Add size class computation capability.
Add size class computation capability, currently used only as validation of the size class lookup tables. Generalize the size class spacing used for bins, for eventual use throughout the full range of allocation sizes.
This commit is contained in:
Jason Evans
@@ -2,16 +2,23 @@
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# The following limits are chosen such that they cover all supported platforms.
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# Range of quanta.
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lg_qmin=3
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lg_qmax=4
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# Pointer sizes.
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lg_zarr="2 3"
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# Quanta.
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lg_qarr="3 4"
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# The range of tiny size classes is [2^lg_tmin..2^(lg_q-1)].
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lg_tmin=3
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# Range of page sizes.
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lg_pmin=12
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lg_pmax=16
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# Maximum lookup size.
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lg_kmax=12
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# Page sizes.
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lg_parr="12 13 16"
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# Size class group size (number of size classes for each size doubling).
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lg_g=2
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pow2() {
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e=$1
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@@ -22,68 +29,206 @@ pow2() {
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done
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}
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lg() {
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x=$1
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lg_result=0
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while [ ${x} -gt 1 ] ; do
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lg_result=$((${lg_result} + 1))
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x=$((${x} / 2))
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done
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}
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size_class() {
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index=$1
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lg_grp=$2
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lg_delta=$3
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ndelta=$4
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lg_p=$5
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lg_kmax=$6
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lg ${ndelta}; lg_ndelta=${lg_result}; pow2 ${lg_ndelta}
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if [ ${pow2_result} -lt ${ndelta} ] ; then
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rem="yes"
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else
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rem="no"
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fi
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lg_size=${lg_grp}
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if [ $((${lg_delta} + ${lg_ndelta})) -eq ${lg_grp} ] ; then
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lg_size=$((${lg_grp} + 1))
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else
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lg_size=${lg_grp}
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rem="yes"
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fi
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if [ ${lg_size} -lt ${lg_p} ] ; then
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bin="yes"
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else
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bin="no"
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fi
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if [ ${lg_size} -lt ${lg_kmax} \
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-o ${lg_size} -eq ${lg_kmax} -a ${rem} = "no" ] ; then
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lg_delta_lookup=${lg_delta}
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else
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lg_delta_lookup="no"
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fi
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printf ' SC(%3d, %6d, %8d, %6d, %3s, %2s) \\\n' ${index} ${lg_grp} ${lg_delta} ${ndelta} ${bin} ${lg_delta_lookup}
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# Defined upon return:
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# - lg_delta_lookup (${lg_delta} or "no")
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# - bin ("yes" or "no")
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}
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sep_line() {
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echo " \\"
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}
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size_classes() {
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lg_z=$1
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lg_q=$2
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lg_t=$3
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lg_p=$4
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lg_g=$5
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pow2 $((${lg_z} + 3)); ptr_bits=${pow2_result}
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pow2 ${lg_g}; g=${pow2_result}
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echo "#define SIZE_CLASSES \\"
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echo " /* index, lg_grp, lg_delta, ndelta, bin, lg_delta_lookup */ \\"
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ntbins=0
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nlbins=0
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lg_tiny_maxclass='"NA"'
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nbins=0
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# Tiny size classes.
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ndelta=0
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index=0
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lg_grp=${lg_t}
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lg_delta=${lg_grp}
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while [ ${lg_grp} -lt ${lg_q} ] ; do
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size_class ${index} ${lg_grp} ${lg_delta} ${ndelta} ${lg_p} ${lg_kmax}
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if [ ${lg_delta_lookup} != "no" ] ; then
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nlbins=$((${index} + 1))
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fi
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if [ ${bin} != "no" ] ; then
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nbins=$((${index} + 1))
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fi
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ntbins=$((${ntbins} + 1))
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lg_tiny_maxclass=${lg_grp} # Final written value is correct.
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index=$((${index} + 1))
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lg_delta=${lg_grp}
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lg_grp=$((${lg_grp} + 1))
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done
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# First non-tiny group.
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if [ ${ntbins} -gt 0 ] ; then
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sep_line
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# The first size class has an unusual encoding, because the size has to be
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# split between grp and delta*ndelta.
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lg_grp=$((${lg_grp} - 1))
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ndelta=1
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size_class ${index} ${lg_grp} ${lg_delta} ${ndelta} ${lg_p} ${lg_kmax}
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index=$((${index} + 1))
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lg_grp=$((${lg_grp} + 1))
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lg_delta=$((${lg_delta} + 1))
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fi
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while [ ${ndelta} -lt ${g} ] ; do
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size_class ${index} ${lg_grp} ${lg_delta} ${ndelta} ${lg_p} ${lg_kmax}
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index=$((${index} + 1))
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ndelta=$((${ndelta} + 1))
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done
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# All remaining groups.
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lg_grp=$((${lg_grp} + ${lg_g}))
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while [ ${lg_grp} -lt ${ptr_bits} ] ; do
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sep_line
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ndelta=1
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if [ ${lg_grp} -eq $((${ptr_bits} - 1)) ] ; then
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ndelta_limit=$((${g} - 1))
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else
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ndelta_limit=${g}
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fi
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while [ ${ndelta} -le ${ndelta_limit} ] ; do
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size_class ${index} ${lg_grp} ${lg_delta} ${ndelta} ${lg_p} ${lg_kmax}
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if [ ${lg_delta_lookup} != "no" ] ; then
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nlbins=$((${index} + 1))
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# Final written value is correct:
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lookup_maxclass="((((size_t)1) << ${lg_grp}) + (((size_t)${ndelta}) << ${lg_delta}))"
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fi
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if [ ${bin} != "no" ] ; then
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nbins=$((${index} + 1))
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# Final written value is correct:
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small_maxclass="((((size_t)1) << ${lg_grp}) + (((size_t)${ndelta}) << ${lg_delta}))"
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fi
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index=$((${index} + 1))
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ndelta=$((${ndelta} + 1))
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done
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lg_grp=$((${lg_grp} + 1))
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lg_delta=$((${lg_delta} + 1))
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done
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echo
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# Defined upon completion:
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# - ntbins
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# - nlbins
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# - nbins
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# - lg_tiny_maxclass
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# - lookup_maxclass
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# - small_maxclass
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}
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cat <<EOF
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/* This file was automatically generated by size_classes.sh. */
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/******************************************************************************/
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#ifdef JEMALLOC_H_TYPES
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/*
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* This header requires LG_SIZEOF_PTR, LG_TINY_MIN, LG_QUANTUM, and LG_PAGE to
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* be defined prior to inclusion, and it in turn defines:
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*
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* LG_SIZE_CLASS_GROUP: Lg of size class count for each size doubling.
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* SIZE_CLASSES: Complete table of
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* SC(index, lg_delta, size, bin, lg_delta_lookup) tuples.
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* index: Size class index.
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* lg_grp: Lg group base size (no deltas added).
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* lg_delta: Lg delta to previous size class.
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* ndelta: Delta multiplier. size == 1<<lg_grp + ndelta<<lg_delta
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* bin: 'yes' if a small bin size class, 'no' otherwise.
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* lg_delta_lookup: Same as lg_delta if a lookup table size class, 'no'
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* otherwise.
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* NTBINS: Number of tiny bins.
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* NLBINS: Number of bins supported by the lookup table.
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* NBINS: Number of small size class bins.
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* LG_TINY_MAXCLASS: Lg of maximum tiny size class.
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* LOOKUP_MAXCLASS: Maximum size class included in lookup table.
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* SMALL_MAXCLASS: Maximum small size class.
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*/
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#define LG_SIZE_CLASS_GROUP ${lg_g}
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EOF
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lg_q=${lg_qmin}
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while [ ${lg_q} -le ${lg_qmax} ] ; do
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lg_t=${lg_tmin}
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while [ ${lg_t} -le ${lg_q} ] ; do
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lg_p=${lg_pmin}
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while [ ${lg_p} -le ${lg_pmax} ] ; do
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echo "#if (LG_TINY_MIN == ${lg_t} && LG_QUANTUM == ${lg_q} && LG_PAGE == ${lg_p})"
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echo "#define SIZE_CLASSES_DEFINED"
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pow2 ${lg_q}; q=${pow2_result}
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pow2 ${lg_t}; t=${pow2_result}
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pow2 ${lg_p}; p=${pow2_result}
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bin=0
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psz=0
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sz=${t}
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delta=$((${sz} - ${psz}))
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echo "/* SIZE_CLASS(bin, delta, sz) */"
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echo "#define SIZE_CLASSES \\"
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# Tiny size classes.
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while [ ${sz} -lt ${q} ] ; do
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echo " SIZE_CLASS(${bin}, ${delta}, ${sz}) \\"
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bin=$((${bin} + 1))
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psz=${sz}
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sz=$((${sz} + ${sz}))
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delta=$((${sz} - ${psz}))
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for lg_z in ${lg_zarr} ; do
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for lg_q in ${lg_qarr} ; do
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lg_t=${lg_tmin}
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while [ ${lg_t} -le ${lg_q} ] ; do
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# Iterate through page sizes and compute how many bins there are.
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for lg_p in ${lg_parr} ; do
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echo "#if (LG_SIZEOF_PTR == ${lg_z} && LG_TINY_MIN == ${lg_t} && LG_QUANTUM == ${lg_q} && LG_PAGE == ${lg_p})"
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size_classes ${lg_z} ${lg_q} ${lg_t} ${lg_p} ${lg_g}
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echo "#define SIZE_CLASSES_DEFINED"
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echo "#define NTBINS ${ntbins}"
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echo "#define NLBINS ${nlbins}"
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echo "#define NBINS ${nbins}"
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echo "#define LG_TINY_MAXCLASS ${lg_tiny_maxclass}"
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echo "#define LOOKUP_MAXCLASS ${lookup_maxclass}"
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echo "#define SMALL_MAXCLASS ${small_maxclass}"
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echo "#endif"
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echo
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done
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# Quantum-multiple size classes. For each doubling of sz, as many as 4
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# size classes exist. Their spacing is the greater of:
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# - q
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# - sz/4, where sz is a power of 2
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while [ ${sz} -lt ${p} ] ; do
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if [ ${sz} -ge $((${q} * 4)) ] ; then
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i=$((${sz} / 4))
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else
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i=${q}
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fi
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next_2pow=$((${sz} * 2))
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while [ ${sz} -lt $next_2pow ] ; do
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echo " SIZE_CLASS(${bin}, ${delta}, ${sz}) \\"
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bin=$((${bin} + 1))
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psz=${sz}
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sz=$((${sz} + ${i}))
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delta=$((${sz} - ${psz}))
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done
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done
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echo
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echo "#define NBINS ${bin}"
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echo "#define SMALL_MAXCLASS ${psz}"
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echo "#endif"
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echo
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lg_p=$((${lg_p} + 1))
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lg_t=$((${lg_t} + 1))
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done
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lg_t=$((${lg_t} + 1))
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done
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lg_q=$((${lg_q} + 1))
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done
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cat <<EOF
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