.github/workflows/build.yml

@@ -0,0 +1,221 @@
+name: Build All Platforms
+env:
+  FORCE_JAVASCRIPT_ACTIONS_TO_NODE24: true
+on:
+  workflow_dispatch:
+    inputs:
+      windows_x64:
+        description: 'Build Windows x64'
+        type: boolean
+        default: false
+      windows_x86:
+        description: 'Build Windows x86'
+        type: boolean
+        default: false
+      windows_arm64:
+        description: 'Build Windows ARM64'
+        type: boolean
+        default: false
+      linux_x64:
+        description: 'Build Linux x64'
+        type: boolean
+        default: true
+      linux_arm64:
+        description: 'Build Linux ARM64'
+        type: boolean
+        default: true
+      macos_arm64:
+        description: 'Build macOS ARM64'
+        type: boolean
+        default: true
+
+jobs:
+  # --- Windows x64 build (MSBuild + vcpkg) ---
+  windows-x64:
+    if: ${{ inputs.windows_x64 }}
+    name: Windows x64
+    runs-on: windows-latest
+    steps:
+      - uses: actions/checkout@v6.0.2
+
+      - name: Setup vcpkg
+        uses: lukka/run-vcpkg@v11
+        with:
+          vcpkgGitCommitId: 'c3867e714dd3a51c272826eea77267876517ed99'
+
+      - name: Integrate vcpkg
+        run: vcpkg integrate install
+
+      - name: Setup MSBuild
+        uses: microsoft/setup-msbuild@v2
+
+      - name: Build
+        run: |
+          msbuild winrar-keygen.vcxproj /p:Configuration=Release /p:Platform=x64 /p:VcpkgEnableManifest=true
+
+      - name: Prepare artifact
+        shell: pwsh
+        run: |
+          Copy-Item "bin/x64-Release/winrar-keygen.exe" "winrar-keygen-x64.exe"
+
+      - name: Upload artifact
+        uses: actions/upload-artifact@v6.0.0
+        with:
+          name: winrar-keygen-x64
+          path: winrar-keygen-x64.exe
+
+  # --- Windows x86 build (MSBuild + vcpkg) ---
+  windows-x86:
+    if: ${{ inputs.windows_x86 }}
+    name: Windows x86
+    runs-on: windows-latest
+    steps:
+      - uses: actions/checkout@v6.0.2
+
+      - name: Setup vcpkg
+        uses: lukka/run-vcpkg@v11
+        with:
+          vcpkgGitCommitId: 'c3867e714dd3a51c272826eea77267876517ed99'
+
+      - name: Integrate vcpkg
+        run: vcpkg integrate install
+
+      - name: Setup MSBuild
+        uses: microsoft/setup-msbuild@v2
+
+      - name: Build
+        run: |
+          msbuild winrar-keygen.vcxproj /p:Configuration=Release /p:Platform=Win32 /p:VcpkgEnableManifest=true
+
+      - name: Prepare artifact
+        shell: pwsh
+        run: |
+          Copy-Item "bin/Win32-Release/winrar-keygen.exe" "winrar-keygen-x86.exe"
+
+      - name: Upload artifact
+        uses: actions/upload-artifact@v6.0.0
+        with:
+          name: winrar-keygen-x86
+          path: winrar-keygen-x86.exe
+
+  # --- Windows ARM64 build (MSBuild + vcpkg) ---
+  windows-arm64:
+    if: ${{ inputs.windows_arm64 }}
+    name: Windows ARM64
+    runs-on: windows-latest
+    steps:
+      - uses: actions/checkout@v6.0.2
+
+      - name: Setup vcpkg
+        uses: lukka/run-vcpkg@v11
+        with:
+          vcpkgGitCommitId: 'c3867e714dd3a51c272826eea77267876517ed99'
+
+      - name: Integrate vcpkg
+        run: vcpkg integrate install
+
+      - name: Setup MSBuild
+        uses: microsoft/setup-msbuild@v2
+
+      - name: Build
+        run: |
+          msbuild winrar-keygen.vcxproj /p:Configuration=Release /p:Platform=ARM64 /p:VcpkgEnableManifest=true
+
+      - name: Prepare artifact
+        shell: pwsh
+        run: |
+          Copy-Item "bin/ARM64-Release/winrar-keygen.exe" "winrar-keygen-arm64.exe"
+
+      - name: Upload artifact
+        uses: actions/upload-artifact@v6.0.0
+        with:
+          name: winrar-keygen-arm64
+          path: winrar-keygen-arm64.exe
+
+  # --- Linux x64 build (CMake) ---
+  linux-x64:
+    if: ${{ inputs.linux_x64 }}
+    name: Linux x64
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v6.0.2
+
+      - name: Install dependencies
+        run: |
+          sudo apt-get update
+          sudo apt-get install -y libgmp-dev
+
+      - name: Build
+        run: |
+          mkdir build && cd build
+          cmake .. -DCMAKE_BUILD_TYPE=Release
+          cmake --build . --config Release
+
+      - name: Prepare artifact
+        run: |
+          cp build/winrar-keygen winrar-keygen-linux-x64
+          chmod +x winrar-keygen-linux-x64
+
+      - name: Upload artifact
+        uses: actions/upload-artifact@v6.0.0
+        with:
+          name: winrar-keygen-linux-x64
+          path: winrar-keygen-linux-x64
+
+  # --- Linux ARM64 build (native runner) ---
+  linux-arm64:
+    if: ${{ inputs.linux_arm64 }}
+    name: Linux ARM64
+    runs-on: ubuntu-24.04-arm
+    steps:
+      - uses: actions/checkout@v6.0.2
+
+      - name: Install dependencies
+        run: |
+          sudo apt-get update
+          sudo apt-get install -y libgmp-dev
+
+      - name: Build
+        run: |
+          mkdir build && cd build
+          cmake .. -DCMAKE_BUILD_TYPE=Release
+          cmake --build . --config Release
+
+      - name: Prepare artifact
+        run: |
+          cp build/winrar-keygen winrar-keygen-linux-arm64
+          chmod +x winrar-keygen-linux-arm64
+
+      - name: Upload artifact
+        uses: actions/upload-artifact@v6.0.0
+        with:
+          name: winrar-keygen-linux-arm64
+          path: winrar-keygen-linux-arm64
+
+  # --- macOS ARM64 build (CMake) ---
+  macos:
+    if: ${{ inputs.macos_arm64 }}
+    name: macOS ARM64
+    runs-on: macos-latest
+    steps:
+      - uses: actions/checkout@v6.0.2
+
+      - name: Install dependencies
+        run: brew list gmp &>/dev/null || brew install gmp
+
+      - name: Build
+        run: |
+          mkdir build && cd build
+          cmake .. -DCMAKE_BUILD_TYPE=Release
+          cmake --build . --config Release
+
+      - name: Prepare artifact
+        run: |
+          cp build/winrar-keygen winrar-keygen-macos-arm64
+          chmod +x winrar-keygen-macos-arm64
+
+      - name: Upload artifact
+        uses: actions/upload-artifact@v6.0.0
+        with:
+          name: winrar-keygen-macos-arm64
+          path: winrar-keygen-macos-arm64

.github/workflows/keygen.yml

@@ -0,0 +1,46 @@
+name: WinRAR Keygen
+on: 
+  workflow_dispatch:
+    inputs:
+      KEY_ENCODING:
+        type: string
+        description: License encoding ascii, ansi or utf8
+        default: 'utf8'
+        required: true
+
+      KEY_USERNAME:
+        type: string
+        description: Input your username
+        required: true
+        
+      KEY_LICENSE_NAME:
+        type: string
+        description: Input your license name
+        default: 'Single PC usage license'
+        required: true
+
+jobs:
+  keygen:
+    name: Generating License (${{ github.event.inputs.KEY_ENCODING }})
+    runs-on: windows-2022
+    env:
+      KEY_ENCODING: ${{ github.event.inputs.KEY_ENCODING }}
+      KEY_USERNAME: ${{ github.event.inputs.KEY_USERNAME }}
+      KEY_LICENSE_NAME: ${{ github.event.inputs.KEY_LICENSE_NAME }}
+
+    steps:
+    - uses: actions/checkout@v6.0.2
+    
+    - name: Generating License
+      shell: pwsh
+      run: |
+        bin/x64-Release/winrar-keygen.exe "${{ env.KEY_USERNAME }}" "${{ env.KEY_LICENSE_NAME }}" -e ${{ env.KEY_ENCODING }}
+        if ($LASTEXITCODE -ne 0) { exit $LASTEXITCODE }
+
+    - name: Uploading License
+      uses: actions/upload-artifact@v6.0.0
+      with:
+        name: rarreg_file_${{ env.KEY_ENCODING }}
+        path: rarreg.key
+        if-no-files-found: error
+        retention-days: 90

.github/workflows/keygen_secrets.yml

@@ -0,0 +1,37 @@
+name: WinRAR Keygen with secrets
+on: 
+  workflow_dispatch:
+    inputs:
+      KEY_ENCODING:
+        type: string
+        description: License encoding ascii, ansi or utf8
+        default: 'utf8'
+        required: true
+
+jobs:
+  keygen:
+    name: Generating License (${{ github.event.inputs.KEY_ENCODING }})
+    runs-on: windows-2022
+    env:
+      KEY_ENCODING: ${{ github.event.inputs.KEY_ENCODING }}
+      KEY_USERNAME: ${{ secrets.TEXT1 }}
+      KEY_LICENSE_NAME: ${{ secrets.TEXT2 }}
+      ZIP_PWD: ${{ secrets.PWD }}
+
+    steps:
+    - uses: actions/checkout@v6.0.2
+    
+    - name: Generating License
+      shell: pwsh
+      run: |
+        bin/x64-Release/winrar-keygen.exe "${{ env.KEY_USERNAME }}" "${{ env.KEY_LICENSE_NAME }}" -e ${{ env.KEY_ENCODING }}
+        if ($LASTEXITCODE -ne 0) { exit $LASTEXITCODE }
+        7z a rarreg.7z rarreg.key -p"${{ env.ZIP_PWD }}"
+
+    - name: Uploading License
+      uses: actions/upload-artifact@v6.0.0
+      with:
+        name: rarreg_file_${{ env.KEY_ENCODING }}
+        path: rarreg.7z
+        if-no-files-found: error
+        retention-days: 1

.gitignore

@@ -0,0 +1,49 @@
+# Development
+.vs/
+obj/
+bin/ARM64-Release/
+bin/Win32-Release/
+*.pdb
+
+# Windows image file caches
+Thumbs.db
+ehthumbs.db
+
+# Folder config file
+Desktop.ini
+
+# Recycle Bin used on file shares
+$RECYCLE.BIN/
+
+# Windows Installer files
+*.cab
+*.msi
+*.msm
+*.msp
+
+# Windows shortcuts
+*.lnk
+
+# macOS
+*/.DS_Store
+.DS_Store
+.LSOverride
+.AppleDouble
+
+# Thumbnails
+._*
+
+# Files that might appear in the root of a volume
+.DocumentRevisions-V100
+.fseventsd
+.Spotlight-V100
+.TemporaryItems
+.Trashes
+.VolumeIcon.icns
+
+# Directories potentially created on remote AFP share
+.AppleDB
+.AppleDesktop
+Network Trash Folder
+Temporary Items
+.apdisk

.vs/ProjectSettings.json

@@ -1,3 +0,0 @@
-{
-  "CurrentProjectSetting": "无配置"
-}

.vs/VSWorkspaceState.json

@@ -1,7 +0,0 @@
-{
-  "ExpandedNodes": [
-    ""
-  ],
-  "SelectedNode": "\\winrar-keygen.sln",
-  "PreviewInSolutionExplorer": false
-}

BigInteger.hpp

@@ -1,7 +1,24 @@
 #pragma once
 #include <stddef.h>
 #include <stdint.h>
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable: 4146 4244 4267)
+#endif
 #include <gmp.h>
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+// MPIR (used by vcpkg x86/x64) provides mpz_*_sx/mpz_*_ux for intmax_t.
+// Standard GMP (used by ARM64 and Linux/macOS) does not; fall back to long variants.
+#ifndef __MPIR_VERSION
+#define mpz_init_set_sx(z, v) mpz_init_set_si((z), static_cast<long>(v))
+#define mpz_init_set_ux(z, v) mpz_init_set_ui((z), static_cast<unsigned long>(v))
+#define mpz_set_sx(z, v)      mpz_set_si((z), static_cast<long>(v))
+#define mpz_set_ux(z, v)      mpz_set_ui((z), static_cast<unsigned long>(v))
+#endif
+
 #include <vector>
 #include <string>
 #include <type_traits>
@@ -60,6 +77,10 @@ public:
         mpz_swap(_Value, Other._Value);
     }
 
+    ~BigInteger() noexcept {
+        mpz_clear(_Value);
+    }
+
     BigInteger& operator=(const BigInteger& Other) noexcept {
         if (this != &Other) {
             mpz_set(_Value, Other._Value);
@@ -70,7 +91,6 @@ public:
     BigInteger& operator=(BigInteger&& Other) noexcept {
         if (this != &Other) {
             mpz_swap(_Value, Other._Value);
-            mpz_clear(Other._Value);
         }
         return *this;
     }
@@ -90,7 +110,7 @@ public:
     }
 
     BigInteger& operator=(const char* lpszValue) noexcept {
-        mpz_init_set_str(_Value, lpszValue, 0);
+        mpz_set_str(_Value, lpszValue, 0);
         return *this;
     }
 
@@ -265,7 +285,7 @@ public:
         return *this;
     }
 
-    BigInteger& Load(bool IsNegative, const std::vector<uint8_t> Buffer, bool UseLittleEndian) noexcept {
+    BigInteger& Load(bool IsNegative, const std::vector<uint8_t>& Buffer, bool UseLittleEndian) noexcept {
         mpz_import(_Value, Buffer.size(), UseLittleEndian ? -1 : 1, sizeof(uint8_t), 0, 0, Buffer.data());
         if (IsNegative)
             mpz_neg(_Value, _Value);
@@ -297,11 +317,11 @@ public:
     }
 
     bool TestBit(size_t i) const noexcept {
-        return mpz_tstbit(_Value, i) != 0;
+        return mpz_tstbit(_Value, static_cast<mp_bitcnt_t>(i)) != 0;
     }
 
     void SetBit(size_t i) noexcept {
-        mpz_setbit(_Value, i);
+        mpz_setbit(_Value, static_cast<mp_bitcnt_t>(i));
     }
 
     std::string ToString(size_t Base, bool LowerCase) const {

CMakeLists.txt

@@ -0,0 +1,50 @@
+cmake_minimum_required(VERSION 3.16)
+project(winrar-keygen LANGUAGES CXX)
+
+set(CMAKE_CXX_STANDARD 17)
+set(CMAKE_CXX_STANDARD_REQUIRED ON)
+
+# Version
+set(APP_VERSION "4.1.0.0")
+
+add_executable(winrar-keygen
+    _tmain.cpp
+    BigInteger.hpp
+    EllipticCurveGF2m.hpp
+    GaloisField.hpp
+    Hasher.hpp
+    HasherCrc32Traits.hpp
+    HasherSha1Traits.hpp
+    WinRarConfig.hpp
+    WinRarKeygen.hpp
+)
+
+target_compile_definitions(winrar-keygen PRIVATE
+    APP_VERSION="${APP_VERSION}"
+)
+
+# Find GMP
+find_path(GMP_INCLUDE_DIR gmp.h REQUIRED)
+target_include_directories(winrar-keygen PRIVATE ${GMP_INCLUDE_DIR})
+
+# macOS Universal Binary support
+if(APPLE AND CMAKE_OSX_ARCHITECTURES)
+    message(STATUS "Building macOS Universal Binary: ${CMAKE_OSX_ARCHITECTURES}")
+endif()
+
+# Static linking on Linux for portable binaries
+if(CMAKE_SYSTEM_NAME STREQUAL "Linux")
+    find_library(GMP_STATIC_LIBRARY libgmp.a)
+    if(GMP_STATIC_LIBRARY)
+        target_link_libraries(winrar-keygen PRIVATE ${GMP_STATIC_LIBRARY})
+        target_link_options(winrar-keygen PRIVATE -static-libgcc -static-libstdc++)
+        message(STATUS "Using static GMP: ${GMP_STATIC_LIBRARY}")
+    else()
+        find_library(GMP_LIBRARY gmp REQUIRED)
+        target_link_libraries(winrar-keygen PRIVATE ${GMP_LIBRARY})
+        message(STATUS "Using dynamic GMP: ${GMP_LIBRARY}")
+    endif()
+else()
+    find_library(GMP_LIBRARY gmp REQUIRED)
+    target_link_libraries(winrar-keygen PRIVATE ${GMP_LIBRARY})
+endif()

EllipticCurveGF2m.hpp

@@ -54,7 +54,10 @@ public:
         }
 
         Point operator-() const noexcept {
-            return Point(_X, _X + _Y);
+            Point Result(_Curve);
+            Result._X = _X;
+            Result._Y = _X + _Y;
+            return Result;
         }
 
         Point& operator=(const Point& Other) {
@@ -139,30 +142,34 @@ public:
             if (&_Curve == &Other._Curve || _Curve == Other._Curve) {
                 if (IsAtInfinity()) {
                     return Other;
-                } else {
+                } else if (Other.IsAtInfinity()) {
-                    if (this == &Other || _X == Other._X) {
+                    return *this;
+                } else if (_X == Other._X) {
+                    if (this == &Other || _Y == Other._Y) {
                         return ValueOfDouble();
                     } else {
-                        Point Result(_Curve);
+                        return Point(_Curve);
-
-                        // m = (Y0 + Y1) / (X0 + X1)
-                        auto m = (_Y + Other._Y) / (_X + Other._X);
-
-                        // NewX = m ^ 2 + m + X0 + X1 + a
-                        Result._X = m.SquareValue();
-                        Result._X += m;
-                        Result._X += _X;
-                        Result._X += Other._X;
-                        Result._X += _Curve._A;
-
-                        // NewY = m * (X0 + NewX) + NewX + Y0
-                        Result._Y = _X + Result._X;
-                        Result._Y *= m;
-                        Result._Y += Result._X;
-                        Result._Y += _Y;
-
-                        return Result;
                     }
+                } else {
+                    Point Result(_Curve);
+
+                    // m = (Y0 + Y1) / (X0 + X1)
+                    auto m = (_Y + Other._Y) / (_X + Other._X);
+
+                    // NewX = m ^ 2 + m + X0 + X1 + a
+                    Result._X = m.SquareValue();
+                    Result._X += m;
+                    Result._X += _X;
+                    Result._X += Other._X;
+                    Result._X += _Curve._A;
+
+                    // NewY = m * (X0 + NewX) + NewX + Y0
+                    Result._Y = _X + Result._X;
+                    Result._Y *= m;
+                    Result._Y += Result._X;
+                    Result._Y += _Y;
+
+                    return Result;
                 }
             } else {
                 throw std::invalid_argument("Not on the same curve.");
@@ -174,30 +181,33 @@ public:
                 if (IsAtInfinity()) {
                     _X = Other._X;
                     _Y = Other._Y;
-                } else {
+                } else if (Other.IsAtInfinity()) {
-                    if (this == &Other || _X == Other._X) {
+                    // *this unchanged
+                } else if (_X == Other._X) {
+                    if (this == &Other || _Y == Other._Y) {
                         Double();
                     } else {
-                        Point Result(_Curve);
+                        _X = __FieldType();
-
+                        _Y = __FieldType();
-                        // m = (Y0 + Y1) / (X0 + X1)
-                        auto m = (_Y + Other._Y) / (_X + Other._X);
-
-                        // NewX = m ^ 2 + m + X0 + X1 + a
-                        __FieldType NewX = m.SquareValue();
-                        NewX += m;
-                        NewX += _X;
-                        NewX += Other._X;
-                        NewX += _Curve._A;
-
-                        // NewY = m * (X0 + NewX) + NewX + Y0
-                        _X += NewX;
-                        _X *= m;
-                        _X += NewX;
-                        _Y += _X;
-
-                        _X = NewX;
                     }
+                } else {
+                    // m = (Y0 + Y1) / (X0 + X1)
+                    auto m = (_Y + Other._Y) / (_X + Other._X);
+
+                    // NewX = m ^ 2 + m + X0 + X1 + a
+                    __FieldType NewX = m.SquareValue();
+                    NewX += m;
+                    NewX += _X;
+                    NewX += Other._X;
+                    NewX += _Curve._A;
+
+                    // NewY = m * (X0 + NewX) + NewX + Y0
+                    _X += NewX;
+                    _X *= m;
+                    _X += NewX;
+                    _Y += _X;
+
+                    _X = NewX;
                 }
                 return *this;
             } else {
@@ -229,7 +239,7 @@ public:
             return Result;
         }
 
-        Point operator*=(const BigInteger N) noexcept {
+        Point& operator*=(const BigInteger N) noexcept {
             Point Result(_Curve);
             size_t bit_length = N.BitLength();
 
@@ -240,6 +250,7 @@ public:
             }
 
             *this = Result;
+            return *this;
         }
 
         // SEC 1: Elliptic Curve Cryptography

GaloisField.hpp

@@ -51,7 +51,7 @@ public:
         __FieldTraits::Load(_Val, pbBuffer, cbBuffer);
     }
 
-    template<typename __Dummy = std::enable_if<BitSizeValue <= sizeof(uintptr_t) * 8>::type>
+    template<bool _Cond = (BitSizeValue <= sizeof(uintptr_t) * 8), std::enable_if_t<_Cond, int> = 0>
     GaloisField(GaloisFieldInitByDump, uintptr_t SerializedValue) {
         __FieldTraits::Load(_Val, SerializedValue);
     }
@@ -62,7 +62,7 @@ public:
         return *this;
     }
 
-    template<typename __Dummy = std::enable_if<BitSizeValue <= sizeof(uintptr_t) * 8>::type>
+    template<bool _Cond = (BitSizeValue <= sizeof(uintptr_t) * 8), std::enable_if_t<_Cond, int> = 0>
     GaloisField<__FieldTraits>& operator=(uintptr_t SerializedValue) {
         __FieldTraits::Load(_Val, SerializedValue);
         return *this;
@@ -194,7 +194,7 @@ public:
         return Result;
     }
 
-    template<typename __Dummy = std::enable_if<BitSizeValue <= sizeof(uintptr_t) * 8>::type>
+    template<bool _Cond = (BitSizeValue <= sizeof(uintptr_t) * 8), std::enable_if_t<_Cond, int> = 0>
     uintptr_t Dump() const noexcept {
         return __FieldTraits::Dump(_Val);
     }
@@ -207,7 +207,7 @@ public:
         return __FieldTraits::Dump(_Val);
     }
 
-    template<typename __Dummy = std::enable_if<BitSizeValue <= sizeof(uintptr_t) * 8>::type>
+    template<bool _Cond = (BitSizeValue <= sizeof(uintptr_t) * 8), std::enable_if_t<_Cond, int> = 0>
     GaloisField<__FieldTraits>& Load(uintptr_t SerializedValue) {
         __FieldTraits::Load(_Val, SerializedValue);
         return *this;

HasherSha1Traits.hpp

@@ -149,5 +149,139 @@ public:
         }
     }
 };
-#endif
+#else
 
+#include <cstring>
+#include <stdexcept>
+
+struct HasherSha1Traits {
+public:
+    static constexpr size_t BlockSize = 512 / 8;
+    static constexpr size_t DigestSize = 160 / 8;
+
+    struct DigestType {
+        uint8_t Bytes[DigestSize];
+    };
+
+    struct ContextType {
+        uint32_t State[5];
+        uint64_t Count;
+        uint8_t Buffer[64];
+
+        ContextType() noexcept : State{}, Count(0), Buffer{} {}
+        ContextType(const ContextType&) noexcept = default;
+        ContextType& operator=(const ContextType&) noexcept = default;
+        ContextType(ContextType&& Other) noexcept = default;
+        ContextType& operator=(ContextType&& Other) noexcept = default;
+    };
+
+private:
+    static inline uint32_t RotateLeft(uint32_t x, int n) noexcept {
+        return (x << n) | (x >> (32 - n));
+    }
+
+    static void ProcessBlock(uint32_t state[5], const uint8_t block[64]) noexcept {
+        uint32_t w[80];
+        for (int i = 0; i < 16; ++i) {
+            w[i] = (static_cast<uint32_t>(block[i * 4]) << 24) |
+                   (static_cast<uint32_t>(block[i * 4 + 1]) << 16) |
+                   (static_cast<uint32_t>(block[i * 4 + 2]) << 8) |
+                   (static_cast<uint32_t>(block[i * 4 + 3]));
+        }
+        for (int i = 16; i < 80; ++i) {
+            w[i] = RotateLeft(w[i - 3] ^ w[i - 8] ^ w[i - 14] ^ w[i - 16], 1);
+        }
+
+        uint32_t a = state[0], b = state[1], c = state[2], d = state[3], e = state[4];
+        for (int i = 0; i < 80; ++i) {
+            uint32_t f, k;
+            if (i < 20) { f = (b & c) | (~b & d); k = 0x5A827999; }
+            else if (i < 40) { f = b ^ c ^ d; k = 0x6ED9EBA1; }
+            else if (i < 60) { f = (b & c) | (b & d) | (c & d); k = 0x8F1BBCDC; }
+            else { f = b ^ c ^ d; k = 0xCA62C1D6; }
+            uint32_t temp = RotateLeft(a, 5) + f + e + k + w[i];
+            e = d; d = c; c = RotateLeft(b, 30); b = a; a = temp;
+        }
+        state[0] += a; state[1] += b; state[2] += c; state[3] += d; state[4] += e;
+    }
+
+public:
+    static inline ContextType ContextCreate() {
+        ContextType Ctx;
+        Ctx.State[0] = 0x67452301;
+        Ctx.State[1] = 0xEFCDAB89;
+        Ctx.State[2] = 0x98BADCFE;
+        Ctx.State[3] = 0x10325476;
+        Ctx.State[4] = 0xC3D2E1F0;
+        Ctx.Count = 0;
+        return Ctx;
+    }
+
+    static inline ContextType ContextCreate(const void* lpBuffer, size_t cbBuffer) {
+        ContextType Ctx = ContextCreate();
+        ContextUpdate(Ctx, lpBuffer, cbBuffer);
+        return Ctx;
+    }
+
+    static inline ContextType ContextCopy(const ContextType& Ctx) {
+        return Ctx;
+    }
+
+    static inline void ContextUpdate(ContextType& Ctx, const void* lpBuffer, size_t cbBuffer) {
+        auto data = reinterpret_cast<const uint8_t*>(lpBuffer);
+        size_t bufferOffset = static_cast<size_t>(Ctx.Count % 64);
+        Ctx.Count += cbBuffer;
+
+        if (bufferOffset > 0) {
+            size_t toCopy = 64 - bufferOffset;
+            if (toCopy > cbBuffer) toCopy = cbBuffer;
+            std::memcpy(Ctx.Buffer + bufferOffset, data, toCopy);
+            data += toCopy;
+            cbBuffer -= toCopy;
+            bufferOffset += toCopy;
+            if (bufferOffset == 64) {
+                ProcessBlock(Ctx.State, Ctx.Buffer);
+                bufferOffset = 0;
+            }
+        }
+
+        while (cbBuffer >= 64) {
+            ProcessBlock(Ctx.State, data);
+            data += 64;
+            cbBuffer -= 64;
+        }
+
+        if (cbBuffer > 0) {
+            std::memcpy(Ctx.Buffer, data, cbBuffer);
+        }
+    }
+
+    static inline void ContextEvaluate(const ContextType& Ctx, DigestType& Digest) {
+        ContextType tmp = Ctx;
+        uint64_t totalBits = tmp.Count * 8;
+        uint8_t pad = 0x80;
+        ContextUpdate(tmp, &pad, 1);
+        uint8_t zero = 0;
+        while (tmp.Count % 64 != 56) {
+            ContextUpdate(tmp, &zero, 1);
+        }
+        uint8_t lenBytes[8];
+        for (int i = 7; i >= 0; --i) {
+            lenBytes[i] = static_cast<uint8_t>(totalBits);
+            totalBits >>= 8;
+        }
+        ContextUpdate(tmp, lenBytes, 8);
+        for (int i = 0; i < 5; ++i) {
+            Digest.Bytes[i * 4] = static_cast<uint8_t>(tmp.State[i] >> 24);
+            Digest.Bytes[i * 4 + 1] = static_cast<uint8_t>(tmp.State[i] >> 16);
+            Digest.Bytes[i * 4 + 2] = static_cast<uint8_t>(tmp.State[i] >> 8);
+            Digest.Bytes[i * 4 + 3] = static_cast<uint8_t>(tmp.State[i]);
+        }
+    }
+
+    static inline void ContextDestroy(ContextType& Ctx) noexcept {
+        std::memset(&Ctx, 0, sizeof(Ctx));
+    }
+};
+
+#endif

LICENSE

@@ -0,0 +1,21 @@
+MIT License
+
+Copyright (c) 2021 Bitcookies
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.

README.HOW_DOES_IT_WORK.md

@@ -1,100 +1,85 @@
-[GF2-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20%5Ctextrm%7BGF%7D%282%29
-[GF2p15-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20%5Ctextrm%7BGF%7D%282%5E%7B15%7D%29
-[GF2p15p17-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29
-[A-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20A
-[B-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20B
-[D-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20D
-[G-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20G
-[M-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20M
-[P-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20P
-[h-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20h
-[k-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20k
-[l-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20l
-[n-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20n
-[r-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20r
-[s-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20s
-[T-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20T
-[UU-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20U
-[LL-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20L
-[Rnd-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Rnd
-[Temp-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Temp
-[UID-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20UID
-[Data-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data
-[Data0-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E0
-[Data1-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E1
-[Data2-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E2
-[Data3-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E3
-
 # How is "rarreg.key" generated?
 
-WinRAR uses an ECC-based signature algorithm to generate `rarreg.key`. The algorithm it used is a varient of Chinese SM2 digital signature algorithm. Different to many standard ECDSAs, the curve that WinRAR selected is a curve over composite field ![GF2p15p17-inlined].
+WinRAR uses an ECC-based signature algorithm to generate `rarreg.key`. The algorithm it used is a variant of Chinese SM2 digital signature algorithm. Different to many standard ECDSAs, the curve that WinRAR selected is a curve over composite field ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only).
 
-## 1. Composite field ![GF2p15p17-inlined]
+## 1. Composite field ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only)
 
-Elements in ground field ![GF2p15-inlined] are represented with standard basis, i.e. polynomial basis. The irreducible polynomial is
+Elements in ground field ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only) are represented with standard basis, i.e. polynomial basis. The irreducible polynomial is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?P%28%5Calpha%29%3D%5Calpha%5E%7B15%7D&plus;%5Calpha&plus;1")
+    <img src="assets/formula/1-light.svg#gh-light-mode-only">
+    <img src="assets/formula/1-dark.svg#gh-dark-mode-only">
 </p>
 
-where each coefficients is in ![GF2-inlined]. If we use 
+where each coefficients is in ![GF2-inlined](assets/formula/GF2-inlined-light.svg#gh-light-mode-only)![GF2-inlined](assets/formula/GF2-inlined-dark.svg#gh-dark-mode-only). If we use 
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B_1%3D%5C%7B1%2C%5Calpha%2C%5Calpha%5E2%2C%5Cldots%2C%5Calpha%5E%7B14%7D%5C%7D")
+    <img src="assets/formula/2-light.svg#gh-light-mode-only">
+    <img src="assets/formula/2-dark.svg#gh-dark-mode-only">
 </p>
 
-as the standard basis of the ground field, an element ![A-inlined] in ![GF2p15-inlined] can be denoted as
+as the standard basis of the ground field, an element ![A](assets/formula/AA-inlined-light.svg#gh-light-mode-only)![A](assets/formula/AA-inlined-dark.svg#gh-dark-mode-only) in ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only) can be denoted as
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?A%3D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_i%5Calpha%5Ei%20%5Cquad%20%5Cquad%20%5Cquad%20a_i%5Cin%5Ctextrm%7BGF%7D%282%29")
+    <img src="assets/formula/3-light.svg#gh-light-mode-only">
+    <img src="assets/formula/3-dark.svg#gh-dark-mode-only">
 </p>
 
 ---
 
-The irreducible polynomial of composite field ![GF2p15p17-inlined] is
+The irreducible polynomial of composite field ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?Q%28%5Cbeta%29%3D%5Cbeta%5E%7B17%7D&plus;%5Cbeta%5E3&plus;1")
+    <img src="assets/formula/4-light.svg#gh-light-mode-only">
+    <img src="assets/formula/4-dark.svg#gh-dark-mode-only">
 </p>
 
-where each coefficients is in ![GF2p15-inlined]. If we use 
+where each coefficients is in ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only). If we use 
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B_2%3D%5C%7B1%2C%5Cbeta%2C%5Cbeta%5E2%2C%5Cldots%2C%5Cbeta%5E%7B16%7D%5C%7D")
+    <img src="assets/formula/5-light.svg#gh-light-mode-only">
+    <img src="assets/formula/5-dark.svg#gh-dark-mode-only">
 </p>
 
-as the standard basis of the composite field, an element ![B-inlined] in ![GF2p15p17-inlined] can be denoted as
+as the standard basis of the composite field, an element ![B](assets/formula/BB-inlined-light.svg#gh-light-mode-only)![B](assets/formula/BB-inlined-dark.svg#gh-dark-mode-only) in ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) can be denoted as
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%28%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Calpha%5Ei%29%5Cbeta%5Ej%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Calpha%5Ei%5Cbeta%5Ej%20%5Cquad%20%5Cquad%20%5Cquad%20a_%7Bj%2Ci%7D%5Cin%5Ctextrm%7BGF%7D%282%29")
+    <img src="assets/formula/6-light.svg#gh-light-mode-only">
+    <img src="assets/formula/6-dark.svg#gh-dark-mode-only">
 </p>
 
 ---
 
-For clarity, we use ![D-inlined], which is a 255-bits-long integer to denote an element ![B-inlined] in ![GF2p15p17-inlined]. The map between them is
+For clarity, we use ![D](assets/formula/DD-inlined-light.svg#gh-light-mode-only)![D](assets/formula/DD-inlined-dark.svg#gh-dark-mode-only) , which is a 255-bits-long integer to denote an element ![B](assets/formula/BB-inlined-light.svg#gh-light-mode-only)![B](assets/formula/BB-inlined-dark.svg#gh-dark-mode-only) in ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only). The map between them is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Calpha%5Ei%5Cbeta%5Ej%20%5Cleftrightarrow%20D%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Ccdot%202%5E%7B15j&plus;i%7D")
+    <img src="assets/formula/7-light.svg#gh-light-mode-only">
+    <img src="assets/formula/7-dark.svg#gh-dark-mode-only">
 </p>
 
-## 2. Elliptic curve over ![GF2p15p17-inlined]
+## 2. Elliptic curve over ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only)
 
 The equation of the elliptic curve that WinRAR uses is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?y%5E2&plus;xy%3Dx%5E3&plus;161%20%5Cquad%20%5Cquad%20%5Cquad%20161%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29")
+    <img src="assets/formula/8-light.svg#gh-light-mode-only">
+    <img src="assets/formula/8-dark.svg#gh-dark-mode-only">
 </p>
 
-The base point ![G-inlined] is
+The base point ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20G%26%3D%28G_x%2CG_y%29%20%5C%5C%20G_x%26%3D%5Ctextrm%7B0x56fdcbc6a27acee0cc2996e0096ae74feb1acf220a2341b898b549440297b8cc%7D%20%5Cquad%20G_x%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%5C%5C%20G_y%26%3D%5Ctextrm%7B0x20da32e8afc90b7cf0e76bde44496b4d0794054e6ea60f388682463132f931a7%7D%20%5Cquad%20G_y%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%20%5Cend%7Baligned%7D")
+    <img src="assets/formula/9-light.svg#gh-light-mode-only">
+    <img src="assets/formula/9-dark.svg#gh-dark-mode-only">
 </p>
 
-whose order ![n-inlined] is
+A [verification example](README.VERIFY_Point_G.md) of the base point ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) on the curve.
+
+whose order ![n](assets/formula/n-inlined-light.svg#gh-light-mode-only)![n](assets/formula/n-inlined-dark.svg#gh-dark-mode-only)  is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?n%3D%5Ctextrm%7B0x1026dd85081b82314691ced9bbec30547840e4bf72d8b5e0d258442bbcd31%7D%20%5Cquad%20n%5Cin%5Cnolinebreak%5Cmathbb%7BZ%7D")
+    <img src="assets/formula/10-light.svg#gh-light-mode-only">
+    <img src="assets/formula/10-dark.svg#gh-dark-mode-only">
 </p>
 
 ## 3. Message hash algorithm
@@ -102,119 +87,136 @@ whose order ![n-inlined] is
 We use 
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?M%3Dm_0m_1%20%5Cldots%20m_%7Bl-1%7D%20%5Cquad%20%5Cquad%20m_i%5Cin%5B0%2C%20256%29")
+    <img src="assets/formula/11-light.svg#gh-light-mode-only">
+    <img src="assets/formula/11-dark.svg#gh-dark-mode-only">
 </p>
 
-to denote a message whose length is ![l-inlined]. So the SHA1 value of ![M-inlined] should be 
+to denote a message whose length is ![l](assets/formula/l-inlined-light.svg#gh-light-mode-only)![l](assets/formula/l-inlined-dark.svg#gh-dark-mode-only). So the SHA1 value of ![M](assets/formula/MM-inlined-light.svg#gh-light-mode-only)![M](assets/formula/MM-inlined-dark.svg#gh-dark-mode-only) should be 
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?%5Ctextrm%7BSHA%7D_1%28M%29%3DS_0%7C%7CS_1%7C%7CS_2%7C%7CS_3%7C%7CS_4%20%5Cquad%20%5Cquad%20S_i%5Cin%5B0%2C%202%5E%7B32%7D%29")
+    <img src="assets/formula/12-light.svg#gh-light-mode-only">
+    <img src="assets/formula/12-dark.svg#gh-dark-mode-only">
 </p>
 
-where ![](http://latex.codecogs.com/svg.latex?%5Cinline%20S_0%2CS_1%2CS_2%2CS_3%2CS_4) are 5 state values when SHA1 outputs. Generally speaking, the final SHA1 value should be the join of these 5 state values while each of state values is serialized in big-endian.
+where ![s0,4](assets/formula/13-light.svg#gh-light-mode-only)![s0,4](assets/formula/13-dark.svg#gh-dark-mode-only) are 5 state values when SHA1 outputs. Generally speaking, the final SHA1 value should be the join of these 5 state values while each of state values is serialized in big-endian.
 
-However, WinRAR doesn't serialize the 5 state values. Instead, it use a big integer ![h-inlined] as the hash of the input message.
+However, WinRAR doesn't serialize the 5 state values. Instead, it use a big integer ![h](assets/formula/h-inlined-light.svg#gh-light-mode-only)![h](assets/formula/h-inlined-dark.svg#gh-dark-mode-only) as the hash of the input message.
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?h%3D%28%5Csum_%7Bi%3D0%7D%5E%7B4%7DS_i%20%5Ccdot%202%5E%7B32i%7D%29&plus;%5Ctextrm%7B0x1bd10xb4e33c7c0ffd8d43%7D%20%5Ccdot%202%5E%7B32*5%7D")
+    <img src="assets/formula/15-light.svg#gh-light-mode-only">
+    <img src="assets/formula/15-dark.svg#gh-dark-mode-only">
 </p>
 
 ## 4. ECC digital signature algorithm
 
-We use ![k-inlined] to denote private key, ![P-inlined] to denote public key. So there must be
+We use ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only) to denote private key, ![P](assets/formula/PP-inlined-light.svg#gh-light-mode-only)![P](assets/formula/PP-inlined-dark.svg#gh-dark-mode-only) to denote public key. So there must be
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?P%3Dk%20%5Ccdot%20G")
+    <img src="assets/formula/16-light.svg#gh-light-mode-only">
+    <img src="assets/formula/16-dark.svg#gh-dark-mode-only">
 </p>
 
-If we use ![h-inlined] to denote the hash of input data, WinRAR use the following algorithm to perform signing:
+If we use ![h](assets/formula/h-inlined-light.svg#gh-light-mode-only)![h](assets/formula/h-inlined-dark.svg#gh-dark-mode-only) to denote the hash of input data, WinRAR use the following algorithm to perform signing:
 
-1. Generate a random big integer ![Rnd-inlined] which satisfies ![](http://latex.codecogs.com/svg.latex?%5Cinline%200%3CRnd%3Cn).
+1. Generate a random big integer ![Rnd](assets/formula/Rnd-inlined-light.svg#gh-light-mode-only)![Rnd](assets/formula/Rnd-inlined-dark.svg#gh-dark-mode-only) which satisfies ![RND](assets/formula/18-light.svg#gh-light-mode-only)![RND](assets/formula/18-dark.svg#gh-dark-mode-only).
 
-2. Calculate ![r-inlined]
+2. Calculate ![r](assets/formula/r-inlined-light.svg#gh-light-mode-only)![r](assets/formula/r-inlined-dark.svg#gh-dark-mode-only)
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?r%3D%28%28Rnd%20%5Ccdot%20G%29_x&plus;h%29%5C%20%5C%20Mod%5C%20%5C%20n">
+       <img src="assets/formula/19-light.svg#gh-light-mode-only">
+       <img src="assets/formula/19-dark.svg#gh-dark-mode-only">
    </p>
 
-   where ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28Rnd%20%5Ccdot%20G%29_x) means we take X coordinate of ![](http://latex.codecogs.com/svg.latex?%5Cinline%20Rnd%20%5Ccdot%20G) and convert it from ![GF2p15p17-inlined] to a big integer.
 
-   If ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r%3D0) or ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r&plus;Rnd%3Dn), go back to step 1.
+   where ![RNDGx](assets/formula/20-light.svg#gh-light-mode-only)![RNDGx](assets/formula/20-dark.svg#gh-dark-mode-only)  means we take X coordinate of ![RNDG](assets/formula/21-light.svg#gh-light-mode-only)![RNDG](assets/formula/21-dark.svg#gh-dark-mode-only) and convert it from ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) to a big integer.
 
-3. Calculate ![s-inlined]
+   If ![r=0](assets/formula/22-light.svg#gh-light-mode-only)![r=0](assets/formula/22-dark.svg#gh-dark-mode-only)  or ![rRnd](assets/formula/23-light.svg#gh-light-mode-only)![rRnd](assets/formula/23-dark.svg#gh-dark-mode-only), go back to step 1.
+
+3. Calculate ![s](assets/formula/s-inlined-light.svg#gh-light-mode-only)![s](assets/formula/s-inlined-dark.svg#gh-dark-mode-only)
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?s%3D%28Rnd-kr%29%5C%20%5C%20Mod%5C%20%5C%20n">
+       <img src="assets/formula/24-light.svg#gh-light-mode-only">
+       <img src="assets/formula/24-dark.svg#gh-dark-mode-only">
    </p>
 
-   If ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s%3D0), go back to step 1.
 
-4. Output ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28r%2Cs%29).
+   If ![s=0](assets/formula/25-light.svg#gh-light-mode-only)![s=0](assets/formula/25-dark.svg#gh-dark-mode-only), go back to step 1.
+
+4. Output ![(r,s)](assets/formula/17-light.svg#gh-light-mode-only)![(r,s)](assets/formula/17-dark.svg#gh-dark-mode-only).
 
 ## 5. WinRAR private key generation algorithm
 
 We use 
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?T%3Dt_0t_1%20%5Cldots%20t_%7Bl-1%7D%20%5Cquad%20%5Cquad%20t_i%5Cin%5B0%2C256%29">
+    <img src="assets/formula/26-light.svg#gh-light-mode-only">
+    <img src="assets/formula/26-dark.svg#gh-dark-mode-only">
 </p>
 
-to denote input data whose length is ![l-inlined]. WinRAR use it to generate private key ![k-inlined].
+to denote input data whose length is ![l](assets/formula/l-inlined-light.svg#gh-light-mode-only)![l](assets/formula/l-inlined-dark.svg#gh-dark-mode-only). WinRAR use it to generate private key ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only).
 
-1. We use ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_0%2Cg_1%2Cg_2%2Cg_3%2Cg_4%2Cg_5) to denote 6 32-bits-long integer. So there is
+1. We use ![g0-5](assets/formula/27-light.svg#gh-light-mode-only)![g0-5](assets/formula/27-dark.svg#gh-dark-mode-only) to denote 6 32-bits-long integer. So there is
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?g_j%3D%5Csum_%7Bi%3D0%7D%5E%7B3%7Dg_%7Bj%2Ci%7D%20%5Ccdot%202%5E%7B8i%7D%20%5Cquad%20%5Cquad%20g_%7Bj%2Ci%7D%5Cin%5B0%2C256%29">
+       <img src="assets/formula/28-light.svg#gh-light-mode-only">
+       <img src="assets/formula/28-dark.svg#gh-dark-mode-only">
    </p>
 
-2. Let ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_0%3D0).
+2. Let ![g0=0](assets/formula/29-light.svg#gh-light-mode-only)![g0=0](assets/formula/29-dark.svg#gh-dark-mode-only).
 
-3. If ![](http://latex.codecogs.com/svg.latex?%5Cinline%20l%5Cneq%200), we calculate SHA1 value of ![T-inlined]. Then assign SHA1 state value ![](http://latex.codecogs.com/svg.latex?%5Cinline%20S_i) to ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_%7Bi&plus;1%7D):
+3. If ![l!=0](assets/formula/30-light.svg#gh-light-mode-only)![l!=0](assets/formula/30-dark.svg#gh-dark-mode-only), we calculate SHA1 value of ![T](assets/formula/TT-inlined-light.svg#gh-light-mode-only)![T](assets/formula/TT-inlined-dark.svg#gh-dark-mode-only). Then assign SHA1 state value ![Si](assets/formula/31-light.svg#gh-light-mode-only)![Si](assets/formula/31-dark.svg#gh-dark-mode-only) to ![gi+1](assets/formula/32-light.svg#gh-light-mode-only)![gi+1](assets/formula/32-dark.svg#gh-dark-mode-only):
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20%5Ctextrm%7BSHA%7D_1%28T%29%26%3DS_0%7C%7CS_1%7C%7CS_2%7C%7CS_3%7C%7CS_4%20%5C%5C%20g_1%26%3DS_0%20%5C%5C%20g_2%26%3DS_1%20%5C%5C%20g_3%26%3DS_2%20%5C%5C%20g_4%26%3DS_3%20%5C%5C%20g_5%26%3DS_4%20%5C%5C%20%5Cend%7Baligned%7D">
+       <img src="assets/formula/33-light.svg#gh-light-mode-only">
+       <img src="assets/formula/33-dark.svg#gh-dark-mode-only">
    </p>
 
-   Otherwise, when ![](http://latex.codecogs.com/svg.latex?%5Cinline%20l%3D0), we let 
+   Otherwise, when ![l=0](assets/formula/34-light.svg#gh-light-mode-only)![l=0](assets/formula/34-dark.svg#gh-dark-mode-only), we let 
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20g_1%26%3D%5Ctextrm%7B0xeb3eb781%7D%20%5C%5C%20g_2%26%3D%5Ctextrm%7B0x50265329%7D%20%5C%5C%20g_3%26%3D%5Ctextrm%7B0xdc5ef4a3%7D%20%5C%5C%20g_4%26%3D%5Ctextrm%7B0x6847b9d5%7D%20%5C%5C%20g_5%26%3D%5Ctextrm%7B0xcde43b4c%7D%20%5C%5C%20%5Cend%7Baligned%7D">
+       <img src="assets/formula/35-light.svg#gh-light-mode-only">
+          <img src="assets/formula/35-dark.svg#gh-dark-mode-only">
    </p>
 
-4. Regard ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_0) as counter, add itself by 1.
+4. Regard ![g0](assets/formula/36-light.svg#gh-light-mode-only)![g0](assets/formula/36-dark.svg#gh-dark-mode-only)  as counter, add itself by 1.
 
    Calculate SHA1:
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?%5Ctextrm%7BSHA%7D_1%28g_%7B0%2C0%7D%7C%7Cg_%7B0%2C1%7D%7C%7Cg_%7B0%2C2%7D%7C%7Cg_%7B0%2C3%7D%7C%7Cg_%7B1%2C0%7D%7C%7Cg_%7B1%2C1%7D%7C%7C%5Cldots%7C%7Cg_%7B5%2C0%7D%7C%7Cg_%7B5%2C1%7D%7C%7Cg_%7B5%2C2%7D%7C%7Cg_%7B5%2C3%7D%29%3DS_0%7C%7CS_1%7C%7CS_2%7C%7CS_3%7C%7CS_4">
+       <img src="assets/formula/37-light.svg#gh-light-mode-only">
+       <img src="assets/formula/37-dark.svg#gh-dark-mode-only">
    </p>
 
-   We takes the lowest 16 bits of ![](http://latex.codecogs.com/svg.latex?%5Cinline%20S_0) and donote it as ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_%7Bg_0%7D).
+   We takes the lowest 16 bits of ![S0](assets/formula/38-light.svg#gh-light-mode-only)![S0](assets/formula/38-dark.svg#gh-dark-mode-only) and donote it as ![Kg0](assets/formula/39-light.svg#gh-light-mode-only)![Kg0](assets/formula/39-dark.svg#gh-dark-mode-only).
 
 5. Repeat step 4 again with 14 times.
 
-6. After that, we will get ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_1%2Ck_2%2Ck_3%2C%5Cldots%2Ck_%7B15%7D). Then output private key
+6. After that, we will get ![k1-15](assets/formula/40-light.svg#gh-light-mode-only)![k1-15](assets/formula/40-dark.svg#gh-dark-mode-only). Then output private key
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?k%3D%5Csum_%7Bi%3D1%7D%5E%7B15%7Dk_i%20%5Ccdot%202%5E%7B16i%7D">
+       <img src="assets/formula/41-light.svg#gh-light-mode-only">
+       <img src="assets/formula/41-dark.svg#gh-dark-mode-only">
    </p>
 
 ## 6. The private key and public key of WinRAR
 
-Private key ![k-inlined] is
+Private key ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only) is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?k%3D%5Ctextrm%7B0x59fe6abcca90bdb95f0105271fa85fb9f11f467450c1ae9044b7fd61d65e%7D%20%5Cquad%20%5Cquad%20k%5Cin%5Cnolinebreak%5Cmathbb%7BZ%7D">
+    <img src="assets/formula/42-light.svg#gh-light-mode-only">
+    <img src="assets/formula/42-dark.svg#gh-dark-mode-only">
 </p>
 
-This private key is generated by the algorithm describled in section 5 where the length of data ![T-inlined] is zero.
+This private key is generated by the algorithm describled in section 5 where the length of data ![T](assets/formula/TT-inlined-light.svg#gh-light-mode-only)![T](assets/formula/TT-inlined-dark.svg#gh-dark-mode-only) is zero.
 
-Public key ![P-inlined] is
+Public key ![P](assets/formula/PP-inlined-light.svg#gh-light-mode-only)![P](assets/formula/PP-inlined-dark.svg#gh-dark-mode-only) is
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20P%26%3D%28P_x%2CP_y%29%20%5C%5C%20P_x%26%3D%5Ctextrm%7B0x3861220ed9b36c9753df09a159dfb148135d495db3af8373425ee9a28884ba1a%7D%20%5Cquad%20P_x%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%20%5C%5C%20P_y%26%3D%5Ctextrm%7B0x12b64e62db43a56114554b0cbd573379338cea9124c8443c4f50e6c8b013ec20%7D%20%5Cquad%20P_y%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%20%5Cend%7Baligned%7D">
+    <img src="assets/formula/43-light.svg#gh-light-mode-only">
+    <img src="assets/formula/43-dark.svg#gh-dark-mode-only">
 </p>
 
+
 ## 7. Generation of "rarreg.key"
 
 The generation of license file `rarreg.key` requires 2 arguments:
@@ -222,85 +224,94 @@ The generation of license file `rarreg.key` requires 2 arguments:
 1. Username, an ANSI-encoded string, without null-terminator. Denoted as
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?U%3Du_0u_1%20%5Cldots%20u_%7Bl-1%7D">
+       <img src="assets/formula/44-light.svg#gh-light-mode-only">
+       <img src="assets/formula/44-dark.svg#gh-dark-mode-only">
    </p>
 
 2. License type, an ANSI-encoded string, without null-terminator. Denoted as 
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?L%3Dl_0l_1%20%5Cldots%20l_%7Bl-1%7D">
+       <img src="assets/formula/45-light.svg#gh-light-mode-only">
+       <img src="assets/formula/45-dark.svg#gh-dark-mode-only">
    </p>
 
 The following is the algorithm to generate `rarreg.key`.
 
-1. Use the algorithm describled in section 5, with argument ![UU-inlined], to generate private key ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_U) and public key ![](http://latex.codecogs.com/svg.latex?%5Cinline%20P_U). Then output hexlified public key string with SM2 compressed public key format. The hexlified public key is denoted as ![Temp-inlined].
+1. Use the algorithm describled in section 5, with argument ![U](assets/formula/UU-inlined-light.svg#gh-light-mode-only)![U](assets/formula/UU-inlined-dark.svg#gh-dark-mode-only), to generate private key ![ku](assets/formula/46-light.svg#gh-light-mode-only)![ku](assets/formula/46-dark.svg#gh-dark-mode-only)  and public key ![pu](assets/formula/47-light.svg#gh-light-mode-only)![pu](assets/formula/47-dark.svg#gh-dark-mode-only). Then output hexlified public key string with SM2 compressed public key format. The hexlified public key is denoted as ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only).
 
-   The length of ![Temp-inlined] should be 64. If less, pad with `'0'` until the length is 64.
+   The length of ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only) should be 64. If less, pad with `'0'` until the length is 64.
 
-2. Let ![Data3-inlined] be 
+2. Let ![Data3](assets/formula/Data3-inlined-light.svg#gh-light-mode-only)![Data3](assets/formula/Data3-inlined-dark.svg#gh-dark-mode-only) be 
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?Data%5E3%3D%5Ctexttt%7B%2260%22%7D%7C%7CTemp_0%7C%7CTemp_1%7C%7C%5Cldots%7C%7CTemp_%7B47%7D">
+       <img src="assets/formula/48-light.svg#gh-light-mode-only">
+       <img src="assets/formula/48-dark.svg#gh-dark-mode-only">
    </p>
 
-3. Use the algorithm describled in section 5, with argument ![Data3-inlined], to generate private key ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_%7BData%5E3%7D) and public key ![](http://latex.codecogs.com/svg.latex?%5Cinline%20P_%7BData%5E3%7D). Then output hexlified public key string with SM2 compressed public key format. The hexlified public key is denoted as ![Data0-inlined].
+3. Use the algorithm describled in section 5, with argument ![Data3](assets/formula/Data3-inlined-light.svg#gh-light-mode-only)![Data3](assets/formula/Data3-inlined-dark.svg#gh-dark-mode-only), to generate private key ![kdata3](assets/formula/49-light.svg#gh-light-mode-only)![kdata3](assets/formula/49-dark.svg#gh-dark-mode-only) and public key ![pdata3](assets/formula/50-light.svg#gh-light-mode-only)![pdata3](assets/formula/50-dark.svg#gh-dark-mode-only). Then output hexlified public key string with SM2 compressed public key format. The hexlified public key is denoted as ![Data0](assets/formula/Data0-inlined-light.svg#gh-light-mode-only)![Data0](assets/formula/Data0-inlined-dark.svg#gh-dark-mode-only).
 
-   The length of ![Data0-inlined] should be 64. If less, pad with `'0'` until the length is 64.
+   The length of ![Data0](assets/formula/Data0-inlined-light.svg#gh-light-mode-only)![Data0](assets/formula/Data0-inlined-dark.svg#gh-dark-mode-only) should be 64. If less, pad with `'0'` until the length is 64.
 
-4. Let ![UID-inlined] be
+4. Let ![UID](assets/formula/UID-inlined-light.svg#gh-light-mode-only)![UID](assets/formula/UID-inlined-dark.svg#gh-dark-mode-only) be
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?UID%3DTemp_%7B48%7D%7C%7CTemp_%7B49%7D%7C%7C%5Cldots%7C%7CTemp_%7B63%7D%7C%7CData%5E0_0%7C%7CData%5E0_1%7C%7CData%5E0_2%7C%7CData%5E0_3">
+       <img src="assets/formula/51-light.svg#gh-light-mode-only">
+       <img src="assets/formula/51-dark.svg#gh-dark-mode-only">
    </p>
 
-5. Use the algorithm describled in section 4, with argument ![LL-inlined] and private key ![k-inlined] describled section 6, to get signature ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28r_L%2Cs_L%29).
+5. Use the algorithm describled in section 4, with argument ![L](assets/formula/LL-inlined-light.svg#gh-light-mode-only)![L](assets/formula/LL-inlined-dark.svg#gh-dark-mode-only)  and private key ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only)  describled section 6, to get signature ![(rl,sl)](assets/formula/52-light.svg#gh-light-mode-only)![(rl,sl)](assets/formula/52-dark.svg#gh-dark-mode-only).
 
-   The bit length of ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_L) and ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_L) shall not be more than 240. Otherwise, repeat this step.
+   The bit length of ![rl](assets/formula/53-light.svg#gh-light-mode-only)![rl](assets/formula/53-dark.svg#gh-dark-mode-only) and ![sl](assets/formula/54-light.svg#gh-light-mode-only)![sl](assets/formula/54-dark.svg#gh-dark-mode-only) shall not be more than 240. Otherwise, repeat this step.
 
-6. Convert ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_L) and ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_L) to hex-integer string ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Br_L%7D) and ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bs_L%7D), without `"0x"` prefix. 
+6. Convert ![rl](assets/formula/53-light.svg#gh-light-mode-only)![rl](assets/formula/53-dark.svg#gh-dark-mode-only) and ![sl](assets/formula/54-light.svg#gh-light-mode-only)![sl](assets/formula/54-dark.svg#gh-dark-mode-only) to hex-integer string ![SZrl](assets/formula/55-light.svg#gh-light-mode-only)![SZrl](assets/formula/55-dark.svg#gh-dark-mode-only) and ![SZsl](assets/formula/56-light.svg#gh-light-mode-only)![SZsl](assets/formula/56-dark.svg#gh-dark-mode-only), without `"0x"` prefix. 
 
-   If the length of ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Br_L%7D) or ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bs_L%7D) is less than 60, pad character `'0'` until the length is 60.
+   If the length of ![SZrl](assets/formula/55-light.svg#gh-light-mode-only)![SZrl](assets/formula/55-dark.svg#gh-dark-mode-only) or ![SZsl](assets/formula/56-light.svg#gh-light-mode-only)![SZsl](assets/formula/56-dark.svg#gh-dark-mode-only) is less than 60, pad character `'0'` until the length is 60.
 
-7. Let ![Data1-inlined] be
+7. Let ![Data1](assets/formula/Data1-inlined-light.svg#gh-light-mode-only)![Data1](assets/formula/Data1-inlined-dark.svg#gh-dark-mode-only) be
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?Data%5E1%3D%5Ctexttt%7B%2260%22%7D%7C%7CSZ%5E%7Bs_L%7D%7C%7CSZ%5E%7Br_L%7D">
+       <img src="assets/formula/57-light.svg#gh-light-mode-only">
+       <img src="assets/formula/57-dark.svg#gh-dark-mode-only">
    </p>
 
-8. Let ![Temp-inlined] be 
+8. Let ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only) be 
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?Temp%3DU%7C%7CData%5E0">
+       <img src="assets/formula/58-light.svg#gh-light-mode-only">
+       <img src="assets/formula/58-dark.svg#gh-dark-mode-only">
    </p>
 
-   Use the algorithm describled in section 4, with argument ![Temp-inlined] and private key ![k-inlined] describled section 6, to get signature ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28r_%7BTemp%7D%2Cs_%7BTemp%7D%29).
+   Use the algorithm describled in section 4, with argument ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only) and private key ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only) describled section 6, to get signature ![(rTemp,sTemp)](assets/formula/59-light.svg#gh-light-mode-only)![(rTemp,sTemp)](assets/formula/59-dark.svg#gh-dark-mode-only).
 
-   The bit length of ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_%7BTemp%7D) and ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_%7BTemp%7D) shall not be more than 240. Otherwise, repeat this step.
+   The bit length of ![rTemp](assets/formula/60-light.svg#gh-light-mode-only)![rTemp](assets/formula/60-dark.svg#gh-dark-mode-only) and ![sTemp](assets/formula/61-light.svg#gh-light-mode-only)![sTemp](assets/formula/61-dark.svg#gh-dark-mode-only) shall not be more than 240. Otherwise, repeat this step.
 
-9. Convert ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_%7BTemp%7D) and ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_%7BTemp%7D) to hex-integer string ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Br_%7BTemp%7D%7D) and ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bs_%7BTemp%7D%7D), without `"0x"` prefix. 
+9. Convert ![rTemp](assets/formula/60-light.svg#gh-light-mode-only)![rTemp](assets/formula/60-dark.svg#gh-dark-mode-only) and ![sTemp](assets/formula/61-light.svg#gh-light-mode-only)![sTemp](assets/formula/61-dark.svg#gh-dark-mode-only) to hex-integer string ![SZrTemp](assets/formula/62-light.svg#gh-light-mode-only)![SZrTemp](assets/formula/62-dark.svg#gh-dark-mode-only)  and ![SZsTemp](assets/formula/63-light.svg#gh-light-mode-only)![SZsTemp](assets/formula/63-dark.svg#gh-dark-mode-only), without `"0x"` prefix. 
 
-   If the length of ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Br_%7BTemp%7D%7D) or ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bs_%7BTemp%7D%7D) is less than 60, pad character `'0'` until the length is 60.
+   If the length of ![SZrTemp](assets/formula/62-light.svg#gh-light-mode-only)![SZrTemp](assets/formula/62-dark.svg#gh-dark-mode-only)  or ![SZsTemp](assets/formula/63-light.svg#gh-light-mode-only)![SZsTemp](assets/formula/63-dark.svg#gh-dark-mode-only) is less than 60, pad character `'0'` until the length is 60.
 
-10. Let ![Data2-inlined] be
+10. Let ![Data2](assets/formula/Data2-inlined-light.svg#gh-light-mode-only)![Data2](assets/formula/Data2-inlined-dark.svg#gh-dark-mode-only) be
 
     <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?Data%5E2%3D%5Ctexttt%7B%2260%22%7D%7C%7CSZ%5E%7Bs_%7BTemp%7D%7D%7C%7CSZ%5E%7Br_%7BTemp%7D%7D">
+        <img src="assets/formula/64-light.svg#gh-light-mode-only">
+        <img src="assets/formula/64-dark.svg#gh-dark-mode-only">
     </p>
 
 11. Calculate CRC32 value of 
 
     <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?L%7C%7CU%7C%7CData%5E0%7C%7CData%5E1%7C%7CData%5E2%7C%7CData%5E3">
+        <img src="assets/formula/65-light.svg#gh-light-mode-only">
+        <img src="assets/formula/65-dark.svg#gh-dark-mode-only">
     </p>
 
     The final checksum the complement of CRC32 value. 
+    
+    Then convert the checksum to decimal string ![SZchecksum](assets/formula/66-light.svg#gh-light-mode-only)![SZchecksum](assets/formula/66-dark.svg#gh-dark-mode-only). If the length is less than 10, pad character `'0'` until the length is 10.
 
-    Then convert the checksum to decimal string ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bchecksum%7D). If the length is less than 10, pad character `'0'` until the length is 10.
+12. Let ![Data](assets/formula/Data-inlined-light.svg#gh-light-mode-only)![Data](assets/formula/Data-inlined-dark.svg#gh-dark-mode-only) be 
-
-12. Let ![Data-inlined] be 
 
     <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?%5Cinline%20Data%3DData%5E0%7C%7CData%5E1%7C%7CData%5E2%7C%7CData%5E3%7C%7CSZ%5E%7Bchecksum%7D">
+        <img src="assets/formula/67-light.svg#gh-light-mode-only">
+        <img src="assets/formula/67-dark.svg#gh-dark-mode-only">
     </p>
 
 13. Output with format
@@ -314,8 +325,8 @@ The following is the algorithm to generate `rarreg.key`.
     * UID, taking one line, with format:
 
       <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?%5Ctexttt%7B%22UID%3D%22%7D%7C%7CUID">
+        <img src="assets/formula/68-light.svg#gh-light-mode-only">
+          <img src="assets/formula/68-dark.svg#gh-dark-mode-only">
       </p>
-
+    
-    * Output ![Data-inlined], with 54 characters a line.
+    * Output ![Data](assets/formula/Data-inlined-light.svg#gh-light-mode-only)![Data](assets/formula/Data-inlined-dark.svg#gh-dark-mode-only), with 54 characters a line.
-

README.HOW_DOES_IT_WORK.zh-CN.md

@@ -1,310 +1,322 @@
-[GF2-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20%5Ctextrm%7BGF%7D%282%29
-[GF2p15-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20%5Ctextrm%7BGF%7D%282%5E%7B15%7D%29
-[GF2p15p17-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29
-[A-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20A
-[B-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20B
-[D-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20D
-[G-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20G
-[M-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20M
-[P-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20P
-[h-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20h
-[k-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20k
-[l-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20l
-[n-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20n
-[r-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20r
-[s-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20s
-[T-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20T
-[UU-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20U
-[LL-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20L
-[Rnd-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Rnd
-[Temp-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Temp
-[UID-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20UID
-[Data-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data
-[Data0-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E0
-[Data1-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E1
-[Data2-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E2
-[Data3-inlined]: http://latex.codecogs.com/svg.latex?%5Cinline%20Data%5E3
-
 # "rarreg.key"是如何生成的？
 
-WinRAR使用了基于ECC的签名算法来生成 `rarreg.key` 文件，其使用的签名算法是中国SM2数字签名算法的变体。与各种标准ECDSA不同的是，WinRAR使用的椭圆曲线是一个基于复合域 ![GF2p15p17-inlined] 上的曲线。
+WinRAR 使用了基于 ECC 的签名算法来生成 `rarreg.key` 文件，其使用的签名算法是中国 SM2 数字签名算法的变体。与各种标准 ECDSA 不同的是，WinRAR 使用的椭圆曲线是一个基于复合域 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) 上的曲线。
 
-## 1. 复合域 ![GF2p15p17-inlined]
+## 1. 复合域 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only)
 
-基域 ![GF2p15-inlined] 采用标准基（多项式基）来表达，采用的不可约多项式为：
+基域 ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only) 采用标准基（多项式基）来表达，采用的不可约多项式为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?P%28%5Calpha%29%3D%5Calpha%5E%7B15%7D&plus;%5Calpha&plus;1")
+    <img src="assets/formula/1-light.svg#gh-light-mode-only">
+    <img src="assets/formula/1-dark.svg#gh-dark-mode-only">
 </p>
 
-各项系数全部位于 ![GF2-inlined]。设基域的标准基为：
+各项系数全部位于 ![GF2-inlined](assets/formula/GF2-inlined-light.svg#gh-light-mode-only)![GF2-inlined](assets/formula/GF2-inlined-dark.svg#gh-dark-mode-only)。设基域的标准基为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B_1%3D%5C%7B1%2C%5Calpha%2C%5Calpha%5E2%2C%5Cldots%2C%5Calpha%5E%7B14%7D%5C%7D")
+    <img src="assets/formula/2-light.svg#gh-light-mode-only">
+    <img src="assets/formula/2-dark.svg#gh-dark-mode-only">
 </p>
 
-则位于基域 ![GF2p15-inlined] 上的元素 ![A-inlined] 可以用如下方式表达：
+则位于基域 ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only) 上的元素 ![A](assets/formula/AA-inlined-light.svg#gh-light-mode-only)![A](assets/formula/AA-inlined-dark.svg#gh-dark-mode-only) 可以用如下方式表达：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?A%3D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_i%5Calpha%5Ei%20%5Cquad%20%5Cquad%20%5Cquad%20a_i%5Cin%5Ctextrm%7BGF%7D%282%29")
+    <img src="assets/formula/3-light.svg#gh-light-mode-only">
+    <img src="assets/formula/3-dark.svg#gh-dark-mode-only">
 </p>
 
 ---
 
-复合域 ![GF2p15p17-inlined] 的不可约多项式为：
+复合域 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) 的不可约多项式为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?Q%28%5Cbeta%29%3D%5Cbeta%5E%7B17%7D&plus;%5Cbeta%5E3&plus;1")
+    <img src="assets/formula/4-light.svg#gh-light-mode-only">
+    <img src="assets/formula/4-dark.svg#gh-dark-mode-only">
 </p>
 
-各项系数全部位于 ![GF2p15-inlined]。设复合域的标准基为：
+各项系数全部位于 ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only)。设复合域的标准基为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B_2%3D%5C%7B1%2C%5Cbeta%2C%5Cbeta%5E2%2C%5Cldots%2C%5Cbeta%5E%7B16%7D%5C%7D")
+    <img src="assets/formula/5-light.svg#gh-light-mode-only">
+    <img src="assets/formula/5-dark.svg#gh-dark-mode-only">
 </p>
 
-则位于复合域 ![GF2p15p17-inlined] 上的元素 ![B-inlined] 可以用如下方式表达：
+则位于复合域 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) 上的元素 ![B](assets/formula/BB-inlined-light.svg#gh-light-mode-only)![B](assets/formula/BB-inlined-dark.svg#gh-dark-mode-only) 可以用如下方式表达：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%28%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Calpha%5Ei%29%5Cbeta%5Ej%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Calpha%5Ei%5Cbeta%5Ej%20%5Cquad%20%5Cquad%20%5Cquad%20a_%7Bj%2Ci%7D%5Cin%5Ctextrm%7BGF%7D%282%29")
+    <img src="assets/formula/6-light.svg#gh-light-mode-only">
+    <img src="assets/formula/6-dark.svg#gh-dark-mode-only">
 </p>
 
 ---
 
-为了方便表述我们用255比特的大数 ![D-inlined] 来表示位于复合域 ![GF2p15p17-inlined] 上的元素 ![B-inlined]。它们的对应关系为：
+为了方便表述我们用255比特的大数 ![D](assets/formula/DD-inlined-light.svg#gh-light-mode-only)![D](assets/formula/DD-inlined-dark.svg#gh-dark-mode-only) 来表示位于复合域 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) 上的元素 ![B](assets/formula/BB-inlined-light.svg#gh-light-mode-only)![B](assets/formula/BB-inlined-dark.svg#gh-dark-mode-only)。它们的对应关系为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?B%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Calpha%5Ei%5Cbeta%5Ej%20%5Cleftrightarrow%20D%3D%5Csum_%7Bj%3D0%7D%5E%7B16%7D%5Csum_%7Bi%3D0%7D%5E%7B14%7Da_%7Bj%2Ci%7D%5Ccdot%202%5E%7B15j&plus;i%7D")
+    <img src="assets/formula/7-light.svg#gh-light-mode-only">
+    <img src="assets/formula/7-dark.svg#gh-dark-mode-only">
 </p>
 
-## 2. 复合域 ![GF2p15p17-inlined] 上的椭圆曲线
+## 2. 复合域 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) 上的椭圆曲线
 
 曲线方程为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?y%5E2&plus;xy%3Dx%5E3&plus;161%20%5Cquad%20%5Cquad%20%5Cquad%20161%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29")
+    <img src="assets/formula/8-light.svg#gh-light-mode-only">
+    <img src="assets/formula/8-dark.svg#gh-dark-mode-only">
 </p>
 
-基点 ![G-inlined] 为：
+基点 ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) 为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20G%26%3D%28G_x%2CG_y%29%20%5C%5C%20G_x%26%3D%5Ctextrm%7B0x56fdcbc6a27acee0cc2996e0096ae74feb1acf220a2341b898b549440297b8cc%7D%20%5Cquad%20G_x%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%5C%5C%20G_y%26%3D%5Ctextrm%7B0x20da32e8afc90b7cf0e76bde44496b4d0794054e6ea60f388682463132f931a7%7D%20%5Cquad%20G_y%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%20%5Cend%7Baligned%7D")
+    <img src="assets/formula/9-light.svg#gh-light-mode-only">
+    <img src="assets/formula/9-dark.svg#gh-dark-mode-only">
 </p>
 
-基点 ![G-inlined] 的阶 ![n-inlined] 为：
+基点 ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) 在曲线上的[验证示例](README.VERIFY_Point_G.zh-CN.md)。
+
+基点 ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) 的阶 ![n](assets/formula/n-inlined-light.svg#gh-light-mode-only)![n](assets/formula/n-inlined-dark.svg#gh-dark-mode-only) 为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?n%3D%5Ctextrm%7B0x1026dd85081b82314691ced9bbec30547840e4bf72d8b5e0d258442bbcd31%7D%20%5Cquad%20n%5Cin%5Cnolinebreak%5Cmathbb%7BZ%7D")
+    <img src="assets/formula/10-light.svg#gh-light-mode-only">
+    <img src="assets/formula/10-dark.svg#gh-dark-mode-only">
 </p>
 
 ## 3. 消息哈希算法
 
-设长度为 ![l-inlined] 的消息为：
+设长度为 ![l](assets/formula/l-inlined-light.svg#gh-light-mode-only)![l](assets/formula/l-inlined-dark.svg#gh-dark-mode-only) 的消息为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?M%3Dm_0m_1%20%5Cldots%20m_%7Bl-1%7D%20%5Cquad%20%5Cquad%20m_i%5Cin%5B0%2C%20256%29")
+    <img src="assets/formula/11-light.svg#gh-light-mode-only">
+    <img src="assets/formula/11-dark.svg#gh-dark-mode-only">
 </p>
 
-则消息 ![M-inlined] 的SHA1值为：
+则消息 ![M](assets/formula/MM-inlined-light.svg#gh-light-mode-only)![M](assets/formula/MM-inlined-dark.svg#gh-dark-mode-only) 的 SHA1 值为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?%5Ctextrm%7BSHA%7D_1%28M%29%3DS_0%7C%7CS_1%7C%7CS_2%7C%7CS_3%7C%7CS_4%20%5Cquad%20%5Cquad%20S_i%5Cin%5B0%2C%202%5E%7B32%7D%29")
+    <img src="assets/formula/12-light.svg#gh-light-mode-only">
+    <img src="assets/formula/12-dark.svg#gh-dark-mode-only">
 </p>
 
-其中 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20S_0%2CS_1%2CS_2%2CS_3%2CS_4) 为SHA1算法输出时的5个状态值；将这5个状态值按照大端字节序依次输出，即为的SHA1哈希值 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%5Ctextrm%7BSHA%7D_1%28M%29)。
+其中 ![s0,4](assets/formula/13-light.svg#gh-light-mode-only)![s0,4](assets/formula/13-dark.svg#gh-dark-mode-only) 为 SHA1 算法输出时的5个状态值；将这5个状态值按照大端字节序依次输出，即为的 SHA1 哈希值 ![SHA1M](assets/formula/14-light.svg#gh-light-mode-only)![SHA1M](assets/formula/14-dark.svg#gh-dark-mode-only)。
 
-WinRAR在做完SHA1计算后，采用大数 ![h-inlined] 作为ECC签名时消息的哈希：
+WinRAR 在做完 SHA1 计算后，采用大数 ![h](assets/formula/h-inlined-light.svg#gh-light-mode-only)![h](assets/formula/h-inlined-dark.svg#gh-dark-mode-only) 作为 ECC 签名时消息的哈希：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?h%3D%28%5Csum_%7Bi%3D0%7D%5E%7B4%7DS_i%20%5Ccdot%202%5E%7B32i%7D%29&plus;%5Ctextrm%7B0x1bd10xb4e33c7c0ffd8d43%7D%20%5Ccdot%202%5E%7B32*5%7D")
+    <img src="assets/formula/15-light.svg#gh-light-mode-only">
+    <img src="assets/formula/15-dark.svg#gh-dark-mode-only">
 </p>
 
-
 ## 4. ECC签名算法
 
-设私钥为 ![k-inlined]，公钥为 ![P-inlined]，即：
+设私钥为 ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only)，公钥为 ![P](assets/formula/PP-inlined-light.svg#gh-light-mode-only)![P](assets/formula/PP-inlined-dark.svg#gh-dark-mode-only)，即：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?P%3Dk%20%5Ccdot%20G")
+    <img src="assets/formula/16-light.svg#gh-light-mode-only">
+    <img src="assets/formula/16-dark.svg#gh-dark-mode-only">
 </p>
 
-消息哈希为 ![h-inlined]，则签名 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28r%2Cs%29) 为：
+消息哈希为 ![h](assets/formula/h-inlined-light.svg#gh-light-mode-only)![h](assets/formula/h-inlined-dark.svg#gh-dark-mode-only)，则签名 ![(r,s)](assets/formula/17-light.svg#gh-light-mode-only)![(r,s)](assets/formula/17-dark.svg#gh-dark-mode-only) 为：
 
-1. 生成随机数 ![Rnd-inlined]，满足 ![](http://latex.codecogs.com/svg.latex?%5Cinline%200%3CRnd%3Cn)。
+1. 生成随机数 ![Rnd](assets/formula/Rnd-inlined-light.svg#gh-light-mode-only)![Rnd](assets/formula/Rnd-inlined-dark.svg#gh-dark-mode-only)，满足 ![RND](assets/formula/18-light.svg#gh-light-mode-only)![RND](assets/formula/18-dark.svg#gh-dark-mode-only)。
 
-2. 计算 ![r-inlined]
+2. 计算 ![r](assets/formula/r-inlined-light.svg#gh-light-mode-only)![r](assets/formula/r-inlined-dark.svg#gh-dark-mode-only)
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?r%3D%28%28Rnd%20%5Ccdot%20G%29_x&plus;h%29%5C%20%5C%20Mod%5C%20%5C%20n">
+       <img src="assets/formula/19-light.svg#gh-light-mode-only">
+       <img src="assets/formula/19-dark.svg#gh-dark-mode-only">
    </p>
 
-   其中 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28Rnd%20%5Ccdot%20G%29_x) 表示取 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20Rnd%20%5Ccdot%20G) 的X坐标，同时将X坐标从 ![GF2p15p17-inlined] 转换为大数。
 
-   若 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r%3D0) 或者 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r&plus;Rnd%3Dn) 则回到步骤1。
+   其中 ![RNDGx](assets/formula/20-light.svg#gh-light-mode-only)![RNDGx](assets/formula/20-dark.svg#gh-dark-mode-only) 表示取 ![RNDG](assets/formula/21-light.svg#gh-light-mode-only)![RNDG](assets/formula/21-dark.svg#gh-dark-mode-only) 的 X 坐标，同时将 X 坐标从 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only) 转换为大数。
 
-3. 计算 ![s-inlined]
+   若 ![r=0](assets/formula/22-light.svg#gh-light-mode-only)![r=0](assets/formula/22-dark.svg#gh-dark-mode-only) 或者 ![rRnd](assets/formula/23-light.svg#gh-light-mode-only)![rRnd](assets/formula/23-dark.svg#gh-dark-mode-only) 则回到步骤1。
+
+3. 计算 ![s](assets/formula/s-inlined-light.svg#gh-light-mode-only)![s](assets/formula/s-inlined-dark.svg#gh-dark-mode-only)
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?s%3D%28Rnd-kr%29%5C%20%5C%20Mod%5C%20%5C%20n">
+       <img src="assets/formula/24-light.svg#gh-light-mode-only">
+       <img src="assets/formula/24-dark.svg#gh-dark-mode-only">
    </p>
 
-   若 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s%3D0) 则回到步骤1。
 
-4. 输出 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28r%2Cs%29)。
+   若 ![s=0](assets/formula/25-light.svg#gh-light-mode-only)![s=0](assets/formula/25-dark.svg#gh-dark-mode-only) 则回到步骤1。
+
+4. 输出 ![(r,s)](assets/formula/17-light.svg#gh-light-mode-only)![(r,s)](assets/formula/17-dark.svg#gh-dark-mode-only)。
 
 ## 5. WinRAR的私钥生成算法
 
-该算法会利用长度为 ![l-inlined] 的数据 
+该算法会利用长度为 ![l](assets/formula/l-inlined-light.svg#gh-light-mode-only)![l](assets/formula/l-inlined-dark.svg#gh-dark-mode-only) 的数据 
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?T%3Dt_0t_1%20%5Cldots%20t_%7Bl-1%7D%20%5Cquad%20%5Cquad%20t_i%5Cin%5B0%2C256%29">
+    <img src="assets/formula/26-light.svg#gh-light-mode-only">
+    <img src="assets/formula/26-dark.svg#gh-dark-mode-only">
 </p>
 
-来生成私钥 ![k-inlined]。
+来生成私钥 ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only)。
 
-1. 设6个32位整数为 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_0%2Cg_1%2Cg_2%2Cg_3%2Cg_4%2Cg_5)，则有
+1. 设6个32位整数为 ![g0-5](assets/formula/27-light.svg#gh-light-mode-only)![g0-5](assets/formula/27-dark.svg#gh-dark-mode-only)，则有
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?g_j%3D%5Csum_%7Bi%3D0%7D%5E%7B3%7Dg_%7Bj%2Ci%7D%20%5Ccdot%202%5E%7B8i%7D%20%5Cquad%20%5Cquad%20g_%7Bj%2Ci%7D%5Cin%5B0%2C256%29">
+       <img src="assets/formula/28-light.svg#gh-light-mode-only">
+       <img src="assets/formula/28-dark.svg#gh-dark-mode-only">
    </p>
 
-2. 令 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_0%3D0)。
+2. 令 ![g0=0](assets/formula/29-light.svg#gh-light-mode-only)![g0=0](assets/formula/29-dark.svg#gh-dark-mode-only)。
 
-3. 如果 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20l%5Cneq%200) 则计算 ![T-inlined] 的SHA1值，并将状态值 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20S_i) 赋值给 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_%7Bi&plus;1%7D)：
+3. 如果 ![l!=0](assets/formula/30-light.svg#gh-light-mode-only)![l!=0](assets/formula/30-dark.svg#gh-dark-mode-only) 则计算 ![T](assets/formula/TT-inlined-light.svg#gh-light-mode-only)![T](assets/formula/TT-inlined-dark.svg#gh-dark-mode-only) 的 SHA1 值，并将状态值 ![Si](assets/formula/31-light.svg#gh-light-mode-only)![Si](assets/formula/31-dark.svg#gh-dark-mode-only) 赋值给 ![gi+1](assets/formula/32-light.svg#gh-light-mode-only)![gi+1](assets/formula/32-dark.svg#gh-dark-mode-only)：
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20%5Ctextrm%7BSHA%7D_1%28T%29%26%3DS_0%7C%7CS_1%7C%7CS_2%7C%7CS_3%7C%7CS_4%20%5C%5C%20g_1%26%3DS_0%20%5C%5C%20g_2%26%3DS_1%20%5C%5C%20g_3%26%3DS_2%20%5C%5C%20g_4%26%3DS_3%20%5C%5C%20g_5%26%3DS_4%20%5C%5C%20%5Cend%7Baligned%7D">
+       <img src="assets/formula/33-light.svg#gh-light-mode-only">
+       <img src="assets/formula/33-dark.svg#gh-dark-mode-only">
    </p>
 
-   否则，即 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20l%3D0) 时，令：
+
+   否则，即 ![l=0](assets/formula/34-light.svg#gh-light-mode-only)![l=0](assets/formula/34-dark.svg#gh-dark-mode-only) 时，令：
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20g_1%26%3D%5Ctextrm%7B0xeb3eb781%7D%20%5C%5C%20g_2%26%3D%5Ctextrm%7B0x50265329%7D%20%5C%5C%20g_3%26%3D%5Ctextrm%7B0xdc5ef4a3%7D%20%5C%5C%20g_4%26%3D%5Ctextrm%7B0x6847b9d5%7D%20%5C%5C%20g_5%26%3D%5Ctextrm%7B0xcde43b4c%7D%20%5C%5C%20%5Cend%7Baligned%7D">
+       <img src="assets/formula/35-light.svg#gh-light-mode-only">
+       <img src="assets/formula/35-dark.svg#gh-dark-mode-only">
    </p>
 
-4. 把 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20g_0) 作为计数器，自增1。
+4. 把 ![g0](assets/formula/36-light.svg#gh-light-mode-only)![g0](assets/formula/36-dark.svg#gh-dark-mode-only)  作为计数器，自增1。
 
-   计算SHA1值：
+   计算 SHA1 值：
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?%5Ctextrm%7BSHA%7D_1%28g_%7B0%2C0%7D%7C%7Cg_%7B0%2C1%7D%7C%7Cg_%7B0%2C2%7D%7C%7Cg_%7B0%2C3%7D%7C%7Cg_%7B1%2C0%7D%7C%7Cg_%7B1%2C1%7D%7C%7C%5Cldots%7C%7Cg_%7B5%2C0%7D%7C%7Cg_%7B5%2C1%7D%7C%7Cg_%7B5%2C2%7D%7C%7Cg_%7B5%2C3%7D%29%3DS_0%7C%7CS_1%7C%7CS_2%7C%7CS_3%7C%7CS_4">
+       <img src="assets/formula/37-light.svg#gh-light-mode-only">
+       <img src="assets/formula/37-dark.svg#gh-dark-mode-only">
    </p>
 
-   取 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20S_0) 的低16位并记为 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_%7Bg_0%7D)。
+
+   取 ![S0](assets/formula/38-light.svg#gh-light-mode-only)![S0](assets/formula/38-dark.svg#gh-dark-mode-only) 的低16位并记为 ![Kg0](assets/formula/39-light.svg#gh-light-mode-only)![Kg0](assets/formula/39-dark.svg#gh-dark-mode-only)。
 
 5. 步骤4再重复14次。
 
-6. 重复执行完后会得到 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_1%2Ck_2%2Ck_3%2C%5Cldots%2Ck_%7B15%7D)，则输出私钥
+6. 重复执行完后会得到 ![k1-15](assets/formula/40-light.svg#gh-light-mode-only)![k1-15](assets/formula/40-dark.svg#gh-dark-mode-only)，则输出私钥
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?k%3D%5Csum_%7Bi%3D1%7D%5E%7B15%7Dk_i%20%5Ccdot%202%5E%7B16i%7D">
+       <img src="assets/formula/41-light.svg#gh-light-mode-only">
+       <img src="assets/formula/41-dark.svg#gh-dark-mode-only">
    </p>
 
 ## 6. WinRAR的公钥和私钥
 
-WinRAR的私钥 ![k-inlined] 为：
+WinRAR 的私钥 ![k](assets/formula/k-inlined-light.svg#gh-light-mode-only)![k](assets/formula/k-inlined-dark.svg#gh-dark-mode-only) 为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?k%3D%5Ctextrm%7B0x59fe6abcca90bdb95f0105271fa85fb9f11f467450c1ae9044b7fd61d65e%7D%20%5Cquad%20%5Cquad%20k%5Cin%5Cnolinebreak%5Cmathbb%7BZ%7D">
+    <img src="assets/formula/42-light.svg#gh-light-mode-only">
+    <img src="assets/formula/42-dark.svg#gh-dark-mode-only">
 </p>
 
-该私钥是通过算法5生成的，其中数据 ![T-inlined] 的长度为0。
+该私钥是通过算法5生成的，其中数据 ![T](assets/formula/TT-inlined-light.svg#gh-light-mode-only)![T](assets/formula/TT-inlined-dark.svg#gh-dark-mode-only) 的长度为0。
 
-公钥 ![P-inlined] 为：
+公钥 ![P](assets/formula/PP-inlined-light.svg#gh-light-mode-only)![P](assets/formula/PP-inlined-dark.svg#gh-dark-mode-only) 为：
 
 <p align="center">
-    <img src="http://latex.codecogs.com/svg.latex?%5Cbegin%7Baligned%7D%20P%26%3D%28P_x%2CP_y%29%20%5C%5C%20P_x%26%3D%5Ctextrm%7B0x3861220ed9b36c9753df09a159dfb148135d495db3af8373425ee9a28884ba1a%7D%20%5Cquad%20P_x%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%20%5C%5C%20P_y%26%3D%5Ctextrm%7B0x12b64e62db43a56114554b0cbd573379338cea9124c8443c4f50e6c8b013ec20%7D%20%5Cquad%20P_y%5Cin%5Ctextrm%7BGF%7D%28%282%5E%7B15%7D%29%5E%7B17%7D%29%20%5Cend%7Baligned%7D">
+    <img src="assets/formula/43-light.svg#gh-light-mode-only">
+    <img src="assets/formula/43-dark.svg#gh-dark-mode-only">
 </p>
 
 ## 7. 授权文件"rarreg.key"的生成
 
 授权文件的生成需要两个参数：
 
-1. 用户名的ANSI字符串，不包括null-terminator；记为 
+1. 用户名的 ANSI 字符串，不包括 null-terminator；记为 
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?U%3Du_0u_1%20%5Cldots%20u_%7Bl-1%7D">
+       <img src="assets/formula/44-light.svg#gh-light-mode-only">
+       <img src="assets/formula/44-dark.svg#gh-dark-mode-only">
    </p>
 
-2. 授权类型的ANSI字符串，不包括null-terminator；记为
+2. 授权类型的 ANSI 字符串，不包括 null-terminator；记为
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?L%3Dl_0l_1%20%5Cldots%20l_%7Bl-1%7D">
+       <img src="assets/formula/45-light.svg#gh-light-mode-only">
+       <img src="assets/formula/45-dark.svg#gh-dark-mode-only">
    </p>
 
 `rarreg.key` 的生成算法如下：
 
-1. 使用用户名 ![UU-inlined] 通过算法5计算出私钥 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_U) 以及公钥 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20P_U)，并将公钥 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20P_U) 按照SM2压缩公钥格式以Hex字符串（ASCII编码）的形式输出。得到的Hex字符串记为临时值 ![Temp-inlined]。
+1. 使用用户名 ![U](assets/formula/UU-inlined-light.svg#gh-light-mode-only)![U](assets/formula/UU-inlined-dark.svg#gh-dark-mode-only) 通过算法5计算出私钥 ![ku](assets/formula/46-light.svg#gh-light-mode-only)![ku](assets/formula/46-dark.svg#gh-dark-mode-only) 以及公钥 ![pu](assets/formula/47-light.svg#gh-light-mode-only)![pu](assets/formula/47-dark.svg#gh-dark-mode-only)，并将公钥 ![pu](assets/formula/47-light.svg#gh-light-mode-only)![pu](assets/formula/47-dark.svg#gh-dark-mode-only) 按照 SM2 压缩公钥格式以 Hex 字符串（ASCII编码）的形式输出。得到的 Hex 字符串记为临时值 ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only)。
 
-   ![Temp-inlined] 的长度应该为64；若长度不足，则在前面补字符`'0'`，直到长度为64。
+   ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only) 的长度应该为64；若长度不足，则在前面补字符 `'0'`，直到长度为64。
 
-2. 令字符串 ![Data3-inlined]为
+2. 令字符串 ![Data3](assets/formula/Data3-inlined-light.svg#gh-light-mode-only)![Data3](assets/formula/Data3-inlined-dark.svg#gh-dark-mode-only) 为
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?Data%5E3%3D%5Ctexttt%7B%2260%22%7D%7C%7CTemp_0%7C%7CTemp_1%7C%7C%5Cldots%7C%7CTemp_%7B47%7D">
+       <img src="assets/formula/48-light.svg#gh-light-mode-only">
+       <img src="assets/formula/48-dark.svg#gh-dark-mode-only">
    </p>
 
-3. 使用 ![Data3-inlined] 通过算法5计算出私钥 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20k_%7BData%5E3%7D) 以及公钥 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20P_%7BData%5E3%7D)，并将公钥 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20P_%7BData%5E3%7D) 按照SM2压缩公钥格式以Hex字符串（ASCII编码）的形式输出。得到的Hex字符串记为 ![Data0-inlined]。
+3. 使用 ![Data3](assets/formula/Data3-inlined-light.svg#gh-light-mode-only)![Data3](assets/formula/Data3-inlined-dark.svg#gh-dark-mode-only) 通过算法5计算出私钥 ![kdata3](assets/formula/49-light.svg#gh-light-mode-only)![kdata3](assets/formula/49-dark.svg#gh-dark-mode-only) 以及公钥 ![pdata3](assets/formula/50-light.svg#gh-light-mode-only)![pdata3](assets/formula/50-dark.svg#gh-dark-mode-only)，并将公钥 ![pdata3](assets/formula/50-light.svg#gh-light-mode-only)![pdata3](assets/formula/50-dark.svg#gh-dark-mode-only) 按照 SM2 压缩公钥格式以 Hex 字符串（ASCII编码）的形式输出。得到的 Hex 字符串记为 ![Data0](assets/formula/Data0-inlined-light.svg#gh-light-mode-only)![Data0](assets/formula/Data0-inlined-dark.svg#gh-dark-mode-only)。
 
-   ![Data0-inlined] 的长度应该为64；若长度不足，则在前面补字符`'0'`，直到长度为64。
+   ![Data0](assets/formula/Data0-inlined-light.svg#gh-light-mode-only)![Data0](assets/formula/Data0-inlined-dark.svg#gh-dark-mode-only) 的长度应该为64；若长度不足，则在前面补字符 `'0'`，直到长度为64。
 
-4. 令字符串 ![UID-inlined]为
+4. 令字符串 ![UID](assets/formula/UID-inlined-light.svg#gh-light-mode-only)![UID](assets/formula/UID-inlined-dark.svg#gh-dark-mode-only) 为
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?UID%3DTemp_%7B48%7D%7C%7CTemp_%7B49%7D%7C%7C%5Cldots%7C%7CTemp_%7B63%7D%7C%7CData%5E0_0%7C%7CData%5E0_1%7C%7CData%5E0_2%7C%7CData%5E0_3">
+       <img src="assets/formula/51-light.svg#gh-light-mode-only">
+       <img src="assets/formula/51-dark.svg#gh-dark-mode-only">
    </p>
 
-5. 对授权类型 ![LL-inlined] 使用算法4得到签名 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28r_L%2Cs_L%29)，其中私钥见第6节。
+5. 对授权类型 ![L](assets/formula/LL-inlined-light.svg#gh-light-mode-only)![L](assets/formula/LL-inlined-dark.svg#gh-dark-mode-only) 使用算法4得到签名 ![(rl,sl)](assets/formula/52-light.svg#gh-light-mode-only)![(rl,sl)](assets/formula/52-dark.svg#gh-dark-mode-only)，其中私钥见第6节。
 
-   要求 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_L) 和 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_L) 的长度都不得超过240比特，否则重复该步骤。
+   要求 ![rl](assets/formula/53-light.svg#gh-light-mode-only)![rl](assets/formula/53-dark.svg#gh-dark-mode-only) 和 ![sl](assets/formula/54-light.svg#gh-light-mode-only)![sl](assets/formula/54-dark.svg#gh-dark-mode-only) 的长度都不得超过240比特，否则重复该步骤。
 
-6. 将 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_L) 和 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_L) 以16进制形式输出（无`"0x"`前缀），分别记为 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Br_L%7D) 和 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bs_L%7D)。
+6. 将 ![rl](assets/formula/53-light.svg#gh-light-mode-only)![rl](assets/formula/53-dark.svg#gh-dark-mode-only) 和 ![sl](assets/formula/54-light.svg#gh-light-mode-only)![sl](assets/formula/54-dark.svg#gh-dark-mode-only) 以16进制形式输出（无 `"0x"` 前缀），分别记为 ![SZrl](assets/formula/55-light.svg#gh-light-mode-only)![SZrl](assets/formula/55-dark.svg#gh-dark-mode-only) 和 ![SZsl](assets/formula/56-light.svg#gh-light-mode-only)![SZsl](assets/formula/56-dark.svg#gh-dark-mode-only)。
 
-   若长度不满60，则在前面补字符`'0'`，直到长度为60。
+   若长度不满60，则在前面补字符 `'0'`，直到长度为60。
 
-7. 令字符串 ![Data1-inlined]为
+7. 令字符串 ![Data1](assets/formula/Data1-inlined-light.svg#gh-light-mode-only)![Data1](assets/formula/Data1-inlined-dark.svg#gh-dark-mode-only) 为
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?Data%5E1%3D%5Ctexttt%7B%2260%22%7D%7C%7CSZ%5E%7Bs_L%7D%7C%7CSZ%5E%7Br_L%7D">
+       <img src="assets/formula/57-light.svg#gh-light-mode-only">
+       <img src="assets/formula/57-dark.svg#gh-dark-mode-only">
    </p>
 
-8. 令字符串 ![Temp-inlined]为
+8. 令字符串 ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only) 为
 
    <p align="center">
-       <img src="http://latex.codecogs.com/svg.latex?Temp%3DU%7C%7CData%5E0">
+       <img src="assets/formula/58-light.svg#gh-light-mode-only">
+       <img src="assets/formula/58-dark.svg#gh-dark-mode-only">
    </p>
 
-   对 ![Temp-inlined] 使用算法4得到签名 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20%28r_%7BTemp%7D%2Cs_%7BTemp%7D%29)，其中私钥见第6节。
-   
-   要求 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_%7BTemp%7D) 和 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_%7BTemp%7D) 的长度都不得超过240比特，否则重复该步骤。
 
-9. 将 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20r_%7BTemp%7D) 和 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20s_%7BTemp%7D) 以16进制形式输出（无`"0x"`前缀），分别记为 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Br_%7BTemp%7D%7D) 和 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bs_%7BTemp%7D%7D)。
+   对 ![Temp](assets/formula/Temp-inlined-light.svg#gh-light-mode-only)![Temp](assets/formula/Temp-inlined-dark.svg#gh-dark-mode-only) 使用算法4得到签名 ![(rTemp,sTemp)](assets/formula/59-light.svg#gh-light-mode-only)![(rTemp,sTemp)](assets/formula/59-dark.svg#gh-dark-mode-only)，其中私钥见第6节。
 
-   若长度不满60，则在前面补字符`'0'`，直到长度为60。
+   要求 ![rTemp](assets/formula/60-light.svg#gh-light-mode-only)![rTemp](assets/formula/60-dark.svg#gh-dark-mode-only) 和 ![sTemp](assets/formula/61-light.svg#gh-light-mode-only)![sTemp](assets/formula/61-dark.svg#gh-dark-mode-only)  的长度都不得超过240比特，否则重复该步骤。
 
-10. 令字符串 ![Data2-inlined]为
+9. 将 ![rTemp](assets/formula/60-light.svg#gh-light-mode-only)![rTemp](assets/formula/60-dark.svg#gh-dark-mode-only) 和 ![sTemp](assets/formula/61-light.svg#gh-light-mode-only)![sTemp](assets/formula/61-dark.svg#gh-dark-mode-only) 以16进制形式输出（无 `"0x"` 前缀），分别记为 ![SZrTemp](assets/formula/62-light.svg#gh-light-mode-only)![SZrTemp](assets/formula/62-dark.svg#gh-dark-mode-only) 和 ![SZsTemp](assets/formula/63-light.svg#gh-light-mode-only)![SZsTemp](assets/formula/63-dark.svg#gh-dark-mode-only)。
+
+   若长度不满60，则在前面补字符 `'0'`，直到长度为60。
+
+10. 令字符串 ![Data2](assets/formula/Data2-inlined-light.svg#gh-light-mode-only)![Data2](assets/formula/Data2-inlined-dark.svg#gh-dark-mode-only) 为
 
     <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?Data%5E2%3D%5Ctexttt%7B%2260%22%7D%7C%7CSZ%5E%7Bs_%7BTemp%7D%7D%7C%7CSZ%5E%7Br_%7BTemp%7D%7D">
+        <img src="assets/formula/64-light.svg#gh-light-mode-only">
+        <img src="assets/formula/64-dark.svg#gh-dark-mode-only">
     </p>
 
 11. 对
 
     <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?L%7C%7CU%7C%7CData%5E0%7C%7CData%5E1%7C%7CData%5E2%7C%7CData%5E3">
+        <img src="assets/formula/65-light.svg#gh-light-mode-only">
+        <img src="assets/formula/65-dark.svg#gh-dark-mode-only">
     </p>
 
-    计算CRC32值，最终校验和为CRC32值的反。将校验和以10进制形式输出，若长度不满10，则在前面补字符`'0'`，直到长度为10，记为 ![](http://latex.codecogs.com/svg.latex?%5Cinline%20SZ%5E%7Bchecksum%7D)。
+计算 CRC32 值，最终校验和为 CRC32 值的反。将校验和以10进制形式输出，若长度不满10，则在前面补字符 `'0'`，直到长度为10，记为 ![SZchecksum](assets/formula/66-light.svg#gh-light-mode-only)![SZchecksum](assets/formula/66-dark.svg#gh-dark-mode-only)。
 
-12. 令字符串 ![Data-inlined]为
+12. 令字符串 ![Data](assets/formula/Data-inlined-light.svg#gh-light-mode-only)![Data](assets/formula/Data-inlined-dark.svg#gh-dark-mode-only) 为
 
     <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?%5Cinline%20Data%3DData%5E0%7C%7CData%5E1%7C%7CData%5E2%7C%7CData%5E3%7C%7CSZ%5E%7Bchecksum%7D">
+        <img src="assets/formula/67-light.svg#gh-light-mode-only">
+        <img src="assets/formula/67-dark.svg#gh-dark-mode-only">
     </p>
 
 13. 格式化输出。
 
-    * 固定文件头`"RAR registration data"`，占一行。
+    * 固定文件头 `"RAR registration data"`，占一行。
 
     * 用户名，占一行。
 
@@ -313,8 +325,8 @@ WinRAR的私钥 ![k-inlined] 为：
     * UID，占一行：
 
       <p align="center">
-        <img src="http://latex.codecogs.com/svg.latex?%5Ctexttt%7B%22UID%3D%22%7D%7C%7CUID">
+      	<img src="assets/formula/68-light.svg#gh-light-mode-only">
+          <img src="assets/formula/68-dark.svg#gh-dark-mode-only">
       </p>
-
+    
-    * 将 ![Data-inlined] 按照每行54个字符输出。
+    * 将 ![Data](assets/formula/Data-inlined-light.svg#gh-light-mode-only)![Data](assets/formula/Data-inlined-dark.svg#gh-dark-mode-only) 按照每行54个字符输出。
-

README.VERIFY_Point_G.md

@@ -0,0 +1,155 @@
+# Verifying point G lies on the curve
+
+## 1. Composite field, curves and point G
+
+Composite field is ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only).
+
+And the base field is ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only) ![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only), i.e. each element in the domain is a `15-bit` number. The number of extensions is 17, so the entire composite domain element can be viewed as a 17-term polynomial, each term being ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only).
+
+The equation of the elliptic curve that WinRAR uses is
+
+<p align="center">
+    <img src="assets/formula/8-light.svg#gh-light-mode-only">
+    <img src="assets/formula/8-dark.svg#gh-dark-mode-only">
+</p>
+
+The base point ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) is
+
+<p align="center">
+    <img src="assets/formula/9-light.svg#gh-light-mode-only">
+    <img src="assets/formula/9-dark.svg#gh-dark-mode-only">
+</p>
+
+## 2. Conversion point G
+
+Convert the point ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) (in large integer format) into the required little-endian representation of `15-bit` segments for the field  ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only). A Python for converting the point ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) is as follows.
+
+```python
+def to_field_repr(val, bits=15, count=17):
+    mask = (1 << bits) - 1
+    result = []
+    for _ in range(count):
+        result.append(val & mask)
+        val >>= bits
+    return result
+
+def print_field(label, field_data):
+    print(f"{label} = to_field([")
+    for i in range(len(field_data)):
+        print(f"    0x{field_data[i]:04X},", end="\n" if (i + 1) % 4 == 0 else " ")
+    print("])")
+
+Gx_int = 0x56fdcbc6a27acee0cc2996e0096ae74feb1acf220a2341b898b549440297b8cc
+Gy_int = 0x20da32e8afc90b7cf0e76bde44496b4d0794054e6ea60f388682463132f931a7
+
+Gx_field = to_field_repr(Gx_int)
+Gy_field = to_field_repr(Gy_int)
+
+print_field("Gx", Gx_field)
+print()
+print_field("Gy", Gy_field)
+```
+
+The output can be seen in lines 435 to 456 of the WinRarConfig.hpp file.
+
+```
+Gx = to_field([
+    0x38CC,     0x052F,     0x2510,     0x45AA,
+    0x1B89,     0x4468,     0x4882,     0x0D67,
+    0x4FEB,     0x55CE,     0x0025,     0x4CB7,
+    0x0CC2,     0x59DC,     0x289E,     0x65E3,
+    0x56FD
+])
+
+Gy = to_field([
+    0x31A7,     0x65F2,     0x18C4,     0x3412,
+    0x7388,     0x54C1,     0x539B,     0x4A02,
+    0x4D07,     0x12D6,     0x7911,     0x3B5E,
+    0x4F0E,     0x216F,     0x2BF2,     0x1974,
+    0x20DA
+])
+```
+
+## 3. Verify whether the Point G and PK are on the curve
+
+A Python code to verify whether the base point ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) and PK are on the curve is as follows.
+
+```python
+#  GF(((2^15)^17))
+def gf2_15_add(a, b):
+    return a ^ b
+
+def gf2_15_mul(a, b):
+    # Modulus: x^15 + x + 1
+    res = 0
+    for i in range(15):
+        if (b >> i) & 1:
+            res ^= a << i
+    # Irreducible polynomial: x^15 + x + 1
+    for i in range(29, 14, -1):
+        if (res >> i) & 1:
+            res ^= 0b1000000000000011 << (i - 15)
+    return res & 0x7FFF  # 15-bit mask
+
+def gf2_15_poly_add(a, b):
+    return [gf2_15_add(x, y) for x, y in zip(a, b)]
+
+def gf2_15_poly_mul(a, b):
+    res = [0] * 33
+    for i in range(17):
+        for j in range(17):
+            res[i + j] ^= gf2_15_mul(a[i], b[j])
+    return res
+
+def gf2_15_17_mod(poly):
+    # Modulus: y^17 + y^3 + 1
+    for i in range(len(poly) - 1, 16, -1):
+        if poly[i]:
+            poly[i - 17] ^= poly[i]
+            poly[i - 14] ^= poly[i]
+            poly[i] = 0
+    return poly[:17]
+
+def gf2_15_17_mul(a, b):
+    return gf2_15_17_mod(gf2_15_poly_mul(a, b))
+
+def gf2_15_17_square(a):
+    return gf2_15_17_mul(a, a)
+
+def gf2_15_17_add(a, b):
+    return gf2_15_poly_add(a, b)
+
+def gf2_15_17_eq(a, b):
+    return all(x == y for x, y in zip(a, b))
+
+def is_on_curve(x, y, b):
+    y2 = gf2_15_17_square(y)
+    xy = gf2_15_17_mul(x, y)
+    lhs = gf2_15_17_add(y2, xy)
+    x2 = gf2_15_17_square(x)
+    x3 = gf2_15_17_mul(x2, x)
+    rhs = gf2_15_17_add(x3, b)
+    return gf2_15_17_eq(lhs, rhs)
+
+def to_field(arr):
+    assert len(arr) == 17
+    return arr[:]
+
+# Parameter definition
+b = [0x00] * 17
+b = [161] + [0]*16  # Constant element in GF((2^15)^17), equivalent to b[0] = 0xA1
+
+Gx = to_field([0x38CC, 0x052F, 0x2510, 0x45AA, 0x1B89, 0x4468, 0x4882, 0x0D67,
+               0x4FEB, 0x55CE, 0x0025, 0x4CB7, 0x0CC2, 0x59DC, 0x289E, 0x65E3, 0x56FD])
+Gy = to_field([0x31A7, 0x65F2, 0x18C4, 0x3412, 0x7388, 0x54C1, 0x539B, 0x4A02,
+               0x4D07, 0x12D6, 0x7911, 0x3B5E, 0x4F0E, 0x216F, 0x2BF2, 0x1974, 0x20DA])
+
+PKx = to_field([0x3A1A, 0x1109, 0x268A, 0x12F7, 0x3734, 0x75F0, 0x576C, 0x2EA4,
+                0x4813, 0x3F62, 0x0567, 0x784D, 0x753D, 0x6D92, 0x366C, 0x1107, 0x3861])
+PKy = to_field([0x6C20, 0x6027, 0x1B22, 0x7A87, 0x43C4, 0x1908, 0x2449, 0x4675,
+                0x7933, 0x2E66, 0x32F5, 0x2A58, 0x1145, 0x74AC, 0x36D0, 0x2731, 0x12B6])
+
+# Verification
+print("Verify whether the point G is on the curve:", is_on_curve(Gx, Gy, b))
+print("Verify whether the PK is on the curve:", is_on_curve(PKx, PKy, b))
+```

README.VERIFY_Point_G.zh-CN.md

@@ -0,0 +1,155 @@
+# 验证基点G在曲线上
+
+## 1. 复合域、曲线和基点G
+
+复合域为 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only)。
+
+基域为 ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only) ，即域中每个元素是一个 `15-bit` 的数字。扩展次数是17，所以整个复合域元素可以看作是一个17项的多项式，每项都是 ![GF2p15-inlined](assets/formula/GF2p15-inlined-light.svg#gh-light-mode-only)![GF2p15-inlined](assets/formula/GF2p15-inlined-dark.svg#gh-dark-mode-only) 中的数。
+
+曲线方程为：
+
+<p align="center">
+    <img src="assets/formula/8-light.svg#gh-light-mode-only">
+    <img src="assets/formula/8-dark.svg#gh-dark-mode-only">
+</p>
+
+基点 ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) 为：
+
+<p align="center">
+    <img src="assets/formula/9-light.svg#gh-light-mode-only">
+    <img src="assets/formula/9-dark.svg#gh-dark-mode-only">
+</p>
+
+## 2. 转换基点G
+
+将基点 ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only)（以大整数形式）转换为 ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-light.svg#gh-light-mode-only) ![GF2p15p17-inlined](assets/formula/GF2p15p17-inlined-dark.svg#gh-dark-mode-only)所需的 `15-bit` 小端表示形式。一个转换基点 ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) 的 Python 脚本如下：
+
+```python
+def to_field_repr(val, bits=15, count=17):
+    mask = (1 << bits) - 1
+    result = []
+    for _ in range(count):
+        result.append(val & mask)
+        val >>= bits
+    return result
+
+def print_field(label, field_data):
+    print(f"{label} = to_field([")
+    for i in range(len(field_data)):
+        print(f"    0x{field_data[i]:04X},", end="\n" if (i + 1) % 4 == 0 else " ")
+    print("])")
+
+Gx_int = 0x56fdcbc6a27acee0cc2996e0096ae74feb1acf220a2341b898b549440297b8cc
+Gy_int = 0x20da32e8afc90b7cf0e76bde44496b4d0794054e6ea60f388682463132f931a7
+
+Gx_field = to_field_repr(Gx_int)
+Gy_field = to_field_repr(Gy_int)
+
+print_field("Gx", Gx_field)
+print()
+print_field("Gy", Gy_field)
+```
+
+输出结果可以看到正是 WinRarConfig.hpp 文件中 435~456 行的内容：
+
+```
+Gx = to_field([
+    0x38CC,     0x052F,     0x2510,     0x45AA,
+    0x1B89,     0x4468,     0x4882,     0x0D67,
+    0x4FEB,     0x55CE,     0x0025,     0x4CB7,
+    0x0CC2,     0x59DC,     0x289E,     0x65E3,
+    0x56FD
+])
+
+Gy = to_field([
+    0x31A7,     0x65F2,     0x18C4,     0x3412,
+    0x7388,     0x54C1,     0x539B,     0x4A02,
+    0x4D07,     0x12D6,     0x7911,     0x3B5E,
+    0x4F0E,     0x216F,     0x2BF2,     0x1974,
+    0x20DA
+])
+```
+
+## 3. 验证基点G和PK是否在曲线上
+
+一个验证基点 ![G](assets/formula/GG-inlined-light.svg#gh-light-mode-only)![G](assets/formula/GG-inlined-dark.svg#gh-dark-mode-only) 和PK是否在曲线上的 Python 脚本如下：
+
+```python
+#  GF(((2^15)^17))
+def gf2_15_add(a, b):
+    return a ^ b
+
+def gf2_15_mul(a, b):
+    # 模 x^15 + x + 1
+    res = 0
+    for i in range(15):
+        if (b >> i) & 1:
+            res ^= a << i
+    # 模多项式 x^15 + x + 1
+    for i in range(29, 14, -1):
+        if (res >> i) & 1:
+            res ^= 0b1000000000000011 << (i - 15)
+    return res & 0x7FFF  # 15-bit mask
+
+def gf2_15_poly_add(a, b):
+    return [gf2_15_add(x, y) for x, y in zip(a, b)]
+
+def gf2_15_poly_mul(a, b):
+    res = [0] * 33
+    for i in range(17):
+        for j in range(17):
+            res[i + j] ^= gf2_15_mul(a[i], b[j])
+    return res
+
+def gf2_15_17_mod(poly):
+    # 模 y^17 + y^3 + 1
+    for i in range(len(poly) - 1, 16, -1):
+        if poly[i]:
+            poly[i - 17] ^= poly[i]
+            poly[i - 14] ^= poly[i]
+            poly[i] = 0
+    return poly[:17]
+
+def gf2_15_17_mul(a, b):
+    return gf2_15_17_mod(gf2_15_poly_mul(a, b))
+
+def gf2_15_17_square(a):
+    return gf2_15_17_mul(a, a)
+
+def gf2_15_17_add(a, b):
+    return gf2_15_poly_add(a, b)
+
+def gf2_15_17_eq(a, b):
+    return all(x == y for x, y in zip(a, b))
+
+def is_on_curve(x, y, b):
+    y2 = gf2_15_17_square(y)
+    xy = gf2_15_17_mul(x, y)
+    lhs = gf2_15_17_add(y2, xy)
+    x2 = gf2_15_17_square(x)
+    x3 = gf2_15_17_mul(x2, x)
+    rhs = gf2_15_17_add(x3, b)
+    return gf2_15_17_eq(lhs, rhs)
+
+def to_field(arr):
+    assert len(arr) == 17
+    return arr[:]
+
+# 参数定义
+b = [0x00] * 17
+b = [161] + [0]*16  # GF((2^15)^17) 中的常数元素，等价于 b[0] = 0xA1
+
+Gx = to_field([0x38CC, 0x052F, 0x2510, 0x45AA, 0x1B89, 0x4468, 0x4882, 0x0D67,
+               0x4FEB, 0x55CE, 0x0025, 0x4CB7, 0x0CC2, 0x59DC, 0x289E, 0x65E3, 0x56FD])
+Gy = to_field([0x31A7, 0x65F2, 0x18C4, 0x3412, 0x7388, 0x54C1, 0x539B, 0x4A02,
+               0x4D07, 0x12D6, 0x7911, 0x3B5E, 0x4F0E, 0x216F, 0x2BF2, 0x1974, 0x20DA])
+
+PKx = to_field([0x3A1A, 0x1109, 0x268A, 0x12F7, 0x3734, 0x75F0, 0x576C, 0x2EA4,
+                0x4813, 0x3F62, 0x0567, 0x784D, 0x753D, 0x6D92, 0x366C, 0x1107, 0x3861])
+PKy = to_field([0x6C20, 0x6027, 0x1B22, 0x7A87, 0x43C4, 0x1908, 0x2449, 0x4675,
+                0x7933, 0x2E66, 0x32F5, 0x2A58, 0x1145, 0x74AC, 0x36D0, 0x2731, 0x12B6])
+
+# 验证
+print("验证基点 G 是否在曲线上：", is_on_curve(Gx, Gy, b))
+print("验证 PK 是否在曲线上：", is_on_curve(PKx, PKy, b))
+```

README.md

@@ -1,8 +1,18 @@
-# WinRAR-Keygen
+<p align="center">
-
+ <img width="100px" src="icon.png" align="center" alt="WinRAR Keygen" />
-[中文版 README](README.zh-CN.md)
+ <h2 align="center">WinRAR Keygen</h2>
-
+ <p align="center">Principle of WinRAR key generation</p>
-<p align='center'><img width="100px" src="icon1.png" /></p>
+</p>
+<p align="center">
+  <a href="https://github.com/bitcookies/winrar-keygen/releases"><img src="https://img.shields.io/github/v/release/bitcookies/winrar-keygen?label=version" /></a>
+  <a href="https://github.com/bitcookies/winrar-keygen/issues"><img alt="Issues" src="https://img.shields.io/github/issues/bitcookies/winrar-keygen?color=F48D73" /></a>
+  <img src="https://img.shields.io/badge/Visual%20Studio-2022-5D4298?logo=data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBzdGFuZGFsb25lPSJubyI/PjwhRE9DVFlQRSBzdmcgUFVCTElDICItLy9XM0MvL0RURCBTVkcgMS4xLy9FTiIgImh0dHA6Ly93d3cudzMub3JnL0dyYXBoaWNzL1NWRy8xLjEvRFREL3N2ZzExLmR0ZCI+PHN2ZyB0PSIxNzI4MTA5NjA3MzUyIiBjbGFzcz0iaWNvbiIgdmlld0JveD0iMCAwIDEwMjQgMTAyNCIgdmVyc2lvbj0iMS4xIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHAtaWQ9IjYxMjAiIHhtbG5zOnhsaW5rPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5L3hsaW5rIiB3aWR0aD0iMjQiIGhlaWdodD0iMjQiPjxwYXRoIGQ9Ik03MTguOTMzMzMzIDg1LjMzMzMzM0wzODcuODQgNDE2Ljg1MzMzM2wtMjA5LjA2NjY2Ny0xNjQuNjkzMzMzTDg3LjQ2NjY2NyAyOTguNjY2NjY3djQyNi42NjY2NjZsOTEuNzMzMzMzIDQ2LjUwNjY2NyAyMTAuMzQ2NjY3LTE2NC4yNjY2NjdMNzE5Ljc4NjY2NyA5MzguNjY2NjY3IDkzOC42NjY2NjcgODUwLjM0NjY2N1YxNzAuNjY2NjY3ek0xODYuNDUzMzMzIDYxMC4xMzMzMzNWNDExLjczMzMzM2wxMDQuMTA2NjY3IDEwMy42OHogbTUyNi4wOCA1NS4wNEw1MTQuMTMzMzMzIDUxMmwxOTguNC0xNTMuMTczMzMzeiIgcC1pZD0iNjEyMSIgZmlsbD0iIzk1OWRhNSI+PC9wYXRoPjwvc3ZnPg==" />
+  <a href="https://github.com/bitcookies/winrar-keygen/actions"><img src="https://github.com/bitcookies/winrar-keygen/actions/workflows/keygen.yml/badge.svg" /></a>
+  <a href="https://github.com/bitcookies/winrar-keygen/blob/master/LICENSE"><img alt="License" src="https://img.shields.io/github/license/bitcookies/winrar-keygen.svg" /></a>
+</p>
+<p align="center">
+   <a href="README.md">English</a> | <a href="README.zh-CN.md">简体中文</a>
+</p>
 
 ## 1. What is WinRAR?
 
@@ -10,7 +20,7 @@ WinRAR is a trialware file archiver utility for Windows, developed by Eugene Ros
 
 It can create and view archives in RAR or ZIP file formats and unpack numerous archive file formats. 
 
-WinRAR is not a free software. If you want to use it, you should pay to [__RARLAB__](https://rarlab.com/) and then you will get a license file named `rarreg.key`. 
+WinRAR is not a free software. If you want to use it, you should pay to [**RARLAB**](https://www.rarlab.com/) and then you will get a license file named `rarreg.key`. 
 
 This repository will tell you how WinRAR license file `"rarreg.key"` is generated. 
 
@@ -18,79 +28,397 @@ This repository will tell you how WinRAR license file `"rarreg.key"` is generate
 
 See [here](README.HOW_DOES_IT_WORK.md).
 
-## 3. How to build?
+## 3. How to use?
 
-If you don't want to compile it yourself, you can also go to the [release page](https://github.com/bitcookies/winrar-keygen/releases/) to get `winrar-keygen.exe`.
+There are several ways to use it.
 
-### 3.1 Prerequisites
++ [Use Github Actions](#4-Use-Github-Actions) 
++ [Use Github Actions with secrets](#5-Use-Github-Actions-with-secrets)
++ [Build in Visual Studio](#6-Build-in-Visual-Studio)
++ [Build in Github Actions](#7-Build-in-Github-Actions)
++ [Build with CMake](#8-Build-with-CMake)
++ [Use GUI for Windows](#9-Use-GUI-for-Windows)
 
-1. Please make sure that you have __Visual Studio 2019__ or the higher. Because this is a VS2019 project.
+### 3.1 Encoding
 
-2. Please make sure you have installed `vcpkg` and the following libraries: 
+WinRAR Keygen supports `ASCII`, `ANSI` and `UTF8NoBOM` encoding types, the corresponding supported characters are listed in the table below.
 
-   * `mpir:x86-windows-static`
+> [!NOTE]
-   * `mpir:x64-windows-static`
+> The default is `utf8`, but you can specify the encoding as `ascii` or `ansi`.
+
+| Encoding                                     | Supported Characters                                         | Character Examples                                           |
+| -------------------------------------------- | ------------------------------------------------------------ | ------------------------------------------------------------ |
+| [ascii](https://en.wikipedia.org/wiki/ASCII) | Only full ASCII characters are supported.                    | <img width="300px" src="assets/ascii-characters-light.svg#gh-light-mode-only"><img width="300px" src="assets/ascii-characters-dark.svg#gh-dark-mode-only"> |
+| ansi                                         | There is no one fixed ANSI code, usually [Windows-1252](https://en.wikipedia.org/wiki/Windows-1252), but other local codes are also possible. | <img width="300px" src="assets/windows-1252-characters-light.svg#gh-light-mode-only"><img width="300px" src="assets/windows-1252-characters-dark.svg#gh-dark-mode-only"> |
+| [utf8](https://en.wikipedia.org/wiki/UTF-8)  | Supports UTF-8 without BOM.                                  | ASCII characters, English, 简体中文, 繁體中文, Deutsch, Français, Русский, Italiano, 日本語, 한국어, Lengua española, Ελληνική γλώσσα, et al. |
+
+### 3.2 License type
+
+There are two types of WinRAR licenses, `rarreg.key` and `rarkey.rar`, which differ only in their import.
+
+|                   rarreg.key                   |                    rarkey.rar                    |
+| :--------------------------------------------: | :----------------------------------------------: |
+| <img width="100px" src="assets/file-icon.svg"> | <img width="100px" src="assets/winrar-icon.svg"> |
+|     Drag to import or place in a location      |       Double-click to run automatic import       |
+
+You can try to put the `rarreg.key` in the following directory.
+
+```shell
+%APPDATA%\WinRAR\rarreg.key
+```
+
+You can also compress `rarreg.key` into `rarkey.rar` and double-click it to run it, and the license import will take place automatically.
+
+## 4. Use Github Actions
+
+<details>
+<summary>Click to expand</summary>
+
+The new workflow can easily help you generate a license, you just need to follow these steps.
+
+> Your `<Username>` and `<License Name>` will appear in the Actions log, if you don't want to give out this information, see [5. Using Github Actions with secrets](#5-Use-Github-Actions-with-secrets).
+
+### 4.1 Fork
+
+**Fork** this repo.
+
+![Fork](assets/fork-light.png#gh-light-mode-only)
+
+![Fork](assets/fork-dark.png#gh-dark-mode-only)
+
+### 4.2 Allow fork repo to run workflows
+
+Go back to the repo you just forked and click **Actions** to allow Workflows to run in your forked repo.
+
+![Workflow](assets/enable-workflows-light.png#gh-light-mode-only)
+
+![Workflow](assets/enable-workflows-dark.png#gh-dark-mode-only)
+
+### 4.3 Run workflow
+
+After allowing the workflow, go to **Actions > WinRAR Keygen > Run workflow** and fill in the information to start generating.
+
+> For the difference of license encoding, please refer to [3.1 Encoding](#31-Encoding).
+
+![Secrets](assets/run-ketgen-light.png#gh-light-mode-only)
+
+![Secrets](assets/run-ketgen-dark.png#gh-dark-mode-only)
+
+After running successfully, open the corresponding task and select **rarreg_file** to download.
+
+> File retention 90 days.
+
+![Download](assets/file-download-light.png#gh-light-mode-only)
+
+![Download](assets/file-download-dark.png#gh-dark-mode-only)
+
+Extract rarreg_file.zip to get `rarreg.key` and drag to import into WinRAR. You can also compress `rarreg.key` into `rarkey.rar`, then double-click it to run it, and the license import will be done automatically.
+
+</details>
+
+## 5. Use Github Actions with secrets
+
+<details>
+<summary>Click to expand</summary>
+
+Using [secrets](https://docs.github.com/en/actions/security-guides/encrypted-secrets) can help you hide license information.
+
+### 5.1 Fork
+
+**Fork** this repo.
+
+![Fork](assets/fork-light.png#gh-light-mode-only)
+
+![Fork](assets/fork-dark.png#gh-dark-mode-only)
+
+### 5.2 Allow fork repo to run workflows
+
+Go back to the repo you just forked and click **Actions** to allow Workflows to run in your forked repo.
+
+![Workflow](assets/enable-workflows-light.png#gh-light-mode-only)
+
+![Workflow](assets/enable-workflows-dark.png#gh-dark-mode-only)
+
+### 5.3 Create secrets
+
+After allowing the workflow, go to **Settings > Secrets and variables > Actions > New repository secret** to create a secret.
+
+![Secrets](assets/secrets-light.png#gh-light-mode-only)
+
+![Secrets](assets/secrets-dark.png#gh-dark-mode-only)
+
+Create three secrets with the names `TEXT1`, `TEXT2` and `PWD` and fill in the relevant values.
+
+> The value filled in should be consistent with the type of code you have chosen.
+
+| Secrets Name<img width="120px"> | Explanation<img width="120px"> |
+| ------------------------------- | ------------------------------ |
+| TEXT1                           | Your Name                      |
+| TEXT2                           | Your License Name              |
+| PWD                             | 7-Zip Password                 |
+
+![Add Secrets](assets/secrets-add-light.png#gh-light-mode-only)
+
+![Add Secrets](assets/secrets-add-dark.png#gh-dark-mode-only)
+
+Once created, you will see it.
+
+![Secrets Repo](assets/secrets-repo-light.png#gh-light-mode-only)
+
+![Secrets Repo](assets/secrets-repo-dark.png#gh-dark-mode-only)
+
+### 5.4 Run workflow
+
+Go to **Actions** and select **WinRAR Keygen with secrets** to run workflow manually.
+
+For the difference of license encoding, please refer to [3.1 Encoding](#31-Encoding).
+
+![Run](assets/run-workflow-light.png#gh-light-mode-only)
+
+![Run](assets/run-workflow-dark.png#gh-dark-mode-only)
+
+After running successfully, open the corresponding task and select **rarreg_file** to download.
+
+> File retained for **1 day** only.
+
+![Download](assets/file-download-light.png#gh-light-mode-only)
+
+![Download](assets/file-download-dark.png#gh-dark-mode-only)
+
+Extract `rarreg_file.zip` to get `rarreg.7z`, unzip it with the password to get `rarreg.key`, then drag and drop to import into WinRAR. You can also compress `rarreg.key` into `rarkey.rar`, then double-click it to run it, and the license import will be done automatically.
+
+</details>
+
+## 6. Build in Visual Studio
+
+<details>
+<summary>Click to expand</summary>
+
+If you don't want to compile it yourself, you can compile it using [Actions](#7-Build-in-Github-Actions) or visit the [Release](https://github.com/bitcookies/winrar-keygen/releases/) to download the corresponding version.
+
+### 6.1 Prerequisites
+
+1. Please make sure that you have **Visual Studio 2022**. Because this is a VS2022 project. If you are still using Visual Studio 2019, you can find projects for VS2019 in the [vs2019](https://github.com/bitcookies/winrar-keygen/tree/vs2019) branch, but this branch will no longer be maintained.
+
+2. Please make sure you have installed `vcpkg` and the following libraries:
+
+   + `mpir:x86-windows-static`
+   + `mpir:x64-windows-static`
+   + `gmp:x64-windows`
+   + `gmp:arm64-windows-static`
 
    is installed.
 
    You can install them by:
 
-   ```console
+   ```shell
    $ vcpkg install mpir:x86-windows-static
    $ vcpkg install mpir:x64-windows-static
+   $ vcpkg install gmp:x64-windows
+   $ vcpkg install gmp:arm64-windows-static
    ```
 
-3. Your `vcpkg` has been integrated into your __Visual Studio__, which means you have run 
+3. Your `vcpkg` has been integrated into your **Visual Studio**, which means you have run successfully.
 
-   ```console
+   ```shell
    $ vcpkg integrate install
    ```
-   
-   successfully.
 
-### 3.2 Build
+### 6.2 Build
 
-1. Open this project in __Visual Studio__.
+1. Open this project in **Visual Studio**.
-
+2. Select **Release** configuration.
-2. Select `Release` configuration.
+3. Select **Build > Build Solution**.
-
-3. Select __Build > Build Solution__.
 
 You will see executable files in `bin/` directory. 
 
-## 4. How to Use?
+### 6.3 How to use?
 
 Execute the following code in the terminal and configure two parameters to generate `rarreg.key`.
 
-Here is an example use `Github` and `Github.com`:
+```shell
-
-```
 Usage:
-        winrar-keygen.exe <your name> <license type>
+  winrar-keygen.exe <Username> <LicenseName> [options]
+  winrar-keygen.exe -v | --version
+  winrar-keygen.exe -h | --help
 
-Example:
+Options:
-
+  -e, --encoding <enc>   utf8 (default), ascii, ansi
-        winrar-keygen.exe "Github" "Github.com"
+  -o, --output <file>    Output file (default: rarreg.key)
-  or:
+  -a, --activate         Write to %APPDATA%\WinRAR\rarreg.key
-        winrar-keygen.exe "Github" "Github.com" > rarreg.key
+  -t, --text             Print to console only, don't write file
+  -u, --update           Check for updates on GitHub
+  -v, --version          Show version
+  -h, --help             Show this help
 ```
 
-![Terminal](terminal.png)
+#### Options
 
-Now you can see the newly generated file. 
+| Flag                   | Description                              |
+| :--------------------- | :--------------------------------------- |
+| `-e, --encoding <enc>` | `utf8` (default), `ascii`, `ansi`        |
+| `-o, --output <file>`  | Output file path (default: `rarreg.key`) |
+| `-a, --activate`       | Write to `%APPDATA%\WinRAR\rarreg.key`   |
+| `-t, --text`           | Print to console only, don't write file  |
+| `-u, --update`         | Check for updates on GitHub              |
+| `-v, --version`        | Show version                             |
+| `-h, --help`           | Show help                                |
+
+Here is an example of ASCII encoding for `Github` and `Single PC usage license`.
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -t -e ascii
+```
+
+Now you can see the newly generated file.
 
 ```console
 RAR registration data
 Github
-Github.com
+Single PC usage license
 UID=3a3d02329a32b63da7d8
 6412212250a7d8753c5e7037d83011171578c57042fa30c506caae
-9954e4853d415ec594e46076cc9a65338309b66c50453ba72158c0
+9954e4853d415ec594e46017cb3db740bc4b32e47aea25db62f350
-656de97acb2f2a48cf3b75329283544c3e1b366a5062b85d0022f6
+9f22065a27da4f8216d2938e1050b6e3347501a3767d1fdd7ee130
-de3cdc56b311475b484e80b48157a0c3af60ca4f7f9c75d49bc50d
+dd4ab952600ba16a99236d910bfa995d5f60651ec451f462511507
-6bad616c1c58caa922d3ed0cd19771e8191522a586544c3e1b366a
+95b3722d059f2d5303a231e396cf21f17098edeec0b6e3347501a3
-5062b85d29db066f02e777ad78100865f2c31f2dd3a86998609b18
+767d1fdd7ee45388769767642338ee8a63178f3458b71de5609b18
-5eede7ed46566b10bf033daa6384062b259194b1acbd1443042646
+5eede7ed46566b10bf033daa6384062b259194b1acbd0378116064
 ```
 
-Save the generated information as `rarreg.key`.
+### 6.4 More examples
+
+Generate a UTF-8 encoded license and activate WinRAR directly.
+
+> The UTF-8 encoded license will automatically determine whether to add the `utf8:` prefix based on the characters.
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -a
+```
+
+Generate an ANSI-encoded license and generate a license file.
+
+> ANSI encoding is region-dependent on Windows. While characters in the current region may display correctly, garbled characters may still occur.
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -e ansi
+```
+
+Generate an ASCII-encoded license and output it only to the console.
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -t -e asci
+```
+
+</details>
+
+## 7. Build in Github Actions
+
+<details>
+<summary>Click to expand</summary>
+
+In Actions, you can build applications for six architectures: Linux x64, Linux ARM64, macOS ARM64, Windows x64, Windows Win32, and Windows ARM64.
+
+Click the **Fork** button in the upper-right corner of the project to fork the code to your GitHub. Then locate the forked repository, go to the Actions page, and run **"Build All Platforms" (build.yml)**.
+
+> Building on Windows takes about 25 minutes; we recommend building locally for faster results.
+
+![Build](assets/build-workflow-light.png#gh-light-mode-only)
+
+![Build](assets/build-workflow-dark.png#gh-dark-mode-only)
+
+Once the workflow has run successfully, you can download it from Artifacts.
+
+</details>
+
+## 8. Build with CMake
+
+<details>
+<summary>Click to expand</summary>
+
+For Linux or macOS users, you can [build in Github Actions](#7-Build-in-Github-Actions), but you can also compile it yourself.
+
+### 8.1 Linux (Ubuntu/Debian)
+
+```shell
+# Install dependencies
+sudo apt-get update
+sudo apt-get install -y build-essential cmake libgmp-dev
+
+# Compile
+mkdir build && cd build
+cmake .. -DCMAKE_BUILD_TYPE=Release
+cmake --build . --config Release
+
+# Build artifacts
+./winrar-keygen --help
+```
+
+### 8.2 macOS (Homebrew)
+
+```shell
+# Install dependencies
+brew install cmake gmp
+
+# Compile
+mkdir build && cd build
+cmake .. -DCMAKE_BUILD_TYPE=Release
+cmake --build . --config Release
+
+# Build artifacts
+./winrar-keygen --help
+```
+
+The output is always `build/winrar-keygen`, and the version number is controlled by `APP_VERSION` in `CMakeLists.txt`.
+
+</details>
+
+## 9. Use GUI for Windows
+
+<details>
+<summary>Click to expand</summary>
+
+If you are using Windows 10 or 11, you can use the GUI application, which is built using .NET 8 WPF and Fluent Design (WPF UI) and supports both `x64` and `ARM 64` architectures.
+
+You can check out the project from the [gui](https://github.com/bitcookies/winrar-keygen/tree/gui) branch and build the GUI application yourself, or visit the [Release](https://github.com/bitcookies/winrar-keygen/releases/) page to download the pre-built version.
+
+For more detailed information, please refer to the [README](https://github.com/bitcookies/winrar-keygen/blob/gui/README.md) in that branch.
+
+![GUI](assets/gui-light.png#gh-light-mode-only)
+
+![GUI](assets/gui-dark.png#gh-dark-mode-only)
+
+</details>
+
+
+## 10. Common Errors
+
+### 10.1 Keygen Errors
+
+Starting with `ver4`, Keygen has added some common error messages. Please make corrections based on the output.
+
+ Use `-h` or `--help` to view the help information:
+
+```shell
+./winrar-keygen.exe -h
+```
+
+### 10.2 Github Actions Errors
+
+If you encounter an error while using `ascii` encoding, it is because you are using non-ASCII characters.
+
+If you encounter an error while using `ansi` encoding, it is because the character encoding is not supported by the current Windows system. The system platform for GitHub Actions is `windows-2022-english` (ANSI code page 1252), and any non-ASCII characters will cause the process to fail.
+
+## 11. Contributing
+
+### 11.1 Suggestion
+
+If you encounter any issues or have suggestions, feel free to open an issue on the [Issues](https://github.com/bitcookies/winrar-keygen/issues) page or submit a pull request. We and the community will be happy to help.
+
+### 11.2 Thanks
+
+Thanks to all contributors to this project, and to the community members who help answer questions in the [Issues](https://github.com/bitcookies/winrar-keygen/issues).
+
+## 12. License
+
+The code is available under the [MIT license](https://github.com/bitcookies/winrar-keygen/blob/master/LICENSE)

README.zh-CN.md

@@ -1,90 +1,469 @@
-# WinRAR-Keygen
+<p align="center">
-
+ <img width="100px" src="icon.png" align="center" alt="WinRAR Keygen" />
-[README for English](README.md)
+ <h2 align="center">WinRAR Keygen</h2>
-
+ <p align="center">Principle of WinRAR key generation</p>
-<p align='center'><img width="100px" src="icon1.png" /></p>
+</p>
+<p align="center">
+  <a href="https://github.com/bitcookies/winrar-keygen/releases"><img src="https://img.shields.io/github/v/release/bitcookies/winrar-keygen?label=version" /></a>
+  <a href="https://github.com/bitcookies/winrar-keygen/issues"><img alt="Issues" src="https://img.shields.io/github/issues/bitcookies/winrar-keygen?color=F48D73" /></a>
+  <img src="https://img.shields.io/badge/Visual%20Studio-2022-5D4298?logo=data:image/svg+xml;base64,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" />
+  <a href="https://github.com/bitcookies/winrar-keygen/actions"><img src="https://github.com/bitcookies/winrar-keygen/actions/workflows/keygen.yml/badge.svg" /></a>
+  <a href="https://github.com/bitcookies/winrar-keygen/blob/master/LICENSE"><img alt="License" src="https://img.shields.io/github/license/bitcookies/winrar-keygen.svg" /></a>
+</p>
+<p align="center">
+  <a href="README.md">English</a> | <a href="README.zh-CN.md">简体中文</a>
+</p>
 
 ## 1. WinRAR是什么？
 
-WinRAR是一款用于管理压缩包文件的共享软件。其算法由作者尤金·罗谢尔研发，享有原创专利。
+WinRAR 是一款用于管理压缩包文件的共享软件。其算法由作者尤金·罗谢尔研发，享有原创专利。
 
-它可以用来创建或浏览RAR、ZIP等众多格式的压缩包。
+它可以用来创建或浏览 RAR、ZIP 等众多格式的压缩包。
 
-WinRAR不是免费的软件。如果你想使用它，你应当向 [__RARLAB__](https://rarlab.com/) 付费，然后获得一个授权文件 `rarreg.key`。
+WinRAR 不是免费软件。如果你想使用它，你应当向 [**RARLAB**](https://www.rarlab.com/) 付费，然后获得一个授权文件 `rarreg.key`。
 
-这份repo将会告诉你 `rarreg.key` 是如何生成的。
+这份 repo 将会告诉你 `"rarreg.key"` 是如何生成的。
 
 ## 2. "rarreg.key"是如何生成的？
 
 见 [这里](README.HOW_DOES_IT_WORK.zh-CN.md)。
 
-## 3. 如何编译？
+## 3. 使用方法
 
-如果你不想自己编译，也可以到 [Release](https://github.com/bitcookies/winrar-keygen/releases/) 页面获取 `winrar-keygen.exe`。
+有多种方法可供选择：
 
-### 3.1 前提条件
++ [使用 Github Actions](#4-使用-Github-Actions)
++ [使用 Github Actions with secrets](#5-使用-Github-Actions-with-secrets)
++ [通过 Visual Studio 编译使用](#6-通过-Visual-Studio-编译使用)
++ [通过 Github Action 编译使用](#7-通过-Github-Actions-编译使用)
++ [通过 Cmake 编译使用](#8-通过-Cmake-编译使用)
++ [使用 Windows GUI](#9-使用-Windows-GUI)
 
-1. 请确保你有 __Visual Studio 2019__ 或其更高版本。因为这是一个VS2019项目。
+### 3.1 编码说明
+
+WinRAR Keygen 支持 `ASCII`、`ANSI` 和 `UTF8NoBOM` 三种编码类型，对应支持的字符如下表：
+
+> [!NOTE]
+> 默认使用 `utf8`，但是你也可以指定编码为 `ascii` 或 `ansi`。
+
+| 编码                                         | 支持的字符                                                   | 字符示例                                                     |
+| -------------------------------------------- | ------------------------------------------------------------ | ------------------------------------------------------------ |
+| [ascii](https://en.wikipedia.org/wiki/ASCII) | 仅支持 ASCII 编码字符                                        | <img width="300px" src="assets/ascii-characters-light.svg#gh-light-mode-only"><img width="300px" src="assets/ascii-characters-dark.svg#gh-dark-mode-only"> |
+| ansi                                         | 没有一种固定的 ANSI 编码，通常是 [Windows-1252](http://en.wikipedia.org/wiki/Windows-1252)，但也可以是其他本地 | <img width="300px" src="assets/windows-1252-characters-light.svg#gh-light-mode-only"><img width="300px" src="assets/windows-1252-characters-dark.svg#gh-dark-mode-only"> |
+| [utf8](https://en.wikipedia.org/wiki/UTF-8)  | 支持无 BOM 的 UTF-8                                          | ASCII characters, English, 简体中文, 繁體中文, Deutsch, Français, Русский, Italiano, 日本語, 한국어, Lengua española, Ελληνική γλώσσα 等。 |
+
+### 3.2 License 类型
+
+WinRAR license 有 `rarreg.key` 和 `rarkey.rar` 两种类型，它们仅在导入上有区别：
+
+| <img width="60px">rarreg.key<img width="60px"> |  <img width="60px">rarkey.rar<img width="60px">  |
+| :--------------------------------------------: | :----------------------------------------------: |
+| <img width="100px" src="assets/file-icon.svg"> | <img width="100px" src="assets/winrar-icon.svg"> |
+|             拖动导入或放于指定位置             |                 双击运行自动导入                 |
+
+你可以把 `rarreg.key` 放置于以下目录中：
+
+```shell
+%APPDATA%\WinRAR\rarreg.key
+```
+
+你也可以将 `rarreg.key` 压缩成 `rarkey.rar` 然后双击运行，授权导入将会自动进行。
+
+## 4. 使用 Github Actions
+
+<details>
+<summary>点击展开</summary>
+
+新的 workflow 能很方便的帮助你生成 license，你只需跟随以下步骤即可：
+
+> 你的 `<Username>` 和 `<License Name>` 会出现在 Actions 的日志中，如果你不想泄露这些信息，请参考 [5. 使用 Github Actions with secrets](#5-使用-Github-Actions-with-secrets)。
+
+### 4.1 Fork
+
+点击该项目右上角的 **Fork** 按钮，fork 一份代码到你的 Github：
+
+![Fork](assets/fork-light.png#gh-light-mode-only)
+
+![Fork](assets/fork-dark.png#gh-dark-mode-only)
+
+### 4.2 允许 fork 仓库运行 workflows
+
+返回到你刚刚 fork 完成的 repo，然后点击 **Actions** 去允许 workflows 在你的 fork repo 中运行：
+
+![Workflow](assets/enable-workflows-light.png#gh-light-mode-only)
+
+![Workflow](assets/enable-workflows-dark.png#gh-dark-mode-only)
+
+### 4.3 运行 workflow
+
+允许 workflow 后，选择 **WinRAR Keygen > Run workflow** 并填入信息就可以开始生成了：
+
+> License 编码的区别请参考 [3.1 编码说明](#31-编码说明)。
+
+![Secrets](assets/run-ketgen-light.png#gh-light-mode-only)
+
+![Secrets](assets/run-ketgen-dark.png#gh-dark-mode-only)
+
+运行成功之后，打开对应的任务，选择 **rarreg_file** 下载：
+
+> 文件保留 90 天，超出时间后会自动销毁。
+
+![Download](assets/file-download-light.png#gh-light-mode-only)
+
+![Download](assets/file-download-dark.png#gh-dark-mode-only)
+
+将 `rarreg_file.zip` 解压缩后会得到 `rarreg.key`，然后拖动导入 WinRAR 即可。你也可以将 `rarreg.key` 压缩成 `rarkey.rar`，然后双击运行，授权导入将会自动进行。
+
+</details>
+
+## 5. 使用 Github Actions with secrets
+
+<details>
+<summary>点击展开</summary>
+
+使用 [secrets](https://docs.github.com/en/actions/security-guides/encrypted-secrets) 可以帮助你隐藏 license 信息。
+
+### 5.1 Fork
+
+点击该项目右上角的 **Fork** 按钮，fork 一份代码到你的 Github：
+
+![Fork](assets/fork-light.png#gh-light-mode-only)
+
+![Fork](assets/fork-dark.png#gh-dark-mode-only)
+
+### 5.2 允许 fork 仓库运行 workflows
+
+返回到你刚刚 fork 完成的 repo，然后点击 **Actions** 去允许 workflows 在你的 fork repo 中运行：
+
+![Workflow](assets/enable-workflows-light.png#gh-light-mode-only)
+
+![Workflow](assets/enable-workflows-dark.png#gh-dark-mode-only)
+
+### 5.3 创建 secrets
+
+允许 workflows 后，进入 **Settings > Secrets and variables > Actions > New repository secret** 创建 secrets：
+
+![Secrets](assets/secrets-light.png#gh-light-mode-only)
+
+![Secrets](assets/secrets-dark.png#gh-dark-mode-only)
+
+创建三个 secrets，名称为 `TEXT1` 、 `TEXT2` 和 `PWD`，并填入相关值：
+
+> 填入的值应与你选择的编码类型保持一致。
+
+| Secrets Name<img width="120px"> | Explanation<img width="120px"> |
+| ------------------------------- | ------------------------------ |
+| TEXT1                           | 用户名                         |
+| TEXT2                           | 许可名                         |
+| PWD                             | 压缩包密码                     |
+
+![Add Secrets](assets/secrets-add-light.png#gh-light-mode-only)
+
+![Add Secrets](assets/secrets-add-dark.png#gh-dark-mode-only)
+
+创建完成后，你将会看到：
+
+![Secrets Repo](assets/secrets-repo-light.png#gh-light-mode-only)
+
+![Secrets Repo](assets/secrets-repo-dark.png#gh-dark-mode-only)
+
+### 5.4 运行 workflow
+
+进入 **Actions** 选择 **WinRAR Keygen with secrets  >  Run workflow** 并填入信息：
+
+> License 编码的区别请参考 [3.1 编码说明](#31-编码说明)。
+
+![Run](assets/run-workflow-light.png#gh-light-mode-only)
+
+![Run](assets/run-workflow-dark.png#gh-dark-mode-only)
+
+运行成功之后，打开对应的任务，选择 **rarreg_file** 下载：
+
+> 文件仅保留 **1 天**，请及时下载。
+
+![Download](assets/file-download-light.png#gh-light-mode-only)
+
+![Download](assets/file-download-dark.png#gh-dark-mode-only)
+
+将 `rarreg_file.zip` 解压缩后会得到 `rarreg.7z`，使用你设置的密码进行解压缩获得 `rarreg.key`，然后拖动导入 WinRAR 即可。你也可以将 `rarreg.key` 压缩成 `rarkey.rar`，然后双击运行，授权导入将会自动进行。
+
+</details>
+
+## 6. 通过 Visual Studio 编译使用
+
+<details>
+<summary>点击展开</summary>
+
+如果你不想自行编译，可以到在 [Actions](#7-通过-Github-Actions-编译使用) 中编译，也可以到 [Release](https://github.com/bitcookies/winrar-keygen/releases/) 页面获取对应版本的构建程序。
+
+### 6.1 前提条件
+
+1. 请确保你有 **Visual Studio 2022**，因为这是一个 VS2022 项目。如果你仍在使用 Visual Studio 2019，可以在 [vs2019](https://github.com/bitcookies/winrar-keygen/tree/vs2019) 分支中找到适合 VS2019 的项目，但是此分支将不再维护。
 
 2. 请确保你安装了 `vcpkg` 以及下面几个库：
 
-   * `mpir:x86-windows-static`
+   + `mpir:x86-windows-static`
-   * `mpir:x64-windows-static`
+   + `mpir:x64-windows-static`
+   + `mpir:gmp:x64-windows`
+   + `gmp:arm64-windows-static`
 
    你可以通过下的命令来安装：
 
-   ```console
+   ```shell
    $ vcpkg install mpir:x86-windows-static
    $ vcpkg install mpir:x64-windows-static
+   $ vcpkg install gmp:x64-windows
+   $ vcpkg install gmp:arm64-windows-static
    ```
 
-3. 你的 `vcpkg` 与 __Visual Studio__ 整合了，即你曾成功运行了下面这条命令：
+3. 你的 `vcpkg` 与 **Visual Studio** 整合了，即你曾成功运行了下面这条命令：
 
-   ```console
+   ```shell
    $ vcpkg integrate install
    ```
 
-### 3.2 编译
+### 6.2 编译
 
-1. 在 __Visual Studio__ 中打开这个项目。
+1. 在 **Visual Studio** 中打开这个项目；
+2. 选择 **Release** 配置；
+3. 选择 **生成 > 生成解决方案**。
 
-2. 选择 `Release` 配置。
+你将在 `bin/` 目录下看到生成的文件。
 
-3. 选择 __生成 > 生成解决方案__。
+### 6.3 如何使用？
-
-## 4. 如何使用？
 
 直接在终端执行以下代码，配置两个参数即可生成 `rarreg.key`。
 
-这里以 `Github` 和 `Github.com` 为例：
+```shell
-
-```
 Usage:
-        winrar-keygen.exe <your name> <license type>
+  winrar-keygen.exe <Username> <LicenseName> [options]
+  winrar-keygen.exe -v | --version
+  winrar-keygen.exe -h | --help
 
-Example:
+Options:
-
+  -e, --encoding <enc>   utf8 (default), ascii, ansi
-        winrar-keygen.exe "Github" "Github.com"
+  -o, --output <file>    Output file (default: rarreg.key)
-  or:
+  -a, --activate         Write to %APPDATA%\WinRAR\rarreg.key
-        winrar-keygen.exe "Github" "Github.com" > rarreg.key
+  -t, --text             Print to console only, don't write file
+  -u, --update           Check for updates on GitHub
+  -v, --version          Show version
+  -h, --help             Show this help
 ```
 
-![Terminal](terminal.png)
+#### 参数选项
+
+| 参数                   | 描述                                    |
+| :--------------------- | :-------------------------------------- |
+| `-e, --encoding <enc>` | `utf8` (默认), `ascii`, `ansi`          |
+| `-o, --output <file>`  | Output file path (默认: `rarreg.key`)   |
+| `-a, --activate`       | Write to `%APPDATA%\WinRAR\rarreg.key`  |
+| `-t, --text`           | Print to console only, don't write file |
+| `-u, --update`         | Check for updates on GitHub             |
+| `-v, --version`        | Show version                            |
+| `-h, --help`           | Show help                               |
+
+这里以 `Github` 和 `Single PC usage license` 参数和 ASCII 编码为例：
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -t -e ascii
+```
 
 现在你可以看到新生成的文件：
 
 ```console
 RAR registration data
 Github
-Github.com
+Single PC usage license
 UID=3a3d02329a32b63da7d8
 6412212250a7d8753c5e7037d83011171578c57042fa30c506caae
-9954e4853d415ec594e46076cc9a65338309b66c50453ba72158c0
+9954e4853d415ec594e46017cb3db740bc4b32e47aea25db62f350
-656de97acb2f2a48cf3b75329283544c3e1b366a5062b85d0022f6
+9f22065a27da4f8216d2938e1050b6e3347501a3767d1fdd7ee130
-de3cdc56b311475b484e80b48157a0c3af60ca4f7f9c75d49bc50d
+dd4ab952600ba16a99236d910bfa995d5f60651ec451f462511507
-6bad616c1c58caa922d3ed0cd19771e8191522a586544c3e1b366a
+95b3722d059f2d5303a231e396cf21f17098edeec0b6e3347501a3
-5062b85d29db066f02e777ad78100865f2c31f2dd3a86998609b18
+767d1fdd7ee45388769767642338ee8a63178f3458b71de5609b18
-5eede7ed46566b10bf033daa6384062b259194b1acbd1443042646
+5eede7ed46566b10bf033daa6384062b259194b1acbd0378116064
 ```
 
-将生成的信息以文本格式保存为 `rarreg.key ` ，拖动即可导入WinRAR。
+### 6.4 更多示例
+
+生成 UTF-8 编码的 license 并直接激活 WinRAR：
+
+> UTF-8 编码的 license 将会根据字符自动决定是否添加 `utf8:` 前缀
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -a
+```
+
+生成 ANSI 编码的 license 并生成 license 文件：
+
+> ANSI 编码与 Windows 的地区有关，一般当前地区的字符能够正常展示，也会遇到字符乱码问题
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -e ansi
+```
+
+生成 ASCII 编码的 license 并只在控制台输出：
+
+```shell
+./winrar-keygen.exe "Github" "Single PC usage license" -t -e asci
+```
+
+</details>
+
+## 7. 通过 Github Actions 编译使用
+
+<details>
+<summary>点击展开</summary>
+
+你可以在 Actions 中构建 Linux x64、Linux ARM64、macOS ARM64、Windows x64、Windows Win32 和   Windows ARM64 六种架构的应用程序。
+
+点击该项目右上角的 **Fork** 按钮，fork 一份代码到你的 Github。然后找到你 fork 的仓库，进入 Actions 页面并手动执行 **Build All Platforms (build.yml)**。
+
+> Windows 的构建耗时在 25 分钟左右，建议本地构建速度更快。
+
+![Build](assets/build-workflow-light.png#gh-light-mode-only)
+
+![Build](assets/build-workflow-dark.png#gh-dark-mode-only)
+
+运行成功之后，可在 Artifacts 下载。
+
+</details>
+
+## 8. 通过 Cmake 编译使用
+
+<details>
+<summary>Click to expand</summary>
+
+对于 Linux 或 macOS 用户，你可以[通过 Github Actions 编译使用](#7-通过-Github-Actions-编译使用)，但也可以自行编译。
+
+### 8.1 Linux (Ubuntu/Debian)
+
+```shell
+# 安装依赖
+sudo apt-get update
+sudo apt-get install -y build-essential cmake libgmp-dev
+
+# 编译
+mkdir build && cd build
+cmake .. -DCMAKE_BUILD_TYPE=Release
+cmake --build . --config Release
+
+# 产物
+./winrar-keygen --help
+```
+
+### 8.2 macOS (Homebrew)
+
+```shell
+# 安装依赖
+brew install cmake gmp
+
+# 编译
+mkdir build && cd build
+cmake .. -DCMAKE_BUILD_TYPE=Release
+cmake --build . --config Release
+
+# 产物
+./winrar-keygen --help
+```
+
+文件生成在 `build/winrar-keygen`，版本号由 `CMakeLists.txt` 中的 `APP_VERSION` 控制。
+
+</details>
+
+## 9. 使用 Windows GUI
+
+<details>
+<summary>Click to expand</summary>
+
+如果你正在使用 Windows 10 / 11，你可以使用 GUI 程序，它基于 .NET 8 WPF 和 Fluent Design (WPF UI) 构建，提供 `x64` 和 `ARM 64` 两种架构支持。
+
+你可以在 [gui](https://github.com/bitcookies/winrar-keygen/tree/gui) 分支中获取项目，并自行构建 GUI 程序，也可以到 [Release](https://github.com/bitcookies/winrar-keygen/releases/) 页面获取对应版本的构建程序。
+
+更详细的信息请查看分支 [README](https://github.com/bitcookies/winrar-keygen/blob/gui/README.zh-CN.md)。
+
+![GUI](assets/gui-light.png#gh-light-mode-only)
+
+![GUI](assets/gui-dark.png#gh-dark-mode-only)
+
+</details>
+
+
+## 10. 常见错误
+
+### 10.1 Keygen 错误
+
+从 `ver4` 版本开始，Keygen 增加了一些常见的 Error 提示信息，请根据输出信息来进行修正。
+
+使用 `-h` 或 `--help` 来查看帮助信息：
+
+```shell
+./winrar-keygen.exe -h
+```
+
+### 10.2 Github Actions 错误
+
+如果你使用 `ascii` 编码时发生了错误，原因是你使用了非 ASCII 字符。
+
+如果你 `ansi` 编码时发生了错误，原因是因为字符编码不受当前 Windows 系统支持。GitHub Actions 的系统平台是 `windows-2022-english` （ANSI code page 1252），包含非 ASCII 字符都会失败。
+
+### 10.3 关于简体中文版
+
+在 [**RARLAB**](https://www.rarlab.com/) 下载的简体中文版 WinRAR 将会自带广告组件，即使使用了 `rarreg.key` 授权，广告组件依旧会出现。这是由于简体中文代理商的一些意见，RARLAB 已将简体中文安装包的公开链接更换成了带有广告的简体中文安装包。
+
+感谢 [@hoochanlon](https://github.com/hoochanlon) 提供的一些方法。可以使用 [win-rar-extractor](https://github.com/lvtx/WinRAR-Extractor) 获取简体中文商业版的下载连接；也可以根据商业版的地址规律，获取相应版本的简体中文安装包：
+
+简体中文 **「商业版」** 下载地址：
+
+```
+# 7.13
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20250804/rrlb/winrar-x64-713sc.exe
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20250804/wrr/winrar-x64-713sc.exe
+
+# 7.12
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20250627/rrlb/winrar-x64-712sc.exe
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20250627/wrr/winrar-x64-712sc.exe
+
+# 7.11 （注意该版本的日期格式变更为了 YYYYDDMM）
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20253103/rrlb/winrar-x64-711sc.exe
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20253103/wrr/winrar-x64-711sc.exe
+
+# 7.10 （注意该版本的日期格式变更为了 YYYYDDMM）
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20251003/rrlb/winrar-x64-710sc.exe
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20251003/wrr/winrar-x64-710sc.exe
+
+# 6.24
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20231013/wrr/winrar-x32-624sc.exe
+https://www.win-rar.com/fileadmin/winrar-versions/sc/sc20231013/wrr/winrar-x64-624sc.exe
+
+```
+
+简体中文 **「广告版」** （以 `6.24` 版本为例），不要下载此类版本：
+
+```
+# 其链接特点是「不包含」日期信息
+
+win-rar 渠道：
+https://www.win-rar.com/fileadmin/winrar-versions/winrar/winrar-x32-624sc.exe
+https://www.win-rar.com/fileadmin/winrar-versions/winrar/winrar-x64-624sc.exe
+
+rarlab 渠道：
+https://www.rarlab.com/rar/winrar-x32-624sc.exe
+https://www.rarlab.com/rar/winrar-x64-624sc.exe
+```
+
+请注意区分上述连接地址，更多方法可以查看 [Issues #14](https://github.com/bitcookies/winrar-keygen/issues/14) 和 [Issues #19](https://github.com/bitcookies/winrar-keygen/issues/19)。
+
+## 11. 贡献
+
+### 11.1 反馈和建议
+
+如果您在使用过程中遇到问题或有任何建议，欢迎在 [Issues](https://github.com/bitcookies/winrar-keygen/issues) 页面反馈，或提交 Pull Request。我们以及社区中的开发者将乐于为您提供帮助。
+
+### 11.2 感谢
+
+感谢所有为本项目做出贡献的开发者，以及在 [Issues](https://github.com/bitcookies/winrar-keygen/issues) 中热心解答问题的社区成员。
+
+## 12. 许可
+
+使用 [MIT License](https://github.com/bitcookies/winrar-keygen/blob/master/LICENSE)

WinRarConfig.hpp

@@ -483,4 +483,3 @@ public:
         }
     );
 };
-

WinRarKeygen.hpp

@@ -9,6 +9,12 @@
 #include <string>
 #include <utility>
 
+#ifdef _MSC_VER
+#define BSWAP32(x) _byteswap_ulong(x)
+#else
+#define BSWAP32(x) __builtin_bswap32(x)
+#endif
+
 template<typename __ConfigType>
 class WinRarKeygen {
 public:
@@ -40,7 +46,7 @@ private:
             Sha1Digest = Sha1.Evaluate();
 
             for (unsigned i = 0; i < 5; ++i) {
-                Generator[i + 1] = _byteswap_ulong(reinterpret_cast<uint32_t*>(Sha1Digest.Bytes)[i]);
+                Generator[i + 1] = BSWAP32(reinterpret_cast<uint32_t*>(Sha1Digest.Bytes)[i]);
             }
         } else {
             Generator[1] = 0xeb3eb781;
@@ -59,7 +65,7 @@ private:
             Sha1Digest = Sha1.Evaluate();
 
             RawPrivateKey[i] = static_cast<uint16_t>(
-                _byteswap_ulong(reinterpret_cast<uint32_t*>(Sha1Digest.Bytes)[0])
+                BSWAP32(reinterpret_cast<uint32_t*>(Sha1Digest.Bytes)[0])
             );
         }
 
@@ -94,7 +100,11 @@ private:
     static BigInteger GenerateRandomInteger() {
         uint16_t RawRandomInteger[15];
 
-        srand(static_cast<unsigned int>(time(nullptr)));
+        static bool seeded = false;
+        if (!seeded) {
+            srand(static_cast<unsigned int>(time(nullptr)));
+            seeded = true;
+        }
         for (size_t i = 0; i < 15; ++i) {
             RawRandomInteger[i] = static_cast<uint16_t>(rand());
         }
@@ -108,7 +118,7 @@ private:
         HasherSha1Traits::DigestType Sha1Digest = Sha1.Evaluate();
 
         for (size_t i = 0; i < 5; ++i) {
-            RawHash[i] = _byteswap_ulong(reinterpret_cast<uint32_t*>(Sha1Digest.Bytes)[i]);
+            RawHash[i] = BSWAP32(reinterpret_cast<uint32_t*>(Sha1Digest.Bytes)[i]);
         }
 
         // SHA1("") with all-zeroed initial value
@@ -193,19 +203,32 @@ public:
             auto LicenseTypeSignature = Sign(RegInfo.LicenseType.c_str(), RegInfo.LicenseType.length());
             auto LicenseTypeSignatureR = LicenseTypeSignature.r.ToString(16, true);
             auto LicenseTypeSignatureS = LicenseTypeSignature.s.ToString(16, true);
-            if (LicenseTypeSignatureR.length() <= 60 && LicenseTypeSignatureS.length() <= 60) {
+            if (LicenseTypeSignatureR.length() < 60) {
-                RegInfo.Items[1] = HelperStringFormat("60%060s%060s", LicenseTypeSignatureS.c_str(), LicenseTypeSignatureR.c_str());
+                LicenseTypeSignatureR.insert(LicenseTypeSignatureR.begin(), 60 - LicenseTypeSignatureR.size(), '0');
+            }
+            if (LicenseTypeSignatureS.length() < 60) {
+                LicenseTypeSignatureS.insert(LicenseTypeSignatureS.begin(), 60 - LicenseTypeSignatureS.size(), '0');
+            }
+            if (LicenseTypeSignatureR.length() == 60 && LicenseTypeSignatureS.length() == 60) {
+                RegInfo.Items[1] = HelperStringFormat("60%s%s", LicenseTypeSignatureS.c_str(), LicenseTypeSignatureR.c_str());
                 break;
             }
         }
 
         temp = RegInfo.UserName + RegInfo.Items[0];
+
         while (true) {
             auto UserNameSignature = Sign(temp.c_str(), temp.length());
             auto UserNameSignatureR = UserNameSignature.r.ToString(16, true);
             auto UserNameSignatureS = UserNameSignature.s.ToString(16, true);
-            if (UserNameSignatureR.length() <= 60 || UserNameSignatureS.length() <= 60) {
+            if (UserNameSignatureR.length() < 60) {
-                RegInfo.Items[2] = HelperStringFormat("60%060s%060s", UserNameSignatureS.c_str(), UserNameSignatureR.c_str());
+                UserNameSignatureR.insert(UserNameSignatureR.begin(), 60 - UserNameSignatureR.size(), '0');
+            }
+            if (UserNameSignatureS.length() < 60) {
+                UserNameSignatureS.insert(UserNameSignatureS.begin(), 60 - UserNameSignatureS.size(), '0');
+            }
+            if (UserNameSignatureR.length() == 60 && UserNameSignatureS.length() == 60) {
+                RegInfo.Items[2] = HelperStringFormat("60%s%s", UserNameSignatureS.c_str(), UserNameSignatureR.c_str());
                 break;
             }
         }
@@ -213,7 +236,7 @@ public:
         CalculateChecksum(RegInfo);
 
         RegInfo.HexData = HelperStringFormat(
-            "%zd%zd%zd%zd%s%s%s%s%010lu",
+            "%zu%zu%zu%zu%s%s%s%s%010lu",
             RegInfo.Items[0].length(),
             RegInfo.Items[1].length(),
             RegInfo.Items[2].length(),
@@ -224,6 +247,9 @@ public:
             RegInfo.Items[3].c_str(),
             RegInfo.Checksum
         );
+
+        // The length has been limited to 60 (issues #6)
+        // This problem has been fixed, this prompt should no longer appear
         if (RegInfo.HexData.length() % 54 != 0) {
             throw std::runtime_error("InternalError: The length of register data is not correct.");
         }

_tmain.cpp

@@ -1,74 +1,820 @@
-#include <tchar.h>
+#ifdef _WIN32
-#include <stdio.h>
 #include <windows.h>
+#include <winhttp.h>
+#include <fcntl.h>
+#include <io.h>
+#else
+#include <cstdio>
+#include <cstdlib>
+#include <cstring>
+#include <sys/stat.h>
+#include <unistd.h>
+#include <strings.h>
+#endif
+
 #include <locale.h>
+#include <iostream>
+#include <string>
+#include <vector>
 #include "WinRarConfig.hpp"
 #include "WinRarKeygen.hpp"
-#include <system_error>
+#include <stdexcept>
 
-void Help() {
+#ifdef _WIN32
-    _putts(TEXT("Usage:"));
+#pragma comment(lib, "Version.lib")
-    _putts(TEXT("        winrar-keygen.exe <your name> <license type>"));
+#pragma comment(lib, "winhttp.lib")
-    _putts(TEXT(""));
-    _putts(TEXT("Example:"));
-    _putts(TEXT(""));
-    _putts(TEXT("        winrar-keygen.exe \"Rebecca Morrison\" \"Single PC usage license\""));
-    _putts(TEXT("  or:"));
-    _putts(TEXT("        winrar-keygen.exe \"Rebecca Morrison\" \"Single PC usage license\" > rarreg.key\n"));
-}
-
-void PrintRegisterInfo(const WinRarKeygen<WinRarConfig>::RegisterInfo& Info) {
-    _tprintf_s(TEXT("%hs\n"), "RAR registration data");
-    _tprintf_s(TEXT("%hs\n"), Info.UserName.c_str());
-    _tprintf_s(TEXT("%hs\n"), Info.LicenseType.c_str());
-    _tprintf_s(TEXT("UID=%hs\n"), Info.UID.c_str());
-    for (size_t i = 0; i < Info.HexData.length(); i += 54) {
-        _tprintf_s(TEXT("%.54hs\n"), Info.HexData.c_str() + i);
-    }
-}
-
-std::string ToACP(PCWSTR lpszUnicodeString) {
-    int len;
-
-    len = WideCharToMultiByte(CP_ACP, 0, lpszUnicodeString, -1, NULL, 0, NULL, NULL);
-    if (len == 0) {
-        auto err = GetLastError();
-        throw std::system_error(err, std::system_category());
-    }
-
-    std::string Result(len, '\x00');
-
-    len = WideCharToMultiByte(CP_ACP, 0, lpszUnicodeString, -1, Result.data(), static_cast<int>(Result.length()), NULL, NULL);
-    if (len == 0) {
-        auto err = GetLastError();
-        throw std::system_error(err, std::system_category());
-    }
-
-    while (Result.back() == '\x00') {
-        Result.pop_back();
-    }
-
-    return Result;
-}
-
-int _tmain(int argc, PTSTR argv[]) {
-    setlocale(LC_ALL, "");
-    if (argc == 3) {
-        try {
-            PrintRegisterInfo(
-#if defined(_UNICODE) || defined(UNICODE)
-                WinRarKeygen<WinRarConfig>::GenerateRegisterInfo(ToACP(argv[1]).c_str(), ToACP(argv[2]).c_str())
-#else
-                WinRarKeygen<WinRarConfig>::GenerateRegisterInfo(argv[1], argv[2])
 #endif
-            );
+
-        } catch (std::exception& e) {
+#ifndef APP_VERSION
-            _tprintf_s(TEXT("%hs\n"), e.what());
+#define APP_VERSION "4.1.0.0"
-            return -1;
+#endif
-        }
+
-    } else {
+#ifdef _WIN32
-        Help();
+std::string WideToUtf8(const std::wstring& wstr) {
+    if (wstr.empty()) return {};
+    int size = WideCharToMultiByte(CP_UTF8, 0, wstr.data(), (int)wstr.size(), nullptr, 0, nullptr, nullptr);
+    std::string result(size, 0);
+    WideCharToMultiByte(CP_UTF8, 0, wstr.data(), (int)wstr.size(), &result[0], size, nullptr, nullptr);
+    return result;
+}
+
+std::wstring Utf8ToWide(const std::string& str) {
+    if (str.empty()) return {};
+    int size = MultiByteToWideChar(CP_UTF8, 0, str.data(), (int)str.size(), nullptr, 0);
+    std::wstring result(size, 0);
+    MultiByteToWideChar(CP_UTF8, 0, str.data(), (int)str.size(), &result[0], size);
+    return result;
+}
+
+std::string WideToAnsi(const std::wstring& wstr) {
+    if (wstr.empty()) return {};
+    BOOL usedDefaultChar = FALSE;
+    int size = WideCharToMultiByte(CP_ACP, WC_NO_BEST_FIT_CHARS, wstr.data(), (int)wstr.size(),
+                                   nullptr, 0, nullptr, &usedDefaultChar);
+    if (size == 0 || usedDefaultChar) {
+        throw std::runtime_error(
+            "Input contains characters not representable in the current ANSI code page. "
+            "Use '-e utf8' for Unicode characters.");
     }
+    std::string result(size, 0);
+    WideCharToMultiByte(CP_ACP, WC_NO_BEST_FIT_CHARS, wstr.data(), (int)wstr.size(),
+                        &result[0], size, nullptr, nullptr);
+    return result;
+}
+#endif
+
+enum class Encoding { ASCII, ANSI, UTF8 };
+
+struct Options {
+#ifdef _WIN32
+    std::wstring username;
+    std::wstring license;
+    Encoding encoding = Encoding::UTF8;
+    std::wstring outputFile = L"rarreg.key";
+#else
+    std::string username;
+    std::string license;
+    Encoding encoding = Encoding::UTF8;
+    std::string outputFile = "rarreg.key";
+#endif
+    bool textOnly = false;
+    bool activate = false;
+    bool showVersion = false;
+    bool showHelp = false;
+    bool checkUpdate = false;
+};
+
+#ifdef _WIN32
+bool ParseArguments(int argc, wchar_t* argv[], Options& opts) {
+    std::vector<std::wstring> positional;
+    for (int i = 1; i < argc; ++i) {
+        std::wstring arg = argv[i];
+        if (arg == L"-v" || arg == L"--version" || _wcsicmp(arg.c_str(), L"ver") == 0) {
+            opts.showVersion = true; return true;
+        }
+        if (arg == L"-h" || arg == L"--help" || _wcsicmp(arg.c_str(), L"help") == 0) {
+            opts.showHelp = true; return true;
+        }
+        if (arg == L"-t" || arg == L"--text") {
+            opts.textOnly = true; continue;
+        }
+        if (arg == L"-a" || arg == L"--activate") {
+            opts.activate = true; continue;
+        }
+        if (arg == L"-u" || arg == L"--update") {
+            opts.checkUpdate = true; return true;
+        }
+        if (arg == L"-e" || arg == L"--encoding") {
+            if (++i >= argc) {
+                std::wcerr << L"Error: Missing value for " << arg << L"\n";
+                return false;
+            }
+            std::wstring val = argv[i];
+            if (_wcsicmp(val.c_str(), L"ascii") == 0) opts.encoding = Encoding::ASCII;
+            else if (_wcsicmp(val.c_str(), L"ansi") == 0) opts.encoding = Encoding::ANSI;
+            else if (_wcsicmp(val.c_str(), L"utf8") == 0 || _wcsicmp(val.c_str(), L"utf-8") == 0)
+                opts.encoding = Encoding::UTF8;
+            else {
+                std::wcerr << L"Error: Unknown encoding '" << val << L"'. Use: ascii, ansi, utf8\n";
+                return false;
+            }
+            continue;
+        }
+        if (arg == L"-o" || arg == L"--output") {
+            if (++i >= argc) {
+                std::wcerr << L"Error: Missing value for " << arg << L"\n";
+                return false;
+            }
+            opts.outputFile = argv[i]; continue;
+        }
+        if (!arg.empty() && arg[0] == L'-') {
+            std::wcerr << L"Error: Unknown option '" << arg << L"'\n";
+            return false;
+        }
+        positional.push_back(arg);
+    }
+    if (positional.size() == 2) {
+        opts.username = positional[0];
+        opts.license = positional[1];
+        return true;
+    }
+    if (positional.empty()) {
+        opts.showHelp = true; return true;
+    }
+    std::wcerr << L"Error: Expected 2 arguments (Username, LicenseName), got "
+               << positional.size() << L"\n";
+    return false;
+}
+#else
+bool ParseArguments(int argc, char* argv[], Options& opts) {
+    std::vector<std::string> positional;
+    for (int i = 1; i < argc; ++i) {
+        std::string arg = argv[i];
+        if (arg == "-v" || arg == "--version" || strcasecmp(arg.c_str(), "ver") == 0) {
+            opts.showVersion = true; return true;
+        }
+        if (arg == "-h" || arg == "--help" || strcasecmp(arg.c_str(), "help") == 0) {
+            opts.showHelp = true; return true;
+        }
+        if (arg == "-t" || arg == "--text") {
+            opts.textOnly = true; continue;
+        }
+        if (arg == "-a" || arg == "--activate") {
+            opts.activate = true; continue;
+        }
+        if (arg == "-u" || arg == "--update") {
+            opts.checkUpdate = true; return true;
+        }
+        if (arg == "-e" || arg == "--encoding") {
+            if (++i >= argc) {
+                std::cerr << "Error: Missing value for " << arg << "\n";
+                return false;
+            }
+            std::string val = argv[i];
+            if (strcasecmp(val.c_str(), "ascii") == 0) opts.encoding = Encoding::ASCII;
+            else if (strcasecmp(val.c_str(), "ansi") == 0) opts.encoding = Encoding::ANSI;
+            else if (strcasecmp(val.c_str(), "utf8") == 0 || strcasecmp(val.c_str(), "utf-8") == 0)
+                opts.encoding = Encoding::UTF8;
+            else {
+                std::cerr << "Error: Unknown encoding '" << val << "'. Use: ascii, ansi, utf8\n";
+                return false;
+            }
+            continue;
+        }
+        if (arg == "-o" || arg == "--output") {
+            if (++i >= argc) {
+                std::cerr << "Error: Missing value for " << arg << "\n";
+                return false;
+            }
+            opts.outputFile = argv[i]; continue;
+        }
+        if (!arg.empty() && arg[0] == '-') {
+            std::cerr << "Error: Unknown option '" << arg << "'\n";
+            return false;
+        }
+        positional.push_back(arg);
+    }
+    if (positional.size() == 2) {
+        opts.username = positional[0];
+        opts.license = positional[1];
+        return true;
+    }
+    if (positional.empty()) {
+        opts.showHelp = true; return true;
+    }
+    std::cerr << "Error: Expected 2 arguments (Username, LicenseName), got "
+              << positional.size() << "\n";
+    return false;
+}
+#endif
+
+#ifdef _WIN32
+void ShowHelp(const std::wstring& version) {
+    std::wcout << L"WinRAR Keygen v" << version << L"\n\n";
+    std::wcout << L"Usage:\n";
+    std::wcout << L"  winrar-keygen.exe <Username> <LicenseName> [options]\n";
+    std::wcout << L"  winrar-keygen.exe -v | --version\n";
+    std::wcout << L"  winrar-keygen.exe -h | --help\n\n";
+    std::wcout << L"Options:\n";
+    std::wcout << L"  -e, --encoding <enc>   utf8 (default), ascii, ansi\n";
+    std::wcout << L"  -o, --output <file>    Output file (default: rarreg.key)\n";
+    std::wcout << L"  -a, --activate         Write to %APPDATA%\\WinRAR\\rarreg.key\n";
+    std::wcout << L"  -t, --text             Print to console only, don't write file\n";
+    std::wcout << L"  -u, --update           Check for updates on GitHub\n";
+    std::wcout << L"  -v, --version          Show version\n";
+    std::wcout << L"  -h, --help             Show this help\n\n";
+    std::wcout << L"Examples:\n";
+    std::wcout << L"  winrar-keygen.exe \"Github\" \"Single PC usage license\"\n";
+    std::wcout << L"  winrar-keygen.exe \"Github\" \"Single PC usage license\" -e ascii\n";
+    std::wcout << L"  winrar-keygen.exe \"Github\" \"Single PC usage license\" -a\n";
+    std::wcout << L"  winrar-keygen.exe \"Github\" \"Single PC usage license\" -t\n";
+}
+#else
+void ShowHelp(const std::string& version) {
+    std::cout << "WinRAR Keygen v" << version << "\n\n";
+    std::cout << "Usage:\n";
+    std::cout << "  winrar-keygen <Username> <LicenseName> [options]\n";
+    std::cout << "  winrar-keygen -v | --version\n";
+    std::cout << "  winrar-keygen -h | --help\n\n";
+    std::cout << "Options:\n";
+    std::cout << "  -e, --encoding <enc>   utf8 (default), ascii\n";
+    std::cout << "  -o, --output <file>    Output file (default: rarreg.key)\n";
+#ifdef __APPLE__
+    std::cout << "  -a, --activate         Write to ~/Library/Application Support/com.rarlab.WinRAR/rarreg.key\n";
+#else
+    std::cout << "  -a, --activate         Write to ~/.rarkey\n";
+#endif
+    std::cout << "  -t, --text             Print to console only, don't write file\n";
+    std::cout << "  -u, --update           Check for updates on GitHub\n";
+    std::cout << "  -v, --version          Show version\n";
+    std::cout << "  -h, --help             Show this help\n\n";
+    std::cout << "Examples:\n";
+    std::cout << "  winrar-keygen \"Github\" \"Single PC usage license\"\n";
+    std::cout << "  winrar-keygen \"Github\" \"Single PC usage license\" -e ascii\n";
+    std::cout << "  winrar-keygen \"Github\" \"Single PC usage license\" -a\n";
+    std::cout << "  winrar-keygen \"Github\" \"Single PC usage license\" -t\n";
+}
+#endif
+
+#ifdef _WIN32
+std::wstring GetExecutableVersion() {
+    wchar_t exePath[MAX_PATH] = {};
+    DWORD pathLen = GetModuleFileNameW(nullptr, exePath, MAX_PATH);
+    if (pathLen == 0) {
+        return L"unknown";
+    }
+
+    DWORD handle = 0;
+    DWORD versionSize = GetFileVersionInfoSizeW(exePath, &handle);
+    if (versionSize == 0) {
+        return L"unknown";
+    }
+
+    std::vector<BYTE> versionData(versionSize);
+    if (!GetFileVersionInfoW(exePath, 0, versionSize, versionData.data())) {
+        return L"unknown";
+    }
+
+    VS_FIXEDFILEINFO* fixedInfo = nullptr;
+    UINT len = 0;
+    if (!VerQueryValueW(versionData.data(), L"\\",
+                        reinterpret_cast<LPVOID*>(&fixedInfo),
+                        &len) ||
+        fixedInfo == nullptr) {
+        return L"unknown";
+    }
+
+    return std::to_wstring(HIWORD(fixedInfo->dwFileVersionMS)) + L"." +
+           std::to_wstring(LOWORD(fixedInfo->dwFileVersionMS)) + L"." +
+           std::to_wstring(HIWORD(fixedInfo->dwFileVersionLS)) + L"." +
+           std::to_wstring(LOWORD(fixedInfo->dwFileVersionLS));
+}
+#else
+std::string GetAppVersion() {
+    return APP_VERSION;
+}
+#endif
+
+#ifdef _WIN32
+void PrintRegisterInfo(const WinRarKeygen<WinRarConfig>::RegisterInfo& Info,
+                       const std::wstring& wUser, const std::wstring& wLicense) {
+    std::wstring uid = Utf8ToWide(Info.UID);
+    std::wstring data = Utf8ToWide(Info.HexData);
+
+    std::wcout << L"RAR registration data\n";
+    std::wcout << wUser << L"\n";
+    std::wcout << wLicense << L"\n";
+    std::wcout << L"UID=" << uid << L"\n";
+
+    for (size_t i = 0; i < data.length(); i += 54) {
+        std::wcout << data.substr(i, 54) << L"\n";
+    }
+}
+#else
+void PrintRegisterInfo(const WinRarKeygen<WinRarConfig>::RegisterInfo& Info,
+                       const std::string& user, const std::string& license) {
+    std::cout << "RAR registration data\n";
+    std::cout << user << "\n";
+    std::cout << license << "\n";
+    std::cout << "UID=" << Info.UID << "\n";
+
+    for (size_t i = 0; i < Info.HexData.length(); i += 54) {
+        std::cout << Info.HexData.substr(i, 54) << "\n";
+    }
+}
+#endif
+
+std::string BuildRegFileContent(const WinRarKeygen<WinRarConfig>::RegisterInfo& Info) {
+    std::string s;
+    s += "RAR registration data\r\n";
+    s += Info.UserName + "\r\n";
+    s += Info.LicenseType + "\r\n";
+    s += "UID=" + Info.UID + "\r\n";
+    for (size_t i = 0; i < Info.HexData.length(); i += 54) {
+        s += Info.HexData.substr(i, 54) + "\r\n";
+    }
+    return s;
+}
+
+#ifdef _WIN32
+bool WriteRegFile(const std::wstring& filePath, const std::string& content) {
+    FILE* fp = nullptr;
+    if (_wfopen_s(&fp, filePath.c_str(), L"wb") != 0 || !fp)
+        return false;
+    size_t written = fwrite(content.data(), 1, content.size(), fp);
+    fclose(fp);
+    return written == content.size();
+}
+#else
+bool WriteRegFile(const std::string& filePath, const std::string& content) {
+    FILE* fp = fopen(filePath.c_str(), "wb");
+    if (!fp) return false;
+    size_t written = fwrite(content.data(), 1, content.size(), fp);
+    fclose(fp);
+    return written == content.size();
+}
+#endif
+
+#ifdef _WIN32
+bool IsConsoleHandle(HANDLE handle) {
+    if (handle == nullptr || handle == INVALID_HANDLE_VALUE) {
+        return false;
+    }
+    DWORD mode = 0;
+    return GetConsoleMode(handle, &mode) != 0;
+}
+
+void ConfigureConsoleOutput() {
+    HANDLE stdoutHandle = GetStdHandle(STD_OUTPUT_HANDLE);
+    HANDLE stderrHandle = GetStdHandle(STD_ERROR_HANDLE);
+
+    // console use UTF-16, file use UTF-8
+    if (IsConsoleHandle(stdoutHandle)) {
+        if (_setmode(_fileno(stdout), _O_WTEXT) == -1)
+            std::wcerr << L"Failed to set stdout _O_WTEXT\n";
+    }
+    else {
+        // stdout is redirected to a file, use UTF-8
+        if (_setmode(_fileno(stdout), _O_U8TEXT) == -1)
+            std::wcerr << L"Failed to set stdout _O_U8TEXT\n";
+    }
+
+    if (IsConsoleHandle(stderrHandle)) {
+        if (_setmode(_fileno(stderr), _O_WTEXT) == -1)
+            std::wcerr << L"Failed to set stderr _O_WTEXT\n";
+    }
+    else {
+        if (_setmode(_fileno(stderr), _O_U8TEXT) == -1)
+            std::wcerr << L"Failed to set stderr _O_U8TEXT\n";
+    }
+}
+#endif
+
+struct Version {
+    int major = 0, minor = 0, patch = 0;
+    bool valid = false;
+};
+
+Version ParseVersion(const std::string& verStr) {
+    Version v;
+    std::string s = verStr;
+    if (!s.empty() && (s[0] == 'v' || s[0] == 'V')) s = s.substr(1);
+#ifdef _MSC_VER
+    int count = sscanf_s(s.c_str(), "%d.%d.%d", &v.major, &v.minor, &v.patch);
+#else
+    int count = sscanf(s.c_str(), "%d.%d.%d", &v.major, &v.minor, &v.patch);
+#endif
+    v.valid = (count >= 2);
+    return v;
+}
+
+bool IsNewer(const Version& remote, const Version& local) {
+    if (remote.major != local.major) return remote.major > local.major;
+    if (remote.minor != local.minor) return remote.minor > local.minor;
+    return remote.patch > local.patch;
+}
+
+std::string ExtractTagFromJson(const std::string& responseBody) {
+    std::string tagKey = "\"tag_name\"";
+    size_t pos = responseBody.find(tagKey);
+    if (pos == std::string::npos) return "";
+    pos = responseBody.find('\"', pos + tagKey.length());
+    if (pos == std::string::npos) return "";
+    size_t end = responseBody.find('\"', pos + 1);
+    if (end == std::string::npos) return "";
+    return responseBody.substr(pos + 1, end - pos - 1);
+}
+
+int CompareAndPrintUpdate(const std::string& currentVersion, const std::string& remoteTag) {
+    Version local = ParseVersion(currentVersion);
+    Version remote = ParseVersion(remoteTag);
+
+    if (!remote.valid) {
+#ifdef _WIN32
+        std::wcerr << L"Error: Could not parse remote version '" << Utf8ToWide(remoteTag) << L"'.\n";
+#else
+        std::cerr << "Error: Could not parse remote version '" << remoteTag << "'.\n";
+#endif
+        return -1;
+    }
+
+    if (IsNewer(remote, local)) {
+#ifdef _WIN32
+        std::wcout << L"\n  New version available: " << Utf8ToWide(remoteTag)
+                   << L" (current: v" << Utf8ToWide(currentVersion) << L")\n";
+        std::wcout << L"  Download: https://github.com/bitcookies/winrar-keygen/releases/latest\n\n";
+#else
+        std::cout << "\n  New version available: " << remoteTag
+                  << " (current: v" << currentVersion << ")\n";
+        std::cout << "  Download: https://github.com/bitcookies/winrar-keygen/releases/latest\n\n";
+#endif
+    } else {
+#ifdef _WIN32
+        std::wcout << L"Already up to date. (v" << Utf8ToWide(currentVersion) << L")\n";
+#else
+        std::cout << "Already up to date. (v" << currentVersion << ")\n";
+#endif
+    }
+
     return 0;
 }
 
+#ifdef _WIN32
+int CheckForUpdate(const std::string& currentVersion) {
+    std::wcout << L"Checking for updates...\n";
+
+    HINTERNET hSession = WinHttpOpen(L"winrar-keygen-updater",
+        WINHTTP_ACCESS_TYPE_DEFAULT_PROXY, WINHTTP_NO_PROXY_NAME, WINHTTP_NO_PROXY_BYPASS, 0);
+    if (!hSession) {
+        std::wcerr << L"Error: Failed to initialize WinHTTP.\n";
+        return -1;
+    }
+
+    HINTERNET hConnect = WinHttpConnect(hSession, L"api.github.com",
+        INTERNET_DEFAULT_HTTPS_PORT, 0);
+    if (!hConnect) {
+        std::wcerr << L"Error: Failed to connect to api.github.com.\n";
+        WinHttpCloseHandle(hSession);
+        return -1;
+    }
+
+    HINTERNET hRequest = WinHttpOpenRequest(hConnect, L"GET",
+        L"/repos/bitcookies/winrar-keygen/releases/latest",
+        nullptr, WINHTTP_NO_REFERER, WINHTTP_DEFAULT_ACCEPT_TYPES, WINHTTP_FLAG_SECURE);
+    if (!hRequest) {
+        std::wcerr << L"Error: Failed to create HTTP request.\n";
+        WinHttpCloseHandle(hConnect);
+        WinHttpCloseHandle(hSession);
+        return -1;
+    }
+
+    BOOL bResult = WinHttpSendRequest(hRequest, WINHTTP_NO_ADDITIONAL_HEADERS, 0,
+        WINHTTP_NO_REQUEST_DATA, 0, 0, 0);
+    if (!bResult) {
+        std::wcerr << L"Error: Failed to send HTTP request. Check your network connection.\n";
+        WinHttpCloseHandle(hRequest);
+        WinHttpCloseHandle(hConnect);
+        WinHttpCloseHandle(hSession);
+        return -1;
+    }
+
+    bResult = WinHttpReceiveResponse(hRequest, nullptr);
+    if (!bResult) {
+        std::wcerr << L"Error: No response from GitHub API.\n";
+        WinHttpCloseHandle(hRequest);
+        WinHttpCloseHandle(hConnect);
+        WinHttpCloseHandle(hSession);
+        return -1;
+    }
+
+    std::string responseBody;
+    DWORD dwSize = 0;
+    DWORD dwDownloaded = 0;
+    do {
+        dwSize = 0;
+        WinHttpQueryDataAvailable(hRequest, &dwSize);
+        if (dwSize == 0) break;
+        std::vector<char> buffer(dwSize);
+        WinHttpReadData(hRequest, buffer.data(), dwSize, &dwDownloaded);
+        responseBody.append(buffer.data(), dwDownloaded);
+    } while (dwSize > 0);
+
+    WinHttpCloseHandle(hRequest);
+    WinHttpCloseHandle(hConnect);
+    WinHttpCloseHandle(hSession);
+
+    if (responseBody.empty()) {
+        std::wcerr << L"Error: Empty response from GitHub API.\n";
+        return -1;
+    }
+
+    std::string remoteTag = ExtractTagFromJson(responseBody);
+    if (remoteTag.empty()) {
+        std::wcerr << L"Error: Could not find version info in GitHub response.\n";
+        return -1;
+    }
+
+    return CompareAndPrintUpdate(currentVersion, remoteTag);
+}
+#else
+int CheckForUpdate(const std::string& currentVersion) {
+    std::cout << "Checking for updates...\n";
+
+    FILE* pipe = popen("curl -s https://api.github.com/repos/bitcookies/winrar-keygen/releases/latest 2>/dev/null", "r");
+    if (!pipe) {
+        std::cerr << "Error: Failed to run curl. Make sure curl is installed.\n";
+        return -1;
+    }
+
+    std::string responseBody;
+    char buf[4096];
+    while (fgets(buf, sizeof(buf), pipe)) {
+        responseBody += buf;
+    }
+    int status = pclose(pipe);
+
+    if (status != 0 || responseBody.empty()) {
+        std::cerr << "Error: Failed to fetch update info. Check your network connection.\n";
+        return -1;
+    }
+
+    std::string remoteTag = ExtractTagFromJson(responseBody);
+    if (remoteTag.empty()) {
+        std::cerr << "Error: Could not find version info in GitHub response.\n";
+        return -1;
+    }
+
+    return CompareAndPrintUpdate(currentVersion, remoteTag);
+}
+#endif
+
+#ifdef _WIN32
+int wmain(int argc, wchar_t* argv[]) {
+    ConfigureConsoleOutput();
+
+    Options opts;
+    if (!ParseArguments(argc, argv, opts)) {
+        return -1;
+    }
+
+    std::wstring version = GetExecutableVersion();
+    std::string versionUtf8 = WideToUtf8(version);
+
+    if (opts.showVersion) {
+        std::wcout << L"winrar-keygen v" << version << L"\n";
+        return 0;
+    }
+    if (opts.showHelp) {
+        ShowHelp(version);
+        return 0;
+    }
+    if (opts.checkUpdate) {
+        return CheckForUpdate(versionUtf8);
+    }
+
+    if (opts.activate && opts.outputFile != L"rarreg.key") {
+        std::wcerr << L"Error: --activate and -o cannot be used together.\n";
+        return -1;
+    }
+    if (opts.activate && opts.textOnly) {
+        std::wcerr << L"Error: --activate and -t cannot be used together.\n";
+        return -1;
+    }
+
+    if (opts.activate) {
+        wchar_t appdata[MAX_PATH] = {};
+        DWORD len = ExpandEnvironmentStringsW(L"%APPDATA%\\WinRAR", appdata, MAX_PATH);
+        if (len == 0 || len > MAX_PATH) {
+            std::wcerr << L"Error: Failed to resolve %APPDATA% path.\n";
+            return -1;
+        }
+        CreateDirectoryW(appdata, nullptr);
+        opts.outputFile = std::wstring(appdata) + L"\\rarreg.key";
+    }
+
+    try {
+        if (opts.username.empty() || opts.license.empty()) {
+            std::wcerr << L"Error: Username and License Name must not be empty.\n";
+            return -1;
+        }
+        if (opts.username.length() > 200 || opts.license.length() > 200) {
+            std::wcerr << L"Error: Username and License Name must not exceed 200 characters.\n";
+            return -1;
+        }
+
+        std::wstring wDisplayUser = opts.username;
+        std::wstring wDisplayLicense = opts.license;
+        std::string user, license;
+
+        switch (opts.encoding) {
+        case Encoding::UTF8: {
+            auto hasNonAscii = [](const std::wstring& s) {
+                for (wchar_t c : s)
+                    if (static_cast<unsigned>(c) > 127) return true;
+                return false;
+            };
+            if (hasNonAscii(wDisplayUser) &&
+                (wDisplayUser.length() < 5 || wDisplayUser.substr(0, 5) != L"utf8:"))
+                wDisplayUser = L"utf8:" + wDisplayUser;
+            if (hasNonAscii(wDisplayLicense) &&
+                (wDisplayLicense.length() < 5 || wDisplayLicense.substr(0, 5) != L"utf8:"))
+                wDisplayLicense = L"utf8:" + wDisplayLicense;
+            user = WideToUtf8(wDisplayUser);
+            license = WideToUtf8(wDisplayLicense);
+            break;
+        }
+        case Encoding::ANSI:
+            user = WideToAnsi(wDisplayUser);
+            license = WideToAnsi(wDisplayLicense);
+            break;
+        case Encoding::ASCII:
+        default:
+            user = WideToAnsi(wDisplayUser);
+            license = WideToAnsi(wDisplayLicense);
+            for (unsigned char c : user)
+                if (c > 127)
+                    throw std::runtime_error(
+                        "Username contains non-ASCII characters. Use '-e ansi' or '-e utf8'.");
+            for (unsigned char c : license)
+                if (c > 127)
+                    throw std::runtime_error(
+                        "License name contains non-ASCII characters. Use '-e ansi' or '-e utf8'.");
+            break;
+        }
+
+        auto Info = WinRarKeygen<WinRarConfig>::GenerateRegisterInfo(user.c_str(), license.c_str());
+
+        if (opts.textOnly) {
+            PrintRegisterInfo(Info, wDisplayUser, wDisplayLicense);
+        } else {
+            std::string content = BuildRegFileContent(Info);
+            if (!WriteRegFile(opts.outputFile, content)) {
+                std::wcerr << L"Error: Failed to write file: " << opts.outputFile << L"\n";
+                return -1;
+            }
+
+            const wchar_t* encName = (opts.encoding == Encoding::UTF8) ? L"UTF-8" :
+                                     (opts.encoding == Encoding::ANSI) ? L"ANSI" : L"ASCII";
+
+            std::wcout << L"\n";
+            PrintRegisterInfo(Info, wDisplayUser, wDisplayLicense);
+            std::wcout << L"\nDone! " << opts.outputFile << L" has been generated. ("
+                       << encName << L")\n";
+        }
+    }
+    catch (std::exception& e) {
+        std::wcerr << L"Error: " << Utf8ToWide(e.what()) << L"\n";
+        return -1;
+    }
+
+    return 0;
+}
+#else
+int main(int argc, char* argv[]) {
+    Options opts;
+    if (!ParseArguments(argc, argv, opts)) {
+        return -1;
+    }
+
+    std::string version = GetAppVersion();
+
+    if (opts.showVersion) {
+        std::cout << "winrar-keygen v" << version << "\n";
+        return 0;
+    }
+    if (opts.showHelp) {
+        ShowHelp(version);
+        return 0;
+    }
+    if (opts.checkUpdate) {
+        return CheckForUpdate(version);
+    }
+
+    if (opts.activate && opts.outputFile != "rarreg.key") {
+        std::cerr << "Error: --activate and -o cannot be used together.\n";
+        return -1;
+    }
+    if (opts.activate && opts.textOnly) {
+        std::cerr << "Error: --activate and -t cannot be used together.\n";
+        return -1;
+    }
+
+    if (opts.activate) {
+#ifdef __APPLE__
+        const char* home = getenv("HOME");
+        if (!home) {
+            std::cerr << "Error: Failed to resolve $HOME path.\n";
+            return -1;
+        }
+        std::string activateDir = std::string(home) + "/Library/Application Support/com.rarlab.WinRAR";
+        mkdir(activateDir.c_str(), 0755);
+        opts.outputFile = activateDir + "/rarreg.key";
+#else
+        const char* home = getenv("HOME");
+        if (!home) {
+            std::cerr << "Error: Failed to resolve $HOME path.\n";
+            return -1;
+        }
+        opts.outputFile = std::string(home) + "/.rarkey";
+#endif
+    }
+
+    try {
+        if (opts.username.empty() || opts.license.empty()) {
+            std::cerr << "Error: Username and License Name must not be empty.\n";
+            return -1;
+        }
+        if (opts.username.length() > 200 || opts.license.length() > 200) {
+            std::cerr << "Error: Username and License Name must not exceed 200 characters.\n";
+            return -1;
+        }
+
+        std::string displayUser = opts.username;
+        std::string displayLicense = opts.license;
+        std::string user, license;
+
+        switch (opts.encoding) {
+        case Encoding::UTF8: {
+            auto hasNonAscii = [](const std::string& s) {
+                for (unsigned char c : s)
+                    if (c > 127) return true;
+                return false;
+            };
+            if (hasNonAscii(displayUser) &&
+                (displayUser.length() < 5 || displayUser.substr(0, 5) != "utf8:"))
+                displayUser = "utf8:" + displayUser;
+            if (hasNonAscii(displayLicense) &&
+                (displayLicense.length() < 5 || displayLicense.substr(0, 5) != "utf8:"))
+                displayLicense = "utf8:" + displayLicense;
+            user = displayUser;
+            license = displayLicense;
+            break;
+        }
+        case Encoding::ANSI:
+            std::cerr << "Warning: ANSI encoding is not supported on this platform. Using UTF-8.\n";
+            user = displayUser;
+            license = displayLicense;
+            break;
+        case Encoding::ASCII:
+        default:
+            user = displayUser;
+            license = displayLicense;
+            for (unsigned char c : user)
+                if (c > 127)
+                    throw std::runtime_error(
+                        "Username contains non-ASCII characters. Use '-e utf8'.");
+            for (unsigned char c : license)
+                if (c > 127)
+                    throw std::runtime_error(
+                        "License name contains non-ASCII characters. Use '-e utf8'.");
+            break;
+        }
+
+        auto Info = WinRarKeygen<WinRarConfig>::GenerateRegisterInfo(user.c_str(), license.c_str());
+
+        if (opts.textOnly) {
+            PrintRegisterInfo(Info, displayUser, displayLicense);
+        } else {
+            std::string content = BuildRegFileContent(Info);
+            if (!WriteRegFile(opts.outputFile, content)) {
+                std::cerr << "Error: Failed to write file: " << opts.outputFile << "\n";
+                return -1;
+            }
+
+            const char* encName = (opts.encoding == Encoding::UTF8) ? "UTF-8" :
+                                  (opts.encoding == Encoding::ANSI) ? "ANSI" : "ASCII";
+
+            std::cout << "\n";
+            PrintRegisterInfo(Info, displayUser, displayLicense);
+            std::cout << "\nDone! " << opts.outputFile << " has been generated. ("
+                      << encName << ")\n";
+        }
+    }
+    catch (std::exception& e) {
+        std::cerr << "Error: " << e.what() << "\n";
+        return -1;
+    }
+
+    return 0;
+}
+#endif

assets/ascii-characters-dark.svg

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+  <style type="text/css">.text{fill:#fff;}</style>
+  <text class="text" y="12" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14"> !&quot;#$%&amp;'()*+,-./012</text>
+  <text class="text" y="27" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">3456789:;&lt;=&gt;?@ABCDE</text>
+  <text class="text" y="42" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">FGHIJKLMNOPQRSTUVWX</text>
+  <text class="text" y="57" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">YZ[\]^_`abcdefghijk</text>
+  <text class="text" y="72" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">lmnopqrstuvwxyz{|}~</text>
+</svg>

assets/ascii-characters-light.svg

@@ -0,0 +1,7 @@
+<svg width="1720" height="760" viewBox="0 0 172 76" xmlns="http://www.w3.org/2000/svg">
+  <text y="12" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14"> !&quot;#$%&amp;'()*+,-./012</text>
+  <text y="27" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">3456789:;&lt;=&gt;?@ABCDE</text>
+  <text y="42" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">FGHIJKLMNOPQRSTUVWX</text>
+  <text y="57" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">YZ[\]^_`abcdefghijk</text>
+  <text y="72" x="2" textLength="170" style="white-space: pre" letter-spacing=".55" font-family="DejaVu Sans Mono" font-size="14">lmnopqrstuvwxyz{|}~</text>
+</svg>

assets/file-icon.svg

@@ -0,0 +1 @@
+<svg xmlns="http://www.w3.org/2000/svg"  viewBox="0 0 80 80" width="40px" height="40px"><path fill="#fff" d="M12.5 75.5L12.5 4.5 49.793 4.5 67.5 22.207 67.5 75.5z"/><path fill="#788b9c" d="M49.586,5L67,22.414V75H13V5H49.586 M50,4H12v72h56V22L50,4L50,4z"/><path fill="#fff" d="M49.5 22.5L49.5 4.5 49.793 4.5 67.5 22.207 67.5 22.5z"/><path fill="#788b9c" d="M50 5.414L66.586 22H50V5.414M50 4h-1v19h19v-1L50 4 50 4zM24 32H56V33H24zM24 38H48V39H24zM24 44H56V45H24zM24 50H48V51H24zM24 56H56V57H24z"/></svg>

assets/formula/1-dark.svg

@@ -0,0 +1,29 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- Generated by CodeCogs with dvisvgm 2.9.1 -->
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