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[Qemu-devel] [PATCH v17 1/6] lib/xbitmap: Introduce xbitmap


From: Wei Wang
Subject: [Qemu-devel] [PATCH v17 1/6] lib/xbitmap: Introduce xbitmap
Date: Fri, 3 Nov 2017 16:13:01 +0800

From: Matthew Wilcox <address@hidden>

The eXtensible Bitmap is a sparse bitmap representation which is
efficient for set bits which tend to cluster.  It supports up to
'unsigned long' worth of bits, and this commit adds the bare bones --
xb_set_bit(), xb_clear_bit(), xb_clear_bit_range(), xb_test_bit(),
xb_find_next_set_bit(), xb_find_next_zero_bit().

More possible optimizations to add in the future:
1) xb_set_bit_range: set a range of bits.
2) when searching a bit, if the bit is not found in the slot, move on to
the next slot directly.
3) add Tags to help searching.

Signed-off-by: Wei Wang <address@hidden>
Cc: Matthew Wilcox <address@hidden>
Cc: Andrew Morton <address@hidden>
Cc: Michal Hocko <address@hidden>
Cc: Michael S. Tsirkin <address@hidden>
Cc: Tetsuo Handa <address@hidden>

v16->v17 ChangeLog:
1) xb_preload: allocate ida bitmap before __radix_tree_preload() to avoid
kmalloc with preemption disabled. Also change this function to return with
preemption not disabled on error.
2) xb_preload_and_set_bit: a wrapper of xb_preload and xb_set_bit, for
the convenience of usage.

v15->v16 ChangeLog:
1) coding style - separate small functions for bit set/clear/test;
2) Clear a range of bits in a more efficient way:
   A) clear a range of bits from the same ida bitmap directly rather than
      search the bitmap again for each bit;
   B) when the range of bits to clear covers the whole ida bitmap,
      directly free the bitmap - no need to zero the bitmap first.
3) more efficient bit searching, like 2.A.
---
 include/linux/radix-tree.h |   2 +
 include/linux/xbitmap.h    |  67 +++++++++++
 lib/Makefile               |   2 +-
 lib/radix-tree.c           |  51 +++++++-
 lib/xbitmap.c              | 283 +++++++++++++++++++++++++++++++++++++++++++++
 5 files changed, 402 insertions(+), 3 deletions(-)
 create mode 100644 include/linux/xbitmap.h
 create mode 100644 lib/xbitmap.c

diff --git a/include/linux/radix-tree.h b/include/linux/radix-tree.h
index 567ebb5..1d6d6f6 100644
--- a/include/linux/radix-tree.h
+++ b/include/linux/radix-tree.h
@@ -309,6 +309,8 @@ void radix_tree_iter_replace(struct radix_tree_root *,
                const struct radix_tree_iter *, void __rcu **slot, void *entry);
 void radix_tree_replace_slot(struct radix_tree_root *,
                             void __rcu **slot, void *entry);
+bool __radix_tree_delete(struct radix_tree_root *root,
+                        struct radix_tree_node *node, void __rcu **slot);
 void __radix_tree_delete_node(struct radix_tree_root *,
                              struct radix_tree_node *,
                              radix_tree_update_node_t update_node,
diff --git a/include/linux/xbitmap.h b/include/linux/xbitmap.h
new file mode 100644
index 0000000..00b59c3
--- /dev/null
+++ b/include/linux/xbitmap.h
@@ -0,0 +1,67 @@
+/*
+ * eXtensible Bitmaps
+ * Copyright (c) 2017 Microsoft Corporation <address@hidden>
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License as
+ * published by the Free Software Foundation; either version 2 of the
+ * License, or (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * eXtensible Bitmaps provide an unlimited-size sparse bitmap facility.
+ * All bits are initially zero.
+ */
+
+#ifndef __XBITMAP_H__
+#define __XBITMAP_H__
+
+#include <linux/idr.h>
+
+struct xb {
+       struct radix_tree_root xbrt;
+};
+
+#define XB_INIT {                                                      \
+       .xbrt = RADIX_TREE_INIT(IDR_RT_MARKER | GFP_NOWAIT),            \
+}
+#define DEFINE_XB(name)                struct xb name = XB_INIT
+
+static inline void xb_init(struct xb *xb)
+{
+       INIT_RADIX_TREE(&xb->xbrt, IDR_RT_MARKER | GFP_NOWAIT);
+}
+
+int xb_set_bit(struct xb *xb, unsigned long bit);
+int xb_preload_and_set_bit(struct xb *xb, unsigned long bit, gfp_t gfp);
+bool xb_test_bit(struct xb *xb, unsigned long bit);
+void xb_clear_bit(struct xb *xb, unsigned long bit);
+unsigned long xb_find_next_set_bit(struct xb *xb, unsigned long start,
+                                  unsigned long end);
+unsigned long xb_find_next_zero_bit(struct xb *xb, unsigned long start,
+                                   unsigned long end);
+void xb_clear_bit_range(struct xb *xb, unsigned long start, unsigned long end);
+
+/* Check if the xb tree is empty */
+static inline bool xb_is_empty(const struct xb *xb)
+{
+       return radix_tree_empty(&xb->xbrt);
+}
+
+bool xb_preload(gfp_t gfp);
+
+/**
+ * xb_preload_end - end preload section started with xb_preload()
+ *
+ * Each xb_preload() should be matched with an invocation of this
+ * function. See xb_preload() for details.
+ */
+static inline void xb_preload_end(void)
+{
+       preempt_enable();
+}
+
+#endif
diff --git a/lib/Makefile b/lib/Makefile
index dafa796..082361b 100644
--- a/lib/Makefile
+++ b/lib/Makefile
@@ -18,7 +18,7 @@ KCOV_INSTRUMENT_dynamic_debug.o := n
 
 lib-y := ctype.o string.o vsprintf.o cmdline.o \
         rbtree.o radix-tree.o dump_stack.o timerqueue.o\
-        idr.o int_sqrt.o extable.o \
+        idr.o xbitmap.o int_sqrt.o extable.o \
         sha1.o chacha20.o irq_regs.o argv_split.o \
         flex_proportions.o ratelimit.o show_mem.o \
         is_single_threaded.o plist.o decompress.o kobject_uevent.o \
diff --git a/lib/radix-tree.c b/lib/radix-tree.c
index 8b1feca..269a5cc 100644
--- a/lib/radix-tree.c
+++ b/lib/radix-tree.c
@@ -78,6 +78,19 @@ static struct kmem_cache *radix_tree_node_cachep;
 #define IDA_PRELOAD_SIZE       (IDA_MAX_PATH * 2 - 1)
 
 /*
+ * The xbitmap implementation supports up to ULONG_MAX bits, and it is
+ * implemented based on ida bitmaps. So, given an unsigned long index,
+ * the high order XB_INDEX_BITS bits of the index is used to find the
+ * corresponding item (i.e. ida bitmap) from the radix tree, and the low
+ * order (i.e. ilog2(IDA_BITMAP_BITS)) bits of the index are indexed into
+ * the ida bitmap to find the bit.
+ */
+#define XB_INDEX_BITS          (BITS_PER_LONG - ilog2(IDA_BITMAP_BITS))
+#define XB_MAX_PATH            (DIV_ROUND_UP(XB_INDEX_BITS, \
+                                             RADIX_TREE_MAP_SHIFT))
+#define XB_PRELOAD_SIZE                (XB_MAX_PATH * 2 - 1)
+
+/*
  * Per-cpu pool of preloaded nodes
  */
 struct radix_tree_preload {
@@ -840,6 +853,8 @@ int __radix_tree_create(struct radix_tree_root *root, 
unsigned long index,
                                                        offset, 0, 0);
                        if (!child)
                                return -ENOMEM;
+                       if (is_idr(root))
+                               all_tag_set(child, IDR_FREE);
                        rcu_assign_pointer(*slot, node_to_entry(child));
                        if (node)
                                node->count++;
@@ -1986,8 +2001,8 @@ void __radix_tree_delete_node(struct radix_tree_root 
*root,
        delete_node(root, node, update_node, private);
 }
 
-static bool __radix_tree_delete(struct radix_tree_root *root,
-                               struct radix_tree_node *node, void __rcu **slot)
+bool __radix_tree_delete(struct radix_tree_root *root,
+                        struct radix_tree_node *node, void __rcu **slot)
 {
        void *old = rcu_dereference_raw(*slot);
        int exceptional = radix_tree_exceptional_entry(old) ? -1 : 0;
@@ -2005,6 +2020,38 @@ static bool __radix_tree_delete(struct radix_tree_root 
*root,
 }
 
 /**
+ *  xb_preload - preload for xb_set_bit()
+ *  @gfp_mask: allocation mask to use for preloading
+ *
+ * Preallocate memory to use for the next call to xb_set_bit(). On success,
+ * return true, with preemption disabled. On error, return false with
+ * preemption not disabled.
+ */
+bool xb_preload(gfp_t gfp)
+{
+       if (!this_cpu_read(ida_bitmap)) {
+               struct ida_bitmap *bitmap = kmalloc(sizeof(*bitmap), gfp);
+
+               if (!bitmap)
+                       return false;
+               /*
+                * The per-CPU variable is updated with preemption enabled.
+                * If the calling task is unlucky to be scheduled to another
+                * CPU which has no ida_bitmap allocation, it will be detected
+                * when setting a bit (i.e. __xb_set_bit()).
+                */
+               bitmap = this_cpu_cmpxchg(ida_bitmap, NULL, bitmap);
+               kfree(bitmap);
+       }
+
+       if (__radix_tree_preload(gfp, XB_PRELOAD_SIZE) < 0)
+               return false;
+
+       return true;
+}
+EXPORT_SYMBOL(xb_preload);
+
+/**
  * radix_tree_iter_delete - delete the entry at this iterator position
  * @root: radix tree root
  * @iter: iterator state
diff --git a/lib/xbitmap.c b/lib/xbitmap.c
new file mode 100644
index 0000000..3e891d6
--- /dev/null
+++ b/lib/xbitmap.c
@@ -0,0 +1,283 @@
+#include <linux/slab.h>
+#include <linux/xbitmap.h>
+
+/**
+ *  xb_set_bit - set a bit in the xbitmap
+ *  @xb: the xbitmap tree used to record the bit
+ *  @bit: index of the bit to set
+ *
+ * Returns: 0 on success; -EAGAIN on error, and the caller is expected to
+ * restart from xb_preload.
+ */
+int xb_set_bit(struct xb *xb, unsigned long bit)
+{
+       int err;
+       unsigned long index = bit / IDA_BITMAP_BITS;
+       struct radix_tree_root *root = &xb->xbrt;
+       struct radix_tree_node *node;
+       void **slot;
+       struct ida_bitmap *bitmap;
+       unsigned long ebit;
+
+       bit %= IDA_BITMAP_BITS;
+       ebit = bit + 2;
+
+       err = __radix_tree_create(root, index, 0, &node, &slot);
+       if (err)
+               return err;
+       bitmap = rcu_dereference_raw(*slot);
+       if (radix_tree_exception(bitmap)) {
+               unsigned long tmp = (unsigned long)bitmap;
+
+               if (ebit < BITS_PER_LONG) {
+                       tmp |= 1UL << ebit;
+                       rcu_assign_pointer(*slot, (void *)tmp);
+                       return 0;
+               }
+               bitmap = this_cpu_xchg(ida_bitmap, NULL);
+               if (!bitmap)
+                       return -EAGAIN;
+               memset(bitmap, 0, sizeof(*bitmap));
+               bitmap->bitmap[0] = tmp >> RADIX_TREE_EXCEPTIONAL_SHIFT;
+               rcu_assign_pointer(*slot, bitmap);
+       }
+
+       if (!bitmap) {
+               if (ebit < BITS_PER_LONG) {
+                       bitmap = (void *)((1UL << ebit) |
+                                       RADIX_TREE_EXCEPTIONAL_ENTRY);
+                       __radix_tree_replace(root, node, slot, bitmap, NULL,
+                                               NULL);
+                       return 0;
+               }
+               bitmap = this_cpu_xchg(ida_bitmap, NULL);
+               if (!bitmap)
+                       return -EAGAIN;
+               memset(bitmap, 0, sizeof(*bitmap));
+               __radix_tree_replace(root, node, slot, bitmap, NULL, NULL);
+       }
+
+       __set_bit(bit, bitmap->bitmap);
+       return 0;
+}
+EXPORT_SYMBOL(xb_set_bit);
+
+/**
+ *  xb_preload_and_set_bit - preload the memory and set a bit in the xbitmap
+ *  @xb: the xbitmap tree used to record the bit
+ *  @bit: index of the bit to set
+ *
+ * A wrapper of the xb_preload() and xb_set_bit().
+ * Returns: 0 on success; -EAGAIN or -ENOMEM on error.
+ */
+int xb_preload_and_set_bit(struct xb *xb, unsigned long bit, gfp_t gfp)
+{
+       int ret = 0;
+
+       if (!xb_preload(gfp))
+               return -ENOMEM;
+
+       ret = xb_set_bit(xb, bit);
+       xb_preload_end();
+
+       return ret;
+}
+EXPORT_SYMBOL(xb_preload_and_set_bit);
+
+/**
+ * xb_clear_bit - clear a bit in the xbitmap
+ * @xb: the xbitmap tree used to record the bit
+ * @bit: index of the bit to clear
+ *
+ * This function is used to clear a bit in the xbitmap. If all the bits of the
+ * bitmap are 0, the bitmap will be freed.
+ */
+void xb_clear_bit(struct xb *xb, unsigned long bit)
+{
+       unsigned long index = bit / IDA_BITMAP_BITS;
+       struct radix_tree_root *root = &xb->xbrt;
+       struct radix_tree_node *node;
+       void **slot;
+       struct ida_bitmap *bitmap;
+       unsigned long ebit;
+
+       bit %= IDA_BITMAP_BITS;
+       ebit = bit + 2;
+
+       bitmap = __radix_tree_lookup(root, index, &node, &slot);
+       if (radix_tree_exception(bitmap)) {
+               unsigned long tmp = (unsigned long)bitmap;
+
+               if (ebit >= BITS_PER_LONG)
+                       return;
+               tmp &= ~(1UL << ebit);
+               if (tmp == RADIX_TREE_EXCEPTIONAL_ENTRY)
+                       __radix_tree_delete(root, node, slot);
+               else
+                       rcu_assign_pointer(*slot, (void *)tmp);
+               return;
+       }
+
+       if (!bitmap)
+               return;
+
+       __clear_bit(bit, bitmap->bitmap);
+       if (bitmap_empty(bitmap->bitmap, IDA_BITMAP_BITS)) {
+               kfree(bitmap);
+               __radix_tree_delete(root, node, slot);
+       }
+}
+EXPORT_SYMBOL(xb_clear_bit);
+
+/**
+ * xb_clear_bit - clear a range of bits in the xbitmap
+ * @start: the start of the bit range, inclusive
+ * @end: the end of the bit range, inclusive
+ *
+ * This function is used to clear a bit in the xbitmap. If all the bits of the
+ * bitmap are 0, the bitmap will be freed.
+ */
+void xb_clear_bit_range(struct xb *xb, unsigned long start, unsigned long end)
+{
+       struct radix_tree_root *root = &xb->xbrt;
+       struct radix_tree_node *node;
+       void **slot;
+       struct ida_bitmap *bitmap;
+       unsigned int nbits;
+
+       for (; start < end; start = (start | (IDA_BITMAP_BITS - 1)) + 1) {
+               unsigned long index = start / IDA_BITMAP_BITS;
+               unsigned long bit = start % IDA_BITMAP_BITS;
+
+               bitmap = __radix_tree_lookup(root, index, &node, &slot);
+               if (radix_tree_exception(bitmap)) {
+                       unsigned long ebit = bit + 2;
+                       unsigned long tmp = (unsigned long)bitmap;
+
+                       nbits = min(end - start + 1, BITS_PER_LONG - ebit);
+
+                       if (ebit >= BITS_PER_LONG)
+                               continue;
+                       bitmap_clear(&tmp, ebit, nbits);
+                       if (tmp == RADIX_TREE_EXCEPTIONAL_ENTRY)
+                               __radix_tree_delete(root, node, slot);
+                       else
+                               rcu_assign_pointer(*slot, (void *)tmp);
+               } else if (bitmap) {
+                       nbits = min(end - start + 1, IDA_BITMAP_BITS - bit);
+
+                       if (nbits != IDA_BITMAP_BITS)
+                               bitmap_clear(bitmap->bitmap, bit, nbits);
+
+                       if (nbits == IDA_BITMAP_BITS ||
+                               bitmap_empty(bitmap->bitmap, IDA_BITMAP_BITS)) {
+                               kfree(bitmap);
+                               __radix_tree_delete(root, node, slot);
+                       }
+               }
+       }
+}
+EXPORT_SYMBOL(xb_clear_bit_range);
+
+/**
+ * xb_test_bit - test a bit in the xbitmap
+ * @xb: the xbitmap tree used to record the bit
+ * @bit: index of the bit to test
+ *
+ * This function is used to test a bit in the xbitmap.
+ * Returns: 1 if the bit is set, or 0 otherwise.
+ */
+bool xb_test_bit(struct xb *xb, unsigned long bit)
+{
+       unsigned long index = bit / IDA_BITMAP_BITS;
+       const struct radix_tree_root *root = &xb->xbrt;
+       struct ida_bitmap *bitmap = radix_tree_lookup(root, index);
+
+       bit %= IDA_BITMAP_BITS;
+
+       if (!bitmap)
+               return false;
+       if (radix_tree_exception(bitmap)) {
+               bit += RADIX_TREE_EXCEPTIONAL_SHIFT;
+               if (bit > BITS_PER_LONG)
+                       return false;
+               return (unsigned long)bitmap & (1UL << bit);
+       }
+
+       return test_bit(bit, bitmap->bitmap);
+}
+EXPORT_SYMBOL(xb_test_bit);
+
+static unsigned long xb_find_next_bit(struct xb *xb, unsigned long start,
+                                     unsigned long end, bool set)
+{
+       struct radix_tree_root *root = &xb->xbrt;
+       struct radix_tree_node *node;
+       void **slot;
+       struct ida_bitmap *bmap;
+       unsigned long ret = end + 1;
+
+       for (; start < end; start = (start | (IDA_BITMAP_BITS - 1)) + 1) {
+               unsigned long index = start / IDA_BITMAP_BITS;
+               unsigned long bit = start % IDA_BITMAP_BITS;
+
+               bmap = __radix_tree_lookup(root, index, &node, &slot);
+               if (radix_tree_exception(bmap)) {
+                       unsigned long tmp = (unsigned long)bmap;
+                       unsigned long ebit = bit + 2;
+
+                       if (ebit >= BITS_PER_LONG)
+                               continue;
+                       if (set)
+                               ret = find_next_bit(&tmp, BITS_PER_LONG, ebit);
+                       else
+                               ret = find_next_zero_bit(&tmp, BITS_PER_LONG,
+                                                        ebit);
+                       if (ret < BITS_PER_LONG)
+                               return ret - 2 + IDA_BITMAP_BITS * index;
+               } else if (bmap) {
+                       if (set)
+                               ret = find_next_bit(bmap->bitmap,
+                                                   IDA_BITMAP_BITS, bit);
+                       else
+                               ret = find_next_zero_bit(bmap->bitmap,
+                                                        IDA_BITMAP_BITS, bit);
+                       if (ret < IDA_BITMAP_BITS)
+                               return ret + index * IDA_BITMAP_BITS;
+               } else if (!bmap && !set) {
+                       return start;
+               }
+       }
+
+       return ret;
+}
+
+/**
+ * xb_find_next_set_bit - find the next set bit in a range
+ * @xb: the xbitmap to search
+ * @start: the start of the range, inclusive
+ * @end: the end of the range, inclusive
+ *
+ * Returns: the index of the found bit, or @end + 1 if no such bit is found.
+ */
+unsigned long xb_find_next_set_bit(struct xb *xb, unsigned long start,
+                                  unsigned long end)
+{
+       return xb_find_next_bit(xb, start, end, 1);
+}
+EXPORT_SYMBOL(xb_find_next_set_bit);
+
+/**
+ * xb_find_next_zero_bit - find the next zero bit in a range
+ * @xb: the xbitmap to search
+ * @start: the start of the range, inclusive
+ * @end: the end of the range, inclusive
+ *
+ * Returns: the index of the found bit, or @end + 1 if no such bit is found.
+ */
+unsigned long xb_find_next_zero_bit(struct xb *xb, unsigned long start,
+                                   unsigned long end)
+{
+       return xb_find_next_bit(xb, start, end, 0);
+}
+EXPORT_SYMBOL(xb_find_next_zero_bit);
-- 
2.7.4




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