science-ation/admin/anneal.inc.php
dave de761c8b3e Update the annealer to recompute the cost of multiple affected buckets
on a move if necessary.  Add the annealer to compute floor locations
(but don't link it to anything yet because there's no editor, we're
testing it with GVRSF this year).
2010-02-22 18:45:58 +00:00

364 lines
9.4 KiB
PHP

<?php
class annealer {
var $num_buckets;
var $bucket;
var $bucket_cost;
var $bucket_cost_new;
var $cost;
var $start_temp, $start_moves;
var $cost_function_callback;
var $pick_move_callback;
var $update_callback;
var $delta_cost_bucket_ids_callback;
var $iterations;
var $items_per_bucket;
var $max_items_per_bucket;
var $rate;
var $move_bucket_ids;
function annealer($num_buckets, $start_temp, $start_moves, $rate,
$cost_function_cb, $items)
{
$this->num_buckets = $num_buckets;
$this->start_temp = $start_temp;
$this->start_moves = $start_moves;
$this->cost_function_callback = $cost_function_cb;
unset($this->pick_move_callback);
unset($this->update_callback);
unset($this->delta_cost_bucket_ids_callback);
$this->bucket_cost = array();
$this->bucket_cost_old = array();
$this->bucket = array();
$this->iterations = 0;
$this->items_per_bucket = ceil(count($items) / $num_buckets);
$this->rate = $rate;
$this->max_items_per_bucket = 0;
$ipb = ceil($this->items_per_bucket);
$i=0;
$this->cost = 0;
/* Assign to buckets */
for($x=0; $x<$num_buckets; $x++) {
unset($b);
$b = array();
for($y=0;$y<$ipb; $y++) {
if($i == count($items)) break;
$b[] = $items[$i];
$i++;
}
$this->bucket[] = $b;
}
/* Then do costs after all bucket assignments are done */
for($x=0; $x<$num_buckets; $x++) {
$c = $this->cost_function($x);
$this->bucket_cost[] = $c;
$this->cost += $c;
}
TRACE("Annealer setup: T={$this->start_temp}, ".
"M={$this->start_moves}, Bkts={$this->num_buckets}, ".
"Cost={$this->cost}\n");
}
function set_pick_move($func)
{
$this->pick_move_callback = $func;
}
function set_update_callback($func)
{
$this->update_callback = $func;
}
function set_delta_cost_bucket_ids_callback($func)
{
$this->delta_cost_bucket_ids_callback = $func;
}
function set_max_items_per_bucket($num)
{
$this->max_items_per_bucket = $num;
}
function pick_move()
{
/* Pick a bucket and item */
while(1) {
$b1 = rand(0, $this->num_buckets - 1);
if(count($this->bucket[$b1]) > 0) break;
}
$i1 = rand(0, count($this->bucket[$b1]) -1);
/* Pick a second bucket that is different than the first */
$b2 = rand(0, $this->num_buckets - 2);
if($b2 >= $b1) $b2++;
if($this->max_items_per_bucket > 0 && count($this->bucket[$b2]) >= $this->max_items_per_bucket) {
/* Can't move b1 into b2, it would exceed the max items per bucket, pick an
* item to swap with */
$i2 = rand(0, count($this->bucket[$b2])-1);
} else {
/* Pick an item, or a blank, in the second bucket */
$i2 = rand(0, count($this->bucket[$b2]));
if($i2 == count($this->bucket[$b2])) $i2 = -1;
}
// TRACE("Move ($b1,$i1)<->($b2,$i2)\n");
return array($b1, $i1, $b2, $i2);
}
function cost_function($b)
{
$bkt = $this->bucket[$b];
$cb = $this->cost_function_callback;
$c = $cb($this, $b, $bkt);
// $this->print_bucket($b);
// print("Computed cost to be: $c\n");
return $c;
}
function compute_delta_cost($move)
{
list($b1, $i1, $b2, $i2) = $move;
if($b1 == $b2) {
echo "Called on same bucket, not supported!\n";
exit;
// return $this->compute_delta_cost_same_bucket($move);
}
$cost = 0;
/* Save the old lists for easy restore */
$b1_old = $this->bucket[$b1];
$b2_old = $this->bucket[$b2];
/* Setup new costs */
$this->bucket_cost_new = $this->bucket_cost;
/* Compute new lists with swapped elements */
if($i2 != -1) { /* Swap */
array_splice($this->bucket[$b1], $i1, 1, $b2_old[$i2]);
array_splice($this->bucket[$b2], $i2, 1, $b1_old[$i1]);
} else { /* Move one to other */
array_splice($this->bucket[$b1], $i1, 1);
$this->bucket[$b2][] = $b1_old[$i1];
}
/* Get the lists of buckets we need to recompute, by default
* just b1 and b2 */
if(isset ($this->delta_cost_bucket_ids_callback)) {
$cb = $this->delta_cost_bucket_ids_callback;
$ids = $cb($this, $b1);
$ids = array_unique(array_merge($ids, $cb($this, $b2)), SORT_NUMERIC );
} else {
$ids = array($b1, $b2);
}
// TRACE("Recompute IDs:\n");
// TRACE_R($ids);
/* Save that list */
$this->move_bucket_ids = $ids;
/* Compute a delta cost, recompute all costs for all buckets */
foreach($ids as $bucket_id) {
/* Compute costs */
$cost -= $this->bucket_cost[$bucket_id];
$this->bucket_cost_new[$bucket_id] = $this->cost_function($bucket_id);
$cost += $this->bucket_cost_new[$bucket_id];
}
/* Save the new lists */
$b1_new = $this->bucket[$b1];
$b2_new = $this->bucket[$b2];
/* Return to the original bucket lists */
$this->bucket[$b1] = $b1_old;
$this->bucket[$b2] = $b2_old;
return array($cost, array($b1_new, $b2_new));
}
/*
function compute_delta_cost_same_bucket($move)
{
list($b1, $i1, $b2, $i2) = $move;
$cost = 0;
$b_old = $this->bucket[$b1];
$b_new = array();
/* Make a new bucket list
for($x=0; $x<count($b_old); $x++) {
if($x == $i1) {
/* Swap or remove this index
if($i2 != -1) $b_new[] = $b_old[$i2];
} else if($x == $i2) {
$b_new[] = $b_old[$i1];
} else {
$b_new[] = $b_old[$x];
}
}
/* Assign the new item lists to the buckets
$this->bucket[$b1] = $b_new;
/* Compute costs
$cost -= $this->bucket_cost[$b1];
$c1 = $this->cost_function($b1);
$cost += $c1;
/* Return to the original bucket lists
$this->bucket[$b1] = $b_old;
return array($cost, array($c1, $b_new, 0, array()));
}
*/
function accept_move($move, $movedata)
{
list($b1, $i1, $b2, $i2) = $move;
list($b1_new, $b2_new) = $movedata;
$this->bucket[$b1] = $b1_new;
if($b1 != $b2) $this->bucket[$b2] = $b2_new;
$this->bucket_cost = $this->bucket_cost_new;
}
function anneal()
{
$temperature = $this->start_temp;
$current_cost = $this->cost;
$last_cost = 0;
$last_cost_count = 0;
if($this->num_buckets <= 1) {
TRACE("Only one Bucket, nothing to anneal.\n");
return;
}
// $this->print_buckets();
$estimated_iterations = ceil(log(0.1 / $this->start_temp, $this->rate));
// print_r($this);
$iterations = 0;
while(1) {
$moves = $this->start_moves;
for($m = 0; $m<$moves; $m++) {
// $this->print_buckets();
/* Pick 2 moves at random */
if(isset ($this->pick_move_callback)) {
$cb = $this->pick_move_callback;
$move = $cb($this);
} else {
$move = $this->pick_move();
}
/* See what the new cost is compared to the old */
list($delta_c, $movedata) =
$this->compute_delta_cost($move);
$r = floatval(rand()) / floatval(getrandmax());
/* Decide if we want to keep it */
$e = exp(-$delta_c / $temperature);
// TRACE("r=$r, exp=$e, delta=$delta_c\n");
if($r < exp(-$delta_c / $temperature)) {
/* Yes, we do, record the move */
$this->accept_move($move, $movedata);
$current_cost += $delta_c;
$n_accepted++;
// if($current_cost < $this->cost)
$this->cost = $current_cost;
// TRACE("Move accepted, cost=$current_cost\n");
} else {
// TRACE("Move rejected\n");
}
$this->iterations++;
if($this->iterations % 10000 == 0) {
TRACE(" {$this->iterations} iterations, cost={$this->cost}, temperature=$temperature\n");
// $this->print_buckets();
}
if($this->cost == 0) {
/* If we manage to get to a 0 cost
* solution, don't look any more */
break;
}
}
$iterations++;
if(isset ($this->update_callback)) {
$cb = $this->update_callback;
$cb($iterations, $estimated_iterations);
}
if($this->cost == 0) break;
if($this->cost == $last_cost) {
$last_cost_count ++;
} else {
$last_cost = $this->cost;
$last_cost_count=0;
}
if($temperature < 0.1 && $last_cost_count > 10)
break;
// TRACE("Cost is {$this->cost}\n");
$temperature *= $this->rate;
/*
FIXME: README: NOTE: TODO:
From Kris, 2009-03-24
Dave do you think we should consider something like this?
<Kris_School_1> here's the schedule i use in my academic annealer:
if( _params._useVPRTempSchedule ) {
// This is VPR's temperature schedule...
if( successRate > 0.96 ) {
_temp *= 0.5;
} else if( successRate > 0.8 ) {
_temp *= 0.9;
} else if( successRate > 0.15 || !windowsSized ) {
_temp *= 0.95;
} else {
_temp *= 0.8;
}
} else {
// This is identical to Aaarts and Van Laarhaven.
real64 kappa = _params._tempReduction; // 1.0 == slow, 10 = reasonable, 100 == fast
real64 sqrvar = std::sqrt( variance );
if( variance <= EPSNEG || sqrvar <= EPSNEG ) {
_temp = 0.;
} else {
_temp = _temp * ( sqrvar / ( sqrvar + kappa * _temp ) );
}
}
*/
}
TRACE("Annealing complete. {$this->iterations} iterations. Final cost is {$this->cost}\n");
}
function print_bucket($x)
{
$b = $this->bucket[$x];
print("Bucket $x: (cost: {$this->bucket_cost[$x]})\n");
print(" ");
for($y=0;$y<count($b); $y++) {
print("{$b[$y]} ");
}
print("\n");
}
function print_buckets()
{
for($x=0; $x<$this->num_buckets; $x++) {
$this->print_bucket($x);
}
}
}
?>