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-rw-r--r--src/ticker.c31
1 files changed, 30 insertions, 1 deletions
diff --git a/src/ticker.c b/src/ticker.c
index d7b8cd26c..790b5c200 100644
--- a/src/ticker.c
+++ b/src/ticker.c
@@ -1,3 +1,32 @@
-#define JEMALLOC_TICKER_C_
#include "jemalloc/internal/jemalloc_preamble.h"
#include "jemalloc/internal/jemalloc_internal_includes.h"
+
+/*
+ * To avoid using floating point math down core paths (still necessary because
+ * versions of the glibc dynamic loader that did not preserve xmm registers are
+ * still somewhat common, requiring us to be compilable with -mno-sse), and also
+ * to avoid generally expensive library calls, we use a precomputed table of
+ * values. We want to sample U uniformly on [0, 1], and then compute
+ * ceil(log(u)/log(1-1/nticks)). We're mostly interested in the case where
+ * nticks is reasonably big, so 1/log(1-1/nticks) is well-approximated by
+ * -nticks.
+ *
+ * To compute log(u), we sample an integer in [1, 64] and divide, then just look
+ * up results in a table. As a space-compression mechanism, we store these as
+ * uint8_t by dividing the range (255) by the highest-magnitude value the log
+ * can take on, and using that as a multiplier. We then have to divide by that
+ * multiplier at the end of the computation.
+ *
+ * The values here are computed in src/ticker.py
+ */
+
+const uint8_t ticker_geom_table[1 << TICKER_GEOM_NBITS] = {
+ 254, 211, 187, 169, 156, 144, 135, 127,
+ 120, 113, 107, 102, 97, 93, 89, 85,
+ 81, 77, 74, 71, 68, 65, 62, 60,
+ 57, 55, 53, 50, 48, 46, 44, 42,
+ 40, 39, 37, 35, 33, 32, 30, 29,
+ 27, 26, 24, 23, 21, 20, 19, 18,
+ 16, 15, 14, 13, 12, 10, 9, 8,
+ 7, 6, 5, 4, 3, 2, 1, 0
+};