11 #include "tactics/util.h"
12 #include "uct/internal.h"
14 #include "uct/policy/generic.h"
16 /* This implements the UCB1 policy with an extra AMAF heuristics. */
18 struct ucb1_policy_amaf
{
19 /* This is what the Modification of UCT with Patterns in Monte Carlo Go
20 * paper calls 'p'. Original UCB has this on 2, but this seems to
21 * produce way too wide searches; reduce this to get deeper and
22 * narrower readouts - try 0.2. */
24 /* In distributed mode, encourage different slaves to work on different
25 * parts of the tree by adding virtual wins to different nodes. */
28 int vwin_min_playouts
;
29 /* First Play Urgency - if set to less than infinity (the MoGo paper
30 * above reports 1.0 as the best), new branches are explored only
31 * if none of the existing ones has higher urgency than fpu. */
33 unsigned int equiv_rave
;
36 /* Coefficient of local tree values embedded in RAVE. */
37 floating_t ltree_rave
;
38 /* Coefficient of criticality embedded in RAVE. */
40 int crit_min_playouts
;
48 static inline floating_t
fast_sqrt(unsigned int x
)
50 static const floating_t table
[] = {
51 0, 1, 1.41421356237309504880, 1.73205080756887729352,
52 2.00000000000000000000, 2.23606797749978969640,
53 2.44948974278317809819, 2.64575131106459059050,
54 2.82842712474619009760, 3.00000000000000000000,
55 3.16227766016837933199, 3.31662479035539984911,
56 3.46410161513775458705, 3.60555127546398929311,
57 3.74165738677394138558, 3.87298334620741688517,
58 4.00000000000000000000, 4.12310562561766054982,
59 4.24264068711928514640, 4.35889894354067355223,
60 4.47213595499957939281, 4.58257569495584000658,
61 4.69041575982342955456, 4.79583152331271954159,
62 4.89897948556635619639, 5.00000000000000000000,
63 5.09901951359278483002, 5.19615242270663188058,
64 5.29150262212918118100, 5.38516480713450403125,
65 5.47722557505166113456, 5.56776436283002192211,
66 5.65685424949238019520, 5.74456264653802865985,
67 5.83095189484530047087, 5.91607978309961604256,
68 6.00000000000000000000, 6.08276253029821968899,
69 6.16441400296897645025, 6.24499799839839820584,
70 6.32455532033675866399, 6.40312423743284868648,
71 6.48074069840786023096, 6.55743852430200065234,
72 6.63324958071079969822, 6.70820393249936908922,
73 6.78232998312526813906, 6.85565460040104412493,
74 6.92820323027550917410, 7.00000000000000000000,
75 7.07106781186547524400, 7.14142842854284999799,
76 7.21110255092797858623, 7.28010988928051827109,
77 7.34846922834953429459, 7.41619848709566294871,
78 7.48331477354788277116, 7.54983443527074969723,
79 7.61577310586390828566, 7.68114574786860817576,
80 7.74596669241483377035, 7.81024967590665439412,
81 7.87400787401181101968, 7.93725393319377177150,
83 if (x
< sizeof(table
) / sizeof(*table
)) {
90 #define URAVE_DEBUG if (0)
91 static floating_t
inline
92 ucb1rave_evaluate(struct uct_policy
*p
, struct tree
*tree
, struct uct_descent
*descent
, int parity
)
94 struct ucb1_policy_amaf
*b
= p
->data
;
95 struct tree_node
*node
= descent
->node
;
96 struct tree_node
*lnode
= descent
->lnode
;
98 struct move_stats n
= node
->u
, r
= node
->amaf
;
99 if (p
->uct
->amaf_prior
) {
100 stats_merge(&r
, &node
->prior
);
102 stats_merge(&n
, &node
->prior
);
105 /* Local tree heuristics. */
106 assert(!lnode
|| lnode
->parent
);
107 if (p
->uct
->local_tree
&& b
->ltree_rave
> 0 && lnode
108 && (p
->uct
->local_tree_rootchoose
|| lnode
->parent
->parent
)) {
109 struct move_stats l
= lnode
->u
;
110 l
.playouts
= ((floating_t
) l
.playouts
) * b
->ltree_rave
/ LTREE_PLAYOUTS_MULTIPLIER
;
111 URAVE_DEBUG
fprintf(stderr
, "[ltree] adding [%s] %f%%%d to [%s] RAVE %f%%%d\n",
112 coord2sstr(node_coord(lnode
), tree
->board
), l
.value
, l
.playouts
,
113 coord2sstr(node_coord(node
), tree
->board
), r
.value
, r
.playouts
);
117 /* Criticality heuristics. */
118 if (b
->crit_rave
> 0 && node
->u
.playouts
> b
->crit_min_playouts
) {
119 floating_t crit
= tree_node_criticality(tree
, node
);
120 if (b
->crit_negative
|| crit
> 0) {
121 floating_t val
= 1.0f
;
122 if (b
->crit_negflip
&& crit
< 0) {
126 struct move_stats c
= {
127 .value
= tree_node_get_value(tree
, parity
, val
),
128 .playouts
= crit
* r
.playouts
* b
->crit_rave
130 URAVE_DEBUG
fprintf(stderr
, "[crit] adding %f%%%d to [%s] RAVE %f%%%d\n",
132 coord2sstr(node_coord(node
), tree
->board
), r
.value
, r
.playouts
);
138 floating_t value
= 0;
141 /* At the beginning, beta is at 1 and RAVE is used.
142 * At b->equiv_rate, beta is at 1/3 and gets steeper on. */
144 if (b
->sylvain_rave
) {
145 beta
= (floating_t
) r
.playouts
/ (r
.playouts
+ n
.playouts
146 + (floating_t
) n
.playouts
* r
.playouts
/ b
->equiv_rave
);
148 /* XXX: This can be cached in descend; but we don't use this by default. */
149 beta
= sqrt(b
->equiv_rave
/ (3 * node
->parent
->u
.playouts
+ b
->equiv_rave
));
152 value
= beta
* r
.value
+ (1.f
- beta
) * n
.value
;
153 URAVE_DEBUG
fprintf(stderr
, "\t%s value = %f * %f + (1 - %f) * %f (prior %f)\n",
154 coord2sstr(node_coord(node
), tree
->board
), beta
, r
.value
, beta
, n
.value
, node
->prior
.value
);
157 URAVE_DEBUG
fprintf(stderr
, "\t%s value = %f (prior %f)\n",
158 coord2sstr(node_coord(node
), tree
->board
), n
.value
, node
->prior
.value
);
160 } else if (r
.playouts
) {
162 URAVE_DEBUG
fprintf(stderr
, "\t%s value = rave %f (prior %f)\n",
163 coord2sstr(node_coord(node
), tree
->board
), r
.value
, node
->prior
.value
);
165 descent
->value
.playouts
= r
.playouts
+ n
.playouts
;
166 descent
->value
.value
= value
;
167 return tree_node_get_value(tree
, parity
, value
);
171 ucb1rave_descend(struct uct_policy
*p
, struct tree
*tree
, struct uct_descent
*descent
, int parity
, bool allow_pass
)
173 struct ucb1_policy_amaf
*b
= p
->data
;
174 floating_t nconf
= 1.f
;
175 if (b
->explore_p
> 0)
176 nconf
= sqrt(log(descent
->node
->u
.playouts
+ descent
->node
->prior
.playouts
));
177 struct uct
*u
= p
->uct
;
179 if (u
->max_slaves
> 0 && u
->slave_index
>= 0)
180 vwin
= descent
->node
== tree
->root
? b
->root_virtual_win
: b
->virtual_win
;
183 uctd_try_node_children(tree
, descent
, allow_pass
, parity
, u
->tenuki_d
, di
, urgency
) {
184 struct tree_node
*ni
= di
.node
;
185 urgency
= ucb1rave_evaluate(p
, tree
, &di
, parity
);
187 /* In distributed mode, encourage different slaves to work on different
188 * parts of the tree. We rely on the fact that children (if they exist)
189 * are the same and in the same order in all slaves. */
190 if (vwin
> 0 && ni
->u
.playouts
> b
->vwin_min_playouts
&& (child
- u
->slave_index
) % u
->max_slaves
== 0)
191 urgency
+= vwin
/ (ni
->u
.playouts
+ vwin
);
193 if (ni
->u
.playouts
> 0 && b
->explore_p
> 0) {
194 urgency
+= b
->explore_p
* nconf
/ fast_sqrt(ni
->u
.playouts
);
196 } else if (ni
->u
.playouts
+ ni
->amaf
.playouts
+ ni
->prior
.playouts
== 0) {
197 /* assert(!u->even_eqex); */
200 } uctd_set_best_child(di
, urgency
);
202 uctd_get_best_child(descent
);
207 ucb1amaf_update(struct uct_policy
*p
, struct tree
*tree
, struct tree_node
*node
,
208 enum stone node_color
, enum stone player_color
,
209 struct playout_amafmap
*map
, struct board
*final_board
,
212 struct ucb1_policy_amaf
*b
= p
->data
;
213 enum stone winner_color
= result
> 0.5 ? S_BLACK
: S_WHITE
;
214 enum stone child_color
= stone_other(node_color
);
217 struct board bb
; bb
.size
= 9+2;
218 for (struct tree_node
*ni
= node
; ni
; ni
= ni
->parent
)
219 fprintf(stderr
, "%s ", coord2sstr(node_coord(ni
), &bb
));
220 fprintf(stderr
, "[color %d] update result %d (color %d)\n",
221 node_color
, result
, player_color
);
225 if (node
->parent
== NULL
)
226 assert(tree
->root_color
== stone_other(child_color
));
228 if (!b
->crit_amaf
&& !is_pass(node_coord(node
))) {
229 stats_add_result(&node
->winner_owner
, board_local_value(b
->crit_lvalue
, final_board
, node_coord(node
), winner_color
), 1);
230 stats_add_result(&node
->black_owner
, board_local_value(b
->crit_lvalue
, final_board
, node_coord(node
), S_BLACK
), 1);
232 stats_add_result(&node
->u
, result
, 1);
233 if (!is_pass(node_coord(node
)) && amaf_nakade(map
->map
[node_coord(node
)]))
234 amaf_op(map
->map
[node_coord(node
)], -);
236 /* This loop ignores symmetry considerations, but they should
237 * matter only at a point when AMAF doesn't help much. */
238 assert(map
->game_baselen
>= 0);
239 for (struct tree_node
*ni
= node
->children
; ni
; ni
= ni
->sibling
) {
240 enum stone amaf_color
= map
->map
[node_coord(ni
)];
241 assert(amaf_color
!= S_OFFBOARD
);
242 if (amaf_color
== S_NONE
)
244 if (amaf_nakade(map
->map
[node_coord(ni
)])) {
245 if (!b
->check_nakade
)
248 for (i
= map
->game_baselen
; i
< map
->gamelen
; i
++)
249 if (map
->game
[i
].coord
== node_coord(ni
)
250 && map
->game
[i
].color
== child_color
)
252 if (i
== map
->gamelen
)
254 amaf_color
= child_color
;
257 floating_t nres
= result
;
258 if (amaf_color
!= child_color
) {
261 /* For child_color != player_color, we still want
262 * to record the result unmodified; in that case,
263 * we will correctly negate them at the descend phase. */
265 if (b
->crit_amaf
&& !is_pass(node_coord(node
))) {
266 stats_add_result(&ni
->winner_owner
, board_local_value(b
->crit_lvalue
, final_board
, node_coord(ni
), winner_color
), 1);
267 stats_add_result(&ni
->black_owner
, board_local_value(b
->crit_lvalue
, final_board
, node_coord(ni
), S_BLACK
), 1);
269 stats_add_result(&ni
->amaf
, nres
, 1);
272 struct board bb
; bb
.size
= 9+2;
273 fprintf(stderr
, "* %s<%"PRIhash
"> -> %s<%"PRIhash
"> [%d/%f => %d/%f]\n",
274 coord2sstr(node_coord(node
), &bb
), node
->hash
,
275 coord2sstr(node_coord(ni
), &bb
), ni
->hash
,
276 player_color
, result
, child_color
, nres
);
280 if (!is_pass(node_coord(node
))) {
283 node
= node
->parent
; child_color
= stone_other(child_color
);
289 policy_ucb1amaf_init(struct uct
*u
, char *arg
)
291 struct uct_policy
*p
= calloc2(1, sizeof(*p
));
292 struct ucb1_policy_amaf
*b
= calloc2(1, sizeof(*b
));
295 p
->choose
= uctp_generic_choose
;
296 p
->winner
= uctp_generic_winner
;
297 p
->evaluate
= ucb1rave_evaluate
;
298 p
->descend
= ucb1rave_descend
;
299 p
->update
= ucb1amaf_update
;
300 p
->wants_amaf
= true;
302 b
->explore_p
= 0; // 0.02 can be also good on 19x19 with prior=eqex=40
303 b
->equiv_rave
= 3000;
305 b
->check_nakade
= true;
306 b
->sylvain_rave
= true;
307 b
->ltree_rave
= 0.75f
;
310 b
->crit_min_playouts
= 2000;
311 b
->crit_negative
= 1;
314 b
->root_virtual_win
= -1;
315 b
->vwin_min_playouts
= 1000;
318 char *optspec
, *next
= arg
;
321 next
+= strcspn(next
, ":");
322 if (*next
) { *next
++ = 0; } else { *next
= 0; }
324 char *optname
= optspec
;
325 char *optval
= strchr(optspec
, '=');
326 if (optval
) *optval
++ = 0;
328 if (!strcasecmp(optname
, "explore_p")) {
329 b
->explore_p
= atof(optval
);
330 } else if (!strcasecmp(optname
, "fpu") && optval
) {
331 b
->fpu
= atof(optval
);
332 } else if (!strcasecmp(optname
, "equiv_rave") && optval
) {
333 b
->equiv_rave
= atof(optval
);
334 } else if (!strcasecmp(optname
, "sylvain_rave")) {
335 b
->sylvain_rave
= !optval
|| *optval
== '1';
336 } else if (!strcasecmp(optname
, "check_nakade")) {
337 b
->check_nakade
= !optval
|| *optval
== '1';
338 } else if (!strcasecmp(optname
, "ltree_rave") && optval
) {
339 b
->ltree_rave
= atof(optval
);
340 } else if (!strcasecmp(optname
, "crit_rave") && optval
) {
341 b
->crit_rave
= atof(optval
);
342 } else if (!strcasecmp(optname
, "crit_min_playouts") && optval
) {
343 b
->crit_min_playouts
= atoi(optval
);
344 } else if (!strcasecmp(optname
, "crit_negative")) {
345 b
->crit_negative
= !optval
|| *optval
== '1';
346 } else if (!strcasecmp(optname
, "crit_negflip")) {
347 b
->crit_negflip
= !optval
|| *optval
== '1';
348 } else if (!strcasecmp(optname
, "crit_amaf")) {
349 b
->crit_amaf
= !optval
|| *optval
== '1';
350 } else if (!strcasecmp(optname
, "crit_lvalue")) {
351 b
->crit_lvalue
= !optval
|| *optval
== '1';
352 } else if (!strcasecmp(optname
, "virtual_win") && optval
) {
353 b
->virtual_win
= atoi(optval
);
354 } else if (!strcasecmp(optname
, "root_virtual_win") && optval
) {
355 b
->root_virtual_win
= atoi(optval
);
356 } else if (!strcasecmp(optname
, "vwin_min_playouts") && optval
) {
357 b
->vwin_min_playouts
= atoi(optval
);
359 fprintf(stderr
, "ucb1amaf: Invalid policy argument %s or missing value\n",
365 if (b
->root_virtual_win
< 0)
366 b
->root_virtual_win
= b
->virtual_win
;