i965/fs_live_variables: Do liveness analysis bottom-to-top

From Muchnick's Advanced Compiler Design and Implementation:

"To determine which variables are live at each point in a flowgraph, we
perform a backward data-flow analysis"

Previously, we were walking the blocks forwards and updating the livein and
then the liveout.  However, the livein calculation depends on the liveout
and the liveout depends on the successor blocks.  The net result is that it
takes one full iteration to go from liveout to livein and then another
full iteration to propagate to the predecessors.  This works out to an
O(n^2) computation where n is the number of blocks.  If we run things in
the other order, it's O(nl) where l is the maximum loop depth which is
practically bounded by 3.

On my HSW desktop, one particular shadertoy test gets a 20% improvement in
compile times:

N           Min           Max        Median           Avg        Stddev
x  10        15.965        16.884        16.026       16.1822    0.34736846
+  10        12.813        13.052        12.876       12.8891    0.06913666
Difference at 95.0% confidence
        -3.2931 +/- 0.235316
        -20.3501% +/- 1.45417%
        (Student's t, pooled s = 0.250444)

Reviewed-by: Matt Turner <mattst88@gmail.com>

1 files changed, 19 insertions, 19 deletions

diff --git a/src/mesa/drivers/dri/i965/brw_fs_live_variables.cpp b/src/mesa/drivers/dri/i965/brw_fs_live_variables.cpp
index 502161d..19aec92 100644
--- a/src/mesa/drivers/dri/i965/brw_fs_live_variables.cpp
+++ b/src/mesa/drivers/dri/i965/brw_fs_live_variables.cpp
@@ -204,27 +204,9 @@ fs_live_variables::compute_live_variables()
    while (cont) {
       cont = false;
 
-      foreach_block (block, cfg) {
+      foreach_block_reverse (block, cfg) {
          struct block_data *bd = &block_data[block->num];
 
-	 /* Update livein */
-	 for (int i = 0; i < bitset_words; i++) {
-            BITSET_WORD new_livein = (bd->use[i] |
-                                      (bd->liveout[i] &
-                                       ~bd->def[i]));
-	    if (new_livein & ~bd->livein[i]) {
-               bd->livein[i] |= new_livein;
-               cont = true;
-	    }
-	 }
-         BITSET_WORD new_livein = (bd->flag_use[0] |
-                                   (bd->flag_liveout[0] &
-                                    ~bd->flag_def[0]));
-         if (new_livein & ~bd->flag_livein[0]) {
-            bd->flag_livein[0] |= new_livein;
-            cont = true;
-         }
-
 	 /* Update liveout */
 	 foreach_list_typed(bblock_link, child_link, link, &block->children) {
             struct block_data *child_bd = &block_data[child_link->block->num];
@@ -244,6 +226,24 @@ fs_live_variables::compute_live_variables()
                cont = true;
             }
 	 }
+
+         /* Update livein */
+         for (int i = 0; i < bitset_words; i++) {
+            BITSET_WORD new_livein = (bd->use[i] |
+                                      (bd->liveout[i] &
+                                       ~bd->def[i]));
+            if (new_livein & ~bd->livein[i]) {
+               bd->livein[i] |= new_livein;
+               cont = true;
+            }
+         }
+         BITSET_WORD new_livein = (bd->flag_use[0] |
+                                   (bd->flag_liveout[0] &
+                                    ~bd->flag_def[0]));
+         if (new_livein & ~bd->flag_livein[0]) {
+            bd->flag_livein[0] |= new_livein;
+            cont = true;
+         }
       }
    }
 }