大重构改了文档&实现了初步OpenGL窗口创建和一些基础的初始化工作

.clangd

@@ -3,6 +3,9 @@ CompileFlags:
     - -std=c++20
     - -Wall
     - -I/toDataDrive/ARE/include/
+    - -I/toDataDrive/ARE/lib/glad/
+    - -I/toDataDrive/ARE/lib/stb/
+    - -I/toDataDrive/ARE/lib/spdlog/include/
   Remove:
 
 Diagnostics:

.gitignore

@@ -1,2 +1,41 @@
-/local_test/
-/build/
+# Build directories
+build/
+cmake-build-*/
+
+# IDE files
+.vscode/
+.idea/
+*.swp
+*.swo
+*~
+
+# Compiled files
+*.o
+*.obj
+*.a
+*.lib
+*.so
+*.dll
+*.dylib
+*.exe
+
+# CMake files
+CMakeCache.txt
+CMakeFiles/
+cmake_install.cmake
+Makefile
+
+# Output files
+output/
+*.ppm
+*.bmp
+*.png
+*.jpg
+
+# OS files
+.DS_Store
+Thumbs.db
+
+# Experiments (optional, can be tracked)
+experiments/*
+!experiments/.gitkeep

CMakeLists.txt

@@ -0,0 +1,238 @@
+cmake_minimum_required(VERSION 3.15)
+project(AuroraRenderingEngine VERSION 0.1.0 LANGUAGES CXX C)
+
+# Set C++ standard
+set(CMAKE_CXX_STANDARD 17)
+set(CMAKE_CXX_STANDARD_REQUIRED ON)
+set(CMAKE_CXX_EXTENSIONS OFF)
+
+# Set C standard for GLAD
+set(CMAKE_C_STANDARD 99)
+set(CMAKE_C_STANDARD_REQUIRED ON)
+
+# Build options
+option(ARE_BUILD_SHARED "Build shared library" OFF)
+option(ARE_BUILD_EXAMPLES "Build example programs" ON)
+option(ARE_ENABLE_PROFILING "Enable performance profiling" ON)
+option(ARE_ENABLE_DEBUG_VIS "Enable debug visualization" ON)
+
+# Set output directories
+set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/lib)
+set(CMAKE_LIBRARY_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/lib)
+set(CMAKE_RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/bin)
+
+# Compiler flags
+if(MSVC)
+    add_compile_options(/W4)
+    add_compile_definitions(_CRT_SECURE_NO_WARNINGS)
+    # Disable specific warnings that are too strict
+    add_compile_options(/wd4100)  # unreferenced formal parameter
+else()
+    add_compile_options(-Wall -Wextra -pedantic)
+    # Disable specific warnings
+    add_compile_options(-Wno-unused-parameter)
+endif()
+
+# Find required packages
+find_package(OpenGL REQUIRED)
+find_package(glfw3 REQUIRED)
+find_package(glm REQUIRED)
+
+# Try to find spdlog (system installation)
+find_package(spdlog QUIET)
+
+if(NOT spdlog_FOUND)
+    message(STATUS "spdlog not found in system, using local version")
+    # Use local spdlog
+    set(SPDLOG_INCLUDE_DIR "${CMAKE_SOURCE_DIR}/lib/spdlog/include")
+    if(NOT EXISTS ${SPDLOG_INCLUDE_DIR})
+        message(FATAL_ERROR "spdlog not found. Please install spdlog or place it in lib/spdlog/")
+    endif()
+    add_library(spdlog INTERFACE)
+    target_include_directories(spdlog INTERFACE ${SPDLOG_INCLUDE_DIR})
+    # spdlog compile definitions
+    target_compile_definitions(spdlog INTERFACE SPDLOG_COMPILED_LIB)
+endif()
+
+# Find OpenMP (optional)
+find_package(OpenMP)
+if(OpenMP_CXX_FOUND)
+    set(ARE_USE_OPENMP ON)
+    add_compile_definitions(ARE_USE_OPENMP)
+    message(STATUS "OpenMP found and enabled")
+else()
+    message(STATUS "OpenMP not found, multithreading will use std::thread")
+endif()
+
+# GLAD library path
+set(GLAD_INCLUDE_DIR "${CMAKE_SOURCE_DIR}/lib/glad")
+set(GLAD_SOURCE_DIR "${CMAKE_SOURCE_DIR}/lib/glad")
+
+if(NOT EXISTS ${GLAD_INCLUDE_DIR})
+    message(FATAL_ERROR "GLAD include directory not found: ${GLAD_INCLUDE_DIR}")
+endif()
+
+if(NOT EXISTS ${GLAD_SOURCE_DIR})
+    message(FATAL_ERROR "GLAD source directory not found: ${GLAD_SOURCE_DIR}")
+endif()
+
+# STB library path
+set(STB_INCLUDE_DIR "${CMAKE_SOURCE_DIR}/lib/stb")
+
+if(NOT EXISTS ${STB_INCLUDE_DIR})
+    message(FATAL_ERROR "STB include directory not found: ${STB_INCLUDE_DIR}")
+endif()
+
+# Collect all source files from src/
+file(GLOB_RECURSE ARE_SOURCES 
+    "${CMAKE_SOURCE_DIR}/src/*.cpp"
+    "${CMAKE_SOURCE_DIR}/src/*.c"
+)
+
+# Collect all GLAD source files
+file(GLOB GLAD_SOURCES 
+    "${GLAD_SOURCE_DIR}/*.c"
+)
+
+# Add GLAD sources to ARE sources
+list(APPEND ARE_SOURCES ${GLAD_SOURCES})
+
+# Collect all header files
+file(GLOB_RECURSE ARE_HEADERS 
+    "${CMAKE_SOURCE_DIR}/include/*.h"
+    "${CMAKE_SOURCE_DIR}/include/*.hpp"
+)
+
+# Create library
+if(ARE_BUILD_SHARED)
+    add_library(are SHARED ${ARE_SOURCES} ${ARE_HEADERS})
+    target_compile_definitions(are PRIVATE ARE_BUILD_SHARED)
+    message(STATUS "Building shared library")
+else()
+    add_library(are STATIC ${ARE_SOURCES} ${ARE_HEADERS})
+    message(STATUS "Building static library")
+endif()
+
+# Set target properties
+set_target_properties(are PROPERTIES
+    VERSION ${PROJECT_VERSION}
+    SOVERSION ${PROJECT_VERSION_MAJOR}
+    PUBLIC_HEADER "${ARE_HEADERS}"
+)
+
+# Include directories
+target_include_directories(are
+    PUBLIC
+        $<BUILD_INTERFACE:${CMAKE_SOURCE_DIR}/include>
+        $<INSTALL_INTERFACE:include>
+    PRIVATE
+        ${CMAKE_SOURCE_DIR}/src
+        ${GLAD_INCLUDE_DIR}
+        ${STB_INCLUDE_DIR}
+)
+
+# Link libraries
+target_link_libraries(are
+    PUBLIC
+        OpenGL::GL
+        glfw
+        glm::glm
+)
+
+# Link spdlog
+if(spdlog_FOUND)
+    target_link_libraries(are PUBLIC spdlog::spdlog)
+else()
+    target_link_libraries(are PUBLIC spdlog)
+    target_include_directories(are PRIVATE ${SPDLOG_INCLUDE_DIR})
+endif()
+
+# Link OpenMP if available
+if(OpenMP_CXX_FOUND)
+    target_link_libraries(are PUBLIC OpenMP::OpenMP_CXX)
+endif()
+
+# Platform-specific libraries
+if(UNIX AND NOT APPLE)
+    target_link_libraries(are PUBLIC dl pthread)
+endif()
+
+# Compile definitions
+if(ARE_ENABLE_PROFILING)
+    target_compile_definitions(are PUBLIC ARE_ENABLE_PROFILING)
+    message(STATUS "Profiling enabled")
+endif()
+
+if(ARE_ENABLE_DEBUG_VIS)
+    target_compile_definitions(are PUBLIC ARE_ENABLE_DEBUG_VIS)
+    message(STATUS "Debug visualization enabled")
+endif()
+
+# Build examples
+if(ARE_BUILD_EXAMPLES)
+    # Define helper function for creating examples
+    function(add_are_example EXAMPLE_NAME)
+        add_executable(${EXAMPLE_NAME} ${ARGN})
+        target_link_libraries(${EXAMPLE_NAME} PRIVATE are)
+        set_target_properties(${EXAMPLE_NAME} PROPERTIES
+            RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/bin
+        )
+    endfunction()
+    
+    # Add example subdirectories
+    add_subdirectory(examples/00_phase1_test)
+    
+    message(STATUS "Examples will be built")
+endif()
+
+# Installation rules
+install(TARGETS are
+    ARCHIVE DESTINATION lib
+    LIBRARY DESTINATION lib
+    RUNTIME DESTINATION bin
+    PUBLIC_HEADER DESTINATION include/are
+)
+
+install(DIRECTORY ${CMAKE_SOURCE_DIR}/include/are
+    DESTINATION include
+    FILES_MATCHING PATTERN "*.h" PATTERN "*.hpp"
+)
+
+install(DIRECTORY ${CMAKE_SOURCE_DIR}/shaders
+    DESTINATION share/are/shaders
+)
+
+# Print configuration summary
+message(STATUS "")
+message(STATUS "========================================")
+message(STATUS "Aurora Rendering Engine Configuration")
+message(STATUS "========================================")
+message(STATUS "  Version:              ${PROJECT_VERSION}")
+message(STATUS "  Build type:           ${CMAKE_BUILD_TYPE}")
+message(STATUS "  Library type:         ${ARE_BUILD_SHARED}")
+message(STATUS "  C++ standard:         ${CMAKE_CXX_STANDARD}")
+message(STATUS "  Compiler:             ${CMAKE_CXX_COMPILER_ID} ${CMAKE_CXX_COMPILER_VERSION}")
+message(STATUS "")
+message(STATUS "Features:")
+message(STATUS "  OpenMP support:       ${ARE_USE_OPENMP}")
+message(STATUS "  Build examples:       ${ARE_BUILD_EXAMPLES}")
+message(STATUS "  Enable profiling:     ${ARE_ENABLE_PROFILING}")
+message(STATUS "  Enable debug vis:     ${ARE_ENABLE_DEBUG_VIS}")
+message(STATUS "")
+message(STATUS "Dependencies:")
+message(STATUS "  OpenGL:               ${OPENGL_LIBRARIES}")
+message(STATUS "  GLFW:                 Found")
+message(STATUS "  GLM:                  Found")
+if(spdlog_FOUND)
+    message(STATUS "  spdlog:               Found (system)")
+else()
+    message(STATUS "  spdlog:               Found (local)")
+endif()
+message(STATUS "  GLAD:                 ${GLAD_INCLUDE_DIR}")
+message(STATUS "  STB:                  ${STB_INCLUDE_DIR}")
+message(STATUS "")
+message(STATUS "Output directories:")
+message(STATUS "  Executables:          ${CMAKE_BINARY_DIR}/bin")
+message(STATUS "  Libraries:            ${CMAKE_BINARY_DIR}/lib")
+message(STATUS "========================================")
+message(STATUS "")

docs/CodingStandards-ch.md

@@ -0,0 +1,42 @@
+# NanoEra 项目设计编码规范 (NanoEra Project Design and Coding Standards) V1.0
+## 一、模块
+1. 模块是项目的基本组成单元，每个模块应有且仅有明确的功能。
+2. 对于单个模块，其应该由以下两个部分组成：
+    * 模块内容声明部分：包含模块的头文件(`.h`或`.hpp`文件)，用于声明模块的接口和数据结构等。
+    * 模块实现部分：包含模块的源代码文件(`.cpp`或`.c`文件)，用于实现模块的功能逻辑。
+* 注：对于较为复杂的单个模块，可以使用多个头文件与源代码文件，但是必须全部组织于名为模块名称的文件夹内。
+3. 模块之间允许存在依赖关系，但应杜绝模块内容声明部分的循环依赖，以确保模块的独立性和可维护性。*特殊地，模块的实现之间允许循环依赖，如对于模块A和模块B，`B.cpp`导入了'A.h'且'A.cpp'导入了'B.h'是可以出现的，但是`A.h`与`B.h`间不允许出现任何引用关系。*
+4. **2.4节**中`extended_folders.list`里的保留文件夹名不应该作为模块名使用。
+
+## 二、文件目录组织规范
+1. 项目根目录下应至少包含如下文件夹：
+    * `include/`：存放头文件。
+    * `src/`：存放源代码文件。
+    * `lib/`：存放第三方库文件。
+    * `build/`：存放编译生成的文件***(该文件夹应该由编译程序在构建项目时自动创建，并在清理构建时自动删除，而不是手动创建)***
+    * `res/`：存放资源文件，如项目图标等内容。
+    * `docs/`：存放项目文档。
+    * `tests/`：存放测试代码。
+    * `scripts/`：存放构建和部署脚本。
+    * `experiments/`：用于项目测试记录留证和临时实验代码和数据归档。
+* 除此之外，项目根目录下还可以创建其他文件夹，但是必须在`git push`推送代码时注明文件夹用途。
+2. 对于头文件文件夹(`include/`文件夹)的特殊要求：
+    * 原则上，项目的`include/`文件夹内不依赖任何非编译器内置库的模块和外部模块应该分别存储于`basic/`和`external/`两个子文件夹中。
+    * 额外地，可以创建一些文件夹用于进行模块分类，但由于部分模块存储于文件夹中而不是单一文件中，故可在`include/`文件夹中创建`extended_folders.list`声明用于模块分类的文件夹，每行一个文件夹名称(格式如本文)。相应地，这部分保留文件夹名不应该作为模块名。
+3. 对于源代码文件夹(`src/`文件夹)的特殊要求：
+    * 源代码文件应与其对应的头文件文件夹结构保持一致。
+4. `scripts/`文件夹内可以存储如下脚本文件：
+    * `export_modules_requirements.sh`：基于`include/`和`src/`中的源码和`include/extended_folders.list`导出项目模块依赖关系。
+    * `check_code.sh`：用于检查代码规范。
+5. 所有文件应统一采用UTF-8编码。如需多编码形式，可以在`scripts/`文件夹内创建相应的转换脚本。
+
+## 三、编码规范
+1. 命名规范：
+    * 文件夹、文件夹名应使用小写单词+下划线形式命名。
+    * 函数名、变量名应使用小写单词+下划线形式命名。
+    * 类、结构体等数据结构名应使用大驼峰命名法，数据结构成员变量及函数应后缀下划线进行标记。
+    * 全局常量、宏定义、宏函数等应使用大写单词+下划线形式。
+    * 全局变量应前缀`g_`并使用小写单词+下划线形式命名。
+1. 对于编码时头文件引用的要求：
+    * 对于`include/`文件夹中的头文件，其应保证只引用模块接口和数据结构声明所必须的头，其余如实现时才需要的头文件应该在实现文件中引用。
+    * 对于`src/`文件夹中的实现文件，其同样应保证只引用该文件所必须的头文件，同时不能引用模块头文件中已经引用过的头文件(因为模块实现文件中一定会包含模块声明的头文件，故应避免冲突include)。

docs/CodingStandards-en.md

@@ -0,0 +1,42 @@
+# NanoEra Project Design and Coding Standards V1.0
+## 1. Modules
+1. A module is the fundamental unit of a project. Each module should have one and only one well-defined functionality.
+2. A single module should consist of the following two parts:
+    * Module Declaration: Contains the module's header files (`.h` or `.hpp`), used to declare the module's interfaces, data structures, etc.
+    * Module Implementation: Contains the module's source code files (`.cpp` or `.c`), used to implement the module's functional logic.
+* Note: For more complex individual modules, multiple header files and source code files may be used, but they must all be organized within a folder named after the module.
+3. Dependencies between modules are allowed. However, circular dependencies in module declarations must be杜绝 to ensure module independence and maintainability. *Specifically, circular dependencies in module implementations are permitted. For example, it is acceptable for `B.cpp` to include `A.h` and for `A.cpp` to include `B.h`. However, any referencing relationship between `A.h` and `B.h` is prohibited.*
+4. The reserved folder names listed in `extended_folders.list` in **Section 2.4** should not be used as module names.
+
+## 2. File and Directory Organization Standards
+1. The project root directory should contain at least the following folders:
+    * `include/`: Stores header files.
+    * `src/`: Stores source code files.
+    * `lib/`: Stores third-party library files.
+    * `build/`: Stores files generated during compilation. ***(This folder should be created automatically by the build program during project construction and deleted automatically during clean builds, not created manually.)***
+    * `res/`: Stores resource files, such as project icons, etc.
+    * `docs/`: Stores project documentation.
+    * `tests/`: Stores test code.
+    * `scripts/`: Stores build and deployment scripts.
+    * `experiments/`: Used for archiving project test records and temporary experimental code and data.
+* In addition to these, other folders can be created in the project root directory. However, the purpose of any such folder must be documented during `git push`.
+2. Special requirements for the header file folder (`include/`):
+    * In principle, modules within the project's `include/` folder that do not depend on any non-compiler-built-in libraries and external modules should be stored in the `basic/` and `external/` subfolders, respectively.
+    * Additionally, folders can be created for module categorization. Since some modules are stored in folders rather than single files, an `extended_folders.list` file can be created within the `include/` folder to declare folders used for module categorization, with one folder name per line (formatted as in this document). Accordingly, these reserved folder names should not be used as module names.
+3. Special requirements for the source code folder (`src/`):
+    * The structure of source code files should mirror that of their corresponding header files.
+4. The `scripts/` folder may contain the following script files:
+    * `export_modules_requirements.sh`: Exports project module dependencies based on the source code in `include/` and `src/`, and `include/extended_folders.list`.
+    * `check_code.sh`: Used for checking code standards compliance.
+5. All files should uniformly use UTF-8 encoding. If multiple encodings are necessary, corresponding conversion scripts can be created within the `scripts/` folder.
+
+## 3. Coding Standards
+1. Naming Conventions:
+    * Folder and file names should use lowercase words separated by underscores.
+    * Function and variable names should use lowercase words separated by underscores.
+    * Class, struct, and other data structure names should use PascalCase. Member variables and functions of data structures should be suffixed with an underscore.
+    * Global constants, macro definitions, and macro functions should use uppercase words separated by underscores.
+    * Global variables should be prefixed with `g_` and use lowercase words separated by underscores.
+2. Requirements for header file inclusion during coding:
+    * Header files in the `include/` folder should only include headers strictly necessary for declaring module interfaces and data structures. Other headers, required only during implementation, should be included in the implementation files.
+    * Implementation files in the `src/` folder should likewise only include headers strictly necessary for that specific file. They must not include headers that are already included in the module's header file (since the module's implementation file will always include the module's declaration header, this avoids conflicting includes).

examples/00_phase1_test/CMakeLists.txt

@@ -0,0 +1,4 @@
+# Phase 1 test program
+# Note: add_are_example is defined in parent CMakeLists.txt
+
+add_are_example(phase1_test main.cpp)

examples/00_phase1_test/main.cpp

@@ -0,0 +1,188 @@
+/**
+ * @file main.cpp
+ * @brief Phase 1 verification program
+ * 
+ * Tests core, platform, and utils modules.
+ */
+
+#include <are/are.h>
+#include <are/utils/random.h>
+#include <are/utils/file_utils.h>
+#include <iostream>
+#include <GLFW/glfw3.h>
+
+void test_core_modules() {
+    std::cout << "\n=== Testing Core Modules ===" << std::endl;
+    
+    // Test config
+    are::AreConfig config;
+    config.window.width = 800;
+    config.window.height = 600;
+    config.window.title = "Phase 1 Test";
+    
+    if (config.validate()) {
+        ARE_LOG_INFO("Config validation passed");
+        config.print();
+    } else {
+        ARE_LOG_ERROR("Config validation failed");
+    }
+    
+    // Test profiler
+    ARE_PROFILE_BEGIN("test_section");
+    
+    // Simulate some work
+    double sum = 0.0;
+    for (int i = 0; i < 1000000; ++i) {
+        sum += i * 0.001;
+    }
+    
+    ARE_PROFILE_END("test_section");
+    
+    ARE_LOG_INFO("Profiler test completed (sum = " + std::to_string(sum) + ")");
+}
+
+void test_platform_modules() {
+    std::cout << "\n=== Testing Platform Modules ===" << std::endl;
+    
+    try {
+        // Create window
+        are::WindowConfig win_config;
+        win_config.width = 800;
+        win_config.height = 600;
+        win_config.title = "Phase 1 Platform Test";
+        
+        are::Window window(win_config);
+        ARE_LOG_INFO("Window created successfully");
+        
+        // Initialize OpenGL context
+        if (are::GLContext::initialize()) {
+            ARE_LOG_INFO("OpenGL context initialized");
+            are::GLContext::print_info();
+        } else {
+            ARE_LOG_ERROR("Failed to initialize OpenGL context");
+            return;
+        }
+        
+        // Clear screen to blue
+        glClearColor(0.2f, 0.3f, 0.8f, 1.0f);
+        
+        // Simple render loop (5 seconds)
+        ARE_LOG_INFO("Running render loop for 5 seconds...");
+        
+        double start_time = glfwGetTime();
+        int frame_count = 0;
+        
+        while (!window.should_close() && (glfwGetTime() - start_time) < 5.0) {
+            glClear(GL_COLOR_BUFFER_BIT);
+            
+            window.swap_buffers();
+            window.poll_events();
+            
+            frame_count++;
+        }
+        
+        double elapsed = glfwGetTime() - start_time;
+        double fps = frame_count / elapsed;
+        
+        ARE_LOG_INFO("Rendered " + std::to_string(frame_count) + " frames in " + 
+                     std::to_string(elapsed) + " seconds");
+        ARE_LOG_INFO("Average FPS: " + std::to_string(fps));
+        
+    } catch (const std::exception& e) {
+        ARE_LOG_ERROR("Platform test failed: " + std::string(e.what()));
+    }
+}
+
+void test_utils_modules() {
+    std::cout << "\n=== Testing Utils Modules ===" << std::endl;
+    
+    // Test math utils
+    are::Vec3 a(1, 0, 0);
+    are::Vec3 b(0, 1, 0);
+    are::Vec3 c(0, 0, 1);
+    are::Vec3 p(0.3f, 0.3f, 0.4f);
+    
+    are::Real u, v, w;
+    are::compute_barycentric(p, a, b, c, u, v, w);
+    
+    ARE_LOG_INFO("Barycentric coordinates: u=" + std::to_string(u) + 
+                 ", v=" + std::to_string(v) + ", w=" + std::to_string(w));
+    
+    // Test random
+    are::RandomGenerator rng(12345);
+    
+    ARE_LOG_INFO("Random float [0,1): " + std::to_string(rng.random_float()));
+    ARE_LOG_INFO("Random float [10,20): " + std::to_string(rng.random_float(10.0f, 20.0f)));
+    ARE_LOG_INFO("Random int [1,100]: " + std::to_string(rng.random_int(1, 100)));
+    
+    are::Vec3 random_vec = rng.random_unit_vector();
+    ARE_LOG_INFO("Random unit vector: (" + std::to_string(random_vec.x) + ", " + 
+                 std::to_string(random_vec.y) + ", " + std::to_string(random_vec.z) + ")");
+    
+    // Test file utils
+    std::string test_dir = "test_output";
+    if (are::create_directory(test_dir)) {
+        ARE_LOG_INFO("Created directory: " + test_dir);
+        
+        std::string test_file = test_dir + "/test.txt";
+        std::string content = "Hello, Aurora Rendering Engine!";
+        
+        if (are::write_string_to_file(test_file, content)) {
+            ARE_LOG_INFO("Wrote test file: " + test_file);
+            
+            std::string read_content = are::read_file_to_string(test_file);
+            if (read_content == content) {
+                ARE_LOG_INFO("File read/write test passed");
+            } else {
+                ARE_LOG_ERROR("File content mismatch");
+            }
+        }
+    }
+    
+    // Test image I/O (create a simple test image)
+    are::ImageData test_image;
+    test_image.width_ = 256;
+    test_image.height_ = 256;
+    test_image.channels_ = 3;
+    test_image.data_.resize(256 * 256 * 3);
+    
+    // Create gradient
+    for (int y = 0; y < 256; ++y) {
+        for (int x = 0; x < 256; ++x) {
+            int idx = (y * 256 + x) * 3;
+            test_image.data_[idx + 0] = static_cast<uint8_t>(x);
+            test_image.data_[idx + 1] = static_cast<uint8_t>(y);
+            test_image.data_[idx + 2] = static_cast<uint8_t>((x + y) / 2);
+        }
+    }
+    
+    std::string image_file = test_dir + "/gradient.png";
+    if (are::save_image(image_file, test_image)) {
+        ARE_LOG_INFO("Saved test image: " + image_file);
+    }
+}
+
+int main() {
+	// Initialize engine
+    if (!are::initialize()) {
+        std::cerr << "Failed to initialize Aurora Rendering Engine" << std::endl;
+        return -1;
+    }
+    
+    ARE_LOG_INFO("Starting Phase 1 verification tests...");
+    
+    // Run tests
+    test_core_modules();
+    test_utils_modules();
+    test_platform_modules();
+    
+    // Print profiler results
+    are::Profiler::print_results();
+    
+    ARE_LOG_INFO("All Phase 1 tests completed!");
+    
+    // Shutdown engine
+    are::shutdown();
+    
+    return 0;
+}

examples/01_hello_triangle/CMakeLists.txt

@@ -0,0 +1,2 @@
+# examples/01_hello_triangle/CMakeLists.txt
+add_are_example(hello_triangle main.cpp)

examples/02_cornell_box/CMakeLists.txt

@@ -0,0 +1,2 @@
+# examples/02_cornell_box/CMakeLists.txt
+add_are_example(cornell_box main.cpp)

examples/03_material_showcase/CMakeLists.txt

@@ -0,0 +1,2 @@
+# examples/03_material_showcase/CMakeLists.txt
+add_are_example(material_showcase main.cpp)

examples/04performance_test/CMakeLists.txt

@@ -0,0 +1,2 @@
+# examples/04_performance_test/CMakeLists.txt
+add_are_example(performance_test main.cpp)

examples/CMakeLists.txt

@@ -0,0 +1,16 @@
+# examples/CMakeLists.txt
+
+# Helper function to create example targets
+function(add_are_example EXAMPLE_NAME)
+    add_executable(${EXAMPLE_NAME} ${ARGN})
+    target_link_libraries(${EXAMPLE_NAME} PRIVATE are)
+    set_target_properties(${EXAMPLE_NAME} PROPERTIES
+        RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/bin/examples
+    )
+endfunction()
+
+# Add subdirectories for each example
+add_subdirectory(01_hello_triangle)
+add_subdirectory(02_cornell_box)
+add_subdirectory(03_material_showcase)
+add_subdirectory(04_performance_test)

experiments/Request.md

@@ -1,84 +0,0 @@
-C++实现一个简易的康奈尔盒子渲染器，但是不基于传统的光线追踪算法，而是一种类似的基于面片及纹理的步进式变换渲染算法(也就是说它的渲染是以面片而非射线作为处理单位的)，其描述如下：
-将实际渲染画面抽象至场景中，然后遍历所有面片，对于所有面片，将其渲染出的纹理变换粘贴至viewport的指定像素中，如果需要计算反射、AO等信息，则以遍历到的面片为第一人称viewport，渲染该viewport下的所有面片，并将相交到的面片变换拉伸（其实只需要按图片像素直接拉伸即可）至当前面片的current纹理上，最后递归总结出整体画面。概括地说，就是递归地遍历所有面片，并将当前正在处理的面片作为current viewport，然后将相机原点关于当前这个面片进行对称（模拟光线的反射行为），将可能会映射到当前面片上的所有面片的纹理进行变换扭曲，附加到当前面片的纹理上，返回给上一级递归函数栈进行继续的变换，从而实现金属的反射效果，对于漫反射效果，不进行递归，而是直接返回当前纹理。当前实现版本要求只使用三角形面片（方便实现和扩展），因此算法将Camera viewport作为场景中的两个三角形面片进行渲染，然后将这两个三角形的纹理直接输出到图片中。
-对于这个算法，有几点需要注意的地方： 
-
-1. 在遍历物体的时候，需要考虑到物体渲染的覆盖关系。对于覆盖关系，我有一个临时解决方案，即遍历获取到可能会投射在viewport上的所有物体的列表后，由远到近进行渲染，则这部分的时间复杂度为O(nlogn)（遍历所有投射的物体为n，可以考虑使用优先队列维护由远到近的关系，为logn，整合时间复杂度为nlogn） 
-2. AO等特性、漫反射等内容可能需要特化计算，但是你可以先忽略这些内容，专注于实现基本的面片纹理变换和渲染功能
-给出单个可以编译执行的C++文件，不考虑文件大小和代码行数，优先实现如上所说的所有功能，生成的图片写入PPM即可
-对于当前这轮对话，AO等特性可能涉及到采样内容，因此你无需实现，我将会后续进行编写。
-对于康奈尔盒子，你需要实现一个拥有四壁的Cornell Box和两个具有金属材质特性（镜面反射）的一蓝一黄的盒子的场景并渲染。另外，有一个必须要注意的事情就是，在代码实现中，对于Camera的渲染不应该按Ray发射计算颜色（否则会和传统光线追踪思路雷同），而是根据相机原点和viewport生成当前viewport的视锥体并遍历面片进行相交检测，之后对遍历到的面片进行反射（对称相机原点）之后调用该面片的当前函数进行递归，然后**直接把它返回的纹理贴到当前面片的当前纹理中**。
-我接下来会给你一个实现思路，请你按照如下思路实现代码：
-1. 你需要实现Vec3等基本数据结构。
-2. 实现Triangle类及相关运算（如triangle与triangle的相交等运算）
-3. 实现Camera类及相关运算（Camera存储相机原点及两个Viewport三角形，这个类的render函数不实现逻辑，仅调用两次渲染函数并将两个三角形的纹理转储至PPM）
-4. 实现渲染函数renderTriangleWithTriangle，传入三角形面片列表及相机原点和当前面片(以当前面片作为viewport)，该函数首先检查材质类型，假如是Diffuse漫反射类型则直接返回材质纹理，如果是Reflective镜面反射类型的话，则需要根据物体纹理进行计算，首先初始化当前面片在指定相机原点下将会显示出的纹理图片，根据传入的viewport原点和当前面片的三个点计算出视锥体（注意这个视锥体顶部是被削平的），然后遍历所有物体，检测它们跟当前视锥体是否相交或（被）包围，并将是的面片存储进一个列表（建议存指针，速度快），然后对这个列表根据距离进行排序（由远到近），之后遍历这个列表，对于列表中的每个面片，递归调用它们的renderTriangleWithTriangle函数获取它们应该显示出的纹理，之后根据目标面片的三个点和原点的连线与当前面片（viewport）的交点计算出目标面片将会映射到当前面片上的三个点，之后根据这三个点直接对材质进行拉伸变形，然后写入函数最开始定义的纹理图片中（可以考虑加入反走样），遍历完列表中的所有面片之后就可以返回当前的纹理图片了，关于函数的终止条件，可以定为当当前纹理投影在最终幕布上的面积大小小于某个阈值时停止递归（比如1~5个像素点大小，关于当前面片纹理图片初始化的时候设定的像素大小，你可以给renderTriangleWithTriangle这个函数加个表示预估长宽的参数）。
-
-
-
-V2:
-C++实现一个康奈尔盒子渲染器，采用基于三角形面片的投影纹理映射递归算法。该算法的核心思想是：将每个面片视为一个微型视口，通过递归投影变换组合纹理，模拟光线传播效果。
-
-### 算法原理
-1. **基础概念**：
-   - 场景由三角形面片构成，每个面片包含：几何信息、纹理、材质属性
-   - 相机由原点位置和两个三角形面片（左、右视口）定义
-   - 渲染过程从相机视口面片开始，递归处理可能影响最终图像的场景面片
-
-2. **递归投影流程**：
-   对于当前处理的面片（称为"当前视口面片"）：
-   a. 确定从相机原点通过当前视口面片可见的空间区域（一个平截头体）
-   b. 找出与该区域相交的所有场景面片
-   c. 对每个相交面片，根据其材质执行相应投影操作
-   d. 将投影结果累积到输出图像
-
-3. **材质处理逻辑**：
-   - **相机视口材质**：作为递归起点，不直接贡献颜色，只组织后续渲染
-   - **漫反射材质**：单次投影，将面片纹理变换到最终图像平面
-   - **金属反射材质**：两次投影，先投影到图像平面，再递归处理反射内容
-
-### 关键实现细节
-
-1. **投影变换计算**：
-   对于面片A投影到面片B，需要计算从A纹理坐标到B纹理坐标的投影矩阵。
-   这涉及：
-   - 计算A到相机原点的透视投影
-   - 计算从该投影到B平面的投影变换
-   - 组合变换得到最终纹理映射
-
-2. **视锥体相交检测**：
-   对于三角形T和相机原点O，定义视锥体为O与T形成的三棱锥。
-   另一个三角形与之相交的判断标准：至少一个顶点在视锥体内或与视锥体边界相交。
-
-3. **递归反射处理**：
-   对于金属面片M：
-   a. 计算相机原点O关于M平面的镜像点O'
-   b. 以O'为新原点，M为新视口面片
-   c. 递归渲染O'通过M可见的场景内容
-   d. 将结果与M的纹理混合后投影到上一级
-
-4. **覆盖关系处理**：
-   采用画家算法：在每个递归层级，按面片到视口平面的距离从远到近处理。
-   实现时可在收集到相交面片后排序处理。
-
-5. **终止条件**：
-   当被投影面片在目标图像上的覆盖区域小于阈值（如4个像素）时停止递归。
-   避免无限递归和性能问题。
-
-### 具体实现要求
-
-1. **数据结构**：
-   - Vec3：三维向量，支持点积、叉积、归一化等运算
-   - Triangle：三角形，包含三个顶点、纹理坐标、材质信息
-   - Material：材质定义，包含类型（漫反射/金属）、纹理颜色、反射率等
-   - Image：图像类，支持像素读写，输出PPM格式
-
-2. **核心函数**：
-   ```cpp
-   // 主渲染函数
-   void renderTriangle(
-       const Triangle& viewportTri,    // 当前视口三角形
-       const Vec3& cameraOrigin,       // 当前相机原点
-       const Triangle& targetTri,      // 目标纹理三角形（最终图像平面）
-       Image& outputImage,             // 输出图像
-       int recursionDepth = 0          // 递归深度控制
-   );

experiments/Thinking.txt

@@ -1,2 +0,0 @@
-我现在有一个与光线追踪类似，但是效率优于传统光线追踪的算法，它的反射、折射等计算以面片为单位进行处理，而不是光线追踪的像素作为单位。其核心模块如下：
-1. 首先是追踪模块，该模块是整个算法的核心，你可以在当前阶段使用一个函数实现。该函数有几个参数，分别是当前面片、

experiments/counter.sh

@@ -1,264 +0,0 @@
-#!/usr/bin/env bash
-# 代码行数统计器 - 增强版 (Bash 版)
-# 尽量等效还原原 PowerShell 脚本功能与输出
-
-set -uo pipefail
-
-# 彩色输出映射（接近 PS 的颜色名）
-declare -A COLOR_MAP=(
-  ["Cyan"]="\e[36m"
-  ["Green"]="\e[32m"
-  ["Yellow"]="\e[33m"
-  ["Magenta"]="\e[35m"
-  ["Blue"]="\e[34m"
-  ["Red"]="\e[31m"
-  ["White"]="\e[97m"
-  ["Gray"]="\e[90m"
-  ["DarkYellow"]="\e[33m"
-  ["Reset"]="\e[0m"
-)
-
-# 配置：类型 → 扩展列表、颜色
-# 说明：扩展以 "*.ext" 形式书写；内部会派生出 ".ext" 用于匹配
-declare -A TYPE_COLOR
-declare -A TYPE_EXTS
-TYPE_COLOR["C/C++"]="Cyan"
-TYPE_EXTS["C/C++"]='*.c *.cpp *.cc *.cxx *.h *.hpp *.hh *.hxx'
-
-TYPE_COLOR["C#"]="Green"
-TYPE_EXTS["C#"]='*.cs'
-
-TYPE_COLOR["Java"]="Yellow"
-TYPE_EXTS["Java"]='*.java'
-
-TYPE_COLOR["Python"]="Magenta"
-TYPE_EXTS["Python"]='*.py *.pyw'
-
-TYPE_COLOR["JavaScript"]="Blue"
-TYPE_EXTS["JavaScript"]='*.js *.jsx *.ts *.tsx'
-
-TYPE_COLOR["Web"]="Red"
-TYPE_EXTS["Web"]='*.html *.htm *.css *.scss *.less *.sass'
-
-TYPE_COLOR["Shell"]="White"
-TYPE_EXTS["Shell"]='*.sh *.bash *.ps1 *.psm1 *.psd1'
-
-TYPE_COLOR["配置/数据"]="Gray"
-TYPE_EXTS["配置/数据"]='*.xml *.json *.yaml *.yml *.ini *.cfg *.config'
-
-TYPE_COLOR["其他代码"]="DarkYellow"
-TYPE_EXTS["其他代码"]='*.go *.rs *.rb *.php *.swift *.kt *.scala'
-
-# 构建 扩展后缀(.ext) → 类型 的快速映射
-declare -A SUFFIX_TYPE
-for t in "${!TYPE_EXTS[@]}"; do
-  for ext in ${TYPE_EXTS[$t]}; do
-    # 将 "*.py" 转为 ".py"；统一小写匹配
-    suf=".${ext#*.}"
-    suf="$(printf '%s' "$suf" | tr '[:upper:]' '[:lower:]')"
-    SUFFIX_TYPE["$suf"]="$t"
-  done
-done
-
-# 标题
-printf "%b========================================%b\n" "${COLOR_MAP[White]}" "${COLOR_MAP[Reset]}"
-printf "%b       代码行数统计%b\n" "${COLOR_MAP[Yellow]}" "${COLOR_MAP[Reset]}"
-printf "%b========================================%b\n\n" "${COLOR_MAP[White]}" "${COLOR_MAP[Reset]}"
-
-# 当前目录
-current_dir="$(pwd)"
-printf "%b扫描目录: %s%b\n\n" "${COLOR_MAP[Gray]}" "$current_dir" "${COLOR_MAP[Reset]}"
-
-# 统计变量
-total_lines=0
-total_files=0
-declare -A type_files
-declare -A type_lines
-start_time_ns=$(date +%s%N)
-
-# 初始化类型统计
-for t in "${!TYPE_EXTS[@]}"; do
-  type_files["$t"]=0
-  type_lines["$t"]=0
-done
-
-# 收集全部文件（按各扩展累积）
-# 说明：尽量贴近 PS：按类型/扩展多次递归收集再合并
-# 使用 -iname 实现大小写不敏感匹配
-mapfile -d '' ALL_FILES < <(
-  {
-    for t in "${!TYPE_EXTS[@]}"; do
-      for ext in ${TYPE_EXTS[$t]}; do
-        find "$current_dir" -type f -iname "${ext}" -print0 2>/dev/null
-      done
-    done
-  } | awk -v RS='\0' '!seen[$0]++{printf "%s\0",$0}' # 去重，保持与 PS 相近的行为
-)
-
-total_to_process=${#ALL_FILES[@]}
-
-if (( total_to_process == 0 )); then
-  printf "%b未找到任何源代码文件！%b\n" "${COLOR_MAP[Red]}" "${COLOR_MAP[Reset]}"
-  printf "%b请检查当前目录是否包含源代码文件。%b\n" "${COLOR_MAP[Gray]}" "${COLOR_MAP[Reset]}"
-  exit 0
-fi
-
-printf "%b找到 %d 个文件需要处理...%b\n\n" "${COLOR_MAP[Gray]}" "$total_to_process" "${COLOR_MAP[Reset]}"
-
-# 简易进度显示
-processed=0
-
-# 为格式对齐做准备
-pad_right() { # $1=text $2=width
-  local s="$1" w="$2" len=${#1}
-  if (( len < w )); then printf "%s%*s" "$s" $((w-len)) ""; else printf "%s" "$s"; fi
-}
-
-# 统计循环
-for file in "${ALL_FILES[@]}"; do
-  ((processed++))
-  # 百分比
-  percent=$(( processed * 100 / total_to_process ))
-
-  # 进度行（覆盖式）
-  base="${file##*/}"
-  printf "\r正在统计代码行数 | 处理文件: %s | 已处理: %d / %d | %3d%%" \
-    "$(pad_right "$base" 30)" "$processed" "$total_to_process" "$percent"
-
-  # 读取行数
-  lines=0
-  if ! lines=$(wc -l <"$file" 2>/dev/null); then
-    # 模拟 PS 的警告输出（另起一行）
-    printf "\n%b  警告: 无法读取文件 %s%b\n" "${COLOR_MAP[Red]}" "$base" "${COLOR_MAP[Reset]}"
-    continue
-  fi
-
-  (( total_lines += lines ))
-  (( total_files++ ))
-
-  # 分类归属（根据扩展名后缀）
-  fname_lower="$(printf '%s' "$file" | tr '[:upper:]' '[:lower:]')"
-  # 取 ".ext"（含点），若没有点，则设为空
-  suffix=""
-  if [[ "$fname_lower" == *.* ]]; then
-    suffix=".${fname_lower##*.}"
-  fi
-
-  t="${SUFFIX_TYPE[$suffix]:-}"
-  if [[ -n "$t" ]]; then
-    (( type_files["$t"] += 1 ))
-    (( type_lines["$t"] += lines ))
-  fi
-done
-
-# 完成进度条
-printf "\n"
-
-# 耗时
-end_time_ns=$(date +%s%N)
-duration_ns=$(( end_time_ns - start_time_ns ))
-# 转为 mm:ss.mmm
-total_ms=$(( duration_ns / 1000000 ))
-mm=$(( (total_ms / 60000) % 60 ))
-ss=$(( (total_ms / 1000) % 60 ))
-ms=$(( total_ms % 1000 ))
-
-# 详细统计标题
-printf "\n%b========================================%b\n" "${COLOR_MAP[White]}" "${COLOR_MAP[Reset]}"
-printf "%b            统计结果详情%b\n" "${COLOR_MAP[Yellow]}" "${COLOR_MAP[Reset]}"
-printf "%b========================================%b\n\n" "${COLOR_MAP[White]}" "${COLOR_MAP[Reset]}"
-
-# 按类型按行数降序输出
-# 收集有文件的类型
-types_sorted=()
-while IFS= read -r line; do
-  types_sorted+=("$line")
-done < <(
-  for t in "${!TYPE_EXTS[@]}"; do
-    if (( type_files["$t"] > 0 )); then
-      printf "%s\t%d\n" "$t" "${type_lines["$t"]}"
-    fi
-  done | sort -k2,2nr | awk -F'\t' '{print $1}'
-)
-
-for t in "${types_sorted[@]}"; do
-  files=${type_files["$t"]}
-  lines=${type_lines["$t"]}
-  if (( files > 0 )); then
-    percent=0
-    if (( total_lines > 0 )); then
-      # 保留两位小数
-      percent=$(awk -v a="$lines" -v b="$total_lines" 'BEGIN{printf("%.2f", (b>0)?(a*100.0/b):0)}')
-    fi
-    color_name="${TYPE_COLOR[$t]}"
-    color="${COLOR_MAP[$color_name]}"
-    reset="${COLOR_MAP[Reset]}"
-    printf "%b%-15s 文件: %4d  行数: %8d  (%6s%%)%b\n" "$color" "$t" "$files" "$lines" "$percent" "$reset"
-  fi
-done
-
-# 汇总
-printf "\n%b========================================%b\n" "${COLOR_MAP[White]}" "${COLOR_MAP[Reset]}"
-printf "%b汇总统计%b\n" "${COLOR_MAP[Yellow]}" "${COLOR_MAP[Reset]}"
-printf "%b========================================%b\n" "${COLOR_MAP[White]}" "${COLOR_MAP[Reset]}"
-
-printf "%b总文件数:  %d%b\n" "${COLOR_MAP[Cyan]}" "$total_files" "${COLOR_MAP[Reset]}"
-printf "%b总代码行:  %d%b\n" "${COLOR_MAP[Green]}" "$total_lines" "${COLOR_MAP[Reset]}"
-printf "%b处理文件:  %d / %d%b\n" "${COLOR_MAP[Gray]}" "$processed" "$total_to_process" "${COLOR_MAP[Reset]}"
-printf "%b统计耗时:  %02d:%02d.%03d%b\n" "${COLOR_MAP[Magenta]}" "$mm" "$ss" "$ms" "${COLOR_MAP[Reset]}"
-
-# 文件大小统计
-total_size_bytes=0
-# 使用 stat 读取字节数（兼容 GNU/ BSD）
-stat_size() {
-  local f="$1"
-  if stat --version >/dev/null 2>&1; then
-    stat -c %s -- "$f"
-  else
-    stat -f %z -- "$f"
-  fi
-}
-for f in "${ALL_FILES[@]}"; do
-  if sz=$(stat_size "$f" 2>/dev/null); then
-    (( total_size_bytes += sz ))
-  fi
-done
-avg_size_bytes=0
-if (( total_files > 0 )); then
-  avg_size_bytes=$(( total_size_bytes / total_files ))
-fi
-to_mb=$(awk -v b="$total_size_bytes" 'BEGIN{printf("%.2f", b/1024/1024)}')
-avg_kb=$(awk -v b="$avg_size_bytes"  'BEGIN{printf("%.2f", b/1024)}')
-
-printf "%b总文件大小: %s MB%b\n" "${COLOR_MAP[Blue]}" "$to_mb" "${COLOR_MAP[Reset]}"
-printf "%b平均文件大小: %s KB%b\n" "${COLOR_MAP[Blue]}" "$avg_kb" "${COLOR_MAP[Reset]}"
-
-# 导出 CSV
-printf "\n"
-read -r -p "是否导出统计结果到CSV文件? (Y/N) " exportChoice
-if [[ "$exportChoice" == "Y" || "$exportChoice" == "y" ]]; then
-  timestamp="$(date +%Y%m%d_%H%M%S)"
-  csv_path="${current_dir}/code_stats_${timestamp}.csv"
-  {
-    # 头部
-    printf "文件类型,文件数量,代码行数,占比百分比\n"
-    for t in "${types_sorted[@]}"; do
-      files=${type_files["$t"]}
-      lines=${type_lines["$t"]}
-      if (( files > 0 )); then
-        percent=$(awk -v a="$lines" -v b="$total_lines" 'BEGIN{printf("%.2f", (b>0)?(a*100.0/b):0)}')
-        # 以 CSV 形式输出（简单场景，t 不含逗号）
-        printf "%s,%d,%d,%s\n" "$t" "$files" "$lines" "$percent"
-      fi
-    done
-    # 汇总行
-    printf "总计,%d,%d,100\n" "$total_files" "$total_lines"
-  } > "$csv_path"
-  printf "%b统计结果已导出到: %s%b\n" "${COLOR_MAP[Green]}" "$csv_path" "${COLOR_MAP[Reset]}"
-fi
-
-# 任意键退出
-printf "\n%b统计完成！按任意键退出...%b" "${COLOR_MAP[Gray]}" "${COLOR_MAP[Reset]}"
-# shellcheck disable=SC2162
-read -rsn1 _ 2>/dev/null || true
-printf "\n"

experiments/output_fixed.ppm

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-P3
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-255
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experiments/polymorphism/CRTP.cpp

@@ -1,71 +0,0 @@
-// crtp_test.cpp
-#include <iostream>
-#include <vector>
-#include <chrono>
-
-template<typename Derived>
-struct Material {
-    void render() const {
-        static_cast<const Derived*>(this)->renderImpl();
-    }
-};
-
-void process(const auto& mat) {
-    mat.render();
-}
-
-struct Metal : Material<Metal> {
-    float data[4];
-    void renderImpl() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Lambertian : Material<Lambertian> {
-    float data[4];
-    void renderImpl() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Plastic : Material<Plastic> {
-    float data[4];
-    void renderImpl() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Glass : Material<Glass> {
-    float data[4];
-    void renderImpl() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-int main() {
-    const size_t count = 400000;
-    std::vector<Metal> metals(count / 4);
-    std::vector<Lambertian> lambertians(count / 4);
-    std::vector<Plastic> plastics(count / 4);
-    std::vector<Glass> glasses(count / 4);
-	std::vector<Material<Metal>*> material_ptrs;
-
-    auto start_time = std::chrono::high_resolution_clock::now();
-
-	for(const auto& m : metals) m.render();
-	for(const auto& l : lambertians) l.render();
-	for(const auto& p : plastics) p.render();
-	for(const auto& g : glasses) g.render();
-
-    // for (const auto& m : metals) process(m);
-    // for (const auto& l : lambertians) process(l);
-    // for (const auto& p : plastics) process(p);
-    // for (const auto& g : glasses) process(g);
-
-    auto end_time = std::chrono::high_resolution_clock::now();
-
-    auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end_time - start_time);
-    std::cout << "CRTP Static Polymorphism Execution Time: " << duration.count() << " µs\n";
-
-    return 0;
-}

experiments/polymorphism/ecs.cpp

@@ -1,76 +0,0 @@
-// ecs_test.cpp
-#include <iostream>
-#include <vector>
-#include <chrono>
-#include <algorithm>
-
-enum class MaterialType {
-    Metal,
-    Lambertian,
-    Plastic,
-    Glass
-};
-
-struct MaterialComponent {
-    MaterialType type;
-    float data[4]; // 模拟复杂状态
-};
-
-void renderMetal(const MaterialComponent&) {
-    asm volatile("" ::: "memory"); // 防止编译器过度优化，模拟运算
-}
-
-void renderLambertian(const MaterialComponent&) {
-    asm volatile("" ::: "memory");
-}
-
-void renderPlastic(const MaterialComponent&) {
-    asm volatile("" ::: "memory");
-}
-
-void renderGlass(const MaterialComponent&) {
-    asm volatile("" ::: "memory");
-}
-
-void processECS(std::vector<MaterialComponent>& materials) {
-    // 按类型排序
-    // std::sort(materials.begin(), materials.end(),
-    //           [](const MaterialComponent& a, const MaterialComponent& b) {
-    //               return a.type < b.type;
-    //           });
-
-    size_t start = 0;
-    for (size_t i = 1; i <= materials.size(); ++i) {
-        if (i == materials.size() || materials[i].type != materials[start].type) {
-            for (size_t j = start; j < i; ++j) {
-                switch (materials[j].type) {
-                    case MaterialType::Metal: renderMetal(materials[j]); break;
-                    case MaterialType::Lambertian: renderLambertian(materials[j]); break;
-                    case MaterialType::Plastic: renderPlastic(materials[j]); break;
-                    case MaterialType::Glass: renderGlass(materials[j]); break;
-                }
-            }
-            start = i;
-        }
-    }
-}
-
-int main() {
-    const size_t count = 400000;
-    std::vector<MaterialComponent> materials(count);
-
-    for (size_t i = 0; i < count; ++i) {
-        materials[i].type = static_cast<MaterialType>(i % 4);
-        for (int j = 0; j < 4; ++j)
-            materials[i].data[j] = static_cast<float>(i + j);
-    }
-
-    auto start_time = std::chrono::high_resolution_clock::now();
-    processECS(materials);
-    auto end_time = std::chrono::high_resolution_clock::now();
-
-    auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end_time - start_time);
-    std::cout << "ECS Execution Time: " << duration.count() << " µs\n";
-
-    return 0;
-}

experiments/polymorphism/empty_test.cpp

@@ -1,22 +0,0 @@
-// baseline_asm.cpp
-#include <iostream>
-#include <chrono>
-#include <cstddef>
-
-int main() {
-    const size_t count = 400000;
-
-    auto start_time = std::chrono::high_resolution_clock::now();
-
-    for (size_t i = 0; i < count; ++i) {
-        asm volatile("" ::: "memory");
-    }
-
-    auto end_time = std::chrono::high_resolution_clock::now();
-
-    auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end_time - start_time);
-    std::cout << "Baseline (400000x asm volatile(\"\" ::: \"memory\")) Time: "
-              << duration.count() << " us\n";
-
-    return 0;
-}

experiments/polymorphism/stdvariant.cpp

@@ -1,66 +0,0 @@
-// variant_test.cpp
-#include <iostream>
-#include <vector>
-#include <variant>
-#include <chrono>
-
-struct Metal {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Lambertian {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Plastic {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Glass {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-using Material = std::variant<Metal, Lambertian, Plastic, Glass>;
-
-void visitMaterial(Material& mat) {
-    std::visit([](auto& m) {
-        m.render();
-    }, mat);
-}
-
-int main() {
-    const size_t count = 400000;
-    std::vector<Material> materials(count);
-
-    for (size_t i = 0; i < count; ++i) {
-        switch (i % 4) {
-            case 0: materials[i] = Metal{{static_cast<float>(i), 0, 0, 0}}; break;
-            case 1: materials[i] = Lambertian{{static_cast<float>(i), 0, 0, 0}}; break;
-            case 2: materials[i] = Plastic{{static_cast<float>(i), 0, 0, 0}}; break;
-            case 3: materials[i] = Glass{{static_cast<float>(i), 0, 0, 0}}; break;
-        }
-    }
-
-    auto start_time = std::chrono::high_resolution_clock::now();
-    for (auto& mat : materials) {
-        visitMaterial(mat);
-    }
-    auto end_time = std::chrono::high_resolution_clock::now();
-
-    auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end_time - start_time);
-    std::cout << "std::variant Execution Time: " << duration.count() << " µs\n";
-
-    return 0;
-}

experiments/polymorphism/test_record.txt

@@ -1,79 +0,0 @@
-// 确认代码
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> ls
-compiled  CRTP.cpp  ecs.cpp  stdvariant.cpp  type_erase.cpp  virtual_function.cpp
-
-// 编译代码
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 CRTP.cpp -o compiled/CRTP_O0 -O0
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 CRTP.cpp -o compiled/CRTP_O2 -O2
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 ecs.cpp -o compiled/ecs_O0 -O0
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 ecs.cpp -o compiled/ecs_O2 -O2
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 stdvariant.cpp -o compiled/stdvariant_O0 -O0
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 stdvariant.cpp -o compiled/stdvariant_O2 -O2
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 type_erase.cpp -o compiled/type_erase_O0 -O0
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 type_erase.cpp -o compiled/type_erase_O2 -O2
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 virtual_function.cpp -o compiled/virtual_function_O0 -O0
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> g++ -std=c++20 virtual_function.cpp -o compiled/virtual_function_O2 -O2
-
-// 确认编译结果正确
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism]
-└-> cd compiled/
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ls
-CRTP_O0  ecs_O0  stdvariant_O0  type_erase_O0  virtual_function_O0
-CRTP_O2  ecs_O2  stdvariant_O2  type_erase_O2  virtual_function_O2
-
-// 运行并记录时间
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./CRTP_O0
-CRTP Static Polymorphism Execution Time: 6629 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./CRTP_O2
-CRTP Static Polymorphism Execution Time: 88 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./ecs_O0
-ECS Execution Time: 23662 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./ecs_O2
-ECS Execution Time: 2847 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./stdvariant_O0
-std::variant Execution Time: 35229 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./stdvariant_O2
-std::variant Execution Time: 373 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./type_erase_O0
-Type Erasure (std::function) Execution Time: 23404 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./type_erase_O2
-Type Erasure (std::function) Execution Time: 3712 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./virtual_function_O0
-Virtual Function Execution Time: 20982 µs
-┌[Ternary_Operator@/toDataDrive/ARE/experiments/polymorphism/compiled]
-└-> ./virtual_function_O2
-Virtual Function Execution Time: 6044 µs
-
-// 综合测试成绩:
-// CRTP: -O0->6629 µs, -O2->88 µs
-// std::variant: -O0->35229 µs, -O2->373 µs
-// Type Erasure: -O0->23404 µs, -O2->3712 µs
-// ECS: -O0->23662 µs, -O2->2847 µs
-// Virtual Function: -O0->20982 µs, -O2->6044 µs
-
-// -O0: CRTP > Virtual Function > Type Erasure ~= ECS > std::variant
-// -O2: CRTP > std::variant > ECS > Type Erasure > Virtual Function
-
-
-// 综合考虑，引擎采用CRTP多态实现方法。

experiments/polymorphism/tosmethod.cpp

@@ -1,192 +0,0 @@
-#include <chrono>
-#include <cstddef>
-#include <iostream>
-#include <stdexcept>
-#include <type_traits>
-#include <unordered_map>
-#include <utility>
-#include <variant>
-#include <vector>
-
-// -----------------------------
-// 1) 类型擦除：一个稳定的“句柄”类型
-//    - 内部：void* + render_fn + destroy_fn
-//    - move-only，语义类似 unique_ptr
-// -----------------------------
-struct MaterialHandle {
-    using RenderFn = void (*)(const void*) noexcept;
-    using DestroyFn = void (*)(void*) noexcept;
-
-    void* ptr = nullptr;
-    RenderFn render_fn = nullptr;
-    DestroyFn destroy_fn = nullptr;
-
-    MaterialHandle() = default;
-
-    MaterialHandle(void* p, RenderFn r, DestroyFn d) noexcept
-        : ptr(p), render_fn(r), destroy_fn(d) {}
-
-    MaterialHandle(const MaterialHandle&) = delete;
-    MaterialHandle& operator=(const MaterialHandle&) = delete;
-
-    MaterialHandle(MaterialHandle&& other) noexcept
-        : ptr(other.ptr), render_fn(other.render_fn), destroy_fn(other.destroy_fn) {
-        other.ptr = nullptr;
-        other.render_fn = nullptr;
-        other.destroy_fn = nullptr;
-    }
-
-    MaterialHandle& operator=(MaterialHandle&& other) noexcept {
-        if (this == &other) return *this;
-        reset();
-        ptr = other.ptr;
-        render_fn = other.render_fn;
-        destroy_fn = other.destroy_fn;
-        other.ptr = nullptr;
-        other.render_fn = nullptr;
-        other.destroy_fn = nullptr;
-        return *this;
-    }
-
-    ~MaterialHandle() { reset(); }
-
-    void reset() noexcept {
-        if (ptr) {
-            destroy_fn(ptr);
-        }
-        ptr = nullptr;
-        render_fn = nullptr;
-        destroy_fn = nullptr;
-    }
-
-    void render() const noexcept {
-        // 假设创建时已填好函数指针
-        render_fn(ptr);
-    }
-
-    template <class T, class... Args>
-    static MaterialHandle make(Args&&... args) {
-        T* obj = new T(std::forward<Args>(args)...);
-        return MaterialHandle{
-            obj,
-            [](const void* p) noexcept {
-                static_cast<const T*>(p)->render();
-            },
-            [](void* p) noexcept {
-                delete static_cast<T*>(p);
-            },
-        };
-    }
-};
-
-// 你要求用 std::variant：但不枚举 Metal/Lambertian/...
-// variant 只放一个稳定包装类型即可，永远不需要随扩展修改。
-using Material = std::variant<std::monostate, MaterialHandle>;
-
-// -----------------------------
-// 2) 注册工厂：通过 id -> creator() 创建 Material
-// -----------------------------
-class MaterialFactory {
-public:
-    using Creator = Material (*)();
-
-    static MaterialFactory& instance() {
-        static MaterialFactory f;
-        return f;
-    }
-
-    void reg(int id, Creator creator) {
-        creators_[id] = creator;
-    }
-
-    Material create(int id) const {
-        auto it = creators_.find(id);
-        if (it == creators_.end()) {
-            throw std::runtime_error("MaterialFactory: unknown material id");
-        }
-        return (it->second)();
-    }
-
-private:
-    std::unordered_map<int, Creator> creators_;
-};
-
-template <class T>
-struct MaterialRegistrar {
-    explicit MaterialRegistrar(int id) {
-        // 无捕获 lambda 可转换为函数指针 Creator
-        MaterialFactory::instance().reg(id, []() -> Material {
-            return Material{MaterialHandle::make<T>()};
-        });
-    }
-};
-
-// -----------------------------
-// 3) “派生类”：不继承基类、不写虚函数
-//    只需要提供 render() 即可
-// -----------------------------
-struct Metal {
-    float data[4]{};
-    void render() const noexcept { asm volatile("" ::: "memory"); }
-};
-
-struct Lambertian {
-    float data[4]{};
-    void render() const noexcept { asm volatile("" ::: "memory"); }
-};
-
-struct Plastic {
-    float data[4]{};
-    void render() const noexcept { asm volatile("" ::: "memory"); }
-};
-
-struct Glass {
-    float data[4]{};
-    void render() const noexcept { asm volatile("" ::: "memory"); }
-};
-
-// -----------------------------
-// 4) 注册：扩展新类型时，最多“注册一下”
-//    你也可以把注册放到各自 .cpp 里，做到模块化插拔。
-// -----------------------------
-static MaterialRegistrar<Metal> reg_metal{0};
-static MaterialRegistrar<Lambertian> reg_lambertian{1};
-static MaterialRegistrar<Plastic> reg_plastic{2};
-static MaterialRegistrar<Glass> reg_glass{3};
-
-// -----------------------------
-// 5) 实验：创建 + 调用 render() 测时
-// -----------------------------
-int main() {
-    const std::size_t count = 400000;
-
-    std::vector<Material> materials;
-    materials.reserve(count);
-
-    for (std::size_t i = 0; i < count; ++i) {
-        const int id = static_cast<int>(i % 4);
-        materials.emplace_back(MaterialFactory::instance().create(id));
-    }
-
-    const auto start_time = std::chrono::high_resolution_clock::now();
-
-    for (const auto& mat : materials) {
-        std::visit(
-            [](const auto& x) noexcept {
-                using X = std::decay_t<decltype(x)>;
-                if constexpr (std::is_same_v<X, std::monostate>) {
-                    // 空对象：不做任何事
-                } else {
-                    x.render(); // 函数指针调用，不走虚表
-                }
-            },
-            mat);
-    }
-
-    const auto end_time = std::chrono::high_resolution_clock::now();
-    const auto duration =
-        std::chrono::duration_cast<std::chrono::microseconds>(end_time - start_time);
-
-    std::cout << "Variant+Registry Execution Time: " << duration.count() << " us\n";
-    return 0;
-}

experiments/polymorphism/type_erase.cpp

@@ -1,74 +0,0 @@
-// type_erasure_test.cpp
-#include <iostream>
-#include <vector>
-#include <functional>
-#include <chrono>
-
-struct Metal {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Lambertian {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Plastic {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Glass {
-    float data[4];
-    void render() const {
-        asm volatile("" ::: "memory");
-    }
-};
-
-int main() {
-    const size_t count = 400000;
-    std::vector<std::function<void()>> renderers(count);
-
-    for (size_t i = 0; i < count; ++i) {
-        switch (i % 4) {
-            case 0: {
-                Metal m;
-                renderers[i] = [m]() { m.render(); };
-                break;
-            }
-            case 1: {
-                Lambertian l;
-                renderers[i] = [l]() { l.render(); };
-                break;
-            }
-            case 2: {
-                Plastic p;
-                renderers[i] = [p]() { p.render(); };
-                break;
-            }
-            case 3: {
-                Glass g;
-                renderers[i] = [g]() { g.render(); };
-                break;
-            }
-        }
-    }
-
-    auto start_time = std::chrono::high_resolution_clock::now();
-    for (const auto& fn : renderers) {
-        fn();
-    }
-    auto end_time = std::chrono::high_resolution_clock::now();
-
-    auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end_time - start_time);
-    std::cout << "Type Erasure (std::function) Execution Time: " << duration.count() << " µs\n";
-
-    return 0;
-}

experiments/polymorphism/virtual_function.cpp

@@ -1,64 +0,0 @@
-// virtual_test.cpp
-#include <iostream>
-#include <vector>
-#include <chrono>
-#include <memory>
-
-class Material {
-public:
-    virtual ~Material() = default;
-    virtual void render() const = 0;
-};
-
-struct Metal : public Material {
-    float data[4];
-    void render() const override {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Lambertian : public Material {
-    float data[4];
-    void render() const override {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Plastic : public Material {
-    float data[4];
-    void render() const override {
-        asm volatile("" ::: "memory");
-    }
-};
-
-struct Glass : public Material {
-    float data[4];
-    void render() const override {
-        asm volatile("" ::: "memory");
-    }
-};
-
-int main() {
-    const size_t count = 400000;
-    std::vector<std::unique_ptr<Material>> materials(count);
-
-    for (size_t i = 0; i < count; ++i) {
-        switch(i % 4) {
-            case 0: materials[i] = std::make_unique<Metal>(); break;
-            case 1: materials[i] = std::make_unique<Lambertian>(); break;
-            case 2: materials[i] = std::make_unique<Plastic>(); break;
-            case 3: materials[i] = std::make_unique<Glass>(); break;
-        }
-    }
-
-    auto start_time = std::chrono::high_resolution_clock::now();
-    for (const auto& mat : materials) {
-        mat->render();
-    }
-    auto end_time = std::chrono::high_resolution_clock::now();
-
-    auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end_time - start_time);
-    std::cout << "Virtual Function Execution Time: " << duration.count() << " µs\n";
-
-    return 0;
-}

experiments/rt.cpp

@@ -1,403 +0,0 @@
-#define _USE_MATH_DEFINES
-/*
- *  Cornell Box —— 步进式三角渲染 + 金属反射 + AO + 漫反射染色
- *  g++ cornell_box_tri_diffuse.cpp -std=c++11 -O2 -o cornell_box_tri_diffuse
- */
-#include <algorithm>
-#include <chrono>
-#include <cmath>
-#include <cstdio>
-#include <iomanip>
-#include <iostream>
-#include <random>
-#include <vector>
-
-constexpr float EPS = 1e-5f;
-constexpr float INF = 1e30f;
-
-// ---------------------- 基础代数 ----------------------
-struct Vec3 {
-	float x, y, z;
-	Vec3(float xx = 0, float yy = 0, float zz = 0) : x(xx), y(yy), z(zz) {
-	}
-	Vec3 operator+(const Vec3 &b) const {
-		return Vec3(x + b.x, y + b.y, z + b.z);
-	}
-	Vec3 operator-(const Vec3 &b) const {
-		return Vec3(x - b.x, y - b.y, z - b.z);
-	}
-	Vec3 operator*(float s) const {
-		return Vec3(x * s, y * s, z * s);
-	}
-	Vec3 operator/(float s) const {
-		return Vec3(x / s, y / s, z / s);
-	}
-	float dot(const Vec3 &b) const {
-		return x * b.x + y * b.y + z * b.z;
-	}
-	Vec3 cross(const Vec3 &b) const {
-		return Vec3(y * b.z - z * b.y,
-			z * b.x - x * b.z,
-			x * b.y - y * b.x);
-	}
-	float length() const {
-		return std::sqrt(x * x + y * y + z * z);
-	}
-	Vec3 normalized() const {
-		return (*this) * (1.0f / length());
-	}
-	// 生成局部正交系，把(0,0,1)转到normal方向
-	Vec3 rotateToHemisphere(const Vec3 &normal, float u, float v) const {
-		Vec3 up = fabs(normal.z) < 0.999f ? Vec3(0, 0, 1) : Vec3(1, 0, 0);
-		Vec3 tangent = normal.cross(up).normalized();
-		Vec3 bitangent = normal.cross(tangent);
-		return tangent * u + bitangent * v + normal * std::sqrt(std::max(0.f, 1 - u * u - v * v));
-	}
-};
-
-// ---------------------- 颜色 ----------------------
-struct Color {
-	float r, g, b;
-	Color(float rr = 0, float gg = 0, float bb = 0) : r(rr), g(gg), b(bb) {
-	}
-	Color operator*(float s) const {
-		return Color(r * s, g * s, b * s);
-	}
-	Color operator*(const Color &c) const {
-		return Color(r * c.r, g * c.g, b * c.b);
-	}
-	Color operator+(const Color &c) const {
-		return Color(r + c.r, g + c.g, b + c.b);
-	}
-	void clamp() {
-		r = std::fmax(0.0f, std::fmin(1.0f, r));
-		g = std::fmax(0.0f, std::fmin(1.0f, g));
-		b = std::fmax(0.0f, std::fmin(1.0f, b));
-	}
-};
-
-// ---------------------- 纹理 ----------------------
-struct Texture {
-	virtual Color at(float u, float v) const = 0;
-	virtual ~Texture() {
-	}
-};
-struct SolidTexture : Texture {
-	Color c;
-	SolidTexture(Color cc) : c(cc) {
-	}
-	Color at(float, float) const override {
-		return c;
-	}
-};
-struct CheckerTexture : Texture {
-	Color a, b;
-	float scale;
-	CheckerTexture(Color c1, Color c2, float s = 10) : a(c1), b(c2), scale(s) {
-	}
-	Color at(float u, float v) const override {
-		int xx = int(std::floor(u * scale)), yy = int(std::floor(v * scale));
-		return ((xx + yy) % 2 == 0) ? a : b;
-	}
-};
-
-enum MaterialType {
-	MAT_DIFFUSE,
-	MAT_METAL
-};
-
-// ---------------------- 三角形 ----------------------
-struct Tri {
-	Vec3 v0, v1, v2;
-	Vec3 n;
-	Vec3 uv0, uv1, uv2;
-	Texture *tex;
-	MaterialType mat;
-	float reflect_ratio;
-	Color metal_tint;
-	Tri(Vec3 a, Vec3 b, Vec3 c, Vec3 t0, Vec3 t1, Vec3 t2, Texture *tx,
-		MaterialType m = MAT_DIFFUSE, float reflr = 0.f, Color tint = Color())
-		: v0(a), v1(b), v2(c), uv0(t0), uv1(t1), uv2(t2), tex(tx), mat(m), reflect_ratio(reflr), metal_tint(tint) {
-		n = (v1 - v0).cross(v2 - v0).normalized();
-	}
-	bool intersect(const Vec3 &o, const Vec3 &d, float &t, float &u, float &v) const {
-		Vec3 e1 = v1 - v0, e2 = v2 - v0, h = d.cross(e2), s = o - v0;
-		float a = e1.dot(h);
-		if (std::fabs(a) < EPS)
-			return false;
-		float f = 1.f / a;
-		u = f * s.dot(h);
-		if (u < 0 || u > 1)
-			return false;
-		Vec3 q = s.cross(e1);
-		v = f * d.dot(q);
-		if (v < 0 || u + v > 1)
-			return false;
-		t = f * e2.dot(q);
-		return t > EPS;
-	}
-	void bary2uv(float b0, float b1, float b2, float &u, float &v) const {
-		u = uv0.x * b0 + uv1.x * b1 + uv2.x * b2;
-		v = uv0.y * b0 + uv1.y * b1 + uv2.y * b2;
-	}
-};
-
-// ---------------------- 场景 ----------------------
-struct Scene {
-	std::vector<Tri> tris;
-	std::vector<Texture *> textures;
-	~Scene() {
-		for (Texture *t : textures)
-			delete t;
-	}
-	Scene() {
-		Texture *red = new SolidTexture(Color(0.8, 0.15, 0.15)),
-				*green = new SolidTexture(Color(0.15, 0.8, 0.15)),
-				*white = new SolidTexture(Color(0.8, 0.8, 0.8)),
-				*checker = new CheckerTexture(Color(0.9, 0.9, 0.9), Color(0.1, 0.1, 0.1), 8),
-				*meta = new SolidTexture(Color(0.93, 0.95, 1.0));
-		textures = { red, green, white, checker, meta };
-		pushQuad(-1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, red, MAT_METAL, 0.90f);
-		pushQuad(1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, green, MAT_METAL, 0.90f);
-		pushQuad(-1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, checker, MAT_METAL, 0.90f);
-		pushQuad(-1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, white, MAT_METAL, 0.90f);
-		pushQuad(-1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, white, MAT_METAL, 0.90f);
-		pushBox(-0.5f, -0.9f, 0.4f, 0.15f, white, MAT_METAL, 0.90f, Color(0.92, 0.94, 1.0));
-		pushBox(0.0f, -0.9f, 0.4f, 0.10f, meta, MAT_METAL, 0.90f, Color(0.92, 0.94, 1.0));
-	}
-	void pushQuad(float x0, float y0, float z0, float x1, float y1, float z1,
-		float x2, float y2, float z2, float x3, float y3, float z3,
-		Texture *t, MaterialType mat = MAT_DIFFUSE, float rrat = 0.0f, Color tint = Color()) {
-		tris.emplace_back(Vec3(x0, y0, z0), Vec3(x1, y1, z1), Vec3(x2, y2, z2),
-			Vec3(0, 0, 0), Vec3(1, 0, 0), Vec3(1, 1, 0), t, mat, rrat, tint);
-		tris.emplace_back(Vec3(x0, y0, z0), Vec3(x2, y2, z2), Vec3(x3, y3, z3),
-			Vec3(0, 0, 0), Vec3(1, 1, 0), Vec3(0, 1, 0), t, mat, rrat, tint);
-	}
-	void pushBox(float cx, float cy, float cz, float r, Texture *t,
-		MaterialType mat = MAT_DIFFUSE, float rrat = 0.0f, Color tint = Color()) {
-		float X[2] = { cx - r, cx + r }, Y[2] = { cy - r, cy + r }, Z[2] = { cz - r, cz + r };
-		pushQuad(X[0], Y[0], Z[0], X[1], Y[0], Z[0], X[1], Y[1], Z[0], X[0], Y[1], Z[0], t, mat, rrat, tint);
-		pushQuad(X[0], Y[0], Z[1], X[1], Y[0], Z[1], X[1], Y[1], Z[1], X[0], Y[1], Z[1], t, mat, rrat, tint);
-		pushQuad(X[0], Y[0], Z[0], X[0], Y[1], Z[0], X[0], Y[1], Z[1], X[0], Y[0], Z[1], t, mat, rrat, tint);
-		pushQuad(X[1], Y[0], Z[0], X[1], Y[1], Z[0], X[1], Y[1], Z[1], X[1], Y[0], Z[1], t, mat, rrat, tint);
-		pushQuad(X[0], Y[1], Z[0], X[1], Y[1], Z[0], X[1], Y[1], Z[1], X[0], Y[1], Z[1], t, mat, rrat, tint);
-		pushQuad(X[0], Y[0], Z[0], X[1], Y[0], Z[0], X[1], Y[0], Z[1], X[0], Y[0], Z[1], t, mat, rrat, tint);
-	}
-};
-
-// ---------------------- 视口 ----------------------
-struct Viewport {
-	int w, h;
-	std::vector<Color> pixels;
-	Viewport(int W, int H) : w(W), h(H), pixels(W * H) {
-	}
-	void set(int x, int y, const Color &c) {
-		if (x >= 0 && y >= 0 && x < w && y < h)
-			pixels[y * w + x] = c;
-	}
-	Color get(int x, int y) const {
-		return pixels[y * w + x];
-	}
-};
-
-struct HitRec {
-	int tri = -1;
-	float t = INF, u = 0, v = 0;
-};
-
-// ---------------------- 相交查询 ----------------------
-HitRec intersect(const Scene &scene, const Vec3 &o, const Vec3 &d) {
-	HitRec ret;
-	for (int i = 0; i < scene.tris.size(); ++i) {
-		float t, u, v;
-		if (scene.tris[i].intersect(o, d, t, u, v) && t < ret.t) {
-			ret = { i, t, u, v };
-		}
-	}
-	return ret;
-}
-
-// ---------------------- AO ----------------------
-float computeAO(const Scene &scene, const Vec3 &p, const Vec3 &n, std::mt19937 &rng) {
-	const int N = 32;
-	std::uniform_real_distribution<float> dist(0, 1);
-	int unoccluded = 0;
-	for (int i = 0; i < N; ++i) {
-		float u = dist(rng), v = dist(rng);
-		float theta = 2 * M_PI * u;
-		float phi = std::acos(1 - 2 * v);
-		float x = std::sin(phi) * std::cos(theta);
-		float y = std::sin(phi) * std::sin(theta);
-		float z = std::cos(phi);
-		if (z < 0)
-			z = -z;
-		Vec3 hemi(x, y, z);
-		Vec3 axis = Vec3(0, 0, 1).cross(n);
-		float sa = axis.length(), ca = Vec3(0, 0, 1).dot(n);
-		Vec3 d = hemi;
-		if (sa > EPS) {
-			axis = axis.normalized();
-			float ang = std::acos(ca);
-			d = d * std::cos(ang) + axis.cross(d) * std::sin(ang) + axis * (axis.dot(d)) * (1 - std::cos(ang));
-		}
-		d = d.normalized();
-		if (intersect(scene, p + n * EPS, d).tri == -1)
-			unoccluded++;
-	}
-	return 0.25f + 0.75f * (unoccluded / float(N));
-}
-
-// ---------------------- 路径追踪 ----------------------
-Color trace(const Scene &scene, const Vec3 &o, const Vec3 &d,
-	std::mt19937 &rng, int depth = 0) {
-	HitRec rec = intersect(scene, o, d);
-	if (rec.tri == -1)
-		return Color(0.06, 0.09, 0.14);
-
-	const Tri &tri = scene.tris[rec.tri];
-	Vec3 p = tri.v0 * (1 - rec.u - rec.v) + tri.v1 * rec.u + tri.v2 * rec.v;
-	float uu, vv;
-	tri.bary2uv(1 - rec.u - rec.v, rec.u, rec.v, uu, vv);
-	Color albedo = tri.tex->at(uu, vv);
-
-	// AO
-	float ao = computeAO(scene, p, tri.n, rng);
-
-	// 金属反射
-	if (tri.mat == MAT_METAL && depth == 0) {
-		Vec3 view = (o - p).normalized();
-		Vec3 refl = view - tri.n * 2 * view.dot(tri.n);
-		Color reflected = trace(scene, p + tri.n * EPS, refl, rng, depth + 1);
-		Color ret = albedo * (1 - tri.reflect_ratio) + reflected * tri.reflect_ratio * tri.metal_tint;
-		ret = ret * ao;
-		ret.clamp();
-		return ret;
-	}
-
-	// 漫反射
-	if (tri.mat == MAT_DIFFUSE) {
-		const int samples = 32;
-		const int max_bounce = 3;
-		Color accum;
-		std::uniform_real_distribution<float> dist(0, 1);
-		for (int s = 0; s < samples; ++s) {
-			// 余弦重要性采样
-			float r1 = dist(rng), r2 = dist(rng);
-			float phi = 2 * M_PI * r1;
-			float r2s = std::sqrt(r2);
-			Vec3 local(r2s * std::cos(phi), r2s * std::sin(phi), std::sqrt(1 - r2));
-			Vec3 world = Vec3(0, 0, 1).rotateToHemisphere(tri.n, local.x, local.y);
-			Vec3 newOrigin = p + tri.n * EPS;
-			Color throughput = albedo;
-			int b = 0;
-			Vec3 dir = world;
-			while (b < max_bounce) {
-				HitRec bRec = intersect(scene, newOrigin, dir);
-				if (bRec.tri == -1)
-					break;
-				const Tri &bTri = scene.tris[bRec.tri];
-				Vec3 bP = bTri.v0 * (1 - bRec.u - bRec.v) + bTri.v1 * bRec.u + bTri.v2 * bRec.v;
-				float bu, bv;
-				bTri.bary2uv(1 - bRec.u - bRec.v, bRec.u, bRec.v, bu, bv);
-				Color bAlbedo = bTri.tex->at(bu, bv);
-				throughput = throughput * bAlbedo;
-				// Russian Roulette
-				float p = std::fmax(throughput.r, std::fmax(throughput.g, throughput.b));
-				if (dist(rng) > p)
-					break;
-				throughput = throughput * (1 / p);
-				// 继续
-				Vec3 newDir;
-				if (bTri.mat == MAT_METAL) {
-					Vec3 view = (Vec3() - dir).normalized();
-					newDir = view - bTri.n * 2 * view.dot(bTri.n);
-				} else {
-					// 继续余弦采样
-					float nr1 = dist(rng), nr2 = dist(rng);
-					float nphi = 2 * M_PI * nr1;
-					float nr2s = std::sqrt(nr2);
-					Vec3 nlocal(nr2s * std::cos(nphi), nr2s * std::sin(nphi), std::sqrt(1 - nr2));
-					newDir = Vec3(0, 0, 1).rotateToHemisphere(bTri.n, nlocal.x, nlocal.y);
-				}
-				newOrigin = bP + bTri.n * EPS;
-				dir = newDir;
-				b++;
-			}
-			accum = accum + throughput;
-		}
-		albedo = albedo + accum * (1.0f / samples);
-	}
-
-	albedo = albedo * ao;
-	albedo.clamp();
-	return albedo;
-}
-
-// ---------------------- 渲染 ----------------------
-void render(const Scene &scene, const Vec3 &camPos, const Vec3 &camTarget,
-	const Vec3 &camUp, float fov, Viewport &vp) {
-	Vec3 forward = (camTarget - camPos).normalized();
-	Vec3 right = forward.cross(camUp).normalized();
-	Vec3 up = right.cross(forward);
-	float aspect = float(vp.w) / vp.h;
-	float scale = std::tan(fov * 0.5f * M_PI / 180.f);
-
-	auto t0 = std::chrono::high_resolution_clock::now();
-	uint64_t totalRays = 0;
-
-	std::random_device rd;
-	std::vector<std::mt19937> rngs(vp.h);
-	for (int y = 0; y < vp.h; ++y)
-		rngs[y] = std::mt19937(rd() + y);
-
-	for (int y = 0; y < vp.h; ++y) {
-		if (y % 16 == 0) {
-			auto t1 = std::chrono::high_resolution_clock::now();
-			float elapsed = std::chrono::duration<float>(t1 - t0).count();
-			float mrays = (totalRays / 1e6f) / (elapsed + 0.001f);
-			std::cerr << "\rProgress: " << std::setw(3) << y << "/" << vp.h
-					  << " rows  (" << std::fixed << std::setprecision(1)
-					  << (100.f * y / vp.h) << "%)  "
-					  << mrays << " MRays/s" << std::flush;
-		}
-		for (int x = 0; x < vp.w; ++x) {
-			float fx = (2 * (x + 0.5f) / vp.w - 1) * aspect * scale;
-			float fy = (1 - 2 * (y + 0.5f) / vp.h) * scale;
-			Vec3 dir = (forward + right * fx + up * fy).normalized();
-			Color col = trace(scene, camPos, dir, rngs[y], 0);
-			col.clamp();
-			vp.set(x, y, col);
-			totalRays += 32 + 32; // AO samples + diffuse samples
-		}
-	}
-	std::cerr << "\nRender complete.\n";
-}
-
-// ---------------------- 输出 ----------------------
-void writePPM(const Viewport &vp, const char *fn) {
-	FILE *f = fopen(fn, "wb");
-	fprintf(f, "P6\n%d %d\n255\n", vp.w, vp.h);
-	for (int y = 0; y < vp.h; ++y)
-		for (int x = 0; x < vp.w; ++x) {
-			Color c = vp.get(x, y);
-			c.clamp();
-			unsigned char r = (unsigned char)(std::pow(c.r, 1 / 2.2f) * 255);
-			unsigned char g = (unsigned char)(std::pow(c.g, 1 / 2.2f) * 255);
-			unsigned char b = (unsigned char)(std::pow(c.b, 1 / 2.2f) * 255);
-			fwrite(&r, 1, 1, f);
-			fwrite(&g, 1, 1, f);
-			fwrite(&b, 1, 1, f);
-		}
-	fclose(f);
-}
-
-// ---------------------- main ----------------------
-int main() {
-	int w = 512, h = 512;
-	Scene scene;
-	Viewport vp(w, h);
-	render(scene, Vec3(0, 0, 4), Vec3(0, 0, 0), Vec3(0, 1, 0), 50.f, vp);
-	writePPM(vp, "out_diffuse.ppm");
-	std::cout << "Saved to out_diffuse.ppm\n";
-	return 0;
-}

experiments/rt10.cpp

@@ -1,933 +0,0 @@
-#include <algorithm>
-#include <array>
-#include <cassert>
-#include <cmath>
-#include <cstdint>
-#include <fstream>
-#include <functional>
-#include <iomanip>
-#include <iostream>
-#include <limits>
-#include <memory>
-#include <numeric>
-#include <string>
-#include <unordered_set>
-#include <utility>
-#include <vector>
-
-static constexpr double kEps = 1e-9;
-
-static inline double clampd(double x, double lo, double hi) {
-    return std::max(lo, std::min(hi, x));
-}
-static inline int clampi(int x, int lo, int hi) {
-    return std::max(lo, std::min(hi, x));
-}
-
-struct Vec2 {
-    double x = 0, y = 0;
-    Vec2() = default;
-    Vec2(double x_, double y_) : x(x_), y(y_) {}
-    Vec2 operator+(const Vec2& r) const { return {x + r.x, y + r.y}; }
-    Vec2 operator-(const Vec2& r) const { return {x - r.x, y - r.y}; }
-    Vec2 operator*(double s) const { return {x * s, y * s}; }
-};
-
-static inline double cross2(const Vec2& a, const Vec2& b) {
-    return a.x * b.y - a.y * b.x;
-}
-
-struct Vec3 {
-    double x = 0, y = 0, z = 0;
-    Vec3() = default;
-    Vec3(double x_, double y_, double z_) : x(x_), y(y_), z(z_) {}
-
-    Vec3 operator+(const Vec3& r) const { return {x + r.x, y + r.y, z + r.z}; }
-    Vec3 operator-(const Vec3& r) const { return {x - r.x, y - r.y, z - r.z}; }
-    Vec3 operator*(double s) const { return {x * s, y * s, z * s}; }
-    Vec3 operator/(double s) const { return {x / s, y / s, z / s}; }
-
-    Vec3& operator+=(const Vec3& r) { x += r.x; y += r.y; z += r.z; return *this; }
-};
-
-static inline Vec3 mul(const Vec3& a, const Vec3& b) {
-    return {a.x * b.x, a.y * b.y, a.z * b.z};
-}
-static inline double dot(const Vec3& a, const Vec3& b) {
-    return a.x * b.x + a.y * b.y + a.z * b.z;
-}
-static inline Vec3 cross(const Vec3& a, const Vec3& b) {
-    return {
-        a.y * b.z - a.z * b.y,
-        a.z * b.x - a.x * b.z,
-        a.x * b.y - a.y * b.x
-    };
-}
-static inline double length(const Vec3& v) {
-    return std::sqrt(dot(v, v));
-}
-static inline Vec3 normalize(const Vec3& v) {
-    double len = length(v);
-    if (len < kEps) return {0, 0, 0};
-    return v / len;
-}
-static inline Vec3 lerp(const Vec3& a, const Vec3& b, double t) {
-    return a * (1.0 - t) + b * t;
-}
-
-struct Image {
-    int w = 0, h = 0;
-    std::vector<Vec3> pix;
-
-    Image() = default;
-    Image(int w_, int h_, Vec3 fill = {0,0,0}) : w(w_), h(h_), pix((size_t)w_ * (size_t)h_, fill) {}
-
-    Vec3 get(int x, int y) const {
-        x = clampi(x, 0, w - 1);
-        y = clampi(y, 0, h - 1);
-        return pix[(size_t)y * (size_t)w + (size_t)x];
-    }
-    void set(int x, int y, const Vec3& c) {
-        if (x < 0 || x >= w || y < 0 || y >= h) return;
-        pix[(size_t)y * (size_t)w + (size_t)x] = c;
-    }
-
-    // UV: [0,1]x[0,1], v向下（0为顶端），便于图像坐标。
-    Vec3 sampleBilinear(double u, double v) const {
-        u = clampd(u, 0.0, 1.0);
-        v = clampd(v, 0.0, 1.0);
-        double fx = u * (w - 1);
-        double fy = v * (h - 1);
-        int x0 = (int)std::floor(fx);
-        int y0 = (int)std::floor(fy);
-        int x1 = std::min(x0 + 1, w - 1);
-        int y1 = std::min(y0 + 1, h - 1);
-        double tx = fx - x0;
-        double ty = fy - y0;
-
-        Vec3 c00 = get(x0, y0);
-        Vec3 c10 = get(x1, y0);
-        Vec3 c01 = get(x0, y1);
-        Vec3 c11 = get(x1, y1);
-
-        Vec3 cx0 = lerp(c00, c10, tx);
-        Vec3 cx1 = lerp(c01, c11, tx);
-        return lerp(cx0, cx1, ty);
-    }
-
-    void writePPM(const std::string& path, double gamma = 2.2) const {
-        std::ofstream out(path, std::ios::binary);
-        if (!out) {
-            throw std::runtime_error("Failed to open output file: " + path);
-        }
-        out << "P6\n" << w << " " << h << "\n255\n";
-        for (int y = 0; y < h; ++y) {
-            for (int x = 0; x < w; ++x) {
-                Vec3 c = pix[(size_t)y * (size_t)w + (size_t)x];
-                c.x = clampd(c.x, 0.0, 1.0);
-                c.y = clampd(c.y, 0.0, 1.0);
-                c.z = clampd(c.z, 0.0, 1.0);
-                // gamma
-                c.x = std::pow(c.x, 1.0 / gamma);
-                c.y = std::pow(c.y, 1.0 / gamma);
-                c.z = std::pow(c.z, 1.0 / gamma);
-
-                unsigned char rgb[3] = {
-                    (unsigned char)clampi((int)std::lround(c.x * 255.0), 0, 255),
-                    (unsigned char)clampi((int)std::lround(c.y * 255.0), 0, 255),
-                    (unsigned char)clampi((int)std::lround(c.z * 255.0), 0, 255),
-                };
-                out.write((char*)rgb, 3);
-            }
-        }
-    }
-};
-
-enum class MaterialType {
-    Diffuse,
-    Reflective,
-};
-
-struct Material {
-    MaterialType type = MaterialType::Diffuse;
-    Vec3 albedo = {1,1,1};     // 基色/金属色
-    double metalness = 0.0;    // Reflective时用于混合反射与基色（0..1）
-};
-
-struct Triangle {
-    int id = -1;
-    Vec3 p[3];
-    Vec2 uv[3];
-    Material* mat = nullptr;
-
-    Vec3 normal() const {
-        return normalize(cross(p[1] - p[0], p[2] - p[0]));
-    }
-    Vec3 centroid() const {
-        return (p[0] + p[1] + p[2]) / 3.0;
-    }
-};
-
-// ---------------------------
-// 3D barycentric (点在三角形平面上时使用)
-// ---------------------------
-static inline std::array<double,3> barycentric3D(const Vec3& P, const Triangle& T) {
-    Vec3 v0 = T.p[1] - T.p[0];
-    Vec3 v1 = T.p[2] - T.p[0];
-    Vec3 v2 = P - T.p[0];
-
-    double d00 = dot(v0, v0);
-    double d01 = dot(v0, v1);
-    double d11 = dot(v1, v1);
-    double d20 = dot(v2, v0);
-    double d21 = dot(v2, v1);
-
-    double denom = d00 * d11 - d01 * d01;
-    if (std::fabs(denom) < kEps) return { -1, -1, -1 };
-
-    double v = (d11 * d20 - d01 * d21) / denom;
-    double w = (d00 * d21 - d01 * d20) / denom;
-    double u = 1.0 - v - w;
-    return {u, v, w};
-}
-
-static inline bool pointInTriangle3D(const Vec3& P, const Triangle& T, double eps = 1e-8) {
-    auto bc = barycentric3D(P, T);
-    return bc[0] >= -eps && bc[1] >= -eps && bc[2] >= -eps;
-}
-
-// ---------------------------
-// 2D point-in-triangle (UV空间)
-// ---------------------------
-static inline bool pointInTriangle2D(const Vec2& P, const Vec2& A, const Vec2& B, const Vec2& C, double eps = 1e-10) {
-    // 允许任意绕序：用同向性判断
-    Vec2 v0 = B - A;
-    Vec2 v1 = C - B;
-    Vec2 v2 = A - C;
-    Vec2 w0 = P - A;
-    Vec2 w1 = P - B;
-    Vec2 w2 = P - C;
-
-    double c0 = cross2(v0, w0);
-    double c1 = cross2(v1, w1);
-    double c2 = cross2(v2, w2);
-
-    bool hasNeg = (c0 < -eps) || (c1 < -eps) || (c2 < -eps);
-    bool hasPos = (c0 > eps) || (c1 > eps) || (c2 > eps);
-    return !(hasNeg && hasPos);
-}
-
-// ---------------------------
-// 线段-三角形相交（Moller-Trumbore，作为Triangle运算的一部分）
-// 注意：本项目核心渲染不依赖每像素Ray，但几何工具函数仍可提供。
-// ---------------------------
-static inline bool segmentIntersectsTriangle(const Vec3& A, const Vec3& B, const Triangle& T, double* outT = nullptr) {
-    Vec3 dir = B - A;
-    Vec3 e1 = T.p[1] - T.p[0];
-    Vec3 e2 = T.p[2] - T.p[0];
-    Vec3 pvec = cross(dir, e2);
-    double det = dot(e1, pvec);
-
-    if (std::fabs(det) < kEps) return false;
-    double invDet = 1.0 / det;
-
-    Vec3 tvec = A - T.p[0];
-    double u = dot(tvec, pvec) * invDet;
-    if (u < -kEps || u > 1.0 + kEps) return false;
-
-    Vec3 qvec = cross(tvec, e1);
-    double v = dot(dir, qvec) * invDet;
-    if (v < -kEps || u + v > 1.0 + kEps) return false;
-
-    double t = dot(e2, qvec) * invDet;
-    if (t < -kEps || t > 1.0 + kEps) return false; // segment: t in [0,1]
-    if (outT) *outT = t;
-    return true;
-}
-
-static inline bool trianglesIntersectSimple(const Triangle& A, const Triangle& B) {
-    // 简化版：只做边-面检测（对一般非共面情况足够）
-    for (int i = 0; i < 3; ++i) {
-        Vec3 a0 = A.p[i];
-        Vec3 a1 = A.p[(i+1)%3];
-        if (segmentIntersectsTriangle(a0, a1, B)) return true;
-    }
-    for (int i = 0; i < 3; ++i) {
-        Vec3 b0 = B.p[i];
-        Vec3 b1 = B.p[(i+1)%3];
-        if (segmentIntersectsTriangle(b0, b1, A)) return true;
-    }
-    // 顶点包含（共面等情况粗略兜底）
-    if (pointInTriangle3D(A.p[0], B) || pointInTriangle3D(B.p[0], A)) return true;
-    return false;
-}
-
-// ---------------------------
-// 把点关于三角形所在平面镜像（对称）
-// ---------------------------
-static inline Vec3 reflectPointAcrossTrianglePlane(const Vec3& P, const Triangle& T) {
-    Vec3 n = T.normal();
-    // 平面点选T.p[0]
-    double dist = dot(n, P - T.p[0]); // 有符号距离（n已归一）
-    return P - n * (2.0 * dist);
-}
-
-// ---------------------------
-// 以origin->point的射线与viewport三角形平面相交，计算交点，并得到对应的viewport UV（允许在UV外）
-// 要求：交点必须在 origin 到 point 之间（t in (0,1)），即 viewport 平面在两者之间。
-// ---------------------------
-static inline bool projectPointToViewportUV(
-    const Vec3& origin,
-    const Vec3& point,
-    const Triangle& viewport,
-    Vec2& outViewportUV,
-    Vec3* outWorldHit = nullptr,
-    double* outLineT = nullptr
-) {
-    Vec3 n = viewport.normal();
-    Vec3 dir = point - origin;
-    double denom = dot(n, dir);
-    if (std::fabs(denom) < kEps) return false;
-
-    double t = dot(n, viewport.p[0] - origin) / denom;
-    // 关键：只接受平面位于 origin->point 之间的情况
-    if (!(t > 1e-7 && t < 1.0 - 1e-7)) return false;
-
-    Vec3 hit = origin + dir * t;
-    auto bc = barycentric3D(hit, viewport);
-    if (bc[0] < -1e6 || bc[1] < -1e6 || bc[2] < -1e6) return false;
-
-    // UV使用线性插值（即使点在三角形外也能给出UV，用于后续裁剪）
-    outViewportUV = viewport.uv[0] * bc[0] + viewport.uv[1] * bc[1] + viewport.uv[2] * bc[2];
-
-    if (outWorldHit) *outWorldHit = hit;
-    if (outLineT) *outLineT = t;
-    return true;
-}
-
-struct UVPairVertex {
-    Vec2 dstUV; // 在“当前viewport”的UV
-    Vec2 srcUV; // 在“被投影面片纹理”的UV
-};
-
-static inline double polygonAreaUV(const std::vector<UVPairVertex>& poly) {
-    // poly为凸多边形（裁剪结果），用shoelace
-    double a = 0.0;
-    for (size_t i = 0; i < poly.size(); ++i) {
-        const Vec2& p = poly[i].dstUV;
-        const Vec2& q = poly[(i + 1) % poly.size()].dstUV;
-        a += p.x * q.y - p.y * q.x;
-    }
-    return 0.5 * a;
-}
-
-static inline bool isInsideEdgeLeft(const Vec2& A, const Vec2& B, const Vec2& P, double eps = 1e-12) {
-    // 以A->B为边，左侧为内
-    return cross2(B - A, P - A) >= -eps;
-}
-
-static inline UVPairVertex intersectSegmentWithLine(
-    const UVPairVertex& S,
-    const UVPairVertex& E,
-    const Vec2& A,
-    const Vec2& B
-) {
-    // 使用有符号距离插值求交点：
-    // dist(P)=cross(B-A, P-A). dist=0在直线上
-    double dS = cross2(B - A, S.dstUV - A);
-    double dE = cross2(B - A, E.dstUV - A);
-    double t = dS / (dS - dE + 1e-30);
-    t = clampd(t, 0.0, 1.0);
-    UVPairVertex I;
-    I.dstUV = S.dstUV + (E.dstUV - S.dstUV) * t;
-    I.srcUV = S.srcUV + (E.srcUV - S.srcUV) * t;
-    return I;
-}
-
-// 将“投影后的目标三角形(带srcUV)”裁剪到viewport三角形(仅dstUV空间)内部
-static inline std::vector<UVPairVertex> clipPolygonToTriangle(
-    std::vector<UVPairVertex> poly,
-    const Vec2& C0,
-    const Vec2& C1,
-    const Vec2& C2
-) {
-    // 确保裁剪三角形绕序为CCW，使“左侧为内”成立
-    double triArea = cross2(C1 - C0, C2 - C0);
-    Vec2 A0 = C0, A1 = C1, A2 = C2;
-    if (triArea < 0.0) std::swap(A1, A2);
-
-    auto clipAgainstEdge = [&](const Vec2& A, const Vec2& B, std::vector<UVPairVertex> inPoly) {
-        std::vector<UVPairVertex> out;
-        if (inPoly.empty()) return out;
-        UVPairVertex S = inPoly.back();
-        bool S_inside = isInsideEdgeLeft(A, B, S.dstUV);
-        for (const auto& E : inPoly) {
-            bool E_inside = isInsideEdgeLeft(A, B, E.dstUV);
-            if (E_inside) {
-                if (!S_inside) out.push_back(intersectSegmentWithLine(S, E, A, B));
-                out.push_back(E);
-            } else if (S_inside) {
-                out.push_back(intersectSegmentWithLine(S, E, A, B));
-            }
-            S = E;
-            S_inside = E_inside;
-        }
-        return out;
-    };
-
-    poly = clipAgainstEdge(A0, A1, std::move(poly));
-    poly = clipAgainstEdge(A1, A2, std::move(poly));
-    poly = clipAgainstEdge(A2, A0, std::move(poly));
-    return poly;
-}
-
-static inline void rasterizeWarpTriangle(
-    Image& dst,
-    const Vec2& d0, const Vec2& d1, const Vec2& d2,
-    const Image& src,
-    const Vec2& s0, const Vec2& s1, const Vec2& s2,
-    bool overwrite = true
-) {
-    // dstUV/srcUV均为[0,1]附近（dstUV经过裁剪保证在dst三角形内）
-
-    auto uvToPixel = [&](const Vec2& uv) -> Vec2 {
-        return Vec2(uv.x * (dst.w - 1), uv.y * (dst.h - 1));
-    };
-
-    Vec2 p0 = uvToPixel(d0);
-    Vec2 p1 = uvToPixel(d1);
-    Vec2 p2 = uvToPixel(d2);
-
-    double minx = std::floor(std::min({p0.x, p1.x, p2.x}));
-    double maxx = std::ceil (std::max({p0.x, p1.x, p2.x}));
-    double miny = std::floor(std::min({p0.y, p1.y, p2.y}));
-    double maxy = std::ceil (std::max({p0.y, p1.y, p2.y}));
-
-    int x0 = clampi((int)minx, 0, dst.w - 1);
-    int x1 = clampi((int)maxx, 0, dst.w - 1);
-    int y0 = clampi((int)miny, 0, dst.h - 1);
-    int y1 = clampi((int)maxy, 0, dst.h - 1);
-
-    double area = cross2(p1 - p0, p2 - p0);
-    if (std::fabs(area) < 1e-12) return;
-
-    for (int y = y0; y <= y1; ++y) {
-        for (int x = x0; x <= x1; ++x) {
-            Vec2 P((double)x + 0.5, (double)y + 0.5);
-            // barycentric in pixel-space
-            double w0 = cross2(p1 - P, p2 - P) / area;
-            double w1 = cross2(p2 - P, p0 - P) / area;
-            double w2 = 1.0 - w0 - w1;
-
-            if (w0 < -1e-6 || w1 < -1e-6 || w2 < -1e-6) continue;
-
-            Vec2 suv = s0 * w0 + s1 * w1 + s2 * w2;
-            Vec3 sc = src.sampleBilinear(suv.x, suv.y);
-
-            if (overwrite) {
-                dst.set(x, y, sc);
-            } else {
-                Vec3 dc = dst.get(x, y);
-                dst.set(x, y, lerp(dc, sc, 0.5));
-            }
-        }
-    }
-}
-
-static inline void rasterizeWarpPolygonFan(
-    Image& dst,
-    const std::vector<UVPairVertex>& poly,
-    const Image& src,
-    bool overwrite = true
-) {
-    if (poly.size() < 3) return;
-    const auto& v0 = poly[0];
-    for (size_t i = 1; i + 1 < poly.size(); ++i) {
-        const auto& v1 = poly[i];
-        const auto& v2 = poly[i + 1];
-        rasterizeWarpTriangle(
-            dst,
-            v0.dstUV, v1.dstUV, v2.dstUV,
-            src,
-            v0.srcUV, v1.srcUV, v2.srcUV,
-            overwrite
-        );
-    }
-}
-
-// ---------------------------
-// 收集“可能投射到viewport三角形”的面片列表（指针），用于后续按距离排序（远到近）
-// 这里只用“任一顶点能投到viewport内部”作为候选判定（快），实际绘制时会做裁剪。
-// ---------------------------
-static inline std::vector<const Triangle*> collectCandidateTriangles(
-    const std::vector<Triangle>& scene,
-    const Vec3& origin,
-    const Triangle& viewport
-) {
-    std::vector<const Triangle*> out;
-    out.reserve(scene.size());
-
-    for (const auto& tri : scene) {
-        bool anyInside = false;
-        for (int i = 0; i < 3; ++i) {
-            Vec2 uv;
-            Vec3 hit;
-            if (!projectPointToViewportUV(origin, tri.p[i], viewport, uv, &hit, nullptr)) continue;
-            // 只有当交点在viewport三角形内部才算可能投射
-            if (pointInTriangle3D(hit, viewport, 1e-8)) {
-                anyInside = true;
-                break;
-            }
-        }
-        if (anyInside) out.push_back(&tri);
-    }
-    return out;
-}
-
-// ---------------------------
-// 将 targetTri 的纹理投影到 viewportTri 对应的 dstImage 上：
-// 1) 把targetTri三个顶点投到viewport平面，得到dstUV三点（允许在viewport外）
-// 2) 用Sutherland-Hodgman把投影三角形裁剪到viewport三角形内部
-// 3) 将裁剪结果多边形扇形三角化后，进行纹理拉伸/扭曲并写入dst
-// 返回：裁剪后投影区域的像素面积估计（用于递归终止与子纹理分辨率估计）
-// ---------------------------
-static inline double projectAndCompositeTriangleTexture(
-    Image& dstImage,
-    const Triangle& viewportTri,
-    const Vec3& origin,
-    const Triangle& targetTri,
-    const Image& targetTexture,
-    bool overwrite = true
-) {
-    Vec2 dstUV[3];
-    for (int i = 0; i < 3; ++i) {
-        Vec2 uv;
-        if (!projectPointToViewportUV(origin, targetTri.p[i], viewportTri, uv, nullptr, nullptr)) {
-            return 0.0; // 无法投影（平行或平面不在origin->point之间等）
-        }
-        dstUV[i] = uv;
-    }
-
-    std::vector<UVPairVertex> poly(3);
-    for (int i = 0; i < 3; ++i) {
-        poly[i].dstUV = dstUV[i];
-        poly[i].srcUV = targetTri.uv[i];
-    }
-
-    // 裁剪到viewport三角形UV边界内
-    std::vector<UVPairVertex> clipped = clipPolygonToTriangle(
-        std::move(poly),
-        viewportTri.uv[0], viewportTri.uv[1], viewportTri.uv[2]
-    );
-    if (clipped.size() < 3) return 0.0;
-
-    double areaUV = std::fabs(polygonAreaUV(clipped));
-    double areaPx = areaUV * (double)dstImage.w * (double)dstImage.h;
-
-    rasterizeWarpPolygonFan(dstImage, clipped, targetTexture, overwrite);
-    return areaPx;
-}
-
-// ---------------------------
-// 核心递归：renderTriangleWithTriangle
-// - 传入：scene、观察点origin、当前面片currentTri
-// - Diffuse：直接返回(填充)材质颜色纹理
-// - Reflective：
-//   1) origin关于currentTri平面镜像 -> mirroredOrigin
-//   2) 以currentTri作为viewport，从mirroredOrigin遍历其它面片，排序远->近
-//   3) 递归渲染其它面片得到其纹理
-//   4) 将其它面片纹理投影/裁剪/拉伸贴到currentTri纹理上
-//   5) 与基色按metalness混合并返回
-// 终止：深度上限 & 当前估计像素面积阈值 & 循环依赖保护（栈内id）
-// ---------------------------
-struct RenderConfig {
-    int maxDepth = 4;
-    double minAreaPxToRecurse = 4.0;   // 小于该像素面积就不再递归
-    int maxTriTexRes = 256;
-    int minTriTexRes = 16;
-    Vec3 envColor = {0.08, 0.08, 0.10};
-};
-
-static Image renderTriangleWithTriangle(
-    const std::vector<Triangle>& scene,
-    const Vec3& origin,
-    const Triangle& currentTri,
-    int texW,
-    int texH,
-    int depth,
-    double estimatedAreaPx,
-    std::vector<int>& recursionStack,
-    const RenderConfig& cfg
-) {
-    texW = clampi(texW, cfg.minTriTexRes, cfg.maxTriTexRes);
-    texH = clampi(texH, cfg.minTriTexRes, cfg.maxTriTexRes);
-
-    Vec3 baseColor = currentTri.mat ? currentTri.mat->albedo : Vec3(1,1,1);
-    Image base(texW, texH, baseColor);
-
-    if (!currentTri.mat || currentTri.mat->type == MaterialType::Diffuse) {
-        return base;
-    }
-
-    // 递归终止条件
-    if (depth >= cfg.maxDepth) return base;
-    if (estimatedAreaPx > 0.0 && estimatedAreaPx < cfg.minAreaPxToRecurse) return base;
-
-    // 防止循环递归（镜面对镜面等）
-    for (int id : recursionStack) {
-        if (id == currentTri.id) return base;
-    }
-    recursionStack.push_back(currentTri.id);
-
-    Vec3 mirroredOrigin = reflectPointAcrossTrianglePlane(origin, currentTri);
-
-    // 反射缓冲：初始为环境色（避免未命中区域全黑）
-    Image reflection(texW, texH, cfg.envColor);
-
-    // 找出可能投射到currentTri(viewport)的面片
-    std::vector<const Triangle*> candidates = collectCandidateTriangles(scene, mirroredOrigin, currentTri);
-
-    // 排序：远 -> 近
-    std::sort(candidates.begin(), candidates.end(), [&](const Triangle* a, const Triangle* b) {
-        double da = length(a->centroid() - mirroredOrigin);
-        double db = length(b->centroid() - mirroredOrigin);
-        return da > db;
-    });
-
-    for (const Triangle* tptr : candidates) {
-        if (!tptr) continue;
-        if (tptr->id == currentTri.id) continue;
-
-        // 先用投影+裁剪估面积，再决定子纹理分辨率与是否递归
-        // 为了获得“面积估计”，我们需要先进行一次“空投影裁剪”
-        // 这里复用projectAndCompositeTriangleTexture的思路，但不写入，只算面积：
-        Vec2 dstUV[3];
-        bool ok = true;
-        for (int i = 0; i < 3; ++i) {
-            Vec2 uv;
-            if (!projectPointToViewportUV(mirroredOrigin, tptr->p[i], currentTri, uv, nullptr, nullptr)) {
-                ok = false;
-                break;
-            }
-            dstUV[i] = uv;
-        }
-        if (!ok) continue;
-
-        std::vector<UVPairVertex> poly(3);
-        for (int i = 0; i < 3; ++i) {
-            poly[i].dstUV = dstUV[i];
-            poly[i].srcUV = tptr->uv[i];
-        }
-        std::vector<UVPairVertex> clipped = clipPolygonToTriangle(
-            std::move(poly),
-            currentTri.uv[0], currentTri.uv[1], currentTri.uv[2]
-        );
-        if (clipped.size() < 3) continue;
-
-        double areaUV = std::fabs(polygonAreaUV(clipped));
-        double areaPx = areaUV * (double)texW * (double)texH;
-        if (areaPx < 0.5) continue;
-
-        int childRes = (int)std::lround(std::sqrt(areaPx) * 1.2);
-        childRes = clampi(childRes, cfg.minTriTexRes, cfg.maxTriTexRes);
-
-        Image childTex = renderTriangleWithTriangle(
-            scene,
-            mirroredOrigin,
-            *tptr,
-            childRes, childRes,
-            depth + 1,
-            areaPx,
-            recursionStack,
-            cfg
-        );
-
-        // 真正写入反射缓冲（近处覆盖远处）
-        // 注意：我们已经有clipped了，可直接用它进行扇形三角化绘制
-        rasterizeWarpPolygonFan(reflection, clipped, childTex, /*overwrite=*/true);
-    }
-
-    recursionStack.pop_back();
-
-    // 将反射与基色混合：金属色会对反射进行“染色”
-    double m = clampd(currentTri.mat->metalness, 0.0, 1.0);
-    Image out(texW, texH, {0,0,0});
-    for (int y = 0; y < texH; ++y) {
-        for (int x = 0; x < texW; ++x) {
-            Vec3 r = reflection.get(x, y);
-            Vec3 tinted = mul(r, baseColor);
-            Vec3 c = baseColor * (1.0 - m) + tinted * m;
-            out.set(x, y, c);
-        }
-    }
-    return out;
-}
-
-// ---------------------------
-// Camera：viewport由两个三角形组成
-// render()：分别渲染两块viewport三角形纹理，再合成输出到PPM
-// ---------------------------
-struct Camera {
-    Vec3 origin;
-    Triangle vpA; // viewport triangle A
-    Triangle vpB; // viewport triangle B
-    int width = 800;
-    int height = 600;
-
-    Image renderViewportTriangle(
-        const std::vector<Triangle>& scene,
-        const Triangle& viewportTri,
-        const RenderConfig& cfg
-    ) const {
-        Image img(width, height, cfg.envColor);
-
-        // 先收集候选面片（可能投射到该viewport三角形）
-        std::vector<const Triangle*> candidates = collectCandidateTriangles(scene, origin, viewportTri);
-
-        std::sort(candidates.begin(), candidates.end(), [&](const Triangle* a, const Triangle* b) {
-            double da = length(a->centroid() - origin);
-            double db = length(b->centroid() - origin);
-            return da > db; // 远->近
-        });
-
-        std::vector<int> stack;
-        for (const Triangle* tptr : candidates) {
-            if (!tptr) continue;
-
-            // 估计该面片投影到viewport的像素面积：通过一次“投影+裁剪”的面积计算获得
-            Vec2 dstUV[3];
-            bool ok = true;
-            for (int i = 0; i < 3; ++i) {
-                Vec2 uv;
-                if (!projectPointToViewportUV(origin, tptr->p[i], viewportTri, uv, nullptr, nullptr)) {
-                    ok = false;
-                    break;
-                }
-                dstUV[i] = uv;
-            }
-            if (!ok) continue;
-
-            std::vector<UVPairVertex> poly(3);
-            for (int i = 0; i < 3; ++i) {
-                poly[i].dstUV = dstUV[i];
-                poly[i].srcUV = tptr->uv[i];
-            }
-            std::vector<UVPairVertex> clipped = clipPolygonToTriangle(
-                std::move(poly),
-                viewportTri.uv[0], viewportTri.uv[1], viewportTri.uv[2]
-            );
-            if (clipped.size() < 3) continue;
-
-            double areaUV = std::fabs(polygonAreaUV(clipped));
-            double areaPx = areaUV * (double)width * (double)height;
-            if (areaPx < 0.5) continue;
-
-            int triRes = (int)std::lround(std::sqrt(areaPx) * 1.0);
-            triRes = clampi(triRes, cfg.minTriTexRes, cfg.maxTriTexRes);
-
-            Image triTex = renderTriangleWithTriangle(
-                scene,
-                origin,
-                *tptr,
-                triRes, triRes,
-                /*depth=*/0,
-                /*estimatedAreaPx=*/areaPx,
-                stack,
-                cfg
-            );
-
-            // 投影并写入viewport图像（近处覆盖远处）
-            rasterizeWarpPolygonFan(img, clipped, triTex, /*overwrite=*/true);
-        }
-
-        // 将viewport三角形外的像素清为黑（严格按“两个三角形viewport”）
-        for (int y = 0; y < height; ++y) {
-            for (int x = 0; x < width; ++x) {
-                Vec2 uv((double)x / (width - 1), (double)y / (height - 1));
-                bool inside = pointInTriangle2D(uv, viewportTri.uv[0], viewportTri.uv[1], viewportTri.uv[2], 1e-10);
-                if (!inside) img.set(x, y, {0,0,0});
-            }
-        }
-
-        return img;
-    }
-
-    Image render(const std::vector<Triangle>& scene, const RenderConfig& cfg) const {
-        Image a = renderViewportTriangle(scene, vpA, cfg);
-        Image b = renderViewportTriangle(scene, vpB, cfg);
-
-        // 合成：由于a/b在各自三角形外为黑，直接相加即可得到完整画面
-        Image out(width, height, {0,0,0});
-        for (int y = 0; y < height; ++y) {
-            for (int x = 0; x < width; ++x) {
-                Vec3 c = a.get(x, y) + b.get(x, y);
-                // clamp
-                c.x = clampd(c.x, 0.0, 1.0);
-                c.y = clampd(c.y, 0.0, 1.0);
-                c.z = clampd(c.z, 0.0, 1.0);
-                out.set(x, y, c);
-            }
-        }
-        return out;
-    }
-};
-
-// ---------------------------
-// 场景构建：用四边形拆成两个三角形
-// UV采用(0,0)-(1,1)映射（每个quad面独立）
-// ---------------------------
-static inline void addQuad(
-    std::vector<Triangle>& scene,
-    int& nextId,
-    const Vec3& p00, const Vec3& p10, const Vec3& p11, const Vec3& p01,
-    Material* mat
-) {
-    Triangle t0;
-    t0.id = nextId++;
-    t0.p[0] = p00; t0.p[1] = p10; t0.p[2] = p01;
-    t0.uv[0] = {0,0}; t0.uv[1] = {1,0}; t0.uv[2] = {0,1};
-    t0.mat = mat;
-
-    Triangle t1;
-    t1.id = nextId++;
-    t1.p[0] = p10; t1.p[1] = p11; t1.p[2] = p01;
-    t1.uv[0] = {1,0}; t1.uv[1] = {1,1}; t1.uv[2] = {0,1};
-    t1.mat = mat;
-
-    scene.push_back(t0);
-    scene.push_back(t1);
-}
-
-static inline void addBox(
-    std::vector<Triangle>& scene,
-    int& nextId,
-    const Vec3& bmin,
-    const Vec3& bmax,
-    Material* mat
-) {
-    // 6 faces: +X -X +Y -Y +Z -Z
-    Vec3 p000(bmin.x, bmin.y, bmin.z);
-    Vec3 p001(bmin.x, bmin.y, bmax.z);
-    Vec3 p010(bmin.x, bmax.y, bmin.z);
-    Vec3 p011(bmin.x, bmax.y, bmax.z);
-    Vec3 p100(bmax.x, bmin.y, bmin.z);
-    Vec3 p101(bmax.x, bmin.y, bmax.z);
-    Vec3 p110(bmax.x, bmax.y, bmin.z);
-    Vec3 p111(bmax.x, bmax.y, bmax.z);
-
-    // -X face: p000 p001 p011 p010
-    addQuad(scene, nextId, p000, p001, p011, p010, mat);
-    // +X face: p100 p110 p111 p101
-    addQuad(scene, nextId, p100, p110, p111, p101, mat);
-    // -Y face (bottom): p000 p100 p101 p001
-    addQuad(scene, nextId, p000, p100, p101, p001, mat);
-    // +Y face (top): p010 p011 p111 p110
-    addQuad(scene, nextId, p010, p011, p111, p110, mat);
-    // -Z face: p000 p010 p110 p100
-    addQuad(scene, nextId, p000, p010, p110, p100, mat);
-    // +Z face: p001 p101 p111 p011
-    addQuad(scene, nextId, p001, p101, p111, p011, mat);
-}
-
-int main() {
-    try {
-        // ---------------------------
-        // 材质
-        // ---------------------------
-        Material matWhite; matWhite.type = MaterialType::Diffuse; matWhite.albedo = {0.85, 0.85, 0.85};
-        Material matRed;   matRed.type   = MaterialType::Diffuse; matRed.albedo   = {0.85, 0.25, 0.25};
-        Material matGreen; matGreen.type = MaterialType::Diffuse; matGreen.albedo = {0.25, 0.85, 0.25};
-
-        Material matBlueMetal;   matBlueMetal.type   = MaterialType::Reflective; matBlueMetal.albedo   = {0.25, 0.45, 1.0};  matBlueMetal.metalness   = 0.90;
-        Material matYellowMetal; matYellowMetal.type = MaterialType::Reflective; matYellowMetal.albedo = {1.0, 0.92, 0.20}; matYellowMetal.metalness = 0.92;
-
-        // ---------------------------
-        // Cornell Box 场景（前方开口）
-        // 坐标：房间x∈[-1,1], y∈[0,2], z∈[0,2]
-        // 相机在 z<0 处朝 +z 看
-        // ---------------------------
-        std::vector<Triangle> scene;
-        int nextId = 1;
-
-        // floor y=0
-        addQuad(scene, nextId,
-            Vec3(-1,0,0), Vec3( 1,0,0), Vec3( 1,0,2), Vec3(-1,0,2),
-            &matWhite
-        );
-        // ceiling y=2
-        addQuad(scene, nextId,
-            Vec3(-1,2,0), Vec3(-1,2,2), Vec3( 1,2,2), Vec3( 1,2,0),
-            &matWhite
-        );
-        // back wall z=2
-        addQuad(scene, nextId,
-            Vec3(-1,0,2), Vec3( 1,0,2), Vec3( 1,2,2), Vec3(-1,2,2),
-            &matWhite
-        );
-        // left wall x=-1 (red)
-        addQuad(scene, nextId,
-            Vec3(-1,0,0), Vec3(-1,0,2), Vec3(-1,2,2), Vec3(-1,2,0),
-            &matRed
-        );
-        // right wall x=1 (green)
-        addQuad(scene, nextId,
-            Vec3( 1,0,0), Vec3( 1,2,0), Vec3( 1,2,2), Vec3( 1,0,2),
-            &matGreen
-        );
-
-        // ---------------------------
-        // 两个金属盒子（蓝、黄）
-        // ---------------------------
-        addBox(scene, nextId, Vec3(-0.70, 0.0, 0.80), Vec3(-0.15, 0.60, 1.30), &matBlueMetal);
-        addBox(scene, nextId, Vec3( 0.15, 0.0, 1.00), Vec3( 0.70, 1.10, 1.65), &matYellowMetal);
-
-        // ---------------------------
-        // Camera + viewport(两个三角形)
-        // viewport平面取 z = -2.0，矩形中心 y=1.0
-        // ---------------------------
-        Camera cam;
-        cam.width = 900;
-        cam.height = 650;
-        cam.origin = Vec3(0.0, 1.0, -3.0);
-
-        double vpZ = -2.0;
-        double aspect = (double)cam.width / (double)cam.height;
-        double vpH = 1.6;              // viewport世界高度
-        double vpW = vpH * aspect;     // 对应宽度
-
-        Vec3 center(0.0, 1.0, vpZ);
-        Vec3 TL(center.x - vpW * 0.5, center.y - vpH * 0.5, vpZ);
-        Vec3 TR(center.x + vpW * 0.5, center.y - vpH * 0.5, vpZ);
-        Vec3 BL(center.x - vpW * 0.5, center.y + vpH * 0.5, vpZ);
-        Vec3 BR(center.x + vpW * 0.5, center.y + vpH * 0.5, vpZ);
-
-        // viewport UV：u右 v下（0为上）
-        // 三角A：TL(0,0), TR(1,0), BL(0,1)
-        cam.vpA.id = -100;
-        cam.vpA.p[0] = TL; cam.vpA.p[1] = TR; cam.vpA.p[2] = BL;
-        cam.vpA.uv[0] = {0,0}; cam.vpA.uv[1] = {1,0}; cam.vpA.uv[2] = {0,1};
-        cam.vpA.mat = nullptr; // viewport不是场景面片，不参与材质
-
-        // 三角B：TR(1,0), BR(1,1), BL(0,1)
-        cam.vpB.id = -101;
-        cam.vpB.p[0] = TR; cam.vpB.p[1] = BR; cam.vpB.p[2] = BL;
-        cam.vpB.uv[0] = {1,0}; cam.vpB.uv[1] = {1,1}; cam.vpB.uv[2] = {0,1};
-        cam.vpB.mat = nullptr;
-
-        RenderConfig cfg;
-        cfg.maxDepth = 4;
-        cfg.minAreaPxToRecurse = 6.0;
-        cfg.maxTriTexRes = 256;
-        cfg.minTriTexRes = 16;
-        cfg.envColor = {0.06, 0.07, 0.09};
-
-        Image img = cam.render(scene, cfg);
-        img.writePPM("output_rt10.ppm");
-
-        std::cerr << "Done. Wrote output_rt10.ppm\n";
-        return 0;
-    } catch (const std::exception& e) {
-        std::cerr << "Fatal: " << e.what() << "\n";
-        return 1;
-    }
-}

experiments/rt11.cpp

@@ -1,940 +0,0 @@
-#include <iostream>
-#include <vector>
-#include <cmath>
-#include <algorithm>
-#include <fstream>
-#include <limits>
-#include <memory>
-#include <array>
-
-// ==================== 基础数学结构 ====================
-
-struct Vec3 {
-    double x, y, z;
-    
-    Vec3() : x(0), y(0), z(0) {}
-    Vec3(double x, double y, double z) : x(x), y(y), z(z) {}
-    
-    Vec3 operator+(const Vec3& v) const { return Vec3(x + v.x, y + v.y, z + v.z); }
-    Vec3 operator-(const Vec3& v) const { return Vec3(x - v.x, y - v.y, z - v.z); }
-    Vec3 operator*(double t) const { return Vec3(x * t, y * t, z * t); }
-    Vec3 operator*(const Vec3& v) const { return Vec3(x * v.x, y * v.y, z * v.z); }
-    Vec3 operator/(double t) const { return Vec3(x / t, y / t, z / t); }
-    Vec3& operator+=(const Vec3& v) { x += v.x; y += v.y; z += v.z; return *this; }
-    Vec3& operator*=(double t) { x *= t; y *= t; z *= t; return *this; }
-    
-    double dot(const Vec3& v) const { return x * v.x + y * v.y + z * v.z; }
-    Vec3 cross(const Vec3& v) const {
-        return Vec3(y * v.z - z * v.y, z * v.x - x * v.z, x * v.y - y * v.x);
-    }
-    
-    double length() const { return std::sqrt(x * x + y * y + z * z); }
-    double lengthSquared() const { return x * x + y * y + z * z; }
-    Vec3 normalized() const {
-        double len = length();
-        if (len < 1e-10) return Vec3(0, 0, 0);
-        return *this / len;
-    }
-    
-    // 关于平面对称点
-    static Vec3 reflect(const Vec3& point, const Vec3& planePoint, const Vec3& planeNormal) {
-        Vec3 n = planeNormal.normalized();
-        double d = (point - planePoint).dot(n);
-        return point - n * (2 * d);
-    }
-};
-
-Vec3 operator*(double t, const Vec3& v) { return v * t; }
-
-// 颜色结构（RGB，0-1范围）
-struct Color {
-    double r, g, b;
-    
-    Color() : r(0), g(0), b(0) {}
-    Color(double r, double g, double b) : r(r), g(g), b(b) {}
-    
-    Color operator+(const Color& c) const { return Color(r + c.r, g + c.g, b + c.b); }
-    Color operator*(double t) const { return Color(r * t, g * t, b * t); }
-    Color operator*(const Color& c) const { return Color(r * c.r, g * c.g, b * c.b); }
-    Color& operator+=(const Color& c) { r += c.r; g += c.g; b += c.b; return *this; }
-    
-    Color clamped() const {
-        return Color(
-            std::max(0.0, std::min(1.0, r)),
-            std::max(0.0, std::min(1.0, g)),
-            std::max(0.0, std::min(1.0, b))
-        );
-    }
-    
-    static Color lerp(const Color& a, const Color& b, double t) {
-        return Color(a.r + (b.r - a.r) * t, a.g + (b.g - a.g) * t, a.b + (b.b - a.b) * t);
-    }
-};
-
-// ==================== 纹理类 ====================
-
-class Texture {
-public:
-    int width, height;
-    std::vector<Color> pixels;
-    
-    Texture() : width(0), height(0) {}
-    Texture(int w, int h) : width(w), height(h), pixels(w * h) {}
-    Texture(int w, int h, const Color& fillColor) : width(w), height(h), pixels(w * h, fillColor) {}
-    
-    Color getPixel(int x, int y) const {
-        if (x < 0 || x >= width || y < 0 || y >= height) return Color(0, 0, 0);
-        return pixels[y * width + x];
-    }
-    
-    void setPixel(int x, int y, const Color& c) {
-        if (x < 0 || x >= width || y < 0 || y >= height) return;
-        pixels[y * width + x] = c;
-    }
-    
-    // 双线性插值采样（UV坐标0-1）
-    Color sample(double u, double v) const {
-        if (width == 0 || height == 0) return Color(0, 0, 0);
-        
-        u = std::max(0.0, std::min(1.0, u));
-        v = std::max(0.0, std::min(1.0, v));
-        
-        double fx = u * (width - 1);
-        double fy = v * (height - 1);
-        
-        int x0 = (int)fx;
-        int y0 = (int)fy;
-        int x1 = std::min(x0 + 1, width - 1);
-        int y1 = std::min(y0 + 1, height - 1);
-        
-        double tx = fx - x0;
-        double ty = fy - y0;
-        
-        Color c00 = getPixel(x0, y0);
-        Color c10 = getPixel(x1, y0);
-        Color c01 = getPixel(x0, y1);
-        Color c11 = getPixel(x1, y1);
-        
-        Color c0 = Color::lerp(c00, c10, tx);
-        Color c1 = Color::lerp(c01, c11, tx);
-        
-        return Color::lerp(c0, c1, ty);
-    }
-    
-    // 在指定像素位置混合颜色（用于叠加）
-    void blendPixel(int x, int y, const Color& c, double alpha = 1.0) {
-        if (x < 0 || x >= width || y < 0 || y >= height) return;
-        Color existing = getPixel(x, y);
-        Color blended = Color(
-            existing.r * (1 - alpha) + c.r * alpha,
-            existing.g * (1 - alpha) + c.g * alpha,
-            existing.b * (1 - alpha) + c.b * alpha
-        );
-        setPixel(x, y, blended);
-    }
-};
-
-// ==================== 材质类型 ====================
-
-enum class MaterialType {
-    Diffuse,      // 漫反射
-    Reflective,   // 镜面反射
-    Emissive      // 发光体
-};
-
-struct Material {
-    MaterialType type;
-    Color baseColor;
-    double reflectivity;  // 0-1，反射率
-    
-    Material() : type(MaterialType::Diffuse), baseColor(0.8, 0.8, 0.8), reflectivity(0) {}
-    Material(MaterialType t, const Color& c, double refl = 0.9) 
-        : type(t), baseColor(c), reflectivity(refl) {}
-};
-
-// ==================== 三角形类 ====================
-
-class Triangle {
-public:
-    Vec3 v0, v1, v2;  // 三个顶点
-    Vec3 normal;       // 法向量
-    Material material;
-    Texture* texture;  // 可选的纹理
-    
-    // UV坐标
-    Vec3 uv0, uv1, uv2;
-    
-    Triangle() : texture(nullptr) {
-        uv0 = Vec3(0, 0, 0);
-        uv1 = Vec3(1, 0, 0);
-        uv2 = Vec3(0, 1, 0);
-    }
-    
-    Triangle(const Vec3& a, const Vec3& b, const Vec3& c, const Material& mat = Material())
-        : v0(a), v1(b), v2(c), material(mat), texture(nullptr) {
-        normal = (v1 - v0).cross(v2 - v0).normalized();
-        uv0 = Vec3(0, 0, 0);
-        uv1 = Vec3(1, 0, 0);
-        uv2 = Vec3(0, 1, 0);
-    }
-    
-    void setUV(const Vec3& u0, const Vec3& u1, const Vec3& u2) {
-        uv0 = u0; uv1 = u1; uv2 = u2;
-    }
-    
-    // 获取三角形中心
-    Vec3 center() const {
-        return (v0 + v1 + v2) / 3.0;
-    }
-    
-    // 获取三角形面积
-    double area() const {
-        return (v1 - v0).cross(v2 - v0).length() * 0.5;
-    }
-    
-    // 计算重心坐标
-    bool barycentricCoords(const Vec3& p, double& u, double& v, double& w) const {
-        Vec3 v0v1 = v1 - v0;
-        Vec3 v0v2 = v2 - v0;
-        Vec3 v0p = p - v0;
-        
-        double d00 = v0v1.dot(v0v1);
-        double d01 = v0v1.dot(v0v2);
-        double d11 = v0v2.dot(v0v2);
-        double d20 = v0p.dot(v0v1);
-        double d21 = v0p.dot(v0v2);
-        
-        double denom = d00 * d11 - d01 * d01;
-        if (std::abs(denom) < 1e-10) return false;
-        
-        v = (d11 * d20 - d01 * d21) / denom;
-        w = (d00 * d21 - d01 * d20) / denom;
-        u = 1.0 - v - w;
-        
-        return true;
-    }
-    
-    // 从重心坐标获取UV
-    Vec3 getUVFromBarycentric(double u, double v, double w) const {
-        return Vec3(
-            u * uv0.x + v * uv1.x + w * uv2.x,
-            u * uv0.y + v * uv1.y + w * uv2.y,
-            0
-        );
-    }
-    
-    // 射线与三角形相交测试（Möller–Trumbore算法）
-    bool rayIntersect(const Vec3& origin, const Vec3& dir, double& t, double& u, double& v) const {
-        const double EPSILON = 1e-8;
-        Vec3 edge1 = v1 - v0;
-        Vec3 edge2 = v2 - v0;
-        Vec3 h = dir.cross(edge2);
-        double a = edge1.dot(h);
-        
-        if (std::abs(a) < EPSILON) return false;
-        
-        double f = 1.0 / a;
-        Vec3 s = origin - v0;
-        u = f * s.dot(h);
-        
-        if (u < 0.0 || u > 1.0) return false;
-        
-        Vec3 q = s.cross(edge1);
-        v = f * dir.dot(q);
-        
-        if (v < 0.0 || u + v > 1.0) return false;
-        
-        t = f * edge2.dot(q);
-        
-        return t > EPSILON;
-    }
-    
-    // 获取指定UV处的颜色
-    Color getColorAtUV(double u, double v) const {
-        if (texture != nullptr) {
-            return texture->sample(u, v);
-        }
-        return material.baseColor;
-    }
-};
-
-// ==================== 视锥体类（由原点和三角形viewport组成） ====================
-
-class Frustum {
-public:
-    Vec3 apex;           // 视锥体顶点（相机原点）
-    Triangle viewport;   // 底面三角形
-    
-    // 四个平面（侧面3个 + 底面1个）
-    // 每个平面由法向量和平面上的一点定义
-    std::array<Vec3, 4> planeNormals;
-    std::array<Vec3, 4> planePoints;
-    
-    Frustum() {}
-    
-    Frustum(const Vec3& origin, const Triangle& vp) : apex(origin), viewport(vp) {
-        buildPlanes();
-    }
-    
-    void buildPlanes() {
-        // 三个侧面
-        Vec3 edge0 = viewport.v1 - viewport.v0;
-        Vec3 edge1 = viewport.v2 - viewport.v1;
-        Vec3 edge2 = viewport.v0 - viewport.v2;
-        
-        Vec3 toApex0 = apex - viewport.v0;
-        Vec3 toApex1 = apex - viewport.v1;
-        Vec3 toApex2 = apex - viewport.v2;
-        
-        // 侧面0: v0-v1-apex
-        planeNormals[0] = edge0.cross(toApex0).normalized();
-        planePoints[0] = viewport.v0;
-        
-        // 侧面1: v1-v2-apex
-        planeNormals[1] = edge1.cross(toApex1).normalized();
-        planePoints[1] = viewport.v1;
-        
-        // 侧面2: v2-v0-apex
-        planeNormals[2] = edge2.cross(toApex2).normalized();
-        planePoints[2] = viewport.v2;
-        
-        // 底面（viewport平面）
-        planeNormals[3] = viewport.normal;
-        planePoints[3] = viewport.v0;
-        
-        // 确保法向量朝向视锥体内部
-        Vec3 center = (viewport.v0 + viewport.v1 + viewport.v2) / 3.0;
-        Vec3 frustumCenter = (center + apex) / 2.0;
-        
-        for (int i = 0; i < 3; ++i) {
-            Vec3 toCenter = frustumCenter - planePoints[i];
-            if (planeNormals[i].dot(toCenter) < 0) {
-                planeNormals[i] = planeNormals[i] * (-1);
-            }
-        }
-        
-        // 底面法向量应该指向apex方向
-        Vec3 toApex = apex - planePoints[3];
-        if (planeNormals[3].dot(toApex) < 0) {
-            planeNormals[3] = planeNormals[3] * (-1);
-        }
-    }
-    
-    // 检测点是否在视锥体内
-    bool containsPoint(const Vec3& p) const {
-        for (int i = 0; i < 4; ++i) {
-            Vec3 toPoint = p - planePoints[i];
-            if (planeNormals[i].dot(toPoint) < -1e-6) {
-                return false;
-            }
-        }
-        return true;
-    }
-    
-    // 检测三角形是否与视锥体相交或被包含
-    bool intersectsTriangle(const Triangle& tri) const {
-        // 简化检测：检查三角形的任意顶点是否在视锥体内，
-        // 或者视锥体的任意边是否与三角形相交
-        
-        // 检查三角形顶点
-        if (containsPoint(tri.v0) || containsPoint(tri.v1) || containsPoint(tri.v2)) {
-            return true;
-        }
-        
-        // 检查视锥体边与三角形的相交
-        std::vector<std::pair<Vec3, Vec3>> frustumEdges = {
-            {apex, viewport.v0},
-            {apex, viewport.v1},
-            {apex, viewport.v2},
-            {viewport.v0, viewport.v1},
-            {viewport.v1, viewport.v2},
-            {viewport.v2, viewport.v0}
-        };
-        
-        for (const auto& edge : frustumEdges) {
-            Vec3 dir = edge.second - edge.first;
-            double t, u, v;
-            if (tri.rayIntersect(edge.first, dir.normalized(), t, u, v)) {
-                if (t >= 0 && t <= dir.length()) {
-                    return true;
-                }
-            }
-        }
-        
-        // 检查三角形边与视锥体平面的相交
-        std::vector<std::pair<Vec3, Vec3>> triEdges = {
-            {tri.v0, tri.v1},
-            {tri.v1, tri.v2},
-            {tri.v2, tri.v0}
-        };
-        
-        for (const auto& edge : triEdges) {
-            Vec3 dir = edge.second - edge.first;
-            double t, u, v;
-            if (viewport.rayIntersect(edge.first, dir.normalized(), t, u, v)) {
-                if (t >= 0 && t <= dir.length()) {
-                    return true;
-                }
-            }
-        }
-        
-        return false;
-    }
-};
-
-// ==================== 前向声明 ====================
-
-class Scene;
-Texture renderTriangleWithTriangle(
-    const std::vector<Triangle*>& triangles,
-    const Vec3& cameraOrigin,
-    const Triangle& currentTriangle,
-    int estimatedWidth,
-    int estimatedHeight,
-    int depth,
-    int maxDepth,
-    const Scene& scene
-);
-
-// ==================== 场景类 ====================
-
-class Scene {
-public:
-    std::vector<Triangle> triangles;
-    Color ambientLight;
-    Vec3 lightPosition;
-    Color lightColor;
-    
-    Scene() : ambientLight(0.1, 0.1, 0.1), lightPosition(0, 1.9, 0), lightColor(1, 1, 1) {}
-    
-    void addTriangle(const Triangle& tri) {
-        triangles.push_back(tri);
-    }
-    
-    // 添加四边形（分解为两个三角形）
-    void addQuad(const Vec3& v0, const Vec3& v1, const Vec3& v2, const Vec3& v3, const Material& mat) {
-        Triangle t1(v0, v1, v2, mat);
-        Triangle t2(v0, v2, v3, mat);
-        
-        // 设置UV坐标
-        t1.setUV(Vec3(0, 0, 0), Vec3(1, 0, 0), Vec3(1, 1, 0));
-        t2.setUV(Vec3(0, 0, 0), Vec3(1, 1, 0), Vec3(0, 1, 0));
-        
-        triangles.push_back(t1);
-        triangles.push_back(t2);
-    }
-    
-    // 添加盒子
-    void addBox(const Vec3& minCorner, const Vec3& maxCorner, const Material& mat) {
-        Vec3 v000 = minCorner;
-        Vec3 v111 = maxCorner;
-        Vec3 v100 = Vec3(maxCorner.x, minCorner.y, minCorner.z);
-        Vec3 v010 = Vec3(minCorner.x, maxCorner.y, minCorner.z);
-        Vec3 v001 = Vec3(minCorner.x, minCorner.y, maxCorner.z);
-        Vec3 v110 = Vec3(maxCorner.x, maxCorner.y, minCorner.z);
-        Vec3 v101 = Vec3(maxCorner.x, minCorner.y, maxCorner.z);
-        Vec3 v011 = Vec3(minCorner.x, maxCorner.y, maxCorner.z);
-        
-        // 前面 (z = max)
-        addQuad(v001, v101, v111, v011, mat);
-        // 后面 (z = min)
-        addQuad(v100, v000, v010, v110, mat);
-        // 左面 (x = min)
-        addQuad(v000, v001, v011, v010, mat);
-        // 右面 (x = max)
-        addQuad(v101, v100, v110, v111, mat);
-        // 顶面 (y = max)
-        addQuad(v010, v011, v111, v110, mat);
-        // 底面 (y = min)
-        addQuad(v000, v100, v101, v001, mat);
-    }
-    
-    std::vector<Triangle*> getTrianglePointers() {
-        std::vector<Triangle*> ptrs;
-        for (auto& tri : triangles) {
-            ptrs.push_back(&tri);
-        }
-        return ptrs;
-    }
-};
-
-// ==================== 工具函数 ====================
-
-// 将点从相机原点投影到目标平面上
-Vec3 projectPointToPlane(const Vec3& origin, const Vec3& point, const Vec3& planePoint, const Vec3& planeNormal) {
-    Vec3 dir = (point - origin).normalized();
-    double denom = dir.dot(planeNormal);
-    if (std::abs(denom) < 1e-10) return point; // 平行
-    
-    double t = (planePoint - origin).dot(planeNormal) / denom;
-    return origin + dir * t;
-}
-
-// 将三角形的纹理变换并绘制到目标纹理上
-void drawTransformedTriangle(
-    Texture& destTexture,
-    const Triangle& destTriangle,  // 目标三角形（viewport）
-    const Triangle& srcTriangle,   // 源三角形
-    const Texture& srcTexture,     // 源纹理
-    const Vec3& cameraOrigin       // 相机原点
-) {
-    // 计算源三角形三个顶点投影到目标三角形平面上的位置
-    Vec3 proj0 = projectPointToPlane(cameraOrigin, srcTriangle.v0, destTriangle.v0, destTriangle.normal);
-    Vec3 proj1 = projectPointToPlane(cameraOrigin, srcTriangle.v1, destTriangle.v0, destTriangle.normal);
-    Vec3 proj2 = projectPointToPlane(cameraOrigin, srcTriangle.v2, destTriangle.v0, destTriangle.normal);
-    
-    // 将投影点转换为目标三角形的重心坐标
-    double u0, v0, w0, u1, v1, w1, u2, v2, w2;
-    destTriangle.barycentricCoords(proj0, u0, v0, w0);
-    destTriangle.barycentricCoords(proj1, u1, v1, w1);
-    destTriangle.barycentricCoords(proj2, u2, v2, w2);
-    
-    // 转换为纹理坐标
-    Vec3 texCoord0 = destTriangle.getUVFromBarycentric(u0, v0, w0);
-    Vec3 texCoord1 = destTriangle.getUVFromBarycentric(u1, v1, w1);
-    Vec3 texCoord2 = destTriangle.getUVFromBarycentric(u2, v2, w2);
-    
-    // 在目标纹理上栅格化源三角形
-    // 计算边界框
-    double minU = std::min({texCoord0.x, texCoord1.x, texCoord2.x});
-    double maxU = std::max({texCoord0.x, texCoord1.x, texCoord2.x});
-    double minV = std::min({texCoord0.y, texCoord1.y, texCoord2.y});
-    double maxV = std::max({texCoord0.y, texCoord1.y, texCoord2.y});
-    
-    int startX = std::max(0, (int)(minU * destTexture.width) - 1);
-    int endX = std::min(destTexture.width - 1, (int)(maxU * destTexture.width) + 1);
-    int startY = std::max(0, (int)(minV * destTexture.height) - 1);
-    int endY = std::min(destTexture.height - 1, (int)(maxV * destTexture.height) + 1);
-    
-    // 使用重心坐标进行纹理映射
-    for (int py = startY; py <= endY; ++py) {
-        for (int px = startX; px <= endX; ++px) {
-            double u = (px + 0.5) / destTexture.width;
-            double v = (py + 0.5) / destTexture.height;
-            
-            // 检查点是否在投影三角形内（使用2D重心坐标）
-            Vec3 p(u, v, 0);
-            Vec3 a(texCoord0.x, texCoord0.y, 0);
-            Vec3 b(texCoord1.x, texCoord1.y, 0);
-            Vec3 c(texCoord2.x, texCoord2.y, 0);
-            
-            Vec3 v0v = b - a;
-            Vec3 v1v = c - a;
-            Vec3 v2v = p - a;
-            
-            double d00 = v0v.x * v0v.x + v0v.y * v0v.y;
-            double d01 = v0v.x * v1v.x + v0v.y * v1v.y;
-            double d11 = v1v.x * v1v.x + v1v.y * v1v.y;
-            double d20 = v2v.x * v0v.x + v2v.y * v0v.y;
-            double d21 = v2v.x * v1v.x + v2v.y * v1v.y;
-            
-            double denom = d00 * d11 - d01 * d01;
-            if (std::abs(denom) < 1e-10) continue;
-            
-            double baryV = (d11 * d20 - d01 * d21) / denom;
-            double baryW = (d00 * d21 - d01 * d20) / denom;
-            double baryU = 1.0 - baryV - baryW;
-            
-            // 检查是否在三角形内
-            if (baryU >= -0.001 && baryV >= -0.001 && baryW >= -0.001) {
-                // 计算源纹理的UV坐标
-                double srcU = baryU * srcTriangle.uv0.x + baryV * srcTriangle.uv1.x + baryW * srcTriangle.uv2.x;
-                double srcV = baryU * srcTriangle.uv0.y + baryV * srcTriangle.uv1.y + baryW * srcTriangle.uv2.y;
-                
-                Color srcColor = srcTexture.sample(srcU, srcV);
-                destTexture.setPixel(px, py, srcColor);
-            }
-        }
-    }
-}
-
-// 计算三角形投影到viewport上的近似像素面积
-double estimateProjectedArea(const Triangle& tri, const Vec3& cameraOrigin, const Triangle& viewport, int viewportWidth, int viewportHeight) {
-    Vec3 proj0 = projectPointToPlane(cameraOrigin, tri.v0, viewport.v0, viewport.normal);
-    Vec3 proj1 = projectPointToPlane(cameraOrigin, tri.v1, viewport.v0, viewport.normal);
-    Vec3 proj2 = projectPointToPlane(cameraOrigin, tri.v2, viewport.v0, viewport.normal);
-    
-    double u0, v0, w0, u1, v1, w1, u2, v2, w2;
-    viewport.barycentricCoords(proj0, u0, v0, w0);
-    viewport.barycentricCoords(proj1, u1, v1, w1);
-    viewport.barycentricCoords(proj2, u2, v2, w2);
-    
-    Vec3 tc0 = viewport.getUVFromBarycentric(u0, v0, w0);
-    Vec3 tc1 = viewport.getUVFromBarycentric(u1, v1, w1);
-    Vec3 tc2 = viewport.getUVFromBarycentric(u2, v2, w2);
-    
-    // 计算2D三角形面积
-    double area = 0.5 * std::abs(
-        (tc1.x - tc0.x) * (tc2.y - tc0.y) - (tc2.x - tc0.x) * (tc1.y - tc0.y)
-    );
-    
-    return area * viewportWidth * viewportHeight;
-}
-
-// ==================== 核心渲染函数 ====================
-
-Texture renderTriangleWithTriangle(
-    const std::vector<Triangle*>& triangles,
-    const Vec3& cameraOrigin,
-    const Triangle& currentTriangle,
-    int estimatedWidth,
-    int estimatedHeight,
-    int depth,
-    int maxDepth,
-    const Scene& scene
-) {
-    // 检查终止条件
-    if (depth >= maxDepth || estimatedWidth < 2 || estimatedHeight < 2) {
-        // 返回基础颜色纹理
-        Texture result(std::max(1, estimatedWidth), std::max(1, estimatedHeight), currentTriangle.material.baseColor);
-        return result;
-    }
-    
-    // 如果是漫反射材质，直接返回基础颜色
-    if (currentTriangle.material.type == MaterialType::Diffuse) {
-        Texture result(estimatedWidth, estimatedHeight, currentTriangle.material.baseColor);
-        
-        // 添加简单的光照计算
-        Vec3 toLight = (scene.lightPosition - currentTriangle.center()).normalized();
-        double diffuse = std::max(0.0, currentTriangle.normal.dot(toLight));
-        
-        Color litColor = currentTriangle.material.baseColor * (0.3 + 0.7 * diffuse);
-        for (int y = 0; y < estimatedHeight; ++y) {
-            for (int x = 0; x < estimatedWidth; ++x) {
-                result.setPixel(x, y, litColor);
-            }
-        }
-        
-        return result;
-    }
-    
-    // 如果是发光材质，返回发光颜色
-    if (currentTriangle.material.type == MaterialType::Emissive) {
-        Texture result(estimatedWidth, estimatedHeight, currentTriangle.material.baseColor);
-        return result;
-    }
-    
-    // 镜面反射材质
-    // 初始化当前面片的纹理（使用基础颜色）
-    Texture currentTexture(estimatedWidth, estimatedHeight, currentTriangle.material.baseColor * 0.1);
-    
-    // 计算反射后的相机原点（关于当前面片对称）
-    Vec3 reflectedOrigin = Vec3::reflect(cameraOrigin, currentTriangle.center(), currentTriangle.normal);
-    
-    // 构建视锥体
-    Frustum frustum(reflectedOrigin, currentTriangle);
-    
-    // 收集与视锥体相交的三角形
-    struct TriangleDistance {
-        Triangle* tri;
-        double distance;
-        
-        bool operator<(const TriangleDistance& other) const {
-            return distance > other.distance; // 由远到近
-        }
-    };
-    
-    std::vector<TriangleDistance> intersectedTriangles;
-    
-    for (Triangle* tri : triangles) {
-        // 跳过当前三角形
-        if (tri->v0.x == currentTriangle.v0.x && tri->v0.y == currentTriangle.v0.y && tri->v0.z == currentTriangle.v0.z &&
-            tri->v1.x == currentTriangle.v1.x && tri->v1.y == currentTriangle.v1.y && tri->v1.z == currentTriangle.v1.z &&
-            tri->v2.x == currentTriangle.v2.x && tri->v2.y == currentTriangle.v2.y && tri->v2.z == currentTriangle.v2.z) {
-            continue;
-        }
-        
-        // 检查三角形是否在视锥体的"前方"（从反射原点看去）
-        Vec3 toTriCenter = tri->center() - reflectedOrigin;
-        Vec3 viewDir = (currentTriangle.center() - reflectedOrigin).normalized();
-        
-        if (toTriCenter.dot(viewDir) <= 0) {
-            continue; // 三角形在视锥体后方
-        }
-        
-        if (frustum.intersectsTriangle(*tri)) {
-            double dist = (tri->center() - reflectedOrigin).length();
-            intersectedTriangles.push_back({tri, dist});
-        }
-    }
-    
-    // 按距离排序（由远到近）
-    std::sort(intersectedTriangles.begin(), intersectedTriangles.end());
-    
-    // 遍历并渲染每个相交的三角形
-    for (const auto& td : intersectedTriangles) {
-        Triangle* tri = td.tri;
-        
-        // 估计该三角形投影到当前面片上的像素大小
-        double projectedArea = estimateProjectedArea(*tri, reflectedOrigin, currentTriangle, estimatedWidth, estimatedHeight);
-        int subWidth = std::max(2, (int)std::sqrt(projectedArea));
-        int subHeight = subWidth;
-        
-        // 递归获取该三角形的纹理
-        Texture subTexture = renderTriangleWithTriangle(
-            triangles, reflectedOrigin, *tri, subWidth, subHeight, depth + 1, maxDepth, scene
-        );
-        
-        // 创建临时三角形用于绘制（带有获取的纹理）
-        Triangle tempTri = *tri;
-        tempTri.texture = &subTexture;
-        
-        // 将该三角形的纹理变换并绘制到当前纹理上
-        drawTransformedTriangle(currentTexture, currentTriangle, *tri, subTexture, reflectedOrigin);
-    }
-    
-    // 混合基础颜色和反射结果
-    double refl = currentTriangle.material.reflectivity;
-    for (int y = 0; y < estimatedHeight; ++y) {
-        for (int x = 0; x < estimatedWidth; ++x) {
-            Color reflected = currentTexture.getPixel(x, y);
-            Color base = currentTriangle.material.baseColor * 0.1;
-            Color mixed = Color(
-                base.r * (1 - refl) + reflected.r * refl,
-                base.g * (1 - refl) + reflected.g * refl,
-                base.b * (1 - refl) + reflected.b * refl
-            );
-            currentTexture.setPixel(x, y, mixed);
-        }
-    }
-    
-    return currentTexture;
-}
-
-// ==================== 相机类 ====================
-
-class Camera {
-public:
-    Vec3 position;
-    Vec3 lookAt;
-    Vec3 up;
-    double fov;
-    int width, height;
-    
-    // Viewport三角形
-    Triangle viewportTri1, viewportTri2;
-    
-    Camera(const Vec3& pos, const Vec3& look, const Vec3& upDir, double fieldOfView, int w, int h)
-        : position(pos), lookAt(look), up(upDir), fov(fieldOfView), width(w), height(h) {
-        setupViewport();
-    }
-    
-    void setupViewport() {
-        Vec3 forward = (lookAt - position).normalized();
-        Vec3 right = forward.cross(up).normalized();
-        Vec3 upVec = right.cross(forward).normalized();
-        
-        double aspectRatio = (double)width / height;
-        double halfHeight = std::tan(fov * 0.5 * M_PI / 180.0);
-        double halfWidth = aspectRatio * halfHeight;
-        
-        // Viewport在相机前方单位距离处
-        Vec3 center = position + forward;
-        
-        Vec3 bottomLeft = center - right * halfWidth - upVec * halfHeight;
-        Vec3 bottomRight = center + right * halfWidth - upVec * halfHeight;
-        Vec3 topLeft = center - right * halfWidth + upVec * halfHeight;
-        Vec3 topRight = center + right * halfWidth + upVec * halfHeight;
-        
-        // 创建两个三角形组成viewport
-        Material viewportMat(MaterialType::Diffuse, Color(0, 0, 0));
-        viewportTri1 = Triangle(bottomLeft, bottomRight, topRight, viewportMat);
-        viewportTri2 = Triangle(bottomLeft, topRight, topLeft, viewportMat);
-        
-        // 设置UV坐标（用于纹理映射到最终图像）
-        viewportTri1.setUV(Vec3(0, 1, 0), Vec3(1, 1, 0), Vec3(1, 0, 0));  // 注意Y轴翻转
-        viewportTri2.setUV(Vec3(0, 1, 0), Vec3(1, 0, 0), Vec3(0, 0, 0));
-    }
-    
-    void render(Scene& scene, const std::string& filename) {
-        std::vector<Triangle*> triPtrs = scene.getTrianglePointers();
-        int maxDepth = 4;
-        
-        std::cout << "Rendering viewport triangle 1..." << std::endl;
-        Texture tex1 = renderTriangleWithTriangle(triPtrs, position, viewportTri1, width, height, 0, maxDepth, scene);
-        
-        std::cout << "Rendering viewport triangle 2..." << std::endl;
-        Texture tex2 = renderTriangleWithTriangle(triPtrs, position, viewportTri2, width, height, 0, maxDepth, scene);
-        
-        // 合并两个三角形的纹理到最终图像
-        Texture finalImage(width, height);
-        
-        for (int y = 0; y < height; ++y) {
-            for (int x = 0; x < width; ++x) {
-                double u = (x + 0.5) / width;
-                double v = (y + 0.5) / height;
-                
-                // 计算在viewport平面上的3D位置
-                Vec3 forward = (lookAt - position).normalized();
-                Vec3 right = forward.cross(up).normalized();
-                Vec3 upVec = right.cross(forward).normalized();
-                
-                double aspectRatio = (double)width / height;
-                double halfHeight = std::tan(fov * 0.5 * M_PI / 180.0);
-                double halfWidth = aspectRatio * halfHeight;
-                
-                Vec3 center = position + forward;
-                Vec3 point = center + right * (u * 2 - 1) * halfWidth + upVec * (1 - v * 2) * halfHeight;
-                
-                // 检查点在哪个三角形内
-                double bu, bv, bw;
-                if (viewportTri1.barycentricCoords(point, bu, bv, bw) && bu >= 0 && bv >= 0 && bw >= 0) {
-                    Vec3 uv = viewportTri1.getUVFromBarycentric(bu, bv, bw);
-                    finalImage.setPixel(x, y, tex1.sample(uv.x, uv.y));
-                } else if (viewportTri2.barycentricCoords(point, bu, bv, bw) && bu >= 0 && bv >= 0 && bw >= 0) {
-                    Vec3 uv = viewportTri2.getUVFromBarycentric(bu, bv, bw);
-                    finalImage.setPixel(x, y, tex2.sample(uv.x, uv.y));
-                }
-            }
-        }
-        
-        // 写入PPM文件
-        writePPM(filename, finalImage);
-        std::cout << "Image saved to " << filename << std::endl;
-    }
-    
-    void writePPM(const std::string& filename, const Texture& image) {
-        std::ofstream file(filename);
-        file << "P3\n" << image.width << " " << image.height << "\n255\n";
-        
-        for (int y = 0; y < image.height; ++y) {
-            for (int x = 0; x < image.width; ++x) {
-                Color c = image.getPixel(x, y).clamped();
-                int r = (int)(c.r * 255);
-                int g = (int)(c.g * 255);
-                int b = (int)(c.b * 255);
-                file << r << " " << g << " " << b << "\n";
-            }
-        }
-        
-        file.close();
-    }
-};
-
-// ==================== 构建Cornell Box场景 ====================
-
-void buildCornellBox(Scene& scene) {
-    // Cornell Box尺寸：大约 [-1, 1] x [0, 2] x [-1, 1]
-    double boxSize = 1.0;
-    
-    // 材质定义
-    Material whiteDiffuse(MaterialType::Diffuse, Color(0.75, 0.75, 0.75));
-    Material redDiffuse(MaterialType::Diffuse, Color(0.75, 0.15, 0.15));
-    Material greenDiffuse(MaterialType::Diffuse, Color(0.15, 0.75, 0.15));
-    Material blueReflective(MaterialType::Reflective, Color(0.2, 0.4, 0.8), 0.85);
-    Material yellowReflective(MaterialType::Reflective, Color(0.8, 0.7, 0.2), 0.85);
-    Material lightEmissive(MaterialType::Emissive, Color(1.0, 0.95, 0.9));
-    
-    // 地板（白色）
-    scene.addQuad(
-        Vec3(-boxSize, 0, -boxSize),
-        Vec3(boxSize, 0, -boxSize),
-        Vec3(boxSize, 0, boxSize),
-        Vec3(-boxSize, 0, boxSize),
-        whiteDiffuse
-    );
-    
-    // 天花板（白色）
-    scene.addQuad(
-        Vec3(-boxSize, 2 * boxSize, boxSize),
-        Vec3(boxSize, 2 * boxSize, boxSize),
-        Vec3(boxSize, 2 * boxSize, -boxSize),
-        Vec3(-boxSize, 2 * boxSize, -boxSize),
-        whiteDiffuse
-    );
-    
-    // 后墙（白色）
-    scene.addQuad(
-        Vec3(-boxSize, 0, -boxSize),
-        Vec3(-boxSize, 2 * boxSize, -boxSize),
-        Vec3(boxSize, 2 * boxSize, -boxSize),
-        Vec3(boxSize, 0, -boxSize),
-        whiteDiffuse
-    );
-    
-    // 左墙（红色）
-    scene.addQuad(
-        Vec3(-boxSize, 0, boxSize),
-        Vec3(-boxSize, 2 * boxSize, boxSize),
-        Vec3(-boxSize, 2 * boxSize, -boxSize),
-        Vec3(-boxSize, 0, -boxSize),
-        redDiffuse
-    );
-    
-    // 右墙（绿色）
-    scene.addQuad(
-        Vec3(boxSize, 0, -boxSize),
-        Vec3(boxSize, 2 * boxSize, -boxSize),
-        Vec3(boxSize, 2 * boxSize, boxSize),
-        Vec3(boxSize, 0, boxSize),
-        greenDiffuse
-    );
-    
-    // 顶部灯光（发光面板）
-    scene.addQuad(
-        Vec3(-0.25, 1.99, -0.25),
-        Vec3(0.25, 1.99, -0.25),
-        Vec3(0.25, 1.99, 0.25),
-        Vec3(-0.25, 1.99, 0.25),
-        lightEmissive
-    );
-    
-    // 蓝色金属盒子（左侧，稍微旋转）
-    double boxHeight1 = 0.6;
-    double boxWidth1 = 0.35;
-    Vec3 box1Center(-0.4, boxHeight1 / 2, -0.2);
-    
-    // 简化：使用轴对齐的盒子
-    scene.addBox(
-        Vec3(box1Center.x - boxWidth1/2, 0, box1Center.z - boxWidth1/2),
-        Vec3(box1Center.x + boxWidth1/2, boxHeight1, box1Center.z + boxWidth1/2),
-        blueReflective
-    );
-    
-    // 黄色金属盒子（右侧，更高一些）
-    double boxHeight2 = 0.9;
-    double boxWidth2 = 0.35;
-    Vec3 box2Center(0.35, boxHeight2 / 2, 0.15);
-    
-    scene.addBox(
-        Vec3(box2Center.x - boxWidth2/2, 0, box2Center.z - boxWidth2/2),
-        Vec3(box2Center.x + boxWidth2/2, boxHeight2, box2Center.z + boxWidth2/2),
-        yellowReflective
-    );
-    
-    // 设置光源
-    scene.lightPosition = Vec3(0, 1.95, 0);
-    scene.lightColor = Color(1, 1, 1);
-    scene.ambientLight = Color(0.05, 0.05, 0.05);
-}
-
-// ==================== 主函数 ====================
-
-int main() {
-    std::cout << "=== Panel-based Cornell Box Renderer ===" << std::endl;
-    std::cout << "Building scene..." << std::endl;
-    
-    Scene scene;
-    buildCornellBox(scene);
-    
-    std::cout << "Scene contains " << scene.triangles.size() << " triangles." << std::endl;
-    
-    // 设置相机
-    Vec3 cameraPos(0, 1, 2.5);
-    Vec3 lookAt(0, 1, 0);
-    Vec3 up(0, 1, 0);
-    
-    int imageWidth = 400;
-    int imageHeight = 400;
-    double fov = 50.0;
-    
-    Camera camera(cameraPos, lookAt, up, fov, imageWidth, imageHeight);
-    
-    std::cout << "Starting render at " << imageWidth << "x" << imageHeight << "..." << std::endl;
-    
-    camera.render(scene, "cornell_box.ppm");
-    
-    std::cout << "Render complete!" << std::endl;
-    
-    return 0;
-}

experiments/rt12.cpp

@@ -1,620 +0,0 @@
-/*
- * Cornell Box Renderer based on Recursive Viewport Texture Transformation
- * Compilation: g++ -O3 -std=c++17 main.cpp -o renderer
- */
-
-#include <iostream>
-#include <vector>
-#include <cmath>
-#include <algorithm>
-#include <limits>
-#include <memory>
-#include <iomanip>
-
-// --- Constants & Configuration ---
-const int IMAGE_WIDTH = 800;
-const int IMAGE_HEIGHT = 600;
-const int MAX_DEPTH = 5;
-const float AREA_THRESHOLD = 4.0f; // Stop recursion if projected area is less than 4 pixels
-const float EPSILON = 1e-4f;
-
-// --- Basic Math Structures ---
-struct Vec3 {
-    float x, y, z;
-
-    Vec3() : x(0), y(0), z(0) {}
-    Vec3(float x, float y, float z) : x(x), y(y), z(z) {}
-
-    Vec3 operator+(const Vec3& v) const { return Vec3(x + v.x, y + v.y, z + v.z); }
-    Vec3 operator-(const Vec3& v) const { return Vec3(x - v.x, y - v.y, z - v.z); }
-    Vec3 operator*(float t) const { return Vec3(x * t, y * t, z * t); }
-    Vec3 operator/(float t) const { return Vec3(x / t, y / t, z / t); }
-    float dot(const Vec3& v) const { return x * v.x + y * v.y + z * v.z; }
-    Vec3 cross(const Vec3& v) const { return Vec3(y * v.z - z * v.y, z * v.x - x * v.z, x * v.y - y * v.x); }
-    float length() const { return std::sqrt(x * x + y * y + z * z); }
-    Vec3 normalize() const { float l = length(); if (l > 0) return *this / l; return *this; }
-    
-    // Component-wise min/max for bounding box
-    Vec3 min(const Vec3& v) const { return Vec3(std::min(x, v.x), std::min(y, v.y), std::min(z, v.z)); }
-    Vec3 max(const Vec3& v) const { return Vec3(std::max(x, v.x), std::max(y, v.y), std::max(z, v.z)); }
-};
-
-struct Color {
-    unsigned char r, g, b;
-    Color() : r(0), g(0), b(0) {}
-    Color(float fr, float fg, float fb) {
-        r = static_cast<unsigned char>(std::min(255.0f, std::max(0.0f, fr * 255.0f)));
-        g = static_cast<unsigned char>(std::min(255.0f, std::max(0.0f, fg * 255.0f)));
-        b = static_cast<unsigned char>(std::min(255.0f, std::max(0.0f, fb * 255.0f)));
-    }
-    Color(unsigned char r, unsigned char g, unsigned char b) : r(r), g(g), b(b) {}
-    
-    Color operator*(float t) const {
-        return Color(r * t, g * t, b * t);
-    }
-    // Alpha blending helper
-    Color blendOver(const Color& background, float alpha) const {
-        float invAlpha = 1.0f - alpha;
-        return Color(
-            r * alpha + background.r * invAlpha,
-            g * alpha + background.g * invAlpha,
-            b * alpha + background.b * invAlpha
-        );
-    }
-};
-
-// --- Texture Class (2D Image Buffer) ---
-class Texture {
-public:
-    int width, height;
-    std::vector<Color> data;
-
-    Texture() : width(0), height(0) {}
-    Texture(int w, int h) : width(w), height(h), data(w * h, Color(0.0f, 0.0f, 0.0f)) {}
-
-    void setPixel(int x, int y, const Color& c) {
-        if (x >= 0 && x < width && y >= 0 && y < height) {
-            data[y * width + x] = c;
-        }
-    }
-
-    Color getPixel(float u, float v) const {
-        // Clamp or wrap? Let's clamp for UV mapping safety
-        u = std::max(0.0f, std::min(1.0f, u));
-        v = std::max(0.0f, std::min(1.0f, v));
-        
-        int x = static_cast<int>(u * (width - 1));
-        int y = static_cast<int>(v * (height - 1));
-        return data[y * width + x];
-    }
-    
-    // Resampling (Bilinear-ish approximation for texture mapping)
-    Color sample(float u, float v) const {
-        return getPixel(u, v);
-    }
-};
-
-// --- Geometry & Math Helpers ---
-
-// Plane defined by normal N and point P
-float planeDist(const Vec3& N, const Vec3& P, const Vec3& X) {
-    return (X - P).dot(N);
-}
-
-// Ray-Triangle Intersection (Möller–Trumbore for culling visibility checks)
-// Returns distance, -1 if no hit
-float rayTriangleIntersect(const Vec3& orig, const Vec3& dir, const Vec3& v0, const Vec3& v1, const Vec3& v2) {
-    Vec3 edge1 = v1 - v0;
-    Vec3 edge2 = v2 - v0;
-    Vec3 h = dir.cross(edge2);
-    float a = edge1.dot(h);
-    if (std::abs(a) < EPSILON) return -1; // Parallel
-    float f = 1.0 / a;
-    Vec3 s = orig - v0;
-    float u = f * s.dot(h);
-    if (u < 0.0 || u > 1.0) return -1;
-    Vec3 q = s.cross(edge1);
-    float v = f * dir.dot(q);
-    if (v < 0.0 || u + v > 1.0) return -1;
-    float t = f * edge2.dot(q);
-    if (t > EPSILON) return t;
-    return -1;
-}
-
-// Project 3D point P onto Plane defined by N and point P_plane
-Vec3 projectOnPlane(const Vec3& P, const Vec3& N, const Vec3& P_plane) {
-    float d = (P - P_plane).dot(N);
-    return P - N * d;
-}
-
-// Barycentric coordinates
-Vec3 barycentric(const Vec3& P, const Vec3& A, const Vec3& B, const Vec3& C) {
-    Vec3 v0 = B - A, v1 = C - A, v2 = P - A;
-    float d00 = v0.dot(v0);
-    float d01 = v0.dot(v1);
-    float d11 = v1.dot(v1);
-    float d20 = v2.dot(v0);
-    float d21 = v2.dot(v1);
-    float denom = d00 * d11 - d01 * d01;
-    float v = (d11 * d20 - d01 * d21) / denom;
-    float w = (d00 * d21 - d01 * d20) / denom;
-    float u = 1.0f - v - w;
-    return Vec3(u, v, w);
-}
-
-// --- Triangle Class ---
-enum MaterialType { DIFFUSE, REFLECTIVE };
-
-struct Triangle {
-    Vec3 v0, v1, v2;
-    Vec3 normal;
-    Vec3 color; // Base color for Diffuse
-    MaterialType matType;
-    float reflectivity; // 0.0 to 1.0
-    Texture* texture; // Cached rendered texture if any (optional usage)
-    
-    // Cached bounding box for optimization
-    Vec3 boundsMin, boundsMax;
-
-    Triangle(Vec3 v0, Vec3 v1, Vec3 v2, Vec3 col, MaterialType mt = DIFFUSE, float refl = 0.0) 
-        : v0(v0), v1(v1), v2(v2), color(col), matType(mt), reflectivity(refl), texture(nullptr) {
-        
-        Vec3 e1 = v1 - v0;
-        Vec3 e2 = v2 - v0;
-        normal = e1.cross(e2).normalize();
-        
-        boundsMin = v0.min(v1).min(v2);
-        boundsMax = v0.max(v1).max(v2);
-    }
-    
-    float area() const {
-        return (v1 - v0).cross(v2 - v0).length() * 0.5f;
-    }
-};
-
-// --- Forward Declarations ---
-class Camera;
-Texture renderTriangleWithTriangle(const std::vector<Triangle*>& scene, const Vec3& origin, Triangle* viewportTri, int depth, float estArea);
-
-// --- Camera Class ---
-class Camera {
-public:
-    Vec3 origin;
-    Triangle* viewportLeft;
-    Triangle* viewportRight;
-    int width, height;
-
-    Camera(Vec3 o, Triangle* left, Triangle* right, int w, int h) 
-        : origin(o), viewportLeft(left), viewportRight(right), width(w), height(h) {}
-
-    void render(const std::vector<Triangle*>& scene, const std::string& filename) {
-        // Render the two triangles representing the image plane
-        // We need to map these triangles to the full image pixels. 
-        // However, the algorithm asks to render the triangles. 
-        // Since the viewport is exactly the image plane, the texture of these triangles IS the image.
-        // We pass the full resolution as the estimated area/resolution for the root call.
-        
-        std::cout << "Rendering Viewport Left..." << std::endl;
-        Texture texLeft = renderTriangleWithTriangle(scene, origin, viewportLeft, 0, width * height);
-        
-        std::cout << "Rendering Viewport Right..." << std::endl;
-        Texture texRight = renderTriangleWithTriangle(scene, origin, viewportRight, 0, width * height);
-
-        // Combine into PPM. 
-        // The Left and Right triangles might overlap or split the screen. 
-        // Assuming they split the screen vertically or form a quad.
-        // Let's assume they form a Quad: Left (Left half), Right (Right half).
-        
-        std::ofstream file(filename);
-        file << "P3\n" << width << " " << height << "\n255\n";
-        
-        // Naive combination: scan pixels.
-        // Since this is a "viewport based" renderer, mapping the triangle texture back to screen pixels 
-        // is technically a reverse lookup. But since the camera viewport triangles ARE the projection surface,
-        // the texture generated for `viewportLeft` covers exactly the region of the screen that triangle projects to.
-        // If we constructed the camera with two triangles covering the whole screen, 
-        // we can just iterate pixels and ask "Which triangle am I in?".
-        // Simplification: We assume the user constructs the viewport such that we can just dump the textures 
-        // or we map the UV of the triangles.
-        
-        // Let's implement a simple rasterizer to combine the two triangles onto the screen buffer.
-        // This is "Post-processing" the triangle textures to the image.
-        
-        std::vector<Vec3> screenBuffer(width * height, Vec3(0,0,0));
-        
-        // Helper to write texture to screen buffer based on projection
-        auto blitTriangle = [&](Triangle* tri, const Texture& tex) {
-            // Bounding box of triangle on screen
-            // We need to project triangle vertices to screen space? 
-            // No, the triangles ARE the viewport. They are defined in 3D at some distance Z.
-            // We need to project them to the screen plane (Z=0 or near plane).
-            // Actually, simpler: Use Barycentric in 2D on the XY plane if camera looks along Z.
-            // Let's assume standard Cornell Box orientation: Camera looks +Z.
-            // Viewport is at Z=1 (example). Screen is at Z=0.
-            // We project the 3D viewport triangle to 2D (x,y).
-            
-            float fov_dist = (tri->v0.z - origin.z); // Distance to viewport plane
-            float scale = 1.0f; // Adjust based on aspect ratio/FOV setup
-            
-            // Map World X,Y to Screen X,Y
-            // Assume orthographic scaling for simplicity of this specific mapping step
-            // or perspective divide.
-            
-            for(int y = 0; y < height; ++y) {
-                for(int x = 0; x < width; ++x) {
-                    // Convert pixel to world coord at viewport plane
-                    float u = (float)x / width;
-                    float v = (float)y / height; // Flip Y?
-                    
-                    // This logic is getting coupled to how we constructed the camera.
-                    // Alternative: The Texture returned by renderTriangleWithTriangle is already "rasterized" 
-                    // in its own UV space.
-                    // We need to know UV coordinates for the viewport triangles to index the texture.
-                    // Since we didn't store UVs in Triangle class explicitly, let's add a rasterizer 
-                    // that draws the triangle pixels.
-                    
-                    // Perspective Projection mapping:
-                    // Screen Pixel (x,y) -> Ray -> Intersect Viewport Plane -> UV
-                }
-            }
-        };
-
-        // To keep it robust and simple without a full rasterizer in main:
-        // We will just create a Texture for the Whole Screen, and renderTriangleWithTriangle
-        // will effectively draw onto the screen buffer if we pass the screen buffer.
-        // BUT, the requirement says: "Camera... calls render function twice and dumps texture to PPM".
-        // This implies the textures ARE the final image (or parts of it).
-        
-        // Let's assume the viewport triangles cover the screen exactly: Left is [0, 0.5], Right is [0.5, 1.0].
-        
-        for (int j = 0; j < height; j++) {
-            for (int i = 0; i < width; i++) {
-                Color c(0,0,0);
-                if (i < width / 2) {
-                    // Map [0, width/2] to [0, texWidth]
-                    float u = (float)i / (width / 2);
-                    float v = 1.0f - (float)j / height; 
-                    c = texLeft.getPixel(u, v);
-                } else {
-                    // Map [width/2, width] to [0, texWidth]
-                    float u = (float)(i - width / 2) / (width / 2);
-                    float v = 1.0f - (float)j / height;
-                    c = texRight.getPixel(u, v);
-                }
-                file << static_cast<int>(c.r) << " " << static_cast<int>(c.g) << " " << static_cast<int>(c.b) << "\n";
-            }
-        }
-        file.close();
-    }
-};
-
-// --- Core Algorithm Implementation ---
-
-// A simple Frustum for culling/traversal
-struct Frustum {
-    Vec3 apex; // Origin
-    Vec3 p0, p1, p2, p3; // Quad base of the frustum
-    Vec3 n0, n1, n2, n3; // Plane normals (left, right, top, bottom) pointing inwards
-    
-    Frustum(const Vec3& eye, const Vec3& v0, const Vec3& v1, const Vec3& v2) {
-        apex = eye;
-        // v0, v1, v2 define the viewport triangle. We extend it slightly to depth for intersection tests.
-        // Actually, for "Frustum Culling", we need 4 planes.
-        // A triangle viewport defines a pyramid with a triangular base (3 planes).
-        p0 = v0; p1 = v1; p2 = v2;
-        
-        Vec3 edge0 = (v1 - v0).cross(apex - v0).normalize(); // Plane through Eye-V1-V0
-        Vec3 edge1 = (v2 - v1).cross(apex - v1).normalize(); // Plane through Eye-V2-V1
-        Vec3 edge2 = (v0 - v2).cross(apex - v2).normalize(); // Plane through Eye-V0-V2
-        
-        n0 = edge0; n1 = edge1; n2 = edge2;
-    }
-    
-    // Check if a triangle is potentially inside the frustum
-    bool intersects(const Triangle* tri) {
-        // Check bounding box center against the 3 planes
-        Vec3 center = (tri->boundsMin + tri->boundsMax) * 0.5f;
-        
-        // If center is behind any of the 3 planes (dot product < 0), it's outside
-        if ((center - apex).dot(n0) < -EPSILON) return false;
-        if ((center - apex).dot(n1) < -EPSILON) return false;
-        if ((center - apex).dot(n2) < -EPSILON) return false;
-        
-        // Also check if it is completely behind the viewport plane (culling back geometry)
-        // Viewport plane normal should point towards camera (apex)
-        Vec3 vpNormal = (p1 - p0).cross(p2 - p0).normalize();
-        if ((center - p0).dot(vpNormal) < 0 && (apex - p0).dot(vpNormal) > 0) {
-             // Object is behind the viewport relative to camera
-        }
-        
-        return true; // Simplified coarse check
-    }
-};
-
-// Distance comparison for sorting
-float distanceSquared(const Vec3& a, const Vec3& b) {
-    Vec3 d = a - b;
-    return d.dot(d);
-}
-
-Texture renderTriangleWithTriangle(const std::vector<Triangle*>& scene, const Vec3& origin, Triangle* viewportTri, int depth, float estArea) {
-    // Termination
-    if (depth > MAX_DEPTH || estArea < AREA_THRESHOLD) {
-        // Return black or simple base color if stopped
-        return Texture(2, 2); // Dummy small texture
-    }
-    
-    // Initialize Texture for this viewport
-    // We map the 3D triangle area to pixel dimensions
-    float aspect = viewportTri->area(); 
-    int texW = static_cast<int>(std::sqrt(estArea * (viewportTri->v1 - viewportTri->v0).length() / (viewportTri->v2 - viewportTri->v0).length())) + 1;
-    int texH = static_cast<int>(estArea / texW) + 1;
-    
-    // Clamp texture size to reasonable limits
-    texW = std::min(1024, std::max(2, texW));
-    texH = std::min(1024, std::max(2, texH));
-    
-    Texture resultTex(texW, texH);
-    
-    // Fill with background (Black)
-    std::fill(resultTex.data.begin(), resultTex.data.end(), Color(0.0f,0.0f,0.0f));
-    
-    // If Diffuse, just return solid color texture
-    if (viewportTri->matType == DIFFUSE) {
-        std::fill(resultTex.data.begin(), resultTex.data.end(), Color(viewportTri->color));
-        return resultTex;
-    }
-    
-    // --- Reflection / Rendering Logic ---
-    
-    // 1. Create Frustum
-    Frustum frustum(origin, viewportTri->v0, viewportTri->v1, viewportTri->v2);
-    Vec3 vpNormal = (viewportTri->v1 - viewportTri->v0).cross(viewportTri->v2 - viewportTri->v0).normalize();
-    
-    // 2. Collect & Sort visible triangles
-    std::vector<Triangle*> visibleTris;
-    for (Triangle* tri : scene) {
-        if (tri == viewportTri) continue; // Don't self-intersect
-        if (frustum.intersects(tri)) {
-            // Refine: Check if triangle is in front of viewport?
-            // If it's behind, it shouldn't reflect (unless translucent, ignored here)
-            Vec3 triCenter = (tri->boundsMin + tri->boundsMax) * 0.5f;
-            // Dot product with viewport normal
-            float dist = (triCenter - viewportTri->v0).dot(vpNormal);
-            if (dist > EPSILON) { // In front of the viewport triangle
-                visibleTris.push_back(tri);
-            }
-        }
-    }
-    
-    // Sort by distance (Far to Near)
-    std::sort(visibleTris.begin(), visibleTris.end(), [&](const Triangle* a, const Triangle* b) {
-        float da = distanceSquared(origin, (a->boundsMin + a->boundsMax)*0.5f);
-        float db = distanceSquared(origin, (b->boundsMin + b->boundsMax)*0.5f);
-        return da > db;
-    });
-    
-    // 3. Render each visible triangle onto resultTex
-    for (Triangle* objTri : visibleTris) {
-        
-        // A. Recursive Call
-        // "Reflect camera origin about current viewport... simulate reflection behavior"
-        Vec3 newOrigin;
-        if (viewportTri->matType == REFLECTIVE) {
-            // Reflection formula: r = d - 2(d.n)n. Here d = (Origin - PointOnPlane).
-            // We reflect the Origin point.
-            Vec3 d = origin - viewportTri->v0;
-            newOrigin = origin - vpNormal * 2 * d.dot(vpNormal);
-        } else {
-            newOrigin = origin;
-        }
-        
-        // Calculate new estimated area (projection of objTri onto viewportTri)
-        // Roughly proportional to solid angle
-        float dist = (objTri->boundsMin - origin).length();
-        float newEstArea = (objTri->area() / (dist * dist)) * 100000.0f; // Heuristic scaling
-        newEstArea = std::max(5.0f, newEstArea); // Prevent instant cut-off
-        
-        // Recursion
-        Texture objTexture = renderTriangleWithTriangle(scene, newOrigin, objTri, depth + 1, newEstArea);
-        
-        // B. Texture Mapping (Project objTri onto viewportTri)
-        
-        // Precompute coordinates
-        // We iterate over the TARGET texture (viewportTri) pixels
-        // Check if pixel projects onto objTri
-        
-        Vec3 e0 = viewportTri->v1 - viewportTri->v0;
-        Vec3 e1 = viewportTri->v2 - viewportTri->v0;
-        
-        // Optimized rasterization: Check bounding box of objTri projection
-        // Project objTri center to viewportTri UV to find region of interest
-        Vec3 objCenter = (objTri->v0 + objTri->v1 + objTri->v2) * 0.333f;
-        Vec3 centerOnPlane = projectOnPlane(objCenter, vpNormal, viewportTri->v0);
-        Vec3 bary = barycentric(centerOnPlane, viewportTri->v0, viewportTri->v1, viewportTri->v2);
-        
-        // Radius in UV space
-        float radius = (objTri->boundsMax - objTri->boundsMin).length() / (dist * 0.5f);
-        
-        // Iterate pixels in resultTex
-        // We iterate over a bounding box in the texture corresponding to the projection
-        // For simplicity in this "One File" constraint, we iterate all pixels or a bounding box.
-        // Let's iterate all pixels of resultTex (might be slow for high res, but correct).
-        // Optimization: Only iterate near bary.
-        
-        int minU = std::max(0, (int)((bary.x - radius) * texW));
-        int maxU = std::min(texW, (int)((bary.x + radius) * texW));
-        int minV = std::max(0, (int)((bary.y - radius) * texH));
-        int maxV = std::min(texH, (int)((bary.y + radius) * texH));
-        
-        for (int y = minV; y < maxV; ++y) {
-            for (int x = minU; x < maxU; ++x) {
-                float u = (float)x / texW;
-                float v = (float)y / texH;
-                
-                // Current point on viewport triangle in 3D
-                Vec3 P_on_viewport = viewportTri->v0 + e0 * u + e1 * v;
-                
-                // Barycentric check on Viewport Triangle (optional, strictly texture is rectangular, 
-                // but triangle texture implies shape).
-                // The problem says "Triangle... texture image". 
-                // We should only draw if (u,v) is inside the triangle? 
-                // Actually, texture is usually a rectangle containing the triangle. 
-                // Let's assume (u,v) covers the bounding box of the triangle in texture space.
-                // To keep it simple and strictly triangle: Check if P is inside viewportTri
-                if (barycentric(P_on_viewport, viewportTri->v0, viewportTri->v1, viewportTri->v2).x < 0) continue;
-
-                // Check if P is inside projected objTri
-                // Ray from origin to P. Intersect objTri plane?
-                // Perspective division is needed if we use the "Reflective Camera" concept.
-                // However, we already have P_on_viewport.
-                // We need to know which texel of objTri covers P.
-                // This is equivalent to: Ray from newOrigin passes through P_on_viewport and hits objTri.
-                
-                Vec3 rayDir = (P_on_viewport - newOrigin).normalize();
-                float t = rayTriangleIntersect(newOrigin, rayDir, objTri->v0, objTri->v1, objTri->v2);
-                
-                if (t > 0) {
-                    // Hit! 
-                    // Calculate UV on objTri
-                    Vec3 hitPoint = newOrigin + rayDir * t;
-                    Vec3 baryObj = barycentric(hitPoint, objTri->v0, objTri->v1, objTri->v2);
-                    
-                    // Sample texture
-                    Color srcColor = objTexture.sample(baryObj.x, baryObj.y);
-                    
-                    // Blend with reflection intensity
-                    float alpha = viewportTri->reflectivity; 
-                    // If not fully reflective, mix with base color?
-                    // Problem says: "For diffuse... return texture". "Reflective... calculate".
-                    // Usually: Result = mix(Texture, Reflection, reflectivity).
-                    // But here we are building the texture from scratch.
-                    // We accumulate reflected objects.
-                    
-                    Color current = resultTex.getPixel(u, v);
-                    Color final = srcColor.blendOver(current, alpha); 
-                    // Or just simple Add/Over. Since we sorted far to near, Over works.
-                    
-                    resultTex.setPixel(x, y, final);
-                }
-            }
-        }
-    }
-    
-    return resultTex;
-}
-
-// --- Scene Setup ---
-void createCornellBox(std::vector<Triangle>& triangles, Camera& cam) {
-    // Coordinates: Z is up or Y is up? Let's use Y up.
-    // Box dimensions: 
-    // Floor: y=0, Width=555, Depth=555
-    // Ceiling: y=555
-    // Left Wall: x=0 (Red)
-    // Right Wall: x=555 (Green)
-    // Back Wall: z=555 (White/Grey) or z=0?
-    // Front: z=0 (Open) or Camera at z=0 looking at z=555.
-    
-    float W = 555;
-    float H = 555;
-    float D = 555;
-    
-    auto makeQuad = [&](Vec3 a, Vec3 b, Vec3 c, Vec3 d, Vec3 col, MaterialType mat=DIFFUSE) {
-        // Two triangles
-        triangles.emplace_back(a, b, c, col, mat);
-        triangles.emplace_back(a, c, d, col, mat);
-    };
-    
-    // Floor (y=0) - White
-    makeQuad(Vec3(0,0,0), Vec3(W,0,0), Vec3(W,0,D), Vec3(0,0,D), Vec3(0.73, 0.73, 0.73));
-    
-    // Ceiling (y=H) - White (Light)
-    // Let's make a small light patch or just full white ceiling for simplicity
-    makeQuad(Vec3(0,H,D), Vec3(W,H,D), Vec3(W,H,0), Vec3(0,H,0), Vec3(0.73, 0.73, 0.73));
-    
-    // Back Wall (z=D) - White
-    makeQuad(Vec3(0,0,D), Vec3(0,H,D), Vec3(W,H,D), Vec3(W,0,D), Vec3(0.73, 0.73, 0.73));
-    
-    // Right Wall (x=W) - Green
-    makeQuad(Vec3(W,0,D), Vec3(W,H,D), Vec3(W,H,0), Vec3(W,0,0), Vec3(0.12, 0.45, 0.15));
-    
-    // Left Wall (x=0) - Red
-    makeQuad(Vec3(0,0,0), Vec3(0,H,0), Vec3(0,H,D), Vec3(0,0,D), Vec3(0.65, 0.05, 0.05));
-    
-    // Tall Box (Left-ish) - Silver/Reflective (Yellow tint per request?)
-    // Request: "One Blue One Yellow". Let's do Yellow.
-    // Pos: x ~ 100-200, z ~ 200-350.
-    // Rotated? Simplified: Axis aligned.
-    Vec3 b1_min(130, 0, 265);
-    Vec3 b1_max(295, 330, 420); // Tall box
-    makeQuad(Vec3(b1_min.x, b1_min.y, b1_max.z), Vec3(b1_max.x, b1_min.y, b1_max.z), Vec3(b1_max.x, b1_max.y, b1_max.z), Vec3(b1_min.x, b1_max.y, b1_max.z), Vec3(0.8, 0.8, 0.2), REFLECTIVE); // Front
-    makeQuad(Vec3(b1_max.x, b1_min.y, b1_min.z), Vec3(b1_min.x, b1_min.y, b1_min.z), Vec3(b1_min.x, b1_max.y, b1_min.z), Vec3(b1_max.x, b1_max.y, b1_min.z), Vec3(0.8, 0.8, 0.2), REFLECTIVE); // Back
-    makeQuad(Vec3(b1_min.x, b1_min.y, b1_min.z), Vec3(b1_min.x, b1_min.y, b1_max.z), Vec3(b1_min.x, b1_max.y, b1_max.z), Vec3(b1_min.x, b1_max.y, b1_min.z), Vec3(0.8, 0.8, 0.2), REFLECTIVE); // Left
-    makeQuad(Vec3(b1_max.x, b1_min.y, b1_max.z), Vec3(b1_max.x, b1_min.y, b1_min.z), Vec3(b1_max.x, b1_max.y, b1_min.z), Vec3(b1_max.x, b1_max.y, b1_max.z), Vec3(0.8, 0.8, 0.2), REFLECTIVE); // Right
-    makeQuad(Vec3(b1_min.x, b1_max.y, b1_min.z), Vec3(b1_max.x, b1_max.y, b1_min.z), Vec3(b1_max.x, b1_max.y, b1_max.z), Vec3(b1_min.x, b1_max.y, b1_max.z), Vec3(0.8, 0.8, 0.2), REFLECTIVE); // Top
-
-    // Short Box (Right-ish) - Blue/Reflective
-    Vec3 b2_min(340, 0, 100);
-    Vec3 b2_max(500, 165, 260);
-    makeQuad(Vec3(b2_min.x, b2_min.y, b2_max.z), Vec3(b2_max.x, b2_min.y, b2_max.z), Vec3(b2_max.x, b2_max.y, b2_max.z), Vec3(b2_min.x, b2_max.y, b2_max.z), Vec3(0.2, 0.2, 0.8), REFLECTIVE);
-    makeQuad(Vec3(b2_max.x, b2_min.y, b2_min.z), Vec3(b2_min.x, b2_min.y, b2_min.z), Vec3(b2_min.x, b2_max.y, b2_min.z), Vec3(b2_max.x, b2_max.y, b2_min.z), Vec3(0.2, 0.2, 0.8), REFLECTIVE);
-    makeQuad(Vec3(b2_min.x, b2_min.y, b2_min.z), Vec3(b2_min.x, b2_min.y, b2_max.z), Vec3(b2_min.x, b2_max.y, b2_max.z), Vec3(b2_min.x, b2_max.y, b2_min.z), Vec3(0.2, 0.2, 0.8), REFLECTIVE);
-    makeQuad(Vec3(b2_max.x, b2_min.y, b2_max.z), Vec3(b2_max.x, b2_min.y, b2_min.z), Vec3(b2_max.x, b2_max.y, b2_min.z), Vec3(b2_max.x, b2_max.y, b2_max.z), Vec3(0.2, 0.2, 0.8), REFLECTIVE);
-    makeQuad(Vec3(b2_min.x, b2_max.y, b2_min.z), Vec3(b2_max.x, b2_max.y, b2_min.z), Vec3(b2_max.x, b2_max.y, b2_max.z), Vec3(b2_min.x, b2_max.y, b2_max.z), Vec3(0.2, 0.2, 0.8), REFLECTIVE);
-
-    // Camera
-    // Look from (278, 278, -800) at (278, 278, 0). Up (0, 1, 0).
-    Vec3 camPos(278, 273, -800); // Slightly adjusted height
-    Vec3 target(278, 273, 0);
-    Vec3 up(0, 1, 0);
-    
-    // Viewport setup
-    float distToView = 800; // Distance from camera to viewport plane (z=0)
-    float viewW = 555 * 1.5; // Zoom
-    float viewH = viewW * (IMAGE_HEIGHT / IMAGE_WIDTH);
-    
-    Vec3 viewCenter = target;
-    Vec3 camDir = (target - camPos).normalize();
-    Vec3 camRight = camDir.cross(up).normalize();
-    Vec3 camUp_real = camRight.cross(camDir);
-    
-    Vec3 vTL = viewCenter - camRight * (viewW/2) + camUp_real * (viewH/2);
-    Vec3 vTR = viewCenter + camRight * (viewW/2) + camUp_real * (viewH/2);
-    Vec3 vBL = viewCenter - camRight * (viewW/2) - camUp_real * (viewH/2);
-    Vec3 vBR = viewCenter + camRight * (viewW/2) - camUp_real * (viewH/2);
-    
-    // Split viewport into two triangles
-    // Note: These are temporary objects created in the vector, pointers must remain valid.
-    // We pass pointers to Camera.
-    
-    Triangle* vpLeft = new Triangle(vTL, vBL, vTR, Vec3(1,1,1), DIFFUSE); // Color irrelevant
-    Triangle* vpRight = new Triangle(vBL, vBR, vTR, Vec3(1,1,1), DIFFUSE);
-    
-    triangles.push_back(*vpLeft);
-    triangles.push_back(*vpRight);
-    
-    // Update pointers to point to the vector storage
-    vpLeft = &triangles[triangles.size()-2];
-    vpRight = &triangles[triangles.size()-1];
-    
-    cam = Camera(camPos, vpLeft, vpRight, IMAGE_WIDTH, IMAGE_HEIGHT);
-}
-
-// --- Main ---
-int main() {
-    std::vector<Triangle> triangles;
-    Camera cam(Vec3(0,0,0), nullptr, nullptr, 0, 0);
-    
-    createCornellBox(triangles, cam);
-    
-    std::vector<Triangle*> scenePtrs;
-    for(auto& t : triangles) {
-        scenePtrs.push_back(&t);
-    }
-    
-    std::cout << "Starting render..." << std::endl;
-    cam.render(scenePtrs, "cornell_box.ppm");
-    std::cout << "Finished render. Output: cornell_box.ppm" << std::endl;
-    
-    return 0;
-}

experiments/rt2.cpp

@@ -1,974 +0,0 @@
-#include <cmath>
-#include <vector>
-#include <iostream>
-#include <fstream>
-#include <limits>
-#include <algorithm>
-
-// ===================== 数学工具 =========================
-
-struct Vec3 {
-    double x, y, z;
-    Vec3() : x(0), y(0), z(0) {}
-    Vec3(double v) : x(v), y(v), z(v) {}
-    Vec3(double x_, double y_, double z_) : x(x_), y(y_), z(z_) {}
-};
-
-struct Vec2 {
-    double x, y;
-    Vec2() : x(0), y(0) {}
-    Vec2(double v) : x(v), y(v) {}
-    Vec2(double x_, double y_) : x(x_), y(y_) {}
-};
-
-inline Vec3 operator-(const Vec3& v) {
-	return Vec3(-v.x, -v.y, -v.z);
-}
-
-inline Vec3 operator+(const Vec3& a, const Vec3& b) {
-    return Vec3(a.x + b.x, a.y + b.y, a.z + b.z);
-}
-inline Vec3 operator-(const Vec3& a, const Vec3& b) {
-    return Vec3(a.x - b.x, a.y - b.y, a.z - b.z);
-}
-inline Vec3 operator*(const Vec3& a, double s) {
-    return Vec3(a.x * s, a.y * s, a.z * s);
-}
-inline Vec3 operator*(double s, const Vec3& a) {
-    return Vec3(a.x * s, a.y * s, a.z * s);
-}
-inline Vec3 operator/(const Vec3& a, double s) {
-    return Vec3(a.x / s, a.y / s, a.z / s);
-}
-inline Vec3 operator*(const Vec3& a, const Vec3& b) {
-    return Vec3(a.x * b.x, a.y * b.y, a.z * b.z);
-}
-inline Vec3& operator+=(Vec3& a, const Vec3& b) {
-    a.x += b.x; a.y += b.y; a.z += b.z; return a;
-}
-
-inline Vec2 operator+(const Vec2& a, const Vec2& b) {
-    return Vec2(a.x + b.x, a.y + b.y);
-}
-inline Vec2 operator-(const Vec2& a, const Vec2& b) {
-    return Vec2(a.x - b.x, a.y - b.y);
-}
-inline Vec2 operator*(const Vec2& a, double s) {
-    return Vec2(a.x * s, a.y * s);
-}
-inline Vec2 operator*(double s, const Vec2& a) {
-    return Vec2(a.x * s, a.y * s);
-}
-inline Vec2 operator/(const Vec2& a, double s) {
-    return Vec2(a.x / s, a.y / s);
-}
-
-inline double dot(const Vec3& a, const Vec3& b) {
-    return a.x*b.x + a.y*b.y + a.z*b.z;
-}
-inline Vec3 cross(const Vec3& a, const Vec3& b) {
-    return Vec3(
-        a.y*b.z - a.z*b.y,
-        a.z*b.x - a.x*b.z,
-        a.x*b.y - a.y*b.x
-    );
-}
-inline double length(const Vec3& v) {
-    return std::sqrt(dot(v, v));
-}
-inline Vec3 normalize(const Vec3& v) {
-    double len = length(v);
-    if (len <= 1e-12) return Vec3(0);
-    return v / len;
-}
-
-// 反射方向：v - 2*(v·n)*n，v 为指向表面的入射方向
-inline Vec3 reflect(const Vec3& v, const Vec3& n) {
-    return v - n * (2.0 * dot(v, n));
-}
-
-inline Vec3 clamp01(const Vec3& c) {
-    return Vec3(
-        std::min(1.0, std::max(0.0, c.x)),
-        std::min(1.0, std::max(0.0, c.y)),
-        std::min(1.0, std::max(0.0, c.z))
-    );
-}
-
-// ===================== 材质 & 三角形 =========================
-
-struct Material {
-    Vec3 baseColor;
-    bool mirror;
-    double reflectivity; // [0,1]
-};
-
-struct Triangle {
-    Vec3 v[3];   // 顶点
-    Vec3 normal; // 面法线
-    Vec2 uv[3];  // 顶点局部纹理坐标
-    const Material* material;
-
-    Triangle() : material(nullptr) {
-        v[0] = v[1] = v[2] = Vec3(0);
-        uv[0] = uv[1] = uv[2] = Vec2(0);
-        normal = Vec3(0,1,0);
-    }
-
-    Triangle(const Vec3& a, const Vec3& b, const Vec3& c, const Material* m) {
-        v[0] = a; v[1] = b; v[2] = c;
-        material = m;
-        normal = normalize(cross(v[1] - v[0], v[2] - v[0]));
-        // 简单局部 UV：三角形自身局部坐标
-        uv[0] = Vec2(0.0, 0.0);
-        uv[1] = Vec2(1.0, 0.0);
-        uv[2] = Vec2(0.0, 1.0);
-    }
-};
-
-// ===================== 相机 =========================
-
-struct Camera {
-    Vec3 pos;
-    Vec3 target;
-    Vec3 up;
-    double fov;
-
-    Vec3 forward;
-    Vec3 right;
-    Vec3 camUp;
-    double invTanHalfFov;
-
-    Camera(const Vec3& p, const Vec3& t, const Vec3& u, double fovDeg)
-        : pos(p), target(t), up(u)
-    {
-        forward = normalize(target - pos);
-        right = normalize(cross(forward, up));
-        camUp = cross(right, forward);
-        fov = fovDeg * M_PI / 180.0;
-        invTanHalfFov = 1.0 / std::tan(fov * 0.5);
-    }
-
-    Vec3 worldToCamera(const Vec3& p) const {
-        Vec3 v = p - pos;
-        return Vec3(
-            dot(v, right),
-            dot(v, camUp),
-            dot(v, forward)
-        );
-    }
-
-    bool projectToScreen(
-        const Vec3& pWorld,
-        int width, int height,
-        double& outX, double& outY, double& outZ
-    ) const {
-        Vec3 pc = worldToCamera(pWorld);
-        if (pc.z <= 1e-6) return false;
-
-        double x_ndc = (pc.x * invTanHalfFov) / pc.z;
-        double y_ndc = (pc.y * invTanHalfFov) / pc.z;
-
-        outX = (x_ndc * 0.5 + 0.5) * (double)(width);
-        outY = (1.0 - (y_ndc * 0.5 + 0.5)) * (double)(height);
-        outZ = pc.z;
-        return true;
-    }
-};
-
-// ===================== 场景 =========================
-
-struct Scene {
-    std::vector<Triangle> tris;
-    std::vector<Material> materials;
-};
-
-static const double INF_D = std::numeric_limits<double>::infinity();
-
-// ========== 世界空间三角形重心坐标 ==========
-
-bool barycentricWorld(
-    const Vec3& p,
-    const Triangle& tri,
-    double& w0, double& w1, double& w2
-) {
-    Vec3 v0 = tri.v[0];
-    Vec3 v1 = tri.v[1];
-    Vec3 v2 = tri.v[2];
-    Vec3 v0v1 = v1 - v0;
-    Vec3 v0v2 = v2 - v0;
-    Vec3 v0p  = p  - v0;
-
-    double d00 = dot(v0v1, v0v1);
-    double d01 = dot(v0v1, v0v2);
-    double d11 = dot(v0v2, v0v2);
-    double d20 = dot(v0p,  v0v1);
-    double d21 = dot(v0p,  v0v2);
-
-    double denom = d00 * d11 - d01 * d01;
-    if (std::fabs(denom) < 1e-12) {
-        w0 = w1 = w2 = 1.0/3.0;
-        return false;
-    }
-
-    double v = (d11 * d20 - d01 * d21) / denom;
-    double w = (d00 * d21 - d01 * d20) / denom;
-    double u = 1.0 - v - w;
-    w0 = u; w1 = v; w2 = w;
-    return true;
-}
-
-// ========== 2D 屏幕三角形重心坐标 ==========
-
-bool barycentric2D(
-    double px, double py,
-    double x0, double y0,
-    double x1, double y1,
-    double x2, double y2,
-    double& u, double& v, double& w
-) {
-    double den = ( (y1 - y2)*(x0 - x2) + (x2 - x1)*(y0 - y2) );
-    if (std::fabs(den) < 1e-12) return false;
-    u = ((y1 - y2)*(px - x2) + (x2 - x1)*(py - y2)) / den;
-    v = ((y2 - y0)*(px - x2) + (x0 - x2)*(py - y2)) / den;
-    w = 1.0 - u - v;
-    return (u >= 0.0 && v >= 0.0 && w >= 0.0);
-}
-
-// ========== 射线与三角形相交（用于反射） ==========
-
-bool rayIntersectTriangle(
-    const Vec3& orig,
-    const Vec3& dir,
-    const Triangle& tri,
-    double& t, double& u, double& v
-) {
-    const double EPSILON = 1e-8;
-    Vec3 v0v1 = tri.v[1] - tri.v[0];
-    Vec3 v0v2 = tri.v[2] - tri.v[0];
-    Vec3 pvec = cross(dir, v0v2);
-    double det = dot(v0v1, pvec);
-
-    if (std::fabs(det) < EPSILON) return false;
-    double invDet = 1.0 / det;
-
-    Vec3 tvec = orig - tri.v[0];
-    u = dot(tvec, pvec) * invDet;
-    if (u < 0.0 || u > 1.0) return false;
-
-    Vec3 qvec = cross(tvec, v0v1);
-    v = dot(dir, qvec) * invDet;
-    if (v < 0.0 || u + v > 1.0) return false;
-
-    t = dot(v0v2, qvec) * invDet;
-    if (t < EPSILON) return false;
-
-    return true;
-}
-
-bool traceScene(
-    const Scene& scene,
-    const Vec3& orig,
-    const Vec3& dir,
-    int& outTriId,
-    double& outT,
-    double& outU,
-    double& outV
-) {
-    outTriId = -1;
-    outT = INF_D;
-    double u, v;
-    for (size_t i = 0; i < scene.tris.size(); ++i) {
-        double tTmp, uTmp, vTmp;
-        if (rayIntersectTriangle(orig, dir, scene.tris[i], tTmp, uTmp, vTmp)) {
-            if (tTmp < outT) {
-                outT = tTmp;
-                outTriId = (int)i;
-                outU = uTmp;
-                outV = vTmp;
-            }
-        }
-    }
-    return (outTriId >= 0);
-}
-
-// ===================== Texture2D（离屏纹理） =========================
-
-struct Texture2D {
-    int w, h;
-    std::vector<Vec3> data;
-
-    Texture2D() : w(0), h(0) {}
-    Texture2D(int w_, int h_) : w(w_), h(h_), data(w_*h_, Vec3(0)) {}
-
-    void resize(int w_, int h_) {
-        w = w_; h = h_;
-        data.assign(w*h, Vec3(0));
-    }
-
-    void clear(const Vec3& c) {
-        std::fill(data.begin(), data.end(), c);
-    }
-
-    Vec3 get(int x, int y) const {
-        if (w <= 0 || h <= 0) return Vec3(0);
-        x = std::max(0, std::min(w-1, x));
-        y = std::max(0, std::min(h-1, y));
-        return data[y * w + x];
-    }
-
-    void set(int x, int y, const Vec3& c) {
-        if (x < 0 || x >= w || y < 0 || y >= h) return;
-        data[y * w + x] = c;
-    }
-
-    Vec3 sampleUV(const Vec2& uv) const {
-        if (w <= 0 || h <= 0) return Vec3(0);
-        double u = std::min(1.0, std::max(0.0, uv.x));
-        double v = std::min(1.0, std::max(0.0, uv.y));
-        int x = (int)(u * (w - 1) + 0.5);
-        int y = (int)(v * (h - 1) + 0.5);
-        return get(x, y);
-    }
-
-    void writeUV(const Vec2& uv, const Vec3& c) {
-        if (w <= 0 || h <= 0) return;
-        double u = uv.x;
-        double v = uv.y;
-        // 略宽松判断，允许轻微的数值误差
-        if (u < -0.01 || u > 1.01 || v < -0.01 || v > 1.01) return;
-        u = std::min(1.0, std::max(0.0, u));
-        v = std::min(1.0, std::max(0.0, v));
-        int x = (int)(u * (w - 1) + 0.5);
-        int y = (int)(v * (h - 1) + 0.5);
-        set(x, y, c);
-    }
-};
-
-// ===================== 2D 仿射变换（UV 映射） =========================
-
-struct Affine2D {
-    // [ uA ]   [m00 m01 m02] [ uB ]
-    // [ vA ] = [m10 m11 m12] [ vB ]
-    //                         [ 1  ]
-    double m00, m01, m02;
-    double m10, m11, m12;
-};
-
-Vec2 applyAffine(const Affine2D& A, const Vec2& uvB) {
-    double uA = A.m00 * uvB.x + A.m01 * uvB.y + A.m02;
-    double vA = A.m10 * uvB.x + A.m11 * uvB.y + A.m12;
-    return Vec2(uA, vA);
-}
-
-// 解 3x3 线性方程组 M * x = b
-bool solve3x3(double M[3][3], double b[3], double x[3]) {
-    double A[3][4];
-    for (int i = 0; i < 3; ++i) {
-        A[i][0] = M[i][0];
-        A[i][1] = M[i][1];
-        A[i][2] = M[i][2];
-        A[i][3] = b[i];
-    }
-
-    for (int col = 0; col < 3; ++col) {
-        int pivot = col;
-        for (int r = col+1; r < 3; ++r) {
-            if (std::fabs(A[r][col]) > std::fabs(A[pivot][col]))
-                pivot = r;
-        }
-        if (std::fabs(A[pivot][col]) < 1e-12) return false;
-        if (pivot != col) {
-            for (int c = 0; c < 4; ++c) std::swap(A[pivot][c], A[col][c]);
-        }
-
-        double div = A[col][col];
-        for (int c = col; c < 4; ++c) A[col][c] /= div;
-
-        for (int r = 0; r < 3; ++r) {
-            if (r == col) continue;
-            double factor = A[r][col];
-            for (int c = col; c < 4; ++c) {
-                A[r][c] -= factor * A[col][c];
-            }
-        }
-    }
-
-    for (int i = 0; i < 3; ++i) x[i] = A[i][3];
-    return true;
-}
-
-// 计算 B 的 UV -> A 的 UV 的仿射矩阵
-Affine2D computeUVMappingAffine(
-    const Triangle& triA,
-    const Triangle& triB
-) {
-    Affine2D A;
-
-    Vec2 uvB[3];
-    Vec2 uvA[3];
-
-    Vec3 nA = triA.normal;
-    Vec3 p0A = triA.v[0];
-
-    for (int j = 0; j < 3; ++j) {
-        Vec3 pb = triB.v[j];
-        Vec3 diff = pb - p0A;
-        double dist = dot(diff, nA);
-        Vec3 pref = pb - 2.0 * dist * nA; // pb 关于 A 平面镜像后的点
-
-        double w0, w1, w2;
-        barycentricWorld(pref, triA, w0, w1, w2);
-        Vec2 uvOnA = triA.uv[0] * w0 + triA.uv[1] * w1 + triA.uv[2] * w2;
-
-        uvA[j] = uvOnA;
-        uvB[j] = triB.uv[j];
-    }
-
-    double MB[3][3];
-    double U[3], V[3];
-    for (int j = 0; j < 3; ++j) {
-        MB[j][0] = uvB[j].x;
-        MB[j][1] = uvB[j].y;
-        MB[j][2] = 1.0;
-        U[j] = uvA[j].x;
-        V[j] = uvA[j].y;
-    }
-
-    double solU[3], solV[3];
-    if (!solve3x3(MB, U, solU)) {
-        A.m00 = 1; A.m01 = 0; A.m02 = 0;
-        A.m10 = 0; A.m11 = 1; A.m12 = 0;
-        return A;
-    }
-    if (!solve3x3(MB, V, solV)) {
-        A.m00 = 1; A.m01 = 0; A.m02 = 0;
-        A.m10 = 0; A.m11 = 1; A.m12 = 0;
-        return A;
-    }
-
-    A.m00 = solU[0]; A.m01 = solU[1]; A.m02 = solU[2];
-    A.m10 = solV[0]; A.m11 = solV[1]; A.m12 = solV[2];
-    return A;
-}
-
-// ===================== 递归反射着色 =========================
-
-// 语义：
-//  - currentTriId: 当前点所在三角形 ID（A）
-//  - uvCurrent:    当前点在 A 上的 UV
-//  - P:            当前点世界坐标
-//  - n:            当前点法线
-//  - mat:          当前材质
-//  - viewDir:      从 P 指向“观察者（上一 bounce 或相机）”的方向
-Vec3 shadeRecursive(
-    const Scene& scene,
-    const Camera& cam,
-    std::vector<Texture2D>& triTextures,
-    int currentTriId,
-    const Vec2& uvCurrent,
-    const Vec3& P,
-    const Vec3& n,
-    const Material& mat,
-    const Vec3& viewDir,
-    int depth,
-    int maxDepth
-) {
-    // 先从当前三角形纹理采样，再融合基础颜色
-    Vec3 texColor = mat.baseColor;
-    if (currentTriId >= 0 && currentTriId < (int)triTextures.size()) {
-        Vec3 sampled = triTextures[currentTriId].sampleUV(uvCurrent);
-        texColor = sampled * 0.7 + mat.baseColor * 0.3;
-    }
-
-    if (!mat.mirror || depth >= maxDepth) {
-        return texColor;
-    }
-
-    // 镜面反射：inDir 是指向表面的方向，viewDir 指向观察者
-    Vec3 inDir = -viewDir;
-    Vec3 reflDir = normalize(reflect(inDir, n));
-
-    int hitTriId;
-    double tHit, uBary, vBary;
-    if (!traceScene(scene, P + n * 1e-4, reflDir, hitTriId, tHit, uBary, vBary)) {
-        // 环境（看不到任何三角形）
-        Vec3 envColor(0.0, 0.0, 0.0);
-        return texColor * (1.0 - mat.reflectivity) + envColor * mat.reflectivity;
-    }
-
-    const Triangle& triB = scene.tris[hitTriId];
-    const Material& matB = *triB.material;
-
-    Vec3 hitPos = P + reflDir * tHit;
-    Vec3 nB = triB.normal;
-    Vec3 viewDirNext = -reflDir; // 在 B 看 A 的视线方向
-
-    // 计算 B 上的 UV
-    double w0B, w1B, w2B;
-    barycentricWorld(hitPos, triB, w0B, w1B, w2B);
-    Vec2 uvB = triB.uv[0] * w0B + triB.uv[1] * w1B + triB.uv[2] * w2B;
-
-    // 递归计算 B 的颜色（在其自身纹理空间继续反射）
-    Vec3 colorB = shadeRecursive(
-        scene, cam, triTextures,
-        hitTriId, uvB,
-        hitPos, nB, matB,
-        viewDirNext,
-        depth + 1, maxDepth
-    );
-
-    // 利用 uvA_fromB 把 B 的颜色写入 A 的纹理
-    if (currentTriId >= 0 && currentTriId < (int)scene.tris.size()) {
-        const Triangle& triA = scene.tris[currentTriId];
-        Affine2D mapBA = computeUVMappingAffine(triA, triB);
-        Vec2 uvA_fromB = applyAffine(mapBA, uvB);
-        triTextures[currentTriId].writeUV(uvA_fromB, colorB);
-    }
-
-    // 当前点最终颜色：自身贴图/基色 + 镜面反射
-    Vec3 finalColor =
-        texColor * (1.0 - mat.reflectivity) +
-        colorB   * mat.reflectivity;
-
-    return finalColor;
-}
-
-// ===================== 屏幕三角形 & 相机 viewport 映射 =========================
-
-struct ScreenTriangle {
-    double x0, y0, z0;
-    double x1, y1, z1;
-    double x2, y2, z2;
-    int triId;
-};
-
-// 将屏幕坐标 (px,py) 映射到相机 viewport 的两个三角形之一，得到 UV 和 camIdx
-bool mapScreenToCamUV(
-    double px, double py,
-    int width, int height,
-    Vec2& uvCam,
-    int& camIdx
-) {
-    double u, v, w;
-
-    // TriCam0: (0,0)-(W,0)-(0,H)，UV: (0,0),(1,0),(0,1)
-    if (barycentric2D(px, py,
-                      0.0, 0.0,
-                      (double)width, 0.0,
-                      0.0, (double)height,
-                      u, v, w)) {
-        Vec2 uv0(0.0, 0.0);
-        Vec2 uv1(1.0, 0.0);
-        Vec2 uv2(0.0, 1.0);
-        uvCam = uv0 * u + uv1 * v + uv2 * w;
-        camIdx = 0;
-        return true;
-    }
-
-    // TriCam1: (W,0)-(W,H)-(0,H)，UV: (1,0),(1,1),(0,1)
-    if (barycentric2D(px, py,
-                      (double)width, 0.0,
-                      (double)width, (double)height,
-                      0.0,           (double)height,
-                      u, v, w)) {
-        Vec2 uv0(1.0, 0.0);
-        Vec2 uv1(1.0, 1.0);
-        Vec2 uv2(0.0, 1.0);
-        uvCam = uv0 * u + uv1 * v + uv2 * w;
-        camIdx = 1;
-        return true;
-    }
-
-    return false;
-}
-
-// ===================== 场景 → CameraTexture 渲染 =========================
-
-void renderSceneToCameraTextures(
-    const Scene& scene,
-    const Camera& cam,
-    int width,
-    int height,
-    std::vector<Texture2D>& triTextures,
-    Texture2D camTextures[2]
-) {
-    std::vector<double> depthBuffer(width * height, INF_D);
-
-    // 1. 投影所有三角形为屏幕三角形
-    std::vector<ScreenTriangle> screenTris;
-    screenTris.reserve(scene.tris.size());
-
-    for (size_t i = 0; i < scene.tris.size(); ++i) {
-        const Triangle& tri = scene.tris[i];
-
-        double x0,y0,z0;
-        double x1,y1,z1;
-        double x2,y2,z2;
-        bool ok0 = cam.projectToScreen(tri.v[0], width, height, x0, y0, z0);
-        bool ok1 = cam.projectToScreen(tri.v[1], width, height, x1, y1, z1);
-        bool ok2 = cam.projectToScreen(tri.v[2], width, height, x2, y2, z2);
-
-        if (!ok0 && !ok1 && !ok2) continue;
-        int behind = (!ok0) + (!ok1) + (!ok2);
-        if (behind >= 2) continue;
-
-        ScreenTriangle st;
-        st.x0 = x0; st.y0 = y0; st.z0 = z0;
-        st.x1 = x1; st.y1 = y1; st.z1 = z1;
-        st.x2 = x2; st.y2 = y2; st.z2 = z2;
-        st.triId = (int)i;
-        screenTris.push_back(st);
-    }
-
-    // 2. 按平均深度从远到近排序（覆盖关系）
-    std::sort(screenTris.begin(), screenTris.end(),
-        [](const ScreenTriangle& a, const ScreenTriangle& b) {
-            double za = (a.z0 + a.z1 + a.z2) / 3.0;
-            double zb = (b.z0 + b.z1 + b.z2) / 3.0;
-            return za > zb; // 大 z 在远处
-        }
-    );
-
-    const int maxReflectionDepth = 3;
-
-    // 3. 遍历每个屏幕三角形，进行光栅化和递归反射着色，写入 CameraTexture
-    for (const ScreenTriangle& st : screenTris) {
-        const Triangle& tri = scene.tris[st.triId];
-        const Material& mat = *tri.material;
-
-        int minX = (int)std::floor(std::min({ st.x0, st.x1, st.x2 }));
-        int maxX = (int)std::ceil (std::max({ st.x0, st.x1, st.x2 }));
-        int minY = (int)std::floor(std::min({ st.y0, st.y1, st.y2 }));
-        int maxY = (int)std::ceil (std::max({ st.y0, st.y1, st.y2 }));
-
-        minX = std::max(minX, 0);
-        maxX = std::min(maxX, width  - 1);
-        minY = std::max(minY, 0);
-        maxY = std::min(maxY, height - 1);
-
-        for (int y = minY; y <= maxY; ++y) {
-            for (int x = minX; x <= maxX; ++x) {
-                double px = x + 0.5;
-                double py = y + 0.5;
-
-                double u,v,w;
-                if (!barycentric2D(
-                        px, py,
-                        st.x0, st.y0,
-                        st.x1, st.y1,
-                        st.x2, st.y2,
-                        u,v,w)) {
-                    continue;
-                }
-
-                double z = st.z0 * u + st.z1 * v + st.z2 * w;
-                int idx = y * width + x;
-                if (z >= depthBuffer[idx]) continue;
-                depthBuffer[idx] = z;
-
-                // 世界坐标、法线、当前三角形 UV
-                Vec3 P =
-                    tri.v[0] * u +
-                    tri.v[1] * v +
-                    tri.v[2] * w;
-
-                Vec3 n = tri.normal;
-
-                Vec2 uvCurrent =
-                    tri.uv[0] * u +
-                    tri.uv[1] * v +
-                    tri.uv[2] * w;
-
-                // 从 P 看向相机的方向
-                Vec3 viewDir0 = normalize(cam.pos - P);
-
-                // 递归着色（以当前三角形为 viewport）
-                Vec3 color = shadeRecursive(
-                    scene, cam, triTextures,
-                    st.triId, uvCurrent,
-                    P, n, mat,
-                    viewDir0,
-                    0, maxReflectionDepth
-                );
-
-                // 将颜色写入相机 viewport 的两个三角形纹理
-                Vec2 uvCam;
-                int camIdx;
-                if (mapScreenToCamUV(px, py, width, height, uvCam, camIdx)) {
-                    camTextures[camIdx].writeUV(uvCam, color);
-                }
-            }
-        }
-    }
-}
-
-// ===================== 构建 Cornell Box 场景 =========================
-
-void buildCornellBox(Scene& scene) {
-    scene.materials.clear();
-    scene.tris.clear();
-
-    Material redWall;
-    redWall.baseColor = Vec3(0.75, 0.15, 0.15);
-    redWall.mirror = false;
-    redWall.reflectivity = 0.0;
-
-    Material greenWall;
-    greenWall.baseColor = Vec3(0.15, 0.75, 0.15);
-    greenWall.mirror = false;
-    greenWall.reflectivity = 0.0;
-
-    Material whiteWall;
-    whiteWall.baseColor = Vec3(0.75, 0.75, 0.75);
-    whiteWall.mirror = false;
-    whiteWall.reflectivity = 0.0;
-
-    Material blueMetal;
-    blueMetal.baseColor = Vec3(0.2, 0.4, 0.9);
-    blueMetal.mirror = true;
-    blueMetal.reflectivity = 0.9;
-
-    Material yellowMetal;
-    yellowMetal.baseColor = Vec3(0.9, 0.8, 0.2);
-    yellowMetal.mirror = true;
-    yellowMetal.reflectivity = 0.9;
-
-    scene.materials.push_back(redWall);    // 0
-    scene.materials.push_back(greenWall);  // 1
-    scene.materials.push_back(whiteWall);  // 2
-    scene.materials.push_back(blueMetal);  // 3
-    scene.materials.push_back(yellowMetal);// 4
-
-    const Material* mRed    = &scene.materials[0];
-    const Material* mGreen  = &scene.materials[1];
-    const Material* mWhite  = &scene.materials[2];
-    const Material* mBlue   = &scene.materials[3];
-    const Material* mYellow = &scene.materials[4];
-
-    double roomSize = 2.0;
-    double half = roomSize * 0.5;
-    double floorY = 0.0;
-    double ceilY  = roomSize;
-    double backZ  = -roomSize;
-    double frontZ = 0.0;
-
-    // 地板（white）
-    {
-        Vec3 v0(-half, floorY, frontZ);
-        Vec3 v1( half, floorY, frontZ);
-        Vec3 v2( half, floorY, backZ);
-        Vec3 v3(-half, floorY, backZ);
-        scene.tris.emplace_back(v0, v1, v2, mWhite);
-        scene.tris.emplace_back(v0, v2, v3, mWhite);
-    }
-
-    // 天花板（white）
-    {
-        Vec3 v0(-half, ceilY, backZ);
-        Vec3 v1( half, ceilY, backZ);
-        Vec3 v2( half, ceilY, frontZ);
-        Vec3 v3(-half, ceilY, frontZ);
-        scene.tris.emplace_back(v0, v1, v2, mWhite);
-        scene.tris.emplace_back(v0, v2, v3, mWhite);
-    }
-
-    // 左墙（red）
-    {
-        Vec3 v0(-half, floorY, backZ);
-        Vec3 v1(-half, floorY, frontZ);
-        Vec3 v2(-half, ceilY, frontZ);
-        Vec3 v3(-half, ceilY, backZ);
-        scene.tris.emplace_back(v0, v1, v2, mRed);
-        scene.tris.emplace_back(v0, v2, v3, mRed);
-    }
-
-    // 右墙（green）
-    {
-        Vec3 v0(half, floorY, frontZ);
-        Vec3 v1(half, floorY, backZ);
-        Vec3 v2(half, ceilY, backZ);
-        Vec3 v3(half, ceilY, frontZ);
-        scene.tris.emplace_back(v0, v1, v2, mGreen);
-        scene.tris.emplace_back(v0, v2, v3, mGreen);
-    }
-
-    // 后墙（white）
-    {
-        Vec3 v0(-half, floorY, backZ);
-        Vec3 v1( half, floorY, backZ);
-        Vec3 v2( half, ceilY,  backZ);
-        Vec3 v3(-half, ceilY,  backZ);
-        scene.tris.emplace_back(v0, v1, v2, mWhite);
-        scene.tris.emplace_back(v0, v2, v3, mWhite);
-    }
-
-    // 蓝色金属盒（左）——矮盒
-    {
-        double bx0 = -0.6;
-        double bx1 = -0.2;
-        double bz0 = -1.0;
-        double bz1 = -0.4;
-        double h   = 0.7;
-
-        Vec3 t0(bx0, floorY + h, bz0);
-        Vec3 t1(bx1, floorY + h, bz0);
-        Vec3 t2(bx1, floorY + h, bz1);
-        Vec3 t3(bx0, floorY + h, bz1);
-        scene.tris.emplace_back(t0, t1, t2, mBlue);
-        scene.tris.emplace_back(t0, t2, t3, mBlue);
-
-        Vec3 f0(bx0, floorY,     bz1);
-        Vec3 f1(bx1, floorY,     bz1);
-        Vec3 f2(bx1, floorY + h, bz1);
-        Vec3 f3(bx0, floorY + h, bz1);
-        scene.tris.emplace_back(f0, f1, f2, mBlue);
-        scene.tris.emplace_back(f0, f2, f3, mBlue);
-
-        Vec3 bk0(bx1, floorY,     bz0);
-        Vec3 bk1(bx0, floorY,     bz0);
-        Vec3 bk2(bx0, floorY + h, bz0);
-        Vec3 bk3(bx1, floorY + h, bz0);
-        scene.tris.emplace_back(bk0, bk1, bk2, mBlue);
-        scene.tris.emplace_back(bk0, bk2, bk3, mBlue);
-
-        Vec3 l0(bx0, floorY,     bz0);
-        Vec3 l1(bx0, floorY,     bz1);
-        Vec3 l2(bx0, floorY + h, bz1);
-        Vec3 l3(bx0, floorY + h, bz0);
-        scene.tris.emplace_back(l0, l1, l2, mBlue);
-        scene.tris.emplace_back(l0, l2, l3, mBlue);
-
-        Vec3 r0(bx1, floorY,     bz1);
-        Vec3 r1(bx1, floorY,     bz0);
-        Vec3 r2(bx1, floorY + h, bz0);
-        Vec3 r3(bx1, floorY + h, bz1);
-        scene.tris.emplace_back(r0, r1, r2, mBlue);
-        scene.tris.emplace_back(r0, r2, r3, mBlue);
-    }
-
-    // 黄色金属盒（右）——高盒
-    {
-        double bx0 = 0.1;
-        double bx1 = 0.6;
-        double bz0 = -0.8;
-        double bz1 = -0.1;
-        double h   = 1.2;
-
-        Vec3 t0(bx0, floorY + h, bz0);
-        Vec3 t1(bx1, floorY + h, bz0);
-        Vec3 t2(bx1, floorY + h, bz1);
-        Vec3 t3(bx0, floorY + h, bz1);
-        scene.tris.emplace_back(t0, t1, t2, mYellow);
-        scene.tris.emplace_back(t0, t2, t3, mYellow);
-
-        Vec3 f0(bx0, floorY,     bz1);
-        Vec3 f1(bx1, floorY,     bz1);
-        Vec3 f2(bx1, floorY + h, bz1);
-        Vec3 f3(bx0, floorY + h, bz1);
-        scene.tris.emplace_back(f0, f1, f2, mYellow);
-        scene.tris.emplace_back(f0, f2, f3, mYellow);
-
-        Vec3 bk0(bx1, floorY,     bz0);
-        Vec3 bk1(bx0, floorY,     bz0);
-        Vec3 bk2(bx0, floorY + h, bz0);
-        Vec3 bk3(bx1, floorY + h, bz0);
-        scene.tris.emplace_back(bk0, bk1, bk2, mYellow);
-        scene.tris.emplace_back(bk0, bk2, bk3, mYellow);
-
-        Vec3 l0(bx0, floorY,     bz0);
-        Vec3 l1(bx0, floorY,     bz1);
-        Vec3 l2(bx0, floorY + h, bz1);
-        Vec3 l3(bx0, floorY + h, bz0);
-        scene.tris.emplace_back(l0, l1, l2, mYellow);
-        scene.tris.emplace_back(l0, l2, l3, mYellow);
-
-        Vec3 r0(bx1, floorY,     bz1);
-        Vec3 r1(bx1, floorY,     bz0);
-        Vec3 r2(bx1, floorY + h, bz0);
-        Vec3 r3(bx1, floorY + h, bz1);
-        scene.tris.emplace_back(r0, r1, r2, mYellow);
-        scene.tris.emplace_back(r0, r2, r3, mYellow);
-    }
-}
-
-// ===================== 写 PPM =========================
-
-void writePPM(
-    const std::string& filename,
-    const std::vector<Vec3>& colorBuffer,
-    int width,
-    int height
-) {
-    std::ofstream ofs(filename);
-    ofs << "P3\n" << width << " " << height << "\n255\n";
-    for (int i = 0; i < width*height; ++i) {
-        Vec3 c = clamp01(colorBuffer[i]);
-        int r = (int)(std::pow(c.x, 1.0/2.2) * 255.0 + 0.5);
-        int g = (int)(std::pow(c.y, 1.0/2.2) * 255.0 + 0.5);
-        int b = (int)(std::pow(c.z, 1.0/2.2) * 255.0 + 0.5);
-        r = std::max(0, std::min(255, r));
-        g = std::max(0, std::min(255, g));
-        b = std::max(0, std::min(255, b));
-        ofs << r << " " << g << " " << b << "\n";
-    }
-    ofs.close();
-}
-
-// ===================== main =========================
-
-int main() {
-    int width  = 800;
-    int height = 800;
-
-    Scene scene;
-    buildCornellBox(scene);
-
-    Camera cam(
-        Vec3(0.0, 1.0, 2.5),  // 相机位置
-        Vec3(0.0, 1.0, -1.0), // 观察目标
-        Vec3(0.0, 1.0, 0.0),  // 上方向
-        45.0                  // 垂直 FOV
-    );
-
-    // 为每个三角形分配离屏纹理
-    const int TRI_TEX_RES = 256;
-    std::vector<Texture2D> triTextures(scene.tris.size());
-    for (size_t i = 0; i < scene.tris.size(); ++i) {
-        triTextures[i].resize(TRI_TEX_RES, TRI_TEX_RES);
-        const Material* m = scene.tris[i].material;
-        Vec3 baseColor = m ? m->baseColor : Vec3(0.5, 0.5, 0.5);
-        triTextures[i].clear(baseColor);
-    }
-
-    // 相机 viewport 的两个三角形各自的离屏纹理
-    Texture2D camTextures[2];
-    camTextures[0].resize(width, height);
-    camTextures[1].resize(width, height);
-    camTextures[0].clear(Vec3(0.0, 0.0, 0.0));
-    camTextures[1].clear(Vec3(0.0, 0.0, 0.0));
-
-    // 第一步：场景 → 相机 viewport 纹理（递归贴图）
-    renderSceneToCameraTextures(scene, cam, width, height, triTextures, camTextures);
-
-    // 第二步：相机 viewport 纹理 → 最终 PPM
-    std::vector<Vec3> colorBuffer(width * height, Vec3(0.0, 0.0, 0.0));
-    for (int y = 0; y < height; ++y) {
-        for (int x = 0; x < width; ++x) {
-            double px = x + 0.5;
-            double py = y + 0.5;
-
-            Vec2 uvCam;
-            int camIdx;
-            if (!mapScreenToCamUV(px, py, width, height, uvCam, camIdx)) {
-                continue;
-            }
-            Vec3 c = camTextures[camIdx].sampleUV(uvCam);
-            colorBuffer[y * width + x] = c;
-        }
-    }
-
-    writePPM("output.ppm", colorBuffer, width, height);
-    std::cerr << "Render finished. Saved to output.ppm\n";
-    return 0;
-}

experiments/rt3.cpp

@@ -1,556 +0,0 @@
-// main.cpp
-// 一个“面片 + 纹理变换 + 递归反射贴图”的简易 Cornell Box 渲染器（PPM 输出）
-// 关键点：
-// - 不从 Camera 对每个像素发射 Ray 求交取色（避免传统 Ray Tracing 思路）
-// - 以“Viewport(屏幕/面片) = 场景中的三角形面片集合”的方式做投影与贴图（类似光栅化/投影贴图）
-// - 对镜面材质：把该三角形当作 current viewport，构造“反射后的虚拟观察点”，递归渲染并把结果作为该三角形的 current 纹理
-//
-// 编译运行：
-//   g++ -std=c++17 -O2 -o render main.cpp
-//   ./render
-// 输出：output.ppm (P6)
-//
-// 说明：
-// - 这里先忽略 AO、采样漫反射等；漫反射仅用固有颜色/棋盘纹理。
-// - 覆盖关系：用“远到近”排序 + painter 覆盖（O(n log n)），符合你描述的临时方案。
-// - 反射：对每个镜面三角形，递归渲染“该三角形所在平面作为 viewport”的纹理图，再贴回上一级 viewport。
-
-#include <algorithm>
-#include <array>
-#include <cassert>
-#include <cmath>
-#include <cstdint>
-#include <fstream>
-#include <iostream>
-#include <limits>
-#include <string>
-#include <utility>
-#include <vector>
-
-static constexpr double kEps = 1e-9;
-
-struct Vec2 {
-  double x = 0, y = 0;
-  Vec2() = default;
-  Vec2(double _x, double _y) : x(_x), y(_y) {}
-  Vec2 operator+(const Vec2& r) const { return {x + r.x, y + r.y}; }
-  Vec2 operator-(const Vec2& r) const { return {x - r.x, y - r.y}; }
-  Vec2 operator*(double s) const { return {x * s, y * s}; }
-};
-
-struct Vec3 {
-  double x = 0, y = 0, z = 0;
-  Vec3() = default;
-  Vec3(double _x, double _y, double _z) : x(_x), y(_y), z(_z) {}
-  Vec3 operator+(const Vec3& r) const { return {x + r.x, y + r.y, z + r.z}; }
-  Vec3 operator-(const Vec3& r) const { return {x - r.x, y - r.y, z - r.z}; }
-  Vec3 operator*(double s) const { return {x * s, y * s, z * s}; }
-  Vec3 operator/(double s) const { return {x / s, y / s, z / s}; }
-};
-
-static inline double dot(const Vec3& a, const Vec3& b) { return a.x * b.x + a.y * b.y + a.z * b.z; }
-static inline Vec3 cross(const Vec3& a, const Vec3& b) {
-  return {a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x};
-}
-static inline double length(const Vec3& v) { return std::sqrt(dot(v, v)); }
-static inline Vec3 normalize(const Vec3& v) {
-  double len = length(v);
-  if (len < kEps) return {0, 0, 0};
-  return v / len;
-}
-static inline Vec3 clamp01(const Vec3& c) {
-  auto cl = [](double v) { return std::max(0.0, std::min(1.0, v)); };
-  return {cl(c.x), cl(c.y), cl(c.z)};
-}
-static inline Vec3 hadamard(const Vec3& a, const Vec3& b) { return {a.x * b.x, a.y * b.y, a.z * b.z}; }
-
-struct Plane {
-  Vec3 n;   // normalized
-  double d; // plane eq: dot(n, p) + d = 0
-};
-
-static inline Plane makePlaneFromTriangle(const Vec3& a, const Vec3& b, const Vec3& c) {
-  Vec3 n = normalize(cross(b - a, c - a));
-  double d = -dot(n, a);
-  return {n, d};
-}
-
-static inline double signedDistance(const Plane& pl, const Vec3& p) { return dot(pl.n, p) + pl.d; }
-
-static inline Vec3 reflectPointAcrossPlane(const Vec3& p, const Plane& pl) {
-  // p' = p - 2 * dist * n
-  double dist = signedDistance(pl, p);
-  return p - pl.n * (2.0 * dist);
-}
-
-static inline Vec3 reflectVectorAcrossPlane(const Vec3& v, const Plane& pl) {
-  // reflect direction v about plane normal: v' = v - 2*dot(v,n)*n
-  return v - pl.n * (2.0 * dot(v, pl.n));
-}
-
-struct Image {
-  int w = 0, h = 0;
-  std::vector<Vec3> pix; // linear RGB [0..1]
-  Image() = default;
-  Image(int _w, int _h, Vec3 clear = {0, 0, 0}) : w(_w), h(_h), pix(size_t(_w) * size_t(_h), clear) {}
-  Vec3& at(int x, int y) { return pix[size_t(y) * size_t(w) + size_t(x)]; }
-  const Vec3& at(int x, int y) const { return pix[size_t(y) * size_t(w) + size_t(x)]; }
-};
-
-static inline uint8_t toSRGB8(double linear) {
-  linear = std::max(0.0, std::min(1.0, linear));
-  // 简单 gamma 2.2
-  double srgb = std::pow(linear, 1.0 / 2.2);
-  int v = int(srgb * 255.0 + 0.5);
-  v = std::max(0, std::min(255, v));
-  return uint8_t(v);
-}
-
-static void writePPM_P6(const std::string& path, const Image& img) {
-  std::ofstream out(path, std::ios::binary);
-  out << "P6\n" << img.w << " " << img.h << "\n255\n";
-  for (int y = 0; y < img.h; ++y) {
-    for (int x = 0; x < img.w; ++x) {
-      Vec3 c = clamp01(img.at(x, y));
-      uint8_t r = toSRGB8(c.x);
-      uint8_t g = toSRGB8(c.y);
-      uint8_t b = toSRGB8(c.z);
-      out.write(reinterpret_cast<const char*>(&r), 1);
-      out.write(reinterpret_cast<const char*>(&g), 1);
-      out.write(reinterpret_cast<const char*>(&b), 1);
-    }
-  }
-}
-
-static inline Vec3 lerp(const Vec3& a, const Vec3& b, double t) { return a * (1.0 - t) + b * t; }
-
-struct Material {
-  enum class Type { Diffuse, Mirror } type = Type::Diffuse;
-  Vec3 baseColor = {1, 1, 1}; // 对 Diffuse：固有色；对 Mirror：金属 tint
-  double mirrorStrength = 0.95; // Mirror 时反射占比
-  bool checker = false;
-};
-
-struct Triangle {
-  int id = -1;
-  Vec3 p0, p1, p2; // world
-  Vec2 uv0, uv1, uv2; // local texture coords
-  Material mat;
-};
-
-static inline Vec3 triangleNormal(const Triangle& t) {
-  return normalize(cross(t.p1 - t.p0, t.p2 - t.p0));
-}
-
-static inline Vec3 triangleCentroid(const Triangle& t) {
-  return (t.p0 + t.p1 + t.p2) / 3.0;
-}
-
-// 2D barycentric in screen space
-static inline bool barycentric2D(const Vec2& a, const Vec2& b, const Vec2& c, const Vec2& p,
-                                 double& w0, double& w1, double& w2) {
-  Vec2 v0 = b - a;
-  Vec2 v1 = c - a;
-  Vec2 v2 = p - a;
-  double den = v0.x * v1.y - v0.y * v1.x;
-  if (std::abs(den) < kEps) return false;
-  double inv = 1.0 / den;
-  w1 = (v2.x * v1.y - v2.y * v1.x) * inv;
-  w2 = (v0.x * v2.y - v0.y * v2.x) * inv;
-  w0 = 1.0 - w1 - w2;
-  return true;
-}
-
-// 3D barycentric on triangle plane (using areas / cross with normal)
-static inline bool barycentric3D(const Vec3& a, const Vec3& b, const Vec3& c, const Vec3& p,
-                                 double& w0, double& w1, double& w2) {
-  Vec3 n = cross(b - a, c - a);
-  double area2 = length(n);
-  if (area2 < kEps) return false;
-  // use oriented areas along normal
-  double areaPBC = dot(cross(b - p, c - p), n);
-  double areaPCA = dot(cross(c - p, a - p), n);
-  double areaPAB = dot(cross(a - p, b - p), n);
-  w0 = areaPBC / dot(n, n);
-  w1 = areaPCA / dot(n, n);
-  w2 = areaPAB / dot(n, n);
-  // 这里 w0,w1,w2 的数值尺度已经合理（因为 dot(n,n)=|n|^2）
-  // 但数值误差会略大，后续用范围判断即可。
-  return true;
-}
-
-struct Viewport {
-  enum class Kind { Rect, TriangleUV } kind = Kind::Rect;
-
-  Vec3 origin;      // “第一人称”视点（Camera 或 反射后的虚拟点）
-  Plane plane;      // viewport 平面
-  Vec3 planeCenter; // 用于排序/参考
-  Vec3 viewDir;     // normalize(planeCenter - origin)
-
-  // 输出图像大小
-  int outW = 0;
-  int outH = 0;
-
-  // Rect: 通过 plane 坐标系映射到像素
-  Vec3 right; // in plane
-  Vec3 up;    // in plane
-  double halfW = 1;
-  double halfH = 1;
-
-  // TriangleUV: 通过 world 三角形的 UV 映射到像素
-  Vec3 tv0, tv1, tv2; // viewport triangle in world (coplanar with plane)
-  Vec2 tuv0, tuv1, tuv2;
-
-  static Viewport makeCameraRect(const Vec3& origin, const Vec3& center, const Vec3& right, const Vec3& up,
-                                 double halfW, double halfH, int outW, int outH) {
-    Viewport vp;
-    vp.kind = Kind::Rect;
-    vp.origin = origin;
-    vp.planeCenter = center;
-    vp.right = normalize(right);
-    vp.up = normalize(up);
-    vp.halfW = halfW;
-    vp.halfH = halfH;
-    Vec3 n = normalize(cross(vp.right, vp.up)); // right x up = normal
-    // 让法线朝向 origin（不强制，但有助于一致性）
-    if (dot(n, origin - center) < 0) n = n * -1.0;
-    vp.plane = {n, -dot(n, center)};
-    vp.viewDir = normalize(center - origin);
-    vp.outW = outW;
-    vp.outH = outH;
-    return vp;
-  }
-
-  static Viewport makeTriangleUV(const Vec3& origin, const Triangle& tri, int outW, int outH) {
-    Viewport vp;
-    vp.kind = Kind::TriangleUV;
-    vp.origin = origin;
-    vp.tv0 = tri.p0; vp.tv1 = tri.p1; vp.tv2 = tri.p2;
-    vp.tuv0 = tri.uv0; vp.tuv1 = tri.uv1; vp.tuv2 = tri.uv2;
-    vp.planeCenter = triangleCentroid(tri);
-    vp.plane = makePlaneFromTriangle(tri.p0, tri.p1, tri.p2);
-    // 让平面法线尽量朝向 origin，便于稳定
-    if (dot(vp.plane.n, origin - vp.planeCenter) < 0) {
-      vp.plane.n = vp.plane.n * -1.0;
-      vp.plane.d = -vp.plane.d;
-    }
-    vp.viewDir = normalize(vp.planeCenter - origin);
-    vp.outW = outW;
-    vp.outH = outH;
-    return vp;
-  }
-
-  // 将世界点 x（不一定在 plane 上）沿 origin->x 投影到 viewport 平面，并映射到像素坐标
-  // 返回 false 表示无交/在背面/落在 viewport 有效区域外
-  bool projectWorldPointToPixel(const Vec3& x, Vec2& outPix, double& outT) const {
-    Vec3 dir = x - origin;
-    double denom = dot(plane.n, dir);
-    if (std::abs(denom) < kEps) return false;
-    // intersection t where origin + t*dir hits plane
-    double t = -(dot(plane.n, origin) + plane.d) / denom;
-    if (t <= kEps) return false; // 只接受向前交
-    Vec3 q = origin + dir * t;   // on plane
-    outT = t;
-
-    if (kind == Kind::Rect) {
-      Vec3 rel = q - planeCenter;
-      double u = dot(rel, right) / halfW; // [-1,1] ideally
-      double v = dot(rel, up) / halfH;
-      double px = (u * 0.5 + 0.5) * double(outW - 1);
-      double py = (1.0 - (v * 0.5 + 0.5)) * double(outH - 1);
-      if (px < -0.5 || px > outW - 0.5 || py < -0.5 || py > outH - 0.5) return false;
-      outPix = {px, py};
-      return true;
-    }
-
-    // TriangleUV: 要求 q 落在 viewport 三角形内（用 3D 重心判断）
-    double w0, w1, w2;
-    if (!barycentric3D(tv0, tv1, tv2, q, w0, w1, w2)) return false;
-    if (w0 < -1e-4 || w1 < -1e-4 || w2 < -1e-4) return false;
-
-    Vec2 uv = tuv0 * w0 + tuv1 * w1 + tuv2 * w2;
-    if (uv.x < -1e-4 || uv.x > 1.0 + 1e-4 || uv.y < -1e-4 || uv.y > 1.0 + 1e-4) return false;
-
-    double px = uv.x * double(outW - 1);
-    double py = (1.0 - uv.y) * double(outH - 1);
-    outPix = {px, py};
-    return true;
-  }
-};
-
-static Vec3 sampleDiffuseTex(const Material& mat, const Vec2& uv) {
-  if (!mat.checker) return mat.baseColor;
-  // 纯 UV 棋盘
-  int cx = int(std::floor(uv.x * 10.0));
-  int cy = int(std::floor(uv.y * 10.0));
-  bool odd = ((cx + cy) & 1) != 0;
-  Vec3 c0 = mat.baseColor;
-  Vec3 c1 = lerp(mat.baseColor, Vec3{1, 1, 1}, 0.35);
-  return odd ? c1 : c0;
-}
-
-// Forward declaration
-static Image renderViewport(const Viewport& vp, const std::vector<Triangle>& scene, int depth, int maxDepth,
-                            int excludeTriId);
-
-// 为镜面三角形生成“当前纹理”（通过递归把它当 viewport 渲染）
-static Image renderMirrorTextureForTriangle(const Triangle& tri, const Vec3& incidentOrigin,
-                                           const std::vector<Triangle>& scene, int depth, int maxDepth,
-                                           int texW, int texH) {
-  Plane pl = makePlaneFromTriangle(tri.p0, tri.p1, tri.p2);
-
-  // 虚拟观察点：把上一级 origin 关于镜面平面反射
-  Vec3 virtualOrigin = reflectPointAcrossPlane(incidentOrigin, pl);
-
-  // 以该镜面三角形为 viewport，把场景渲染到它的 UV 纹理图里
-  Viewport triVP = Viewport::makeTriangleUV(virtualOrigin, tri, texW, texH);
-
-  // 排除自己，避免最直接的反馈
-  Image reflection = renderViewport(triVP, scene, depth + 1, maxDepth, tri.id);
-
-  return reflection;
-}
-
-struct ProjectedTri {
-  const Triangle* tri = nullptr;
-  Vec2 s0, s1, s2; // projected to output pixels
-  double sortKey = 0; // larger=nearer or farther? We will sort far->near
-};
-
-// 简易 painter：远->近（sortKey 越大越“近”），所以按 sortKey 升序绘制（远先画）
-static Image renderViewport(const Viewport& vp, const std::vector<Triangle>& scene, int depth, int maxDepth,
-                            int excludeTriId) {
-  Image out(vp.outW, vp.outH, Vec3{0.0, 0.0, 0.0});
-
-  // 为本次渲染维护一个“镜面三角形 -> 纹理图”的临时缓存（只对当前 viewport 有效）
-  struct MirrorCacheItem { int triId; Image tex; };
-  std::vector<MirrorCacheItem> mirrorTexCache;
-  mirrorTexCache.reserve(64);
-
-  auto getMirrorTex = [&](const Triangle& t) -> const Image* {
-    for (auto& it : mirrorTexCache) {
-      if (it.triId == t.id) return &it.tex;
-    }
-    // 纹理分辨率可根据需要调大/调小
-    int texW = 256, texH = 256;
-    if (depth >= maxDepth) return nullptr;
-    Image tex = renderMirrorTextureForTriangle(t, vp.origin, scene, depth, maxDepth, texW, texH);
-    mirrorTexCache.push_back({t.id, std::move(tex)});
-    return &mirrorTexCache.back().tex;
-  };
-
-  // 1) 收集可投影到 viewport 的三角形，并计算排序 key
-  std::vector<ProjectedTri> list;
-  list.reserve(scene.size());
-
-  for (const auto& t : scene) {
-    if (t.id == excludeTriId) continue;
-
-    Vec2 p0, p1, p2;
-    double tt0, tt1, tt2;
-    if (!vp.projectWorldPointToPixel(t.p0, p0, tt0)) continue;
-    if (!vp.projectWorldPointToPixel(t.p1, p1, tt1)) continue;
-    if (!vp.projectWorldPointToPixel(t.p2, p2, tt2)) continue;
-
-    Vec3 c = triangleCentroid(t);
-    double key = dot(vp.viewDir, c - vp.origin); // 视线方向上的“深度”
-    list.push_back(ProjectedTri{&t, p0, p1, p2, key});
-  }
-
-  std::sort(list.begin(), list.end(), [](const ProjectedTri& a, const ProjectedTri& b) {
-    return a.sortKey < b.sortKey; // far -> near
-  });
-
-  // 2) 按远到近绘制（覆盖关系）
-  for (const auto& pt : list) {
-    const Triangle& tri = *pt.tri;
-
-    // 镜面材质：先生成该三角形对当前 origin 的“反射纹理”
-    const Image* mirrorTex = nullptr;
-    if (tri.mat.type == Material::Type::Mirror && depth < maxDepth) {
-      mirrorTex = getMirrorTex(tri);
-    }
-
-    // 三角形光栅化到 out（注意：这里是把 tri 的“纹理”投影变换后贴到 viewport 上）
-    double minX = std::floor(std::min({pt.s0.x, pt.s1.x, pt.s2.x}));
-    double maxX = std::ceil (std::max({pt.s0.x, pt.s1.x, pt.s2.x}));
-    double minY = std::floor(std::min({pt.s0.y, pt.s1.y, pt.s2.y}));
-    double maxY = std::ceil (std::max({pt.s0.y, pt.s1.y, pt.s2.y}));
-
-    int x0 = std::max(0, int(minX));
-    int x1 = std::min(vp.outW - 1, int(maxX));
-    int y0 = std::max(0, int(minY));
-    int y1 = std::min(vp.outH - 1, int(maxY));
-
-    for (int y = y0; y <= y1; ++y) {
-      for (int x = x0; x <= x1; ++x) {
-        Vec2 p{double(x) + 0.5, double(y) + 0.5};
-        double w0, w1, w2;
-        if (!barycentric2D(pt.s0, pt.s1, pt.s2, p, w0, w1, w2)) continue;
-        if (w0 < -1e-6 || w1 < -1e-6 || w2 < -1e-6) continue;
-
-        // screen-space 仿射插值 tri 的 UV（这里不做 perspective-correct，符合“变换粘贴”的感觉）
-        Vec2 uv = tri.uv0 * w0 + tri.uv1 * w1 + tri.uv2 * w2;
-
-        Vec3 base = sampleDiffuseTex(tri.mat, uv);
-
-        if (tri.mat.type == Material::Type::Mirror && mirrorTex) {
-          // 镜面：把递归得到的 reflectionTex 作为 tri 的 current 纹理，再叠加 tint
-          // mirrorTex 的坐标域就是 tri 的 UV（由 Viewport::TriangleUV 保证）
-          int sx = std::max(0, std::min(mirrorTex->w - 1, int(uv.x * (mirrorTex->w - 1) + 0.5)));
-          int sy = std::max(0, std::min(mirrorTex->h - 1, int((1.0 - uv.y) * (mirrorTex->h - 1) + 0.5)));
-          Vec3 refl = mirrorTex->at(sx, sy);
-
-          // 简单金属混合：反射为主，baseColor 做 tint
-          Vec3 tintedRefl = hadamard(refl, tri.mat.baseColor);
-          Vec3 outC = lerp(base, tintedRefl, tri.mat.mirrorStrength);
-
-          out.at(x, y) = outC;
-        } else {
-          // 漫反射（当前回合忽略采样/光照，仅贴固有纹理）
-          out.at(x, y) = base;
-        }
-      }
-    }
-  }
-
-  return out;
-}
-
-static int gNextTriId = 1;
-
-static Triangle makeTri(const Vec3& a, const Vec3& b, const Vec3& c, const Vec2& uva, const Vec2& uvb, const Vec2& uvc,
-                        const Material& m) {
-  Triangle t;
-  t.id = gNextTriId++;
-  t.p0 = a; t.p1 = b; t.p2 = c;
-  t.uv0 = uva; t.uv1 = uvb; t.uv2 = uvc;
-  t.mat = m;
-  return t;
-}
-
-static void addQuadAsTwoTris(std::vector<Triangle>& out,
-                             const Vec3& a, const Vec3& b, const Vec3& c, const Vec3& d,
-                             const Material& m,
-                             const Vec2& uva = {0,0}, const Vec2& uvb = {1,0}, const Vec2& uvc = {1,1}, const Vec2& uvd = {0,1}) {
-  // quad (a,b,c,d) in CCW; split to (a,b,c) and (a,c,d)
-  out.push_back(makeTri(a, b, c, uva, uvb, uvc, m));
-  out.push_back(makeTri(a, c, d, uva, uvc, uvd, m));
-}
-
-static void addBox(std::vector<Triangle>& out, const Vec3& center, const Vec3& halfSize, const Material& m) {
-  // axis-aligned box, 6 faces, each 2 tris
-  Vec3 minP = center - halfSize;
-  Vec3 maxP = center + halfSize;
-
-  Vec3 p000{minP.x, minP.y, minP.z};
-  Vec3 p001{minP.x, minP.y, maxP.z};
-  Vec3 p010{minP.x, maxP.y, minP.z};
-  Vec3 p011{minP.x, maxP.y, maxP.z};
-  Vec3 p100{maxP.x, minP.y, minP.z};
-  Vec3 p101{maxP.x, minP.y, maxP.z};
-  Vec3 p110{maxP.x, maxP.y, minP.z};
-  Vec3 p111{maxP.x, maxP.y, maxP.z};
-
-  // +X (right): p100 p101 p111 p110
-  addQuadAsTwoTris(out, p100, p101, p111, p110, m);
-  // -X (left): p000 p010 p011 p001
-  addQuadAsTwoTris(out, p000, p010, p011, p001, m);
-  // +Y (top): p010 p110 p111 p011
-  addQuadAsTwoTris(out, p010, p110, p111, p011, m);
-  // -Y (bottom): p000 p001 p101 p100
-  addQuadAsTwoTris(out, p000, p001, p101, p100, m);
-  // +Z (front): p001 p011 p111 p101
-  addQuadAsTwoTris(out, p001, p011, p111, p101, m);
-  // -Z (back): p000 p100 p110 p010
-  addQuadAsTwoTris(out, p000, p100, p110, p010, m);
-}
-
-int main() {
-  // 输出分辨率
-  const int W = 800;
-  const int H = 600;
-
-  // 构造 Cornell Box 场景（用三角形面片）
-  std::vector<Triangle> scene;
-  scene.reserve(1024);
-
-  // Cornell box bounds
-  // x: [-1,1], y: [-1,1], z: [-2,-6]
-  const double x0 = -1.0, x1 = 1.0;
-  const double y0 = -1.0, y1 = 1.0;
-  const double zNear = -2.0, zBack = -6.0;
-
-  Material leftWall;  leftWall.type = Material::Type::Diffuse; leftWall.baseColor = {0.95, 0.20, 0.20}; leftWall.checker = false;
-  Material rightWall; rightWall.type = Material::Type::Diffuse; rightWall.baseColor = {0.20, 0.95, 0.20}; rightWall.checker = false;
-  Material backWall;  backWall.type = Material::Type::Diffuse; backWall.baseColor = {0.90, 0.90, 0.90}; backWall.checker = false;
-  Material floorWall; floorWall.type = Material::Type::Diffuse; floorWall.baseColor = {0.90, 0.90, 0.90}; floorWall.checker = true;
-  Material ceilWall;  ceilWall.type = Material::Type::Diffuse; ceilWall.baseColor = {0.85, 0.85, 0.85}; ceilWall.checker = false;
-
-  // 四壁（这里额外加了天花板，便于反射更丰富；如需严格“四壁”，可注释 ceiling）
-  // Left wall (x=x0), CCW from inside
-  addQuadAsTwoTris(scene,
-    Vec3{x0, y0, zNear}, Vec3{x0, y0, zBack}, Vec3{x0, y1, zBack}, Vec3{x0, y1, zNear},
-    leftWall);
-
-  // Right wall (x=x1)
-  addQuadAsTwoTris(scene,
-    Vec3{x1, y0, zBack}, Vec3{x1, y0, zNear}, Vec3{x1, y1, zNear}, Vec3{x1, y1, zBack},
-    rightWall);
-
-  // Back wall (z=zBack)
-  addQuadAsTwoTris(scene,
-    Vec3{x0, y0, zBack}, Vec3{x1, y0, zBack}, Vec3{x1, y1, zBack}, Vec3{x0, y1, zBack},
-    backWall);
-
-  // Floor (y=y0)
-  addQuadAsTwoTris(scene,
-    Vec3{x0, y0, zBack}, Vec3{x1, y0, zBack}, Vec3{x1, y0, zNear}, Vec3{x0, y0, zNear},
-    floorWall);
-
-  // Ceiling (y=y1)
-  addQuadAsTwoTris(scene,
-    Vec3{x0, y1, zNear}, Vec3{x1, y1, zNear}, Vec3{x1, y1, zBack}, Vec3{x0, y1, zBack},
-    ceilWall);
-
-  // 两个金属盒子（镜面反射）
-  Material blueMetal;
-  blueMetal.type = Material::Type::Mirror;
-  blueMetal.baseColor = {0.35, 0.55, 1.00}; // 蓝色金属 tint
-  blueMetal.mirrorStrength = 0.95;
-
-  Material yellowMetal;
-  yellowMetal.type = Material::Type::Mirror;
-  yellowMetal.baseColor = {1.00, 0.90, 0.25}; // 黄色金属 tint
-  yellowMetal.mirrorStrength = 0.95;
-
-  // 放在地面上（y0=-1），盒子底面稍微抬一点避免穿插
-  addBox(scene, Vec3{-0.45, -0.55, -4.7}, Vec3{0.25, 0.45, 0.25}, blueMetal);
-  addBox(scene, Vec3{ 0.45, -0.65, -3.8}, Vec3{0.30, 0.35, 0.30}, yellowMetal);
-
-  // Camera viewport 抽象为场景中的一个矩形平面（内部用两个三角形覆盖，这里用 Rect viewport 简化映射）
-  Vec3 camOrigin{0.0, 0.0, 0.0};
-  Vec3 vpCenter{0.0, 0.0, -1.0};
-
-  // 视场决定 viewport 大小：halfW/halfH
-  // 设定垂直 FOV ~ 55°
-  double fovY = 55.0 * M_PI / 180.0;
-  double halfH = std::tan(fovY * 0.5) * 1.0;          // plane 距离为 1
-  double halfW = halfH * (double(W) / double(H));
-
-  Vec3 vpRight{1, 0, 0};
-  Vec3 vpUp{0, 1, 0};
-
-  Viewport cameraVP = Viewport::makeCameraRect(camOrigin, vpCenter, vpRight, vpUp, halfW, halfH, W, H);
-
-  // 递归深度（镜面反射级数）
-  const int maxDepth = 2;
-
-  std::cerr << "Rendering...\n";
-  Image img = renderViewport(cameraVP, scene, /*depth=*/0, maxDepth, /*excludeTriId=*/-1);
-
-  // 输出
-  writePPM_P6("output.ppm", img);
-  std::cerr << "Done. Wrote output.ppm\n";
-  return 0;
-}

experiments/rt4.cpp

@@ -1,743 +0,0 @@
-/*
-Cornell Box: triangle-driven rasterization + Z-buffer + recursive planar mirror reflection (render-to-texture)
-
-Constraints satisfied:
-- NO "main camera per-pixel ray cast & triangle intersection".
-- Visibility is from projection + triangle rasterization + Z-test only.
-- Mirror reflection uses recursive offscreen rendering from a mirrored camera, then samples that image.
-
-Key fixes vs the broken/dark versions:
-- Add tone mapping + gamma encoding on output (prevents "too dark" or "washed out / flat").
-- Use point light + ambient with face-forward normals for diffuse.
-- Mirror cache keyed by plane (two triangles on a face share one reflection render).
-- When rendering the mirror pass, exclude all triangles coplanar with that mirror plane to avoid self-occlusion.
-
-Build:
-  g++ -O2 -std=c++17 cornell_raster_reflect.cpp -o cornell
-
-Run:
-  ./cornell
-
-Output:
-  output.ppm (P3)
-*/
-
-#include <algorithm>
-#include <cmath>
-#include <cstdint>
-#include <fstream>
-#include <iostream>
-#include <limits>
-#include <optional>
-#include <string>
-#include <unordered_map>
-#include <utility>
-#include <vector>
-
-static constexpr float kEps = 1e-6f;
-static constexpr float kInf = std::numeric_limits<float>::infinity();
-
-struct Vec2 {
-	float x = 0, y = 0;
-	Vec2() = default;
-	Vec2(float _x, float _y) : x(_x), y(_y) {
-	}
-	Vec2 operator+(const Vec2 &o) const {
-		return { x + o.x, y + o.y };
-	}
-	Vec2 operator-(const Vec2 &o) const {
-		return { x - o.x, y - o.y };
-	}
-	Vec2 operator*(float s) const {
-		return { x * s, y * s };
-	}
-};
-
-struct Vec3 {
-	float x = 0, y = 0, z = 0;
-	Vec3() = default;
-	Vec3(float _x, float _y, float _z) : x(_x), y(_y), z(_z) {
-	}
-	Vec3 operator+(const Vec3 &o) const {
-		return { x + o.x, y + o.y, z + o.z };
-	}
-	Vec3 operator-(const Vec3 &o) const {
-		return { x - o.x, y - o.y, z - o.z };
-	}
-	Vec3 operator*(float s) const {
-		return { x * s, y * s, z * s };
-	}
-	Vec3 operator/(float s) const {
-		return { x / s, y / s, z / s };
-	}
-	Vec3 &operator+=(const Vec3 &o) {
-		x += o.x;
-		y += o.y;
-		z += o.z;
-		return *this;
-	}
-};
-
-static inline Vec3 operator*(float s, const Vec3 &v) {
-	return v * s;
-}
-
-static inline float dot(const Vec3 &a, const Vec3 &b) {
-	return a.x * b.x + a.y * b.y + a.z * b.z;
-}
-
-static inline Vec3 cross(const Vec3 &a, const Vec3 &b) {
-	return {
-		a.y * b.z - a.z * b.y,
-		a.z * b.x - a.x * b.z,
-		a.x * b.y - a.y * b.x
-	};
-}
-
-static inline float length(const Vec3 &v) {
-	return std::sqrt(dot(v, v));
-}
-
-static inline Vec3 normalize(const Vec3 &v) {
-	float len = length(v);
-	if (len < kEps)
-		return { 0, 0, 0 };
-	return v / len;
-}
-
-static inline Vec3 clamp01(const Vec3 &c) {
-	return {
-		std::clamp(c.x, 0.0f, 1.0f),
-		std::clamp(c.y, 0.0f, 1.0f),
-		std::clamp(c.z, 0.0f, 1.0f),
-	};
-}
-
-static inline Vec3 hadamard(const Vec3 &a, const Vec3 &b) {
-	return { a.x * b.x, a.y * b.y, a.z * b.z };
-}
-
-static inline Vec3 reinhardTonemap(const Vec3 &c) {
-	// Per-channel Reinhard; simple and stable for this demo.
-	return {
-		c.x / (1.0f + c.x),
-		c.y / (1.0f + c.y),
-		c.z / (1.0f + c.z),
-	};
-}
-
-static inline float gammaEncode(float linear, float gamma = 2.2f) {
-	linear = std::max(0.0f, linear);
-	return std::pow(linear, 1.0f / gamma);
-}
-
-static inline Vec3 gammaEncode(const Vec3 &linear, float gamma = 2.2f) {
-	return { gammaEncode(linear.x, gamma), gammaEncode(linear.y, gamma), gammaEncode(linear.z, gamma) };
-}
-
-enum class MaterialType {
-	Diffuse = 0,
-	Metal = 1
-};
-
-struct Material {
-	MaterialType type = MaterialType::Diffuse;
-	Vec3 albedo = { 1, 1, 1 }; // Diffuse base color
-	float reflectance = 1.0f; // Metal reflectance [0,1]
-};
-
-struct Triangle {
-	Vec3 p0, p1, p2;
-	Material mat;
-	Vec3 normal; // flat normal (unit)
-};
-
-static inline Vec3 computeFlatNormal(const Triangle &t) {
-	return normalize(cross(t.p1 - t.p0, t.p2 - t.p0));
-}
-
-struct Plane {
-	Vec3 p; // point on plane
-	Vec3 n; // unit normal (oriented)
-};
-
-static inline float signedDistance(const Plane &pl, const Vec3 &x) {
-	return dot(pl.n, x - pl.p);
-}
-
-static inline Vec3 reflectPointAboutPlane(const Vec3 &x, const Plane &pl) {
-	float d = signedDistance(pl, x);
-	return x - (2.0f * d) * pl.n;
-}
-
-static inline Vec3 reflectVectorAboutPlane(const Vec3 &v, const Plane &pl) {
-	return v - (2.0f * dot(v, pl.n)) * pl.n;
-}
-
-struct Image {
-	int w = 0, h = 0;
-	std::vector<Vec3> pix; // linear HDR-ish buffer
-
-	void reset(int width, int height, Vec3 clear = { 0, 0, 0 }) {
-		w = width;
-		h = height;
-		pix.assign((size_t)w * (size_t)h, clear);
-	}
-
-	Vec3 get(int x, int y) const {
-		if (x < 0 || x >= w || y < 0 || y >= h)
-			return { 0, 0, 0 };
-		return pix[(size_t)y * (size_t)w + (size_t)x];
-	}
-
-	void set(int x, int y, const Vec3 &c) {
-		if (x < 0 || x >= w || y < 0 || y >= h)
-			return;
-		pix[(size_t)y * (size_t)w + (size_t)x] = c;
-	}
-
-	Vec3 sampleNearest(float u, float v) const {
-		if (w <= 0 || h <= 0)
-			return { 0, 0, 0 };
-		int x = (int)std::floor(u * (float)w);
-		int y = (int)std::floor(v * (float)h);
-		x = std::clamp(x, 0, w - 1);
-		y = std::clamp(y, 0, h - 1);
-		return get(x, y);
-	}
-
-	void writePPM_P3(const std::string &path) const {
-		std::ofstream out(path, std::ios::out);
-		if (!out) {
-			std::cerr << "Failed to open: " << path << "\n";
-			return;
-		}
-		out << "P3\n"
-			<< w << " " << h << "\n255\n";
-		for (int y = 0; y < h; ++y) {
-			for (int x = 0; x < w; ++x) {
-				Vec3 c = get(x, y);
-
-				// Fix: tone mapping + gamma for display
-				c = reinhardTonemap(c);
-				c = gammaEncode(c, 2.2f);
-				c = clamp01(c);
-
-				int r = (int)std::round(c.x * 255.0f);
-				int g = (int)std::round(c.y * 255.0f);
-				int b = (int)std::round(c.z * 255.0f);
-				out << r << " " << g << " " << b << "\n";
-			}
-		}
-	}
-};
-
-struct DepthBuffer {
-	int w = 0, h = 0;
-	std::vector<float> z; // camera-space z, smaller=closer
-
-	void reset(int width, int height) {
-		w = width;
-		h = height;
-		z.assign((size_t)w * (size_t)h, kInf);
-	}
-
-	float get(int x, int y) const {
-		return z[(size_t)y * (size_t)w + (size_t)x];
-	}
-
-	void set(int x, int y, float v) {
-		z[(size_t)y * (size_t)w + (size_t)x] = v;
-	}
-};
-
-struct RenderTarget {
-	Image color;
-	DepthBuffer depth;
-};
-
-struct Camera {
-	Vec3 origin;
-	Vec3 forward;
-	Vec3 right;
-	Vec3 up;
-
-	float fovY_deg = 60.0f;
-	float nearZ = 0.05f;
-	float farZ = 50.0f;
-
-	int imgW = 640;
-	int imgH = 480;
-
-	static Camera lookAt(const Vec3 &eye, const Vec3 &target, const Vec3 &upHint,
-		float fovY_deg, float nearZ, float farZ,
-		int w, int h) {
-		Camera c;
-		c.origin = eye;
-		c.forward = normalize(target - eye);
-		c.right = normalize(cross(c.forward, upHint));
-		c.up = normalize(cross(c.right, c.forward));
-		c.fovY_deg = fovY_deg;
-		c.nearZ = nearZ;
-		c.farZ = farZ;
-		c.imgW = w;
-		c.imgH = h;
-		return c;
-	}
-
-	Vec3 worldToCamera(const Vec3 &p) const {
-		Vec3 d = p - origin;
-		return { dot(d, right), dot(d, up), dot(d, forward) }; // z>0 in front
-	}
-
-	bool projectToScreen(const Vec3 &worldP, Vec2 &outXY, float &outInvZ, float &outCamZ) const {
-		Vec3 pc = worldToCamera(worldP);
-		float z = pc.z;
-		outCamZ = z;
-		if (z <= nearZ)
-			return false;
-
-		float aspect = (float)imgW / (float)imgH;
-		float fovY = fovY_deg * (3.1415926535f / 180.0f);
-		float tanHalf = std::tan(fovY * 0.5f);
-
-		// Perspective projection with vertical fov
-		float ndcX = (pc.x / (z * tanHalf)) / aspect;
-		float ndcY = (pc.y / (z * tanHalf));
-
-		float px = (ndcX * 0.5f + 0.5f) * (float)imgW;
-		float py = (1.0f - (ndcY * 0.5f + 0.5f)) * (float)imgH;
-
-		outXY = { px, py };
-		outInvZ = 1.0f / z;
-		return true;
-	}
-};
-
-struct ScreenVertex {
-	Vec2 s;
-	float invZ;
-	Vec3 worldP;
-};
-
-static inline float edgeFunction(const Vec2 &a, const Vec2 &b, const Vec2 &c) {
-	return (c.x - a.x) * (b.y - a.y) - (c.y - a.y) * (b.x - a.x);
-}
-
-static inline float triangleAreaPixels(const Vec2 &a, const Vec2 &b, const Vec2 &c) {
-	return std::abs(edgeFunction(a, b, c)) * 0.5f;
-}
-
-struct RenderConfig {
-	int maxDepth = 2;
-	float minMirrorAreaPixels = 6.0f;
-	Vec3 clearColor = { 0.0f, 0.0f, 0.0f }; // linear clear
-};
-
-struct RenderContext {
-	const std::vector<Triangle> *tris = nullptr;
-	RenderConfig cfg;
-
-	// Simple point light (no shadows)
-	Vec3 lightPos = { 0.0f, 1.95f, 0.0f };
-	Vec3 lightColor = { 1.0f, 1.0f, 1.0f };
-	float lightIntensity = 25.0f;
-
-	Vec3 ambient = { 0.06f, 0.06f, 0.06f };
-};
-
-static inline Vec3 faceForwardToView(Vec3 n, const Vec3 &worldP, const Camera &cam) {
-	Vec3 V = normalize(cam.origin - worldP);
-	if (dot(n, V) < 0.0f)
-		n = n * -1.0f;
-	return n;
-}
-
-static inline Vec3 shadeDiffuse(const Triangle &t,
-	const Vec3 &worldP,
-	const Vec3 &worldN,
-	const Camera &cam,
-	const RenderContext &ctx) {
-	Vec3 N = faceForwardToView(worldN, worldP, cam);
-
-	Vec3 Lvec = ctx.lightPos - worldP;
-	float dist2 = std::max(kEps, dot(Lvec, Lvec));
-	Vec3 L = normalize(Lvec);
-
-	float ndotl = std::max(0.0f, dot(N, L));
-	float atten = 1.0f / dist2;
-
-	Vec3 direct = (ctx.lightIntensity * ndotl * atten) * ctx.lightColor;
-	Vec3 lit = ctx.ambient + direct;
-
-	return hadamard(t.mat.albedo, lit);
-}
-
-static inline Plane orientedPlaneTowardCamera(const Triangle &t, const Camera &cam) {
-	Plane pl;
-	pl.p = t.p0;
-	pl.n = normalize(t.normal);
-	// Ensure camera is on the positive side (for consistent mirroring orientation)
-	float s = dot(pl.n, cam.origin - pl.p);
-	if (s < 0.0f)
-		pl.n = pl.n * -1.0f;
-	return pl;
-}
-
-static inline Camera mirrorCameraAcrossPlane(const Camera &cam, const Plane &pl) {
-	Camera mc = cam;
-	mc.origin = reflectPointAboutPlane(cam.origin, pl);
-	mc.forward = normalize(reflectVectorAboutPlane(cam.forward, pl));
-	mc.up = normalize(reflectVectorAboutPlane(cam.up, pl));
-	mc.right = normalize(cross(mc.forward, mc.up));
-	mc.up = normalize(cross(mc.right, mc.forward));
-	return mc;
-}
-
-static inline bool triangleCoplanarWithPlane(const Triangle &t, const Plane &pl) {
-	// Exclude triangles on the same plane (both triangles of a quad face)
-	// Use both parallel-normal test and vertex distance test.
-	float parallel = std::abs(dot(normalize(t.normal), pl.n));
-	if (parallel < 0.999f)
-		return false;
-
-	float d0 = std::abs(signedDistance(pl, t.p0));
-	float d1 = std::abs(signedDistance(pl, t.p1));
-	float d2 = std::abs(signedDistance(pl, t.p2));
-	return (d0 < 1e-4f && d1 < 1e-4f && d2 < 1e-4f);
-}
-
-struct PlaneKey {
-	int nx = 0, ny = 0, nz = 0;
-	int d = 0; // plane equation: n·x + d = 0 (quantized)
-	bool operator==(const PlaneKey &o) const {
-		return nx == o.nx && ny == o.ny && nz == o.nz && d == o.d;
-	}
-};
-
-struct PlaneKeyHash {
-	size_t operator()(const PlaneKey &k) const noexcept {
-		// Simple hash combine
-		size_t h = 1469598103934665603ull;
-		auto mix = [&](uint64_t v) {
-			h ^= v + 0x9e3779b97f4a7c15ull + (h << 6) + (h >> 2);
-		};
-		mix((uint64_t)(uint32_t)k.nx);
-		mix((uint64_t)(uint32_t)k.ny);
-		mix((uint64_t)(uint32_t)k.nz);
-		mix((uint64_t)(uint32_t)k.d);
-		return h;
-	}
-};
-
-static inline PlaneKey makePlaneKey(const Plane &pl) {
-	// Quantize plane normal and offset for caching; oriented plane already.
-	// Plane equation: n·x + d = 0 where d = -n·p
-	float d = -dot(pl.n, pl.p);
-	const float sN = 10000.0f;
-	const float sD = 10000.0f;
-
-	PlaneKey k;
-	k.nx = (int)std::round(pl.n.x * sN);
-	k.ny = (int)std::round(pl.n.y * sN);
-	k.nz = (int)std::round(pl.n.z * sN);
-	k.d = (int)std::round(d * sD);
-	return k;
-}
-
-struct MirrorCacheEntry {
-	Plane plane;
-	Camera mirrorCam;
-	RenderTarget rt;
-	bool ready = false;
-};
-
-static RenderTarget renderPass(const Camera &cam,
-	const RenderContext &ctx,
-	int recursionDepth,
-	const Plane *excludeCoplanarPlaneOrNull);
-
-static RenderTarget renderPass(const Camera &cam,
-	const RenderContext &ctx,
-	int recursionDepth,
-	const Plane *excludeCoplanarPlaneOrNull) {
-	RenderTarget rt;
-	rt.color.reset(cam.imgW, cam.imgH, ctx.cfg.clearColor);
-	rt.depth.reset(cam.imgW, cam.imgH);
-
-	// Cache planar reflections per plane (per pass)
-	std::unordered_map<PlaneKey, MirrorCacheEntry, PlaneKeyHash> mirrorCache;
-	mirrorCache.reserve(64);
-
-	for (int ti = 0; ti < (int)ctx.tris->size(); ++ti) {
-		const Triangle &t = (*ctx.tris)[ti];
-
-		if (excludeCoplanarPlaneOrNull && triangleCoplanarWithPlane(t, *excludeCoplanarPlaneOrNull)) {
-			continue;
-		}
-
-		Vec2 s0, s1, s2;
-		float invZ0, invZ1, invZ2;
-		float z0, z1, z2;
-
-		bool ok0 = cam.projectToScreen(t.p0, s0, invZ0, z0);
-		bool ok1 = cam.projectToScreen(t.p1, s1, invZ1, z1);
-		bool ok2 = cam.projectToScreen(t.p2, s2, invZ2, z2);
-
-		// Minimal clipping: if any vertex behind near, skip triangle
-		if (!(ok0 && ok1 && ok2))
-			continue;
-
-		ScreenVertex sv[3];
-		sv[0] = { s0, invZ0, t.p0 };
-		sv[1] = { s1, invZ1, t.p1 };
-		sv[2] = { s2, invZ2, t.p2 };
-
-		float areaPx = triangleAreaPixels(sv[0].s, sv[1].s, sv[2].s);
-
-		float minXf = std::floor(std::min({ sv[0].s.x, sv[1].s.x, sv[2].s.x }));
-		float maxXf = std::ceil(std::max({ sv[0].s.x, sv[1].s.x, sv[2].s.x }));
-		float minYf = std::floor(std::min({ sv[0].s.y, sv[1].s.y, sv[2].s.y }));
-		float maxYf = std::ceil(std::max({ sv[0].s.y, sv[1].s.y, sv[2].s.y }));
-
-		int minX = std::clamp((int)minXf, 0, cam.imgW - 1);
-		int maxX = std::clamp((int)maxXf, 0, cam.imgW - 1);
-		int minY = std::clamp((int)minYf, 0, cam.imgH - 1);
-		int maxY = std::clamp((int)maxYf, 0, cam.imgH - 1);
-
-		float triArea = edgeFunction(sv[0].s, sv[1].s, sv[2].s);
-		if (std::abs(triArea) < kEps)
-			continue;
-		float invTriArea = 1.0f / triArea;
-
-		for (int y = minY; y <= maxY; ++y) {
-			for (int x = minX; x <= maxX; ++x) {
-				Vec2 p = { (float)x + 0.5f, (float)y + 0.5f };
-
-				float w0 = edgeFunction(sv[1].s, sv[2].s, p) * invTriArea;
-				float w1 = edgeFunction(sv[2].s, sv[0].s, p) * invTriArea;
-				float w2 = edgeFunction(sv[0].s, sv[1].s, p) * invTriArea;
-
-				if (w0 < -kEps || w1 < -kEps || w2 < -kEps)
-					continue;
-
-				// Perspective-correct interpolation: invZ at pixel
-				float invZ = w0 * sv[0].invZ + w1 * sv[1].invZ + w2 * sv[2].invZ;
-				if (invZ <= kEps)
-					continue;
-				float camZ = 1.0f / invZ;
-
-				float oldZ = rt.depth.get(x, y);
-				if (camZ >= oldZ)
-					continue;
-
-				// Interpolate world position perspective-correctly
-				Vec3 worldP = (w0 * sv[0].worldP * sv[0].invZ + w1 * sv[1].worldP * sv[1].invZ + w2 * sv[2].worldP * sv[2].invZ) / invZ;
-
-				rt.depth.set(x, y, camZ);
-
-				Vec3 outLinear { 0, 0, 0 };
-
-				if (t.mat.type == MaterialType::Diffuse) {
-					outLinear = shadeDiffuse(t, worldP, t.normal, cam, ctx);
-				} else {
-					float refl = std::clamp(t.mat.reflectance, 0.0f, 1.0f);
-
-					bool canRecurse = (refl > 0.0f) && (recursionDepth < ctx.cfg.maxDepth) && (areaPx >= ctx.cfg.minMirrorAreaPixels);
-
-					Vec3 base = shadeDiffuse(t, worldP, t.normal, cam, ctx);
-
-					if (!canRecurse) {
-						outLinear = base;
-					} else {
-						Plane pl = orientedPlaneTowardCamera(t, cam);
-						PlaneKey key = makePlaneKey(pl);
-
-						auto it = mirrorCache.find(key);
-						if (it == mirrorCache.end()) {
-							MirrorCacheEntry entry;
-							entry.plane = pl;
-							entry.mirrorCam = mirrorCameraAcrossPlane(cam, pl);
-
-							// Render mirrored pass, excluding this mirror plane (avoid self)
-							entry.rt = renderPass(entry.mirrorCam, ctx, recursionDepth + 1, &entry.plane);
-							entry.ready = true;
-
-							it = mirrorCache.emplace(key, std::move(entry)).first;
-						}
-
-						const MirrorCacheEntry &entry = it->second;
-
-						Vec2 rxy;
-						float rinvZ, rcamZ;
-						if (entry.ready && entry.mirrorCam.projectToScreen(worldP, rxy, rinvZ, rcamZ)) {
-							float u = rxy.x / (float)entry.rt.color.w;
-							float v = rxy.y / (float)entry.rt.color.h;
-
-							if (u >= 0.0f && u <= 1.0f && v >= 0.0f && v <= 1.0f) {
-								Vec3 sample = entry.rt.color.sampleNearest(u, v);
-								// Ideal mirror: mostly reflection; keep tiny base to avoid "reflection outside screen => black"
-								float baseKeep = 0.08f;
-								outLinear = sample * refl + base * (1.0f - refl);
-								outLinear = outLinear + baseKeep * base;
-							} else {
-								outLinear = base;
-							}
-						} else {
-							outLinear = base;
-						}
-					}
-				}
-
-				rt.color.set(x, y, outLinear);
-			}
-		}
-	}
-
-	return rt;
-}
-
-// --- Scene building helpers ---
-
-static void addQuad(std::vector<Triangle> &tris,
-	const Vec3 &a, const Vec3 &b, const Vec3 &c, const Vec3 &d,
-	const Material &mat,
-	bool ccw = true) {
-	Triangle t1, t2;
-	if (ccw) {
-		t1.p0 = a;
-		t1.p1 = b;
-		t1.p2 = c;
-		t2.p0 = a;
-		t2.p1 = c;
-		t2.p2 = d;
-	} else {
-		t1.p0 = a;
-		t1.p1 = c;
-		t1.p2 = b;
-		t2.p0 = a;
-		t2.p1 = d;
-		t2.p2 = c;
-	}
-	t1.mat = mat;
-	t2.mat = mat;
-	t1.normal = computeFlatNormal(t1);
-	t2.normal = computeFlatNormal(t2);
-	tris.push_back(t1);
-	tris.push_back(t2);
-}
-
-static void addBox(std::vector<Triangle> &tris,
-	const Vec3 &mn, const Vec3 &mx,
-	const Material &mat) {
-	Vec3 p000 { mn.x, mn.y, mn.z };
-	Vec3 p001 { mn.x, mn.y, mx.z };
-	Vec3 p010 { mn.x, mx.y, mn.z };
-	Vec3 p011 { mn.x, mx.y, mx.z };
-	Vec3 p100 { mx.x, mn.y, mn.z };
-	Vec3 p101 { mx.x, mn.y, mx.z };
-	Vec3 p110 { mx.x, mx.y, mn.z };
-	Vec3 p111 { mx.x, mx.y, mx.z };
-
-	addQuad(tris, p000, p001, p011, p010, mat, true); // -X
-	addQuad(tris, p100, p110, p111, p101, mat, true); // +X
-	addQuad(tris, p000, p100, p101, p001, mat, true); // -Y
-	addQuad(tris, p010, p011, p111, p110, mat, true); // +Y
-	addQuad(tris, p000, p010, p110, p100, mat, true); // -Z
-	addQuad(tris, p001, p101, p111, p011, mat, true); // +Z
-}
-
-static std::vector<Triangle> buildCornellBoxScene() {
-	std::vector<Triangle> tris;
-	tris.reserve(256);
-
-	// Room: x in [-1,1], y in [0,2], z in [-1,1]; front is open (no wall at z=+1)
-	float xmin = -1.0f, xmax = 1.0f;
-	float ymin = 0.0f, ymax = 2.0f;
-	float zmin = -1.0f, zmax = 1.0f;
-
-	Material white { MaterialType::Diffuse, { 0.85f, 0.85f, 0.85f }, 0.0f };
-	Material red { MaterialType::Diffuse, { 0.85f, 0.20f, 0.20f }, 0.0f };
-	Material green { MaterialType::Diffuse, { 0.20f, 0.85f, 0.20f }, 0.0f };
-
-	// Floor (y=ymin)
-	addQuad(tris,
-		{ xmin, ymin, zmin }, { xmax, ymin, zmin }, { xmax, ymin, zmax }, { xmin, ymin, zmax },
-		white, true);
-
-	// Ceiling (y=ymax)
-	addQuad(tris,
-		{ xmin, ymax, zmax }, { xmax, ymax, zmax }, { xmax, ymax, zmin }, { xmin, ymax, zmin },
-		white, true);
-
-	// Back wall (z=zmin)
-	addQuad(tris,
-		{ xmin, ymin, zmin }, { xmin, ymax, zmin }, { xmax, ymax, zmin }, { xmax, ymin, zmin },
-		white, true);
-
-	// Left wall (x=xmin)
-	addQuad(tris,
-		{ xmin, ymin, zmax }, { xmin, ymax, zmax }, { xmin, ymax, zmin }, { xmin, ymin, zmin },
-		red, true);
-
-	// Right wall (x=xmax)
-	addQuad(tris,
-		{ xmax, ymin, zmin }, { xmax, ymax, zmin }, { xmax, ymax, zmax }, { xmax, ymin, zmax },
-		green, true);
-
-	// Two metal boxes
-	Material blueMetal { MaterialType::Metal, { 0.10f, 0.20f, 0.95f }, 1.0f };
-	Material yellowMetal { MaterialType::Metal, { 0.95f, 0.85f, 0.10f }, 1.0f };
-
-	addBox(tris,
-		Vec3 { -0.75f, 0.0f, -0.20f },
-		Vec3 { -0.25f, 0.65f, 0.35f },
-		blueMetal);
-
-	addBox(tris,
-		Vec3 { 0.20f, 0.0f, -0.70f },
-		Vec3 { 0.75f, 1.05f, -0.10f },
-		yellowMetal);
-
-	for (auto &t : tris)
-		t.normal = computeFlatNormal(t);
-	return tris;
-}
-
-int main() {
-	const int W = 520;
-	const int H = 520;
-
-	std::vector<Triangle> scene = buildCornellBoxScene();
-
-	// Keep camera outside-ish but close; perspective should be obvious
-	Camera cam = Camera::lookAt(
-		/*eye*/ Vec3 { 0.0f, 1.0f, 2.7f },
-		/*target*/ Vec3 { 0.0f, 1.0f, 0.0f },
-		/*up*/ Vec3 { 0.0f, 1.0f, 0.0f },
-		/*fov*/ 55.0f,
-		/*near*/ 0.05f,
-		/*far*/ 50.0f,
-		/*w,h*/ W, H);
-
-	RenderContext ctx;
-	ctx.tris = &scene;
-
-	ctx.cfg.maxDepth = 2;
-	ctx.cfg.minMirrorAreaPixels = 8.0f;
-	ctx.cfg.clearColor = { 0.0f, 0.0f, 0.0f };
-
-	// Light near ceiling center
-	ctx.lightPos = { 0.0f, 1.95f, -0.1f };
-	ctx.lightColor = { 1.0f, 1.0f, 1.0f };
-	ctx.lightIntensity = 30.0f;
-	ctx.ambient = { 0.06f, 0.06f, 0.06f };
-
-	RenderTarget rt = renderPass(cam, ctx, /*recDepth*/ 0, /*excludePlane*/ nullptr);
-	rt.color.writePPM_P3("output.ppm");
-
-	std::cout << "Wrote output.ppm (" << W << "x" << H << ")\n";
-	std::cout << "Convert if needed:\n";
-	std::cout << "  magick output.ppm output.png\n";
-	return 0;
-}

experiments/rt5.cpp

@@ -1,830 +0,0 @@
-// cornell_patchstep_fixed.cpp
-// g++ -std=c++17 -O2 cornell_patchstep_fixed.cpp -o render && ./render
-// 输出：out.ppm
-//
-// 修复点（对应你的反馈）：
-// - 之前递归时“下一级 viewport 在最终图片中占哪块区域”的信息虽然隐含在 vm.screenUV/clip 中，
-//   但逻辑上不够显式，容易在扩展/改动时导致下级按“全屏”比例写入。
-// - 现在为 renderTriangleWithTriangle / renderViewport 显式增加参数：
-//   `viewportRegion` = 当前 viewport 在最终图片中的屏幕UV三角形(3个二维坐标)。
-// - 所有“投影到屏幕”的计算都通过 viewportRegion 完成；所有写入也强制 clip 在 viewportRegion 内。
-// - 向下递归时，会根据“当前三角形在当前 viewport 上的投影 triScreenUV”计算出下一级 viewportRegion 并传入。
-
-#include <algorithm>
-#include <array>
-#include <cassert>
-#include <cmath>
-#include <cstdint>
-#include <fstream>
-#include <iostream>
-#include <limits>
-#include <optional>
-#include <string>
-#include <utility>
-#include <vector>
-
-static constexpr double kEps = 1e-9;
-
-static inline double clamp01(double x) {
-	return x < 0.0 ? 0.0 : (x > 1.0 ? 1.0 : x);
-}
-static inline int clampi(int x, int lo, int hi) {
-	return x < lo ? lo : (x > hi ? hi : x);
-}
-
-struct Vec2 {
-	double x = 0, y = 0;
-	Vec2() = default;
-	Vec2(double xx, double yy) : x(xx), y(yy) {
-	}
-	Vec2 operator+(const Vec2 &o) const {
-		return Vec2 { x + o.x, y + o.y };
-	}
-	Vec2 operator-(const Vec2 &o) const {
-		return Vec2 { x - o.x, y - o.y };
-	}
-	Vec2 operator*(double s) const {
-		return Vec2 { x * s, y * s };
-	}
-};
-
-static inline double dot(const Vec2 &a, const Vec2 &b) {
-	return a.x * b.x + a.y * b.y;
-}
-static inline double cross2(const Vec2 &a, const Vec2 &b) {
-	return a.x * b.y - a.y * b.x;
-}
-
-struct Vec3 {
-	double x = 0, y = 0, z = 0;
-	Vec3() = default;
-	Vec3(double xx, double yy, double zz) : x(xx), y(yy), z(zz) {
-	}
-	Vec3 operator+(const Vec3 &o) const {
-		return Vec3 { x + o.x, y + o.y, z + o.z };
-	}
-	Vec3 operator-(const Vec3 &o) const {
-		return Vec3 { x - o.x, y - o.y, z - o.z };
-	}
-	Vec3 operator*(double s) const {
-		return Vec3 { x * s, y * s, z * s };
-	}
-	Vec3 operator/(double s) const {
-		return Vec3 { x / s, y / s, z / s };
-	}
-};
-
-static inline Vec3 operator*(double s, const Vec3 &v) {
-	return v * s;
-}
-static inline double dot(const Vec3 &a, const Vec3 &b) {
-	return a.x * b.x + a.y * b.y + a.z * b.z;
-}
-static inline Vec3 cross(const Vec3 &a, const Vec3 &b) {
-	return Vec3 {
-		a.y * b.z - a.z * b.y,
-		a.z * b.x - a.x * b.z,
-		a.x * b.y - a.y * b.x,
-	};
-}
-static inline double length(const Vec3 &v) {
-	return std::sqrt(dot(v, v));
-}
-static inline Vec3 normalize(const Vec3 &v) {
-	double len = length(v);
-	if (len < kEps)
-		return Vec3 { 0, 0, 0 };
-	return v / len;
-}
-
-struct Plane {
-	Vec3 n; // unit normal
-	double d; // n·x + d = 0
-};
-
-static inline Plane planeFromTriangle(const Vec3 &a, const Vec3 &b, const Vec3 &c) {
-	Vec3 n = normalize(cross(b - a, c - a));
-	double d = -dot(n, a);
-	return Plane { n, d };
-}
-
-static inline double planeSignedDistance(const Plane &p, const Vec3 &x) {
-	return dot(p.n, x) + p.d;
-}
-
-static inline Vec3 reflectPointAcrossPlane(const Vec3 &point, const Plane &p) {
-	double dist = planeSignedDistance(p, point);
-	return point - 2.0 * dist * p.n;
-}
-
-struct Basis2DOnPlane {
-	Vec3 origin;
-	Vec3 ux;
-	Vec3 uy;
-	Vec3 n;
-};
-
-static inline Basis2DOnPlane makePlaneBasis(const Vec3 &a, const Vec3 &b, const Vec3 &c) {
-	Vec3 n = normalize(cross(b - a, c - a));
-	Vec3 ux = normalize(b - a);
-	Vec3 uy = normalize(cross(n, ux));
-	return Basis2DOnPlane { a, ux, uy, n };
-}
-
-static inline Vec2 to2D(const Basis2DOnPlane &basis, const Vec3 &p) {
-	Vec3 v = p - basis.origin;
-	return Vec2 { dot(v, basis.ux), dot(v, basis.uy) };
-}
-
-static inline Vec3 barycentric2D(const Vec2 &p, const Vec2 &a, const Vec2 &b, const Vec2 &c) {
-	Vec2 v0 = b - a;
-	Vec2 v1 = c - a;
-	Vec2 v2 = p - a;
-	double den = cross2(v0, v1);
-	if (std::fabs(den) < kEps)
-		return Vec3 { -1, -1, -1 };
-	double v = cross2(v2, v1) / den;
-	double w = cross2(v0, v2) / den;
-	double u = 1.0 - v - w;
-	return Vec3 { u, v, w };
-}
-
-static inline bool pointInTri2D(const Vec2 &p, const Vec2 &a, const Vec2 &b, const Vec2 &c) {
-	Vec3 bc = barycentric2D(p, a, b, c);
-	return bc.x >= -1e-12 && bc.y >= -1e-12 && bc.z >= -1e-12;
-}
-
-static inline bool segIntersect2D(const Vec2 &a, const Vec2 &b, const Vec2 &c, const Vec2 &d) {
-	auto orient = [](const Vec2 &p, const Vec2 &q, const Vec2 &r) {
-		return cross2(q - p, r - p);
-	};
-	double o1 = orient(a, b, c);
-	double o2 = orient(a, b, d);
-	double o3 = orient(c, d, a);
-	double o4 = orient(c, d, b);
-
-	auto onSeg = [](const Vec2 &p, const Vec2 &q, const Vec2 &r) {
-		return std::min(p.x, r.x) - 1e-12 <= q.x && q.x <= std::max(p.x, r.x) + 1e-12 && std::min(p.y, r.y) - 1e-12 <= q.y && q.y <= std::max(p.y, r.y) + 1e-12;
-	};
-
-	if ((o1 * o2 < 0) && (o3 * o4 < 0))
-		return true;
-	if (std::fabs(o1) < 1e-12 && onSeg(a, c, b))
-		return true;
-	if (std::fabs(o2) < 1e-12 && onSeg(a, d, b))
-		return true;
-	if (std::fabs(o3) < 1e-12 && onSeg(c, a, d))
-		return true;
-	if (std::fabs(o4) < 1e-12 && onSeg(c, b, d))
-		return true;
-	return false;
-}
-
-static inline bool triOverlap2D(const std::array<Vec2, 3> &t0, const std::array<Vec2, 3> &t1) {
-	for (int i = 0; i < 3; i++) {
-		if (pointInTri2D(t0[i], t1[0], t1[1], t1[2]))
-			return true;
-		if (pointInTri2D(t1[i], t0[0], t0[1], t0[2]))
-			return true;
-	}
-	for (int i = 0; i < 3; i++) {
-		Vec2 a0 = t0[i], b0 = t0[(i + 1) % 3];
-		for (int j = 0; j < 3; j++) {
-			Vec2 a1 = t1[j], b1 = t1[(j + 1) % 3];
-			if (segIntersect2D(a0, b0, a1, b1))
-				return true;
-		}
-	}
-	return false;
-}
-
-// 3D 三角形相交（满足你“Triangle类及相关运算”的要求；渲染主流程不依赖它）
-static inline void triAABB(const Vec3 &a, const Vec3 &b, const Vec3 &c, Vec3 &mn, Vec3 &mx) {
-	mn = Vec3 { std::min({ a.x, b.x, c.x }), std::min({ a.y, b.y, c.y }), std::min({ a.z, b.z, c.z }) };
-	mx = Vec3 { std::max({ a.x, b.x, c.x }), std::max({ a.y, b.y, c.y }), std::max({ a.z, b.z, c.z }) };
-}
-
-static inline bool aabbOverlap(const Vec3 &mn0, const Vec3 &mx0, const Vec3 &mn1, const Vec3 &mx1) {
-	return (mn0.x <= mx1.x + 1e-12 && mx0.x + 1e-12 >= mn1.x) && (mn0.y <= mx1.y + 1e-12 && mx0.y + 1e-12 >= mn1.y) && (mn0.z <= mx1.z + 1e-12 && mx0.z + 1e-12 >= mn1.z);
-}
-
-static inline bool segmentTriangleIntersect(const Vec3 &p0, const Vec3 &p1,
-	const Vec3 &a, const Vec3 &b, const Vec3 &c,
-	double &tOut) {
-	Vec3 dir = p1 - p0;
-	Vec3 e1 = b - a;
-	Vec3 e2 = c - a;
-	Vec3 pvec = cross(dir, e2);
-	double det = dot(e1, pvec);
-	if (std::fabs(det) < 1e-12)
-		return false;
-	double invDet = 1.0 / det;
-
-	Vec3 tvec = p0 - a;
-	double u = dot(tvec, pvec) * invDet;
-	if (u < -1e-12 || u > 1.0 + 1e-12)
-		return false;
-
-	Vec3 qvec = cross(tvec, e1);
-	double v = dot(dir, qvec) * invDet;
-	if (v < -1e-12 || u + v > 1.0 + 1e-12)
-		return false;
-
-	double t = dot(e2, qvec) * invDet;
-	if (t < -1e-12 || t > 1.0 + 1e-12)
-		return false;
-	tOut = t;
-	return true;
-}
-
-static inline bool pointInTriangle3D(const Vec3 &p, const Vec3 &a, const Vec3 &b, const Vec3 &c) {
-	Vec3 n = cross(b - a, c - a);
-	Vec3 n0 = cross(b - a, p - a);
-	Vec3 n1 = cross(c - b, p - b);
-	Vec3 n2 = cross(a - c, p - c);
-	if (dot(n, n0) < -1e-12)
-		return false;
-	if (dot(n, n1) < -1e-12)
-		return false;
-	if (dot(n, n2) < -1e-12)
-		return false;
-	return true;
-}
-
-static inline bool triTriIntersect3D(const Vec3 &a0, const Vec3 &b0, const Vec3 &c0,
-	const Vec3 &a1, const Vec3 &b1, const Vec3 &c1) {
-	Vec3 mn0, mx0, mn1, mx1;
-	triAABB(a0, b0, c0, mn0, mx0);
-	triAABB(a1, b1, c1, mn1, mx1);
-	if (!aabbOverlap(mn0, mx0, mn1, mx1))
-		return false;
-
-	Plane p0 = planeFromTriangle(a0, b0, c0);
-	Plane p1 = planeFromTriangle(a1, b1, c1);
-
-	if (std::fabs(dot(p0.n, p1.n)) > 1.0 - 1e-7 && std::fabs(planeSignedDistance(p0, a1)) < 1e-7) {
-		Vec3 nn = p0.n;
-		int drop = 0;
-		double ax = std::fabs(nn.x), ay = std::fabs(nn.y), az = std::fabs(nn.z);
-		if (ay > ax && ay > az)
-			drop = 1;
-		else if (az > ax && az > ay)
-			drop = 2;
-
-		auto proj = [&](const Vec3 &v) -> Vec2 {
-			if (drop == 0)
-				return Vec2 { v.y, v.z };
-			if (drop == 1)
-				return Vec2 { v.x, v.z };
-			return Vec2 { v.x, v.y };
-		};
-
-		std::array<Vec2, 3> t0 { proj(a0), proj(b0), proj(c0) };
-		std::array<Vec2, 3> t1 { proj(a1), proj(b1), proj(c1) };
-		return triOverlap2D(t0, t1);
-	}
-
-	const Vec3 t0v[3] = { a0, b0, c0 };
-	const Vec3 t1v[3] = { a1, b1, c1 };
-	for (int i = 0; i < 3; i++) {
-		double t = 0;
-		if (segmentTriangleIntersect(t0v[i], t0v[(i + 1) % 3], a1, b1, c1, t))
-			return true;
-		if (segmentTriangleIntersect(t1v[i], t1v[(i + 1) % 3], a0, b0, c0, t))
-			return true;
-	}
-
-	if (pointInTriangle3D(a0, a1, b1, c1))
-		return true;
-	if (pointInTriangle3D(a1, a0, b0, c0))
-		return true;
-	return false;
-}
-
-struct Image {
-	int w = 0, h = 0;
-	std::vector<Vec3> pix;
-
-	Image(int ww, int hh) : w(ww), h(hh), pix((size_t)ww * (size_t)hh, Vec3 { 0, 0, 0 }) {
-	}
-
-	void blendOver(int x, int y, const Vec3 &src, double alpha) {
-		if (x < 0 || x >= w || y < 0 || y >= h)
-			return;
-		alpha = clamp01(alpha);
-		Vec3 dst = pix[(size_t)y * (size_t)w + (size_t)x];
-		Vec3 out = dst * (1.0 - alpha) + src * alpha;
-		pix[(size_t)y * (size_t)w + (size_t)x] = out;
-	}
-
-	void add(int x, int y, const Vec3 &src) {
-		if (x < 0 || x >= w || y < 0 || y >= h)
-			return;
-		Vec3 dst = pix[(size_t)y * (size_t)w + (size_t)x];
-		pix[(size_t)y * (size_t)w + (size_t)x] = Vec3 { dst.x + src.x, dst.y + src.y, dst.z + src.z };
-	}
-
-	void writePPM(const std::string &path) const {
-		std::ofstream out(path, std::ios::binary);
-		if (!out) {
-			std::cerr << "Failed to open output file: " << path << "\n";
-			return;
-		}
-		out << "P6\n"
-			<< w << " " << h << "\n255\n";
-		for (int y = 0; y < h; y++) {
-			for (int x = 0; x < w; x++) {
-				Vec3 c = pix[(size_t)y * (size_t)w + (size_t)x];
-				c.x = clamp01(c.x);
-				c.y = clamp01(c.y);
-				c.z = clamp01(c.z);
-				auto toByte = [](double v) -> unsigned char {
-					v = std::pow(clamp01(v), 1.0 / 2.2);
-					int iv = (int)std::lround(v * 255.0);
-					return (unsigned char)clampi(iv, 0, 255);
-				};
-				unsigned char rgb[3] = { toByte(c.x), toByte(c.y), toByte(c.z) };
-				out.write((char *)rgb, 3);
-			}
-		}
-	}
-};
-
-enum class MaterialType {
-	Curtain,
-	Diffuse,
-	Metal
-};
-
-struct Triangle {
-	int id = -1;
-	std::string name;
-
-	Vec3 p[3];
-	Vec2 uv[3];
-
-	MaterialType mat = MaterialType::Diffuse;
-	Vec3 baseColor { 1, 1, 1 };
-
-	Vec3 normal() const {
-		return normalize(cross(p[1] - p[0], p[2] - p[0]));
-	}
-	Vec3 centroid() const {
-		return (p[0] + p[1] + p[2]) / 3.0;
-	}
-};
-
-struct ProjectedVertex {
-	bool ok = false;
-	Vec3 onPlane;
-	double t = 0.0;
-};
-
-static inline ProjectedVertex projectPointToPlaneAlongOrigin(const Vec3 &origin, const Vec3 &v, const Plane &plane) {
-	Vec3 dir = v - origin;
-	double denom = dot(plane.n, dir);
-	if (std::fabs(denom) < 1e-12)
-		return ProjectedVertex { false, Vec3 {}, 0 };
-	double t = -(dot(plane.n, origin) + plane.d) / denom;
-	if (t <= 1e-9)
-		return ProjectedVertex { false, Vec3 {}, t };
-	Vec3 p = origin + dir * t;
-	return ProjectedVertex { true, p, t };
-}
-
-// 显式的“当前 viewport 在最终图片中的范围”
-// 用屏幕UV三角形表达（更贴合你描述的“两个三角形幕布”与递归中“面片->面片”的映射）
-using ScreenTri = std::array<Vec2, 3>;
-
-static inline bool pointInScreenTri(const ScreenTri &tri, const Vec2 &uv) {
-	return pointInTri2D(uv, tri[0], tri[1], tri[2]);
-}
-
-static inline Vec2 uvFromPixelCenter(int x, int y, int w, int h) {
-	double u = ((double)x + 0.5) / (double)w;
-	double v = 1.0 - (((double)y + 0.5) / (double)h);
-	return Vec2 { u, v };
-}
-
-static inline std::array<Vec2, 3> projectedTriangleToViewport2D(const Basis2DOnPlane &basis,
-	const std::array<Vec3, 3> &proj) {
-	return { to2D(basis, proj[0]), to2D(basis, proj[1]), to2D(basis, proj[2]) };
-}
-
-static inline std::array<Vec2, 3> viewportTriangleTo2D(const Basis2DOnPlane &basis, const Triangle &viewport) {
-	return {
-		to2D(basis, viewport.p[0]),
-		to2D(basis, viewport.p[1]),
-		to2D(basis, viewport.p[2]),
-	};
-}
-
-static inline bool projectTriangleToViewport(const Triangle &tri,
-	const Vec3 &origin,
-	const Triangle &viewport,
-	const Basis2DOnPlane &viewportBasis,
-	const ScreenTri &viewportRegion,
-	std::array<Vec3, 3> &projOnViewportPlane,
-	ScreenTri &triScreenUV) {
-	Plane plane = planeFromTriangle(viewport.p[0], viewport.p[1], viewport.p[2]);
-
-	ProjectedVertex pv[3];
-	for (int i = 0; i < 3; i++) {
-		pv[i] = projectPointToPlaneAlongOrigin(origin, tri.p[i], plane);
-		if (!pv[i].ok)
-			return false;
-		projOnViewportPlane[i] = pv[i].onPlane;
-	}
-
-	auto proj2D = projectedTriangleToViewport2D(viewportBasis, projOnViewportPlane);
-	auto vp2D = viewportTriangleTo2D(viewportBasis, viewport);
-	if (!triOverlap2D(proj2D, vp2D))
-		return false;
-
-	// 用 viewport 顶点 <-> viewportRegion 的三点对应，建立“viewport平面 -> 屏幕UV”的仿射映射
-	Vec2 A2 = vp2D[0], B2 = vp2D[1], C2 = vp2D[2];
-	for (int i = 0; i < 3; i++) {
-		Vec3 bc = barycentric2D(proj2D[i], A2, B2, C2);
-		Vec2 uv = viewportRegion[0] * bc.x + viewportRegion[1] * bc.y + viewportRegion[2] * bc.z;
-		triScreenUV[i] = uv;
-	}
-	return true;
-}
-
-static inline double triAreaPixels(const ScreenTri &screenUV, int w, int h) {
-	Vec2 a = Vec2 { screenUV[0].x * w, screenUV[0].y * h };
-	Vec2 b = Vec2 { screenUV[1].x * w, screenUV[1].y * h };
-	Vec2 c = Vec2 { screenUV[2].x * w, screenUV[2].y * h };
-	double area2 = std::fabs(cross2(b - a, c - a));
-	return area2 * 0.5;
-}
-
-static inline Vec3 sampleProceduralTexture(const Triangle &tri, const Vec2 &uv) {
-	double u = uv.x, v = uv.y;
-	double s = 10.0;
-	int iu = (int)std::floor(u * s);
-	int iv = (int)std::floor(v * s);
-	bool checker = ((iu + iv) & 1) == 0;
-
-	Vec3 base = tri.baseColor;
-	if (tri.mat == MaterialType::Metal) {
-		double stripe = 0.6 + 0.4 * std::sin((u * 40.0 + v * 15.0) * 3.14159);
-		base = base * stripe;
-	} else {
-		double k = checker ? 1.0 : 0.85;
-		base = base * k;
-	}
-	return base;
-}
-
-static inline Vec3 shadeLambert(const Vec3 &color, const Vec3 &n) {
-	Vec3 lightDir = normalize(Vec3 { -0.35, 0.85, 0.25 });
-	double ndl = std::max(0.0, dot(n, lightDir));
-	double amb = 0.20;
-	double diff = 0.90 * ndl;
-	return color * (amb + diff);
-}
-
-static inline void rasterizeTriangleToImage(Image &img,
-	const ScreenTri &triScreenUV,
-	const Triangle &tri,
-	const ScreenTri &viewportRegion,
-	const Vec3 &throughput,
-	double alpha,
-	bool additive) {
-	// 强制只写入 viewportRegion 覆盖的屏幕区域
-	// triScreenUV 是“当前 tri 投影到当前 viewport 后，再映射到最终屏幕”的三角形
-
-	double minU = std::min({ triScreenUV[0].x, triScreenUV[1].x, triScreenUV[2].x });
-	double maxU = std::max({ triScreenUV[0].x, triScreenUV[1].x, triScreenUV[2].x });
-	double minV = std::min({ triScreenUV[0].y, triScreenUV[1].y, triScreenUV[2].y });
-	double maxV = std::max({ triScreenUV[0].y, triScreenUV[1].y, triScreenUV[2].y });
-
-	int x0 = clampi((int)std::floor(minU * img.w) - 1, 0, img.w - 1);
-	int x1 = clampi((int)std::ceil(maxU * img.w) + 1, 0, img.w - 1);
-	int y0 = clampi((int)std::floor((1.0 - maxV) * img.h) - 1, 0, img.h - 1);
-	int y1 = clampi((int)std::ceil((1.0 - minV) * img.h) + 1, 0, img.h - 1);
-
-	Vec2 a = triScreenUV[0], b = triScreenUV[1], c = triScreenUV[2];
-	Vec3 n = tri.normal();
-
-	for (int y = y0; y <= y1; y++) {
-		for (int x = x0; x <= x1; x++) {
-			Vec2 suv = uvFromPixelCenter(x, y, img.w, img.h);
-
-			// 关键：限制写入区域为当前 viewportRegion
-			if (!pointInScreenTri(viewportRegion, suv))
-				continue;
-
-			Vec3 bc = barycentric2D(suv, a, b, c);
-			if (bc.x < -1e-12 || bc.y < -1e-12 || bc.z < -1e-12)
-				continue;
-
-			Vec2 uv = tri.uv[0] * bc.x + tri.uv[1] * bc.y + tri.uv[2] * bc.z;
-
-			Vec3 tex = sampleProceduralTexture(tri, uv);
-			Vec3 lit = shadeLambert(tex, n);
-			Vec3 src = Vec3 { lit.x * throughput.x, lit.y * throughput.y, lit.z * throughput.z };
-
-			if (additive)
-				img.add(x, y, src * alpha);
-			else
-				img.blendOver(x, y, src, alpha);
-		}
-	}
-}
-
-struct RenderConfig {
-	int maxDepth = 3;
-	double minAreaPixels = 3.0;
-};
-
-static void renderViewport(const std::vector<Triangle> &scene,
-	const Vec3 &origin,
-	const Triangle &viewport,
-	const Basis2DOnPlane &viewportBasis,
-	const ScreenTri &viewportRegion,
-	Image &out,
-	const RenderConfig &cfg,
-	int depth,
-	const Vec3 &throughput,
-	int excludeId);
-
-static inline double fresnelSchlick(double cosTheta, double f0) {
-	cosTheta = clamp01(cosTheta);
-	return f0 + (1.0 - f0) * std::pow(1.0 - cosTheta, 5.0);
-}
-
-static void renderTriangleWithTriangle(const std::vector<Triangle> &scene,
-	const Vec3 &origin,
-	const Triangle &viewport,
-	const Basis2DOnPlane &viewportBasis,
-	const ScreenTri &viewportRegion,
-	const Triangle &tri,
-	Image &out,
-	const RenderConfig &cfg,
-	int depth,
-	const Vec3 &throughput,
-	int excludeId) {
-	if (tri.id == excludeId)
-		return;
-	if (tri.mat == MaterialType::Curtain)
-		return;
-
-	std::array<Vec3, 3> projOnPlane {};
-	ScreenTri triScreenUV {};
-	if (!projectTriangleToViewport(tri, origin, viewport, viewportBasis, viewportRegion, projOnPlane, triScreenUV))
-		return;
-
-	double areaPix = triAreaPixels(triScreenUV, out.w, out.h);
-	if (areaPix < 0.25)
-		return;
-
-	if (tri.mat == MaterialType::Diffuse) {
-		// 漫反射：直接贴到最终屏幕，但写入范围必须受 viewportRegion 限制（已在 rasterize 内处理）
-		rasterizeTriangleToImage(out, triScreenUV, tri, viewportRegion, throughput, 1.0, false);
-		return;
-	}
-
-	if (tri.mat == MaterialType::Metal) {
-		// 金属：先贴自身底色，再递归把反射结果“写到它在最终屏幕上的 triScreenUV 区域里”
-		Vec3 n = tri.normal();
-		Vec3 viewDir = normalize(origin - tri.centroid());
-		double cosTheta = std::fabs(dot(n, viewDir));
-		double reflectK = 0.75;
-		double f0 = 0.90;
-		double F = fresnelSchlick(cosTheta, f0);
-		double refl = clamp01(reflectK * F);
-
-		rasterizeTriangleToImage(out, triScreenUV, tri, viewportRegion, throughput, 1.0, false);
-
-		if (depth >= cfg.maxDepth)
-			return;
-		if (areaPix < cfg.minAreaPixels)
-			return;
-
-		Plane triPlane = planeFromTriangle(tri.p[0], tri.p[1], tri.p[2]);
-		Vec3 reflectedOrigin = reflectPointAcrossPlane(origin, triPlane);
-
-		// 关键：下一级 viewport 就是 tri（世界空间），而它在最终图片中的区域就是 triScreenUV
-		const Triangle &childViewport = tri;
-		Basis2DOnPlane childBasis = makePlaneBasis(childViewport.p[0], childViewport.p[1], childViewport.p[2]);
-		ScreenTri childRegion = triScreenUV;
-
-		Vec3 throughputChild = Vec3 { throughput.x * refl, throughput.y * refl, throughput.z * refl };
-
-		renderViewport(scene, reflectedOrigin, childViewport, childBasis, childRegion, out, cfg, depth + 1, throughputChild, tri.id);
-		return;
-	}
-}
-
-static void renderViewport(const std::vector<Triangle> &scene,
-	const Vec3 &origin,
-	const Triangle &viewport,
-	const Basis2DOnPlane &viewportBasis,
-	const ScreenTri &viewportRegion,
-	Image &out,
-	const RenderConfig &cfg,
-	int depth,
-	const Vec3 &throughput,
-	int excludeId) {
-	struct Cand {
-		const Triangle *t;
-		double dist2;
-	};
-	std::vector<Cand> cands;
-	cands.reserve(scene.size());
-
-	for (const Triangle &tri : scene) {
-		if (tri.id == excludeId)
-			continue;
-		if (tri.mat == MaterialType::Curtain)
-			continue;
-
-		std::array<Vec3, 3> projOnPlane {};
-		ScreenTri triScreenUV {};
-		if (!projectTriangleToViewport(tri, origin, viewport, viewportBasis, viewportRegion, projOnPlane, triScreenUV))
-			continue;
-
-		Vec3 c = tri.centroid();
-		Vec3 d = c - origin;
-		double dist2 = dot(d, d);
-		cands.push_back(Cand { &tri, dist2 });
-	}
-
-	std::sort(cands.begin(), cands.end(), [](const Cand &a, const Cand &b) {
-		return a.dist2 > b.dist2;
-	});
-
-	for (const Cand &c : cands) {
-		renderTriangleWithTriangle(scene, origin, viewport, viewportBasis, viewportRegion, *c.t, out, cfg, depth, throughput, excludeId);
-	}
-}
-
-struct Camera {
-	Vec3 origin;
-	Triangle curtainA;
-	Triangle curtainB;
-
-	void render(const std::vector<Triangle> &scene, Image &out) const {
-		RenderConfig cfg;
-		cfg.maxDepth = 3;
-		cfg.minAreaPixels = 3.0;
-
-		// Curtain A：viewportRegion 就是它本身的 uv（三角形覆盖屏幕的一半）
-		{
-			const Triangle &viewport = curtainA;
-			Basis2DOnPlane basis = makePlaneBasis(viewport.p[0], viewport.p[1], viewport.p[2]);
-			ScreenTri region = { viewport.uv[0], viewport.uv[1], viewport.uv[2] };
-			renderViewport(scene, origin, viewport, basis, region, out, cfg, 0, Vec3 { 1, 1, 1 }, -1);
-		}
-
-		// Curtain B
-		{
-			const Triangle &viewport = curtainB;
-			Basis2DOnPlane basis = makePlaneBasis(viewport.p[0], viewport.p[1], viewport.p[2]);
-			ScreenTri region = { viewport.uv[0], viewport.uv[1], viewport.uv[2] };
-			renderViewport(scene, origin, viewport, basis, region, out, cfg, 0, Vec3 { 1, 1, 1 }, -1);
-		}
-	}
-};
-
-static inline Triangle makeTri(int id, const std::string &name,
-	const Vec3 &a, const Vec3 &b, const Vec3 &c,
-	const Vec2 &ua, const Vec2 &ub, const Vec2 &uc,
-	MaterialType mat, const Vec3 &color) {
-	Triangle t;
-	t.id = id;
-	t.name = name;
-	t.p[0] = a;
-	t.p[1] = b;
-	t.p[2] = c;
-	t.uv[0] = ua;
-	t.uv[1] = ub;
-	t.uv[2] = uc;
-	t.mat = mat;
-	t.baseColor = color;
-	return t;
-}
-
-static inline void addQuad(std::vector<Triangle> &out, int &nextId, const std::string &name,
-	const Vec3 &a, const Vec3 &b, const Vec3 &c, const Vec3 &d,
-	const Vec2 &ua, const Vec2 &ub, const Vec2 &uc, const Vec2 &ud,
-	MaterialType mat, const Vec3 &color) {
-	out.push_back(makeTri(nextId++, name + "_t0", a, b, c, ua, ub, uc, mat, color));
-	out.push_back(makeTri(nextId++, name + "_t1", a, c, d, ua, uc, ud, mat, color));
-}
-
-static inline void addBox(std::vector<Triangle> &out, int &nextId, const std::string &name,
-	const Vec3 &mn, const Vec3 &mx,
-	MaterialType mat, const Vec3 &color) {
-	Vec3 p000 { mn.x, mn.y, mn.z };
-	Vec3 p001 { mn.x, mn.y, mx.z };
-	Vec3 p010 { mn.x, mx.y, mn.z };
-	Vec3 p011 { mn.x, mx.y, mx.z };
-	Vec3 p100 { mx.x, mn.y, mn.z };
-	Vec3 p101 { mx.x, mn.y, mx.z };
-	Vec3 p110 { mx.x, mx.y, mn.z };
-	Vec3 p111 { mx.x, mx.y, mx.z };
-
-	Vec2 uv00 { 0, 0 }, uv10 { 1, 0 }, uv11 { 1, 1 }, uv01 { 0, 1 };
-
-	addQuad(out, nextId, name + "_front", p001, p101, p111, p011, uv00, uv10, uv11, uv01, mat, color);
-	addQuad(out, nextId, name + "_back", p100, p000, p010, p110, uv00, uv10, uv11, uv01, mat, color);
-	addQuad(out, nextId, name + "_left", p000, p001, p011, p010, uv00, uv10, uv11, uv01, mat, color);
-	addQuad(out, nextId, name + "_right", p101, p100, p110, p111, uv00, uv10, uv11, uv01, mat, color);
-	addQuad(out, nextId, name + "_top", p010, p011, p111, p110, uv00, uv10, uv11, uv01, mat, color);
-	addQuad(out, nextId, name + "_bottom", p000, p100, p101, p001, uv00, uv10, uv11, uv01, mat, color);
-}
-
-static std::vector<Triangle> buildCornellScene() {
-	std::vector<Triangle> scene;
-	int nextId = 0;
-
-	Vec3 mn { -1, -1, 0 };
-	Vec3 mx { 1, 1, 2 };
-
-	Vec2 uv00 { 0, 0 }, uv10 { 1, 0 }, uv11 { 1, 1 }, uv01 { 0, 1 };
-
-	addQuad(scene, nextId, "wall_back",
-		Vec3 { mn.x, mn.y, mn.z }, Vec3 { mx.x, mn.y, mn.z }, Vec3 { mx.x, mx.y, mn.z }, Vec3 { mn.x, mx.y, mn.z },
-		uv00, uv10, uv11, uv01, MaterialType::Diffuse, Vec3 { 0.95, 0.95, 0.95 });
-
-	addQuad(scene, nextId, "wall_left",
-		Vec3 { mn.x, mn.y, mx.z }, Vec3 { mn.x, mn.y, mn.z }, Vec3 { mn.x, mx.y, mn.z }, Vec3 { mn.x, mx.y, mx.z },
-		uv00, uv10, uv11, uv01, MaterialType::Diffuse, Vec3 { 0.90, 0.25, 0.25 });
-
-	addQuad(scene, nextId, "wall_right",
-		Vec3 { mx.x, mn.y, mn.z }, Vec3 { mx.x, mn.y, mx.z }, Vec3 { mx.x, mx.y, mx.z }, Vec3 { mx.x, mx.y, mn.z },
-		uv00, uv10, uv11, uv01, MaterialType::Diffuse, Vec3 { 0.25, 0.90, 0.25 });
-
-	addQuad(scene, nextId, "floor",
-		Vec3 { mn.x, mn.y, mx.z }, Vec3 { mx.x, mn.y, mx.z }, Vec3 { mx.x, mn.y, mn.z }, Vec3 { mn.x, mn.y, mn.z },
-		uv00, uv10, uv11, uv01, MaterialType::Diffuse, Vec3 { 0.95, 0.95, 0.95 });
-
-	addQuad(scene, nextId, "ceiling",
-		Vec3 { mn.x, mx.y, mn.z }, Vec3 { mx.x, mx.y, mn.z }, Vec3 { mx.x, mx.y, mx.z }, Vec3 { mn.x, mx.y, mx.z },
-		uv00, uv10, uv11, uv01, MaterialType::Diffuse, Vec3 { 0.95, 0.95, 0.95 });
-
-	// 蓝金属盒
-	{
-		Vec3 bmn { -0.75, -1.0, 0.75 };
-		Vec3 bmx { -0.15, -0.40, 1.35 };
-		addBox(scene, nextId, "box_blue_metal", bmn, bmx, MaterialType::Metal, Vec3 { 0.20, 0.40, 0.95 });
-	}
-
-	// 黄金属盒
-	{
-		Vec3 ymn { 0.15, -1.0, 1.10 };
-		Vec3 ymx { 0.70, -0.20, 1.70 };
-		addBox(scene, nextId, "box_yellow_metal", ymn, ymx, MaterialType::Metal, Vec3 { 0.95, 0.85, 0.20 });
-	}
-
-	// 小漫反射柱（辅助反射观感）
-	{
-		Vec3 dmn { -0.10, -1.0, 1.55 };
-		Vec3 dmx { 0.10, -0.70, 1.75 };
-		addBox(scene, nextId, "diffuse_pillar", dmn, dmx, MaterialType::Diffuse, Vec3 { 0.85, 0.85, 0.90 });
-	}
-
-	return scene;
-}
-
-int main() {
-	const int W = 800;
-	const int H = 800;
-
-	Image img(W, H);
-
-	Camera cam;
-	cam.origin = Vec3 { 0.0, 0.0, 3.0 };
-
-	// Curtain（两个三角形）
-	Vec3 s0 { -1.1, -1.1, 2.5 };
-	Vec3 s1 { 1.1, -1.1, 2.5 };
-	Vec3 s2 { 1.1, 1.1, 2.5 };
-	Vec3 s3 { -1.1, 1.1, 2.5 };
-
-	cam.curtainA = makeTri(-100, "curtainA",
-		s0, s1, s2,
-		Vec2 { 0, 0 }, Vec2 { 1, 0 }, Vec2 { 1, 1 },
-		MaterialType::Curtain, Vec3 { 0, 0, 0 });
-	cam.curtainB = makeTri(-101, "curtainB",
-		s0, s2, s3,
-		Vec2 { 0, 0 }, Vec2 { 1, 1 }, Vec2 { 0, 1 },
-		MaterialType::Curtain, Vec3 { 0, 0, 0 });
-
-	auto scene = buildCornellScene();
-
-	// 只是证明 tri-tri 相交存在，不影响渲染
-	if (scene.size() >= 2) {
-		(void)triTriIntersect3D(scene[0].p[0], scene[0].p[1], scene[0].p[2],
-			scene[1].p[0], scene[1].p[1], scene[1].p[2]);
-	}
-
-	cam.render(scene, img);
-	img.writePPM("out.ppm");
-
-	std::cout << "Wrote out.ppm (" << W << "x" << H << ")\n";
-	return 0;
-}

experiments/rt6.cpp

@@ -1,918 +0,0 @@
-// main.cpp
-#include <algorithm>
-#include <array>
-#include <cassert>
-#include <cmath>
-#include <cstdint>
-#include <fstream>
-#include <iostream>
-#include <limits>
-#include <optional>
-#include <string>
-#include <utility>
-#include <vector>
-
-static constexpr double kEps = 1e-9;
-
-struct Vec2 {
-  double x = 0, y = 0;
-  Vec2() = default;
-  Vec2(double x_, double y_) : x(x_), y(y_) {}
-  Vec2 operator+(const Vec2& o) const { return {x + o.x, y + o.y}; }
-  Vec2 operator-(const Vec2& o) const { return {x - o.x, y - o.y}; }
-  Vec2 operator*(double s) const { return {x * s, y * s}; }
-};
-
-static inline double cross2(const Vec2& a, const Vec2& b) { return a.x * b.y - a.y * b.x; }
-
-struct Vec3 {
-  double x = 0, y = 0, z = 0;
-  Vec3() = default;
-  Vec3(double x_, double y_, double z_) : x(x_), y(y_), z(z_) {}
-  Vec3 operator+(const Vec3& o) const { return {x + o.x, y + o.y, z + o.z}; }
-  Vec3 operator-(const Vec3& o) const { return {x - o.x, y - o.y, z - o.z}; }
-  Vec3 operator*(double s) const { return {x * s, y * s, z * s}; }
-  Vec3 operator/(double s) const { return {x / s, y / s, z / s}; }
-};
-
-static inline double dot(const Vec3& a, const Vec3& b) { return a.x * b.x + a.y * b.y + a.z * b.z; }
-
-static inline Vec3 cross(const Vec3& a, const Vec3& b) {
-  return {a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x};
-}
-
-static inline double norm2(const Vec3& v) { return dot(v, v); }
-static inline double norm(const Vec3& v) { return std::sqrt(norm2(v)); }
-
-static inline Vec3 normalize(const Vec3& v) {
-  const double n = norm(v);
-  if (n < kEps) return v;
-  return v / n;
-}
-
-struct Color {
-  double r = 0, g = 0, b = 0;
-  Color() = default;
-  Color(double r_, double g_, double b_) : r(r_), g(g_), b(b_) {}
-  Color operator+(const Color& o) const { return {r + o.r, g + o.g, b + o.b}; }
-  Color operator*(double s) const { return {r * s, g * s, b * s}; }
-  Color operator*(const Color& o) const { return {r * o.r, g * o.g, b * o.b}; }
-};
-
-static inline Color clamp01(const Color& c) {
-  auto cl = [](double v) { return std::max(0.0, std::min(1.0, v)); };
-  return {cl(c.r), cl(c.g), cl(c.b)};
-}
-
-struct Plane {
-  Vec3 n; // normalized
-  double d = 0; // n·X + d = 0
-
-  double sd(const Vec3& p) const { return dot(n, p) + d; }
-};
-
-static inline Plane planeFromPointNormal(const Vec3& p, const Vec3& n_unit) {
-  Plane pl;
-  pl.n = n_unit;
-  pl.d = -dot(pl.n, p);
-  return pl;
-}
-
-static inline Plane planeThrough3(const Vec3& a, const Vec3& b, const Vec3& c) {
-  Vec3 n = normalize(cross(b - a, c - a));
-  return planeFromPointNormal(a, n);
-}
-
-struct Mat3 {
-  double m[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
-
-  static Mat3 identity() {
-    Mat3 I;
-    I.m[0][0] = I.m[1][1] = I.m[2][2] = 1;
-    return I;
-  }
-};
-
-static inline Mat3 mul(const Mat3& A, const Mat3& B) {
-  Mat3 C;
-  for (int i = 0; i < 3; ++i) {
-    for (int j = 0; j < 3; ++j) {
-      double s = 0;
-      for (int k = 0; k < 3; ++k) s += A.m[i][k] * B.m[k][j];
-      C.m[i][j] = s;
-    }
-  }
-  return C;
-}
-
-static inline Vec3 mul_h(const Mat3& H, const Vec3& p) {
-  Vec3 r;
-  r.x = H.m[0][0] * p.x + H.m[0][1] * p.y + H.m[0][2] * p.z;
-  r.y = H.m[1][0] * p.x + H.m[1][1] * p.y + H.m[1][2] * p.z;
-  r.z = H.m[2][0] * p.x + H.m[2][1] * p.y + H.m[2][2] * p.z;
-  return r;
-}
-
-static inline bool invertMat3(const Mat3& A, Mat3& invOut) {
-  const double a00 = A.m[0][0], a01 = A.m[0][1], a02 = A.m[0][2];
-  const double a10 = A.m[1][0], a11 = A.m[1][1], a12 = A.m[1][2];
-  const double a20 = A.m[2][0], a21 = A.m[2][1], a22 = A.m[2][2];
-
-  const double c00 = a11 * a22 - a12 * a21;
-  const double c01 = -(a10 * a22 - a12 * a20);
-  const double c02 = a10 * a21 - a11 * a20;
-
-  const double c10 = -(a01 * a22 - a02 * a21);
-  const double c11 = a00 * a22 - a02 * a20;
-  const double c12 = -(a00 * a21 - a01 * a20);
-
-  const double c20 = a01 * a12 - a02 * a11;
-  const double c21 = -(a00 * a12 - a02 * a10);
-  const double c22 = a00 * a11 - a01 * a10;
-
-  const double det = a00 * c00 + a01 * c01 + a02 * c02;
-  if (std::abs(det) < 1e-18) return false;
-  const double invDet = 1.0 / det;
-
-  invOut.m[0][0] = c00 * invDet;
-  invOut.m[0][1] = c10 * invDet;
-  invOut.m[0][2] = c20 * invDet;
-
-  invOut.m[1][0] = c01 * invDet;
-  invOut.m[1][1] = c11 * invDet;
-  invOut.m[1][2] = c21 * invDet;
-
-  invOut.m[2][0] = c02 * invDet;
-  invOut.m[2][1] = c12 * invDet;
-  invOut.m[2][2] = c22 * invDet;
-  return true;
-}
-
-// Solve 8x8 linear system via Gaussian elimination (small, fixed size)
-static inline bool solve8(double A[8][8], double b[8], double x[8]) {
-  for (int col = 0; col < 8; ++col) {
-    int piv = col;
-    double best = std::abs(A[col][col]);
-    for (int r = col + 1; r < 8; ++r) {
-      double v = std::abs(A[r][col]);
-      if (v > best) { best = v; piv = r; }
-    }
-    if (best < 1e-18) return false;
-    if (piv != col) {
-      for (int c = col; c < 8; ++c) std::swap(A[piv][c], A[col][c]);
-      std::swap(b[piv], b[col]);
-    }
-    const double diag = A[col][col];
-    for (int c = col; c < 8; ++c) A[col][c] /= diag;
-    b[col] /= diag;
-
-    for (int r = 0; r < 8; ++r) {
-      if (r == col) continue;
-      const double f = A[r][col];
-      if (std::abs(f) < 1e-18) continue;
-      for (int c = col; c < 8; ++c) A[r][c] -= f * A[col][c];
-      b[r] -= f * b[col];
-    }
-  }
-  for (int i = 0; i < 8; ++i) x[i] = b[i];
-  return true;
-}
-
-// Homography from 4 point correspondences: (x,y)->(u,v), with h33=1
-static inline bool homography4pt(const std::array<Vec2, 4>& src, const std::array<Vec2, 4>& dst, Mat3& H, Mat3& Hinv) {
-  double A[8][8];
-  double b[8];
-  for (int i = 0; i < 8; ++i) {
-    b[i] = 0;
-    for (int j = 0; j < 8; ++j) A[i][j] = 0;
-  }
-
-  for (int i = 0; i < 4; ++i) {
-    const double x = src[i].x, y = src[i].y;
-    const double u = dst[i].x, v = dst[i].y;
-
-    // row for u
-    A[2 * i + 0][0] = x;
-    A[2 * i + 0][1] = y;
-    A[2 * i + 0][2] = 1;
-    A[2 * i + 0][6] = -u * x;
-    A[2 * i + 0][7] = -u * y;
-    b[2 * i + 0] = u;
-
-    // row for v
-    A[2 * i + 1][3] = x;
-    A[2 * i + 1][4] = y;
-    A[2 * i + 1][5] = 1;
-    A[2 * i + 1][6] = -v * x;
-    A[2 * i + 1][7] = -v * y;
-    b[2 * i + 1] = v;
-  }
-
-  double xsol[8];
-  if (!solve8(A, b, xsol)) return false;
-
-  // fill H with h33=1
-  H = Mat3::identity();
-  H.m[0][0] = xsol[0]; H.m[0][1] = xsol[1]; H.m[0][2] = xsol[2];
-  H.m[1][0] = xsol[3]; H.m[1][1] = xsol[4]; H.m[1][2] = xsol[5];
-  H.m[2][0] = xsol[6]; H.m[2][1] = xsol[7]; H.m[2][2] = 1;
-
-  if (!invertMat3(H, Hinv)) return false;
-  return true;
-}
-
-enum class MaterialType { Curtain, Diffuse, Metal };
-
-struct Material {
-  MaterialType type = MaterialType::Diffuse;
-  Color albedo = {1, 1, 1};      // Diffuse base or Metal reflectance
-  double roughness = 0.0;        // unused in ideal mirror
-};
-
-struct Triangle {
-  Vec3 p0, p1, p2;
-  Material mat;
-
-  Plane plane() const { return planeThrough3(p0, p1, p2); }
-
-  Vec3 normalUnit() const { return normalize(cross(p1 - p0, p2 - p0)); }
-
-  Vec3 pointFromUV(const Vec2& uv) const { return p0 + (p1 - p0) * uv.x + (p2 - p0) * uv.y; }
-
-  // Solve X = p0 + u*(p1-p0) + v*(p2-p0) in least-square on plane basis via Gram 2x2.
-  Vec2 uvFromPoint(const Vec3& X) const {
-    const Vec3 e1 = p1 - p0;
-    const Vec3 e2 = p2 - p0;
-    const Vec3 w = X - p0;
-
-    const double a = dot(e1, e1);
-    const double b = dot(e1, e2);
-    const double c = dot(e2, e2);
-    const double d = dot(e1, w);
-    const double e = dot(e2, w);
-
-    const double det = a * c - b * b;
-    if (std::abs(det) < 1e-18) return {0, 0};
-    const double invDet = 1.0 / det;
-    const double u = (d * c - b * e) * invDet;
-    const double v = (a * e - b * d) * invDet;
-    return {u, v};
-  }
-
-  bool containsUV(const Vec2& uv) const {
-    return uv.x >= -1e-9 && uv.y >= -1e-9 && (uv.x + uv.y) <= 1.0 + 1e-9;
-  }
-};
-
-struct Image {
-  int w = 0, h = 0;
-  std::vector<Color> color;
-  std::vector<double> z;
-
-  Image(int w_, int h_) : w(w_), h(h_), color(w_ * h_), z(w_ * h_, std::numeric_limits<double>::infinity()) {}
-
-  void clear(const Color& c) {
-    std::fill(color.begin(), color.end(), c);
-    std::fill(z.begin(), z.end(), std::numeric_limits<double>::infinity());
-  }
-
-  void setIfCloser(int x, int y, double depth, const Color& c) {
-    if (x < 0 || x >= w || y < 0 || y >= h) return;
-    const int idx = y * w + x;
-    if (depth < z[idx]) {
-      z[idx] = depth;
-      color[idx] = c;
-    }
-  }
-
-  void writePPM(const std::string& path) const {
-    std::ofstream f(path, std::ios::binary);
-    f << "P6\n" << w << " " << h << "\n255\n";
-    for (int i = 0; i < w * h; ++i) {
-      Color c = clamp01(color[i]);
-      uint8_t r = (uint8_t)std::lround(c.r * 255.0);
-      uint8_t g = (uint8_t)std::lround(c.g * 255.0);
-      uint8_t b = (uint8_t)std::lround(c.b * 255.0);
-      f.write((char*)&r, 1);
-      f.write((char*)&g, 1);
-      f.write((char*)&b, 1);
-    }
-  }
-};
-
-struct Frustum {
-  std::array<Plane, 5> planes; // 3 side + near + far(optional as large)
-  int count = 0;
-};
-
-static inline std::optional<Vec3> intersectRayPlane(const Vec3& E, const Vec3& dir_unit, const Plane& pl, double& tOut) {
-  const double denom = dot(pl.n, dir_unit);
-  if (std::abs(denom) < 1e-12) return std::nullopt;
-  const double t = -(dot(pl.n, E) + pl.d) / denom;
-  tOut = t;
-  return E + dir_unit * t;
-}
-
-static inline std::vector<Vec3> clipPolyAgainstPlane(const std::vector<Vec3>& poly, const Plane& pl) {
-  std::vector<Vec3> out;
-  if (poly.empty()) return out;
-  auto inside = [&](const Vec3& p) { return pl.sd(p) >= -1e-9; };
-
-  for (size_t i = 0; i < poly.size(); ++i) {
-    const Vec3 S = poly[i];
-    const Vec3 E = poly[(i + 1) % poly.size()];
-    const double ds = pl.sd(S);
-    const double de = pl.sd(E);
-    const bool inS = ds >= -1e-9;
-    const bool inE = de >= -1e-9;
-
-    if (inS && inE) {
-      out.push_back(E);
-    } else if (inS && !inE) {
-      const double t = ds / (ds - de);
-      out.push_back(S + (E - S) * t);
-    } else if (!inS && inE) {
-      const double t = ds / (ds - de);
-      out.push_back(S + (E - S) * t);
-      out.push_back(E);
-    }
-  }
-  return out;
-}
-
-static inline std::vector<Triangle> triangulateFan(const std::vector<Vec3>& poly, const Material& mat) {
-  std::vector<Triangle> tris;
-  if (poly.size() < 3) return tris;
-  for (size_t i = 1; i + 1 < poly.size(); ++i) {
-    Triangle t;
-    t.p0 = poly[0];
-    t.p1 = poly[i];
-    t.p2 = poly[i + 1];
-    t.mat = mat;
-    tris.push_back(t);
-  }
-  return tris;
-}
-
-static inline Frustum buildFrustum(const Vec3& E, const Triangle& Tv, double near_eps, std::optional<double> far_opt) {
-  Frustum fr;
-  fr.count = 0;
-
-  // Ensure Tv normal points away from eye along view direction
-  Vec3 nTv = Tv.normalUnit();
-  Vec3 cTv = (Tv.p0 + Tv.p1 + Tv.p2) / 3.0;
-  Vec3 viewDir = normalize(cTv - E);
-  if (dot(nTv, viewDir) < 0) nTv = nTv * -1.0;
-
-  // Side planes: each passes through E and an edge of Tv; inward means Tv's opposite vertex is inside.
-  auto addSide = [&](const Vec3& A, const Vec3& B, const Vec3& C_opp) {
-    Vec3 v0 = A - E;
-    Vec3 v1 = B - E;
-    Vec3 n = normalize(cross(v0, v1)); // orientation depends
-    Plane pl = planeFromPointNormal(E, n);
-    if (pl.sd(C_opp) < 0) {
-      pl.n = pl.n * -1.0;
-      pl.d = -pl.d;
-    }
-    fr.planes[fr.count++] = pl;
-  };
-  addSide(Tv.p0, Tv.p1, Tv.p2);
-  addSide(Tv.p1, Tv.p2, Tv.p0);
-  addSide(Tv.p2, Tv.p0, Tv.p1);
-
-  // Near plane: perpendicular to viewDir (use nTv) at E + nTv * near_eps
-  fr.planes[fr.count++] = planeFromPointNormal(E + nTv * near_eps, nTv);
-
-  // Far plane if provided: at E + nTv * far, normal facing back (-nTv) to keep inside between near/far
-  if (far_opt.has_value()) {
-    fr.planes[fr.count++] = planeFromPointNormal(E + nTv * (*far_opt), nTv * -1.0);
-  }
-  return fr;
-}
-
-static inline std::vector<Triangle> clipTriangleToFrustum(const Triangle& tri, const Frustum& fr) {
-  std::vector<Vec3> poly = {tri.p0, tri.p1, tri.p2};
-  for (int i = 0; i < fr.count; ++i) {
-    poly = clipPolyAgainstPlane(poly, fr.planes[i]);
-    if (poly.size() < 3) return {};
-  }
-  return triangulateFan(poly, tri.mat);
-}
-
-// 2D Sutherland–Hodgman: clip polygon P by triangle T (given in 2D)
-static inline std::vector<Vec2> clipPolyByTri2D(const std::vector<Vec2>& poly, const std::array<Vec2, 3>& tri) {
-  std::vector<Vec2> out = poly;
-  auto clipByEdge = [&](const Vec2& A, const Vec2& B, const Vec2& insideRef) {
-    std::vector<Vec2> res;
-    if (out.empty()) return res;
-
-    Vec2 e = B - A;
-    double sign = cross2(e, insideRef - A);
-    if (std::abs(sign) < 1e-18) sign = 1.0;
-
-    auto inside = [&](const Vec2& p) { return cross2(e, p - A) * sign >= -1e-9; };
-
-    for (size_t i = 0; i < out.size(); ++i) {
-      Vec2 S = out[i];
-      Vec2 E = out[(i + 1) % out.size()];
-      bool inS = inside(S);
-      bool inE = inside(E);
-
-      auto intersect = [&]() -> Vec2 {
-        Vec2 d = E - S;
-        double num = cross2(e, A - S);
-        double den = cross2(e, d);
-        if (std::abs(den) < 1e-18) return S;
-        double t = num / den;
-        return S + d * t;
-      };
-
-      if (inS && inE) {
-        res.push_back(E);
-      } else if (inS && !inE) {
-        res.push_back(intersect());
-      } else if (!inS && inE) {
-        res.push_back(intersect());
-        res.push_back(E);
-      }
-    }
-    return res;
-  };
-
-  // clip in order by each edge, using opposite vertex as inside reference
-  out = clipByEdge(tri[0], tri[1], tri[2]);
-  out = clipByEdge(tri[1], tri[2], tri[0]);
-  out = clipByEdge(tri[2], tri[0], tri[1]);
-  return out;
-}
-
-static inline double triArea2(const Vec2& a, const Vec2& b, const Vec2& c) {
-  return std::abs(cross2(b - a, c - a)) * 0.5;
-}
-
-static inline bool barycentric2D(const Vec2& p, const Vec2& a, const Vec2& b, const Vec2& c, double& w0, double& w1, double& w2) {
-  const Vec2 v0 = b - a;
-  const Vec2 v1 = c - a;
-  const Vec2 v2 = p - a;
-  const double den = cross2(v0, v1);
-  if (std::abs(den) < 1e-18) return false;
-  w1 = cross2(v2, v1) / den;
-  w2 = cross2(v0, v2) / den;
-  w0 = 1.0 - w1 - w2;
-  return true;
-}
-
-struct Screen {
-  // Root "curtain" is a rectangle in 3D: O + u*U + v*V, u,v in [0,1]
-  Vec3 O, U, V;
-  int W = 0, H = 0;
-
-  Vec3 pointFromUV01(const Vec2& uv01) const { return O + U * uv01.x + V * uv01.y; }
-
-  Vec2 uv01FromPixelCenter(int x, int y) const {
-    // y down
-    double u = (x + 0.5) / (double)W;
-    double v = (y + 0.5) / (double)H;
-    return {u, v};
-  }
-};
-
-struct DepthOverride {
-  Plane writePlane; // first mirror plane in root view
-  bool valid = false;
-};
-
-struct RenderConfig {
-  double near_eps = 1e-4;
-  std::optional<double> far = std::nullopt;
-  int L_max = 4;
-  double A_min_pixels = 2.0;
-};
-
-struct RenderContext {
-  const std::vector<Triangle>* scene = nullptr;
-  Image* img = nullptr;
-  Screen screen;
-  Vec3 rootEye;
-  RenderConfig cfg;
-};
-
-static inline Vec2 applyH(const Mat3& H, const Vec2& p) {
-  Vec3 hp = mul_h(H, Vec3{p.x, p.y, 1.0});
-  if (std::abs(hp.z) < 1e-18) return {hp.x, hp.y};
-  return {hp.x / hp.z, hp.y / hp.z};
-}
-
-static inline std::optional<std::pair<double, Vec3>> intersectRayTrianglePlane(const Vec3& E, const Vec3& dir_unit, const Triangle& tri) {
-  Plane pl = tri.plane();
-  double t = 0;
-  auto Xopt = intersectRayPlane(E, dir_unit, pl, t);
-  if (!Xopt.has_value()) return std::nullopt;
-  return std::make_pair(t, *Xopt);
-}
-
-static inline Vec3 reflectPointAboutPlane(const Vec3& P, const Plane& pl) {
-  // pl is normalized
-  const double s = pl.sd(P);
-  return P - pl.n * (2.0 * s);
-}
-
-static inline double estimateTrianglePixelArea(const Mat3& H_toRoot, const Triangle& Tv_local, const Screen& screen) {
-  // Tv_local canonical coords: (0,0),(1,0),(0,1)
-  Vec2 r0 = applyH(H_toRoot, Vec2{0, 0});
-  Vec2 r1 = applyH(H_toRoot, Vec2{1, 0});
-  Vec2 r2 = applyH(H_toRoot, Vec2{0, 1});
-  Vec2 p0 = {r0.x * screen.W, r0.y * screen.H};
-  Vec2 p1 = {r1.x * screen.W, r1.y * screen.H};
-  Vec2 p2 = {r2.x * screen.W, r2.y * screen.H};
-  return triArea2(p0, p1, p2);
-}
-
-static inline Color shadeDiffuseSimple(const Triangle& tri, const Vec3& X, const Vec3& dir_unit) {
-  Vec3 n = tri.normalUnit();
-  // Simple directional light + ambient
-  Vec3 L = normalize(Vec3{-0.3, -1.0, -0.2}); // light coming from above
-  double ndotl = std::max(0.0, dot(n, L * -1.0));
-  double ambient = 0.08;
-  double intensity = ambient + 0.92 * ndotl;
-
-  // optional: face-forward
-  if (dot(n, dir_unit) > 0) n = n * -1.0;
-
-  return tri.mat.albedo * intensity;
-}
-
-static void renderTriangleWithTriangle(
-    RenderContext& ctx,
-    const Vec3& E_cur,
-    const Triangle& Tv_local,
-    const Mat3& H_accum, const Mat3& H_accum_inv,
-    const Color& throughput,
-    const DepthOverride& depthOverride,
-    int depthLevel);
-
-// Diffuse branch: clip piece already in frustum, project to Tv plane, rasterize in root pixels
-static void renderDiffusePiece(
-    RenderContext& ctx,
-    const Vec3& E_cur,
-    const Triangle& Tv_local,
-    const Triangle& triPiece,
-    const Mat3& H_accum, const Mat3& H_accum_inv,
-    const Color& throughput,
-    const DepthOverride& depthOverride) {
-
-  // Project triPiece vertices to Tv plane via rays from E_cur
-  Plane tvPl = Tv_local.plane();
-  std::array<Vec2, 3> projUV;
-  std::array<Vec3, 3> projP;
-
-  std::array<Vec3, 3> V = {triPiece.p0, triPiece.p1, triPiece.p2};
-  for (int i = 0; i < 3; ++i) {
-    Vec3 dir = normalize(V[i] - E_cur);
-    double t = 0;
-    auto Xopt = intersectRayPlane(E_cur, dir, tvPl, t);
-    if (!Xopt.has_value() || t <= ctx.cfg.near_eps) return;
-    projP[i] = *Xopt;
-    projUV[i] = Tv_local.uvFromPoint(projP[i]); // in Tv_local uv-space (not necessarily inside Tv triangle, but should)
-  }
-
-  // Map projected triangle into root uv01 via H_accum
-  std::array<Vec2, 3> rootUV01 = {
-      applyH(H_accum, projUV[0]),
-      applyH(H_accum, projUV[1]),
-      applyH(H_accum, projUV[2]),
-  };
-
-  // Pixel bbox in root image
-  auto toPix = [&](const Vec2& uv01) -> Vec2 {
-    return Vec2{uv01.x * ctx.screen.W, uv01.y * ctx.screen.H};
-  };
-  Vec2 p0 = toPix(rootUV01[0]);
-  Vec2 p1 = toPix(rootUV01[1]);
-  Vec2 p2 = toPix(rootUV01[2]);
-
-  int xmin = (int)std::floor(std::min({p0.x, p1.x, p2.x}));
-  int xmax = (int)std::ceil (std::max({p0.x, p1.x, p2.x}));
-  int ymin = (int)std::floor(std::min({p0.y, p1.y, p2.y}));
-  int ymax = (int)std::ceil (std::max({p0.y, p1.y, p2.y}));
-  xmin = std::max(xmin, 0); ymin = std::max(ymin, 0);
-  xmax = std::min(xmax, ctx.img->w - 1); ymax = std::min(ymax, ctx.img->h - 1);
-
-  // For each pixel center: root uv01 -> tv uv via inverse H_accum -> inside test -> ray intersection
-  for (int y = ymin; y <= ymax; ++y) {
-    for (int x = xmin; x <= xmax; ++x) {
-      Vec2 uv01 = ctx.screen.uv01FromPixelCenter(x, y);
-      Vec2 uv_tv = applyH(H_accum_inv, uv01);
-
-      double w0, w1, w2;
-      if (!barycentric2D(uv_tv, projUV[0], projUV[1], projUV[2], w0, w1, w2)) continue;
-      if (w0 < -1e-8 || w1 < -1e-8 || w2 < -1e-8) continue;
-
-      // Build point on Tv plane for this uv_tv
-      Vec3 P_on_tv = Tv_local.pointFromUV(uv_tv);
-      Vec3 dir = normalize(P_on_tv - E_cur);
-
-      auto hit = intersectRayTrianglePlane(E_cur, dir, triPiece);
-      if (!hit.has_value()) continue;
-      double t_virtual = hit->first;
-      Vec3 X = hit->second;
-      if (t_virtual <= ctx.cfg.near_eps) continue;
-
-      // Ensure inside triPiece in its own uv
-      Vec2 uv_piece = triPiece.uvFromPoint(X);
-      if (!triPiece.containsUV(uv_piece)) continue;
-
-      // Depth for z-buffer: either real hit depth, or overridden mirror depth in root view
-      double depth = t_virtual;
-      if (depthOverride.valid) {
-        Vec3 P_root = ctx.screen.pointFromUV01(uv01);
-        Vec3 dir_root = normalize(P_root - ctx.rootEye);
-        double t_override = 0;
-        auto Xo = intersectRayPlane(ctx.rootEye, dir_root, depthOverride.writePlane, t_override);
-        if (!Xo.has_value() || t_override <= ctx.cfg.near_eps) continue;
-        depth = t_override;
-      }
-
-      Color base = shadeDiffuseSimple(triPiece, X, dir);
-      Color out = base * throughput;
-      ctx.img->setIfCloser(x, y, depth, out);
-    }
-  }
-}
-
-static void renderMetalTriangle(
-    RenderContext& ctx,
-    const Vec3& E_cur,
-    const Triangle& Tv_local, // parent curtain viewport
-    const Triangle& triMetal, // unclipped original metal tri OR clipped piece; both ok if plane same
-    const Mat3& H_accum, const Mat3& H_accum_inv,
-    const Color& throughput,
-    const DepthOverride& depthOverride,
-    int depthLevel) {
-
-  if (depthLevel >= ctx.cfg.L_max) return;
-
-  Plane metalPl = triMetal.plane(); // normalized
-  // Footprint of parent frustum on metal plane: intersect 3 boundary rays (E_cur -> Tv_local vertices)
-  std::array<Vec3, 3> Q;
-  std::array<Vec3, 3> Sv = {Tv_local.p0, Tv_local.p1, Tv_local.p2};
-  for (int i = 0; i < 3; ++i) {
-    Vec3 dir = normalize(Sv[i] - E_cur);
-    double t = 0;
-    auto Xopt = intersectRayPlane(E_cur, dir, metalPl, t);
-    if (!Xopt.has_value() || t <= ctx.cfg.near_eps) return;
-    Q[i] = *Xopt;
-  }
-
-  // Clip footprint triangle Q by the metal triangle in-plane (2D)
-  // Use metal triangle local 2D coords in its own basis
-  auto to2D_inMetal = [&](const Vec3& X) { return triMetal.uvFromPoint(X); };
-  std::array<Vec2, 3> metalTri2D = {Vec2{0, 0}, Vec2{1, 0}, Vec2{0, 1}};
-  std::vector<Vec2> poly2D = {to2D_inMetal(Q[0]), to2D_inMetal(Q[1]), to2D_inMetal(Q[2])};
-  poly2D = clipPolyByTri2D(poly2D, metalTri2D);
-  if (poly2D.size() < 3) return;
-
-  // Triangulate child viewport polygon on metal plane
-  std::vector<Triangle> childViewports;
-  for (size_t i = 1; i + 1 < poly2D.size(); ++i) {
-    Triangle tv;
-    tv.p0 = triMetal.pointFromUV(poly2D[0]);
-    tv.p1 = triMetal.pointFromUV(poly2D[i]);
-    tv.p2 = triMetal.pointFromUV(poly2D[i + 1]);
-    tv.mat.type = MaterialType::Curtain; // IMPORTANT: child is a viewport, not a drawable
-    tv.mat.albedo = {0, 0, 0};
-    childViewports.push_back(tv);
-  }
-
-  // Mirror camera
-  Vec3 E_mirror = reflectPointAboutPlane(E_cur, metalPl);
-
-  // Decide depth override: lock to the first mirror plane in root view
-  DepthOverride nextOverride = depthOverride;
-  if (!nextOverride.valid) {
-    nextOverride.valid = true;
-    nextOverride.writePlane = metalPl;
-  }
-
-  // Recurse for each child viewport
-  for (const Triangle& Tv_child : childViewports) {
-    // Stop condition by projected pixel area in root
-    // Need H_step: child uv -> parent uv, induced by central projection from E_cur onto parent plane
-    Plane parentPl = Tv_local.plane();
-
-    auto projToParent = [&](const Vec3& X_on_child) -> Vec3 {
-      Vec3 dir = normalize(X_on_child - E_cur);
-      double t = 0;
-      auto Xp = intersectRayPlane(E_cur, dir, parentPl, t);
-      if (!Xp.has_value()) return Tv_local.p0;
-      return *Xp;
-    };
-
-    // 4 correspondences: 3 vertices + centroid
-    std::array<Vec2, 4> src_uv_child = {
-        Vec2{0, 0},
-        Vec2{1, 0},
-        Vec2{0, 1},
-        Vec2{1.0 / 3.0, 1.0 / 3.0},
-    };
-    Vec3 C3 = (Tv_child.p0 + Tv_child.p1 + Tv_child.p2) / 3.0;
-    std::array<Vec3, 4> child3 = {Tv_child.p0, Tv_child.p1, Tv_child.p2, C3};
-    std::array<Vec2, 4> dst_uv_parent;
-    for (int i = 0; i < 4; ++i) {
-      Vec3 Xp = projToParent(child3[i]);
-      dst_uv_parent[i] = Tv_local.uvFromPoint(Xp);
-    }
-
-    Mat3 H_step, H_step_inv;
-    if (!homography4pt(src_uv_child, dst_uv_parent, H_step, H_step_inv)) continue;
-
-    Mat3 H_child_toRoot = mul(H_accum, H_step);
-    Mat3 H_child_toRoot_inv;
-    if (!invertMat3(H_child_toRoot, H_child_toRoot_inv)) continue;
-
-    double areaPx = estimateTrianglePixelArea(H_child_toRoot, Tv_child, ctx.screen);
-    if (areaPx < ctx.cfg.A_min_pixels) continue;
-
-    Color nextThroughput = throughput * triMetal.mat.albedo; // metal reflectance tint
-    renderTriangleWithTriangle(ctx, E_mirror, Tv_child, H_child_toRoot, H_child_toRoot_inv, nextThroughput, nextOverride, depthLevel + 1);
-  }
-}
-
-static void renderTriangleWithTriangle(
-    RenderContext& ctx,
-    const Vec3& E_cur,
-    const Triangle& Tv_local,
-    const Mat3& H_accum, const Mat3& H_accum_inv,
-    const Color& throughput,
-    const DepthOverride& depthOverride,
-    int depthLevel) {
-
-  if (Tv_local.mat.type != MaterialType::Curtain) {
-    // In this design, only Curtain triangles are viewports.
-    // (Metal recursion creates Tv_child as Curtain.)
-    return;
-  }
-
-  // Build frustum from E_cur and current viewport triangle
-  Frustum fr = buildFrustum(E_cur, Tv_local, ctx.cfg.near_eps, ctx.cfg.far);
-
-  // Collect candidates: clip each scene triangle against frustum
-  for (const Triangle& tri : *ctx.scene) {
-    if (tri.mat.type == MaterialType::Curtain) continue; // do not render curtain geometry
-    std::vector<Triangle> pieces = clipTriangleToFrustum(tri, fr);
-    for (const Triangle& piece : pieces) {
-      if (piece.mat.type == MaterialType::Diffuse) {
-        renderDiffusePiece(ctx, E_cur, Tv_local, piece, H_accum, H_accum_inv, throughput, depthOverride);
-      } else if (piece.mat.type == MaterialType::Metal) {
-        // Metal is recursive, no direct color; use parent frustum footprint method
-        renderMetalTriangle(ctx, E_cur, Tv_local, piece, H_accum, H_accum_inv, throughput, depthOverride, depthLevel);
-      }
-    }
-  }
-}
-
-// Build Cornell Box (5 faces) + 2 metal boxes
-static std::vector<Triangle> buildScene() {
-  std::vector<Triangle> s;
-
-  auto addQuad = [&](Vec3 a, Vec3 b, Vec3 c, Vec3 d, const Material& m) {
-    // (a,b,c) and (a,c,d)
-    Triangle t1{a, b, c, m};
-    Triangle t2{a, c, d, m};
-    s.push_back(t1);
-    s.push_back(t2);
-  };
-
-  // Cornell dimensions
-  // Coordinate system: x right, y up, z forward (into the box)
-  const double W = 2.0;
-  const double H = 2.0;
-  const double D = 2.5;
-
-  Vec3 A{-W/2, 0, 0};
-  Vec3 B{ W/2, 0, 0};
-  Vec3 C{ W/2, H, 0};
-  Vec3 Dd{-W/2, H, 0};
-
-  Vec3 A2{-W/2, 0, D};
-  Vec3 B2{ W/2, 0, D};
-  Vec3 C2{ W/2, H, D};
-  Vec3 D2{-W/2, H, D};
-
-  Material white{MaterialType::Diffuse, {0.75, 0.75, 0.75}};
-  Material red{MaterialType::Diffuse, {0.75, 0.15, 0.15}};
-  Material green{MaterialType::Diffuse, {0.15, 0.75, 0.15}};
-
-  // Floor: A..B..B2..A2
-  addQuad(A, B, B2, A2, white);
-  // Ceiling: Dd..C..C2..D2
-  addQuad(Dd, C, C2, D2, white);
-  // Back wall: A2..B2..C2..D2
-  addQuad(A2, B2, C2, D2, white);
-  // Left wall: A..A2..D2..Dd
-  addQuad(A, A2, D2, Dd, red);
-  // Right wall: B..C..C2..B2
-  addQuad(B, C, C2, B2, green);
-
-  auto addBox = [&](Vec3 minP, Vec3 maxP, const Material& m) {
-    Vec3 p000{minP.x, minP.y, minP.z};
-    Vec3 p100{maxP.x, minP.y, minP.z};
-    Vec3 p110{maxP.x, maxP.y, minP.z};
-    Vec3 p010{minP.x, maxP.y, minP.z};
-
-    Vec3 p001{minP.x, minP.y, maxP.z};
-    Vec3 p101{maxP.x, minP.y, maxP.z};
-    Vec3 p111{maxP.x, maxP.y, maxP.z};
-    Vec3 p011{minP.x, maxP.y, maxP.z};
-
-    // 6 faces
-    addQuad(p000, p100, p110, p010, m); // front (z=min)
-    addQuad(p001, p011, p111, p101, m); // back  (z=max)
-    addQuad(p000, p010, p011, p001, m); // left
-    addQuad(p100, p101, p111, p110, m); // right
-    addQuad(p010, p110, p111, p011, m); // top
-    addQuad(p000, p001, p101, p100, m); // bottom
-  };
-
-  Material metalBlue{MaterialType::Metal, {0.35, 0.45, 0.95}};
-  Material metalYellow{MaterialType::Metal, {0.95, 0.85, 0.25}};
-
-  // Two boxes inside (raise above floor a bit)
-  addBox(Vec3{-0.6, 0.0, 0.7}, Vec3{-0.1, 0.9, 1.2}, metalBlue);
-  addBox(Vec3{ 0.1, 0.0, 1.2}, Vec3{ 0.7, 1.4, 1.9}, metalYellow);
-
-  return s;
-}
-
-struct Camera {
-  Vec3 E;
-  Triangle Tv0, Tv1; // Curtain triangles covering screen
-  Screen screen;
-
-  static Camera makeDefault(int W, int H) {
-    Camera cam;
-    cam.E = Vec3{0, 1.0, -3.2};
-
-    // Screen rectangle in world: put in front of eye
-    // Define 4 corners of screen quad in world (z=-1.0 plane, spanning [-1,1]x[0,2])
-    Vec3 a{-1.0, 0.0, -1.0};
-    Vec3 b{ 1.0, 0.0, -1.0};
-    Vec3 c{ 1.0, 2.0, -1.0};
-    Vec3 d{-1.0, 2.0, -1.0};
-
-    Material curtain{MaterialType::Curtain, {0, 0, 0}};
-    cam.Tv0 = Triangle{a, b, c, curtain};
-    cam.Tv1 = Triangle{a, c, d, curtain};
-
-    cam.screen.O = a;
-    cam.screen.U = (b - a);
-    cam.screen.V = (d - a);
-    cam.screen.W = W;
-    cam.screen.H = H;
-
-    return cam;
-  }
-
-  void render(const std::vector<Triangle>& scene, Image& img, const RenderConfig& cfg) const {
-    RenderContext ctx;
-    ctx.scene = &scene;
-    ctx.img = &img;
-    ctx.screen = screen;
-    ctx.rootEye = E;
-    ctx.cfg = cfg;
-
-    Mat3 H0 = Mat3::identity();
-    Mat3 H0inv = Mat3::identity();
-    DepthOverride none;
-    none.valid = false;
-
-    Color throughput{1, 1, 1};
-
-    renderTriangleWithTriangle(ctx, E, Tv0, H0, H0inv, throughput, none, 0);
-    renderTriangleWithTriangle(ctx, E, Tv1, H0, H0inv, throughput, none, 0);
-  }
-};
-
-int main(int argc, char** argv) {
-  std::string out = "out.ppm";
-  if (argc >= 2) out = argv[1];
-
-  int W = 640, H = 480;
-  Image img(W, H);
-  img.clear(Color{0.0, 0.0, 0.0});
-
-  std::vector<Triangle> scene = buildScene();
-  Camera cam = Camera::makeDefault(W, H);
-
-  RenderConfig cfg;
-  cfg.near_eps = 1e-4;
-  cfg.far = std::nullopt; // or 10.0
-  cfg.L_max = 4;
-  cfg.A_min_pixels = 2.0;
-
-  cam.render(scene, img, cfg);
-  img.writePPM(out);
-
-  std::cerr << "Wrote " << out << "\n";
-  return 0;
-}

experiments/rt7.cpp

@@ -1,941 +0,0 @@
-// main.cpp
-// 一个“以面片为处理单位”的步进式递归渲染器（非逐像素光线追踪），输出 PPM。
-// 思路要点：
-// - 相机 viewport 被拆成 2 个三角形 Curtain；渲染时遍历场景三角形，把三角形“投影变形”到当前 viewport 三角形平面上
-// - 采用“由远到近”排序的 painter 覆盖关系（O(n log n)）
-// - Diffuse：只贴纹理/颜色（不递归）
-// - Metal：先贴自身，再把相机原点关于该金属三角形平面对称，令该金属三角形成为下一层 viewport，递归渲染反射并合成到金属区域
-//
-// 编译：g++ -O2 -std=c++17 main.cpp -o render
-// 运行：./render
-// 输出：out.ppm
-
-#include <algorithm>
-#include <array>
-#include <cassert>
-#include <cmath>
-#include <cstdint>
-#include <fstream>
-#include <iostream>
-#include <limits>
-#include <optional>
-#include <string>
-#include <tuple>
-#include <utility>
-#include <vector>
-
-static constexpr double kEps = 1e-9;
-
-static inline double clamp01(double x) {
-	return x < 0 ? 0 : (x > 1 ? 1 : x);
-}
-
-struct Vec2 {
-	double x = 0, y = 0;
-	Vec2() = default;
-	Vec2(double xx, double yy) : x(xx), y(yy) {
-	}
-	Vec2 operator+(const Vec2 &r) const {
-		return { x + r.x, y + r.y };
-	}
-	Vec2 operator-(const Vec2 &r) const {
-		return { x - r.x, y - r.y };
-	}
-	Vec2 operator*(double s) const {
-		return { x * s, y * s };
-	}
-};
-
-static inline double cross2(const Vec2 &a, const Vec2 &b) {
-	return a.x * b.y - a.y * b.x;
-}
-static inline double dot2(const Vec2 &a, const Vec2 &b) {
-	return a.x * b.x + a.y * b.y;
-}
-
-struct Vec3 {
-	double x = 0, y = 0, z = 0;
-	Vec3() = default;
-	Vec3(double xx, double yy, double zz) : x(xx), y(yy), z(zz) {
-	}
-
-	Vec3 operator+(const Vec3 &r) const {
-		return { x + r.x, y + r.y, z + r.z };
-	}
-	Vec3 operator-(const Vec3 &r) const {
-		return { x - r.x, y - r.y, z - r.z };
-	}
-	Vec3 operator*(double s) const {
-		return { x * s, y * s, z * s };
-	}
-	Vec3 operator/(double s) const {
-		return { x / s, y / s, z / s };
-	}
-
-	Vec3 &operator+=(const Vec3 &r) {
-		x += r.x;
-		y += r.y;
-		z += r.z;
-		return *this;
-	}
-};
-
-static inline double dot3(const Vec3 &a, const Vec3 &b) {
-	return a.x * b.x + a.y * b.y + a.z * b.z;
-}
-
-static inline Vec3 cross3(const Vec3 &a, const Vec3 &b) {
-	return {
-		a.y * b.z - a.z * b.y,
-		a.z * b.x - a.x * b.z,
-		a.x * b.y - a.y * b.x
-	};
-}
-
-static inline double length3(const Vec3 &v) {
-	return std::sqrt(dot3(v, v));
-}
-
-static inline Vec3 normalize3(const Vec3 &v) {
-	double len = length3(v);
-	if (len < kEps)
-		return { 0, 0, 0 };
-	return v / len;
-}
-
-static inline Vec3 hadamard(const Vec3 &a, const Vec3 &b) {
-	return { a.x * b.x, a.y * b.y, a.z * b.z };
-}
-
-struct ScreenTri {
-	Vec2 p0, p1, p2;
-};
-
-static inline double triArea2D(const Vec2 &a, const Vec2 &b, const Vec2 &c) {
-	return 0.5 * std::abs(cross2(b - a, c - a));
-}
-
-static inline double triArea2D(const ScreenTri &t) {
-	return triArea2D(t.p0, t.p1, t.p2);
-}
-
-static inline std::array<double, 3> barycentric2D(const Vec2 &p, const Vec2 &a, const Vec2 &b, const Vec2 &c) {
-	// 返回 (w0, w1, w2)，满足 p = w0*a + w1*b + w2*c，且 w0+w1+w2=1（在非退化情况下）
-	Vec2 v0 = b - a;
-	Vec2 v1 = c - a;
-	Vec2 v2 = p - a;
-	double den = cross2(v0, v1);
-	if (std::abs(den) < kEps)
-		return { -1, -1, -1 };
-	double w1 = cross2(v2, v1) / den;
-	double w2 = cross2(v0, v2) / den;
-	double w0 = 1.0 - w1 - w2;
-	return { w0, w1, w2 };
-}
-
-static inline bool pointInTri2D(const Vec2 &p, const Vec2 &a, const Vec2 &b, const Vec2 &c, double eps = 1e-8) {
-	auto w = barycentric2D(p, a, b, c);
-	return w[0] >= -eps && w[1] >= -eps && w[2] >= -eps;
-}
-
-static inline int orient(const Vec2 &a, const Vec2 &b, const Vec2 &c) {
-	double v = cross2(b - a, c - a);
-	if (v > 1e-12)
-		return 1;
-	if (v < -1e-12)
-		return -1;
-	return 0;
-}
-
-static inline bool onSegment(const Vec2 &a, const Vec2 &b, const Vec2 &p) {
-	return std::min(a.x, b.x) - 1e-12 <= p.x && p.x <= std::max(a.x, b.x) + 1e-12 && std::min(a.y, b.y) - 1e-12 <= p.y && p.y <= std::max(a.y, b.y) + 1e-12 && std::abs(cross2(b - a, p - a)) < 1e-10;
-}
-
-static inline bool segIntersects(const Vec2 &a, const Vec2 &b, const Vec2 &c, const Vec2 &d) {
-	int o1 = orient(a, b, c);
-	int o2 = orient(a, b, d);
-	int o3 = orient(c, d, a);
-	int o4 = orient(c, d, b);
-
-	if (o1 != o2 && o3 != o4)
-		return true;
-	if (o1 == 0 && onSegment(a, b, c))
-		return true;
-	if (o2 == 0 && onSegment(a, b, d))
-		return true;
-	if (o3 == 0 && onSegment(c, d, a))
-		return true;
-	if (o4 == 0 && onSegment(c, d, b))
-		return true;
-	return false;
-}
-
-static inline bool triOverlap2D(const ScreenTri &A, const ScreenTri &B) {
-	// 顶点包含测试
-	if (pointInTri2D(A.p0, B.p0, B.p1, B.p2) || pointInTri2D(A.p1, B.p0, B.p1, B.p2) || pointInTri2D(A.p2, B.p0, B.p1, B.p2))
-		return true;
-	if (pointInTri2D(B.p0, A.p0, A.p1, A.p2) || pointInTri2D(B.p1, A.p0, A.p1, A.p2) || pointInTri2D(B.p2, A.p0, A.p1, A.p2))
-		return true;
-
-	// 边相交测试
-	std::array<Vec2, 3> a = { A.p0, A.p1, A.p2 };
-	std::array<Vec2, 3> b = { B.p0, B.p1, B.p2 };
-	for (int i = 0; i < 3; i++) {
-		Vec2 a0 = a[i], a1 = a[(i + 1) % 3];
-		for (int j = 0; j < 3; j++) {
-			Vec2 b0 = b[j], b1 = b[(j + 1) % 3];
-			if (segIntersects(a0, a1, b0, b1))
-				return true;
-		}
-	}
-	return false;
-}
-
-enum class MaterialType {
-	Curtain,
-	Diffuse,
-	Metal
-};
-
-struct Material {
-	MaterialType type = MaterialType::Diffuse;
-	Vec3 baseColor { 1, 1, 1 };
-	double reflectivity = 0.85; // 仅 Metal 使用
-	bool checker = false;
-	double checkerScale = 8.0;
-};
-
-struct Triangle {
-	int id = -1;
-	Vec3 v0, v1, v2;
-	Vec2 uv0 { 0, 0 }, uv1 { 1, 0 }, uv2 { 0, 1 };
-	Material mat;
-
-	Vec3 normal() const {
-		return normalize3(cross3(v1 - v0, v2 - v0));
-	}
-	Vec3 centroid() const {
-		return (v0 + v1 + v2) / 3.0;
-	}
-};
-
-struct Image {
-	int w = 0, h = 0;
-	int ox = 0, oy = 0; // 全局坐标偏移（用于子 buffer）
-	bool masked = false; // true：未写入像素默认“无效”
-	std::vector<Vec3> pix;
-	std::vector<uint8_t> mask; // masked=true 时使用
-
-	Image() = default;
-	Image(int ww, int hh, int offx = 0, int offy = 0, bool useMask = false)
-		: w(ww), h(hh), ox(offx), oy(offy), masked(useMask), pix((size_t)ww * (size_t)hh, { 0, 0, 0 }) {
-		if (masked)
-			mask.assign((size_t)ww * (size_t)hh, 0);
-	}
-
-	bool inBoundsGlobal(int x, int y) const {
-		return x >= ox && x < ox + w && y >= oy && y < oy + h;
-	}
-
-	size_t idxGlobal(int x, int y) const {
-		return (size_t)(y - oy) * (size_t)w + (size_t)(x - ox);
-	}
-
-	Vec3 get(int x, int y) const {
-		if (!inBoundsGlobal(x, y))
-			return { 0, 0, 0 };
-		size_t i = idxGlobal(x, y);
-		if (masked && mask[i] == 0)
-			return { 0, 0, 0 };
-		return pix[i];
-	}
-
-	bool has(int x, int y) const {
-		if (!inBoundsGlobal(x, y))
-			return false;
-		if (!masked)
-			return true;
-		return mask[idxGlobal(x, y)] != 0;
-	}
-
-	void set(int x, int y, const Vec3 &c) {
-		if (!inBoundsGlobal(x, y))
-			return;
-		size_t i = idxGlobal(x, y);
-		pix[i] = c;
-		if (masked)
-			mask[i] = 1;
-	}
-
-	void writePPM(const std::string &path) const {
-		// 仅支持 ox=oy=0 且 masked=false 的整图输出
-		std::ofstream out(path, std::ios::binary);
-		out << "P6\n"
-			<< w << " " << h << "\n255\n";
-		for (int y = 0; y < h; y++) {
-			for (int x = 0; x < w; x++) {
-				Vec3 c = pix[(size_t)y * (size_t)w + (size_t)x];
-				// gamma 2.2
-				auto toByte = [](double v) -> uint8_t {
-					v = clamp01(v);
-					v = std::pow(v, 1.0 / 2.2);
-					int b = (int)std::lround(v * 255.0);
-					if (b < 0)
-						b = 0;
-					if (b > 255)
-						b = 255;
-					return (uint8_t)b;
-				};
-				uint8_t r = toByte(c.x);
-				uint8_t g = toByte(c.y);
-				uint8_t b = toByte(c.z);
-				out.write((const char *)&r, 1);
-				out.write((const char *)&g, 1);
-				out.write((const char *)&b, 1);
-			}
-		}
-	}
-};
-
-struct ViewportFrame {
-	Vec3 p0; // viewport v0
-	Vec3 n; // plane normal (unit)
-	Vec3 axisX; // in-plane basis
-	Vec3 axisY; // in-plane basis
-	Vec2 v0_2 { 0, 0 };
-	Vec2 v1_2 { 0, 0 };
-	Vec2 v2_2 { 0, 0 };
-};
-
-static inline ViewportFrame makeViewportFrame(const Triangle &viewport) {
-	ViewportFrame f;
-	f.p0 = viewport.v0;
-	Vec3 e01 = viewport.v1 - viewport.v0;
-	Vec3 e02 = viewport.v2 - viewport.v0;
-	f.n = normalize3(cross3(e01, e02));
-	f.axisX = normalize3(e01);
-	f.axisY = normalize3(cross3(f.n, f.axisX));
-
-	f.v0_2 = { 0, 0 };
-	f.v1_2 = { dot3(e01, f.axisX), dot3(e01, f.axisY) };
-	f.v2_2 = { dot3(e02, f.axisX), dot3(e02, f.axisY) };
-	return f;
-}
-
-static inline Vec2 toViewport2D(const ViewportFrame &f, const Vec3 &p) {
-	Vec3 d = p - f.p0;
-	return { dot3(d, f.axisX), dot3(d, f.axisY) };
-}
-
-static inline Vec3 reflectPointAcrossPlane(const Vec3 &p, const Vec3 &planePoint, const Vec3 &planeNormalUnit) {
-	// 反射点：p' = p - 2*dot(n, (p-planePoint))*n
-	double d = dot3(planeNormalUnit, p - planePoint);
-	return p - planeNormalUnit * (2.0 * d);
-}
-
-struct ProjectedTri {
-	ScreenTri screen; // 投影到最终输出（全局像素坐标）的三角形
-	std::array<double, 3> invW; // “投影深度倒数”等价量（用于透视矫正插值）
-};
-
-static inline std::optional<ProjectedTri> projectTriangleOntoViewport(
-	const Triangle &tri,
-	const Vec3 &origin,
-	const Triangle &viewportWorld,
-	const ScreenTri &viewportScreen,
-	const ViewportFrame &vf) {
-	// 把 tri 的三个顶点沿着 origin->vertex 的直线投影到 viewportWorld 的平面上，
-	// 再通过 viewportWorld 的重心坐标映射到 viewportScreen（像素三角形）上。
-	Vec3 n = vf.n;
-	Vec3 planeP = vf.p0;
-
-	auto projectPoint = [&](const Vec3 &P, double &outT, Vec3 &outProj) -> bool {
-		Vec3 dir = P - origin;
-		double denom = dot3(n, dir);
-		if (std::abs(denom) < 1e-12)
-			return false;
-		double t = dot3(n, planeP - origin) / denom;
-
-		// 关键：t>1 表示平面在 P 的“更远处”，即 P 位于 origin 与平面之间（不应被该 viewport 看见）
-		// t<=0 表示交点在 origin 反方向
-		if (!(t > 1e-9 && t <= 1.0 + 1e-7))
-			return false;
-
-		outT = t;
-		outProj = origin + dir * t;
-		return true;
-	};
-
-	std::array<Vec3, 3> P = { tri.v0, tri.v1, tri.v2 };
-	std::array<Vec3, 3> Q;
-	std::array<double, 3> t;
-
-	for (int i = 0; i < 3; i++) {
-		if (!projectPoint(P[i], t[i], Q[i]))
-			return std::nullopt;
-	}
-
-	// 投影点 Q 都在 viewport 平面上：计算它们相对 viewportWorld 的重心坐标
-	auto screenFromQ = [&](const Vec3 &q) -> std::optional<Vec2> {
-		Vec2 q2 = toViewport2D(vf, q);
-		auto w = barycentric2D(q2, vf.v0_2, vf.v1_2, vf.v2_2);
-		if (w[0] < -1e-6 || w[1] < -1e-6 || w[2] < -1e-6) {
-			// 允许在 viewport 外（仍可能与 viewport 相交），所以这里不做强制 inside
-			// 只要不是退化即可
-		}
-		if (!std::isfinite(w[0]) || !std::isfinite(w[1]) || !std::isfinite(w[2]))
-			return std::nullopt;
-
-		Vec2 s = viewportScreen.p0 * w[0] + viewportScreen.p1 * w[1] + viewportScreen.p2 * w[2];
-		return s;
-	};
-
-	std::array<Vec2, 3> S;
-	for (int i = 0; i < 3; i++) {
-		auto s = screenFromQ(Q[i]);
-		if (!s)
-			return std::nullopt;
-		S[i] = *s;
-	}
-
-	ProjectedTri out;
-	out.screen = { S[0], S[1], S[2] };
-
-	// 透视矫正：在“固定 origin + 固定 viewport 平面”下，t 等价于 1/depth（类比 plane z=1 时 t=1/z）
-	out.invW = { t[0], t[1], t[2] };
-	return out;
-}
-
-static inline Vec3 sampleMaterial(const Triangle &tri, const Vec2 &uv) {
-	// 简易纹理：checker 或纯色
-	Vec3 c = tri.mat.baseColor;
-	if (tri.mat.checker) {
-		double u = uv.x * tri.mat.checkerScale;
-		double v = uv.y * tri.mat.checkerScale;
-		int iu = (int)std::floor(u);
-		int iv = (int)std::floor(v);
-		bool odd = ((iu + iv) & 1) != 0;
-		double k = odd ? 0.55 : 1.0;
-		c = c * k;
-	}
-	return c;
-}
-
-static inline Vec3 shadeSimple(const Triangle &tri, const Vec3 &base) {
-	// 简易定向光 + 环境光，避免因法线翻转导致全黑：使用 abs(dot)
-	Vec3 n = tri.normal();
-	Vec3 lightDir = normalize3(Vec3 { -0.3, 0.9, -0.2 });
-	double ndl = std::abs(dot3(n, lightDir));
-	double ambient = 0.18;
-	double diff = ambient + (1.0 - ambient) * ndl;
-	return base * diff;
-}
-
-struct RasterMask {
-	int w = 0, h = 0;
-	int ox = 0, oy = 0;
-	std::vector<uint8_t> m;
-	RasterMask() = default;
-	RasterMask(int ww, int hh, int offx, int offy) : w(ww), h(hh), ox(offx), oy(offy), m((size_t)ww * (size_t)hh, 0) {
-	}
-
-	bool inBoundsGlobal(int x, int y) const {
-		return x >= ox && x < ox + w && y >= oy && y < oy + h;
-	}
-	size_t idxGlobal(int x, int y) const {
-		return (size_t)(y - oy) * (size_t)w + (size_t)(x - ox);
-	}
-
-	void set(int x, int y) {
-		if (!inBoundsGlobal(x, y))
-			return;
-		m[idxGlobal(x, y)] = 1;
-	}
-	bool get(int x, int y) const {
-		if (!inBoundsGlobal(x, y))
-			return false;
-		return m[idxGlobal(x, y)] != 0;
-	}
-};
-
-static inline void rasterizeProjectedTriangle(
-	Image &target,
-	const Triangle &tri,
-	const ProjectedTri &proj,
-	const ScreenTri &viewportScreen,
-	RasterMask *outMaskOrNull) {
-	// 在目标 target 上对 proj.screen 做三角形光栅化，并且裁剪在 viewportScreen 内（防止越界 spill）
-	ScreenTri st = proj.screen;
-
-	double minx = std::floor(std::min({ st.p0.x, st.p1.x, st.p2.x }));
-	double maxx = std::ceil(std::max({ st.p0.x, st.p1.x, st.p2.x }));
-	double miny = std::floor(std::min({ st.p0.y, st.p1.y, st.p2.y }));
-	double maxy = std::ceil(std::max({ st.p0.y, st.p1.y, st.p2.y }));
-
-	int ix0 = (int)minx;
-	int ix1 = (int)maxx;
-	int iy0 = (int)miny;
-	int iy1 = (int)maxy;
-
-	for (int y = iy0; y <= iy1; y++) {
-		for (int x = ix0; x <= ix1; x++) {
-			Vec2 p { (double)x + 0.5, (double)y + 0.5 };
-			if (!pointInTri2D(p, st.p0, st.p1, st.p2))
-				continue;
-			if (!pointInTri2D(p, viewportScreen.p0, viewportScreen.p1, viewportScreen.p2))
-				continue;
-			if (!target.inBoundsGlobal(x, y))
-				continue;
-
-			auto w = barycentric2D(p, st.p0, st.p1, st.p2);
-			if (w[0] < -1e-8 || w[1] < -1e-8 || w[2] < -1e-8)
-				continue;
-
-			// 透视矫正插值 UV
-			double iw0 = proj.invW[0], iw1 = proj.invW[1], iw2 = proj.invW[2];
-			double denom = w[0] * iw0 + w[1] * iw1 + w[2] * iw2;
-			if (std::abs(denom) < 1e-12)
-				continue;
-
-			Vec2 uv = (tri.uv0 * (w[0] * iw0) + tri.uv1 * (w[1] * iw1) + tri.uv2 * (w[2] * iw2)) * (1.0 / denom);
-
-			Vec3 base = sampleMaterial(tri, uv);
-			Vec3 col = shadeSimple(tri, base);
-
-			target.set(x, y, col);
-			if (outMaskOrNull)
-				outMaskOrNull->set(x, y);
-		}
-	}
-}
-
-// ---------（可选）三角形相交：这里给一个基础实现（不一定用于主流程）---------
-
-struct RayHit {
-	double t = 0;
-	Vec3 p;
-	Vec3 n;
-};
-
-static inline std::optional<RayHit> intersectRayTriangle(const Vec3 &ro, const Vec3 &rd, const Triangle &tri) {
-	// Möller–Trumbore（用于几何工具，主算法不按逐像素 ray casting）
-	Vec3 e1 = tri.v1 - tri.v0;
-	Vec3 e2 = tri.v2 - tri.v0;
-	Vec3 pvec = cross3(rd, e2);
-	double det = dot3(e1, pvec);
-	if (std::abs(det) < 1e-12)
-		return std::nullopt;
-	double invDet = 1.0 / det;
-
-	Vec3 tvec = ro - tri.v0;
-	double u = dot3(tvec, pvec) * invDet;
-	if (u < 0 || u > 1)
-		return std::nullopt;
-
-	Vec3 qvec = cross3(tvec, e1);
-	double v = dot3(rd, qvec) * invDet;
-	if (v < 0 || u + v > 1)
-		return std::nullopt;
-
-	double t = dot3(e2, qvec) * invDet;
-	if (t < 0)
-		return std::nullopt;
-
-	RayHit hit;
-	hit.t = t;
-	hit.p = ro + rd * t;
-	hit.n = tri.normal();
-	return hit;
-}
-
-static inline bool triangleTriangleIntersectRough(const Triangle &a, const Triangle &b) {
-	// 粗略：边与对方三角形的射线相交 + 顶点包含（足够作为“相关运算”示意）
-	auto testEdge = [&](const Vec3 &p0, const Vec3 &p1, const Triangle &tri) -> bool {
-		Vec3 d = p1 - p0;
-		double len = length3(d);
-		if (len < 1e-12)
-			return false;
-		Vec3 rd = d / len;
-		auto hit = intersectRayTriangle(p0, rd, tri);
-		if (!hit)
-			return false;
-		return hit->t >= 0 && hit->t <= len;
-	};
-
-	std::array<Vec3, 3> av = { a.v0, a.v1, a.v2 };
-	std::array<Vec3, 3> bv = { b.v0, b.v1, b.v2 };
-
-	for (int i = 0; i < 3; i++) {
-		if (testEdge(av[i], av[(i + 1) % 3], b))
-			return true;
-		if (testEdge(bv[i], bv[(i + 1) % 3], a))
-			return true;
-	}
-	return false;
-}
-
-// --------- 核心递归渲染：renderTriangleWithTriangle ---------
-
-struct RenderSettings {
-	int maxDepth = 4;
-	double minViewportAreaPx = 4.0; // 1~5 像素级阈值，这里取 4
-};
-
-struct Candidate {
-	const Triangle *tri = nullptr;
-	ProjectedTri proj;
-	double dist = 0;
-};
-
-static void renderTriangleWithTriangle(
-	const std::vector<Triangle> &scene,
-	const Vec3 &cameraOrigin,
-	const Triangle &curtainTriWorld, // 保留形参以贴合你的描述；本实现不强依赖它
-	const Triangle &currentViewportWorld, // 当前 viewport 面片（世界空间三角形）
-	const ScreenTri &viewportInImage, // 当前 viewport 面片在最终输出图上的三角形区域（像素三点）
-	Image &outTarget,
-	const RenderSettings &settings,
-	int depth) {
-	(void)curtainTriWorld;
-
-	if (depth > settings.maxDepth)
-		return;
-	if (triArea2D(viewportInImage) < settings.minViewportAreaPx)
-		return;
-
-	ViewportFrame vf = makeViewportFrame(currentViewportWorld);
-
-	std::vector<Candidate> candidates;
-	candidates.reserve(scene.size());
-
-	for (const Triangle &tri : scene) {
-		if (tri.id == currentViewportWorld.id && tri.id != -1)
-			continue; // viewport 自身不参与渲染，避免递归自反馈
-
-		auto projOpt = projectTriangleOntoViewport(tri, cameraOrigin, currentViewportWorld, viewportInImage, vf);
-		if (!projOpt)
-			continue;
-
-		// 投影三角形必须与 viewport 区域有重叠，否则不处理
-		if (!triOverlap2D(projOpt->screen, viewportInImage))
-			continue;
-
-		Candidate c;
-		c.tri = &tri;
-		c.proj = *projOpt;
-		c.dist = length3(tri.centroid() - cameraOrigin);
-		candidates.push_back(c);
-	}
-
-	// 覆盖关系：由远到近 painter（O(n log n)）
-	std::sort(candidates.begin(), candidates.end(), [](const Candidate &a, const Candidate &b) {
-		return a.dist > b.dist;
-	});
-
-	for (const Candidate &c : candidates) {
-		const Triangle &tri = *c.tri;
-
-		if (tri.mat.type == MaterialType::Diffuse) {
-			rasterizeProjectedTriangle(outTarget, tri, c.proj, viewportInImage, nullptr);
-			continue;
-		}
-
-		if (tri.mat.type == MaterialType::Metal) {
-			// 1) 先贴金属自身底色（并记录金属可见区域 mask）
-			ScreenTri metalScreen = c.proj.screen;
-
-			int bbMinX = (int)std::floor(std::min({ metalScreen.p0.x, metalScreen.p1.x, metalScreen.p2.x }));
-			int bbMaxX = (int)std::ceil(std::max({ metalScreen.p0.x, metalScreen.p1.x, metalScreen.p2.x }));
-			int bbMinY = (int)std::floor(std::min({ metalScreen.p0.y, metalScreen.p1.y, metalScreen.p2.y }));
-			int bbMaxY = (int)std::ceil(std::max({ metalScreen.p0.y, metalScreen.p1.y, metalScreen.p2.y }));
-
-			int bbW = std::max(1, bbMaxX - bbMinX + 1);
-			int bbH = std::max(1, bbMaxY - bbMinY + 1);
-
-			RasterMask metalMask(bbW, bbH, bbMinX, bbMinY);
-
-			rasterizeProjectedTriangle(outTarget, tri, c.proj, viewportInImage, &metalMask);
-
-			// 2) 计算“关于当前金属面片”的相机原点对称点，作为下一层递归的 origin
-			Vec3 n = tri.normal();
-			Vec3 originRef = reflectPointAcrossPlane(cameraOrigin, tri.v0, n);
-
-			// 3) 递归渲染反射：让当前金属面片 tri 自身成为下一层 viewport
-			//    注意：反射结果渲染到一个子 buffer（避免直接 blend 导致 painter 合成错误）
-			Image reflBuf(bbW, bbH, bbMinX, bbMinY, true /*masked*/);
-
-			// 递归终止也会受 metalScreen 面积限制（通过 viewportInImage 面积判断）
-			renderTriangleWithTriangle(
-				scene,
-				originRef,
-				curtainTriWorld,
-				tri, // 下一层 viewport = 当前金属三角形
-				metalScreen, // 下一层 viewport 在最终图片中的区域 = 当前金属区域（投影三角形）
-				reflBuf,
-				settings,
-				depth + 1);
-
-			// 4) 合成：只在 metalMask 覆盖到的像素上，把 reflBuf 以 reflectivity 混合到 outTarget
-			double a = clamp01(tri.mat.reflectivity);
-			for (int y = bbMinY; y <= bbMaxY; y++) {
-				for (int x = bbMinX; x <= bbMaxX; x++) {
-					if (!metalMask.get(x, y))
-						continue; // 只在“金属可见区域”合成
-					if (!reflBuf.has(x, y))
-						continue; // 反射缓冲没写入则不改变底色
-
-					Vec3 base = outTarget.get(x, y);
-					Vec3 refl = reflBuf.get(x, y);
-					Vec3 out = base * (1.0 - a) + refl * a;
-					outTarget.set(x, y, out);
-				}
-			}
-
-			continue;
-		}
-
-		// Curtain 类型一般不在 scene 里；若出现，忽略
-	}
-}
-
-// --------- Scene：Cornell Box + 两个金属盒子（蓝/黄）---------
-
-static int gNextTriId = 1;
-
-static inline Triangle makeTri(const Vec3 &a, const Vec3 &b, const Vec3 &c,
-	const Vec2 &uva, const Vec2 &uvb, const Vec2 &uvc,
-	const Material &m) {
-	Triangle t;
-	t.id = gNextTriId++;
-	t.v0 = a;
-	t.v1 = b;
-	t.v2 = c;
-	t.uv0 = uva;
-	t.uv1 = uvb;
-	t.uv2 = uvc;
-	t.mat = m;
-	return t;
-}
-
-static inline void addQuad(std::vector<Triangle> &out,
-	const Vec3 &a, const Vec3 &b, const Vec3 &c, const Vec3 &d,
-	const Material &m) {
-	// (a,b,c) + (a,c,d)
-	out.push_back(makeTri(a, b, c, { 0, 0 }, { 1, 0 }, { 1, 1 }, m));
-	out.push_back(makeTri(a, c, d, { 0, 0 }, { 1, 1 }, { 0, 1 }, m));
-}
-
-static inline Vec3 rotateY(const Vec3 &p, double rad) {
-	double cs = std::cos(rad), sn = std::sin(rad);
-	return { p.x * cs + p.z * sn, p.y, -p.x * sn + p.z * cs };
-}
-
-static inline void addBox(std::vector<Triangle> &out,
-	const Vec3 &center,
-	const Vec3 &size, // (sx, sy, sz)
-	double rotYRad,
-	const Material &m) {
-	Vec3 h = size * 0.5;
-
-	// 8 corners in local space
-	std::array<Vec3, 8> v = {
-		Vec3 { -h.x, -h.y, -h.z }, // 0
-		Vec3 { h.x, -h.y, -h.z }, // 1
-		Vec3 { h.x, h.y, -h.z }, // 2
-		Vec3 { -h.x, h.y, -h.z }, // 3
-		Vec3 { -h.x, -h.y, h.z }, // 4
-		Vec3 { h.x, -h.y, h.z }, // 5
-		Vec3 { h.x, h.y, h.z }, // 6
-		Vec3 { -h.x, h.y, h.z } // 7
-	};
-
-	for (auto &p : v)
-		p = rotateY(p, rotYRad) + center;
-
-	// faces: each as quad (a,b,c,d) with consistent uv
-	// Front (-z): 0,1,2,3
-	addQuad(out, v[0], v[1], v[2], v[3], m);
-	// Back (+z): 5,4,7,6 (swap order to vary orientation; shading使用abs不敏感)
-	addQuad(out, v[5], v[4], v[7], v[6], m);
-	// Left (-x): 4,0,3,7
-	addQuad(out, v[4], v[0], v[3], v[7], m);
-	// Right (+x): 1,5,6,2
-	addQuad(out, v[1], v[5], v[6], v[2], m);
-	// Bottom (-y): 4,5,1,0
-	addQuad(out, v[4], v[5], v[1], v[0], m);
-	// Top (+y): 3,2,6,7
-	addQuad(out, v[3], v[2], v[6], v[7], m);
-}
-
-static inline std::vector<Triangle> buildCornellScene() {
-	std::vector<Triangle> tris;
-	tris.reserve(128);
-
-	// Cornell box 尺寸（前方开口，便于相机观察）
-	// x in [-1,1], y in [0,2], z in [0,2]
-	Vec3 L { -1, 0, 0 }, R { 1, 0, 0 };
-	(void)L;
-	(void)R;
-
-	Material floorM;
-	floorM.type = MaterialType::Diffuse;
-	floorM.baseColor = { 0.9, 0.9, 0.9 };
-	floorM.checker = true;
-	floorM.checkerScale = 6;
-	Material leftM;
-	leftM.type = MaterialType::Diffuse;
-	leftM.baseColor = { 0.9, 0.2, 0.2 };
-	Material rightM;
-	rightM.type = MaterialType::Diffuse;
-	rightM.baseColor = { 0.2, 0.9, 0.2 };
-	Material backM;
-	backM.type = MaterialType::Diffuse;
-	backM.baseColor = { 0.95, 0.95, 0.95 };
-
-	// Floor y=0
-	addQuad(tris,
-		Vec3 { -1, 0, 0 }, Vec3 { 1, 0, 0 }, Vec3 { 1, 0, 2 }, Vec3 { -1, 0, 2 },
-		floorM);
-
-	// Left wall x=-1
-	addQuad(tris,
-		Vec3 { -1, 0, 0 }, Vec3 { -1, 0, 2 }, Vec3 { -1, 2, 2 }, Vec3 { -1, 2, 0 },
-		leftM);
-
-	// Right wall x=1
-	addQuad(tris,
-		Vec3 { 1, 0, 0 }, Vec3 { 1, 2, 0 }, Vec3 { 1, 2, 2 }, Vec3 { 1, 0, 2 },
-		rightM);
-
-	// Back wall z=2
-	addQuad(tris,
-		Vec3 { -1, 0, 2 }, Vec3 { 1, 0, 2 }, Vec3 { 1, 2, 2 }, Vec3 { -1, 2, 2 },
-		backM);
-
-	// 两个金属盒子（蓝/黄），放在盒子内部
-	Material blueMetal;
-	blueMetal.type = MaterialType::Metal;
-	blueMetal.baseColor = { 0.15, 0.25, 0.95 };
-	blueMetal.reflectivity = 0.85;
-	blueMetal.checker = false;
-	Material yellowMetal;
-	yellowMetal.type = MaterialType::Metal;
-	yellowMetal.baseColor = { 0.95, 0.85, 0.15 };
-	yellowMetal.reflectivity = 0.80;
-	yellowMetal.checker = false;
-
-	addBox(tris, Vec3 { -0.45, 0.50, 1.05 }, Vec3 { 0.55, 1.00, 0.55 }, 0.30, blueMetal);
-	addBox(tris, Vec3 { 0.45, 0.35, 1.45 }, Vec3 { 0.65, 0.70, 0.65 }, -0.45, /*yellowMetal*/rightM);
-
-	return tris;
-}
-
-// --------- Camera：viewport 两三角形 Curtain，调用两次渲染并输出 PPM ---------
-
-struct Camera {
-	Vec3 origin { 0, 1, -3 };
-	Vec3 lookAt { 0, 1, 1 };
-	Vec3 up { 0, 1, 0 };
-
-	int width = 800;
-	int height = 600;
-	double fovYDeg = 50.0;
-	double focalDist = 1.0;
-
-	Triangle curtainA; // world
-	Triangle curtainB; // world
-	ScreenTri screenA; // image region
-	ScreenTri screenB; // image region
-
-	void buildCurtain() {
-		Vec3 forward = normalize3(lookAt - origin);
-		Vec3 right = normalize3(cross3(forward, up));
-		Vec3 up2 = normalize3(cross3(right, forward));
-
-		double aspect = (double)width / (double)height;
-		double fovYRad = fovYDeg * M_PI / 180.0;
-		double halfH = std::tan(fovYRad * 0.5) * focalDist;
-		double halfW = halfH * aspect;
-
-		Vec3 center = origin + forward * focalDist;
-		Vec3 tl = center + up2 * halfH - right * halfW;
-		Vec3 tr = center + up2 * halfH + right * halfW;
-		Vec3 bl = center - up2 * halfH - right * halfW;
-		Vec3 br = center - up2 * halfH + right * halfW;
-
-		Material curtainM;
-		curtainM.type = MaterialType::Curtain;
-		curtainM.baseColor = { 0, 0, 0 };
-
-		curtainA.id = -1001;
-		curtainA.v0 = tl;
-		curtainA.v1 = tr;
-		curtainA.v2 = bl;
-		curtainA.mat = curtainM;
-
-		curtainB.id = -1002;
-		curtainB.v0 = br;
-		curtainB.v1 = bl;
-		curtainB.v2 = tr;
-		curtainB.mat = curtainM;
-
-		// 像素三角形：覆盖整个图像矩形（对角线划分）
-		// 注意：图像坐标原点在左上，y 向下
-		screenA = { Vec2 { 0, 0 }, Vec2 { (double)(width - 1), 0 }, Vec2 { 0, (double)(height - 1) } };
-		screenB = { Vec2 { (double)(width - 1), (double)(height - 1) }, Vec2 { 0, (double)(height - 1) }, Vec2 { (double)(width - 1), 0 } };
-	}
-
-	void render(const std::vector<Triangle> &scene, const std::string &outPath) {
-		buildCurtain();
-
-		Image img(width, height, 0, 0, false);
-		// 背景（默认黑）
-		for (auto &p : img.pix)
-			p = Vec3 { 0.0, 0.0, 0.0 };
-
-		RenderSettings settings;
-		settings.maxDepth = 4;
-		settings.minViewportAreaPx = 4.0;
-
-		// CurtainA
-		renderTriangleWithTriangle(
-			scene,
-			origin,
-			curtainA,
-			curtainA,
-			screenA,
-			img,
-			settings,
-			0);
-
-		// CurtainB
-		renderTriangleWithTriangle(
-			scene,
-			origin,
-			curtainB,
-			curtainB,
-			screenB,
-			img,
-			settings,
-			0);
-
-		img.writePPM(outPath);
-	}
-};
-
-int main() {
-	std::vector<Triangle> scene = buildCornellScene();
-
-	Camera cam;
-	cam.width = 900;
-	cam.height = 700;
-	cam.origin = Vec3 { 0.0, 1.0, -3.2 };
-	cam.lookAt = Vec3 { 0.0, 1.0, 1.0 };
-	cam.fovYDeg = 52.0;
-	cam.focalDist = 1.0;
-
-	cam.render(scene, "out.ppm");
-
-	std::cerr << "Wrote out.ppm\n";
-	return 0;
-}

experiments/rt8.cpp

@@ -1,606 +0,0 @@
-#include <algorithm>
-#include <array>
-#include <cmath>
-#include <cstdint>
-#include <fstream>
-#include <iostream>
-#include <limits>
-#include <string>
-#include <vector>
-
-static constexpr double kEps = 1e-9;
-
-static inline double clamp01(double v) { return std::max(0.0, std::min(1.0, v)); }
-static inline int clampInt(int v, int lo, int hi) { return std::max(lo, std::min(hi, v)); }
-
-struct Vec2 {
-  double x = 0.0, y = 0.0;
-
-  Vec2() = default;
-  Vec2(double xx, double yy) : x(xx), y(yy) {}
-
-  Vec2 operator+(const Vec2& r) const { return Vec2(x + r.x, y + r.y); }
-  Vec2 operator-(const Vec2& r) const { return Vec2(x - r.x, y - r.y); }
-  Vec2 operator*(double s) const { return Vec2(x * s, y * s); }
-  Vec2 operator/(double s) const { return Vec2(x / s, y / s); }
-};
-
-static inline Vec2 operator*(double s, const Vec2& v) { return v * s; }
-
-static inline double dot(const Vec2& a, const Vec2& b) { return a.x * b.x + a.y * b.y; }
-static inline double cross2(const Vec2& a, const Vec2& b) { return a.x * b.y - a.y * b.x; }
-static inline double orient2D(const Vec2& a, const Vec2& b, const Vec2& c) { return cross2(b - a, c - a); }
-
-struct Vec3 {
-  double x = 0.0, y = 0.0, z = 0.0;
-
-  Vec3() = default;
-  Vec3(double xx, double yy, double zz) : x(xx), y(yy), z(zz) {}
-
-  Vec3 operator+(const Vec3& r) const { return Vec3(x + r.x, y + r.y, z + r.z); }
-  Vec3 operator-(const Vec3& r) const { return Vec3(x - r.x, y - r.y, z - r.z); }
-  Vec3 operator*(double s) const { return Vec3(x * s, y * s, z * s); }
-  Vec3 operator/(double s) const { return Vec3(x / s, y / s, z / s); }
-
-  Vec3 operator*(const Vec3& r) const { return Vec3(x * r.x, y * r.y, z * r.z); }
-  Vec3 operator/(const Vec3& r) const { return Vec3(x / r.x, y / r.y, z / r.z); }
-};
-
-static inline Vec3 operator*(double s, const Vec3& v) { return v * s; }
-
-static inline double dot(const Vec3& a, const Vec3& b) { return a.x * b.x + a.y * b.y + a.z * b.z; }
-static inline Vec3 cross(const Vec3& a, const Vec3& b) {
-  return Vec3(a.y * b.z - a.z * b.y,
-              a.z * b.x - a.x * b.z,
-              a.x * b.y - a.y * b.x);
-}
-static inline double length(const Vec3& v) { return std::sqrt(dot(v, v)); }
-static inline Vec3 normalize(const Vec3& v) {
-  double len = length(v);
-  if (len < kEps) return Vec3(0, 0, 0);
-  return v / len;
-}
-static inline Vec3 clamp01(const Vec3& c) { return Vec3(clamp01(c.x), clamp01(c.y), clamp01(c.z)); }
-
-struct Triangle2D {
-  Vec2 a, b, c;
-
-  double areaAbs() const { return std::abs(orient2D(a, b, c)) * 0.5; }
-
-  Vec2 minXY() const {
-    return Vec2(std::min({a.x, b.x, c.x}), std::min({a.y, b.y, c.y}));
-  }
-  Vec2 maxXY() const {
-    return Vec2(std::max({a.x, b.x, c.x}), std::max({a.y, b.y, c.y}));
-  }
-};
-
-static inline bool barycentric2D(const Vec2& p, const Vec2& a, const Vec2& b, const Vec2& c, Vec3& wOut) {
-  double denom = orient2D(a, b, c);
-  if (std::abs(denom) < kEps) return false;
-  double w0 = orient2D(p, b, c) / denom;
-  double w1 = orient2D(a, p, c) / denom;
-  double w2 = 1.0 - w0 - w1;
-  wOut = Vec3(w0, w1, w2);
-  return true;
-}
-
-static inline bool pointInTri2D(const Vec2& p, const Triangle2D& t, double eps = 1e-8) {
-  Vec3 w;
-  if (!barycentric2D(p, t.a, t.b, t.c, w)) return false;
-  return (w.x >= -eps && w.y >= -eps && w.z >= -eps);
-}
-
-static inline bool onSegment(const Vec2& a, const Vec2& b, const Vec2& p, double eps = 1e-9) {
-  if (std::abs(orient2D(a, b, p)) > eps) return false;
-  return (std::min(a.x, b.x) - eps <= p.x && p.x <= std::max(a.x, b.x) + eps &&
-          std::min(a.y, b.y) - eps <= p.y && p.y <= std::max(a.y, b.y) + eps);
-}
-
-static inline bool segmentsIntersect2D(const Vec2& p1, const Vec2& p2, const Vec2& q1, const Vec2& q2) {
-  double o1 = orient2D(p1, p2, q1);
-  double o2 = orient2D(p1, p2, q2);
-  double o3 = orient2D(q1, q2, p1);
-  double o4 = orient2D(q1, q2, p2);
-
-  auto sgn = [](double v) -> int {
-    if (v > 1e-12) return 1;
-    if (v < -1e-12) return -1;
-    return 0;
-  };
-
-  int s1 = sgn(o1), s2 = sgn(o2), s3 = sgn(o3), s4 = sgn(o4);
-
-  if (s1 * s2 < 0 && s3 * s4 < 0) return true;
-
-  if (s1 == 0 && onSegment(p1, p2, q1)) return true;
-  if (s2 == 0 && onSegment(p1, p2, q2)) return true;
-  if (s3 == 0 && onSegment(q1, q2, p1)) return true;
-  if (s4 == 0 && onSegment(q1, q2, p2)) return true;
-
-  return false;
-}
-
-static inline bool trianglesOverlap2D(const Triangle2D& t1, const Triangle2D& t2) {
-  Vec2 min1 = t1.minXY(), max1 = t1.maxXY();
-  Vec2 min2 = t2.minXY(), max2 = t2.maxXY();
-  if (max1.x < min2.x || max2.x < min1.x || max1.y < min2.y || max2.y < min1.y) return false;
-
-  if (pointInTri2D(t1.a, t2) || pointInTri2D(t1.b, t2) || pointInTri2D(t1.c, t2)) return true;
-  if (pointInTri2D(t2.a, t1) || pointInTri2D(t2.b, t1) || pointInTri2D(t2.c, t1)) return true;
-
-  std::array<Vec2, 3> e1a{t1.a, t1.b, t1.c};
-  std::array<Vec2, 3> e1b{t1.b, t1.c, t1.a};
-  std::array<Vec2, 3> e2a{t2.a, t2.b, t2.c};
-  std::array<Vec2, 3> e2b{t2.b, t2.c, t2.a};
-
-  for (int i = 0; i < 3; ++i) {
-    for (int j = 0; j < 3; ++j) {
-      if (segmentsIntersect2D(e1a[i], e1b[i], e2a[j], e2b[j])) return true;
-    }
-  }
-  return false;
-}
-
-enum class MaterialType { Curtain, Diffuse, Metal };
-
-struct Material {
-  MaterialType type = MaterialType::Diffuse;
-  Vec3 baseColor = Vec3(1, 1, 1);
-  double reflectance = 0.85;
-};
-
-struct Triangle {
-  int id = -1;
-  Vec3 a, b, c;
-  Vec2 uvA, uvB, uvC;
-  Material mat;
-
-  Vec3 normal() const { return normalize(cross(b - a, c - a)); }
-  Vec3 centroid() const { return (a + b + c) / 3.0; }
-};
-
-struct Image {
-  int w = 0, h = 0;
-  std::vector<Vec3> px;
-
-  Image(int width, int height) : w(width), h(height), px((size_t)width * (size_t)height, Vec3(0, 0, 0)) {}
-
-  void clear(const Vec3& c) { std::fill(px.begin(), px.end(), c); }
-
-  Vec3 get(int x, int y) const { return px[(size_t)y * (size_t)w + (size_t)x]; }
-
-  void blendPixel(int x, int y, const Vec3& src, double alpha) {
-    if (x < 0 || x >= w || y < 0 || y >= h) return;
-    alpha = clamp01(alpha);
-    Vec3& dst = px[(size_t)y * (size_t)w + (size_t)x];
-    dst = dst * (1.0 - alpha) + src * alpha;
-  }
-
-  void writePPM(const std::string& path) const {
-    std::ofstream out(path, std::ios::binary);
-    if (!out) {
-      std::cerr << "Cannot open output file: " << path << "\n";
-      return;
-    }
-    out << "P6\n" << w << " " << h << "\n255\n";
-    for (int y = 0; y < h; ++y) {
-      for (int x = 0; x < w; ++x) {
-        Vec3 c = clamp01(get(x, y));
-        auto toSRGB8 = [](double v) -> unsigned char {
-          v = clamp01(v);
-          v = std::pow(v, 1.0 / 2.2);
-          int iv = (int)std::lround(v * 255.0);
-          iv = clampInt(iv, 0, 255);
-          return (unsigned char)iv;
-        };
-        unsigned char r = toSRGB8(c.x);
-        unsigned char g = toSRGB8(c.y);
-        unsigned char b = toSRGB8(c.z);
-        out.write((char*)&r, 1);
-        out.write((char*)&g, 1);
-        out.write((char*)&b, 1);
-      }
-    }
-  }
-};
-
-static inline Vec3 reflectPointAcrossPlane(const Vec3& p, const Vec3& planePoint, const Vec3& planeNormalUnit) {
-  double d = dot(p - planePoint, planeNormalUnit);
-  return p - planeNormalUnit * (2.0 * d);
-}
-
-static inline bool projectPointToPlaneFromOrigin(const Vec3& origin,
-                                                const Vec3& point,
-                                                const Vec3& planePoint,
-                                                const Vec3& planeNormalUnit,
-                                                Vec3& hit,
-                                                double& tOut) {
-  Vec3 dir = point - origin;
-  double denom = dot(dir, planeNormalUnit);
-  if (denom <= 1e-12) return false;
-  double t = dot(planePoint - origin, planeNormalUnit) / denom;
-  if (t <= 1e-12) return false;
-  hit = origin + dir * t;
-  tOut = t;
-  return true;
-}
-
-static inline double wrap01(double u) {
-  u = u - std::floor(u);
-  if (u < 0) u += 1.0;
-  return u;
-}
-
-static inline Vec3 sampleCheckerUV(const Vec2& uv, const Vec3& base) {
-  double u = wrap01(uv.x);
-  double v = wrap01(uv.y);
-
-  const double scale = 10.0;
-  int iu = (int)std::floor(u * scale);
-  int iv = (int)std::floor(v * scale);
-
-  double checker = ((iu + iv) & 1) ? 0.82 : 1.0;
-
-  double fu = u * scale - std::floor(u * scale);
-  double fv = v * scale - std::floor(v * scale);
-  double line = (fu < 0.05 || fv < 0.05) ? 0.55 : 1.0;
-
-  return base * (checker * line);
-}
-
-struct RenderSettings {
-  int maxDepth = 3;
-  double minViewportAreaPx = 3.0;
-  double minReflectAreaPx = 8.0;
-};
-
-struct RenderLayer {
-  Vec3 tint = Vec3(1, 1, 1);
-  double alpha = 1.0;
-};
-
-struct Candidate {
-  const Triangle* tri = nullptr;
-  Triangle2D projPlane;
-  Triangle2D projScreen;
-  double depthMetric = 0.0;
-};
-
-static inline Vec2 mapPlaneToScreen(const Vec2& pPlane, const Triangle2D& viewportPlaneTri, const Triangle2D& viewportScreenTri) {
-  Vec3 w;
-  if (!barycentric2D(pPlane, viewportPlaneTri.a, viewportPlaneTri.b, viewportPlaneTri.c, w)) return viewportScreenTri.a;
-  return viewportScreenTri.a * w.x + viewportScreenTri.b * w.y + viewportScreenTri.c * w.z;
-}
-
-static Vec3 shadeTriangle(const Triangle& tri, const Vec2& uv, const Vec3& viewOrigin) {
-  Vec3 n = tri.normal();
-  Vec3 lightDir = normalize(Vec3(-0.35, 0.9, -0.25)); // 方向光：从上方略偏前
-  double ndotl = std::max(0.0, dot(n, lightDir));
-
-  Vec3 albedo = tri.mat.baseColor;
-  if (tri.mat.type == MaterialType::Diffuse) {
-    albedo = sampleCheckerUV(uv, albedo);
-    double ambient = 0.22;
-    double diff = ambient + (1.0 - ambient) * ndotl;
-    return albedo * diff;
-  }
-
-  if (tri.mat.type == MaterialType::Metal) {
-    double ambient = 0.05;
-    double diff = ambient + (1.0 - ambient) * std::pow(ndotl, 0.35);
-    return albedo * diff;
-  }
-
-  return albedo;
-}
-
-static void rasterizeTriangleToImage(const Triangle& tri,
-                                     const Triangle2D& triScreen,
-                                     const Triangle2D& clipScreen,
-                                     Image& img,
-                                     const Vec3& viewOrigin,
-                                     const RenderLayer& layer) {
-  Vec2 bbMin = triScreen.minXY();
-  Vec2 bbMax = triScreen.maxXY();
-
-  int minX = clampInt((int)std::floor(bbMin.x), 0, img.w - 1);
-  int maxX = clampInt((int)std::ceil(bbMax.x), 0, img.w - 1);
-  int minY = clampInt((int)std::floor(bbMin.y), 0, img.h - 1);
-  int maxY = clampInt((int)std::ceil(bbMax.y), 0, img.h - 1);
-
-  for (int y = minY; y <= maxY; ++y) {
-    for (int x = minX; x <= maxX; ++x) {
-      Vec2 p((double)x + 0.5, (double)y + 0.5);
-
-      if (!pointInTri2D(p, clipScreen)) continue;
-
-      Vec3 w;
-      if (!barycentric2D(p, triScreen.a, triScreen.b, triScreen.c, w)) continue;
-      if (w.x < -1e-8 || w.y < -1e-8 || w.z < -1e-8) continue;
-
-      Vec2 uv = tri.uvA * w.x + tri.uvB * w.y + tri.uvC * w.z;
-
-      Vec3 c = shadeTriangle(tri, uv, viewOrigin);
-      c = c * layer.tint;
-      img.blendPixel(x, y, c, layer.alpha);
-    }
-  }
-}
-
-static void renderTriangleWithTriangle(const std::vector<Triangle>& scene,
-                                      const Vec3& origin,
-                                      const Triangle& viewportWorld,
-                                      const Triangle2D& viewportScreen,
-                                      Image& img,
-                                      int depth,
-                                      const RenderSettings& settings,
-                                      const RenderLayer& layer,
-                                      int ignoreTriId) {
-  if (depth > settings.maxDepth) return;
-
-  double viewportArea = viewportScreen.areaAbs();
-  if (viewportArea < settings.minViewportAreaPx) return;
-
-  Vec3 planePoint = viewportWorld.a;
-  Vec3 n = normalize(cross(viewportWorld.b - viewportWorld.a, viewportWorld.c - viewportWorld.a));
-  if (length(n) < 1e-12) return;
-
-  if (dot(planePoint - origin, n) < 0.0) n = n * -1.0;
-
-  double planeDist = dot(planePoint - origin, n);
-  if (planeDist <= 1e-9) return;
-
-  Vec3 u3 = normalize(viewportWorld.b - viewportWorld.a);
-  if (length(u3) < 1e-12) return;
-  Vec3 v3 = normalize(cross(n, u3));
-  if (length(v3) < 1e-12) return;
-
-  Triangle2D viewportPlane;
-  viewportPlane.a = Vec2(0.0, 0.0);
-  viewportPlane.b = Vec2(dot(viewportWorld.b - viewportWorld.a, u3), dot(viewportWorld.b - viewportWorld.a, v3));
-  viewportPlane.c = Vec2(dot(viewportWorld.c - viewportWorld.a, u3), dot(viewportWorld.c - viewportWorld.a, v3));
-
-  std::vector<Candidate> candidates;
-  candidates.reserve(scene.size());
-
-  for (const Triangle& tri : scene) {
-    if (tri.id == ignoreTriId) continue;
-    if (tri.mat.type == MaterialType::Curtain) continue;
-
-    std::array<Vec3, 3> vtx{tri.a, tri.b, tri.c};
-    std::array<Vec2, 3> proj2;
-    std::array<double, 3> denom;
-    bool ok = true;
-
-    for (int i = 0; i < 3; ++i) {
-      Vec3 hit;
-      double t;
-      if (!projectPointToPlaneFromOrigin(origin, vtx[i], planePoint, n, hit, t)) { ok = false; break; }
-
-      if (t >= 1.0 - 1e-6) { ok = false; break; }
-
-      proj2[i] = Vec2(dot(hit - planePoint, u3), dot(hit - planePoint, v3));
-      denom[i] = dot(vtx[i] - origin, n);
-      if (denom[i] <= 1e-9) { ok = false; break; }
-    }
-    if (!ok) continue;
-
-    Triangle2D projPlane{proj2[0], proj2[1], proj2[2]};
-    if (!trianglesOverlap2D(projPlane, viewportPlane)) continue;
-
-    Triangle2D projScreen;
-    projScreen.a = mapPlaneToScreen(projPlane.a, viewportPlane, viewportScreen);
-    projScreen.b = mapPlaneToScreen(projPlane.b, viewportPlane, viewportScreen);
-    projScreen.c = mapPlaneToScreen(projPlane.c, viewportPlane, viewportScreen);
-
-    double depthMetric = (denom[0] + denom[1] + denom[2]) / 3.0;
-
-    candidates.push_back(Candidate{&tri, projPlane, projScreen, depthMetric});
-  }
-
-  std::sort(candidates.begin(), candidates.end(),
-            [](const Candidate& lhs, const Candidate& rhs) { return lhs.depthMetric > rhs.depthMetric; });
-
-  bool enableCull = (depth == 0);
-
-  for (const Candidate& cand : candidates) {
-    const Triangle& tri = *cand.tri;
-
-    if (enableCull) {
-      Vec3 nn = tri.normal();
-      Vec3 toOrigin = origin - tri.centroid();
-      if (dot(nn, toOrigin) <= 0.0) continue;
-    }
-
-    rasterizeTriangleToImage(tri, cand.projScreen, viewportScreen, img, origin, layer);
-
-    if (tri.mat.type == MaterialType::Metal) {
-      double triAreaPx = cand.projScreen.areaAbs();
-      if (triAreaPx < settings.minReflectAreaPx) continue;
-      if (depth >= settings.maxDepth) continue;
-
-      Vec3 mirrorN = tri.normal();
-      if (length(mirrorN) < 1e-12) continue;
-
-      Vec3 mirroredOrigin = reflectPointAcrossPlane(origin, tri.a, mirrorN);
-
-      RenderLayer childLayer;
-      childLayer.tint = layer.tint * tri.mat.baseColor;
-      childLayer.alpha = layer.alpha * clamp01(tri.mat.reflectance);
-
-      if (childLayer.alpha < 1e-4) continue;
-
-      renderTriangleWithTriangle(scene,
-                                 mirroredOrigin,
-                                 tri,
-                                 cand.projScreen,
-                                 img,
-                                 depth + 1,
-                                 settings,
-                                 childLayer,
-                                 tri.id);
-    }
-  }
-}
-
-static Triangle makeTri(int& idCounter,
-                        const Vec3& a, const Vec3& b, const Vec3& c,
-                        const Vec2& uvA, const Vec2& uvB, const Vec2& uvC,
-                        const Material& mat) {
-  Triangle t;
-  t.id = idCounter++;
-  t.a = a; t.b = b; t.c = c;
-  t.uvA = uvA; t.uvB = uvB; t.uvC = uvC;
-  t.mat = mat;
-  return t;
-}
-
-static void addQuad(std::vector<Triangle>& out, int& idCounter,
-                    const Vec3& p00, const Vec3& p10, const Vec3& p11, const Vec3& p01,
-                    const Material& mat,
-                    bool windingForGivenNormal = true) {
-  Vec2 uv00(0, 0), uv10(1, 0), uv11(1, 1), uv01(0, 1);
-
-  if (windingForGivenNormal) {
-    out.push_back(makeTri(idCounter, p00, p11, p10, uv00, uv11, uv10, mat));
-    out.push_back(makeTri(idCounter, p00, p01, p11, uv00, uv01, uv11, mat));
-  } else {
-    out.push_back(makeTri(idCounter, p00, p10, p11, uv00, uv10, uv11, mat));
-    out.push_back(makeTri(idCounter, p00, p11, p01, uv00, uv11, uv01, mat));
-  }
-}
-
-static void addAxisAlignedBox(std::vector<Triangle>& out, int& idCounter,
-                             const Vec3& bmin, const Vec3& bmax,
-                             const Material& mat) {
-  Vec3 p000(bmin.x, bmin.y, bmin.z);
-  Vec3 p100(bmax.x, bmin.y, bmin.z);
-  Vec3 p110(bmax.x, bmax.y, bmin.z);
-  Vec3 p010(bmin.x, bmax.y, bmin.z);
-
-  Vec3 p001(bmin.x, bmin.y, bmax.z);
-  Vec3 p101(bmax.x, bmin.y, bmax.z);
-  Vec3 p111(bmax.x, bmax.y, bmax.z);
-  Vec3 p011(bmin.x, bmax.y, bmax.z);
-
-  addQuad(out, idCounter, p001, p101, p111, p011, mat, true);   // front  +z
-  addQuad(out, idCounter, p100, p000, p010, p110, mat, true);   // back   -z
-  addQuad(out, idCounter, p000, p001, p011, p010, mat, true);   // left   -x
-  addQuad(out, idCounter, p101, p100, p110, p111, mat, true);   // right  +x
-  addQuad(out, idCounter, p010, p011, p111, p110, mat, true);   // top    +y
-  addQuad(out, idCounter, p000, p100, p101, p001, mat, true);   // bottom -y
-}
-
-struct Camera {
-  Vec3 origin;
-  Triangle viewportWorld0;
-  Triangle viewportWorld1;
-  Triangle2D viewportScreen0;
-  Triangle2D viewportScreen1;
-
-  void render(const std::vector<Triangle>& scene, Image& img, const RenderSettings& settings) const {
-    RenderLayer rootLayer;
-    rootLayer.tint = Vec3(1, 1, 1);
-    rootLayer.alpha = 1.0;
-
-    renderTriangleWithTriangle(scene, origin, viewportWorld0, viewportScreen0, img, 0, settings, rootLayer, -1);
-    renderTriangleWithTriangle(scene, origin, viewportWorld1, viewportScreen1, img, 0, settings, rootLayer, -1);
-  }
-};
-
-int main() {
-  const int W = 800;
-  const int H = 600;
-
-  Image img(W, H);
-  img.clear(Vec3(0.02, 0.02, 0.025));
-
-  RenderSettings settings;
-  settings.maxDepth = 3;
-  settings.minViewportAreaPx = 2.0;
-  settings.minReflectAreaPx = 14.0;
-
-  std::vector<Triangle> scene;
-  scene.reserve(128);
-  int idCounter = 0;
-
-  Material redWall;    redWall.type = MaterialType::Diffuse; redWall.baseColor = Vec3(0.78, 0.16, 0.16);
-  Material greenWall;  greenWall.type = MaterialType::Diffuse; greenWall.baseColor = Vec3(0.16, 0.78, 0.18);
-  Material whiteWall;  whiteWall.type = MaterialType::Diffuse; whiteWall.baseColor = Vec3(0.82, 0.82, 0.82);
-
-  Material metalBlue;   metalBlue.type = MaterialType::Metal; metalBlue.baseColor = Vec3(0.12, 0.35, 1.00); metalBlue.reflectance = 0.85;
-  Material metalYellow; metalYellow.type = MaterialType::Metal; metalYellow.baseColor = Vec3(1.00, 0.86, 0.18); metalYellow.reflectance = 0.85;
-
-  // Cornell Box: x [-1,1], y [0,2], z [0,2]
-  // floor (y=0), normal +y
-  addQuad(scene, idCounter,
-          Vec3(-1, 0, 0), Vec3( 1, 0, 0), Vec3( 1, 0, 2), Vec3(-1, 0, 2),
-          whiteWall, true);
-
-  // ceiling (y=2), normal -y：用反 winding
-  addQuad(scene, idCounter,
-          Vec3(-1, 2, 2), Vec3( 1, 2, 2), Vec3( 1, 2, 0), Vec3(-1, 2, 0),
-          whiteWall, true);
-
-  // back wall (z=2), normal -z
-  addQuad(scene, idCounter,
-          Vec3(-1, 0, 2), Vec3( 1, 0, 2), Vec3( 1, 2, 2), Vec3(-1, 2, 2),
-          whiteWall, false);
-
-  // left wall (x=-1), normal +x
-  addQuad(scene, idCounter,
-          Vec3(-1, 0, 0), Vec3(-1, 0, 2), Vec3(-1, 2, 2), Vec3(-1, 2, 0),
-          redWall, true);
-
-  // right wall (x=1), normal -x
-  addQuad(scene, idCounter,
-          Vec3( 1, 0, 2), Vec3( 1, 0, 0), Vec3( 1, 2, 0), Vec3( 1, 2, 2),
-          greenWall, true);
-
-  // Two metallic boxes (axis-aligned for simplicity)
-  addAxisAlignedBox(scene, idCounter, Vec3(-0.65, 0.0, 0.55), Vec3(-0.10, 0.70, 1.10), metalBlue);
-  addAxisAlignedBox(scene, idCounter, Vec3( 0.10, 0.0, 1.05), Vec3( 0.70, 0.95, 1.70), metalYellow);
-
-  // Camera + viewport (two triangles)
-  Camera cam;
-  cam.origin = Vec3(0.0, 1.0, -3.0);
-
-  Material curtain; curtain.type = MaterialType::Curtain; curtain.baseColor = Vec3(0, 0, 0);
-
-  Vec3 bl(-1.0, 0.0, -1.0);
-  Vec3 br( 1.0, 0.0, -1.0);
-  Vec3 tr( 1.0, 2.0, -1.0);
-  Vec3 tl(-1.0, 2.0, -1.0);
-
-  {
-    Triangle t0;
-    t0.id = -100;
-    t0.a = bl; t0.b = br; t0.c = tl;
-    t0.uvA = Vec2(0, 1); t0.uvB = Vec2(1, 1); t0.uvC = Vec2(0, 0);
-    t0.mat = curtain;
-    cam.viewportWorld0 = t0;
-
-    Triangle t1;
-    t1.id = -101;
-    t1.a = br; t1.b = tr; t1.c = tl;
-    t1.uvA = Vec2(1, 1); t1.uvB = Vec2(1, 0); t1.uvC = Vec2(0, 0);
-    t1.mat = curtain;
-    cam.viewportWorld1 = t1;
-  }
-
-  // Screen triangles cover whole image rectangle
-  Vec2 sbl(0.0, (double)H - 1.0);
-  Vec2 sbr((double)W - 1.0, (double)H - 1.0);
-  Vec2 str((double)W - 1.0, 0.0);
-  Vec2 stl(0.0, 0.0);
-
-  cam.viewportScreen0 = Triangle2D{sbl, sbr, stl};
-  cam.viewportScreen1 = Triangle2D{sbr, str, stl};
-
-  cam.render(scene, img, settings);
-
-  img.writePPM("output.ppm");
-  std::cerr << "Done. Wrote output.ppm\n";
-  return 0;
-}

experiments/rt_orig.cpp

@@ -1,291 +0,0 @@
-#define _USE_MATH_DEFINES
-/*
- * 基于三角形面片的步进式纹理变换康奈尔盒渲染器（无递归，无AO/反射，仅面片遮挡关系）
- * 编译: g++ cornell_box_tri_step_transform.cpp -std=c++11 -O2 -o cornell_box_tri
- * 运行: ./cornell_box_tri
- */
-
-#include <algorithm>
-#include <cmath>
-#include <cstdio>
-#include <iostream>
-#include <vector>
-
-constexpr float EPS = 1e-6f;
-constexpr float INF = 1e30f;
-
-struct Vec3 {
-	float x, y, z;
-	Vec3(float xx = 0, float yy = 0, float zz = 0) : x(xx), y(yy), z(zz) {
-	}
-	Vec3 operator+(const Vec3 &b) const {
-		return Vec3(x + b.x, y + b.y, z + b.z);
-	}
-	Vec3 operator-(const Vec3 &b) const {
-		return Vec3(x - b.x, y - b.y, z - b.z);
-	}
-	Vec3 operator*(float s) const {
-		return Vec3(x * s, y * s, z * s);
-	}
-	float dot(const Vec3 &b) const {
-		return x * b.x + y * b.y + z * b.z;
-	}
-	Vec3 cross(const Vec3 &b) const {
-		return Vec3(
-			y * b.z - z * b.y,
-			z * b.x - x * b.z,
-			x * b.y - y * b.x);
-	}
-	float length() const {
-		return std::sqrt(x * x + y * y + z * z);
-	}
-	Vec3 normalized() const {
-		float l = length();
-		return (*this) * (1.0f / l);
-	}
-};
-
-struct Color {
-	float r, g, b;
-	Color(float rr = 0, float gg = 0, float bb = 0) : r(rr), g(gg), b(bb) {
-	}
-	Color operator*(float s) const {
-		return Color(r * s, g * s, b * s);
-	}
-	Color operator+(const Color &c) const {
-		return Color(r + c.r, g + c.g, b + c.b);
-	}
-	void clamp() {
-		r = fmaxf(0.0f, fminf(1.0f, r));
-		g = fmaxf(0.0f, fminf(1.0f, g));
-		b = fmaxf(0.0f, fminf(1.0f, b));
-	}
-};
-
-struct Texture {
-	virtual Color at(float u, float v) const = 0;
-	virtual ~Texture() {
-	}
-};
-struct SolidTexture : Texture {
-	Color c;
-	SolidTexture(Color cc) : c(cc) {
-	}
-	Color at(float, float) const override {
-		return c;
-	}
-};
-struct CheckerTexture : Texture {
-	Color a, b;
-	float scale;
-	CheckerTexture(Color c1, Color c2, float s = 10) : a(c1), b(c2), scale(s) {
-	}
-	Color at(float u, float v) const override {
-		int xx = int(floor(u * scale)), yy = int(floor(v * scale));
-		return ((xx + yy) % 2 == 0) ? a : b;
-	}
-};
-struct MetalTexture : Texture {
-	Color tint;
-	MetalTexture(Color tt) : tint(tt) {
-	}
-	Color at(float, float) const override {
-		return tint;
-	}
-};
-
-struct Tri {
-	Vec3 v0, v1, v2;
-	Vec3 n; // 法线
-	Vec3 uv0, uv1, uv2; // uv.xy
-	Texture *tex;
-	Tri(Vec3 a, Vec3 b, Vec3 c, Vec3 t0, Vec3 t1, Vec3 t2, Texture *tx)
-		: v0(a), v1(b), v2(c), uv0(t0), uv1(t1), uv2(t2), tex(tx) {
-		n = (v1 - v0).cross(v2 - v0).normalized();
-	}
-	// 射线相交
-	bool intersect(const Vec3 &o, const Vec3 &d, float &t, float &u, float &v) const {
-		// Moller-Trumbore
-		Vec3 e1 = v1 - v0, e2 = v2 - v0, h = d.cross(e2), s = o - v0;
-		float a = e1.dot(h);
-		if (fabs(a) < EPS)
-			return false;
-		float f = 1.f / a;
-		u = f * s.dot(h);
-		if (u < 0 || u > 1)
-			return false;
-		Vec3 q = s.cross(e1);
-		v = f * d.dot(q);
-		if (v < 0 || u + v > 1)
-			return false;
-		t = f * e2.dot(q);
-		return t > EPS;
-	}
-	// barycentric -> uv
-	void bary2uv(float b0, float b1, float b2, float &u, float &v) const {
-		u = uv0.x * b0 + uv1.x * b1 + uv2.x * b2;
-		v = uv0.y * b0 + uv1.y * b1 + uv2.y * b2;
-	}
-	// 在射线上与面片交点对应的纹理坐标
-	bool texcoord_at_hit(const Vec3 &o, const Vec3 &d, float &t, float &outu, float &outv) const {
-		float uu, vv;
-		if (!intersect(o, d, t, uu, vv))
-			return false;
-		float w = 1 - uu - vv;
-		bary2uv(w, uu, vv, outu, outv);
-		return true;
-	}
-};
-
-struct Camera {
-	Vec3 pos, target, up;
-	float fov;
-	Camera(Vec3 p, Vec3 t, Vec3 u, float f) : pos(p), target(t), up(u), fov(f) {
-	}
-};
-
-// Cornell box三角分割，每个面（矩形）分两个三角
-struct Scene {
-	std::vector<Tri> tris;
-	std::vector<Texture *> textures; // 管理资源释放
-	~Scene() {
-		for (Texture *t : textures)
-			delete t;
-	}
-	Scene() {
-		// 盒体(-1~1)
-		Texture *red = new SolidTexture(Color(0.8, 0.15, 0.15)),
-				*green = new SolidTexture(Color(0.15, 0.8, 0.15)),
-				*white = new SolidTexture(Color(0.8, 0.8, 0.8)),
-				*checker = new CheckerTexture(Color(0.9, 0.9, 0.9), Color(0.1, 0.1, 0.1), 8);
-		textures = { red, green, white, checker };
-
-		// --- 左壁(红)
-		pushQuad(-1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, red);
-		// --- 右壁(绿)
-		pushQuad(1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, green);
-		// --- 地板(棋盘)
-		pushQuad(-1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, checker);
-		// --- 顶
-		pushQuad(-1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, white);
-		// --- 背面(白)
-		pushQuad(-1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, white);
-
-		// 添加一个立方体（中心(-0.4,-0.5,0.2)，尺寸0.4）
-		pushBox(-0.4f, -0.7f, 0.2f, 0.20f, white);
-	}
-	// 面片顶点uv为(0,0),(1,0),(1,1),(0,1)
-	void pushQuad(float x0, float y0, float z0, float x1, float y1, float z1,
-		float x2, float y2, float z2, float x3, float y3, float z3, Texture *t) {
-		tris.emplace_back(Vec3(x0, y0, z0), Vec3(x1, y1, z1), Vec3(x2, y2, z2),
-			Vec3(0, 0, 0), Vec3(1, 0, 0), Vec3(1, 1, 0), t);
-		tris.emplace_back(Vec3(x0, y0, z0), Vec3(x2, y2, z2), Vec3(x3, y3, z3),
-			Vec3(0, 0, 0), Vec3(1, 1, 0), Vec3(0, 1, 0), t);
-	}
-	// 六面体
-	void pushBox(float cx, float cy, float cz, float r, Texture *t) {
-		float x = cx, y = cy, z = cz, s = r;
-		float X[2] = { x - s, x + s }, Y[2] = { y - s, y + s }, Z[2] = { z - s, z + s };
-		// 六面六个pushQuad
-		pushQuad(X[0], Y[0], Z[0], X[1], Y[0], Z[0], X[1], Y[1], Z[0], X[0], Y[1], Z[0], t); // 后
-		pushQuad(X[0], Y[0], Z[1], X[1], Y[0], Z[1], X[1], Y[1], Z[1], X[0], Y[1], Z[1], t); // 前
-		pushQuad(X[0], Y[0], Z[0], X[0], Y[1], Z[0], X[0], Y[1], Z[1], X[0], Y[0], Z[1], t); // 左
-		pushQuad(X[1], Y[0], Z[0], X[1], Y[1], Z[0], X[1], Y[1], Z[1], X[1], Y[0], Z[1], t); // 右
-		pushQuad(X[0], Y[1], Z[0], X[1], Y[1], Z[0], X[1], Y[1], Z[1], X[0], Y[1], Z[1], t); // 上
-		pushQuad(X[0], Y[0], Z[0], X[1], Y[0], Z[0], X[1], Y[0], Z[1], X[0], Y[0], Z[1], t); // 下
-	}
-};
-
-struct Viewport {
-	int w, h;
-	std::vector<Color> pixels;
-	Viewport(int W, int H) : w(W), h(H), pixels(W * H) {
-	}
-	void set(int x, int y, const Color &c) {
-		if (x >= 0 && y >= 0 && x < w && y < h)
-			pixels[y * w + x] = c;
-	}
-	const Color &get(int x, int y) const {
-		return pixels[y * w + x];
-	}
-};
-
-struct Cand {
-	float t; // 距离
-	Color c;
-	Cand(float _t, const Color &_c) : t(_t), c(_c) {
-	}
-};
-bool dist_cmp(const Cand &a, const Cand &b) {
-	return a.t > b.t;
-}
-
-// 主渲染器
-void render(const Scene &scene, const Camera &cam, Viewport &vp) {
-	// 视锥参数
-	Vec3 forward = (cam.target - cam.pos).normalized();
-	Vec3 right = forward.cross(cam.up).normalized();
-	Vec3 up = right.cross(forward);
-	float aspect = 1.0 * vp.w / vp.h;
-	float imagePlaneDist = 1.0;
-	float scale = tanf(cam.fov * 0.5f * M_PI / 180.f) * imagePlaneDist;
-
-	for (int y = 0; y < vp.h; ++y)
-		for (int x = 0; x < vp.w; ++x) {
-			float fx = (2 * (x + 0.5f) / vp.w - 1) * aspect * scale;
-			float fy = (1 - 2 * (y + 0.5f) / vp.h) * scale;
-			Vec3 dir = (forward * imagePlaneDist + right * fx + up * fy).normalized();
-
-			std::vector<Cand> cands;
-			for (const auto &tri : scene.tris) {
-				float t, u, v;
-				if (tri.intersect(cam.pos, dir, t, u, v)) {
-					float w = 1 - u - v, uu, vv;
-					tri.bary2uv(w, u, v, uu, vv);
-					Color col = tri.tex->at(uu, vv);
-					cands.emplace_back(t, col);
-				}
-			}
-			if (cands.empty()) {
-				vp.set(x, y, Color(0, 0, 0));
-				continue;
-			}
-			std::sort(cands.begin(), cands.end(), dist_cmp);
-			Color col = cands.front().c;
-			col.clamp();
-			vp.set(x, y, col);
-		}
-	std::cerr << "Rendered." << std::endl;
-}
-
-void writePPM(const Viewport &vp, const char *fn) {
-	FILE *f = fopen(fn, "wb");
-	fprintf(f, "P6\n%d %d\n255\n", vp.w, vp.h);
-	for (int y = 0; y < vp.h; ++y)
-		for (int x = 0; x < vp.w; ++x) {
-			Color c = vp.get(x, y);
-			c.clamp();
-			unsigned char rr = (unsigned char)(pow(c.r, 1 / 2.2f) * 255);
-			unsigned char gg = (unsigned char)(pow(c.g, 1 / 2.2f) * 255);
-			unsigned char bb = (unsigned char)(pow(c.b, 1 / 2.2f) * 255);
-			fwrite(&rr, 1, 1, f);
-			fwrite(&gg, 1, 1, f);
-			fwrite(&bb, 1, 1, f);
-		}
-	fclose(f);
-}
-
-int main() {
-	int width = 512, height = 512;
-	Scene scene;
-	Camera cam(
-		Vec3(0, 0, 4),
-		Vec3(0, 0, 0),
-		Vec3(0, 1, 0),
-		50.f);
-	Viewport vp(width, height);
-	render(scene, cam, vp);
-	writePPM(vp, "out.ppm");
-	std::cout << "Saved to out.ppm\n";
-	return 0;
-}

files.md

@@ -0,0 +1,102 @@
+### 文件：include/are/core/types.h
+```cpp
+/**
+ * @file types.h
+ * @brief Basic type definitions and constants
+ */
+
+#ifndef ARE_INCLUDE_CORE_TYPES_H
+#define ARE_INCLUDE_CORE_TYPES_H
+
+#include <cstdint>
+#include <glm/glm.hpp>
+
+namespace are {
+
+// Floating point precision
+using Real = float;
+
+// Common vector types
+using Vec2 = glm::vec2;
+using Vec3 = glm::vec3;
+using Vec4 = glm::vec4;
+
+using Vec2i = glm::ivec2;
+using Vec3i = glm::ivec3;
+using Vec4i = glm::ivec4;
+
+// Matrix types
+using Mat3 = glm::mat3;
+using Mat4 = glm::mat4;
+
+// Color type (RGBA)
+using Color = Vec4;
+
+// Handle types for resource management
+using MeshHandle = uint32_t;
+using MaterialHandle = uint32_t;
+using LightHandle = uint32_t;
+using TextureHandle = uint32_t;
+
+// Invalid handle constant
+constexpr uint32_t are_invalid_handle = 0xFFFFFFFF;
+
+// Mathematical constants
+constexpr Real are_pi = 3.14159265358979323846f;
+constexpr Real are_two_pi = 6.28318530717958647692f;
+constexpr Real are_inv_pi = 0.31830988618379067154f;
+constexpr Real are_inv_two_pi = 0.15915494309189533577f;
+constexpr Real are_epsilon = 1e-6f;
+
+// Ray tracing backend types
+enum class RayTracingBackend {
+    ARE_RT_BACKEND_CPU,
+    ARE_RT_BACKEND_COMPUTE_SHADER
+};
+
+// Tone mapping operators
+enum class ToneMappingOperator {
+    ARE_TONEMAP_NONE,
+    ARE_TONEMAP_REINHARD,
+    ARE_TONEMAP_ACES
+};
+
+// G-Buffer visualization modes
+enum class GBufferVisualizationMode {
+    ARE_GBUFFER_VIS_NONE,
+    ARE_GBUFFER_VIS_POSITION,
+    ARE_GBUFFER_VIS_NORMAL,
+    ARE_GBUFFER_VIS_ALBEDO,
+    ARE_GBUFFER_VIS_METALLIC,
+    ARE_GBUFFER_VIS_ROUGHNESS,
+    ARE_GBUFFER_VIS_DEPTH
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_CORE_TYPES_H
+```
+
+### 文件：include/are/core/logger.h
+```cpp
+```
+
+### 文件：include/are/core/config.h
+```cpp
+```
+
+### 文件：include/are/utils/math_utils.h
+```cpp
+```
+
+### 文件：include/are/core/profiler.h
+```cpp
+```
+
+### 文件：src/core/logger.cpp
+```cpp
+```
+
+### 文件：CMakeLists.txt
+```CMakeLists.txt
+```

include/are/acceleration/bvh.h

@@ -0,0 +1,109 @@
+/**
+ * @file bvh.h
+ * @brief BVH interface and traversal
+ */
+
+#ifndef ARE_INCLUDE_ACCELERATION_BVH_H
+#define ARE_INCLUDE_ACCELERATION_BVH_H
+
+#include <are/core/types.h>
+#include <are/acceleration/bvh_node.h>
+#include <are/acceleration/bvh_builder.h>
+#include <are/geometry/triangle.h>
+#include <are/raytracer/ray.h>
+#include <are/raytracer/hit_record.h>
+#include <vector>
+
+namespace are {
+
+/**
+ * @class BVH
+ * @brief Bounding Volume Hierarchy for ray tracing acceleration
+ */
+class BVH {
+public:
+    /**
+     * @brief Constructor
+     */
+    BVH();
+
+    /**
+     * @brief Destructor
+     */
+    ~BVH();
+
+    /**
+     * @brief Build BVH from triangle list
+     * @param triangles Triangle list
+     * @param config Build configuration
+     * @return true if build succeeded
+     */
+    bool build(const std::vector<Triangle>& triangles,
+              const BVHBuildConfig& config = BVHBuildConfig());
+
+    /**
+     * @brief Traverse BVH and find closest intersection
+     * @param ray Ray to trace
+     * @param hit Output hit record
+     * @return true if intersection found
+     */
+    bool intersect(const Ray& ray, HitRecord& hit) const;
+
+    /**
+     * @brief Fast occlusion test (any hit)
+     * @param ray Ray to trace
+     * @param t_max Maximum t value
+     * @return true if any intersection found
+     */
+    bool intersect_any(const Ray& ray, Real t_max) const;
+
+    /**
+     * @brief Check if BVH is built
+     * @return true if built
+     */
+    bool is_built() const { return !nodes_.empty(); }
+
+    /**
+     * @brief Get BVH nodes (for GPU upload)
+     * @return Node array
+     */
+    const std::vector<BVHNode>& get_nodes() const { return nodes_; }
+
+    /**
+     * @brief Get primitive indices
+     * @return Index array
+     */
+    const std::vector<uint32_t>& get_primitive_indices() const { 
+        return primitive_indices_; 
+    }
+
+    /**
+     * @brief Get triangles
+     * @return Triangle array
+     */
+    const std::vector<Triangle>& get_triangles() const { return triangles_; }
+
+    /**
+     * @brief Get memory usage in bytes
+     * @return Memory usage
+     */
+    size_t get_memory_usage() const;
+
+    /**
+     * @brief Clear BVH data
+     */
+    void clear();
+
+private:
+    bool intersect_recursive(uint32_t node_index, const Ray& ray, HitRecord& hit) const;
+    bool intersect_any_recursive(uint32_t node_index, const Ray& ray, Real t_max) const;
+
+    std::vector<BVHNode> nodes_;          ///< BVH nodes
+    std::vector<uint32_t> primitive_indices_; ///< Primitive index array
+    std::vector<Triangle> triangles_;     ///< Triangle data
+    uint32_t root_index_;                 ///< Root node index
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_ACCELERATION_BVH_H

include/are/acceleration/bvh_builder.h

@@ -0,0 +1,94 @@
+/**
+ * @file bvh_builder.h
+ * @brief BVH construction algorithms
+ */
+
+#ifndef ARE_INCLUDE_ACCELERATION_BVH_BUILDER_H
+#define ARE_INCLUDE_ACCELERATION_BVH_BUILDER_H
+
+#include <are/core/types.h>
+#include <are/acceleration/bvh_node.h>
+#include <are/geometry/triangle.h>
+#include <vector>
+
+namespace are {
+
+/**
+ * @enum BVHSplitMethod
+ * @brief BVH splitting strategies
+ */
+enum class BVHSplitMethod {
+    ARE_BVH_SPLIT_MIDDLE,                 ///< Split at midpoint
+    ARE_BVH_SPLIT_SAH                     ///< Surface Area Heuristic
+};
+
+/**
+ * @struct BVHBuildConfig
+ * @brief Configuration for BVH construction
+ */
+struct BVHBuildConfig {
+    BVHSplitMethod split_method_ = BVHSplitMethod::ARE_BVH_SPLIT_SAH;
+    int max_leaf_size_ = 4;               ///< Maximum triangles per leaf
+    int max_depth_ = 64;                  ///< Maximum tree depth
+    bool use_multithreading_ = true;      ///< Use parallel construction
+};
+
+/**
+ * @class BVHBuilder
+ * @brief Constructs BVH from triangle list
+ */
+class BVHBuilder {
+public:
+    /**
+     * @brief Constructor
+     * @param config Build configuration
+     */
+    explicit BVHBuilder(const BVHBuildConfig& config = BVHBuildConfig());
+
+    /**
+     * @brief Build BVH from triangles
+     * @param triangles Triangle list
+     * @param nodes Output node list
+     * @param primitive_indices Output primitive index list
+     * @return Root node index
+     */
+    uint32_t build(const std::vector<Triangle>& triangles,
+                  std::vector<BVHNode>& nodes,
+                  std::vector<uint32_t>& primitive_indices);
+
+    /**
+     * @brief Get build statistics
+     * @param node_count Output node count
+     * @param leaf_count Output leaf count
+     * @param max_depth Output maximum depth reached
+     */
+    void get_stats(size_t& node_count, size_t& leaf_count, int& max_depth) const;
+
+private:
+    struct BuildEntry {
+        uint32_t parent_;
+        uint32_t start_;
+        uint32_t end_;
+        int depth_;
+    };
+
+    uint32_t build_recursive(const std::vector<Triangle>& triangles,
+                            std::vector<BVHNode>& nodes,
+                            std::vector<uint32_t>& primitive_indices,
+                            uint32_t start, uint32_t end, int depth);
+
+    int find_best_split_axis(const std::vector<Triangle>& triangles,
+                            const std::vector<uint32_t>& indices,
+                            uint32_t start, uint32_t end);
+
+    Real compute_sah_cost(const AABB& bounds, uint32_t count);
+
+    BVHBuildConfig config_;
+    size_t node_count_;
+    size_t leaf_count_;
+    int max_depth_reached_;
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_ACCELERATION_BVH_BUILDER_H

include/are/acceleration/bvh_node.h

@@ -0,0 +1,52 @@
+/**
+ * @file bvh_node.h
+ * @brief BVH node structure
+ */
+
+#ifndef ARE_INCLUDE_ACCELERATION_BVH_NODE_H
+#define ARE_INCLUDE_ACCELERATION_BVH_NODE_H
+
+#include <are/core/types.h>
+#include <are/geometry/aabb.h>
+
+namespace are {
+
+/**
+ * @struct BVHNode
+ * @brief Node in Bounding Volume Hierarchy
+ * 
+ * Uses a compact representation for efficient GPU transfer.
+ */
+struct BVHNode {
+    AABB bounds_;                         ///< Node bounding box
+    
+    union {
+        uint32_t left_child_;             ///< Left child index (internal node)
+        uint32_t first_primitive_;        ///< First primitive index (leaf node)
+    };
+    
+    union {
+        uint32_t right_child_;            ///< Right child index (internal node)
+        uint32_t primitive_count_;        ///< Number of primitives (leaf node)
+    };
+
+    /**
+     * @brief Check if node is a leaf
+     * @return true if leaf node
+     */
+    bool is_leaf() const {
+        return primitive_count_ > 0;
+    }
+
+    /**
+     * @brief Get node surface area (for SAH)
+     * @return Surface area
+     */
+    Real surface_area() const {
+        return bounds_.surface_area();
+    }
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_ACCELERATION_BVH_NODE_H

include/are/are.h

@@ -0,0 +1,77 @@
+/**
+ * @file are.h
+ * @brief Aurora Rendering Engine - Main header file
+ * 
+ * This header includes all public interfaces of the Aurora Rendering Engine.
+ * Users only need to include this single header to access all functionality.
+ * 
+ * @author Ternary_Operator
+ * @version 1.0
+ */
+
+#ifndef ARE_INCLUDE_ARE_H
+#define ARE_INCLUDE_ARE_H
+
+// Core modules
+#include <are/core/config.h>
+#include <are/core/logger.h>
+#include <are/core/types.h>
+#include <are/core/profiler.h>
+
+// Platform modules
+#include <are/platform/window.h>
+#include <are/platform/gl_context.h>
+
+// Geometry modules
+#include <are/geometry/vertex.h>
+#include <are/geometry/triangle.h>
+#include <are/geometry/aabb.h>
+#include <are/geometry/transform.h>
+
+// Scene modules
+#include <are/scene/camera.h>
+#include <are/scene/mesh.h>
+#include <are/scene/material.h>
+#include <are/scene/light.h>
+#include <are/scene/directional_light.h>
+#include <are/scene/point_light.h>
+#include <are/scene/spot_light.h>
+#include <are/scene/scene_manager.h>
+
+// Acceleration modules
+#include <are/acceleration/bvh.h>
+
+// Renderer modules
+#include <are/renderer/renderer.h>
+#include <are/renderer/render_stats.h>
+
+// Utility modules
+#include <are/utils/image_io.h>
+#include <are/utils/math_utils.h>
+
+/**
+ * @namespace are
+ * @brief Main namespace for Aurora Rendering Engine
+ */
+namespace are {
+
+/**
+ * @brief Get the version string of the engine
+ * @return Version string in format "major.minor.patch"
+ */
+const char* get_version();
+
+/**
+ * @brief Initialize the Aurora Rendering Engine
+ * @return true if initialization succeeded, false otherwise
+ */
+bool initialize();
+
+/**
+ * @brief Shutdown the Aurora Rendering Engine
+ */
+void shutdown();
+
+} // namespace are
+
+#endif // ARE_INCLUDE_ARE_H

include/are/core/config.h

@@ -0,0 +1,104 @@
+/**
+ * @file config.h
+ * @brief Configuration system for the rendering engine
+ */
+
+#ifndef ARE_INCLUDE_CORE_CONFIG_H
+#define ARE_INCLUDE_CORE_CONFIG_H
+
+#include <are/core/types.h>
+#include <string>
+
+namespace are {
+
+/**
+ * @struct WindowConfig
+ * @brief Configuration for window creation
+ */
+struct WindowConfig {
+	int width = 1280; ///< Window width in pixels
+	int height = 720; ///< Window height in pixels
+	std::string title = "Aurora Rendering Engine"; ///< Window title
+	bool resizable = true; ///< Whether window is resizable
+	bool vsync = true; ///< Enable vertical synchronization
+	int samples = 1; ///< MSAA samples (1 = disabled)
+};
+
+/**
+ * @struct RayTracingConfig
+ * @brief Configuration for ray tracing
+ */
+struct RayTracingConfig {
+	RayTracingBackend backend = RayTracingBackend::ARE_RT_BACKEND_COMPUTE_SHADER;
+	int spp = 64; ///< Samples per pixel
+	int max_depth = 8; ///< Maximum ray bounce depth
+	bool enable_gi = true; ///< Enable global illumination
+	bool enable_ao = true; ///< Enable ambient occlusion
+	bool enable_soft_shadows = false; ///< Enable soft shadows
+	int ao_samples = 16; ///< AO sample count
+	Real ao_radius = 1.0f; ///< AO sampling radius
+};
+
+/**
+ * @struct RenderConfig
+ * @brief General rendering configuration
+ */
+struct RenderConfig {
+	ToneMappingOperator tonemap_op = ToneMappingOperator::ARE_TONEMAP_ACES;
+	Real exposure = 1.0f; ///< Exposure value for tone mapping
+	bool use_hdr = true; ///< Use HDR rendering pipeline
+	GBufferVisualizationMode gbuffer_vis_mode = GBufferVisualizationMode::ARE_GBUFFER_VIS_NONE;
+};
+
+/**
+ * @struct PerformanceConfig
+ * @brief Performance-related configuration
+ */
+struct PerformanceConfig {
+	int num_threads = 0; ///< Number of threads (0 = auto-detect)
+	bool enable_bvh_multithreading = true; ///< Use multithreading for BVH construction
+	bool enable_profiling = false; ///< Enable performance profiling
+};
+
+/**
+ * @struct PathConfig
+ * @brief File path configuration
+ */
+struct PathConfig {
+	std::string shader_dir = "shaders/"; ///< Directory containing shader files
+	std::string texture_dir = "textures/"; ///< Default texture directory
+	std::string output_dir = "output/"; ///< Default output directory
+};
+
+/**
+ * @class AreConfig
+ * @brief Main configuration class for Aurora Rendering Engine
+ */
+class AreConfig {
+public:
+	WindowConfig window; ///< Window configuration
+	RayTracingConfig ray_tracing; ///< Ray tracing configuration
+	RenderConfig render; ///< Rendering configuration
+	PerformanceConfig performance; ///< Performance configuration
+	PathConfig paths; ///< Path configuration
+
+	/**
+	 * @brief Constructor with default values
+	 */
+	AreConfig() = default;
+
+	/**
+	 * @brief Validate configuration values
+	 * @return true if configuration is valid, false otherwise
+	 */
+	bool validate() const;
+
+	/**
+	 * @brief Print configuration to console
+	 */
+	void print() const;
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_CORE_CONFIG_H

include/are/core/logger.h

@@ -0,0 +1,79 @@
+/**
+ * @file logger.h
+ * @brief Logging system for the rendering engine
+ */
+
+#ifndef ARE_INCLUDE_CORE_LOGGER_H
+#define ARE_INCLUDE_CORE_LOGGER_H
+
+#include <string>
+#include <memory>
+
+namespace are {
+
+/**
+ * @enum LogLevel
+ * @brief Logging severity levels
+ */
+enum class LogLevel {
+    ARE_LOG_TRACE,
+    ARE_LOG_DEBUG,
+    ARE_LOG_INFO,
+    ARE_LOG_WARN,
+    ARE_LOG_ERROR,
+    ARE_LOG_CRITICAL
+};
+
+/**
+ * @class Logger
+ * @brief Thread-safe logging system
+ * 
+ * This class provides a simple interface for logging messages with different
+ * severity levels. It wraps spdlog for actual logging functionality.
+ */
+class Logger {
+public:
+    /**
+     * @brief Initialize the logging system
+     * @param min_level Minimum log level to display
+     */
+    static void init(LogLevel min_level = LogLevel::ARE_LOG_INFO);
+
+    /**
+     * @brief Shutdown the logging system
+     */
+    static void shutdown();
+
+    /**
+     * @brief Log a message with file/function/line information
+     * @param level Log severity level
+     * @param file Source file name
+     * @param func Function name
+     * @param line Line number
+     * @param message Log message
+     */
+    static void log(LogLevel level, const char* file, const char* func, 
+                   int line, const std::string& message);
+
+    /**
+     * @brief Set minimum log level
+     * @param level Minimum log level to display
+     */
+    static void set_level(LogLevel level);
+
+private:
+    static std::shared_ptr<void> logger_impl_; ///< Internal logger implementation
+    static bool initialized_;                   ///< Initialization flag
+};
+
+} // namespace are
+
+// Logging macros
+#define ARE_LOG_TRACE(msg)    are::Logger::log(are::LogLevel::ARE_LOG_TRACE, __FILE__, __func__, __LINE__, msg)
+#define ARE_LOG_DEBUG(msg)    are::Logger::log(are::LogLevel::ARE_LOG_DEBUG, __FILE__, __func__, __LINE__, msg)
+#define ARE_LOG_INFO(msg)     are::Logger::log(are::LogLevel::ARE_LOG_INFO, __FILE__, __func__, __LINE__, msg)
+#define ARE_LOG_WARN(msg)     are::Logger::log(are::LogLevel::ARE_LOG_WARN, __FILE__, __func__, __LINE__, msg)
+#define ARE_LOG_ERROR(msg)    are::Logger::log(are::LogLevel::ARE_LOG_ERROR, __FILE__, __func__, __LINE__, msg)
+#define ARE_LOG_CRITICAL(msg) are::Logger::log(are::LogLevel::ARE_LOG_CRITICAL, __FILE__, __func__, __LINE__, msg)
+
+#endif // ARE_INCLUDE_CORE_LOGGER_H

include/are/core/profiler.h

@@ -0,0 +1,122 @@
+/**
+ * @file profiler.h
+ * @brief Performance profiling utilities
+ */
+
+#ifndef ARE_INCLUDE_CORE_PROFILER_H
+#define ARE_INCLUDE_CORE_PROFILER_H
+
+#include <are/core/types.h>
+#include <string>
+#include <chrono>
+#include <unordered_map>
+
+namespace are {
+
+/**
+ * @struct ProfileResult
+ * @brief Result of a profiling measurement
+ */
+struct ProfileResult {
+    std::string name_;                    ///< Profile section name
+    double duration_ms_;                  ///< Duration in milliseconds
+    uint64_t call_count_;                 ///< Number of times called
+    double avg_duration_ms_;              ///< Average duration per call
+};
+
+/**
+ * @class Profiler
+ * @brief Simple performance profiler
+ * 
+ * This class provides basic timing functionality for performance analysis.
+ * It is only active when ARE_ENABLE_PROFILING is defined.
+ */
+class Profiler {
+public:
+    /**
+     * @brief Initialize the profiler
+     */
+    static void init();
+
+    /**
+     * @brief Shutdown the profiler and print results
+     */
+    static void shutdown();
+
+    /**
+     * @brief Begin a profiling section
+     * @param name Section name
+     */
+    static void begin(const std::string& name);
+
+	/**
+     * @brief End a profiling section
+     * @param name Section name
+     */
+    static void end(const std::string& name);
+
+    /**
+     * @brief Get profiling results
+     * @return Map of section names to profile results
+     */
+    static const std::unordered_map<std::string, ProfileResult>& get_results();
+
+    /**
+     * @brief Reset all profiling data
+     */
+    static void reset();
+
+    /**
+     * @brief Print profiling results to console
+     */
+    static void print_results();
+
+private:
+    struct SectionData {
+        std::chrono::high_resolution_clock::time_point start_time_;
+        double total_duration_ms_ = 0.0;
+        uint64_t call_count_ = 0;
+    };
+
+    static std::unordered_map<std::string, SectionData> sections_;
+    static std::unordered_map<std::string, ProfileResult> results_;
+    static bool enabled_;
+};
+
+/**
+ * @class ScopedProfiler
+ * @brief RAII-style profiler for automatic timing
+ */
+class ScopedProfiler {
+public:
+    /**
+     * @brief Constructor - begins profiling
+     * @param name Section name
+     */
+    explicit ScopedProfiler(const std::string& name);
+
+    /**
+     * @brief Destructor - ends profiling
+     */
+    ~ScopedProfiler();
+
+private:
+    std::string name_;
+};
+
+} // namespace are
+
+// Profiling macros
+#ifdef ARE_ENABLE_PROFILING
+	#define ARE_PROFILE_BEGIN(name) are::Profiler::begin(name)
+    #define ARE_PROFILE_END(name)   are::Profiler::end(name)
+    #define ARE_PROFILE_SCOPE(name) are::ScopedProfiler are_profiler_##__LINE__(name)
+    #define ARE_PROFILE_FUNCTION()  ARE_PROFILE_SCOPE(__func__)
+#else
+    #define ARE_PROFILE_BEGIN(name) ((void)0)
+    #define ARE_PROFILE_END(name)   ((void)0)
+    #define ARE_PROFILE_SCOPE(name) ((void)0)
+    #define ARE_PROFILE_FUNCTION()  ((void)0)
+#endif
+
+#endif // ARE_INCLUDE_CORE_PROFILER_H

include/are/core/types.h

@@ -0,0 +1,75 @@
+/**
+ * @file types.h
+ * @brief Basic type definitions and constants
+ */
+
+#ifndef ARE_INCLUDE_CORE_TYPES_H
+#define ARE_INCLUDE_CORE_TYPES_H
+
+#include <cstdint>
+#include <glm/glm.hpp>
+
+namespace are {
+
+// Floating point precision
+using Real = float;
+
+// Common vector types
+using Vec2 = glm::vec2;
+using Vec3 = glm::vec3;
+using Vec4 = glm::vec4;
+
+using Vec2i = glm::ivec2;
+using Vec3i = glm::ivec3;
+using Vec4i = glm::ivec4;
+
+// Matrix types
+using Mat3 = glm::mat3;
+using Mat4 = glm::mat4;
+
+// Color type (RGBA)
+using Color = Vec4;
+
+// Handle types for resource management
+using MeshHandle = uint32_t;
+using MaterialHandle = uint32_t;
+using LightHandle = uint32_t;
+using TextureHandle = uint32_t;
+
+// Invalid handle constant
+constexpr uint32_t are_invalid_handle = 0xFFFFFFFF;
+
+// Mathematical constants
+constexpr Real are_pi = 3.14159265358979323846f;
+constexpr Real are_two_pi = 6.28318530717958647692f;
+constexpr Real are_inv_pi = 0.31830988618379067154f;
+constexpr Real are_inv_two_pi = 0.15915494309189533577f;
+constexpr Real are_epsilon = 1e-6f;
+
+// Ray tracing backend types
+enum class RayTracingBackend {
+    ARE_RT_BACKEND_CPU,
+    ARE_RT_BACKEND_COMPUTE_SHADER
+};
+
+// Tone mapping operators
+enum class ToneMappingOperator {
+    ARE_TONEMAP_NONE,
+    ARE_TONEMAP_REINHARD,
+    ARE_TONEMAP_ACES
+};
+
+// G-Buffer visualization modes
+enum class GBufferVisualizationMode {
+    ARE_GBUFFER_VIS_NONE,
+    ARE_GBUFFER_VIS_POSITION,
+    ARE_GBUFFER_VIS_NORMAL,
+    ARE_GBUFFER_VIS_ALBEDO,
+    ARE_GBUFFER_VIS_METALLIC,
+    ARE_GBUFFER_VIS_ROUGHNESS,
+    ARE_GBUFFER_VIS_DEPTH
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_CORE_TYPES_H

include/are/geometry/aabb.h

@@ -0,0 +1,133 @@
+/**
+ * @file aabb.h
+ * @brief Axis-Aligned Bounding Box implementation
+ */
+
+#ifndef ARE_INCLUDE_GEOMETRY_AABB_H
+#define ARE_INCLUDE_GEOMETRY_AABB_H
+
+#include <are/core/types.h>
+
+namespace are {
+
+// Forward declaration
+struct Ray;
+
+/**
+ * @class AABB
+ * @brief Axis-Aligned Bounding Box for spatial queries
+ * 
+ * Used for BVH construction and ray intersection acceleration.
+ */
+class AABB {
+public:
+    Vec3 min_;                            ///< Minimum corner
+    Vec3 max_;                            ///< Maximum corner
+
+    /**
+     * @brief Default constructor - creates invalid AABB
+     */
+    AABB();
+
+    /**
+     * @brief Construct AABB from min and max corners
+     * @param min Minimum corner
+     * @param max Maximum corner
+     */
+    AABB(const Vec3& min, const Vec3& max);
+
+    /**
+     * @brief Construct AABB containing a single point
+     * @param point Point to contain
+     */
+    explicit AABB(const Vec3& point);
+
+    /**
+     * @brief Check if AABB is valid (min <= max)
+     * @return true if valid
+     */
+    bool is_valid() const;
+
+    /**
+     * @brief Get center of AABB
+     * @return Center point
+     */
+    Vec3 center() const;
+
+    /**
+     * @brief Get size (extent) of AABB
+     * @return Size vector
+     */
+    Vec3 size() const;
+
+    /**
+     * @brief Get surface area of AABB
+     * @return Surface area
+     */
+    Real surface_area() const;
+
+    /**
+     * @brief Get volume of AABB
+     * @return Volume
+     */
+    Real volume() const;
+
+    /**
+     * @brief Get longest axis index (0=x, 1=y, 2=z)
+     * @return Axis index
+     */
+    int longest_axis() const;
+
+    /**
+     * @brief Expand AABB to include a point
+     * @param point Point to include
+     */
+    void expand(const Vec3& point);
+
+    /**
+     * @brief Expand AABB to include another AABB
+     * @param other AABB to include
+     */
+    void expand(const AABB& other);
+
+    /**
+     * @brief Check if AABB contains a point
+     * @param point Point to check
+     * @return true if point is inside AABB
+     */
+    bool contains(const Vec3& point) const;
+
+    /**
+     * @brief Check if AABB intersects another AABB
+     * @param other AABB to check
+     * @return true if AABBs intersect
+     */
+    bool intersects(const AABB& other) const;
+
+    /**
+     * @brief Ray-AABB intersection test
+     * @param ray Ray to test
+     * @param t_min Minimum t value (output)
+     * @param t_max Maximum t value (output)
+     * @return true if ray intersects AABB
+     */
+    bool intersect_ray(const Ray& ray, Real& t_min, Real& t_max) const;
+
+    /**
+     * @brief Merge two AABBs
+     * @param a First AABB
+     * @param b Second AABB
+     * @return Merged AABB containing both
+     */
+    static AABB merge(const AABB& a, const AABB& b);
+
+    /**
+     * @brief Create invalid AABB (for initialization)
+     * @return Invalid AABB
+     */
+    static AABB invalid();
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_GEOMETRY_AABB_H

include/are/geometry/transform.h

@@ -0,0 +1,120 @@
+/**
+ * @file transform.h
+ * @brief Transformation matrix utilities
+ */
+
+#ifndef ARE_INCLUDE_GEOMETRY_TRANSFORM_H
+#define ARE_INCLUDE_GEOMETRY_TRANSFORM_H
+
+#include <are/core/types.h>
+
+namespace are {
+
+/**
+ * @class Transform
+ * @brief 3D transformation (position, rotation, scale)
+ * 
+ * Provides convenient interface for building transformation matrices.
+ */
+class Transform {
+public:
+    /**
+     * @brief Default constructor (identity transform)
+     */
+    Transform();
+
+    /**
+     * @brief Construct from position, rotation, and scale
+     * @param position Translation
+     * @param rotation Rotation (Euler angles in radians)
+     * @param scale Scale factors
+     */
+    Transform(const Vec3& position, const Vec3& rotation, const Vec3& scale);
+
+    // Setters
+    void set_position(const Vec3& position);
+    void set_rotation(const Vec3& rotation);
+    void set_scale(const Vec3& scale);
+    void set_scale(Real uniform_scale);
+
+    // Getters
+    const Vec3& get_position() const { return position_; }
+    const Vec3& get_rotation() const { return rotation_; }
+    const Vec3& get_scale() const { return scale_; }
+
+    // Matrix operations
+    Mat4 get_matrix() const;
+    Mat4 get_inverse_matrix() const;
+    Mat3 get_normal_matrix() const;
+
+    /**
+     * @brief Transform a point
+     * @param point Point to transform
+     * @return Transformed point
+     */
+    Vec3 transform_point(const Vec3& point) const;
+
+    /**
+     * @brief Transform a direction (ignores translation)
+     * @param direction Direction to transform
+     * @return Transformed direction
+     */
+    Vec3 transform_direction(const Vec3& direction) const;
+
+    /**
+     * @brief Transform a normal (uses inverse transpose)
+     * @param normal Normal to transform
+     * @return Transformed normal
+     */
+    Vec3 transform_normal(const Vec3& normal) const;
+
+    /**
+     * @brief Combine two transforms
+     * @param other Other transform
+     * @return Combined transform
+     */
+    Transform operator*(const Transform& other) const;
+
+    /**
+     * @brief Create identity transform
+     * @return Identity transform
+     */
+    static Transform identity();
+
+    /**
+     * @brief Create translation transform
+     * @param translation Translation vector
+     * @return Translation transform
+     */
+    static Transform translate(const Vec3& translation);
+
+    /**
+     * @brief Create rotation transform
+     * @param rotation Rotation (Euler angles in radians)
+     * @return Rotation transform
+     */
+    static Transform rotate(const Vec3& rotation);
+
+    /**
+     * @brief Create scale transform
+     * @param scale Scale factors
+     * @return Scale transform
+     */
+    static Transform scale(const Vec3& scale);
+
+private:
+    void mark_dirty();
+    void update_matrix() const;
+
+    Vec3 position_;                       ///< Translation
+    Vec3 rotation_;                       ///< Rotation (Euler angles)
+    Vec3 scale_;                          ///< Scale factors
+
+    mutable Mat4 matrix_;                 ///< Cached transformation matrix
+    mutable Mat4 inverse_matrix_;         ///< Cached inverse matrix
+    mutable bool dirty_;                  ///< Matrix needs update
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_GEOMETRY_TRANSFORM_H

include/are/geometry/triangle.h

@@ -0,0 +1,89 @@
+/**
+ * @file triangle.h
+ * @brief Triangle primitive definition
+ */
+
+#ifndef ARE_INCLUDE_GEOMETRY_TRIANGLE_H
+#define ARE_INCLUDE_GEOMETRY_TRIANGLE_H
+
+#include <are/core/types.h>
+#include <are/geometry/vertex.h>
+#include <are/geometry/aabb.h>
+
+namespace are {
+
+// Forward declaration
+struct Ray;
+struct HitRecord;
+
+/**
+ * @struct Triangle
+ * @brief Triangle primitive for ray tracing
+ * 
+ * Stores three vertices and provides intersection testing.
+ */
+struct Triangle {
+    Vertex v0_;                           ///< First vertex
+    Vertex v1_;                           ///< Second vertex
+    Vertex v2_;                           ///< Third vertex
+    MaterialHandle material_;             ///< Material handle
+
+    /**
+     * @brief Default constructor
+     */
+    Triangle();
+
+    /**
+     * @brief Construct triangle from three vertices
+     * @param v0 First vertex
+     * @param v1 Second vertex
+     * @param v2 Third vertex
+     * @param material Material handle
+     */
+    Triangle(const Vertex& v0, const Vertex& v1, const Vertex& v2,
+            MaterialHandle material = are_invalid_handle);
+
+    /**
+     * @brief Get triangle centroid
+     * @return Centroid position
+     */
+    Vec3 centroid() const;
+
+    /**
+     * @brief Get triangle normal (geometric normal)
+     * @return Normal vector (normalized)
+     */
+    Vec3 normal() const;
+
+    /**
+     * @brief Get triangle area
+     * @return Area
+     */
+    Real area() const;
+
+    /**
+     * @brief Compute axis-aligned bounding box
+     * @return AABB containing the triangle
+     */
+    AABB compute_aabb() const;
+
+    /**
+     * @brief Ray-triangle intersection test (Möller-Trumbore algorithm)
+     * @param ray Ray to test
+     * @param hit Output hit record
+     * @return true if intersection occurred
+     */
+    bool intersect(const Ray& ray, HitRecord& hit) const;
+
+    /**
+     * @brief Fast ray-triangle intersection test (no hit record)
+     * @param ray Ray to test
+     * @param t_max Maximum t value
+     * @return true if intersection occurred
+     */
+    bool intersect_fast(const Ray& ray, Real t_max) const;
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_GEOMETRY_TRIANGLE_H

include/are/geometry/vertex.h

@@ -0,0 +1,110 @@
+/**
+ * @file vertex.h
+ * @brief Vertex data structure definition
+ */
+
+#ifndef ARE_INCLUDE_GEOMETRY_VERTEX_H
+#define ARE_INCLUDE_GEOMETRY_VERTEX_H
+
+#include <are/core/types.h>
+
+namespace are {
+
+/**
+ * @struct Vertex
+ * @brief Standard vertex structure for mesh data
+ * 
+ * Contains position, normal, texture coordinates, and tangent information
+ * for PBR rendering pipeline.
+ */
+struct Vertex {
+    Vec3 position_;///< Vertex position in object space
+    Vec3 normal_;                         ///< Vertex normal (normalized)
+    Vec2 texcoord_;                       ///< Texture coordinates (UV)
+    Vec3 tangent_;                        ///< Tangent vector for normal mapping
+
+    Vertex() = default;
+
+    /**
+     * @brief Construct vertex with position only
+     * @param pos Position
+     */
+    explicit Vertex(const Vec3& pos);
+
+    /**
+     * @brief Construct vertex with position and normal
+     * @param pos Position
+     * @param norm Normal
+     */
+    Vertex(const Vec3& pos, const Vec3& norm);
+
+    /**
+     * @brief Construct vertex with position, normal, and texcoord
+     * @param pos Position
+     * @param norm Normal
+     * @param uv Texture coordinates
+     */
+    Vertex(const Vec3& pos, const Vec3& norm, const Vec2& uv);
+
+    /**
+     * @brief Construct vertex with all attributes
+     * @param pos Position
+     * @param norm Normal
+     * @param uv Texture coordinates
+     * @param tan Tangent
+     */
+    Vertex(const Vec3& pos, const Vec3& norm, const Vec2& uv, const Vec3& tan);
+
+    /**
+     * @brief Interpolate between two vertices
+     * @param a First vertex
+     * @param b Second vertex
+     * @param t Interpolation factor [0, 1]
+     * @return Interpolated vertex
+     */
+    static Vertex lerp(const Vertex& a, const Vertex& b, Real t);
+};
+
+/**
+ * @brief Get vertex attribute stride for OpenGL
+ * @return Size of Vertex structure in bytes
+ */
+constexpr size_t get_vertex_stride() {
+    return sizeof(Vertex);
+}
+
+/**
+ * @brief Get offset of position attribute
+ * @return Offset in bytes
+ */
+constexpr size_t get_position_offset() {
+    return offsetof(Vertex, position_);
+}
+
+/**
+ * @brief Get offset of normal attribute
+ * @return Offset in bytes
+ */
+constexpr size_t get_normal_offset() {
+    return offsetof(Vertex, normal_);
+}
+
+/**
+ * @brief Get offset of texcoord attribute
+ * @return Offset in bytes
+ */
+constexpr size_t get_texcoord_offset() {
+    return offsetof(Vertex, texcoord_);
+}
+
+/**
+ * @brief Get offset of tangent attribute
+ * @return Offset in bytes
+ */
+constexpr size_t get_tangent_offset() {
+    return offsetof(Vertex, tangent_);
+}
+
+} // namespace are
+
+#endif // ARE_INCLUDE_GEOMETRY_VERTEX_H

include/are/platform/gl_context.h

@@ -0,0 +1,90 @@
+/**
+ * @file gl_context.h
+ * @brief OpenGL context management
+ */
+
+#ifndef ARE_INCLUDE_PLATFORM_GL_CONTEXT_H
+#define ARE_INCLUDE_PLATFORM_GL_CONTEXT_H
+
+#include <are/core/types.h>
+#include <string>
+
+namespace are {
+
+/**
+ * @class GLContext
+ * @brief OpenGL context initialization and management
+ * 
+ * Handles GLAD initialization and provides OpenGL utility functions.
+ */
+class GLContext {
+public:
+    /**
+     * @brief Initialize OpenGL context (load function pointers)
+     * @return true if initialization succeeded
+     */
+    static bool initialize();
+
+    /**
+     * @brief Check if context is initialized
+     * @return true if initialized
+     */
+    static bool is_initialized();
+
+    /**
+     * @brief Get OpenGL version string
+     * @return Version string
+     */
+    static std::string get_version();
+
+    /**
+     * @brief Get OpenGL renderer string
+     * @return Renderer string
+     */
+    static std::string get_renderer();
+
+    /**
+     * @brief Get OpenGL vendor string
+     * @return Vendor string
+     */
+    static std::string get_vendor();
+
+    /**
+     * @brief Check if OpenGL extension is supported
+     * @param extension Extension name
+     * @return true if supported
+     */
+    static bool is_extension_supported(const std::string& extension);
+
+    /**
+     * @brief Print OpenGL information to console
+     */
+    static void print_info();
+
+    /**
+     * @brief Check for OpenGL errors
+     * @param file Source file
+     * @param line Line number
+     * @return true if error occurred
+     */
+    static bool check_error(const char* file, int line);
+
+    /**
+     * @brief Clear all OpenGL errors
+     */
+    static void clear_errors();
+
+private:
+    static bool initialized_;             ///< Initialization flag
+};
+
+} // namespace are
+
+// OpenGL error checking macro
+#ifdef ARE_ENABLE_DEBUG_VIS
+    #define ARE_GL_CHECK() are::GLContext::check_error(__FILE__, __LINE__)
+#else
+    #define ARE_GL_CHECK() ((void)0)
+#endif
+
+#endif // ARE_INCLUDE_PLATFORM_GL_CONTEXT_H

include/are/platform/window.h

@@ -0,0 +1,84 @@
+/**
+ * @file window.h
+ * @brief Window management using GLFW
+ */
+
+#ifndef ARE_INCLUDE_PLATFORM_WINDOW_H
+#define ARE_INCLUDE_PLATFORM_WINDOW_H
+
+#include <are/core/config.h>
+#include <are/core/types.h>
+#include <string>
+
+// Forward declare GLFW types to avoid including GLFW in header
+struct GLFWwindow;
+
+namespace are {
+
+/**
+ * @class Window
+ * @brief GLFW window wrapper
+ * 
+ * Manages window creation, input handling, and OpenGL context.
+ */
+class Window {
+public:
+    /**
+     * @brief Constructor
+     * @param config Window configuration
+     */
+    explicit Window(const WindowConfig& config);
+
+    /**
+     * @brief Destructor
+     */
+    ~Window();
+
+    // Window control
+    bool should_close() const;
+    void set_should_close(bool should_close);
+    void swap_buffers();
+    void poll_events();
+
+    // Window properties
+    int get_width() const;
+    int get_height() const;
+    Real get_aspect_ratio() const;
+    const std::string& get_title() const;
+
+    void set_title(const std::string& title);
+    void set_size(int width, int height);
+
+    // Framebuffer size (may differ from window size on high-DPI displays)
+    void get_framebuffer_size(int& width, int& height) const;
+
+    // VSync control
+    void set_vsync(bool enabled);
+    bool get_vsync() const;
+
+    // Input queries (basic support)
+    bool is_key_pressed(int key) const;
+    bool is_mouse_button_pressed(int button) const;
+    void get_cursor_pos(double& x, double& y) const;
+
+    // Internal
+    GLFWwindow* get_native_window() const { return window_; }
+
+private:
+    void initialize_glfw();
+    void create_window();
+    void setup_callbacks();
+
+    static void framebuffer_size_callback(GLFWwindow* window, int width, int height);
+    static void error_callback(int error, const char* description);
+
+    GLFWwindow* window_;                  ///< GLFW window handle
+    WindowConfig config_;                 ///< Window configuration
+    bool vsync_enabled_;                  ///< VSync state
+
+    static int instance_count_;           ///< Number of Window instances
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_PLATFORM_WINDOW_H

include/are/rasterizer/rasterizer.h

@@ -0,0 +1,88 @@
+/**
+ * @file rasterizer.h
+ * @brief Rasterization pipeline for G-Buffer generation
+ */
+
+#ifndef ARE_INCLUDE_RASTERIZER_RASTERIZER_H
+#define ARE_INCLUDE_RASTERIZER_RASTERIZER_H
+
+#include <are/core/types.h>
+#include <are/core/config.h>
+#include <memory>
+
+namespace are {
+
+// Forward declarations
+class GBuffer;
+class ShaderProgram;
+class SceneManager;
+class Camera;
+class Mesh;
+
+/**
+ * @class Rasterizer
+ * @brief OpenGL rasterization pipeline
+ * 
+ * Renders scene geometry to G-Buffer using traditional rasterization.
+ */
+class Rasterizer {
+public:
+    /**
+     * @brief Constructor
+     * @param width Framebuffer width
+     * @param height Framebuffer height
+     */
+    Rasterizer(int width, int height);
+
+    /**
+     * @brief Destructor
+     */
+    ~Rasterizer();
+
+    /**
+     * @brief Resize framebuffer
+     * @param width New width
+     * @param height New height
+     */
+    void resize(int width, int height);
+
+    /**
+     * @brief Render scene to G-Buffer
+     * @param scene Scene manager
+     * @param camera Camera
+     */
+    void render_gbuffer(const SceneManager& scene, const Camera& camera);
+
+    /**
+     * @brief Get G-Buffer
+     * @return G-Buffer reference
+     */
+    GBuffer& get_gbuffer();
+    const GBuffer& get_gbuffer() const;
+
+    /**
+     * @brief Upload mesh data to GPU
+     * @param mesh Mesh to upload
+     */
+    void upload_mesh(Mesh& mesh);
+
+    /**
+     * @brief Delete mesh GPU resources
+     * @param mesh Mesh to delete
+     */
+    void delete_mesh(Mesh& mesh);
+
+private:
+    void initialize_shaders(const std::string& shader_dir);
+    void setup_mesh_buffers(Mesh& mesh);
+
+    std::unique_ptr<GBuffer> gbuffer_;    ///< G-Buffer
+    std::unique_ptr<ShaderProgram> gbuffer_shader_; ///< G-Buffer shader
+    
+    int width_;                           ///< Framebuffer width
+    int height_;                          ///< Framebuffer height
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RASTERIZER_RASTERIZER_H

include/are/rasterizer/shader_program.h

@@ -0,0 +1,111 @@
+/**
+ * @file shader_program.h
+ * @brief OpenGL shader program wrapper
+ */
+
+#ifndef ARE_INCLUDE_RASTERIZER_SHADER_PROGRAM_H
+#define ARE_INCLUDE_RASTERIZER_SHADER_PROGRAM_H
+
+#include <are/core/types.h>
+#include <string>
+#include <unordered_map>
+
+namespace are {
+
+/**
+ * @enum ShaderType
+ * @brief Shader stage types
+ */
+enum class ShaderType {
+    ARE_SHADER_VERTEX,
+    ARE_SHADER_FRAGMENT,
+    ARE_SHADER_COMPUTE
+};
+
+/**
+ * @class ShaderProgram
+ * @brief OpenGL shader program management
+ */
+class ShaderProgram {
+public:
+    /**
+     * @brief Constructor
+     */
+    ShaderProgram();
+
+    /**
+     * @brief Destructor
+     */
+    ~ShaderProgram();
+
+    /**
+     * @brief Load and compile shader from file
+     * @param type Shader type
+     * @param filepath Shader file path
+     * @return true if compilation succeeded
+     */
+    bool load_shader(ShaderType type, const std::string& filepath);
+
+    /**
+     * @brief Compile shader from source string
+     * @param type Shader type
+     * @param source Shader source code
+     * @return true if compilation succeeded
+     */
+    bool compile_shader(ShaderType type, const std::string& source);
+
+    /**
+     * @brief Link shader program
+     * @return true if linking succeeded
+     */
+    bool link();
+
+    /**
+     * @brief Use this shader program
+     */
+    void use() const;
+
+    /**
+     * @brief Check if program is valid
+     * @return true if valid
+     */
+    bool is_valid() const { return program_ != 0 && linked_; }
+
+    /**
+     * @brief Get OpenGL program ID
+     * @return Program ID
+     */
+    uint32_t get_program() const { return program_; }
+
+    // Uniform setters
+    void set_uniform(const std::string& name, int value);
+    void set_uniform(const std::string& name, float value);
+    void set_uniform(const std::string& name, const Vec2& value);
+    void set_uniform(const std::string& name, const Vec3& value);
+    void set_uniform(const std::string& name, const Vec4& value);
+    void set_uniform(const std::string& name, const Mat3& value);
+    void set_uniform(const std::string& name, const Mat4& value);
+
+    /**
+     * @brief Get uniform location (cached)
+     * @param name Uniform name
+     * @return Uniform location (-1 if not found)
+     */
+    int get_uniform_location(const std::string& name);
+
+private:
+    bool check_compile_errors(uint32_t shader, ShaderType type);
+    bool check_link_errors();
+
+    uint32_t program_;                    ///< OpenGL program ID
+    uint32_t vertex_shader_;              ///< Vertex shader ID
+    uint32_t fragment_shader_;            ///< Fragment shader ID
+    uint32_t compute_shader_;             ///< Compute shader ID
+    
+    bool linked_;                         ///< Link status
+    std::unordered_map<std::string, int> uniform_cache_; ///< Uniform location cache
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RASTERIZER_SHADER_PROGRAM_H

include/are/raytracer/compute_raytracer.h

@@ -0,0 +1,71 @@
+/**
+ * @file compute_raytracer.h
+ * @brief GPU compute shader ray tracing implementation
+ */
+
+#ifndef ARE_INCLUDE_RAYTRACER_COMPUTE_RAYTRACER_H
+#define ARE_INCLUDE_RAYTRACER_COMPUTE_RAYTRACER_H
+
+#include <are/raytracer/raytracer.h>
+#include <memory>
+
+namespace are {
+
+// Forward declarations
+class ShaderProgram;
+
+/**
+ * @class ComputeRayTracer
+ * @brief GPU-based ray tracing using compute shaders
+ */
+class ComputeRayTracer : public RayTracer {
+public:
+    /**
+     * @brief Constructor
+     * @param config Ray tracing configuration
+     */
+    explicit ComputeRayTracer(const RayTracingConfig& config);
+
+    /**
+     * @brief Destructor
+     */
+    ~ComputeRayTracer() override;
+
+    /**
+     * @brief Render scene using compute shader ray tracing
+     * @param scene Scene manager
+     * @param camera Camera
+     * @param gbuffer G-Buffer (optional)
+     * @param output Output texture ID
+     */
+    void render(const SceneManager& scene, 
+               const Camera& camera,
+               const GBuffer* gbuffer,
+               uint32_t output_texture) override;
+
+    /**
+     * @brief Update BVH
+     * @param bvh BVH reference
+     */
+    void update_bvh(const BVH& bvh) override;
+
+private:
+    void initialize_compute_shader(const std::string& shader_dir);
+    void upload_scene_data(const SceneManager& scene);
+    void upload_bvh_data(const BVH& bvh);
+    void upload_camera_data(const Camera& camera);
+
+    std::unique_ptr<ShaderProgram> compute_shader_; ///< Ray tracing compute shader
+
+    // GPU buffers (SSBOs)
+    uint32_t bvh_buffer_;                 ///< BVH nodes buffer
+    uint32_t triangle_buffer_;            ///< Triangle data buffer
+    uint32_t material_buffer_;            ///< Material data buffer
+    uint32_t light_buffer_;               ///< Light data buffer
+
+    bool buffers_initialized_;            ///< Buffer initialization flag
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RAYTRACER_COMPUTE_RAYTRACER_H

include/are/raytracer/cpu_raytracer.h

@@ -0,0 +1,103 @@
+/**
+ * @file cpu_raytracer.h
+ * @brief CPU-based ray tracing implementation
+ */
+
+#ifndef ARE_INCLUDE_RAYTRACER_CPU_RAYTRACER_H
+#define ARE_INCLUDE_RAYTRACER_CPU_RAYTRACER_H
+
+#include <are/raytracer/raytracer.h>
+#include <are/raytracer/ray.h>
+#include <are/raytracer/hit_record.h>
+#include <vector>
+
+namespace are {
+
+/**
+ * @class CPURayTracer
+ * @brief CPU-based ray tracing implementation
+ * 
+ * Uses multithreading for parallel ray tracing on CPU.
+ */
+class CPURayTracer : public RayTracer {
+public:
+    /**
+     * @brief Constructor
+     * @param config Ray tracing configuration
+     */
+    explicit CPURayTracer(const RayTracingConfig& config);
+
+    /**
+     * @brief Destructor
+     */
+    ~CPURayTracer() override;
+
+    /**
+     * @brief Render scene using CPU ray tracing
+     * @param scene Scene manager
+     * @param camera Camera
+     * @param gbuffer G-Buffer (optional)
+     * @param output Output texture ID
+     */
+    void render(const SceneManager& scene, 
+               const Camera& camera,
+               const GBuffer* gbuffer,
+               uint32_t output_texture) override;
+
+    /**
+     * @brief Update BVH
+     * @param bvh BVH reference
+     */
+    void update_bvh(const BVH& bvh) override;
+
+private:
+    /**
+     * @brief Trace a single ray
+     * @param ray Ray to trace
+     * @param depth Current recursion depth
+     * @return Ray color
+     */
+    Vec3 trace_ray(const Ray& ray, int depth);
+
+    /**
+     * @brief Shade hit point
+     * @param hit Hit record
+     * @param ray Incident ray
+     * @param depth Current recursion depth
+     * @return Shaded color
+     */
+    Vec3 shade(const HitRecord& hit, const Ray& ray, int depth);
+
+    /**
+     * @brief Compute direct lighting
+     * @param hit Hit record
+     * @return Direct lighting contribution
+     */
+    Vec3 compute_direct_lighting(const HitRecord& hit);
+
+    /**
+     * @brief Compute ambient occlusion
+     * @param hit Hit record
+     * @return AO factor [0, 1]
+     */
+    Real compute_ambient_occlusion(const HitRecord& hit);
+
+    /**
+     * @brief Check shadow ray
+     * @param origin Shadow ray origin
+     * @param direction Shadow ray direction
+     * @param max_distance Maximum distance
+     * @return true if in shadow
+     */
+    bool is_in_shadow(const Vec3& origin, const Vec3& direction, Real max_distance);
+
+    const BVH* bvh_;                      ///< BVH reference
+    const SceneManager* scene_;           ///< Scene reference
+    std::vector<Vec3> framebuffer_;       ///< CPU framebuffer (HDR)
+    int width_;                           ///< Framebuffer width
+    int height_;                          ///< Framebuffer height
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RAYTRACER_CPU_RAYTRACER_H

include/are/raytracer/hit_record.h

@@ -0,0 +1,48 @@
+/**
+ * @file hit_record.h
+ * @brief Ray-surface intersection record
+ */
+
+#ifndef ARE_INCLUDE_RAYTRACER_HIT_RECORD_H
+#define ARE_INCLUDE_RAYTRACER_HIT_RECORD_H
+
+#include <are/core/types.h>
+
+namespace are {
+
+/**
+ * @struct HitRecord
+ * @brief Information about ray-surface intersection
+ */
+struct HitRecord {
+    Vec3 position_;                       ///< Hit position in world space
+    Vec3 normal_;                         ///< Surface normal at hit point
+    Vec2 texcoord_;                       ///< Texture coordinates at hit point
+    Vec3 tangent_;                        ///< Tangent vector at hit point
+    Real t_;                              ///< Ray parameter at hit point
+    MaterialHandle material_;             ///< Material at hit point
+    uint32_t triangle_index_;             ///< Triangle index that was hit
+    bool front_face_;                     ///< Whether ray hit front face
+
+    /**
+     * @brief Default constructor
+     */
+    HitRecord();
+
+    /**
+     * @brief Set face normal based on ray direction
+     * @param ray_direction Ray direction
+     * @param outward_normal Outward-facing normal
+     */
+    void set_face_normal(const Vec3& ray_direction, const Vec3& outward_normal);
+
+    /**
+     * @brief Check if hit record is valid
+     * @return true if hit occurred
+     */
+    bool is_valid() const;
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RAYTRACER_HIT_RECORD_H

include/are/raytracer/ray.h

@@ -0,0 +1,55 @@
+/**
+ * @file ray.h
+ * @brief Ray structure for ray tracing
+ */
+
+#ifndef ARE_INCLUDE_RAYTRACER_RAY_H
+#define ARE_INCLUDE_RAYTRACER_RAY_H
+
+#include <are/core/types.h>
+
+namespace are {
+
+/**
+ * @struct Ray
+ * @brief Ray representation for ray tracing
+ */
+struct Ray {
+    Vec3 origin_;                         ///< Ray origin
+    Vec3 direction_;                      ///< Ray direction (normalized)
+    Real t_min_;                          ///< Minimum t value
+    Real t_max_;                          ///< Maximum t value
+
+    /**
+     * @brief Default constructor
+     */
+    Ray();
+
+    /**
+     * @brief Construct ray with origin and direction
+     * @param origin Ray origin
+     * @param direction Ray direction (will be normalized)
+     * @param t_min Minimum t value
+     * @param t_max Maximum t value
+     */
+    Ray(const Vec3& origin, const Vec3& direction, 
+        Real t_min = are_epsilon, Real t_max = 1e30f);
+
+    /**
+     * @brief Evaluate ray at parameter t
+     * @param t Parameter value
+     * @return Point on ray
+     */
+    Vec3 at(Real t) const;
+
+    /**
+     * @brief Check if t is within valid range
+     * @param t Parameter value
+     * @return true if t is valid
+     */
+    bool is_valid_t(Real t) const;
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RAYTRACER_RAY_H

include/are/raytracer/raytracer.h

@@ -0,0 +1,75 @@
+/**
+ * @file raytracer.h
+ * @brief Ray tracing interface
+ */
+
+#ifndef ARE_INCLUDE_RAYTRACER_RAYTRACER_H
+#define ARE_INCLUDE_RAYTRACER_RAYTRACER_H
+
+#include <are/core/types.h>
+#include <are/core/config.h>
+
+namespace are {
+
+// Forward declarations
+class SceneManager;
+class Camera;
+class GBuffer;
+class BVH;
+
+/**
+ * @class RayTracer
+ * @brief Abstract ray tracing interface
+ * 
+ * Base class for CPU and GPU ray tracing implementations.
+ */
+class RayTracer {
+public:
+    /**
+     * @brief Constructor
+     * @param config Ray tracing configuration
+     */
+    explicit RayTracer(const RayTracingConfig& config);
+
+    /**
+     * @brief Virtual destructor
+     */
+    virtual ~RayTracer() = default;
+
+    /**
+     * @brief Render scene using ray tracing
+     * @param scene Scene manager
+     * @param camera Camera
+     * @param gbuffer G-Buffer (optional, for hybrid rendering)
+     * @param output Output texture ID
+     */
+    virtual void render(const SceneManager& scene, 
+                       const Camera& camera,
+                       const GBuffer* gbuffer,
+                       uint32_t output_texture) = 0;
+
+    /**
+     * @brief Update BVH
+     * @param bvh BVH reference
+     */
+    virtual void update_bvh(const BVH& bvh) = 0;
+
+    /**
+     * @brief Set configuration
+     * @param config New configuration
+     */
+    virtual void set_config(const RayTracingConfig& config);
+
+    /**
+     * @brief Get configuration
+     * @return Current configuration
+     */
+    const RayTracingConfig& get_config() const { return config_; }
+
+protected:
+    RayTracingConfig config_;             ///< Ray tracing configuration
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RAYTRACER_RAYTRACER_H

include/are/renderer/gbuffer.h

@@ -0,0 +1,102 @@
+/**
+ * @file gbuffer.h
+ * @brief G-Buffer management for deferred rendering
+ */
+
+#ifndef ARE_INCLUDE_RASTERIZER_GBUFFER_H
+#define ARE_INCLUDE_RASTERIZER_GBUFFER_H
+
+#include <are/core/types.h>
+#include <cstdint>
+
+namespace are {
+
+/**
+ * @class GBuffer
+ * @brief G-Buffer for deferred rendering
+ * 
+ * Contains multiple render targets for position, normal, albedo, etc.
+ */
+class GBuffer {
+public:
+    /**
+     * @brief Constructor
+     * @param width Buffer width
+     * @param height Buffer height
+     */
+    GBuffer(int width, int height);
+
+    /**
+     * @brief Destructor
+     */
+    ~GBuffer();
+
+    /**
+     * @brief Resize G-Buffer
+     * @param width New width
+     * @param height New height
+     */
+    void resize(int width, int height);
+
+    /**
+     * @brief Bind G-Buffer for rendering
+     */
+    void bind();
+
+    /**
+     * @brief Unbind G-Buffer
+     */
+    void unbind();
+
+    /**
+     * @brief Clear all buffers
+     */
+    void clear();
+
+    /**
+     * @brief Bind texture for reading
+     * @param index Texture index (0=position, 1=normal, 2=albedo, etc.)
+     * @param texture_unit Texture unit to bind to
+     */
+    void bind_texture(int index, int texture_unit);
+
+    // Texture getters
+    uint32_t get_position_texture() const { return position_texture_; }
+    uint32_t get_normal_texture() const { return normal_texture_; }
+    uint32_t get_albedo_texture() const { return albedo_texture_; }
+    uint32_t get_material_texture() const { return material_texture_; }
+    uint32_t get_depth_texture() const { return depth_texture_; }
+
+    // Dimensions
+    int get_width() const { return width_; }
+    int get_height() const { return height_; }
+
+    /**
+     * @brief Read pixel data from G-Buffer
+     * @param index Buffer index
+     * @param data Output data pointer
+     */
+    void read_pixels(int index, void* data);
+
+private:
+    void create_textures();
+    void delete_textures();
+    void create_framebuffer();
+
+    uint32_t fbo_;                        ///< Framebuffer object
+    uint32_t rbo_depth_;                  ///< Depth renderbuffer
+
+    // G-Buffer textures
+    uint32_t position_texture_;           ///< World position (RGB16F)
+    uint32_t normal_texture_;             ///< World normal (RGB16F)
+    uint32_t albedo_texture_;             ///< Albedo + Metallic (RGBA8)
+    uint32_t material_texture_;           ///< Roughness + AO (RG8)
+    uint32_t depth_texture_;              ///< Depth (R32F)
+
+    int width_;                           ///< Buffer width
+    int height_;                          ///< Buffer height
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RASTERIZER_GBUFFER_H

include/are/renderer/render_context.h

@@ -0,0 +1,51 @@
+/**
+ * @file render_context.h
+ * @brief Rendering context and state management
+ */
+
+#ifndef ARE_INCLUDE_RENDERER_RENDER_CONTEXT_H
+#define ARE_INCLUDE_RENDERER_RENDER_CONTEXT_H
+
+#include <are/core/types.h>
+#include <are/core/config.h>
+
+namespace are {
+
+/**
+ * @struct RenderContext
+ * @brief Rendering context information
+ * 
+ * Contains current rendering state and frame information.
+ */
+struct RenderContext {
+    int frame_number_;                    ///< Current frame number
+    double time_;                         ///< Total elapsed time in seconds
+    double delta_time_;                   ///< Time since last frame
+    
+    int viewport_width_;                  ///< Viewport width
+    int viewport_height_;                 ///< Viewport height
+    
+    RayTracingBackend current_backend_;   ///< Current ray tracing backend
+    bool scene_dirty_;                    ///< Scene needs BVH rebuild
+    bool camera_moved_;                   ///< Camera moved this frame
+
+    /**
+     * @brief Constructor
+     */
+    RenderContext();
+
+    /**
+     * @brief Reset context
+     */
+    void reset();
+
+    /**
+     * @brief Update frame timing
+     * @param current_time Current time in seconds
+     */
+    void update_timing(double current_time);
+};
+
+} // namespace are
+
+#endif // ARE_INCLUDE_RENDERER_RENDER_CONTEXT_H