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+#ifndef JEMALLOC_INTERNAL_SC_H
+#define JEMALLOC_INTERNAL_SC_H
+
+#include "jemalloc/internal/jemalloc_internal_types.h"
+
+/*
+ * Size class computations:
+ *
+ * These are a little tricky; we'll first start by describing how things
+ * generally work, and then describe some of the details.
+ *
+ * Ignore the first few size classes for a moment. We can then split all the
+ * remaining size classes into groups. The size classes in a group are spaced
+ * such that they cover allocation request sizes in a power-of-2 range. The
+ * power of two is called the base of the group, and the size classes in it
+ * satisfy allocations in the half-open range (base, base * 2]. There are
+ * SC_NGROUP size classes in each group, equally spaced in the range, so that
+ * each one covers allocations for base / SC_NGROUP possible allocation sizes.
+ * We call that value (base / SC_NGROUP) the delta of the group. Each size class
+ * is delta larger than the one before it (including the initial size class in a
+ * group, which is delta larger than base, the largest size class in the
+ * previous group).
+ * To make the math all work out nicely, we require that SC_NGROUP is a power of
+ * two, and define it in terms of SC_LG_NGROUP. We'll often talk in terms of
+ * lg_base and lg_delta. For each of these groups then, we have that
+ * lg_delta == lg_base - SC_LG_NGROUP.
+ * The size classes in a group with a given lg_base and lg_delta (which, recall,
+ * can be computed from lg_base for these groups) are therefore:
+ * base + 1 * delta
+ * which covers allocations in (base, base + 1 * delta]
+ * base + 2 * delta
+ * which covers allocations in (base + 1 * delta, base + 2 * delta].
+ * base + 3 * delta
+ * which covers allocations in (base + 2 * delta, base + 3 * delta].
+ * ...
+ * base + SC_NGROUP * delta ( == 2 * base)
+ * which covers allocations in (base + (SC_NGROUP - 1) * delta, 2 * base].
+ * (Note that currently SC_NGROUP is always 4, so the "..." is empty in
+ * practice.)
+ * Note that the last size class in the group is the next power of two (after
+ * base), so that we've set up the induction correctly for the next group's
+ * selection of delta.
+ *
+ * Now, let's start considering the first few size classes. Two extra constants
+ * come into play here: LG_QUANTUM and SC_LG_TINY_MIN. LG_QUANTUM ensures
+ * correct platform alignment; all objects of size (1 << LG_QUANTUM) or larger
+ * are at least (1 << LG_QUANTUM) aligned; this can be used to ensure that we
+ * never return improperly aligned memory, by making (1 << LG_QUANTUM) equal the
+ * highest required alignment of a platform. For allocation sizes smaller than
+ * (1 << LG_QUANTUM) though, we can be more relaxed (since we don't support
+ * platforms with types with alignment larger than their size). To allow such
+ * allocations (without wasting space unnecessarily), we introduce tiny size
+ * classes; one per power of two, up until we hit the quantum size. There are
+ * therefore LG_QUANTUM - SC_LG_TINY_MIN such size classes.
+ *
+ * Next, we have a size class of size (1 << LG_QUANTUM). This can't be the
+ * start of a group in the sense we described above (covering a power of two
+ * range) since, if we divided into it to pick a value of delta, we'd get a
+ * delta smaller than (1 << LG_QUANTUM) for sizes >= (1 << LG_QUANTUM), which
+ * is against the rules.
+ *
+ * The first base we can divide by SC_NGROUP while still being at least
+ * (1 << LG_QUANTUM) is SC_NGROUP * (1 << LG_QUANTUM). We can get there by
+ * having SC_NGROUP size classes, spaced (1 << LG_QUANTUM) apart. These size
+ * classes are:
+ * 1 * (1 << LG_QUANTUM)
+ * 2 * (1 << LG_QUANTUM)
+ * 3 * (1 << LG_QUANTUM)
+ * ... (although, as above, this "..." is empty in practice)
+ * SC_NGROUP * (1 << LG_QUANTUM).
+ *
+ * There are SC_NGROUP of these size classes, so we can regard it as a sort of
+ * pseudo-group, even though it spans multiple powers of 2, is divided
+ * differently, and both starts and ends on a power of 2 (as opposed to just
+ * ending). SC_NGROUP is itself a power of two, so the first group after the
+ * pseudo-group has the power-of-two base SC_NGROUP * (1 << LG_QUANTUM), for a
+ * lg_base of LG_QUANTUM + SC_LG_NGROUP. We can divide this base into SC_NGROUP
+ * sizes without violating our LG_QUANTUM requirements, so we can safely set
+ * lg_delta = lg_base - SC_LG_GROUP (== LG_QUANTUM).
+ *
+ * So, in order, the size classes are:
+ *
+ * Tiny size classes:
+ * - Count: LG_QUANTUM - SC_LG_TINY_MIN.
+ * - Sizes:
+ * 1 << SC_LG_TINY_MIN
+ * 1 << (SC_LG_TINY_MIN + 1)
+ * 1 << (SC_LG_TINY_MIN + 2)
+ * ...
+ * 1 << (LG_QUANTUM - 1)
+ *
+ * Initial pseudo-group:
+ * - Count: SC_NGROUP
+ * - Sizes:
+ * 1 * (1 << LG_QUANTUM)
+ * 2 * (1 << LG_QUANTUM)
+ * 3 * (1 << LG_QUANTUM)
+ * ...
+ * SC_NGROUP * (1 << LG_QUANTUM)
+ *
+ * Regular group 0:
+ * - Count: SC_NGROUP
+ * - Sizes:
+ * (relative to lg_base of LG_QUANTUM + SC_LG_NGROUP and lg_delta of
+ * lg_base - SC_LG_NGROUP)
+ * (1 << lg_base) + 1 * (1 << lg_delta)
+ * (1 << lg_base) + 2 * (1 << lg_delta)
+ * (1 << lg_base) + 3 * (1 << lg_delta)
+ * ...
+ * (1 << lg_base) + SC_NGROUP * (1 << lg_delta) [ == (1 << (lg_base + 1)) ]
+ *
+ * Regular group 1:
+ * - Count: SC_NGROUP
+ * - Sizes:
+ * (relative to lg_base of LG_QUANTUM + SC_LG_NGROUP + 1 and lg_delta of
+ * lg_base - SC_LG_NGROUP)
+ * (1 << lg_base) + 1 * (1 << lg_delta)
+ * (1 << lg_base) + 2 * (1 << lg_delta)
+ * (1 << lg_base) + 3 * (1 << lg_delta)
+ * ...
+ * (1 << lg_base) + SC_NGROUP * (1 << lg_delta) [ == (1 << (lg_base + 1)) ]
+ *
+ * ...
+ *
+ * Regular group N:
+ * - Count: SC_NGROUP
+ * - Sizes:
+ * (relative to lg_base of LG_QUANTUM + SC_LG_NGROUP + N and lg_delta of
+ * lg_base - SC_LG_NGROUP)
+ * (1 << lg_base) + 1 * (1 << lg_delta)
+ * (1 << lg_base) + 2 * (1 << lg_delta)
+ * (1 << lg_base) + 3 * (1 << lg_delta)
+ * ...
+ * (1 << lg_base) + SC_NGROUP * (1 << lg_delta) [ == (1 << (lg_base + 1)) ]
+ *
+ *
+ * Representation of metadata:
+ * To make the math easy, we'll mostly work in lg quantities. We record lg_base,
+ * lg_delta, and ndelta (i.e. number of deltas above the base) on a
+ * per-size-class basis, and maintain the invariant that, across all size
+ * classes, size == (1 << lg_base) + ndelta * (1 << lg_delta).
+ *
+ * For regular groups (i.e. those with lg_base >= LG_QUANTUM + SC_LG_NGROUP),
+ * lg_delta is lg_base - SC_LG_NGROUP, and ndelta goes from 1 to SC_NGROUP.
+ *
+ * For the initial tiny size classes (if any), lg_base is lg(size class size).
+ * lg_delta is lg_base for the first size class, and lg_base - 1 for all
+ * subsequent ones. ndelta is always 0.
+ *
+ * For the pseudo-group, if there are no tiny size classes, then we set
+ * lg_base == LG_QUANTUM, lg_delta == LG_QUANTUM, and have ndelta range from 0
+ * to SC_NGROUP - 1. (Note that delta == base, so base + (SC_NGROUP - 1) * delta
+ * is just SC_NGROUP * base, or (1 << (SC_LG_NGROUP + LG_QUANTUM)), so we do
+ * indeed get a power of two that way). If there *are* tiny size classes, then
+ * the first size class needs to have lg_delta relative to the largest tiny size
+ * class. We therefore set lg_base == LG_QUANTUM - 1,
+ * lg_delta == LG_QUANTUM - 1, and ndelta == 1, keeping the rest of the
+ * pseudo-group the same.
+ *
+ *
+ * Other terminology:
+ * "Small" size classes mean those that are allocated out of bins, which is the
+ * same as those that are slab allocated.
+ * "Large" size classes are those that are not small. The cutoff for counting as
+ * large is page size * group size.
+ */
+
+/*
+ * Size class N + (1 << SC_LG_NGROUP) twice the size of size class N.
+ */
+#define SC_LG_NGROUP 2
+#define SC_LG_TINY_MIN 3
+
+#if SC_LG_TINY_MIN == 0
+/* The div module doesn't support division by 1, which this would require. */
+#error "Unsupported LG_TINY_MIN"
+#endif
+
+/*
+ * The definitions below are all determined by the above settings and system
+ * characteristics.
+ */
+#define SC_NGROUP (1ULL << SC_LG_NGROUP)
+#define SC_PTR_BITS ((1ULL << LG_SIZEOF_PTR) * 8)
+#define SC_NTINY (LG_QUANTUM - SC_LG_TINY_MIN)
+#define SC_LG_TINY_MAXCLASS (LG_QUANTUM > SC_LG_TINY_MIN ? LG_QUANTUM - 1 : -1)
+#define SC_NPSEUDO SC_NGROUP
+#define SC_LG_FIRST_REGULAR_BASE (LG_QUANTUM + SC_LG_NGROUP)
+/*
+ * We cap allocations to be less than 2 ** (ptr_bits - 1), so the highest base
+ * we need is 2 ** (ptr_bits - 2). (This also means that the last group is 1
+ * size class shorter than the others).
+ * We could probably save some space in arenas by capping this at LG_VADDR size.
+ */
+#define SC_LG_BASE_MAX (SC_PTR_BITS - 2)
+#define SC_NREGULAR (SC_NGROUP * \
+ (SC_LG_BASE_MAX - SC_LG_FIRST_REGULAR_BASE + 1) - 1)
+#define SC_NSIZES (SC_NTINY + SC_NPSEUDO + SC_NREGULAR)
+
+/*
+ * The number of size classes that are a multiple of the page size.
+ *
+ * Here are the first few bases that have a page-sized SC.
+ *
+ * lg(base) | base | highest SC | page-multiple SCs
+ * --------------|------------------------------------------
+ * LG_PAGE - 1 | PAGE / 2 | PAGE | 1
+ * LG_PAGE | PAGE | 2 * PAGE | 1
+ * LG_PAGE + 1 | 2 * PAGE | 4 * PAGE | 2
+ * LG_PAGE + 2 | 4 * PAGE | 8 * PAGE | 4
+ *
+ * The number of page-multiple SCs continues to grow in powers of two, up until
+ * lg_delta == lg_page, which corresponds to setting lg_base to lg_page +
+ * SC_LG_NGROUP. So, then, the number of size classes that are multiples of the
+ * page size whose lg_delta is less than the page size are
+ * is 1 + (2**0 + 2**1 + ... + 2**(lg_ngroup - 1) == 2**lg_ngroup.
+ *
+ * For each base with lg_base in [lg_page + lg_ngroup, lg_base_max), there are
+ * NGROUP page-sized size classes, and when lg_base == lg_base_max, there are
+ * NGROUP - 1.
+ *
+ * This gives us the quantity we seek.
+ */
+#define SC_NPSIZES ( \
+ SC_NGROUP \
+ + (SC_LG_BASE_MAX - (LG_PAGE + SC_LG_NGROUP)) * SC_NGROUP \
+ + SC_NGROUP - 1)
+
+/*
+ * We declare a size class is binnable if size < page size * group. Or, in other
+ * words, lg(size) < lg(page size) + lg(group size).
+ */
+#define SC_NBINS ( \
+ /* Sub-regular size classes. */ \
+ SC_NTINY + SC_NPSEUDO \
+ /* Groups with lg_regular_min_base <= lg_base <= lg_base_max */ \
+ + SC_NGROUP * (LG_PAGE + SC_LG_NGROUP - SC_LG_FIRST_REGULAR_BASE) \
+ /* Last SC of the last group hits the bound exactly; exclude it. */ \
+ - 1)
+
+/*
+ * The size2index_tab lookup table uses uint8_t to encode each bin index, so we
+ * cannot support more than 256 small size classes.
+ */
+#if (SC_NBINS > 256)
+# error "Too many small size classes"
+#endif
+
+/* The largest size class in the lookup table, and its binary log. */
+#define SC_LG_MAX_LOOKUP 12
+#define SC_LOOKUP_MAXCLASS (1 << SC_LG_MAX_LOOKUP)
+
+/* Internal, only used for the definition of SC_SMALL_MAXCLASS. */
+#define SC_SMALL_MAX_BASE (1 << (LG_PAGE + SC_LG_NGROUP - 1))
+#define SC_SMALL_MAX_DELTA (1 << (LG_PAGE - 1))
+
+/* The largest size class allocated out of a slab. */
+#define SC_SMALL_MAXCLASS (SC_SMALL_MAX_BASE \
+ + (SC_NGROUP - 1) * SC_SMALL_MAX_DELTA)
+
+/* The fastpath assumes all lookup-able sizes are small. */
+#if (SC_SMALL_MAXCLASS < SC_LOOKUP_MAXCLASS)
+# error "Lookup table sizes must be small"
+#endif
+
+/* The smallest size class not allocated out of a slab. */
+#define SC_LARGE_MINCLASS ((size_t)1ULL << (LG_PAGE + SC_LG_NGROUP))
+#define SC_LG_LARGE_MINCLASS (LG_PAGE + SC_LG_NGROUP)
+
+/* Internal; only used for the definition of SC_LARGE_MAXCLASS. */
+#define SC_MAX_BASE ((size_t)1 << (SC_PTR_BITS - 2))
+#define SC_MAX_DELTA ((size_t)1 << (SC_PTR_BITS - 2 - SC_LG_NGROUP))
+
+/* The largest size class supported. */
+#define SC_LARGE_MAXCLASS (SC_MAX_BASE + (SC_NGROUP - 1) * SC_MAX_DELTA)
+
+/* Maximum number of regions in one slab. */
+#ifndef CONFIG_LG_SLAB_MAXREGS
+# define SC_LG_SLAB_MAXREGS (LG_PAGE - SC_LG_TINY_MIN)
+#else
+# if CONFIG_LG_SLAB_MAXREGS < (LG_PAGE - SC_LG_TINY_MIN)
+# error "Unsupported SC_LG_SLAB_MAXREGS"
+# else
+# define SC_LG_SLAB_MAXREGS CONFIG_LG_SLAB_MAXREGS
+# endif
+#endif
+
+#define SC_SLAB_MAXREGS (1U << SC_LG_SLAB_MAXREGS)
+
+typedef struct sc_s sc_t;
+struct sc_s {
+ /* Size class index, or -1 if not a valid size class. */
+ int index;
+ /* Lg group base size (no deltas added). */
+ int lg_base;
+ /* Lg delta to previous size class. */
+ int lg_delta;
+ /* Delta multiplier. size == 1<<lg_base + ndelta<<lg_delta */
+ int ndelta;
+ /*
+ * True if the size class is a multiple of the page size, false
+ * otherwise.
+ */
+ bool psz;
+ /*
+ * True if the size class is a small, bin, size class. False otherwise.
+ */
+ bool bin;
+ /* The slab page count if a small bin size class, 0 otherwise. */
+ int pgs;
+ /* Same as lg_delta if a lookup table size class, 0 otherwise. */
+ int lg_delta_lookup;
+};
+
+typedef struct sc_data_s sc_data_t;
+struct sc_data_s {
+ /* Number of tiny size classes. */
+ unsigned ntiny;
+ /* Number of bins supported by the lookup table. */
+ int nlbins;
+ /* Number of small size class bins. */
+ int nbins;
+ /* Number of size classes. */
+ int nsizes;
+ /* Number of bits required to store NSIZES. */
+ int lg_ceil_nsizes;
+ /* Number of size classes that are a multiple of (1U << LG_PAGE). */
+ unsigned npsizes;
+ /* Lg of maximum tiny size class (or -1, if none). */
+ int lg_tiny_maxclass;
+ /* Maximum size class included in lookup table. */
+ size_t lookup_maxclass;
+ /* Maximum small size class. */
+ size_t small_maxclass;
+ /* Lg of minimum large size class. */
+ int lg_large_minclass;
+ /* The minimum large size class. */
+ size_t large_minclass;
+ /* Maximum (large) size class. */
+ size_t large_maxclass;
+ /* True if the sc_data_t has been initialized (for debugging only). */
+ bool initialized;
+
+ sc_t sc[SC_NSIZES];
+};
+
+size_t reg_size_compute(int lg_base, int lg_delta, int ndelta);
+void sc_data_init(sc_data_t *data);
+/*
+ * Updates slab sizes in [begin, end] to be pgs pages in length, if possible.
+ * Otherwise, does its best to accommodate the request.
+ */
+void sc_data_update_slab_size(sc_data_t *data, size_t begin, size_t end,
+ int pgs);
+void sc_boot(sc_data_t *data);
+
+#endif /* JEMALLOC_INTERNAL_SC_H */