11 #include "uct/internal.h"
13 #include "uct/policy/generic.h"
15 /* This implements the UCB1 policy with an extra AMAF heuristics. */
17 struct ucb1_policy_amaf
{
18 /* This is what the Modification of UCT with Patterns in Monte Carlo Go
19 * paper calls 'p'. Original UCB has this on 2, but this seems to
20 * produce way too wide searches; reduce this to get deeper and
21 * narrower readouts - try 0.2. */
23 /* First Play Urgency - if set to less than infinity (the MoGo paper
24 * above reports 1.0 as the best), new branches are explored only
25 * if none of the existing ones has higher urgency than fpu. */
27 unsigned int equiv_rave
;
30 /* Coefficient of local tree values embedded in RAVE. */
31 floating_t ltree_rave
;
32 /* Coefficient of criticality embedded in RAVE. */
34 int crit_min_playouts
;
40 static inline floating_t
fast_sqrt(unsigned int x
)
42 static const floating_t table
[] = {
43 0, 1, 1.41421356237309504880, 1.73205080756887729352,
44 2.00000000000000000000, 2.23606797749978969640,
45 2.44948974278317809819, 2.64575131106459059050,
46 2.82842712474619009760, 3.00000000000000000000,
47 3.16227766016837933199, 3.31662479035539984911,
48 3.46410161513775458705, 3.60555127546398929311,
49 3.74165738677394138558, 3.87298334620741688517,
50 4.00000000000000000000, 4.12310562561766054982,
51 4.24264068711928514640, 4.35889894354067355223,
52 4.47213595499957939281, 4.58257569495584000658,
53 4.69041575982342955456, 4.79583152331271954159,
54 4.89897948556635619639, 5.00000000000000000000,
55 5.09901951359278483002, 5.19615242270663188058,
56 5.29150262212918118100, 5.38516480713450403125,
57 5.47722557505166113456, 5.56776436283002192211,
58 5.65685424949238019520, 5.74456264653802865985,
59 5.83095189484530047087, 5.91607978309961604256,
60 6.00000000000000000000, 6.08276253029821968899,
61 6.16441400296897645025, 6.24499799839839820584,
62 6.32455532033675866399, 6.40312423743284868648,
63 6.48074069840786023096, 6.55743852430200065234,
64 6.63324958071079969822, 6.70820393249936908922,
65 6.78232998312526813906, 6.85565460040104412493,
66 6.92820323027550917410, 7.00000000000000000000,
67 7.07106781186547524400, 7.14142842854284999799,
68 7.21110255092797858623, 7.28010988928051827109,
69 7.34846922834953429459, 7.41619848709566294871,
70 7.48331477354788277116, 7.54983443527074969723,
71 7.61577310586390828566, 7.68114574786860817576,
72 7.74596669241483377035, 7.81024967590665439412,
73 7.87400787401181101968, 7.93725393319377177150,
75 if (x
< sizeof(table
) / sizeof(*table
)) {
82 #define LTREE_DEBUG if (0)
83 static floating_t
inline
84 ucb1rave_evaluate(struct uct_policy
*p
, struct tree
*tree
, struct uct_descent
*descent
, int parity
)
86 struct ucb1_policy_amaf
*b
= p
->data
;
87 struct tree_node
*node
= descent
->node
;
88 struct tree_node
*lnode
= descent
->lnode
;
90 struct move_stats n
= node
->u
, r
= node
->amaf
;
91 if (p
->uct
->amaf_prior
) {
92 stats_merge(&r
, &node
->prior
);
94 stats_merge(&n
, &node
->prior
);
97 /* Local tree heuristics. */
98 if (p
->uct
->local_tree
&& b
->ltree_rave
> 0 && lnode
) {
99 struct move_stats l
= lnode
->u
;
100 l
.playouts
= ((floating_t
) l
.playouts
) * b
->ltree_rave
/ LTREE_PLAYOUTS_MULTIPLIER
;
101 LTREE_DEBUG
fprintf(stderr
, "[ltree] adding [%s] %f%%%d to [%s] RAVE %f%%%d\n",
102 coord2sstr(lnode
->coord
, tree
->board
), l
.value
, l
.playouts
,
103 coord2sstr(node
->coord
, tree
->board
), r
.value
, r
.playouts
);
107 /* Criticality heuristics. */
108 if (b
->crit_rave
> 0 && node
->u
.playouts
> b
->crit_min_playouts
) {
109 floating_t crit
= tree_node_criticality(tree
, node
);
110 if (b
->crit_negative
|| crit
> 0) {
111 struct move_stats c
= {
112 .value
= tree_node_get_value(tree
, parity
, 1.0f
),
113 .playouts
= crit
* r
.playouts
* b
->crit_rave
115 LTREE_DEBUG
fprintf(stderr
, "[crit] adding %f%%%d to [%s] RAVE %f%%%d\n",
117 coord2sstr(node
->coord
, tree
->board
), r
.value
, r
.playouts
);
123 floating_t value
= 0;
126 /* At the beginning, beta is at 1 and RAVE is used.
127 * At b->equiv_rate, beta is at 1/3 and gets steeper on. */
129 if (b
->sylvain_rave
) {
130 beta
= (floating_t
) r
.playouts
/ (r
.playouts
+ n
.playouts
131 + (floating_t
) n
.playouts
* r
.playouts
/ b
->equiv_rave
);
133 /* XXX: This can be cached in descend; but we don't use this by default. */
134 beta
= sqrt(b
->equiv_rave
/ (3 * node
->parent
->u
.playouts
+ b
->equiv_rave
));
137 value
= beta
* r
.value
+ (1.f
- beta
) * n
.value
;
141 } else if (r
.playouts
) {
144 descent
->value
.playouts
= r
.playouts
+ n
.playouts
;
145 descent
->value
.value
= value
;
146 return tree_node_get_value(tree
, parity
, value
);
150 ucb1rave_descend(struct uct_policy
*p
, struct tree
*tree
, struct uct_descent
*descent
, int parity
, bool allow_pass
)
152 struct ucb1_policy_amaf
*b
= p
->data
;
153 floating_t nconf
= 1.f
;
154 if (b
->explore_p
> 0)
155 nconf
= sqrt(log(descent
->node
->u
.playouts
+ descent
->node
->prior
.playouts
));
157 uctd_try_node_children(tree
, descent
, allow_pass
, parity
, p
->uct
->tenuki_d
, di
, urgency
) {
158 struct tree_node
*ni
= di
.node
;
159 urgency
= ucb1rave_evaluate(p
, tree
, &di
, parity
);
161 if (ni
->u
.playouts
> 0 && b
->explore_p
> 0) {
162 urgency
+= b
->explore_p
* nconf
/ fast_sqrt(ni
->u
.playouts
);
164 } else if (ni
->u
.playouts
+ ni
->amaf
.playouts
+ ni
->prior
.playouts
== 0) {
165 /* assert(!u->even_eqex); */
168 } uctd_set_best_child(di
, urgency
);
170 uctd_get_best_child(descent
);
175 ucb1amaf_update(struct uct_policy
*p
, struct tree
*tree
, struct tree_node
*node
,
176 enum stone node_color
, enum stone player_color
,
177 struct playout_amafmap
*map
, struct board
*final_board
,
180 struct ucb1_policy_amaf
*b
= p
->data
;
181 enum stone winner_color
= result
> 0.5 ? S_BLACK
: S_WHITE
;
182 enum stone child_color
= stone_other(node_color
);
185 struct board bb
; bb
.size
= 9+2;
186 for (struct tree_node
*ni
= node
; ni
; ni
= ni
->parent
)
187 fprintf(stderr
, "%s ", coord2sstr(ni
->coord
, &bb
));
188 fprintf(stderr
, "[color %d] update result %d (color %d)\n",
189 node_color
, result
, player_color
);
193 if (node
->parent
== NULL
)
194 assert(tree
->root_color
== stone_other(child_color
));
197 stats_add_result(&node
->winner_owner
, board_at(final_board
, node
->coord
) == winner_color
? 1.0 : 0.0, 1);
198 stats_add_result(&node
->black_owner
, board_at(final_board
, node
->coord
) == S_BLACK
? 1.0 : 0.0, 1);
200 stats_add_result(&node
->u
, result
, 1);
201 if (amaf_nakade(map
->map
[node
->coord
]))
202 amaf_op(map
->map
[node
->coord
], -);
204 /* This loop ignores symmetry considerations, but they should
205 * matter only at a point when AMAF doesn't help much. */
206 assert(map
->game_baselen
>= 0);
207 for (struct tree_node
*ni
= node
->children
; ni
; ni
= ni
->sibling
) {
208 enum stone amaf_color
= map
->map
[ni
->coord
];
209 assert(amaf_color
!= S_OFFBOARD
);
210 if (amaf_color
== S_NONE
)
212 if (amaf_nakade(map
->map
[ni
->coord
])) {
213 if (!b
->check_nakade
)
216 for (i
= map
->game_baselen
; i
< map
->gamelen
; i
++)
217 if (map
->game
[i
].coord
== ni
->coord
218 && map
->game
[i
].color
== child_color
)
220 if (i
== map
->gamelen
)
222 amaf_color
= child_color
;
225 floating_t nres
= result
;
226 if (amaf_color
!= child_color
) {
229 /* For child_color != player_color, we still want
230 * to record the result unmodified; in that case,
231 * we will correctly negate them at the descend phase. */
234 stats_add_result(&ni
->winner_owner
, board_at(final_board
, ni
->coord
) == winner_color
? 1.0 : 0.0, 1);
235 stats_add_result(&ni
->black_owner
, board_at(final_board
, ni
->coord
) == S_BLACK
? 1.0 : 0.0, 1);
237 stats_add_result(&ni
->amaf
, nres
, 1);
240 struct board bb
; bb
.size
= 9+2;
241 fprintf(stderr
, "* %s<%"PRIhash
"> -> %s<%"PRIhash
"> [%d/%f => %d/%f]\n",
242 coord2sstr(node
->coord
, &bb
), node
->hash
,
243 coord2sstr(ni
->coord
, &bb
), ni
->hash
,
244 player_color
, result
, child_color
, nres
);
248 if (!is_pass(node
->coord
)) {
251 node
= node
->parent
; child_color
= stone_other(child_color
);
257 policy_ucb1amaf_init(struct uct
*u
, char *arg
)
259 struct uct_policy
*p
= calloc2(1, sizeof(*p
));
260 struct ucb1_policy_amaf
*b
= calloc2(1, sizeof(*b
));
263 p
->choose
= uctp_generic_choose
;
264 p
->winner
= uctp_generic_winner
;
265 p
->evaluate
= ucb1rave_evaluate
;
266 p
->descend
= ucb1rave_descend
;
267 p
->update
= ucb1amaf_update
;
268 p
->wants_amaf
= true;
270 b
->explore_p
= 0; // 0.02 can be also good on 19x19 with prior=eqex=40
271 b
->equiv_rave
= 3000;
273 b
->check_nakade
= true;
274 b
->sylvain_rave
= true;
275 b
->ltree_rave
= 0.75f
;
278 b
->crit_min_playouts
= 2000;
279 b
->crit_negative
= 1;
283 char *optspec
, *next
= arg
;
286 next
+= strcspn(next
, ":");
287 if (*next
) { *next
++ = 0; } else { *next
= 0; }
289 char *optname
= optspec
;
290 char *optval
= strchr(optspec
, '=');
291 if (optval
) *optval
++ = 0;
293 if (!strcasecmp(optname
, "explore_p")) {
294 b
->explore_p
= atof(optval
);
295 } else if (!strcasecmp(optname
, "fpu") && optval
) {
296 b
->fpu
= atof(optval
);
297 } else if (!strcasecmp(optname
, "equiv_rave") && optval
) {
298 b
->equiv_rave
= atof(optval
);
299 } else if (!strcasecmp(optname
, "sylvain_rave")) {
300 b
->sylvain_rave
= !optval
|| *optval
== '1';
301 } else if (!strcasecmp(optname
, "check_nakade")) {
302 b
->check_nakade
= !optval
|| *optval
== '1';
303 } else if (!strcasecmp(optname
, "ltree_rave") && optval
) {
304 b
->ltree_rave
= atof(optval
);
305 } else if (!strcasecmp(optname
, "crit_rave") && optval
) {
306 b
->crit_rave
= atof(optval
);
307 } else if (!strcasecmp(optname
, "crit_min_playouts") && optval
) {
308 b
->crit_min_playouts
= atoi(optval
);
309 } else if (!strcasecmp(optname
, "crit_negative")) {
310 b
->crit_negative
= !optval
|| *optval
== '1';
311 } else if (!strcasecmp(optname
, "crit_amaf")) {
312 b
->crit_amaf
= !optval
|| *optval
== '1';
314 fprintf(stderr
, "ucb1amaf: Invalid policy argument %s or missing value\n",