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bart <bc@freeuk.com> wrote:It showed how to do conditional code without explicit branching. It didn't seem to me to cover arbitrary gotos, or where recursion comes into it.On 17/12/2024 18:46, Waldek Hebisch wrote:The example I gave (and you snipped) was supposed to explain howbart <bc@freeuk.com> wrote:>>>
If you try to extract any meaning, it is that any control flow can be
expressed either with 'goto' or with 'recursive functions'.
>
This is what I picked up on. Who on earth would eschew 'goto' and use
such a disproportionately more complex and inefficient method like
recursive functions?
Due to silly conding standard? Or in language that does not have
'goto'.
It was suggested that 'theoretically', 'goto' could be replaced by
recursive function calls.
>
Whether still within the context of a language with no other control
flow instructions, is not known. The suggester also chose not to share
examples of how it would work.
the technique works, but it seems that it is not enough.
SoOK thanks for this. I tried to duplicate it based on this starting point:
let us look at another example. Start from ordinary C code that
only uses global variables (this is not strictly necessary, but
let as make such assumption for simplicity):
int n;
int * a;
int b;
int i;
...
/* Simple search loop */
for(i = 0; i < n; i++) {
if (a[i] == b) {
break;
}
}
First, express flow control using only conditional and unconditional
jump:
l0:
i = 0;
goto l3;
l1:
int c1 = a[i] == b;
if (c1) {
goto l4;
} else {
goto l2;
}
l2:
i++;
l3:
int c2 = i < n;
if (c2) {
goto l1;
} else {
goto l4;
}
l4:
;
Note, I introduced more jumps than strictly necessary, so that
hunks between labels end either in conditional or unconditional
jump.
Next, replace each hunk staring in a label, up to (but not
including) next label, by a new function. Replace final jumps
by function calls, for conditional jumps using the same trick
as in previous 'silly' example:
int n;
int * a;
int b;
int i;
void l2(void);
void l3(void);
void l4(void);
void l0(void) {
i = 0;
l3();
}
void l1(void) {
void (*(t[2]))(void) = {l4, l2};
int c1 = a[i] == b;
(*(t[c1]))();
}
void l2(void) {
i++;
l3();
}
void l3(void) {
void (*(t[]))(void) = {l1, l4};
int c2 = i < n;
(*(t[c2]))();
}
void l4(void) {
}
Note: 'l4' is different than other functions, intead of calling
something it returns, ensuring that the sequence of calls
eventually terminate.
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