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+/*
+ * Workingset detection
+ *
+ * Copyright (C) 2013 Red Hat, Inc., Johannes Weiner
+ */
+
+#include <linux/memcontrol.h>
+#include <linux/writeback.h>
+#include <linux/pagemap.h>
+#include <linux/atomic.h>
+#include <linux/module.h>
+#include <linux/swap.h>
+#include <linux/fs.h>
+#include <linux/mm.h>
+
+/*
+ * Double CLOCK lists
+ *
+ * Per zone, two clock lists are maintained for file pages: the
+ * inactive and the active list. Freshly faulted pages start out at
+ * the head of the inactive list and page reclaim scans pages from the
+ * tail. Pages that are accessed multiple times on the inactive list
+ * are promoted to the active list, to protect them from reclaim,
+ * whereas active pages are demoted to the inactive list when the
+ * active list grows too big.
+ *
+ * fault ------------------------+
+ * |
+ * +--------------+ | +-------------+
+ * reclaim <- | inactive | <-+-- demotion | active | <--+
+ * +--------------+ +-------------+ |
+ * | |
+ * +-------------- promotion ------------------+
+ *
+ *
+ * Access frequency and refault distance
+ *
+ * A workload is thrashing when its pages are frequently used but they
+ * are evicted from the inactive list every time before another access
+ * would have promoted them to the active list.
+ *
+ * In cases where the average access distance between thrashing pages
+ * is bigger than the size of memory there is nothing that can be
+ * done - the thrashing set could never fit into memory under any
+ * circumstance.
+ *
+ * However, the average access distance could be bigger than the
+ * inactive list, yet smaller than the size of memory. In this case,
+ * the set could fit into memory if it weren't for the currently
+ * active pages - which may be used more, hopefully less frequently:
+ *
+ * +-memory available to cache-+
+ * | |
+ * +-inactive------+-active----+
+ * a b | c d e f g h i | J K L M N |
+ * +---------------+-----------+
+ *
+ * It is prohibitively expensive to accurately track access frequency
+ * of pages. But a reasonable approximation can be made to measure
+ * thrashing on the inactive list, after which refaulting pages can be
+ * activated optimistically to compete with the existing active pages.
+ *
+ * Approximating inactive page access frequency - Observations:
+ *
+ * 1. When a page is accessed for the first time, it is added to the
+ * head of the inactive list, slides every existing inactive page
+ * towards the tail by one slot, and pushes the current tail page
+ * out of memory.
+ *
+ * 2. When a page is accessed for the second time, it is promoted to
+ * the active list, shrinking the inactive list by one slot. This
+ * also slides all inactive pages that were faulted into the cache
+ * more recently than the activated page towards the tail of the
+ * inactive list.
+ *
+ * Thus:
+ *
+ * 1. The sum of evictions and activations between any two points in
+ * time indicate the minimum number of inactive pages accessed in
+ * between.
+ *
+ * 2. Moving one inactive page N page slots towards the tail of the
+ * list requires at least N inactive page accesses.
+ *
+ * Combining these:
+ *
+ * 1. When a page is finally evicted from memory, the number of
+ * inactive pages accessed while the page was in cache is at least
+ * the number of page slots on the inactive list.
+ *
+ * 2. In addition, measuring the sum of evictions and activations (E)
+ * at the time of a page's eviction, and comparing it to another
+ * reading (R) at the time the page faults back into memory tells
+ * the minimum number of accesses while the page was not cached.
+ * This is called the refault distance.
+ *
+ * Because the first access of the page was the fault and the second
+ * access the refault, we combine the in-cache distance with the
+ * out-of-cache distance to get the complete minimum access distance
+ * of this page:
+ *
+ * NR_inactive + (R - E)
+ *
+ * And knowing the minimum access distance of a page, we can easily
+ * tell if the page would be able to stay in cache assuming all page
+ * slots in the cache were available:
+ *
+ * NR_inactive + (R - E) <= NR_inactive + NR_active
+ *
+ * which can be further simplified to
+ *
+ * (R - E) <= NR_active
+ *
+ * Put into words, the refault distance (out-of-cache) can be seen as
+ * a deficit in inactive list space (in-cache). If the inactive list
+ * had (R - E) more page slots, the page would not have been evicted
+ * in between accesses, but activated instead. And on a full system,
+ * the only thing eating into inactive list space is active pages.
+ *
+ *
+ * Activating refaulting pages
+ *
+ * All that is known about the active list is that the pages have been
+ * accessed more than once in the past. This means that at any given
+ * time there is actually a good chance that pages on the active list
+ * are no longer in active use.
+ *
+ * So when a refault distance of (R - E) is observed and there are at
+ * least (R - E) active pages, the refaulting page is activated
+ * optimistically in the hope that (R - E) active pages are actually
+ * used less frequently than the refaulting page - or even not used at
+ * all anymore.
+ *
+ * If this is wrong and demotion kicks in, the pages which are truly
+ * used more frequently will be reactivated while the less frequently
+ * used once will be evicted from memory.
+ *
+ * But if this is right, the stale pages will be pushed out of memory
+ * and the used pages get to stay in cache.
+ *
+ *
+ * Implementation
+ *
+ * For each zone's file LRU lists, a counter for inactive evictions
+ * and activations is maintained (zone->inactive_age).
+ *
+ * On eviction, a snapshot of this counter (along with some bits to
+ * identify the zone) is stored in the now empty page cache radix tree
+ * slot of the evicted page. This is called a shadow entry.
+ *
+ * On cache misses for which there are shadow entries, an eligible
+ * refault distance will immediately activate the refaulting page.
+ */
+
+static void *pack_shadow(unsigned long eviction, struct zone *zone)
+{
+ eviction = (eviction << NODES_SHIFT) | zone_to_nid(zone);
+ eviction = (eviction << ZONES_SHIFT) | zone_idx(zone);
+ eviction = (eviction << RADIX_TREE_EXCEPTIONAL_SHIFT);
+
+ return (void *)(eviction | RADIX_TREE_EXCEPTIONAL_ENTRY);
+}
+
+static void unpack_shadow(void *shadow,
+ struct zone **zone,
+ unsigned long *distance)
+{
+ unsigned long entry = (unsigned long)shadow;
+ unsigned long eviction;
+ unsigned long refault;
+ unsigned long mask;
+ int zid, nid;
+
+ entry >>= RADIX_TREE_EXCEPTIONAL_SHIFT;
+ zid = entry & ((1UL << ZONES_SHIFT) - 1);
+ entry >>= ZONES_SHIFT;
+ nid = entry & ((1UL << NODES_SHIFT) - 1);
+ entry >>= NODES_SHIFT;
+ eviction = entry;
+
+ *zone = NODE_DATA(nid)->node_zones + zid;
+
+ refault = atomic_long_read(&(*zone)->inactive_age);
+ mask = ~0UL >> (NODES_SHIFT + ZONES_SHIFT +
+ RADIX_TREE_EXCEPTIONAL_SHIFT);
+ /*
+ * The unsigned subtraction here gives an accurate distance
+ * across inactive_age overflows in most cases.
+ *
+ * There is a special case: usually, shadow entries have a
+ * short lifetime and are either refaulted or reclaimed along
+ * with the inode before they get too old. But it is not
+ * impossible for the inactive_age to lap a shadow entry in
+ * the field, which can then can result in a false small
+ * refault distance, leading to a false activation should this
+ * old entry actually refault again. However, earlier kernels
+ * used to deactivate unconditionally with *every* reclaim
+ * invocation for the longest time, so the occasional
+ * inappropriate activation leading to pressure on the active
+ * list is not a problem.
+ */
+ *distance = (refault - eviction) & mask;
+}
+
+/**
+ * workingset_eviction - note the eviction of a page from memory
+ * @mapping: address space the page was backing
+ * @page: the page being evicted
+ *
+ * Returns a shadow entry to be stored in @mapping->page_tree in place
+ * of the evicted @page so that a later refault can be detected.
+ */
+void *workingset_eviction(struct address_space *mapping, struct page *page)
+{
+ struct zone *zone = page_zone(page);
+ unsigned long eviction;
+
+ eviction = atomic_long_inc_return(&zone->inactive_age);
+ return pack_shadow(eviction, zone);
+}
+
+/**
+ * workingset_refault - evaluate the refault of a previously evicted page
+ * @shadow: shadow entry of the evicted page
+ *
+ * Calculates and evaluates the refault distance of the previously
+ * evicted page in the context of the zone it was allocated in.
+ *
+ * Returns %true if the page should be activated, %false otherwise.
+ */
+bool workingset_refault(void *shadow)
+{
+ unsigned long refault_distance;
+ struct zone *zone;
+
+ unpack_shadow(shadow, &zone, &refault_distance);
+ inc_zone_state(zone, WORKINGSET_REFAULT);
+
+ if (refault_distance <= zone_page_state(zone, NR_ACTIVE_FILE)) {
+ inc_zone_state(zone, WORKINGSET_ACTIVATE);
+ return true;
+ }
+ return false;
+}
+
+/**
+ * workingset_activation - note a page activation
+ * @page: page that is being activated
+ */
+void workingset_activation(struct page *page)
+{
+ atomic_long_inc(&page_zone(page)->inactive_age);
+}