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Ingy döt Net 2023-07-01 11:58:00 -04:00
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---
category:
- Recursion
from: http://rosettacode.org/wiki/Man_or_boy_test
note: Classic CS problems and programs

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<br>
'''Background''': The '''man or boy test''' was proposed by computer scientist [[wp:Donald_Knuth|Donald Knuth]] as a means of evaluating implementations of the [[:Category:ALGOL 60|ALGOL 60]] programming language. The aim of the test was to distinguish compilers that correctly implemented "recursion and non-local references" from those that did not.
<blockquote style="font-style:italic">
I have written the following simple routine, which may separate the 'man-compilers' from the 'boy-compilers'<br> &mdash; <span style="font-style:normal">Donald Knuth</span></blockquote>
'''Task''': Imitate [[#ALGOL 60 - Knuth's example|Knuth's example in Algol 60]] in another language, as far as possible.
'''Details''': Local variables of routines are often kept in [http://c2.com/cgi/wiki?ActivationRecord ''activation records''] (also ''call frames''). In many languages, these records are kept on a [[System stack|call stack]]. In Algol (and e.g. in [[Smalltalk]]), they are allocated on a [[heap]] instead. Hence it is possible to pass references to routines that still can use and update variables from their call environment, even if the routine where those variables are declared already returned. This difference in implementations is sometimes called the [[wp:Funarg_problem|Funarg Problem]].
In Knuth's example, each call to ''A'' allocates an activation record for the variable ''A''. When ''B'' is called from ''A'', any access to ''k'' now refers to this activation record. Now ''B'' in turn calls ''A'', but passes itself as an argument. This argument remains bound to the activation record. This call to ''A'' also "shifts" the variables ''x<sub>i</sub>'' by one place, so eventually the argument ''B'' (still bound to its particular
activation record) will appear as ''x4'' or ''x5'' in a call to ''A''. If this happens when the expression ''x4 + x5'' is evaluated, then this will again call ''B'', which in turn will update ''k'' in the activation record it was originally bound to. As this activation record is shared with other instances of calls to ''A'' and ''B'', it will influence the whole computation.
So all the example does is to set up a convoluted calling structure, where updates to ''k'' can influence the behavior
in completely different parts of the call tree.
Knuth used this to test the correctness of the compiler, but one can of course also use it to test that other languages can emulate the Algol behavior correctly. If the handling of activation records is correct, the computed value will be &minus;67.
'''Performance and Memory''': Man or Boy is intense and can be pushed to challenge any machine. Memory (both stack and heap) not CPU time is the constraining resource as the recursion creates a proliferation activation records which will quickly exhaust memory and present itself through a stack error. Each language may have ways of adjusting the amount of memory or increasing the recursion depth. Optionally, show how you would make such adjustments.
The table below shows the result, call depths, and total calls for a range of ''k'':
{| class="wikitable" style="font-size: 85%"
! ''k''
! 0
! 1
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
! 14
! 15
! 16
! 17
! 18
! 19
! 20
! 21
! 22
! 23
! 24
! 25
! 26
! 27
! 28
! 29
! 30
|-
! ''A''
|align="right"| 1
|align="right"| 0
|align="right"| -2
|align="right"| 0
|align="right"| 1
|align="right"| 0
|align="right"| 1
|align="right"| -1
|align="right"| -10
|align="right"| -30
|align="right"| -67
|align="right"| -138
|align="right"| -291
|align="right"| -642
|align="right"| -1,446
|align="right"| -3,250
|align="right"| -7,244
|align="right"| -16,065
|align="right"| -35,601
|align="right"| -78,985
|align="right"| -175,416
|align="right"| -389,695
|align="right"| -865,609
|align="right"| -1,922,362
|align="right"| -4,268,854
|align="right"| -9,479,595
|align="right"| -21,051,458
|align="right"| -46,750,171
|align="right"| -103,821,058
|align="right"| -230,560,902
|align="right"| -512,016,658
|-
! ''A'' called
|align="right"| 1
|align="right"| 2
|align="right"| 3
|align="right"| 4
|align="right"| 8
|align="right"| 18
|align="right"| 38
|align="right"| 80
|align="right"| 167
|align="right"| 347
|align="right"| 722
|align="right"| 1,509
|align="right"| 3,168
|align="right"| 6,673
|align="right"| 14,091
|align="right"| 29,825
|align="right"| 63,287
|align="right"| 134,652
|align="right"| 287,264
|align="right"| 614,442
|align="right"| 1,317,533
|align="right"| 2,831,900
|align="right"| 6,100,852
|align="right"| 13,172,239
|align="right"| 28,499,827
|align="right"| 61,786,266
|align="right"| 134,202,509
|align="right"| 292,011,464
|&nbsp;
|&nbsp;
|&nbsp;
|-
! ''A'' depth
|align="right"| 1
|align="right"| 2
|align="right"| 3
|align="right"| 4
|align="right"| 8
|align="right"| 16
|align="right"| 32
|align="right"| 64
|align="right"| 128
|align="right"| 256
|align="right"| 512
|align="right"| 1,024
|align="right"| 2,048
|align="right"| 4,096
|align="right"| 8,192
|align="right"| 16,384
|align="right"| 32,768
|align="right"| 65,536
|align="right"| 131,072
|align="right"| 262,144
|align="right"| 524,288
|align="right"| 1,048,576
|align="right"| 2,097,152
|align="right"| 4,194,304
|align="right"| 8,388,608
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|-
! ''B'' called
|align="right"| 0
|align="right"| 1
|align="right"| 2
|align="right"| 3
|align="right"| 7
|align="right"| 17
|align="right"| 37
|align="right"| 79
|align="right"| 166
|align="right"| 346
|align="right"| 721
|align="right"| 1,508
|align="right"| 3,167
|align="right"| 6,672
|align="right"| 14,090
|align="right"| 29,824
|align="right"| 63,286
|align="right"| 134,651
|align="right"| 287,263
|align="right"| 614,441
|align="right"| 1,317,532
|align="right"| 2,831,899
|align="right"| 6,100,851
|align="right"| 13,172,238
|align="right"| 28,499,826
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|-
! ''B'' depth
|align="right"| 0
|align="right"| 1
|align="right"| 2
|align="right"| 3
|align="right"| 7
|align="right"| 15
|align="right"| 31
|align="right"| 63
|align="right"| 127
|align="right"| 255
|align="right"| 511
|align="right"| 1,023
|align="right"| 2,047
|align="right"| 4,095
|align="right"| 8,191
|align="right"| 16,383
|align="right"| 32,767
|align="right"| 65,535
|align="right"| 131,071
|align="right"| 262,143
|align="right"| 524,287
|align="right"| 1,048,575
|align="right"| 2,097,151
|align="right"| 4,194,303
|align="right"| 8,388,607
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|}
<br>
;Related tasks:
* &nbsp; [[Jensen's Device]]
<br>

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PROC a = (INT in k, PROC INT xl, x2, x3, x4, x5) INT:(
INT k := in k;
PROC b = INT: a(k-:=1, b, xl, x2, x3, x4);
( k<=0 | x4 + x5 | b )
);
test:(
printf(($gl$,a(10, INT:1, INT:-1, INT:-1, INT:1, INT:0)))
)

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begin
real procedure A (integer value k; real procedure x1, x2, x3, x4, x5);
begin
real procedure B;
begin k:= k - 1;
A (k, B, x1, x2, x3, x4)
end;
if k <= 0 then x4 + x5 else B
end;
write (r_format := "A", r_w := 8, r_d := 2, A (10, 1, -1, -1, 1, 0))
end.

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with Ada.Text_IO; use Ada.Text_IO;
procedure Man_Or_Boy is
function Zero return Integer is begin return 0; end Zero;
function One return Integer is begin return 1; end One;
function Neg return Integer is begin return -1; end Neg;
function A
( K : Integer;
X1, X2, X3, X4, X5 : access function return Integer
) return Integer is
M : Integer := K; -- K is read-only in Ada. Here is a mutable copy of
function B return Integer is
begin
M := M - 1;
return A (M, B'Access, X1, X2, X3, X4);
end B;
begin
if M <= 0 then
return X4.all + X5.all;
else
return B;
end if;
end A;
begin
Put_Line
( Integer'Image
( A
( 10,
One'Access, -- Returns 1
Neg'Access, -- Returns -1
Neg'Access, -- Returns -1
One'Access, -- Returns 1
Zero'Access -- Returns 0
) ) );
end Man_Or_Boy;

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with Ada.Text_IO; use Ada.Text_IO;
procedure Man_Or_Boy is
function Zero return Integer is (0);
function One return Integer is (1);
function Neg return Integer is (-1);
function A
(K : Integer;
X1, X2, X3, X4, X5 : access function return Integer)
return Integer is
M : Integer := K; -- K is read-only in Ada. Here is a mutable copy of
function B return Integer is
begin
M := M - 1;
return A (M, B'Access, X1, X2, X3, X4);
end B;
begin
return (if M <= 0 then X4.all + X5.all else B);
end A;
begin
Put_Line
(Integer'Image
(A (K => 10,
X1 => One'Access,
X2 => Neg'Access,
X3 => Neg'Access,
X4 => One'Access,
X5 => Zero'Access)));
end Man_Or_Boy;

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with Ada.Text_IO;
use Ada.Text_IO;
procedure Man_Or_Boy is
function Zero return Integer is ( 0);
function One return Integer is ( 1);
function Neg return Integer is (-1);
function A (K: Integer;
X1, X2, X3, X4, X5: access function return Integer) return Integer is
M : Integer := K; -- K is read-only in Ada. Here is a mutable copy of K
Res_A: Integer;
function B return Integer is
begin
M := M - 1;
Res_A := A (M, B'Access, X1, X2, X3, X4); -- set result of A
return Res_A;
end B;
begin
if M <= 0 then
return X4.all + X5.all;
else
declare
Dummy: constant Integer := B; -- throw away
begin
return Res_A;
end;
end if;
end A;
begin
Put_Line (Integer'Image (A (K => 10,
X1 => One 'Access,
X2 => Neg 'Access,
X3 => Neg 'Access,
X4 => One 'Access,
X5 => Zero'Access)));
end Man_Or_Boy;

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integer
F(list l)
{
l[1];
}
integer
eval(list l)
{
l[0](l);
}
integer A(list);
integer
B(list l)
{
A(list(B, l[1] = l[1] - 1, l, l[-5], l[-4], l[-3], l[-2]));
}
integer
A(list l)
{
integer x;
if (l[1] < 1) {
x = eval(l[-2]) + eval(l[-1]);
} else {
x = B(l);
}
x;
}
integer
main(void)
{
list f1, f0, fn1;
l_append(f1, F);
l_append(f1, 1);
l_append(f0, F);
l_append(f0, 0);
l_append(fn1, F);
l_append(fn1, -1);
o_(A(list(B, 10, f1, fn1, fn1, f1, f0)), "\n");
0;
}

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on a(k, x1, x2, x3, x4, x5)
script b
set k to k - 1
return a(k, b, x1, x2, x3, x4)
end script
if k 0 then
return (run x4) + (run x5)
else
return (run b)
end if
end a
on int(x)
script s
return x
end script
return s
end int
a(10, int(1), int(-1), int(-1), int(1), int(0))

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HIMEM = PAGE + 200000000 : REM Increase recursion depth
FOR k% = 0 TO 20
PRINT FNA(k%, ^FN1(), ^FN_1(), ^FN_1(), ^FN1(), ^FN0())
NEXT
END
DEF FNA(k%, x1%, x2%, x3%, x4%, x5%)
IF k% <= 0 THEN = FN(x4%)(x4%) + FN(x5%)(x5%)
LOCAL b{}
DIM b{fn%, k%, x1%, x2%, x3%, x4%, x5%}
b.fn% = !^FNB()
b.k% = k%
b.x1% = x1%
b.x2% = x2%
b.x3% = x3%
b.x4% = x4%
b.x5% = x5%
DEF FNB(!(^b{}+4))
b.k% -= 1
= FNA(b.k%, b{}, b.x1%, b.x2%, b.x3%, b.x4%)
DEF FN0(d%) = 0
DEF FN1(d%) = 1
DEF FN_1(d%) = -1

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#include <iostream>
#include <tr1/memory>
using std::tr1::shared_ptr;
using std::tr1::enable_shared_from_this;
struct Arg {
virtual int run() = 0;
virtual ~Arg() { };
};
int A(int, shared_ptr<Arg>, shared_ptr<Arg>, shared_ptr<Arg>,
shared_ptr<Arg>, shared_ptr<Arg>);
class B : public Arg, public enable_shared_from_this<B> {
private:
int k;
const shared_ptr<Arg> x1, x2, x3, x4;
public:
B(int _k, shared_ptr<Arg> _x1, shared_ptr<Arg> _x2, shared_ptr<Arg> _x3,
shared_ptr<Arg> _x4)
: k(_k), x1(_x1), x2(_x2), x3(_x3), x4(_x4) { }
int run() {
return A(--k, shared_from_this(), x1, x2, x3, x4);
}
};
class Const : public Arg {
private:
const int x;
public:
Const(int _x) : x(_x) { }
int run () { return x; }
};
int A(int k, shared_ptr<Arg> x1, shared_ptr<Arg> x2, shared_ptr<Arg> x3,
shared_ptr<Arg> x4, shared_ptr<Arg> x5) {
if (k <= 0)
return x4->run() + x5->run();
else {
shared_ptr<Arg> b(new B(k, x1, x2, x3, x4));
return b->run();
}
}
int main() {
std::cout << A(10, shared_ptr<Arg>(new Const(1)),
shared_ptr<Arg>(new Const(-1)),
shared_ptr<Arg>(new Const(-1)),
shared_ptr<Arg>(new Const(1)),
shared_ptr<Arg>(new Const(0))) << std::endl;
return 0;
}

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#include <functional>
#include <iostream>
typedef std::function<int()> F;
static int A(int k, const F &x1, const F &x2, const F &x3, const F &x4, const F &x5)
{
F B = [=, &k, &B]
{
return A(--k, B, x1, x2, x3, x4);
};
return k <= 0 ? x4() + x5() : B();
}
static F L(int n)
{
return [n] { return n; };
}
int main()
{
std::cout << A(10, L(1), L(-1), L(-1), L(1), L(0)) << std::endl;
return 0;
}

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#include <tr1/functional>
#include <iostream>
typedef std::tr1::function<int()> F;
static int A(int k, const F &x1, const F &x2, const F &x3, const F &x4, const F &x5);
struct B_class {
int &k;
const F x1, x2, x3, x4;
B_class(int &_k, const F &_x1, const F &_x2, const F &_x3, const F &_x4) :
k(_k), x1(_x1), x2(_x2), x3(_x3), x4(_x4) { }
int operator()() const { return A(--k, *this, x1, x2, x3, x4); }
};
static int A(int k, const F &x1, const F &x2, const F &x3, const F &x4, const F &x5)
{
F B = B_class(k, x1, x2, x3, x4);
return k <= 0 ? x4() + x5() : B();
}
struct L {
const int n;
L(int _n) : n(_n) { }
int operator()() const { return n; }
};
int main()
{
std::cout << A(10, L(1), L(-1), L(-1), L(1), L(0)) << std::endl;
return 0;
}

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using System;
delegate T Func<T>();
class ManOrBoy
{
static void Main()
{
Console.WriteLine(A(10, C(1), C(-1), C(-1), C(1), C(0)));
}
static Func<int> C(int i)
{
return delegate { return i; };
}
static int A(int k, Func<int> x1, Func<int> x2, Func<int> x3, Func<int> x4, Func<int> x5)
{
Func<int> b = null;
b = delegate { k--; return A(k, b, x1, x2, x3, x4); };
return k <= 0 ? x4() + x5() : b();
}
}

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using System;
class ManOrBoy
{
static void Main()
{
Console.WriteLine(A(10, () => 1, () => -1, () => -1, () => 1, () => 0));
}
static int A(int k, Func<int> x1, Func<int> x2, Func<int> x3, Func<int> x4, Func<int> x5)
{
Func<int> b = null;
b = () => { k--; return A(k, b, x1, x2, x3, x4); };
return k <= 0 ? x4() + x5() : b();
}
}

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/* man-or-boy.c */
#include <stdio.h>
#include <stdlib.h>
// --- thunks
typedef struct arg
{
int (*fn)(struct arg*);
int *k;
struct arg *x1, *x2, *x3, *x4, *x5;
} ARG;
// --- lambdas
int f_1 (ARG* _) { return -1; }
int f0 (ARG* _) { return 0; }
int f1 (ARG* _) { return 1; }
// --- helper
int eval(ARG* a) { return a->fn(a); }
#define MAKE_ARG(...) (&(ARG){__VA_ARGS__})
#define FUN(...) MAKE_ARG(B, &k, __VA_ARGS__)
int A(ARG*);
// --- functions
int B(ARG* a)
{
int k = *a->k -= 1;
return A(FUN(a, a->x1, a->x2, a->x3, a->x4));
}
int A(ARG* a)
{
return *a->k <= 0 ? eval(a->x4) + eval(a->x5) : B(a);
}
int main(int argc, char **argv)
{
int k = argc == 2 ? strtol(argv[1], 0, 0) : 10;
printf("%d\n", A(FUN(MAKE_ARG(f1), MAKE_ARG(f_1), MAKE_ARG(f_1),
MAKE_ARG(f1), MAKE_ARG(f0))));
return 0;
}

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#include <stdio.h>
#define INT(body) ({ int lambda(){ body; }; lambda; })
main(){
int a(int k, int xl(), int x2(), int x3(), int x4(), int x5()){
int b(){
return a(--k, b, xl, x2, x3, x4);
}
return k<=0 ? x4() + x5() : b();
}
printf(" %d\n",a(10, INT(return 1), INT(return -1), INT(return -1), INT(return 1), INT(return 0)));
}

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#include <stdio.h>
#include <stdlib.h>
typedef struct frame
{
int (*fn)(struct frame*);
union { int constant; int* k; } u;
struct frame *x1, *x2, *x3, *x4, *x5;
} FRAME;
FRAME* Frame(FRAME* f, int* k, FRAME* x1, FRAME* x2, FRAME *x3, FRAME *x4, FRAME *x5)
{
f->u.k = k;
f->x1 = x1;
f->x2 = x2;
f->x3 = x3;
f->x4 = x4;
f->x5 = x5;
return f;
}
int F(FRAME* a) { return a->u.constant; }
int eval(FRAME* a) { return a->fn(a); }
int A(FRAME*);
int B(FRAME* a)
{
int k = (*a->u.k -= 1);
FRAME b = { B };
return A(Frame(&b, &k, a, a->x1, a->x2, a->x3, a->x4));
}
int A(FRAME* a)
{
return *a->u.k <= 0 ? eval(a->x4) + eval(a->x5) : B(a);
}
int main(int argc, char** argv)
{
int k = argc == 2 ? strtol(argv[1], 0, 0) : 10;
FRAME a = { B }, f1 = { F, { 1 } }, f0 = { F, { 0 } }, fn1 = { F, { -1 } };
printf("%d\n", A(Frame(&a, &k, &f1, &fn1, &fn1, &f1, &f0)));
return 0;
}

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Procedure Main()
Local k
For k := 0 to 20
? "A(", k, ", 1, -1, -1, 1, 0) =", A(k, 1, -1, -1, 1, 0)
Next
Return
Static Function A(k, x1, x2, x3, x4, x5)
Local ARetVal
Local B := {|| --k, ARetVal := A(k, B, x1, x2, x3, x4) }
If k <= 0
ARetVal := Evaluate(x4) + Evaluate(x5)
Else
B:Eval()
Endif
Return ARetVal
Static Function Evaluate(x)
Local xVal
If ValType(x) == "B"
xVal := x:Eval()
Else
xVal := x
Endif
Return xVal

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(declare a)
(defn man-or-boy
"Man or boy test for Clojure"
[k]
(let [k (atom k)]
(a k
(fn [] 1)
(fn [] -1)
(fn [] -1)
(fn [] 1)
(fn [] 0))))
(defn a
[k x1 x2 x3 x4 x5]
(let [k (atom @k)]
(letfn [(b []
(swap! k dec)
(a k b x1 x2 x3 x4))]
(if (<= @k 0)
(+ (x4) (x5))
(b)))))
(man-or-boy 10)

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(defun man-or-boy (x)
(a x (lambda () 1)
(lambda () -1)
(lambda () -1)
(lambda () 1)
(lambda () 0)))
(defun a (k x1 x2 x3 x4 x5)
(labels ((b ()
(decf k)
(a k #'b x1 x2 x3 x4)))
(if (<= k 0)
(+ (funcall x4) (funcall x5))
(b))))
(man-or-boy 10)

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def a(k, x1, x2, x3, x4, x5)
b = uninitialized -> typeof(k)
b = ->() { k -= 1; a(k, b, x1, x2, x3, x4) }
k <= 0 ? x4.call + x5.call : b.call
end
puts a(10, -> {1}, -> {-1}, -> {-1}, -> {1}, -> {0})

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import core.stdc.stdio: printf;
int a(int k, const lazy int x1, const lazy int x2, const lazy int x3,
const lazy int x4, const lazy int x5) pure {
int b() {
k--;
return a(k, b(), x1, x2, x3, x4);
}
return k <= 0 ? x4 + x5 : b();
}
void main() {
printf("%d\n", a(10, 1, -1, -1, 1, 0));
}

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@ -0,0 +1,14 @@
int A(int k, int delegate() nothrow @safe[] x...) nothrow @safe {
int b() nothrow @safe {
k--;
return A(k, &b, x[0], x[1], x[2], x[3]);
}
return (k > 0) ? b() : x[3]() + x[4]();
}
void main() {
import std.stdio;
A(10, 1, -1, -1, 1, 0).writeln;
}

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@ -0,0 +1,28 @@
auto mb(T)(T mob) nothrow @safe { // Embeding function.
int b() nothrow @safe @nogc {
static if (is(T == int))
return mob;
else
return mob();
}
return &b;
}
int A(T)(int k, T x1, T x2, T x3, T x4, T x5) nothrow @safe {
static if (is(T == int)) {
return A(k, mb(x1), mb(x2), mb(x3), mb(x4), mb(x5));
} else {
int b() nothrow @safe {
k--;
return A(k, &b, x1, x2, x3, x4);
}
return (k <= 0) ? x4() + x5() : b();
}
}
void main() {
import std.stdio;
A(10, 1, -1, -1, 1, 0).writeln;
}

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@ -0,0 +1,40 @@
import std.stdio;
interface B {
int run();
}
int A(int k, int x1, int x2, int x3, int x4, int x5) {
B mb(int a) {
return new class() B {
int run() {
return a;
}
};
}
return A(k, mb(x1), mb(x2), mb(x3), mb(x4), mb(x5));
}
int A(int k, B x1, B x2, B x3, B x4, B x5) {
if (k <= 0) {
return x4.run() + x5.run();
} else {
return (new class() B {
int m;
this() {
this.m = k;
}
int run() {
m--;
return A(m, this, x1, x2, x3, x4);
}
}).run();
}
}
void main() {
writeln(A(10, 1, -1, -1, 1, 0));
}

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@ -0,0 +1,57 @@
import std.bigint, std.functional;
// Adapted from C code by Goran Weinholt, adapted from Knuth code.
BigInt A(in int k, in int x1, in int x2, in int x3,
in int x4, in int x5) {
static struct Inner {
static BigInt c1_(in int k) {
if (k > 5)
return c1(k - 1) + c2(k - 1);
static immutable t = [0, 0, 0, 1, 2, 3];
return t[k].BigInt;
}
alias c1 = memoize!c1_;
static BigInt c2_(in int k) {
if (k > 5)
return c2(k - 1) + c3(k - 1);
static immutable t = [0, 0, 1, 1, 1, 2];
return t[k].BigInt;
}
alias c2 = memoize!c2_;
static BigInt c3_(in int k) {
if (k > 5)
return c3(k - 1) + c4(k);
static immutable t = [0, 1, 1, 0, 0, 1];
return t[k].BigInt;
}
alias c3 = memoize!c3_;
static BigInt c4_(in int k) {
if (k > 5)
return c1(k - 1) + c4(k - 1) - 1;
static immutable t = [1, 1, 0, 0, 0, 0];
return t[k].BigInt;
}
alias c4 = memoize!c4_;
static int c5(in int k) pure nothrow {
return !!k;
}
}
with (Inner)
return c1(k) * x1 + c2(k) * x2 + c3(k) * x3 +
c4(k) * x4 + c5(k) * x5;
}
void main() {
import std.stdio, std.conv, std.range;
foreach (immutable i; 0 .. 40)
writeln(i, " ", A(i, 1, -1, -1, 1, 0));
writefln("...\n500 %-(%s\\\n %)",
A(500, 1, -1, -1, 1, 0).text.chunks(60));
}

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@ -0,0 +1,29 @@
type
TFunc<T> = reference to function: T;
function C(x: Integer): TFunc<Integer>;
begin
Result := function: Integer
begin
Result := x;
end;
end;
function A(k: Integer; x1, x2, x3, x4, x5: TFunc<Integer>): Integer;
var
b: TFunc<Integer>;
begin
b := function: Integer
begin
Dec(k);
Result := A(k, b, x1, x2, x3, x4);
end;
if k <= 0 then
Result := x4 + x5
else
Result := b;
end;
begin
Writeln(A(10, C(1), C(-1), C(-1), C(1), C(0))); // -67 output
end.

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@ -0,0 +1,21 @@
func _C(i) {
() => i
}
func _A(k, x1, x2, x3, x4, x5) {
var b
b = () => {
k -= 1
_A(k, b, x1, x2, x3, x4)
}
if k <= 0 {
x4() + x5()
} else {
b()
}
}
for i in 1..20 {
let res = _A(i, _C(1), _C(-1), _C(-1), _C(1), _C(0))
print("\(i)\t= \(res)")
}

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@ -0,0 +1,27 @@
define method a
(k :: <integer>, x1 :: <function>, x2 :: <function>, x3 :: <function>,
x4 :: <function>, x5 :: <function>)
=> (i :: <integer>)
local b() => (i :: <integer>)
k := k - 1;
a(k, b, x1, x2, x3, x4)
end;
if (k <= 0) x4() + x5() else b() end if
end method a;
define method man-or-boy
(x :: <integer>)
=> (i :: <integer>)
a(x, method() 1 end,
method() -1 end,
method() -1 end,
method() 1 end,
method() 0 end)
end method man-or-boy;
format-out("%d\n", man-or-boy(10))

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@ -0,0 +1,15 @@
def a(var k, &x1, &x2, &x3, &x4, &x5) {
def bS; def &b := bS
bind bS {
to get() {
k -= 1
return a(k, &b, &x1, &x2, &x3, &x4)
}
}
return if (k <= 0) { x4 + x5 } else { b }
}
def p := 1
def n := -1
def z := 0
println(a(10, &p, &n, &n, &p, &z))

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@ -0,0 +1,10 @@
fun A = int by int k, fun x1, fun x2, fun x3, fun x4, fun x5
fun B = int by block do return A(--k, B, x1, x2, x3, x4) end
return when(k <= 0, x4() + x5(), B())
end
fun C = fun by int i
return int by block do return i end
end
for int i = 0; i <= 11; i++
writeLine("A(" + i + ") = " + A(i, C(1), C(-1), C(-1), C(1), C(0) ))
end

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@ -0,0 +1,16 @@
;; copied from Scheme
(define (A k x1 x2 x3 x4 x5)
(define (B)
(set! k (- k 1))
(A k B x1 x2 x3 x4))
(if (<= k 0)
(+ (x4) (x5))
(B)))
(A 10 (lambda () 1) (lambda () -1) (lambda () -1) (lambda () 1) (lambda () 0))
→ -67
(A 13 (lambda () 1) (lambda () -1) (lambda () -1) (lambda () 1) (lambda () 0))
→ -642
(A 14 ..)
❗ InternalError : too much recursion - JS internal error (please, report it)-
→ stack overflow using FireFox

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@ -0,0 +1,15 @@
open monad io unsafe.cell unsafe.console
liftM2 f m1 m2 = do
x1 <- m1
x2 <- m2
return (f x1 x2)
a k x1 x2 x3 x4 x5 = do
r <- return $ ref k
let b = & do k <- return $ pred (valueof r)
a k b x1 x2 x3 x4
if k <= 0 then liftM2 (+) x4 x5 else b
_ = a 10 (!!1) (!! -1) (!! -1) (!!1) (!!0) >>= (putStr << show) ::: IO
where (!!) f = & return f ::: IO

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@ -0,0 +1,25 @@
import extensions;
A(k,x1,x2,x3,x4,x5)
{
var m := new ref<int>(k);
var b := { m -= 1; ^ A(m,this self,x1,x2,x3,x4) };
if (m <= 0)
{
^ x4() + x5()
}
else
{
^ b()
}
}
public program()
{
for(int n := 0, n <= 14, n += 1)
{
console.printLine(A(n,{^1},{^-1},{^-1},{^1},{^0}))
}
}

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@ -0,0 +1,20 @@
[<EntryPoint>]
let main (args : string[]) =
let k = int(args.[0])
let l x = fun() -> x
let rec a k x1 x2 x3 x4 x5 =
if k <= 0 then
x4() + x5()
else
let k = ref k
let rec b() =
k := !k - 1
a !k b x1 x2 x3 x4
b()
a k (l 1) (l -1) (l -1) (l 1) (l 0)
|> printfn "%A"
0

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@ -0,0 +1,55 @@
type Tramp<'t> =
| Delay of (unit -> Tramp<'t>)
| Bind of Tramp<'t> * ('t -> Tramp<'t>)
| Return of 't
| ReturnFrom of Tramp<'t>
type Tramp() =
member this.Delay(f) = Delay f
member this.Bind(x, f) = Bind(x, f)
member this.Return(x) = Return x
member this.ReturnFrom(x) = ReturnFrom x
let tramp = Tramp()
let run (tr : Tramp<'t>) =
let rec loop tr stack =
match tr with
| Delay f -> loop (f()) stack
| Bind(x, f) -> loop x (f :: stack)
| Return x ->
match stack with
| [] -> x
| f :: stack' -> loop (f x) stack'
| ReturnFrom tr -> loop tr stack
loop tr []
[<EntryPoint>]
let main (args : string[]) =
let k = int(args.[0])
let l x = fun() -> Return x
tramp {
let rec a k x1 x2 x3 x4 x5 =
tramp {
if k <= 0 then
let! x4' = x4()
let! x5' = x5()
return x4' + x5'
else
let k = ref k
let rec b() =
tramp {
k := !k - 1
return! a !k b x1 x2 x3 x4
}
return! b()
}
return! a k (l 1) (l -1) (l -1) (l 1) (l 0)
}
|> run
|> printfn "%A"
0

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@ -0,0 +1,14 @@
class ManOrBoy
{
Void main()
{
echo(A(10, |->Int|{1}, |->Int|{-1}, |->Int|{-1}, |->Int|{1}, |->Int|{0}));
}
static Int A(Int k, |->Int| x1, |->Int| x2, |->Int| x3, |->Int| x4, |->Int| x5)
{
|->Int|? b
b = |->Int| { k--; return A(k, b, x1, x2, x3, x4) }
return k <= 0 ? x4() + x5() : b()
}
}

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@ -0,0 +1,7 @@
: A {: w^ k x1 x2 x3 xt: x4 xt: x5 | w^ B :} recursive
k @ 0<= IF x4 x5 f+ ELSE
B k x1 x2 x3 action-of x4 [{: B k x1 x2 x3 x4 :}L
-1 k +!
k @ B @ x1 x2 x3 x4 A ;] dup B !
execute THEN ;
10 [: 1e ;] [: -1e ;] 2dup swap [: 0e ;] A f.

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@ -0,0 +1,56 @@
module man_or_boy
implicit none
contains
recursive integer function A(k,x1,x2,x3,x4,x5) result(res)
integer, intent(in) :: k
interface
recursive integer function x1()
end function
recursive integer function x2()
end function
recursive integer function x3()
end function
recursive integer function x4()
end function
recursive integer function x5()
end function
end interface
integer :: m
if ( k <= 0 ) then
res = x4()+x5()
else
m = k
res = B()
end if
contains
recursive integer function B() result(res)
m = m-1
res = A(m,B,x1,x2,x3,x4)
end function B
end function A
recursive integer function one() result(res)
res = 1
end function
recursive integer function minus_one() result(res)
res = -1
end function
recursive integer function zero() result(res)
res = 0
end function
end module man_or_boy
program test
use man_or_boy
write (*,*) A(10,one,minus_one,minus_one,one,zero)
end program test

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@ -0,0 +1,19 @@
package main
import "fmt"
func a(k int, x1, x2, x3, x4, x5 func() int) int {
var b func() int
b = func() int {
k--
return a(k, b, x1, x2, x3, x4)
}
if k <= 0 {
return x4() + x5()
}
return b()
}
func main() {
x := func(i int) func() int { return func() int { return i } }
fmt.Println(a(10, x(1), x(-1), x(-1), x(1), x(0)))
}

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@ -0,0 +1,24 @@
package main
import "fmt"
func A(k int, x1, x2, x3, x4, x5 func() int) (a int) {
var B func() int
B = func() (b int) {
k--
a = A(k, B, x1, x2, x3, x4)
b = a
return
}
if k <= 0 {
a = x4() + x5()
} else {
_ = B()
}
return
}
func main() {
K := func(x int) func() int { return func() int { return x } }
fmt.Println(A(10, K(1), K(-1), K(-1), K(1), K(0)))
}

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@ -0,0 +1,34 @@
package main
import "fmt"
func eval(v interface{}) int {
switch v := v.(type) {
case int:
return v
case func() int:
return v()
}
panic("bad type")
return 0
}
func A(k int, x1, x2, x3, x4, x5 interface{}) (a int) {
var B func() int
B = func() (b int) {
k--
a = A(k, B, x1, x2, x3, x4)
b = a
return
}
if k <= 0 {
a = eval(x4) + eval(x5)
} else {
_ = B()
}
return
}
func main() {
fmt.Println(A(10, 1, -1, -1, 1, 0))
}

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@ -0,0 +1,49 @@
package main
import (
"fmt"
"math/big"
)
func A(k int) *big.Int {
if k < 6 {
var x1, x2, x3, x4 int64 = 1, -1, -1, 1
c1 := []int64{0, 0, 0, 1, 2, 3}[k]
c2 := []int64{0, 0, 1, 1, 1, 2}[k]
c3 := []int64{0, 1, 1, 0, 0, 1}[k]
c4 := []int64{1, 1, 0, 0, 0, 0}[k]
t := c1*x1 + c2*x2 + c3*x3 + c4*x4
return big.NewInt(t)
}
one := big.NewInt(1)
c0 := big.NewInt(3)
c1 := big.NewInt(2)
c2 := big.NewInt(1)
c3 := big.NewInt(0)
for j := 5; j < k; j++ {
c3.Sub(c3.Add(c3, c0), one)
c0.Add(c0, c1)
c1.Add(c1, c2)
c2.Add(c2, c3)
}
return c0.Add(c0.Sub(c0.Sub(c0, c1), c2), c3)
}
func p(k int) {
fmt.Printf("A(%d) = ", k)
if s := A(k).String(); len(s) < 60 {
fmt.Println(s)
} else {
fmt.Printf("%s...%s (%d digits)\n",
s[:6], s[len(s)-5:], len(s)-1)
}
}
func main() {
for i := 0; i < 40; i++ {
p(i)
}
p(500)
p(10000)
p(1e6)
}

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@ -0,0 +1,10 @@
function A(in_k: int, x1(): int, x2(): int, x3(): int, x4(): int, x5(): int): int {
var k = in_k
var B(): int // B is a function variable
B = \ -> {
k = k-1;
return A(k, B, x1, x2, x3, x4)
}
return k<=0 ? x4()+x5() : B()
}
print(A(10, \ -> 1, \ -> -1, \ -> -1, \ -> 1, \ -> 0))

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@ -0,0 +1,8 @@
def a; a = { k, x1, x2, x3, x4, x5 ->
def b; b = {
a (--k, b, x1, x2, x3, x4)
}
k <= 0 ? x4() + x5() : b()
}
def x = { n -> { it -> n } }

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@ -0,0 +1 @@
println (a(10, x(1), x(-1), x(-1), x(1), x(0)))

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@ -0,0 +1,3 @@
(0..20).each { k ->
printf ("%3d: %7d\n", k, a(k, x(1), x(-1), x(-1), x(1), x(0)))
}

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@ -0,0 +1,20 @@
import Data.IORef (modifyIORef, newIORef, readIORef)
a
:: (Enum a, Num b, Num a, Ord a)
=> a -> IO b -> IO b -> IO b -> IO b -> IO b -> IO b
a k x1 x2 x3 x4 x5 = do
r <- newIORef k
let b = do
k <- pred ! r
a k b x1 x2 x3 x4
if k <= 0
then (+) <$> x4 <*> x5
else b
where
f !r = modifyIORef r f >> readIORef r
main :: IO ()
main = a 10 # 1 # (-1) # (-1) # 1 # 0 >>= print
where
( # ) f = f . return

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@ -0,0 +1,23 @@
record mutable(value) # we need mutable integers
# ... be obvious when we break normal scope rules
procedure main(arglist) # supply the initial k value
k := integer(arglist[1])|10 # .. or default to 10=default
write("Man or Boy = ", A( k, 1, -1, -1, 1, 0 ) )
end
procedure eval(ref) # evaluator to distinguish between a simple value and a code reference
return if type(ref) == "co-expression" then @ref else ref
end
procedure A(k,x1,x2,x3,x4,x5) # Knuth's A
k := mutable(k) # make k mutable for B
return if k.value <= 0 then # -> boy compilers may recurse and die here
eval(x4) + eval(x5) # the crux of separating man .v. boy compilers
else # -> boy compilers can run into trouble at k=5+
B(k,x1,x2,x3,x4,x5)
end
procedure B(k,x1,x2,x3,x4,x5) # Knuth's B
k.value -:= 1 # diddle A's copy of k
return A(k.value, create |B(k,x1,x2,x3,x4,x5),x1,x2,x3,x4) # call A with a new k and 5 x's
end

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@ -0,0 +1,10 @@
record defercall(proc,arglist) # light weight alternative to co-expr for MoB
procedure eval(ref) # evaluator to distinguish between a simple value and a code reference
return if type(ref) == "defercall" then ref.proc!ref.arglist else ref
end
procedure B(k,x1,x2,x3,x4,x5) # Knuth's B
k.value -:= 1 # diddle A's copy of k
return A(k.value, defercall(B,[k,x1,x2,x3,x4,x5]),x1,x2,x3,x4)# call A with a new k and 5 x's
end

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@ -0,0 +1,14 @@
Range
a := method(k, xs,
b := block(
k = k -1
a(k, list(b, xs slice(0,4)) flatten))
if(k <= 0,
(xs at(3) call) + (xs at(4) call),
b call))
f := method(x, block(x))
1 to(500) foreach(k,
(k .. " ") print
a(k, list(1, -1, -1, 1, 0) map (x, f(x))) println)

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@ -0,0 +1,13 @@
A=:4 :0
L=.cocreate'' NB. L is context where names are defined.
k__L=:x
'`x1__L x2__L x3__L x4__L x5__L'=:y
if.k__L<:0 do.a__L=:(x4__L + x5__L)f.'' else. L B '' end.
(coerase L)]]]a__L
)
B=:4 :0
L=.x
k__L=:k__L-1
a__L=:k__L A L&B`(x1__L f.)`(x2__L f.)`(x3__L f.)`(x4__L f.)
)

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@ -0,0 +1,2 @@
10 A 1:`_1:`_1:`1:`0:
_67

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@ -0,0 +1,21 @@
import java.util.function.DoubleSupplier;
public class ManOrBoy {
static double A(int k, DoubleSupplier x1, DoubleSupplier x2,
DoubleSupplier x3, DoubleSupplier x4, DoubleSupplier x5) {
DoubleSupplier B = new DoubleSupplier() {
int m = k;
public double getAsDouble() {
return A(--m, this, x1, x2, x3, x4);
}
};
return k <= 0 ? x4.getAsDouble() + x5.getAsDouble() : B.getAsDouble();
}
public static void main(String[] args) {
System.out.println(A(10, () -> 1.0, () -> -1.0, () -> -1.0, () -> 1.0, () -> 0.0));
}
}

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@ -0,0 +1,27 @@
public class ManOrBoy {
interface Arg {
public int run();
}
public static int A(final int k, final Arg x1, final Arg x2,
final Arg x3, final Arg x4, final Arg x5) {
if (k <= 0)
return x4.run() + x5.run();
return new Arg() {
int m = k;
public int run() {
m--;
return A(m, this, x1, x2, x3, x4);
}
}.run();
}
public static Arg C(final int i) {
return new Arg() {
public int run() { return i; }
};
}
public static void main(String[] args) {
System.out.println(A(10, C(1), C(-1), C(-1), C(1), C(0)));
}
}

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@ -0,0 +1,15 @@
function a(k, x1, x2, x3, x4, x5) {
function b() {
k -= 1;
return a(k, b, x1, x2, x3, x4);
}
return (k > 0) ? b() : x4() + x5();
}
// this uses lambda wrappers around the numeric arguments
function x(n) {
return function () {
return n;
};
}
alert(a(10, x(1), x(-1), x(-1), x(1), x(0)));

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@ -0,0 +1,6 @@
var x = n => () => n;
var a = (k, x1, x2, x3, x4, x5) => {
var b = () => a(--k, b, x1, x2, x3, x4); //decrement k before use
return (k > 0) ? b() : x4() + x5();
};

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@ -0,0 +1,26 @@
/* Knuth's Man or boy test (local references in recursion), in Jsish */
/* As noted, needs a fair sized stack depth, default is 200 in jsish v2.8.24 */
Interp.conf({maxDepth:2048});
function a(k, x1, x2, x3, x4, x5) {
function b() {
k -= 1;
return a(k, b, x1, x2, x3, x4);
}
return (k > 0) ? b() : x4() + x5();
}
// this uses lambda wrappers around the numeric arguments
function x(n) {
return function () {
return n;
};
}
puts(a(10, x(1), x(-1), x(-1), x(1), x(0)));
/*
=!EXPECTSTART!=
-67
=!EXPECTEND!=
*/

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@ -0,0 +1,6 @@
function a(k, x1, x2, x3, x4, x5)
b = ()-> a(k-=1, b, x1, x2, x3, x4);
k <= 0 ? (x4() + x5()) : b();
end
println(a(10, ()->1, ()->-1, ()->-1, ()->1, ()->0));

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@ -0,0 +1,16 @@
// version 1.1.3
typealias Func = () -> Int
fun a(k: Int, x1: Func, x2: Func, x3: Func, x4: Func, x5: Func): Int {
var kk = k
fun b(): Int = a(--kk, ::b, x1, x2, x3, x4)
return if (kk <= 0) x4() + x5() else b()
}
fun main(args: Array<String>) {
println(" k a")
for (k in 0..12) {
println("${"%2d".format(k)}: ${a(k, { 1 }, { -1 }, { -1 }, { 1 }, { 0 })}")
}
}

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function a(k,x1,x2,x3,x4,x5)
local function b()
k = k - 1
return a(k,b,x1,x2,x3,x4)
end
if k <= 0 then return x4() + x5() else return b() end
end
function K(n)
return function()
return n
end
end
print(a(10, K(1), K(-1), K(-1), K(1), K(0)))

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@ -0,0 +1,6 @@
$RecursionLimit = 1665; (* anything less fails for k0 = 10 *)
a[k0_, x1_, x2_, x3_, x4_, x5_] := Module[{k, b },
k = k0;
b = (k--; a[k, b, x1, x2, x3, x4]) &;
If[k <= 0, x4[] + x5[], b[]]]
a[10, 1 &, -1 &, -1 &, 1 &, 0 &]

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@ -0,0 +1,29 @@
MODULE Main;
IMPORT IO;
TYPE Function = PROCEDURE ():INTEGER;
PROCEDURE A(k: INTEGER; x1, x2, x3, x4, x5: Function): INTEGER =
PROCEDURE B(): INTEGER =
BEGIN
DEC(k);
RETURN A(k, B, x1, x2, x3, x4);
END B;
BEGIN
IF k <= 0 THEN
RETURN x4() + x5();
ELSE
RETURN B();
END;
END A;
PROCEDURE F0(): INTEGER = BEGIN RETURN 0; END F0;
PROCEDURE F1(): INTEGER = BEGIN RETURN 1; END F1;
PROCEDURE Fn1(): INTEGER = BEGIN RETURN -1; END Fn1;
BEGIN
IO.PutInt(A(10, F1, Fn1, Fn1, F1, F0));
IO.Put("\n");
END Main.

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@ -0,0 +1,11 @@
import sugar
proc a(k: int; x1, x2, x3, x4, x5: proc(): int): int =
var k = k
proc b(): int =
dec k
a(k, b, x1, x2, x3, x4)
if k <= 0: x4() + x5()
else: b()
echo a(10, () => 1, () => -1, () => -1, () => 1, () => 0)

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let rec a k x1 x2 x3 x4 x5 =
if k <= 0 then
x4 () + x5 ()
else
let m = ref k in
let rec b () =
decr m;
a !m b x1 x2 x3 x4
in
b ()
let () =
Printf.printf "%d\n" (a 10 (fun () -> 1) (fun () -> -1) (fun () -> -1) (fun () -> 1) (fun () -> 0))

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@ -0,0 +1,44 @@
interface Arg {
method : virtual : public : Run() ~ Int;
}
class ManOrBoy {
New() {}
function : A(mb : ManOrBoy, k : Int, x1 : Arg, x2 : Arg, x3 : Arg, x4 : Arg, x5 : Arg) ~ Int {
if(k <= 0) {
return x4->Run() + x5->Run();
};
return Base->New(mb, k, x1, x2, x3, x4) implements Arg {
@mb : ManOrBoy; @k : Int; @x1 : Arg; @x2 : Arg; @x3 : Arg; @x4 : Arg; @m : Int;
New(mb : ManOrBoy, k : Int, x1 : Arg, x2 : Arg, x3 : Arg, x4 : Arg) {
@mb := mb; @k := k; @x1 := x1; @x2 := x2; @x3 := x3; @x4 := x4; @m := @k;
}
method : public : Run() ~ Int {
@m -= 1;
return @mb->A(@mb, @m, @self, @x1, @x2, @x3, @x4);
}
}->Run();
}
function : C(i : Int) ~ Arg {
return Base->New(i) implements Arg {
@i : Int;
New(i : Int) {
@i := i;
}
method : public : Run() ~ Int {
return @i;
}
};
}
function : Main(args : String[]) ~ Nil {
mb := ManOrBoy->New();
mb->A(mb, 10, C(1), C(-1), C(-1), C(1), C(0))->PrintLine();
}
}

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#import <Foundation/Foundation.h>
typedef NSInteger (^IntegerBlock)(void);
NSInteger A (NSInteger kParam, IntegerBlock x1, IntegerBlock x2, IntegerBlock x3, IntegerBlock x4, IntegerBlock x5) {
__block NSInteger k = kParam;
__block __weak IntegerBlock weak_B;
IntegerBlock B;
weak_B = B = ^ {
return A(--k, weak_B, x1, x2, x3, x4);
};
return k <= 0 ? x4() + x5() : B();
}
IntegerBlock K (NSInteger n) {
return ^{return n;};
}
int main (int argc, const char * argv[]) {
@autoreleasepool {
NSInteger result = A(10, K(1), K(-1), K(-1), K(1), K(0));
NSLog(@"%d\n", result);
}
return 0;
}

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@ -0,0 +1,24 @@
#import <Foundation/Foundation.h>
typedef NSInteger (^IntegerBlock)(void);
NSInteger A (NSInteger kParam, IntegerBlock x1, IntegerBlock x2, IntegerBlock x3, IntegerBlock x4, IntegerBlock x5) {
__block NSInteger k = kParam;
__block IntegerBlock B;
B = ^ {
return A(--k, B, x1, x2, x3, x4);
};
return k <= 0 ? x4() + x5() : B();
}
IntegerBlock K (NSInteger n) {
return [[^{return n;} copy] autorelease];
}
int main (int argc, const char * argv[]) {
NSAutoreleasePool *pool = [[NSAutoreleasePool alloc] init];
NSInteger result = A(10, K(1), K(-1), K(-1), K(1), K(0));
NSLog(@"%d\n", result);
[pool drain];
return 0;
}

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@ -0,0 +1,73 @@
@protocol IntegerFun <NSObject>
-(NSInteger)call;
@end
NSInteger A (NSInteger kParam, id<IntegerFun> x1, id<IntegerFun> x2, id<IntegerFun> x3, id<IntegerFun> x4, id<IntegerFun> x5);
@interface B_Class : NSObject <IntegerFun> {
NSInteger *k;
id<IntegerFun> x1, x2, x3, x4;
}
-(id)initWithK:(NSInteger *)k x1:(id<IntegerFun>)x1 x2:(id<IntegerFun>)x2 x3:(id<IntegerFun>)x3 x4:(id<IntegerFun>)x4;
@end
@implementation B_Class
-(id)initWithK:(NSInteger *)_k x1:(id<IntegerFun>)_x1 x2:(id<IntegerFun>)_x2 x3:(id<IntegerFun>)_x3 x4:(id<IntegerFun>)_x4 {
if ((self = [super init])) {
k = _k;
x1 = [_x1 retain];
x2 = [_x2 retain];
x3 = [_x3 retain];
x4 = [_x4 retain];
}
return self;
}
-(void)dealloc {
[x1 release];
[x2 release];
[x3 release];
[x4 release];
[super dealloc];
}
-(NSInteger)call {
return A(--*k, self, x1, x2, x3, x4);
}
@end
NSInteger A (NSInteger k, id<IntegerFun> x1, id<IntegerFun> x2, id<IntegerFun> x3, id<IntegerFun> x4, id<IntegerFun> x5) {
id<IntegerFun> B = [[[B_Class alloc] initWithK:&k x1:x1 x2:x2 x3:x3 x4:x4] autorelease];
return k <= 0 ? [x4 call] + [x5 call] : [B call];
}
@interface K : NSObject <IntegerFun> {
NSInteger n;
}
-(id)initWithN:(NSInteger)n;
@end
@implementation K
-(id)initWithN:(NSInteger)_n {
if ((self = [super init])) {
n = _n;
}
return self;
}
-(NSInteger)call {
return n;
}
@end
int main(int argc, const char *argv[]) {
NSAutoreleasePool *pool = [[NSAutoreleasePool alloc] init];
NSInteger result = A(10,
[[[K alloc] initWithN:1] autorelease],
[[[K alloc] initWithN:-1] autorelease],
[[[K alloc] initWithN:-1] autorelease],
[[[K alloc] initWithN:1] autorelease],
[[[K alloc] initWithN:0] autorelease]);
NSLog(@"%ld\n", result);
[pool release];
return 0;
}

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@ -0,0 +1,30 @@
package main
import "core:fmt"
import "core:os"
import "core:strconv"
Arg :: struct {
fn : proc (^Arg) -> int,
k : ^int,
x1, x2, x3, x4, x5 : ^Arg,
}
B :: proc (a : ^Arg) -> int {
a.k^ -= 1
k := a.k^
return A(&Arg { fn = B, k = &k, x1 = a, x2 = a.x1, x3 = a.x2, x4 = a.x3, x5 = a.x4 } )
}
A :: proc (a : ^Arg) -> int {
return a.x4->fn() + a.x5->fn() if a.k^ <= 0 else B(a)
}
main :: proc () {
f_1 :: proc (^Arg) -> int { return -1 }
f0 :: proc (^Arg) -> int { return 0 }
f1 :: proc (^Arg) -> int { return 1 }
k := strconv.atoi(os.args[1]) if len(os.args) == 2 else 10
fmt.println(A(&Arg { fn = B, k = &k, x1 = &Arg { fn = f1 }, x2 = &Arg { fn = f_1 }, x3 = &Arg { fn = f_1 }, x4 = &Arg { fn = f1 }, x5 = &Arg { fn = f0 } }))
}

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@ -0,0 +1,27 @@
; Because argument "k" is a small number, it's a value, not an object.
; So we must 'pack' it in object - 'box' it; And 'unbox' when we try to get value.
(define (box x) (list x))
(define (unbox x) (car x))
(define (copy x) (box (unbox x)))
(define (A k x1 x2 x3 x4 x5)
(define (B)
(set-car! k (- (unbox k) 1))
(A (copy k) B x1 x2 x3 x4))
(if (<= (unbox k) 0)
(+ (x4) (x5))
(B)))
(define (man-or-boy N)
(A (box N)
(lambda () 1)
(lambda () -1)
(lambda () -1)
(lambda () 1)
(lambda () 0)))
(print (man-or-boy 10))
(print (man-or-boy 15))
(print (man-or-boy 20))

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@ -0,0 +1,21 @@
declare
fun {A K X1 X2 X3 X4 X5}
ReturnA = {NewCell undefined}
fun {B}
ReturnB = {NewCell undefined}
in
K := @K - 1
ReturnA := {A {NewCell @K} B X1 X2 X3 X4}
ReturnB := @ReturnA
@ReturnB
end
in
if @K =< 0 then ReturnA := {X4} + {X5} else _ = {B} end
@ReturnA
end
fun {C V}
fun {$} V end
end
in
{Show {A {NewCell 10} {C 1} {C ~1} {C ~1} {C 1} {C 0}}}

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@ -0,0 +1,14 @@
<?php
function A($k,$x1,$x2,$x3,$x4,$x5) {
$b = function () use (&$b,&$k,$x1,$x2,$x3,$x4) {
return A(--$k,$b,$x1,$x2,$x3,$x4);
};
return $k <= 0 ? $x4() + $x5() : $b();
}
echo A(10, function () { return 1; },
function () { return -1; },
function () { return -1; },
function () { return 1; },
function () { return 0; }) . "\n";
?>

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@ -0,0 +1,22 @@
<?php
function A($k,$x1,$x2,$x3,$x4,$x5) {
static $i = 0;
$b = "myfunction_$i";
$i++;
eval('function '.$b.'() {
static $k = '.$k.';
return A(--$k, '.var_export($b,true).',
'.var_export($x1,true).',
'.var_export($x2,true).',
'.var_export($x3,true).',
'.var_export($x4,true).');
}');
return $k <= 0 ? $x4() + $x5() : $b();
}
echo A(10, create_function('', 'return 1;'),
create_function('', 'return -1;'),
create_function('', 'return -1;'),
create_function('', 'return 1;'),
create_function('', 'return 0;')) . "\n";
?>

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@ -0,0 +1,25 @@
program manorboy(output);
function zero: integer; begin zero := 0 end;
function one: integer; begin one := 1 end;
function negone: integer; begin negone := -1 end;
function A(
k: integer;
function x1: integer;
function x2: integer;
function x3: integer;
function x4: integer;
function x5: integer
): integer;
function B: integer;
begin k := k - 1;
B := A(k, B, x1, x2, x3, x4)
end;
begin if k <= 0 then A := x4 + x5 else A := B
end;
begin writeln(A(10, one, negone, negone, one, zero))
end.

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@ -0,0 +1,8 @@
sub A {
my ($k, $x1, $x2, $x3, $x4, $x5) = @_;
my($B);
$B = sub { A(--$k, $B, $x1, $x2, $x3, $x4) };
$k <= 0 ? &$x4 + &$x5 : &$B;
}
print A(10, sub{1}, sub {-1}, sub{-1}, sub{1}, sub{0} ), "\n";

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@ -0,0 +1,25 @@
-->
<span style="color: #008080;">without</span> <span style="color: #008080;">js</span> <span style="color: #000080;font-style:italic;">-- allocate()</span>
<span style="color: #008080;">forward</span> <span style="color: #008080;">function</span> <span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">object</span> <span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x5</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">B</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">object</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">kptr</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x4</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">peek4s</span><span style="color: #0000FF;">(</span><span style="color: #000000;">kptr</span><span style="color: #0000FF;">)-</span><span style="color: #000000;">1</span>
<span style="color: #7060A8;">poke4</span><span style="color: #0000FF;">(</span><span style="color: #000000;">kptr</span><span style="color: #0000FF;">,</span><span style="color: #000000;">k</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">kptr</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x4</span><span style="color: #0000FF;">},</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x4</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">object</span> <span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x5</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span><span style="color: #0000FF;">(</span><span style="color: #000000;">x4</span><span style="color: #0000FF;">)?</span><span style="color: #000000;">B</span><span style="color: #0000FF;">(</span><span style="color: #000000;">x4</span><span style="color: #0000FF;">):</span><span style="color: #000000;">x4</span><span style="color: #0000FF;">)+</span>
<span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span><span style="color: #0000FF;">(</span><span style="color: #000000;">x5</span><span style="color: #0000FF;">)?</span><span style="color: #000000;">B</span><span style="color: #0000FF;">(</span><span style="color: #000000;">x5</span><span style="color: #0000FF;">):</span><span style="color: #000000;">x5</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">kptr</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">allocate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">poke4</span><span style="color: #0000FF;">(</span><span style="color: #000000;">kptr</span><span style="color: #0000FF;">,</span><span style="color: #000000;">k</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">B</span><span style="color: #0000FF;">({</span><span style="color: #000000;">kptr</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x4</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">23</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"A(%d) = %d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--

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@ -0,0 +1,19 @@
(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">first5</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;"><</span><span style="color: #000000;">5</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #000000;">first5</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">c0</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">c1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">c2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">c3</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">5</span> <span style="color: #008080;">to</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">c3</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">c0</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span>
<span style="color: #000000;">c0</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">c1</span>
<span style="color: #000000;">c1</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">c2</span>
<span style="color: #000000;">c2</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">c3</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">c0</span><span style="color: #0000FF;">-</span><span style="color: #000000;">c1</span><span style="color: #0000FF;">-</span><span style="color: #000000;">c2</span><span style="color: #0000FF;">+</span><span style="color: #000000;">c3</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">40</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%d %d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--

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@ -0,0 +1,27 @@
(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">include</span> <span style="color: #004080;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;"><</span><span style="color: #000000;">5</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">({</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">mpz</span> <span style="color: #000000;">c0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">3</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">c1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">c2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">c3</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">5</span> <span style="color: #008080;">to</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">mpz_sub_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c1</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c2</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c3</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">mpz_sub</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c1</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">mpz_sub</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c2</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c3</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">c0</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">20</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)&{</span><span style="color: #000000;">30</span><span style="color: #0000FF;">,</span><span style="color: #000000;">39</span><span style="color: #0000FF;">,</span><span style="color: #000000;">500</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10000</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1e6</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)-(</span><span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()=</span><span style="color: #004600;">JS</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"A(%,d) = %s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">],</span><span style="color: #7060A8;">mpz_get_short_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">A</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]))})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--

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@ -0,0 +1,8 @@
(de a (K X1 X2 X3 X4 X5)
(let (@K (cons K) B (cons)) # Explicit frame
(set B
(curry (@K B X1 X2 X3 X4) ()
(a (dec @K) (car B) X1 X2 X3 X4) ) )
(if (gt0 (car @K)) ((car B)) (+ (X4) (X5))) ) )
(a 10 '(() 1) '(() -1) '(() -1) '(() 1) '(() 0))

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@ -0,0 +1,13 @@
#!/usr/bin/env python
import sys
sys.setrecursionlimit(1025)
def a(in_k, x1, x2, x3, x4, x5):
k = [in_k]
def b():
k[0] -= 1
return a(k[0], b, x1, x2, x3, x4)
return x4() + x5() if k[0] <= 0 else b()
x = lambda i: lambda: i
print(a(10, x(1), x(-1), x(-1), x(1), x(0)))

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@ -0,0 +1,13 @@
#!/usr/bin/env python
import sys
sys.setrecursionlimit(1025)
def a(k, x1, x2, x3, x4, x5):
def b():
b.k -= 1
return a(b.k, b, x1, x2, x3, x4)
b.k = k
return x4() + x5() if b.k <= 0 else b()
x = lambda i: lambda: i
print(a(10, x(1), x(-1), x(-1), x(1), x(0)))

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@ -0,0 +1,12 @@
#!/usr/bin/env python
import sys
sys.setrecursionlimit(1025)
def A(k, x1, x2, x3, x4, x5):
def B():
nonlocal k
k -= 1
return A(k, B, x1, x2, x3, x4)
return x4() + x5() if k <= 0 else B()
print(A(10, lambda: 1, lambda: -1, lambda: -1, lambda: 1, lambda: 0))

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@ -0,0 +1,8 @@
n <- function(x) function()x
A <- function(k, x1, x2, x3, x4, x5) {
B <- function() A(k <<- k-1, B, x1, x2, x3, x4)
if (k <= 0) x4() + x5() else B()
}
A(10, n(1), n(-1), n(-1), n(1), n(0))

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@ -0,0 +1,15 @@
call.by.name <- function(...) {
cl <- as.list(match.call())
sublist <- lapply(cl[2:(length(cl)-1)],
function(name) substitute(substitute(evalq(.,.caller),
list(.=substitute(name))),
list(name=name)))
names(sublist) <- enquote(cl[2:(length(cl)-1)])
subcall <- do.call("call", c("list", lapply(sublist, enquote)))
fndef <- cl[[length(cl)]]
fndef[[3]] <- substitute({
.caller <- parent.frame()
eval(substitute(body, subcall))
}, list(body=fndef[[3]], subcall=subcall))
eval.parent(fndef)
}

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@ -0,0 +1,11 @@
A <- call.by.name(x1, x2, x3, x4, x5,
function(k, x1, x2, x3, x4, x5) {
Aout <- NULL
B <- function() {
k <<- k - 1
Bout <- Aout <<- A(k, B(), x1, x2, x3, x4)
}
if (k <= 0) Aout <- x4 + x5 else B()
Aout
}
)

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@ -0,0 +1,3 @@
> options(expressions=10000)
> mapply(A, 0:10, 1, -1, -1, 1, 0)
[1] 1 0 -2 0 1 0 1 -1 -10 -30 -67

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@ -0,0 +1,18 @@
> print(A, useSource=FALSE)
function (k, x1, x2, x3, x4, x5)
{
.caller <- parent.frame()
eval(substitute({
Aout <- NULL
B <- function() {
k <<- k - 1
Bout <- Aout <<- A(k, B(), x1, x2, x3, x4)
}
if (k <= 0) Aout <- x4 + x5 else B()
Aout
}, list(x1 = substitute(evalq(., .caller), list(. = substitute(x1))),
x2 = substitute(evalq(., .caller), list(. = substitute(x2))),
x3 = substitute(evalq(., .caller), list(. = substitute(x3))),
x4 = substitute(evalq(., .caller), list(. = substitute(x4))),
x5 = substitute(evalq(., .caller), list(. = substitute(x5))))))
}

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@ -0,0 +1,17 @@
/*REXX program performs the "man or boy" test as far as possible for N. */
do n=0 /*increment N from zero forever. */
say 'n='n a(N,x1,x2,x3,x4,x5) /*display the result to the terminal. */
end /*n*/ /* [↑] do until something breaks. */
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
a: procedure; parse arg k, x1, x2, x3, x4, x5
if k<=0 then return f(x4) + f(x5)
else return f(b)
/*──────────────────────────────────────────────────────────────────────────────────────*/
b: k=k-1; return a(k, b, x1, x2, x3, x4)
f: interpret 'v=' arg(1)"()"; return v
x1: procedure; return 1
x2: procedure; return -1
x3: procedure; return -1
x4: procedure; return 1
x5: procedure; return 0

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@ -0,0 +1,11 @@
#lang racket
(define (A k x1 x2 x3 x4 x5)
(define (B)
(set! k (- k 1))
(A k B x1 x2 x3 x4))
(if (<= k 0)
(+ (x4) (x5))
(B)))
(A 10 (lambda () 1) (lambda () -1) (lambda () -1) (lambda () 1) (lambda () 0))

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@ -0,0 +1,10 @@
#lang racket
(define (A k x1 x2 x3 x4 x5)
(if (<= k 0)
(+ (x4) (x5))
(let B ()
(set! k (- k 1))
(A k B x1 x2 x3 x4))))
(A 10 (lambda () 1) (lambda () -1) (lambda () -1) (lambda () 1) (lambda () 0))

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@ -0,0 +1,7 @@
sub A($k is copy, &x1, &x2, &x3, &x4, &x5) {
$k <= 0
?? x4() + x5()
!! (my &B = { A(--$k, &B, &x1, &x2, &x3, &x4) })();
};
say A(10, {1}, {-1}, {-1}, {1}, {0});

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@ -0,0 +1,6 @@
def a(k, x1, x2, x3, x4, x5)
b = lambda { k -= 1; a(k, b, x1, x2, x3, x4) }
k <= 0 ? x4[] + x5[] : b[]
end
puts a(10, lambda {1}, lambda {-1}, lambda {-1}, lambda {1}, lambda {0})

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@ -0,0 +1,39 @@
use std::cell::Cell;
trait Arg {
fn run(&self) -> i32;
}
impl Arg for i32 {
fn run(&self) -> i32 { *self }
}
struct B<'a> {
k: &'a Cell<i32>,
x1: &'a Arg,
x2: &'a Arg,
x3: &'a Arg,
x4: &'a Arg,
}
impl<'a> Arg for B<'a> {
fn run(&self) -> i32 {
self.k.set(self.k.get() - 1);
a(self.k.get(), self, self.x1, self.x2, self.x3, self.x4)
}
}
fn a(k: i32, x1: &Arg, x2: &Arg, x3: &Arg, x4: &Arg, x5: &Arg) -> i32 {
if k <= 0 {
x4.run() + x5.run()
} else {
B{
k: &Cell::new(k),
x1, x2, x3, x4
}.run()
}
}
pub fn main() {
println!("{}", a(10, &1, &-1, &-1, &1, &0));
}

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@ -0,0 +1,18 @@
use std::cell::Cell;
fn a(k: i32, x1: &Fn() -> i32, x2: &Fn() -> i32, x3: &Fn() -> i32, x4: &Fn() -> i32, x5: &Fn() -> i32) -> i32 {
let k1 = Cell::new(k);
struct B<'a> { f: &'a Fn(&B) -> i32 }
let b = B {
f: &|b| {
k1.set(k1.get() - 1);
return a(k1.get(), &||(b.f)(b), x1, x2, x3, x4)
}
};
let b = ||(b.f)(&b);
return if k <= 0 {x4() + x5()} else {b()}
}
pub fn main() {
println!("{}", a(10, &||1, &||-1, &||-1, &||1, &||0));
}

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@ -0,0 +1,22 @@
use std::cell::Cell;
use std::cell::RefCell;
use std::rc::Rc;
use std::rc::Weak;
fn a(k: i32, x1: &Fn() -> i32, x2: &Fn() -> i32, x3: &Fn() -> i32, x4: &Fn() -> i32, x5: &Fn() -> i32) -> i32 {
let weak_holder: Rc<RefCell<Weak<Fn() -> i32>>> = Rc::new(RefCell::new(Weak::<fn() -> i32>::new()));
let weak_holder2 = weak_holder.clone();
let k_holder = Cell::new(k);
let b: Rc<Fn() -> i32> = Rc::new(move || {
let b = weak_holder2.borrow().upgrade().unwrap();
k_holder.set(k_holder.get() - 1);
return a(k_holder.get(), &*b, x1, x2, x3, x4);
});
weak_holder.replace(Rc::downgrade(&b));
return if k <= 0 {x4() + x5()} else {b()}
}
pub fn main() {
println!("{}", a(10, &||1, &||-1, &||-1, &||1, &||0));
}

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@ -0,0 +1,9 @@
def A(in_k: Int, x1: =>Int, x2: =>Int, x3: =>Int, x4: =>Int, x5: =>Int): Int = {
var k = in_k
def B: Int = {
k = k-1
A(k, B, x1, x2, x3, x4)
}
if (k<=0) x4+x5 else B
}
println(A(10, 1, -1, -1, 1, 0))

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@ -0,0 +1,9 @@
(define (A k x1 x2 x3 x4 x5)
(define (B)
(set! k (- k 1))
(A k B x1 x2 x3 x4))
(if (<= k 0)
(+ (x4) (x5))
(B)))
(A 10 (lambda () 1) (lambda () -1) (lambda () -1) (lambda () 1) (lambda () 0))

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@ -0,0 +1,5 @@
func a(k, x1, x2, x3, x4, x5) {
func b { a(--k, b, x1, x2, x3, x4) };
k <= 0 ? (x4() + x5()) : b();
}
say a(10, ->{1}, ->{-1}, ->{-1}, ->{1}, ->{0}); #=> -67

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