/* Binary tree stuff for auxiliary search trees */
+/*
+ * return array index next to j when does in-order traverse
+ * of a binary tree which is stored in a linear array
+ */
static unsigned inorder_next(unsigned j, unsigned size)
{
if (j * 2 + 1 < size) {
return j;
}
+/*
+ * return array index previous to j when does in-order traverse
+ * of a binary tree which is stored in a linear array
+ */
static unsigned inorder_prev(unsigned j, unsigned size)
{
if (j * 2 < size) {
return j;
}
+/*
+ * Return the cacheline index in bset_tree->data, where j is index
+ * from a linear array which stores the auxiliar binary tree
+ */
static unsigned to_inorder(unsigned j, struct bset_tree *t)
{
return __to_inorder(j, t->size, t->extra);
return j;
}
+/*
+ * Return an index from a linear array which stores the auxiliar binary
+ * tree, j is the cacheline index of t->data.
+ */
static unsigned inorder_to_tree(unsigned j, struct bset_tree *t)
{
return __inorder_to_tree(j, t->size, t->extra);
return low;
}
+/*
+ * Calculate mantissa value for struct bkey_float.
+ * If most significant bit of f->exponent is not set, then
+ * - f->exponent >> 6 is 0
+ * - p[0] points to bkey->low
+ * - p[-1] borrows bits from KEY_INODE() of bkey->high
+ * if most isgnificant bits of f->exponent is set, then
+ * - f->exponent >> 6 is 1
+ * - p[0] points to bits from KEY_INODE() of bkey->high
+ * - p[-1] points to other bits from KEY_INODE() of
+ * bkey->high too.
+ * See make_bfloat() to check when most significant bit of f->exponent
+ * is set or not.
+ */
static inline unsigned bfloat_mantissa(const struct bkey *k,
struct bkey_float *f)
{
BUG_ON(m < l || m > r);
BUG_ON(bkey_next(p) != m);
+ /*
+ * If l and r have different KEY_INODE values (different backing
+ * device), f->exponent records how many least significant bits
+ * are different in KEY_INODE values and sets most significant
+ * bits to 1 (by +64).
+ * If l and r have same KEY_INODE value, f->exponent records
+ * how many different bits in least significant bits of bkey->low.
+ * See bfloat_mantiss() how the most significant bit of
+ * f->exponent is used to calculate bfloat mantissa value.
+ */
if (KEY_INODE(l) != KEY_INODE(r))
f->exponent = fls64(KEY_INODE(r) ^ KEY_INODE(l)) + 64;
else
}
EXPORT_SYMBOL(bch_bset_init_next);
+/*
+ * Build auxiliary binary tree 'struct bset_tree *t', this tree is used to
+ * accelerate bkey search in a btree node (pointed by bset_tree->data in
+ * memory). After search in the auxiliar tree by calling bset_search_tree(),
+ * a struct bset_search_iter is returned which indicates range [l, r] from
+ * bset_tree->data where the searching bkey might be inside. Then a followed
+ * linear comparison does the exact search, see __bch_bset_search() for how
+ * the auxiliary tree is used.
+ */
void bch_bset_build_written_tree(struct btree_keys *b)
{
struct bset_tree *t = bset_tree_last(b);
unsigned inorder, j, n = 1;
do {
+ /*
+ * A bit trick here.
+ * If p < t->size, (int)(p - t->size) is a minus value and
+ * the most significant bit is set, right shifting 31 bits
+ * gets 1. If p >= t->size, the most significant bit is
+ * not set, right shifting 31 bits gets 0.
+ * So the following 2 lines equals to
+ * if (p >= t->size)
+ * p = 0;
+ * but a branch instruction is avoided.
+ */
unsigned p = n << 4;
p &= ((int) (p - t->size)) >> 31;
f = &t->tree[j];
/*
+ * Similar bit trick, use subtract operation to avoid a branch
+ * instruction.
+ *
* n = (f->mantissa > bfloat_mantissa())
* ? j * 2
* : j * 2 + 1;