(library (btree) (export btree-value-type btree-dev btree-root btree-open btree-lookup btree-each le64-type) (import (block-io) (chezscheme) (binary-format) (list-utils)) ;;; Unlike the kernel or c++ versions, I'm going to leave it to the hiogher ;;; levels to handle multi level btrees. (binary-format node-header (csum le32) (flags le32) (blocknr le64) (nr-entries le32) (max-entries le32) (value-size le32) (padding le32)) ;;; (unpacker bv offset) (define-record-type value-type (fields size unpacker)) (define (max-entries vt) (/ (- metadata-block-size node-header-size) (+ (size-type le64) (value-type-size vt)))) (define (key-offset index) (+ node-header-size (* (size-type le64) index))) (define (value-base header) (+ node-header-size (* (node-header-max-entries header) (size-type le64)))) (define (value-offset header vt index) (+ (value-base header) (* (value-type-size vt) index))) (define-record-type btree (fields value-type dev root)) (define (btree-open vt dev root) (make-btree vt dev root)) (define le64-type (make-value-type (size-type le64) (lambda (bv offset) (unpack-type bv offset le64)))) (define (internal-node? header) (bitwise-bit-set? (node-header-flags header) 0)) (define (leaf-node? header) (bitwise-bit-set? (node-header-flags header) 1)) (define (key-at node index) (unpack-type node (key-offset index) le64)) (define (value-at header node index vt) ((value-type-unpacker vt) node (value-offset header vt index))) ;;; Performs a binary search looking for the key and returns the index of the ;;; lower bound. (define (lower-bound node header key) (let loop ((lo 0) (hi (node-header-nr-entries header))) (if (<= (- hi lo) 1) lo (let* ((mid (+ lo (/ (- hi lo) 2))) (k (key-at node mid))) (cond ((= key k) mid) ((< k key) (loop mid hi)) (else (loop lo mid))))))) ;;;;---------------------------------------------- ;;;; Lookup ;;;;---------------------------------------------- (define (btree-lookup tree key default) (let ((dev (btree-dev tree)) (vt (btree-value-type tree))) (let loop ((root (btree-root tree))) (let* ((node (read-block dev root)) (header (node-header-unpack node 0)) (index (lower-bound node header key))) (if (internal-node? header) (loop (value-at header node index le64-type)) (if (= key (key-at node index)) (value-at header node index vt) default)))))) ;;;;---------------------------------------------- ;;;; Walking the btree ;;;;---------------------------------------------- ;;; Calls (fn key value) on every entry of the btree. (define (btree-each tree fn) (let ((vt (btree-value-type tree))) (define (visit-leaf node header) (let loop ((index 0)) (when (< index (node-header-nr-entries header)) (fn (key-at node index) (value-at header node index vt)) (loop (+ 1 index))))) (define (visit-internal node header) (let loop ((index 0)) (when (< index (node-header-nr-entries header)) (visit-node (value-at header node index le64-type)) (loop (+ 1 index))))) (define (visit-node root) (let* ((node (read-block (btree-dev tree) root)) (header (node-header-unpack node 0))) ((if (internal-node? header) visit-internal visit-leaf) node header))) (visit-node (btree-root tree)))))