Descriptor checksum

1 files changed, 141 insertions, 3 deletions

diff --git a/src/script/descriptor.cpp b/src/script/descriptor.cpp
index 532a8028a2..43448d7222 100644
--- a/src/script/descriptor.cpp
+++ b/src/script/descriptor.cpp
@@ -21,6 +21,125 @@
 namespace {
 
 ////////////////////////////////////////////////////////////////////////////
+// Checksum                                                               //
+////////////////////////////////////////////////////////////////////////////
+
+// This section implements a checksum algorithm for descriptors with the
+// following properties:
+// * Mistakes in a descriptor string are measured in "symbol errors". The higher
+//   the number of symbol errors, the harder it is to detect:
+//   * An error substituting a character from 0123456789()[],'/*abcdefgh@:$%{} for
+//     another in that set always counts as 1 symbol error.
+//     * Note that hex encoded keys are covered by these characters. Xprvs and
+//       xpubs use other characters too, but already have their own checksum
+//       mechanism.
+//     * Function names like "multi()" use other characters, but mistakes in
+//       these would generally result in an unparseable descriptor.
+//   * A case error always counts as 1 symbol error.
+//   * Any other 1 character substitution error counts as 1 or 2 symbol errors.
+// * Any 1 symbol error is always detected.
+// * Any 2 or 3 symbol error in a descriptor of up to 49154 characters is always detected.
+// * Any 4 symbol error in a descriptor of up to 507 characters is always detected.
+// * Any 5 symbol error in a descriptor of up to 77 characters is always detected.
+// * Is optimized to minimize the chance a 5 symbol error in a descriptor up to 387 characters is undetected
+// * Random errors have a chance of 1 in 2**40 of being undetected.
+//
+// These properties are achieved by expanding every group of 3 (non checksum) characters into
+// 4 GF(32) symbols, over which a cyclic code is defined.
+
+/*
+ * Interprets c as 8 groups of 5 bits which are the coefficients of a degree 8 polynomial over GF(32),
+ * multiplies that polynomial by x, computes its remainder modulo a generator, and adds the constant term val.
+ *
+ * This generator is G(x) = x^8 + {30}x^7 + {23}x^6 + {15}x^5 + {14}x^4 + {10}x^3 + {6}x^2 + {12}x + {9}.
+ * It is chosen to define an cyclic error detecting code which is selected by:
+ * - Starting from all BCH codes over GF(32) of degree 8 and below, which by construction guarantee detecting
+ *   3 errors in windows up to 19000 symbols.
+ * - Taking all those generators, and for degree 7 ones, extend them to degree 8 by adding all degree-1 factors.
+ * - Selecting just the set of generators that guarantee detecting 4 errors in a window of length 512.
+ * - Selecting one of those with best worst-case behavior for 5 errors in windows of length up to 512.
+ *
+ * The generator and the constants to implement it can be verified using this Sage code:
+ *   B = GF(2) # Binary field
+ *   BP.<b> = B[] # Polynomials over the binary field
+ *   F_mod = b**5 + b**3 + 1
+ *   F.<f> = GF(32, modulus=F_mod, repr='int') # GF(32) definition
+ *   FP.<x> = F[] # Polynomials over GF(32)
+ *   E_mod = x**3 + x + F.fetch_int(8)
+ *   E.<e> = F.extension(E_mod) # Extension field definition
+ *   alpha = e**2743 # Choice of an element in extension field
+ *   for p in divisors(E.order() - 1): # Verify alpha has order 32767.
+ *       assert((alpha**p == 1) == (p % 32767 == 0))
+ *   G = lcm([(alpha**i).minpoly() for i in [1056,1057,1058]] + [x + 1])
+ *   print(G) # Print out the generator
+ *   for i in [1,2,4,8,16]: # Print out {1,2,4,8,16}*(G mod x^8), packed in hex integers.
+ *       v = 0
+ *       for coef in reversed((F.fetch_int(i)*(G % x**8)).coefficients(sparse=True)):
+ *           v = v*32 + coef.integer_representation()
+ *       print("0x%x" % v)
+ */
+uint64_t PolyMod(uint64_t c, int val)
+{
+    uint8_t c0 = c >> 35;
+    c = ((c & 0x7ffffffff) << 5) ^ val;
+    if (c0 & 1) c ^= 0xf5dee51989;
+    if (c0 & 2) c ^= 0xa9fdca3312;
+    if (c0 & 4) c ^= 0x1bab10e32d;
+    if (c0 & 8) c ^= 0x3706b1677a;
+    if (c0 & 16) c ^= 0x644d626ffd;
+    return c;
+}
+
+std::string DescriptorChecksum(const Span<const char>& span)
+{
+    /** A character set designed such that:
+     *  - The most common 'unprotected' descriptor characters (hex, keypaths) are in the first group of 32.
+     *  - Case errors cause an offset that's a multiple of 32.
+     *  - As many alphabetic characters are in the same group (while following the above restrictions).
+     *
+     * If p(x) gives the position of a character c in this character set, every group of 3 characters
+     * (a,b,c) is encoded as the 4 symbols (p(a) & 31, p(b) & 31, p(c) & 31, (p(a) / 32) + 3 * (p(b) / 32) + 9 * (p(c) / 32).
+     * This means that changes that only affect the lower 5 bits of the position, or only the higher 2 bits, will just
+     * affect a single symbol.
+     *
+     * As a result, within-group-of-32 errors count as 1 symbol, as do cross-group errors that don't affect
+     * the position within the groups.
+     */
+    static std::string INPUT_CHARSET =
+        "0123456789()[],'/*abcdefgh@:$%{}"
+        "IJKLMNOPQRSTUVWXYZ&+-.;<=>?!^_|~"
+        "ijklmnopqrstuvwxyzABCDEFGH`#\"\\ ";
+
+    /** The character set for the checksum itself (same as bech32). */
+    static std::string CHECKSUM_CHARSET = "qpzry9x8gf2tvdw0s3jn54khce6mua7l";
+
+    uint64_t c = 1;
+    int cls = 0;
+    int clscount = 0;
+    for (auto ch : span) {
+        auto pos = INPUT_CHARSET.find(ch);
+        if (pos == std::string::npos) return "";
+        c = PolyMod(c, pos & 31); // Emit a symbol for the position inside the group, for every character.
+        cls = cls * 3 + (pos >> 5); // Accumulate the group numbers
+        if (++clscount == 3) {
+            // Emit an extra symbol representing the group numbers, for every 3 characters.
+            c = PolyMod(c, cls);
+            cls = 0;
+            clscount = 0;
+        }
+    }
+    if (clscount > 0) c = PolyMod(c, cls);
+    for (int j = 0; j < 8; ++j) c = PolyMod(c, 0); // Shift further to determine the checksum.
+    c ^= 1; // Prevent appending zeroes from not affecting the checksum.
+
+    std::string ret(8, ' ');
+    for (int j = 0; j < 8; ++j) ret[j] = CHECKSUM_CHARSET[(c >> (5 * (7 - j))) & 31];
+    return ret;
+}
+
+std::string AddChecksum(const std::string& str) { return str + "#" + DescriptorChecksum(MakeSpan(str)); }
+
+////////////////////////////////////////////////////////////////////////////
 // Internal representation                                                //
 ////////////////////////////////////////////////////////////////////////////
 
@@ -273,10 +392,15 @@ public:
     {
         std::string ret;
         ToStringHelper(nullptr, ret, false);
-        return ret;
+        return AddChecksum(ret);
     }
 
-    bool ToPrivateString(const SigningProvider& arg, std::string& out) const override final { return ToStringHelper(&arg, out, true); }
+    bool ToPrivateString(const SigningProvider& arg, std::string& out) const override final
+    {
+        bool ret = ToStringHelper(&arg, out, true);
+        out = AddChecksum(out);
+        return ret;
+    }
 
     bool ExpandHelper(int pos, const SigningProvider& arg, Span<const unsigned char>* cache_read, std::vector<CScript>& output_scripts, FlatSigningProvider& out, std::vector<unsigned char>* cache_write) const
     {
@@ -751,11 +875,25 @@ std::unique_ptr<DescriptorImpl> InferScript(const CScript& script, ParseScriptCo
     return MakeUnique<RawDescriptor>(script);
 }
 
+
 } // namespace
 
-std::unique_ptr<Descriptor> Parse(const std::string& descriptor, FlatSigningProvider& out)
+std::unique_ptr<Descriptor> Parse(const std::string& descriptor, FlatSigningProvider& out, bool require_checksum)
 {
     Span<const char> sp(descriptor.data(), descriptor.size());
+
+    // Checksum checks
+    auto check_split = Split(sp, '#');
+    if (check_split.size() > 2) return nullptr; // Multiple '#' symbols
+    if (check_split.size() == 1 && require_checksum) return nullptr; // Missing checksum
+    if (check_split.size() == 2) {
+        if (check_split[1].size() != 8) return nullptr; // Unexpected length for checksum
+        auto checksum = DescriptorChecksum(check_split[0]);
+        if (checksum.empty()) return nullptr; // Invalid characters in payload
+        if (!std::equal(checksum.begin(), checksum.end(), check_split[1].begin())) return nullptr; // Checksum mismatch
+    }
+    sp = check_split[0];
+
     auto ret = ParseScript(sp, ParseScriptContext::TOP, out);
     if (sp.size() == 0 && ret) return std::unique_ptr<Descriptor>(std::move(ret));
     return nullptr;