Data commit

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

View file

@ -0,0 +1,39 @@
import std.stdio, std.algorithm, std.conv;
string[] selfReferentialSeq(string n, string[] seen=[]) nothrow {
__gshared static string[][string] cache;
if (n in cache)
return cache[n];
if (seen.canFind(n))
return [];
int[10] digit_count;
foreach (immutable d; n)
digit_count[d - '0']++;
string term;
foreach_reverse (immutable d; 0 .. 10)
if (digit_count[d] > 0)
term ~= text(digit_count[d], d);
return cache[n] = [n] ~ selfReferentialSeq(term, [n] ~ seen);
}
void main() {
enum int limit = 1_000_000;
int max_len;
int[] max_vals;
foreach (immutable n; 1 .. limit) {
const seq = n.text().selfReferentialSeq();
if (seq.length > max_len) {
max_len = seq.length;
max_vals = [n];
} else if (seq.length == max_len)
max_vals ~= n;
}
writeln("values: ", max_vals);
writeln("iterations: ", max_len);
writeln("sequence:");
foreach (const idx, const val; max_vals[0].text.selfReferentialSeq)
writefln("%2d %s", idx + 1, val);
}

View file

@ -0,0 +1,179 @@
import std.range, std.algorithm;
struct Permutations(bool doCopy=true, T) {
T[] items;
int r;
bool stopped;
int[] indices, cycles;
static if (!doCopy)
T[] result;
this(T)(T[] items, int r=-1) pure nothrow @safe {
this.items = items;
immutable int n = items.length;
if (r < 0)
r = n;
this.r = r;
immutable n_minus_r = n - r;
if (n_minus_r < 0) {
this.stopped = true;
} else {
this.stopped = false;
this.indices = n.iota.array;
//this.cycles = iota(n, n_minus_r, -1).array; // Not nothrow.
this.cycles = iota(n_minus_r + 1, n + 1).retro.array;
}
static if (!doCopy)
result = new T[r];
}
@property bool empty() const pure nothrow @safe @nogc {
return this.stopped;
}
static if (doCopy) {
@property T[] front() const pure nothrow @safe {
assert(!this.stopped);
auto result = new T[r];
foreach (immutable i, ref re; result)
re = items[indices[i]];
return result;
}
} else {
@property T[] front() pure nothrow @safe @nogc {
assert(!this.stopped);
foreach (immutable i, ref re; this.result)
re = items[indices[i]];
return this.result;
}
}
void popFront() pure nothrow /*@safe*/ @nogc {
assert(!this.stopped);
int i = r - 1;
while (i >= 0) {
immutable int j = cycles[i] - 1;
if (j > 0) {
cycles[i] = j;
indices[i].swap(indices[$ - j]);
return;
}
cycles[i] = indices.length - i;
immutable int n1 = indices.length - 1;
assert(n1 >= 0);
immutable int num = indices[i];
// copy isn't @safe.
indices[i + 1 .. n1 + 1].copy(indices[i .. n1]);
indices[n1] = num;
i--;
}
this.stopped = true;
}
}
Permutations!(doCopy, T) permutations(bool doCopy=true, T)
(T[] items, int r=-1)
pure nothrow @safe {
return Permutations!(doCopy, T)(items, r);
}
// ---------------------------------
import std.stdio, std.typecons, std.conv, std.algorithm, std.array,
std.exception, std.string;
enum maxIters = 1_000_000;
string A036058(in string ns) pure nothrow @safe {
return ns.representation.group.map!(t => t[1].text ~ char(t[0])).join;
}
int A036058_length(bool doPrint=false)(string numberString="0") {
int iterations = 1;
int queueIndex;
string[3] lastThree;
while (true) {
static if (doPrint)
writefln(" %2d %s", iterations, numberString);
numberString = numberString
.dup
.representation
.sort()
.release
.assumeUTF;
if (lastThree[].canFind(numberString))
break;
assert(iterations < maxIters);
lastThree[queueIndex] = numberString;
numberString = numberString.A036058;
iterations++;
queueIndex++;
queueIndex %= 3;
}
return iterations;
}
Tuple!(int,int[]) max_A036058_length(R)(R startRange = 11.iota) {
bool[string] alreadyDone;
auto max_len = tuple(-1, (int[]).init);
foreach (n; startRange) {
immutable sns = n
.to!(char[])
.representation
.sort()
.release
.assumeUTF;
if (sns !in alreadyDone) {
alreadyDone[sns] = true;
const size = sns.A036058_length;
if (size > max_len[0])
max_len = tuple(size, [n]);
else if (size == max_len[0])
max_len[1] ~= n;
}
}
return max_len;
}
void main() {
//const (lenMax, starts) = maxIters.iota.max_A036058_length;
const lenMax_starts = maxIters.iota.max_A036058_length;
immutable lenMax = lenMax_starts[0];
const starts = lenMax_starts[1];
// Expand:
int[] allStarts;
foreach (immutable n; starts) {
bool[string] set;
foreach (const k; permutations!false(n.to!(char[]), 4))
if (k[0] != '0')
set[k.idup] = true;
//allStarts ~= set.byKey.to!(int[]);
allStarts ~= set.byKey.map!(to!int).array;
}
allStarts = allStarts.sort().filter!(x => x < maxIters).array;
writefln("The longest length, followed by the number(s) with the
longest sequence length for starting sequence numbers below maxIters
are:
Iterations = %d and sequence-starts = %s.", lenMax, allStarts);
writeln("Note that only the first of any sequences with the same
digits is printed below. (The others will differ only in their first
term).");
foreach (immutable n; starts) {
writeln;
A036058_length!true(n.text);
}
}

View file

@ -0,0 +1,134 @@
import core.stdc.stdio, core.stdc.stdlib;
struct MemoryPool(T, int MAX_BLOCK_BYTES = 1 << 17) {
static assert(!is(T == class),
"MemoryPool is designed for native data.");
static assert(MAX_BLOCK_BYTES >= 1,
"MemoryPool: MAX_BLOCK_BYTES must be >= 1 bytes.");
static assert(MAX_BLOCK_BYTES >= T.sizeof,
"MemoryPool: MAX_BLOCK_BYTES must be" ~
" bigger than a T.");
static if (T.sizeof * 5 > MAX_BLOCK_BYTES)
pragma(msg, "MemoryPool: Block is very small.");
alias Block = T[MAX_BLOCK_BYTES / T.sizeof];
static __gshared Block*[] blocks;
static __gshared T* nextFree, lastFree;
static T* newItem() nothrow {
if (nextFree >= lastFree) {
blocks ~= cast(Block*)calloc(1, Block.sizeof);
if (blocks[$ - 1] == null)
exit(1);
nextFree = blocks[$ - 1].ptr;
lastFree = nextFree + Block.length;
}
return nextFree++;
}
// static void freeAll() nothrow {
// foreach (blockPtr; blocks)
// free(blockPtr);
// blocks.length = 0;
// nextFree = null;
// lastFree = null;
// }
}
struct Rec { // Tree node
int length;
Rec*[10] p;
}
__gshared int nNodes;
__gshared Rec* rec_root;
__gshared MemoryPool!Rec recPool;
Rec* findRec(char* s, Rec* root) nothrow {
int c;
Rec* next;
while (true) {
c = *s;
s++;
if (!c)
break;
c -= '0';
next = root.p[c];
if (!next) {
nNodes++;
next = recPool.newItem;
root.p[c] = next;
}
root = next;
}
return root;
}
void nextNum(char* s) nothrow @nogc {
int[10] cnt;
for (int i = 0; s[i]; i++)
cnt[s[i] - '0']++;
foreach_reverse (i; 0 .. 10) {
if (!cnt[i])
continue;
s += sprintf(s, "%d%c", cnt[i], i + '0');
}
}
int getLen(char* s, int depth) nothrow {
auto r = findRec(s, rec_root);
if (r.length > 0)
return r.length;
depth++;
if (!r.length)
r.length = -depth;
else
r.length += depth;
nextNum(s);
depth = 1 + getLen(s, depth);
if (r.length <= 0)
r.length = depth;
return r.length;
}
void main() nothrow {
enum MAXN = 1_000_000;
int[100] longest;
int nLongest, ml;
char[32] buf;
rec_root = recPool.newItem();
foreach (immutable i; 0 .. MAXN) {
sprintf(buf.ptr, "%d", i);
int l = getLen(buf.ptr, 0);
if (l < ml)
continue;
if (l > ml) {
nLongest = 0;
ml = l;
}
longest[nLongest] = i;
nLongest++;
}
printf("seq leng: %d\n\n", ml);
foreach (immutable i; 0 .. nLongest) {
sprintf(buf.ptr, "%d", longest[i]);
// print len+1 so we know repeating starts from when
foreach (immutable l; 0 .. ml + 1) {
printf("%2d: %s\n", getLen(buf.ptr, 0), buf.ptr);
nextNum(buf.ptr);
}
printf("\n");
}
printf("Allocated %d Rec tree nodes.\n", nNodes);
//recPool.freeAll;
}