of multiple arguments *) +fun sorted3_tupled (x,y,z) = z >= y andalso y >= x + +val t1 = sorted3_tupled (7,9,11) + +(* new way: currying *) +val sorted3 = fn x => fn y => fn z => z >= y andalso y >= x + +(* alternately: fun sorted3 x = fn y => fn z => z >= y andalso y >= x *) + +val t2 = ((sorted3 7) 9) 11 + +(* syntactic sugar for calling curried functions: optional parentheses *) +val t3 = sorted3 7 9 11 + +(* syntactic sugar for defining curried functions: space between arguments *) +fun sorted3_nicer x y z = z >= y andalso y >= x + +(* more calls that work: *) +val t4 = sorted3_nicer 7 9 11 +val t5 = ((sorted3_nicer 7) 9) 11 + +(* calls that do not work: cannot mix tupling and currying *) +(*val wrong1 = ((sorted3_tupled 7) 9) 11*) +(*val wrong2 = sorted3_tupled 7 9 11*) +(*val wrong3 = sorted3 (7,9,11)*) +(*val wrong4 = sorted3_nicer (7,9,11)*) + +(* a more useful example *) +fun fold f acc xs = (* means fun fold f = fn acc => fn xs => *) + case xs of + [] => acc + | x::xs' => fold f (f(acc,x)) xs' +(* Note: foldl in the ML standard library is very similar, but + the two arguments for the function f are in the opposite order. + The order is, naturally, a matter of taste. +*) + +(* a call to curried fold: will improve this call next *) +fun sum xs = fold (fn (x,y) => x+y) 0 xs + diff --git a/Programming Languages/Part A/Unit 3/56_partial_application.sml b/Programming Languages/Part A/Unit 3/56_partial_application.sml new file mode 100644 index 0000000..ffd4e11 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/56_partial_application.sml @@ -0,0 +1,65 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Partial Application *) + +fun sorted3 x y z = z >= y andalso y >= x + +fun fold f acc xs = (* means fun fold f = fn acc => fn xs => *) + case xs of + [] => acc + | x::xs' => fold f (f(acc,x)) xs' + +(* If a curried function is applied to "too few" arguments, that just returns + a closure, which is often useful -- a powerful idiom (no new semantics) *) + +val is_nonnegative = sorted3 0 0 + +val sum = fold (fn (x,y) => x+y) 0 + +(* In fact, not doing this is often a harder-to-notice version of + unnecessary function wrapping, as in these inferior versions *) + +fun is_nonnegative_inferior x = sorted3 0 0 x + +fun sum_inferior xs = fold (fn (x,y) => x+y) 0 xs + +(* another example *) + +fun range i j = if i > j then [] else i :: range (i+1) j + +val countup = range 1 + +fun countup_inferior x = range 1 x + +(* common style is to curry higher-order functions with function arguments + first to enable convenient partial application *) + +fun exists predicate xs = + case xs of + [] => false + | x::xs' => predicate x orelse exists predicate xs' + +val no = exists (fn x => x=7) [4,11,23] + +val hasZero = exists (fn x => x=0) + +val incrementAll = List.map (fn x => x + 1) + +(* library functions foldl, List.filter, etc. also generally curried: *) + +val removeZeros = List.filter (fn x => x <> 0) + +(* but if you get a strange message about "value restriction", just put back + in the actually-necessary wrapping or an explicit non-polymorphic type *) + +(* does not work for reasons we will not explain here (more later) *) +(* (only an issue will polymorphic functions) *) + +(* val pairWithOne = List.map (fn x => (x,1)) *) + +(* workarounds: *) +fun pairWithOne xs = List.map (fn x => (x,1)) xs + +val pairWithOne : string list -> (string * int) list = List.map (fn x => (x,1)) + +(* this different function works fine because result is not polymorphic *) +val incrementAndPairWithOne = List.map (fn x => (x+1,1)) diff --git a/Programming Languages/Part A/Unit 3/57_currying_wrapup.sml b/Programming Languages/Part A/Unit 3/57_currying_wrapup.sml new file mode 100644 index 0000000..344f88f --- /dev/null +++ b/Programming Languages/Part A/Unit 3/57_currying_wrapup.sml @@ -0,0 +1,23 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Currying Wrapup *) + +(* generic functions to switch how/whether currying is used *) +(* in each case, the type tells you a lot *) + +fun curry f x y = f (x,y) + +fun uncurry f (x,y) = f x y + +fun other_curry1 f = fn x => fn y => f y x + +fun other_curry2 f x y = f y x + +(* example *) + +(* tupled but we wish it were curried *) +fun range (i,j) = if i > j then [] else i :: range(i+1, j) + +(* no problem *) +val countup = curry range 1 + +val xs = countup 7 diff --git a/Programming Languages/Part A/Unit 3/58_mutable_references.sml b/Programming Languages/Part A/Unit 3/58_mutable_references.sml new file mode 100644 index 0000000..7a90603 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/58_mutable_references.sml @@ -0,0 +1,14 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Mutable References *) + +val x = ref 42 + +val y = ref 42 + +val z = x + +val _ = x := 43 + +val w = (!y) + (!z) (* 85 *) + +(* x + 1 does not type-check *) diff --git a/Programming Languages/Part A/Unit 3/59_callbacks.sml b/Programming Languages/Part A/Unit 3/59_callbacks.sml new file mode 100644 index 0000000..d53fccb --- /dev/null +++ b/Programming Languages/Part A/Unit 3/59_callbacks.sml @@ -0,0 +1,31 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Callbacks *) + +(* these two bindings would be internal (private) to the library *) +val cbs : (int -> unit) list ref = ref [] +fun onEvent i = + let fun loop fs = + case fs of + [] => () + | f::fs' => (f i; loop fs') + in loop (!cbs) end + +(* clients call only this function (public interface to the library) *) +fun onKeyEvent f = cbs := f::(!cbs) + +(* some clients where closures are essential + notice different environments use bindings of different types + *) +val timesPressed = ref 0 +val _ = onKeyEvent (fn _ => timesPressed := (!timesPressed) + 1) + +fun printIfPressed i = + onKeyEvent (fn j => if i=j + then print ("you pressed " ^ Int.toString i ^ "\n") + else ()) + +val _ = printIfPressed 4 +val _ = printIfPressed 11 +val _ = printIfPressed 23 +val _ = printIfPressed 4 + diff --git a/Programming Languages/Part A/Unit 3/61_adts_with_closures.sml b/Programming Languages/Part A/Unit 3/61_adts_with_closures.sml new file mode 100644 index 0000000..b7074fa --- /dev/null +++ b/Programming Languages/Part A/Unit 3/61_adts_with_closures.sml @@ -0,0 +1,43 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Optional: Abstract Data Types with Closures *) + +(* a set of ints with three operations *) +(* this interface is immutable -- insert returns a new set -- but we could + also have implemented a mutable version using ML's references *) +(* Note: a 1-constructor datatype is an SML trick for recursive types *) +datatype set = S of { insert : int -> set, + member : int -> bool, + size : unit -> int } + +(* implementation of sets: this is the fancy stuff, but clients using + this abstraction do not need to understand it *) +val empty_set = + let + fun make_set xs = (* xs is a "private field" in result *) + let (* contains a "private method" in result *) + fun contains i = List.exists (fn j => i=j) xs + in + S { insert = fn i => if contains i + then make_set xs + else make_set (i::xs), + member = contains, + size = fn () => length xs + } + end + in + make_set [] + end + +(* example client *) +fun use_sets () = + let val S s1 = empty_set + val S s2 = (#insert s1) 34 + val S s3 = (#insert s2) 34 + val S s4 = #insert s3 19 + in + if (#member s4) 42 + then 99 + else if (#member s4) 19 + then 17 + (#size s3) () + else 0 + end diff --git a/Programming Languages/Part A/Unit 3/62_without_closures.sml b/Programming Languages/Part A/Unit 3/62_without_closures.sml new file mode 100644 index 0000000..5eb5e48 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/62_without_closures.sml @@ -0,0 +1,34 @@ +(* Programming Languages, Dan Grossman *) +(* Section 3: Optional: Closure Idioms Without Closures *) + +(* Note this file is sort of misnamed. It /does/ use closures. It is code + that we will compare to code in Java or C that does not use closures. *) + +(* re-implementation of a list library with map, filter, length *) + +datatype 'a mylist = Cons of 'a * ('a mylist) | Empty + +fun map f xs = + case xs of + Empty => Empty + | Cons(x,xs) => Cons(f x, map f xs) + +fun filter f xs = + case xs of + Empty => Empty + | Cons(x,xs) => if f x then Cons(x,filter f xs) else filter f xs + +fun length xs = + case xs of + Empty => 0 + | Cons(_,xs) => 1 + length xs + +(* One fine way to double all numbers in a list *) + +val doubleAll = map (fn x => x * 2) + +(* One way to count Ns in a list *) + +fun countNs (xs, n : int) = length (filter (fn x => x=n) xs) + + diff --git a/Programming Languages/Part A/Unit 3/63_java_without_closures.java b/Programming Languages/Part A/Unit 3/63_java_without_closures.java new file mode 100644 index 0000000..b617847 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/63_java_without_closures.java @@ -0,0 +1,69 @@ +// Programming Languages, Dan Grossman +// Section 3: Optional: Closure Idioms Without Closures in Java + +// Note: This code compiles but has not been carefully tested. +// Bug reports welcome. + + +interface Func { + B m(A x); +} +interface Pred { + boolean m(A x); +} + +class List { + T head; + List tail; + List(T x, List xs) { + head = x; + tail = xs; + } + + // * the advantage of a static method is it allows xs to be null + // -- a more OO way would be a subclass for empty lists + // * a more efficient way in Java would be a messy while loop + // where you keep a pointer to the previous element and mutate it + // -- (try it if you do not believe it is messy) + static List map(Func f, List xs) { + if(xs==null) + return null; + return new List(f.m(xs.head), map(f,xs.tail)); + } + + static List filter(Pred f, List xs) { + if(xs==null) + return null; + if(f.m(xs.head)) + return new List(xs.head, filter(f,xs.tail)); + return filter(f,xs.tail); + } + + // * again recursion would be more elegant but less efficient + // * again an instance method would be more common, but then + // all clients have to special-case null + static int length(List xs) { + int ans = 0; + while(xs != null) { + ++ans; + xs = xs.tail; + } + return ans; + } +} + +class ExampleClients { + static List doubleAll(List xs) { + return List.map((new Func() { + public Integer m(Integer x) { return x * 2; } + }), + xs); + } + static int countNs(List xs, final int n) { + return List.length(List.filter( + (new Pred() { + public boolean m(Integer x) { return x==n; } + }), + xs)); + } +} diff --git a/Programming Languages/Part A/Unit 3/64_c_without_closures.c b/Programming Languages/Part A/Unit 3/64_c_without_closures.c new file mode 100644 index 0000000..81fffc7 --- /dev/null +++ b/Programming Languages/Part A/Unit 3/64_c_without_closures.c @@ -0,0 +1,115 @@ +// Programming Languages, Dan Grossman +// Section 3: Optional: Closure Idioms Without Closures in C + +// Note: This code compiles but has not been carefully tested. +// Bug reports welcome. + +#include +#include +#include + +// The key point is that function pointers are only code pointers + +// Rather than create structs for closures, which would work fine, +// we follow common C practice of having higher-order functions +// take explicit environment fields as another argument +// -- if they don't, then they are much less useful + +// void* requires lots of unchecked conversions between types, +// but C has no notion of type variables + +typedef struct List list_t; +struct List { + void * head; + list_t * tail; +}; + +list_t * makelist (void * x, list_t * xs) { + list_t * ans = (list_t *)malloc(sizeof(list_t)); + ans->head = x; + ans->tail = xs; + return ans; +} + +// as in the Java version, we show simple recursive solutions because +// the loop-based ones require mutation and previous pointers. +// But the more important point is the explicit env field passed to the +// function pointer +list_t * map(void* (*f)(void*,void*), void* env, list_t * xs) { + if(xs==NULL) + return NULL; + return makelist(f(env,xs->head), map(f,env,xs->tail)); +} + +list_t * filter(bool (*f)(void*,void*), void* env, list_t * xs) { + if(xs==NULL) + return NULL; + if(f(env,xs->head)) + return makelist(xs->head, filter(f,env,xs->tail)); + return filter(f,env,xs->tail); +} + +int length(list_t* xs) { + int ans = 0; + while(xs != NULL) { + ++ans; + xs = xs->tail; + } + return ans; +} + +// clients of our list implementation: +// [the clients that cast from void* to intptr_t are technically not legal C, +// as explained in detail below if curious] + +// awful type casts to match what map expects +void* doubleInt(void* ignore, void* i) { + return (void*)(((intptr_t)i)*2); +} + +// assumes list holds intptr_t fields +list_t * doubleAll(list_t * xs) { + return map(doubleInt, NULL, xs); +} + +// awful type casts to match what filter expects +bool isN(void* n, void* i) { + return ((intptr_t)n)==((intptr_t)i); +} + +// assumes list hold intptr_t fields +int countNs(list_t * xs, intptr_t n) { + return length(filter(isN, (void*)n, xs)); +} + +/* + The promised explanation: Some of the client code above tries to use + a number for the environment by using a number (intptr_t) where a + pointer (void *) is expected. This is technically not allowed: any + pointer (including void*) can be cast to intptr_t (always) and the + result can be cast back to the pointer type, but that is different + than starting with an intptr_t and casting it to void* and then back + to intptr_t. + + It appears there is no legal, portable way to create a number that + can be cast to void* and back. People do this sort of thing often, + but the resulting code is not strictly portable. So what should we + do for our closures example besides ignore this and write + non-portable code using int or intptr_t? + + Option 1 is to use an int* for the environment, passing a pointer to the + value we need. That is the most common approach and what we need to do for + environments with more than one value in them anyway. For the examples above, + it would work to pass the address of a stack-allocated int, but that works + only because the higher-order functions we are calling will not store those + pointers in places where they might be used later after the stack variable + is deallocated. So it works fine for examples like map and filter, but would + not work for callback idioms. For those, the pointer should refer to memory + returned by malloc or a similar library function. + + Option 2 is to change our approach to have the higher-order functions use + intptr_t for the type of the environment instead of void*. This works in + general since other code can portably cast from any pointer type to + intptr_t. It is a less standard approach -- one commonly sees void* used + as we have in the code above. +*/ diff --git a/Programming Languages/Part A/Unit 3/section3sum.pdf b/Programming Languages/Part A/Unit 3/section3sum.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d2887c9dfc244e416de442d2d4855b5360a1c6c7 GIT binary patch literal 231309 zcmY!laBR8|4K70k1BLvgEG`=x1^r+JefRv3d-?%qdANQqXtHNi0cqNlngA zN#(M$<0>vGN=?k=s<`zw%6sx{GogLY!&ek7TBW1&QR&29%epI8sq14urW8lKXLJr! zJ~m|q(@Dwm`|szO{J78&mUcSwc>hih298G`Ywz~vZK&V%<6-{!%1sZtJg0UXJ(_l~ z^pMXo@wVeS)6xnz#{IFb3MyZxIVX1Al8YCm!{aS?-=6wgJF6n|d-&YFT2iZm-aoC^ ztBYG=_&7*EEXHVYkkp&piQ7~6F5frl-@UTkb4$1X;L|ywV>C@w>EPEj6^kO&#I+S8 z=X4pkWPi_oJ#ChIwuHjjMax|$@BY-l{J(bRB_~($+nW}q`%2WPZniizJ<8>4>BCtD zGw1mn+dRc{XGf-3czO8kth_+44H9uYe{bbFCYzUqUzlQjTWsAH(W^Pm=T|D5gs|$_ z=3DP?{qU`Hr{14OPWd;KzRDfDe{-sPscHyMi{iRDsaBk)KN$bAef=VK&EsWFg0tO! z=pC>9yy9Dj=!Xfx+ne)qZzVMZxtpi%UOFj%YvqcIzZO_CH;DGfZMpK!eOvXaobFc+ zOSdiizrpp5u-b;{b+cnD>=!KRceorV>9*y|_U-5TQ*M8<`jUU^ww8#Xwu>6ygcl5) z>kgjC$o^{`u;^sZ3_rHBvu_0+e9tT={(GCuiNmEwjvgGxq9h|4!t!Lf*l~Qlj ztF?wPU#oMm`BZV^*Wz5~GkhkoTn~zNOt{W>)KmHv&z8d}f3tt@`pU)c+Ryn#NoPS~ ztXbuC6Be;6`s@$6y-qg;$hcX{G$e#^@oq?b)PD6rtb@sH1c21kC2e7^hpea&A+ zVLH8=pN#{FAs{hhdVY>roL|IT9CxUfymwk&*w#JrQ1Swd%7 zp4YRQ#>)jRpVM(>gN5V+!E}qtW`XNh->xfb&z&j!OZ-Mf^#`sH6Zc)p{*l3rra#@+ zaLO7lowR?#R{zD>Y#DuR={F|YFn@Vm`?isB$!>=0#}@C1DcmyGX4d555BrS{?~gjN z&mwuL<>ZeI%dHMyU;n#yqPVZKo$|@O@1D+!s&n=&_*UT1U3O}&V8Fj~D`yAJG)bP+ z{X5{pDY;qJ?B93KSiMU2&o|9`D-+#bv@1XSzslataIFvjCOhYQ`m8KwzYDH?-^S

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