From e7c033c3fa22a1e42d9ba57fed6ddecfbce3a01c Mon Sep 17 00:00:00 2001 From: Paolo Bonzini Date: Mon, 21 Jan 2013 17:09:40 +0100 Subject: add hierarchical bitmap data type and test cases HBitmaps provides an array of bits. The bits are stored as usual in an array of unsigned longs, but HBitmap is also optimized to provide fast iteration over set bits; going from one bit to the next is O(logB n) worst case, with B = sizeof(long) * CHAR_BIT: the result is low enough that the number of levels is in fact fixed. In order to do this, it stacks multiple bitmaps with progressively coarser granularity; in all levels except the last, bit N is set iff the N-th unsigned long is nonzero in the immediately next level. When iteration completes on the last level it can examine the 2nd-last level to quickly skip entire words, and even do so recursively to skip blocks of 64 words or powers thereof (32 on 32-bit machines). Given an index in the bitmap, it can be split in group of bits like this (for the 64-bit case): bits 0-57 => word in the last bitmap | bits 58-63 => bit in the word bits 0-51 => word in the 2nd-last bitmap | bits 52-57 => bit in the word bits 0-45 => word in the 3rd-last bitmap | bits 46-51 => bit in the word So it is easy to move up simply by shifting the index right by log2(BITS_PER_LONG) bits. To move down, you shift the index left similarly, and add the word index within the group. Iteration uses ffs (find first set bit) to find the next word to examine; this operation can be done in constant time in most current architectures. Setting or clearing a range of m bits on all levels, the work to perform is O(m + m/W + m/W^2 + ...), which is O(m) like on a regular bitmap. When iterating on a bitmap, each bit (on any level) is only visited once. Hence, The total cost of visiting a bitmap with m bits in it is the number of bits that are set in all bitmaps. Unless the bitmap is extremely sparse, this is also O(m + m/W + m/W^2 + ...), so the amortized cost of advancing from one bit to the next is usually constant. Reviewed-by: Laszlo Ersek Reviewed-by: Eric Blake Signed-off-by: Paolo Bonzini Signed-off-by: Kevin Wolf --- tests/Makefile | 3 +++ 1 file changed, 3 insertions(+) (limited to 'tests/Makefile') diff --git a/tests/Makefile b/tests/Makefile index d86e95a400..b3a6d8697b 100644 --- a/tests/Makefile +++ b/tests/Makefile @@ -45,6 +45,8 @@ gcov-files-test-aio-$(CONFIG_WIN32) = aio-win32.c gcov-files-test-aio-$(CONFIG_POSIX) = aio-posix.c check-unit-y += tests/test-thread-pool$(EXESUF) gcov-files-test-thread-pool-y = thread-pool.c +gcov-files-test-hbitmap-y = util/hbitmap.c +check-unit-y += tests/test-hbitmap$(EXESUF) check-block-$(CONFIG_POSIX) += tests/qemu-iotests-quick.sh @@ -86,6 +88,7 @@ tests/test-coroutine$(EXESUF): tests/test-coroutine.o $(block-obj-y) libqemuutil tests/test-aio$(EXESUF): tests/test-aio.o $(block-obj-y) libqemuutil.a libqemustub.a tests/test-thread-pool$(EXESUF): tests/test-thread-pool.o $(block-obj-y) libqemuutil.a libqemustub.a tests/test-iov$(EXESUF): tests/test-iov.o libqemuutil.a +tests/test-hbitmap$(EXESUF): tests/test-hbitmap.o libqemuutil.a libqemustub.a tests/test-qapi-types.c tests/test-qapi-types.h :\ $(SRC_PATH)/qapi-schema-test.json $(SRC_PATH)/scripts/qapi-types.py -- cgit v1.2.3