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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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import std.algorithm, std.array, std.typecons, std.range;
struct Spermutations(bool doCopy=true) {
private immutable uint n;
alias TResult = Tuple!(int[], int);
int opApply(in int delegate(in ref TResult) nothrow dg) nothrow {
int result;
int sign = 1;
alias Int2 = Tuple!(int, int);
auto p = n.iota.map!(i => Int2(i, i ? -1 : 0)).array;
TResult aux;
aux[0] = p.map!(pi => pi[0]).array;
aux[1] = sign;
result = dg(aux);
if (result)
goto END;
while (p.any!q{ a[1] }) {
// Failed to use std.algorithm here, too much complex.
auto largest = Int2(-100, -100);
int i1 = -1;
foreach (immutable i, immutable pi; p)
if (pi[1])
if (pi[0] > largest[0]) {
i1 = i;
largest = pi;
}
immutable n1 = largest[0],
d1 = largest[1];
sign *= -1;
int i2;
if (d1 == -1) {
i2 = i1 - 1;
p[i1].swap(p[i2]);
if (i2 == 0 || p[i2 - 1][0] > n1)
p[i2][1] = 0;
} else if (d1 == 1) {
i2 = i1 + 1;
p[i1].swap(p[i2]);
if (i2 == n - 1 || p[i2 + 1][0] > n1)
p[i2][1] = 0;
}
if (doCopy) {
aux[0] = p.map!(pi => pi[0]).array;
} else {
foreach (immutable i, immutable pi; p)
aux[0][i] = pi[0];
}
aux[1] = sign;
result = dg(aux);
if (result)
goto END;
foreach (immutable i3, ref pi; p) {
immutable n3 = pi[0],
d3 = pi[1];
if (n3 > n1)
pi[1] = (i3 < i2) ? 1 : -1;
}
}
END: return result;
}
}
Spermutations!doCopy spermutations(bool doCopy=true)(in uint n) {
return typeof(return)(n);
}
version (permutations_by_swapping1) {
void main() {
import std.stdio;
foreach (immutable n; [3, 4]) {
writefln("\nPermutations and sign of %d items", n);
foreach (const tp; n.spermutations)
writefln("Perm: %s Sign: %2d", tp[]);
}
}
}

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import std.algorithm, std.array, std.typecons, std.range;
auto sPermutations(in uint n) pure nothrow @safe {
static immutable(int[])[] inner(in int items) pure nothrow @safe {
if (items <= 0)
return [[]];
typeof(return) r;
foreach (immutable i, immutable item; inner(items - 1)) {
//r.put((i % 2 ? iota(item.length.signed, -1, -1) :
// iota(item.length + 1))
// .map!(i => item[0 .. i] ~ (items - 1) ~ item[i .. $]));
immutable f = (in size_t i) pure nothrow @safe =>
item[0 .. i] ~ (items - 1) ~ item[i .. $];
r ~= (i % 2) ?
//iota(item.length.signed, -1, -1).map!f.array :
iota(item.length + 1).retro.map!f.array :
iota(item.length + 1).map!f.array;
}
return r;
}
return inner(n).zip([1, -1].cycle);
}
void main() {
import std.stdio;
foreach (immutable n; [2, 3, 4]) {
writefln("Permutations and sign of %d items:", n);
foreach (immutable tp; n.sPermutations)
writefln(" %s Sign: %2d", tp[]);
writeln;
}
}