[Kernel] Replace BCrypt RSA with portable bignum implementation

Removes the Windows-only BCrypt dependency from XeCryptBnQwNeRsaPubCrypt
and replaces it with a portable modular exponentiation implementation
using 64-bit arithmetic, enabling RSA signature verification on all
platforms. Adds Catch2 tests validating the implementation with a
2048-bit RSA key.
This commit is contained in:
Herman S.
2026-03-10 16:20:38 +09:00
parent b15cd5b164
commit 3585b6e592
5 changed files with 606 additions and 100 deletions

View File

@@ -15,10 +15,6 @@
#include "xenia/kernel/util/shim_utils.h"
#include "xenia/kernel/xboxkrnl/xboxkrnl_private.h"
#ifdef XE_PLATFORM_WIN32
#include "xenia/base/platform_win.h" // for bcrypt.h
#endif
#include "third_party/crypto/TinySHA1.hpp"
#include "third_party/crypto/des/des.cpp"
#include "third_party/crypto/des/des.h"
@@ -26,6 +22,7 @@
#include "third_party/crypto/des/descbc.h"
#include "third_party/crypto/sha256.cpp"
#include "third_party/crypto/sha256.h"
#include "xenia/kernel/xboxkrnl/xecrypt_rsa.h"
extern "C" {
#include "third_party/FFmpeg/libavutil/md5.h"
@@ -697,105 +694,17 @@ DECLARE_XBOXKRNL_EXPORT1(XeCryptBnQw_SwapDwQwLeBe, kNone, kImplemented);
dword_result_t XeCryptBnQwNeRsaPubCrypt_entry(pointer_t<uint64_t> qw_a,
pointer_t<uint64_t> qw_b,
pointer_t<XECRYPT_RSA> rsa) {
// 0 indicates failure (but not a BOOL return value)
#ifndef XE_PLATFORM_WIN32
XELOGE(
"XeCryptBnQwNeRsaPubCrypt called but no implementation available for "
"this platform!");
assert_always();
return 1;
#else
uint32_t modulus_size = rsa->size * 8;
uint32_t num_qwords = rsa->size;
uint32_t exponent = rsa->public_exponent;
const uint8_t* input_bytes = reinterpret_cast<const uint8_t*>(&qw_a[0]);
uint8_t* output_bytes = reinterpret_cast<uint8_t*>(&qw_b[0]);
const uint8_t* mod_bytes =
reinterpret_cast<const uint8_t*>(&rsa[1]); // modulus follows header
// Convert XECRYPT blob into BCrypt format
ULONG key_size = sizeof(BCRYPT_RSAKEY_BLOB) + sizeof(uint32_t) + modulus_size;
auto key_buf = std::make_unique<uint8_t[]>(key_size);
auto* key_header = reinterpret_cast<BCRYPT_RSAKEY_BLOB*>(key_buf.get());
key_header->Magic = BCRYPT_RSAPUBLIC_MAGIC;
key_header->BitLength = modulus_size * 8;
key_header->cbPublicExp = sizeof(uint32_t);
key_header->cbModulus = modulus_size;
key_header->cbPrime1 = key_header->cbPrime2 = 0;
// Copy in exponent/modulus, luckily these are BE inside BCrypt blob
uint32_t* key_exponent = reinterpret_cast<uint32_t*>(&key_header[1]);
*key_exponent = rsa->public_exponent.value;
// ...except modulus needs to be reversed in 64-bit chunks for BCrypt to make
// use of it properly for some reason
uint64_t* key_modulus = reinterpret_cast<uint64_t*>(&key_exponent[1]);
uint64_t* xecrypt_modulus = reinterpret_cast<uint64_t*>(&rsa[1]);
std::reverse_copy(xecrypt_modulus, xecrypt_modulus + rsa->size, key_modulus);
BCRYPT_ALG_HANDLE hAlgorithm = NULL;
NTSTATUS status = BCryptOpenAlgorithmProvider(
&hAlgorithm, BCRYPT_RSA_ALGORITHM, MS_PRIMITIVE_PROVIDER, 0);
if (!BCRYPT_SUCCESS(status)) {
XELOGE(
"XeCryptBnQwNeRsaPubCrypt: BCryptOpenAlgorithmProvider failed with "
"status {:#X}!",
status);
return 0;
}
BCRYPT_KEY_HANDLE hKey = NULL;
status = BCryptImportKeyPair(hAlgorithm, NULL, BCRYPT_RSAPUBLIC_BLOB, &hKey,
key_buf.get(), key_size, 0);
if (!BCRYPT_SUCCESS(status)) {
XELOGE(
"XeCryptBnQwNeRsaPubCrypt: BCryptImportKeyPair failed with status "
"{:#X}!",
status);
if (hAlgorithm) {
BCryptCloseAlgorithmProvider(hAlgorithm, 0);
}
return 0;
}
// Byteswap & reverse the input into output, as BCrypt wants MSB first
uint64_t* output = qw_b;
uint8_t* output_bytes = reinterpret_cast<uint8_t*>(output);
xe::copy_and_swap<uint64_t>(output, qw_a, rsa->size);
std::reverse(output_bytes, output_bytes + modulus_size);
// BCryptDecrypt only works with private keys, fortunately BCryptEncrypt
// performs the right actions needed for us to decrypt the input
ULONG result_size = 0;
status =
BCryptEncrypt(hKey, output_bytes, modulus_size, nullptr, nullptr, 0,
output_bytes, modulus_size, &result_size, BCRYPT_PAD_NONE);
assert(result_size == modulus_size);
if (!BCRYPT_SUCCESS(status)) {
XELOGE("XeCryptBnQwNeRsaPubCrypt: BCryptEncrypt failed with status {:#X}!",
status);
} else {
// Reverse data & byteswap again so data is as game expects
std::reverse(output_bytes, output_bytes + modulus_size);
xe::copy_and_swap(output, output, rsa->size);
}
if (hKey) {
BCryptDestroyKey(hKey);
}
if (hAlgorithm) {
BCryptCloseAlgorithmProvider(hAlgorithm, 0);
}
return BCRYPT_SUCCESS(status) ? 1 : 0;
#endif
return XeCryptBnQwNeRsaPubCrypt(input_bytes, output_bytes, mod_bytes,
num_qwords, exponent);
}
#ifdef XE_PLATFORM_WIN32
DECLARE_XBOXKRNL_EXPORT1(XeCryptBnQwNeRsaPubCrypt, kNone, kImplemented);
#else
DECLARE_XBOXKRNL_EXPORT1(XeCryptBnQwNeRsaPubCrypt, kNone, kStub);
#endif
dword_result_t XeCryptBnQwBeSigVerify_entry(pointer_t<XECRYPT_SIG> sig,
lpvoid_t hash, lpstring_t salt,

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@@ -0,0 +1,430 @@
#ifndef XECRYPT_RSA_H_
#define XECRYPT_RSA_H_
#include <algorithm>
#include <cstdint>
#include <cstring>
#include <vector>
namespace xecrypt {
namespace bignum {
// Portable 128-bit unsigned helpers using only 64-bit arithmetic
struct u128 {
uint64_t lo;
uint64_t hi;
};
static inline u128 u128_from(uint64_t v) { return {v, 0}; }
static inline u128 u128_add(u128 a, uint64_t b) {
u128 r;
r.lo = a.lo + b;
r.hi = a.hi + (r.lo < a.lo ? 1 : 0);
return r;
}
static inline u128 u128_sub(u128 a, uint64_t b) {
u128 r;
r.hi = a.hi - (a.lo < b ? 1 : 0);
r.lo = a.lo - b;
return r;
}
static inline u128 u128_shl(u128 v, int s) {
if (s == 0) return v;
if (s >= 64) return {0, v.lo << (s - 64)};
return {v.lo << s, (v.hi << s) | (v.lo >> (64 - s))};
}
static inline u128 u128_shr(u128 v, int s) {
if (s == 0) return v;
if (s >= 64) return {v.hi >> (s - 64), 0};
return {(v.lo >> s) | (v.hi << (64 - s)), v.hi >> s};
}
static inline u128 u128_or64(u128 a, uint64_t b) { return {a.lo | b, a.hi}; }
// Portable 64x64 -> 128 multiply
static inline u128 u128_mul64(uint64_t a, uint64_t b) {
uint64_t a_lo = a & 0xFFFFFFFF;
uint64_t a_hi = a >> 32;
uint64_t b_lo = b & 0xFFFFFFFF;
uint64_t b_hi = b >> 32;
uint64_t p0 = a_lo * b_lo;
uint64_t p1 = a_lo * b_hi;
uint64_t p2 = a_hi * b_lo;
uint64_t p3 = a_hi * b_hi;
uint64_t mid = p1 + (p0 >> 32);
uint64_t mid_carry = 0;
uint64_t mid2 = mid + p2;
if (mid < p1) mid_carry++;
if (mid2 < mid) mid_carry++;
u128 r;
r.lo = (mid2 << 32) | (p0 & 0xFFFFFFFF);
r.hi = p3 + (mid2 >> 32) + (mid_carry << 32);
return r;
}
// 128 / 64 -> quotient and remainder
static inline uint64_t u128_div64(u128 num, uint64_t den, uint64_t* rem) {
if (num.hi == 0) {
*rem = num.lo % den;
return num.lo / den;
}
uint64_t q = 0;
uint64_t r = 0;
for (int i = 127; i >= 0; i--) {
r = (r << 1);
if (i >= 64) {
r |= (num.hi >> (i - 64)) & 1;
} else {
r |= (num.lo >> i) & 1;
}
if (r >= den) {
r -= den;
if (i < 64) {
q |= (1ULL << i);
}
}
}
*rem = r;
return q;
}
// Count leading zeros - portable
static inline int clz64(uint64_t v) {
if (v == 0) return 64;
int n = 0;
if ((v & 0xFFFFFFFF00000000ULL) == 0) {
n += 32;
v <<= 32;
}
if ((v & 0xFFFF000000000000ULL) == 0) {
n += 16;
v <<= 16;
}
if ((v & 0xFF00000000000000ULL) == 0) {
n += 8;
v <<= 8;
}
if ((v & 0xF000000000000000ULL) == 0) {
n += 4;
v <<= 4;
}
if ((v & 0xC000000000000000ULL) == 0) {
n += 2;
v <<= 2;
}
if ((v & 0x8000000000000000ULL) == 0) {
n += 1;
}
return n;
}
static inline int clz32(uint32_t v) {
if (v == 0) return 32;
int n = 0;
if ((v & 0xFFFF0000U) == 0) {
n += 16;
v <<= 16;
}
if ((v & 0xFF000000U) == 0) {
n += 8;
v <<= 8;
}
if ((v & 0xF0000000U) == 0) {
n += 4;
v <<= 4;
}
if ((v & 0xC0000000U) == 0) {
n += 2;
v <<= 2;
}
if ((v & 0x80000000U) == 0) {
n += 1;
}
return n;
}
class BigNum {
public:
std::vector<uint64_t> limbs;
BigNum() = default;
void trim() {
while (limbs.size() > 1 && limbs.back() == 0) {
limbs.pop_back();
}
}
static BigNum from_bytes_be(const uint8_t* data, size_t len) {
BigNum r;
size_t n = (len + 7) / 8;
r.limbs.resize(n, 0);
for (size_t i = 0; i < len; i++) {
size_t byte_pos = len - 1 - i;
r.limbs[byte_pos / 8] |= static_cast<uint64_t>(data[i])
<< (8 * (byte_pos % 8));
}
r.trim();
return r;
}
void to_bytes_be(uint8_t* out, size_t len) const {
std::memset(out, 0, len);
for (size_t i = 0; i < len; i++) {
size_t byte_pos = len - 1 - i;
size_t li = byte_pos / 8;
if (li < limbs.size()) {
out[i] = static_cast<uint8_t>(limbs[li] >> (8 * (byte_pos % 8)));
}
}
}
static int compare(const BigNum& a, const BigNum& b) {
size_t an = a.limbs.size(), bn = b.limbs.size();
size_t n = std::max(an, bn);
for (size_t i = n; i > 0; i--) {
uint64_t al = (i - 1 < an) ? a.limbs[i - 1] : 0;
uint64_t bl = (i - 1 < bn) ? b.limbs[i - 1] : 0;
if (al < bl) return -1;
if (al > bl) return 1;
}
return 0;
}
static BigNum sub(const BigNum& a, const BigNum& b) {
BigNum r;
size_t n = a.limbs.size();
r.limbs.resize(n, 0);
uint64_t borrow = 0;
for (size_t i = 0; i < n; i++) {
uint64_t bl = (i < b.limbs.size()) ? b.limbs[i] : 0;
u128 diff = u128_sub(u128_sub(u128_from(a.limbs[i]), bl), borrow);
r.limbs[i] = diff.lo;
borrow = (diff.hi >> 63) ? 1 : 0;
}
r.trim();
return r;
}
static BigNum mul(const BigNum& a, const BigNum& b) {
size_t an = a.limbs.size(), bn = b.limbs.size();
BigNum r;
r.limbs.resize(an + bn, 0);
for (size_t i = 0; i < an; i++) {
uint64_t carry = 0;
for (size_t j = 0; j < bn; j++) {
u128 prod = u128_mul64(a.limbs[i], b.limbs[j]);
prod = u128_add(prod, r.limbs[i + j]);
prod = u128_add(prod, carry);
r.limbs[i + j] = prod.lo;
carry = prod.hi;
}
r.limbs[i + bn] += carry;
}
r.trim();
return r;
}
static BigNum mod(const BigNum& a, const BigNum& m) {
if (compare(a, m) < 0) return a;
size_t n = m.limbs.size();
size_t total = a.limbs.size();
if (n == 0 || (n == 1 && m.limbs[0] == 0)) {
return BigNum();
}
if (n == 1) {
uint64_t d = m.limbs[0];
uint64_t rem = 0;
for (size_t i = total; i > 0; i--) {
u128 cur = u128_or64(u128_shl(u128_from(rem), 64), a.limbs[i - 1]);
u128_div64(cur, d, &rem);
}
BigNum r;
r.limbs = {rem};
r.trim();
return r;
}
int shift = 0;
uint64_t top = m.limbs[n - 1];
if (top != 0) {
shift = clz64(top);
}
BigNum u, v;
u.limbs.resize(total + 1, 0);
if (shift > 0) {
uint64_t carry = 0;
for (size_t i = 0; i < total; i++) {
u128 val = u128_or64(u128_shl(u128_from(a.limbs[i]), shift), carry);
u.limbs[i] = val.lo;
carry = val.hi;
}
u.limbs[total] = carry;
} else {
for (size_t i = 0; i < total; i++) u.limbs[i] = a.limbs[i];
u.limbs[total] = 0;
}
v.limbs.resize(n, 0);
if (shift > 0) {
uint64_t carry = 0;
for (size_t i = 0; i < n; i++) {
u128 val = u128_or64(u128_shl(u128_from(m.limbs[i]), shift), carry);
v.limbs[i] = val.lo;
carry = val.hi;
}
} else {
v.limbs = m.limbs;
}
uint64_t vn_1 = v.limbs[n - 1];
uint64_t vn_2 = (n >= 2) ? v.limbs[n - 2] : 0;
for (size_t j = total; j >= n; j--) {
u128 num_top =
u128_or64(u128_shl(u128_from(u.limbs[j]), 64), u.limbs[j - 1]);
uint64_t rhat_val;
uint64_t qhat_val = u128_div64(num_top, vn_1, &rhat_val);
while (true) {
u128 qv2 = u128_mul64(qhat_val, vn_2);
u128 rhs = u128_or64(u128_shl(u128_from(rhat_val), 64), u.limbs[j - 2]);
bool gt = (qv2.hi > rhs.hi) || (qv2.hi == rhs.hi && qv2.lo > rhs.lo);
if (!gt) break;
qhat_val--;
uint64_t old_rhat = rhat_val;
rhat_val += vn_1;
if (rhat_val < old_rhat) break;
}
uint64_t carry = 0;
for (size_t i = 0; i < n; i++) {
u128 prod = u128_mul64(qhat_val, v.limbs[i]);
prod = u128_add(prod, carry);
uint64_t prod_lo = prod.lo;
carry = prod.hi;
uint64_t u_val = u.limbs[j - n + i];
u.limbs[j - n + i] = u_val - prod_lo;
if (u_val < prod_lo) carry++;
}
int64_t final_diff =
static_cast<int64_t>(u.limbs[j]) - static_cast<int64_t>(carry);
u.limbs[j] = static_cast<uint64_t>(final_diff);
if (final_diff < 0) {
uint64_t c = 0;
for (size_t i = 0; i < n; i++) {
u128 sum = u128_add(u128_from(u.limbs[j - n + i]), v.limbs[i]);
sum = u128_add(sum, c);
u.limbs[j - n + i] = sum.lo;
c = sum.hi;
}
u.limbs[j] += c;
}
}
BigNum r;
r.limbs.resize(n, 0);
if (shift > 0) {
uint64_t carry = 0;
for (size_t i = n; i > 0; i--) {
u128 val = u128_or64(u128_shl(u128_from(carry), 64), u.limbs[i - 1]);
r.limbs[i - 1] = u128_shr(val, shift).lo;
carry = u.limbs[i - 1] & ((1ULL << shift) - 1);
}
} else {
for (size_t i = 0; i < n; i++) r.limbs[i] = u.limbs[i];
}
r.trim();
return r;
}
static BigNum modexp(const BigNum& base, uint32_t exp,
const BigNum& mod_val) {
BigNum result;
result.limbs = {1};
if (exp == 0) {
return mod(result, mod_val);
}
int highest_bit = 31 - clz32(exp);
BigNum b = mod(base, mod_val);
for (int i = highest_bit; i >= 0; i--) {
result = mod(mul(result, result), mod_val);
if ((exp >> i) & 1) {
result = mod(mul(result, b), mod_val);
}
}
return result;
}
};
} // namespace bignum
} // namespace xecrypt
// Performs RSA public-key encryption/decryption matching
// XeCryptBnQwNeRsaPubCrypt. All buffers use the Xbox 360 layout: big-endian
// uint64 limbs in little-endian limb order.
//
// qw_a: input data (num_qwords * 8 bytes)
// qw_b: output buffer (num_qwords * 8 bytes)
// modulus: RSA modulus following the XECRYPT_RSA header (num_qwords * 8 bytes)
// num_qwords: number of 64-bit limbs
// exponent: public exponent
//
// Returns 1 on success, 0 on failure.
inline uint32_t XeCryptBnQwNeRsaPubCrypt(const uint8_t* qw_a, uint8_t* qw_b,
const uint8_t* modulus,
uint32_t num_qwords,
uint32_t exponent) {
// Reject keys below 512 bits (8 qwords) to match original BCrypt behavior.
if (num_qwords < 8) {
return 0;
}
uint32_t modulus_size = num_qwords * 8;
auto input_be = std::vector<uint8_t>(modulus_size);
auto mod_be = std::vector<uint8_t>(modulus_size);
// Reverse qword order to produce big-endian byte arrays
for (uint32_t i = 0; i < num_qwords; i++) {
std::memcpy(&input_be[i * 8], &qw_a[(num_qwords - 1 - i) * 8], 8);
std::memcpy(&mod_be[i * 8], &modulus[(num_qwords - 1 - i) * 8], 8);
}
auto base =
xecrypt::bignum::BigNum::from_bytes_be(input_be.data(), modulus_size);
auto mod =
xecrypt::bignum::BigNum::from_bytes_be(mod_be.data(), modulus_size);
auto result = xecrypt::bignum::BigNum::modexp(base, exponent, mod);
auto result_be = std::vector<uint8_t>(modulus_size);
result.to_bytes_be(result_be.data(), modulus_size);
// Convert back to Xbox format: reverse qword order
for (uint32_t i = 0; i < num_qwords; i++) {
std::memcpy(&qw_b[i * 8], &result_be[(num_qwords - 1 - i) * 8], 8);
}
return 1;
}
#endif // XECRYPT_RSA_H_