Upload files to "objdump-dlx-calc-poc/tools"

2026-06-29 16:54:42 +00:00
parent 9f50af02fa
commit 7d59494b53
2 changed files with 190 additions and 0 deletions
@@ -0,0 +1,31 @@
+#!/usr/bin/env python3
+from collections import Counter
+
+
+STDERR = 0x2044E0
+SYSTEM = 0x58750
+PAGE = 0x1000
+
+
+def be_from_le32(value):
+    return int.from_bytes((value & 0xFFFFFFFF).to_bytes(4, "little"), "big")
+
+
+def delta_for_base(base):
+    src = be_from_le32((base + STDERR) & 0xFFFFFFFF)
+    dst = be_from_le32((base + SYSTEM) & 0xFFFFFFFF)
+    return (dst - src) & 0xFFFFFFFF
+
+
+def main():
+    counts = Counter(delta_for_base(base) for base in range(0, 1 << 32, PAGE))
+    total = sum(counts.values())
+    covered = 0
+    for delta, count in counts.most_common():
+        covered += count
+        print(f"0x{delta:08x} pages={count} coverage={count / total:.6f} cumulative={covered / total:.6f}")
+    print(f"unique={len(counts)} total_pages={total}")
+
+
+if __name__ == "__main__":
+    main()
@@ -0,0 +1,159 @@
+#!/usr/bin/env python3
+import argparse
+from itertools import product
+
+from z3 import BitVec, BitVecVal, Extract, Solver, ZeroExt, sat
+
+
+STDERR = 0x2044E0
+SYSTEM = 0x58750
+
+
+def bytes_from_word32(x):
+    return [(x >> (8 * i)) & 0xFF for i in range(4)]
+
+
+def z3_input(base):
+    p = (base + STDERR) & 0xFFFFFFFF
+    p = BitVecVal(p, 32)
+    return [Extract(8 * i + 7, 8 * i, p) for i in range(4)]
+
+
+def z3_target(base):
+    s = (base + SYSTEM) & 0xFFFFFFFF
+    s = BitVecVal(s, 32)
+    return [Extract(8 * i + 7, 8 * i, s) for i in range(4)]
+
+
+def add8(bs, off, k):
+    out = list(bs)
+    out[off] = out[off] + Extract(7, 0, k)
+    return out
+
+
+def add16(bs, off, k):
+    out = list(bs)
+    w = (ZeroExt(8, bs[off]) << 8) | ZeroExt(8, bs[off + 1])
+    w = Extract(15, 0, w + Extract(15, 0, k))
+    out[off] = Extract(15, 8, w)
+    out[off + 1] = Extract(7, 0, w)
+    return out
+
+
+def add32(bs, off, k):
+    out = list(bs)
+    w = (
+        (ZeroExt(24, bs[off]) << 24)
+        | (ZeroExt(24, bs[off + 1]) << 16)
+        | (ZeroExt(24, bs[off + 2]) << 8)
+        | ZeroExt(24, bs[off + 3])
+    )
+    w = w + k
+    out[off] = Extract(31, 24, w)
+    out[off + 1] = Extract(23, 16, w)
+    out[off + 2] = Extract(15, 8, w)
+    out[off + 3] = Extract(7, 0, w)
+    return out
+
+
+def apply_z3(bs, op, k):
+    kind, off = op
+    if kind == 8:
+        return add8(bs, off, k)
+    if kind == 16:
+        return add16(bs, off, k)
+    if kind == 32:
+        return add32(bs, off, k)
+    raise ValueError(op)
+
+
+def apply_concrete(bs, op, k):
+    bs = list(bs)
+    kind, off = op
+    if kind == 8:
+        bs[off] = (bs[off] + k) & 0xFF
+    elif kind == 16:
+        w = ((bs[off] << 8) | bs[off + 1])
+        w = (w + k) & 0xFFFF
+        bs[off] = (w >> 8) & 0xFF
+        bs[off + 1] = w & 0xFF
+    elif kind == 32:
+        w = (bs[off] << 24) | (bs[off + 1] << 16) | (bs[off + 2] << 8) | bs[off + 3]
+        w = (w + k) & 0xFFFFFFFF
+        bs[off] = (w >> 24) & 0xFF
+        bs[off + 1] = (w >> 16) & 0xFF
+        bs[off + 2] = (w >> 8) & 0xFF
+        bs[off + 3] = w & 0xFF
+    return bs
+
+
+def check_all(seq, ks):
+    for base in range(0, 1 << 32, 0x1000):
+        bs = bytes_from_word32((base + STDERR) & 0xFFFFFFFF)
+        want = bytes_from_word32((base + SYSTEM) & 0xFFFFFFFF)
+        for op, k in zip(seq, ks):
+            bs = apply_concrete(bs, op, k)
+        if bs != want:
+            return False
+    return True
+
+
+def solve_sequence(seq):
+    reps = [
+        0x00000000,
+        0x00008000,
+        0x00DFC000,
+        0x00E08000,
+        0xFFDFC000,
+        0xFFE08000,
+    ]
+    solver = Solver()
+    ks = []
+    for i, op in enumerate(seq):
+        width = {8: 8, 16: 16, 32: 32}[op[0]]
+        ks.append(BitVec(f"k{i}", width))
+    for base in reps:
+        bs = z3_input(base)
+        for op, k in zip(seq, ks):
+            if op[0] != k.size():
+                k = ZeroExt(op[0] - k.size(), k)
+            bs = apply_z3(bs, op, k)
+        want = z3_target(base)
+        for got, expected in zip(bs, want):
+            solver.add(got == expected)
+    if solver.check() != sat:
+        return None
+    model = solver.model()
+    vals = [model[k].as_long() for k in ks]
+    if check_all(seq, vals):
+        return vals
+    return None
+
+
+def main():
+    parser = argparse.ArgumentParser()
+    parser.add_argument("--max-extra", type=int, default=4)
+    parser.add_argument("--mode", choices=("all", "r32-first", "r32-last"), default="r32-first")
+    args = parser.parse_args()
+
+    ops = [(32, 0)] + [(16, i) for i in range(3)] + [(8, i) for i in range(4)]
+    correction_ops = [(16, i) for i in range(3)] + [(8, i) for i in range(4)]
+    for extra in range(0, args.max_extra + 1):
+        print(f"extra={extra}", flush=True)
+        if args.mode == "all":
+            sequences = product(ops, repeat=extra + 1)
+        elif args.mode == "r32-first":
+            sequences = (((32, 0), *tail) for tail in product(correction_ops, repeat=extra))
+        else:
+            sequences = ((*head, (32, 0)) for head in product(correction_ops, repeat=extra))
+        for seq in sequences:
+            result = solve_sequence(seq)
+            if result is not None:
+                print("FOUND", seq, [hex(x) for x in result])
+                return 0
+    print("no sequence found")
+    return 1
+
+
+if __name__ == "__main__":
+    raise SystemExit(main())