| # buf1 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, buf = copy(buf3, 0, copy(buf1, 0, mkbuf(n + m2), 0, m2), m2, n), err = err0, m0 = # buf2, m1 = buffered(m4).leb, n0 = n + m2, n1 = 0, buffered(m4).isbuf?, m4 < # avol1, m2 < EB_PAGE_SIZE, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), is-aligned(n + m2, EB_PAGE_SIZE), # buf2 + n + m2 ≤ LEB_SIZE, n ≤ # buf3, # buf2 + m2 + n3 ≤ LEB_SIZE, EB_PAGE_SIZE ≤ m2 + n3, n3 ≤ # buf3, # avol1[m4].data + n3 ≤ LEB_SIZE, 0 + n ≤ # buf3, m2 + n ≤ # copy(buf1, 0, mkbuf(n + m2), 0, m2), 0 + m2 ≤ # buf1, 0 + m2 ≤ # mkbuf(n + m2), ∀ n2. ¬(n2 < n0 ∧ is-aligned(n2, EB_PAGE_SIZE)), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪wbuf := mkwbuf(buf1, # buf2, m2); rofs := false; if err = ESUCCESS then {wbuf.content := copy(buf3, n, wbuf.content, 0, (m2 + n3) % EB_PAGE_SIZE); wbuf.offset := wbuf.offset + align↓(m2 + n3, EB_PAGE_SIZE); wbuf.nbytes := (m2 + n3) % EB_PAGE_SIZE} else rofs := true⟫ ⟨rofs0 := false; awbuf_write_buf#(n3, buf3, adr0, m3, plog0, lpt0, ns0, buffered(m4); avol1, rofs0; err1)⟩ (abs(avol1, buffered(m4), wbuf, avol0, rofs) ∧ (rofs0 ↔ rofs) ∧ err = err1), err = ESUCCESS, n3 = 0 |
# avol0 = # avol1, # lpt0 = # avol1, # buf1 = EB_PAGE_SIZE, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, buf = copy(buf3, 0, copy(buf1, 0, mkbuf(n + m2), 0, m2), m2, n), err = err0, m0 = # buf2, m1 = buffered(m4).leb, n0 = n + m2, n1 = 0, wbuf = mkwbuf(buf1, # buf2, m2), buffered(m4).isbuf?, m2 < EB_PAGE_SIZE, m4 < # avol1, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(n + m2, EB_PAGE_SIZE), is-aligned(# buf2, EB_PAGE_SIZE), 0 + m2 ≤ # mkbuf(n + m2), 0 + m2 ≤ # buf1, m2 + n ≤ # copy(buf1, 0, mkbuf(n + m2), 0, m2), 0 + n ≤ # buf3, # avol1[m4].data + n3 ≤ LEB_SIZE, n3 ≤ # buf3, EB_PAGE_SIZE ≤ m2 + n3, # buf2 + m2 + n3 ≤ LEB_SIZE, n ≤ # buf3, # buf2 + n + m2 ≤ LEB_SIZE, ∀ n2. ¬(n2 < n0 ∧ is-aligned(n2, EB_PAGE_SIZE)), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪rofs := false; if err = ESUCCESS then {wbuf.content := copy(buf3, n, wbuf.content, 0, (m2 + n3) % EB_PAGE_SIZE); wbuf.offset := wbuf.offset + align↓(m2 + n3, EB_PAGE_SIZE); wbuf.nbytes := (m2 + n3) % EB_PAGE_SIZE} else rofs := true⟫ ⟨rofs0 := false; awbuf_write_buf#(n3, buf3, adr0, m3, plog0, lpt0, ns0, buffered(m4); avol1, rofs0; err1)⟩ (abs(avol1, buffered(m4), wbuf, avol0, rofs) ∧ (rofs0 ↔ rofs) ∧ err = err1), err = ESUCCESS, n3 = 0