| asynced1 ↔ new_dent.dentry?, asynced0 ↔ old_ino = new_ino ∧ new_dent = old_dent, dirs0[m0] = mkdir(m6, md4, # links(m0, dirs0), m9, entries), dirs0[m] = mkdir(m2, md7, # links(m, dirs0), m5, entries1), dirs0[entries1[str]] = mkdir(m1, md6, # links(entries1[str], dirs0), m3, ∅), dirs0[entries[str0]] = mkdir(m4, md3, # links(entries[str0], dirs0), m7, entries2), asynced0, ¬ asynced1, dirs = dirs2[new_ino, dirs2[new_ino].size:= (dirs2[new_ino].size + 1)], dirs1 = dirs0[old_ino, dirs0[old_ino].entries:= (dirs0[old_ino].entries -- old_dent.name)], dirs2 = dirs1[new_ino, dirs1[new_ino].entries:= dirs1[new_ino].entries[new_dent.name, old_dent.ino]], new_child_inode = mkinode(entries1[str], md, true, # links(entries1[str], dirs0), m3, m1), new_dent = mkdentry(str, entries1[str]), new_ino = new_parent_inode.ino, new_parent_inode = mkinode(m, md1, true, # links(m, dirs0), m5, m2), old_child_inode = mkinode(entries[str0], md0, true, # links(entries[str0], dirs0), m7, m4), old_dent = mkdentry(str0, entries[str0]), old_ino = old_parent_inode.ino, old_parent_inode = mkinode(m0, md2, true, # links(m0, dirs0), m9, m6), old_dent.dentry?, afs-cons(dirs0, files), dcache-cons(dcache, dirs0, files), icache-cons(icache, dirs0, files), pcache-cons(pcache, dirs0, files), pre-rename(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, dirs0, files), synced(dirs0, icache, pcache), old_dent.ino ∈ dirs, str ∈ entries1, m0 ∈ dirs0, m ∈ dirs0, entries[str0] ∈ dirs0, entries1[str] ∈ dirs0, str0 ∈ entries, m = m0 → md1 = md2, asynced2 → synced(files, icache, pcache), links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ [dirs[new_ino].nsubdirs := dirs[new_ino].nsubdirs + 1; new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); afs_inode_sync#(old_parent_inode; dirs, files); afs_inode_sync#(new_parent_inode; dirs, files); if asynced1 then {afs_inode_sync#(new_child_inode; dirs, files); new_child_inode := getinode(new_child_inode.ino, dirs, files)}; old_parent_inode := getinode(old_parent_inode.ino, dirs, files); new_parent_inode := getinode(new_parent_inode.ino, dirs, files); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files) → ⟪if err = ESUCCESS then let asynced = false in {icache_set#(old_parent_inode, asynced; err, icache); icache_set#(new_parent_inode, asynced; err, icache); if true then icache_set#(new_child_inode, asynced; err, icache); dcache_delete#(old_parent_inode.ino, old_dent.name; err, dcache); dcache_set#(new_parent_inode.ino, new_dent.name, new_dent; err, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))), entries1[str] = ROOT_INO |
asynced0 ↔ old_ino = new_ino ∧ new_dent = old_dent, asynced1 ↔ new_dent.dentry?, dirs0[entries[str0]] = mkdir(m4, md3, # links(entries[str0], dirs0), m7, entries2), dirs0[entries1[str]] = mkdir(m1, md6, # links(entries1[str], dirs0), m3, ∅), dirs0[m] = mkdir(m2, md7, # links(m, dirs0), m5, entries1), dirs0[m0] = mkdir(m6, md4, # links(m0, dirs0), m9, entries), asynced0, ¬ asynced1, dirs = dirs3[new_ino, dirs3[new_ino].nsubdirs:= (dirs3[new_ino].nsubdirs + 1)], dirs1 = dirs0[old_ino, dirs0[old_ino].entries:= (dirs0[old_ino].entries -- old_dent.name)], dirs2 = dirs1[new_ino, dirs1[new_ino].entries:= dirs1[new_ino].entries[new_dent.name, old_dent.ino]], dirs3 = dirs2[new_ino, dirs2[new_ino].size:= (dirs2[new_ino].size + 1)], new_child_inode = mkinode(entries1[str], md, true, # links(entries1[str], dirs0), m3, m1), new_dent = mkdentry(str, entries1[str]), new_ino = new_parent_inode.ino, new_parent_inode = mkinode(m, md1, true, # links(m, dirs0), m5, m2), old_child_inode = mkinode(entries[str0], md0, true, # links(entries[str0], dirs0), m7, m4), old_dent = mkdentry(str0, entries[str0]), old_ino = old_parent_inode.ino, old_parent_inode = mkinode(m0, md2, true, # links(m0, dirs0), m9, m6), old_dent.dentry?, afs-cons(dirs0, files), dcache-cons(dcache, dirs0, files), icache-cons(icache, dirs0, files), pcache-cons(pcache, dirs0, files), pre-rename(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, dirs0, files), synced(dirs0, icache, pcache), str0 ∈ entries, entries1[str] ∈ dirs0, entries[str0] ∈ dirs0, m ∈ dirs0, m0 ∈ dirs0, str ∈ entries1, old_dent.ino ∈ dirs3, asynced2 → synced(files, icache, pcache), m = m0 → md1 = md2, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO, links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO ⊦ [new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); afs_inode_sync#(old_parent_inode; dirs, files); afs_inode_sync#(new_parent_inode; dirs, files); if asynced1 then {afs_inode_sync#(new_child_inode; dirs, files); new_child_inode := getinode(new_child_inode.ino, dirs, files)}; old_parent_inode := getinode(old_parent_inode.ino, dirs, files); new_parent_inode := getinode(new_parent_inode.ino, dirs, files); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files) → ⟪if err = ESUCCESS then let asynced = false in {icache_set#(old_parent_inode, asynced; err, icache); icache_set#(new_parent_inode, asynced; err, icache); if true then icache_set#(new_child_inode, asynced; err, icache); dcache_delete#(old_parent_inode.ino, old_dent.name; err, dcache); dcache_set#(new_parent_inode.ino, new_dent.name, new_dent; err, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))), entries1[str] = ROOT_INO