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| author | Shinya Sato <shinnya.sato@gmail.com> | 2022-12-29 23:37:35 +0900 |
|---|---|---|
| committer | Shinya Sato <shinnya.sato@gmail.com> | 2022-12-29 23:37:35 +0900 |
| commit | 984328ee471ecc8e2689348a7d60ef2bed18159c (patch) | |
| tree | 547f6a2e5946fa2d699b4ec945661a7ab0fb6932 /sample/reduce.in | |
| parent | 47000121994e8f10a3b89691856d99e917e7226d (diff) | |
| download | inpla-984328ee471ecc8e2689348a7d60ef2bed18159c.tar.gz inpla-984328ee471ecc8e2689348a7d60ef2bed18159c.zip | |
v10.0.2
Diffstat (limited to '')
| -rw-r--r-- | sample/reduce.in | 57 |
1 files changed, 57 insertions, 0 deletions
diff --git a/sample/reduce.in b/sample/reduce.in new file mode 100644 index 0000000..90ba145 --- /dev/null +++ b/sample/reduce.in @@ -0,0 +1,57 @@ +// foldr, foldl functions + + +// target functions +// Here, we use built-in agents Add and Sub + + +// -------------------------------------------------------------------- +// foldr f v [x0, x1, ..., xn] = f(x0, f(x1, ... f(xn-1, f(xn, v))...)) +// -------------------------------------------------------------------- +foldr(r, f, v) >< x:xs => foldr_Cons(r,f,v,x)~xs; +foldr_Cons(r,f,v,x) >< [] => f~((r,x),v); +foldr_Cons(r,f,v,x) >< y:ys => + Dup(f1,f2)~f, + foldr(w, f2, v)~y:ys, + f1~((r,x),w); + +// -------------------------------------------------------------------- +// foldl f v [x0, x1, ..., xn] = f( ... f(f(v,x0),x1) ..., xn) +// -------------------------------------------------------------------- +foldl(r, f, v) >< x:xs => foldl_Cons(r,f,v,x)~xs; +foldl_Cons(r,f,v,x) >< [] => f~((r,v),x); +foldl_Cons(r,f,v,x) >< y:ys => + Dup(f1,f2)~f, + f1~((w,v),x), + foldl(r, f2, w)~y:ys; + + + + +// ---------- main ---------- + +// foldr f v [x0, x1, ..., xn] = f(x0, f(x1, ... f(xn-1, f(xn, v))...)) +// foldr plus 10 [1,2,3] = plus(1, plus(2, plus(3, 10))) = 16 + +foldr(r, %Add, 10) ~ [1,2,3]; +r; free r; // r ->16 + + +// foldr subt 1 [30,20,10] = subt(30, subt(20, subt(10, 1))) +// = 30-(20-(10-1)) = 30-(20-9) = 30-11 = 19 + +foldr(r, %Sub, 1) ~ [30,20,10]; +r; free r; // r ->19 + + + +// foldl f v [x0, x1, ..., xn] = f( ... f(f(v,x0),x1) ..., xn) +// foldl plus 10 [1,2,3] = plus(3, plus(2, plus(1, 10))) = 16 + +foldl(r, %Add, 10) ~ [1,2,3]; +r; free r; // r ->16 + + +// foldl subt 10 [1,2,3] = subt(subt(subt(10,1),2),3) = ((10-1)-2)-3 = 4 +foldl(r, %Sub, 10) ~ [1,2,3]; +r; free r; // r ->4 |
