init

01/代码框架/CMakeLists.txt

@@ -0,0 +1,11 @@
+cmake_minimum_required(VERSION 3.10)
+project(Rasterizer)
+
+find_package(OpenCV REQUIRED)
+
+set(CMAKE_CXX_STANDARD 17)
+
+include_directories(/usr/local/include)
+
+add_executable(Rasterizer main.cpp rasterizer.hpp rasterizer.cpp Triangle.hpp Triangle.cpp)
+target_link_libraries(Rasterizer ${OpenCV_LIBRARIES})

01/代码框架/Triangle.cpp

@@ -0,0 +1,51 @@
+//
+// Created by LEI XU on 4/11/19.
+//
+
+#include "Triangle.hpp"
+#include <algorithm>
+#include <array>
+#include <stdexcept>
+
+Triangle::Triangle()
+{
+    v[0] << 0, 0, 0;
+    v[1] << 0, 0, 0;
+    v[2] << 0, 0, 0;
+
+    color[0] << 0.0, 0.0, 0.0;
+    color[1] << 0.0, 0.0, 0.0;
+    color[2] << 0.0, 0.0, 0.0;
+
+    tex_coords[0] << 0.0, 0.0;
+    tex_coords[1] << 0.0, 0.0;
+    tex_coords[2] << 0.0, 0.0;
+}
+
+void Triangle::setVertex(int ind, Eigen::Vector3f ver) { v[ind] = ver; }
+
+void Triangle::setNormal(int ind, Vector3f n) { normal[ind] = n; }
+
+void Triangle::setColor(int ind, float r, float g, float b)
+{
+    if ((r < 0.0) || (r > 255.) || (g < 0.0) || (g > 255.) || (b < 0.0) ||
+        (b > 255.)) {
+        throw std::runtime_error("Invalid color values");
+    }
+
+    color[ind] = Vector3f((float)r / 255., (float)g / 255., (float)b / 255.);
+    return;
+}
+void Triangle::setTexCoord(int ind, float s, float t)
+{
+    tex_coords[ind] = Vector2f(s, t);
+}
+
+std::array<Vector4f, 3> Triangle::toVector4() const
+{
+    std::array<Vector4f, 3> res;
+    std::transform(std::begin(v), std::end(v), res.begin(), [](auto& vec) {
+        return Vector4f(vec.x(), vec.y(), vec.z(), 1.f);
+    });
+    return res;
+}

01/代码框架/Triangle.hpp

@@ -0,0 +1,36 @@
+//
+// Created by LEI XU on 4/11/19.
+//
+
+#ifndef RASTERIZER_TRIANGLE_H
+#define RASTERIZER_TRIANGLE_H
+
+#include <eigen3/Eigen/Eigen>
+
+using namespace Eigen;
+class Triangle
+{
+  public:
+    Vector3f v[3]; /*the original coordinates of the triangle, v0, v1, v2 in
+                      counter clockwise order*/
+    /*Per vertex values*/
+    Vector3f color[3];      // color at each vertex;
+    Vector2f tex_coords[3]; // texture u,v
+    Vector3f normal[3];     // normal vector for each vertex
+
+    // Texture *tex;
+    Triangle();
+
+    Eigen::Vector3f a() const { return v[0]; }
+    Eigen::Vector3f b() const { return v[1]; }
+    Eigen::Vector3f c() const { return v[2]; }
+
+    void setVertex(int ind, Vector3f ver); /*set i-th vertex coordinates */
+    void setNormal(int ind, Vector3f n);   /*set i-th vertex normal vector*/
+    void setColor(int ind, float r, float g, float b); /*set i-th vertex color*/
+    void setTexCoord(int ind, float s,
+                     float t); /*set i-th vertex texture coordinate*/
+    std::array<Vector4f, 3> toVector4() const;
+};
+
+#endif // RASTERIZER_TRIANGLE_H

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+# define PLATFORM_ID
+
+#endif
+
+/* For windows compilers MSVC and Intel we can determine
+   the architecture of the compiler being used.  This is because
+   the compilers do not have flags that can change the architecture,
+   but rather depend on which compiler is being used
+*/
+#if defined(_WIN32) && defined(_MSC_VER)
+# if defined(_M_IA64)
+#  define ARCHITECTURE_ID "IA64"
+
+# elif defined(_M_X64) || defined(_M_AMD64)
+#  define ARCHITECTURE_ID "x64"
+
+# elif defined(_M_IX86)
+#  define ARCHITECTURE_ID "X86"
+
+# elif defined(_M_ARM64)
+#  define ARCHITECTURE_ID "ARM64"
+
+# elif defined(_M_ARM)
+#  if _M_ARM == 4
+#   define ARCHITECTURE_ID "ARMV4I"
+#  elif _M_ARM == 5
+#   define ARCHITECTURE_ID "ARMV5I"
+#  else
+#   define ARCHITECTURE_ID "ARMV" STRINGIFY(_M_ARM)
+#  endif
+
+# elif defined(_M_MIPS)
+#  define ARCHITECTURE_ID "MIPS"
+
+# elif defined(_M_SH)
+#  define ARCHITECTURE_ID "SHx"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__WATCOMC__)
+# if defined(_M_I86)
+#  define ARCHITECTURE_ID "I86"
+
+# elif defined(_M_IX86)
+#  define ARCHITECTURE_ID "X86"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# if defined(__ICCARM__)
+#  define ARCHITECTURE_ID "ARM"
+
+# elif defined(__ICCAVR__)
+#  define ARCHITECTURE_ID "AVR"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+#else
+#  define ARCHITECTURE_ID
+#endif
+
+/* Convert integer to decimal digit literals.  */
+#define DEC(n)                   \
+  ('0' + (((n) / 10000000)%10)), \
+  ('0' + (((n) / 1000000)%10)),  \
+  ('0' + (((n) / 100000)%10)),   \
+  ('0' + (((n) / 10000)%10)),    \
+  ('0' + (((n) / 1000)%10)),     \
+  ('0' + (((n) / 100)%10)),      \
+  ('0' + (((n) / 10)%10)),       \
+  ('0' +  ((n) % 10))
+
+/* Convert integer to hex digit literals.  */
+#define HEX(n)             \
+  ('0' + ((n)>>28 & 0xF)), \
+  ('0' + ((n)>>24 & 0xF)), \
+  ('0' + ((n)>>20 & 0xF)), \
+  ('0' + ((n)>>16 & 0xF)), \
+  ('0' + ((n)>>12 & 0xF)), \
+  ('0' + ((n)>>8  & 0xF)), \
+  ('0' + ((n)>>4  & 0xF)), \
+  ('0' + ((n)     & 0xF))
+
+/* Construct a string literal encoding the version number components. */
+#ifdef COMPILER_VERSION_MAJOR
+char const info_version[] = {
+  'I', 'N', 'F', 'O', ':',
+  'c','o','m','p','i','l','e','r','_','v','e','r','s','i','o','n','[',
+  COMPILER_VERSION_MAJOR,
+# ifdef COMPILER_VERSION_MINOR
+  '.', COMPILER_VERSION_MINOR,
+#  ifdef COMPILER_VERSION_PATCH
+   '.', COMPILER_VERSION_PATCH,
+#   ifdef COMPILER_VERSION_TWEAK
+    '.', COMPILER_VERSION_TWEAK,
+#   endif
+#  endif
+# endif
+  ']','\0'};
+#endif
+
+/* Construct a string literal encoding the internal version number. */
+#ifdef COMPILER_VERSION_INTERNAL
+char const info_version_internal[] = {
+  'I', 'N', 'F', 'O', ':',
+  'c','o','m','p','i','l','e','r','_','v','e','r','s','i','o','n','_',
+  'i','n','t','e','r','n','a','l','[',
+  COMPILER_VERSION_INTERNAL,']','\0'};
+#endif
+
+/* Construct a string literal encoding the version number components. */
+#ifdef SIMULATE_VERSION_MAJOR
+char const info_simulate_version[] = {
+  'I', 'N', 'F', 'O', ':',
+  's','i','m','u','l','a','t','e','_','v','e','r','s','i','o','n','[',
+  SIMULATE_VERSION_MAJOR,
+# ifdef SIMULATE_VERSION_MINOR
+  '.', SIMULATE_VERSION_MINOR,
+#  ifdef SIMULATE_VERSION_PATCH
+   '.', SIMULATE_VERSION_PATCH,
+#   ifdef SIMULATE_VERSION_TWEAK
+    '.', SIMULATE_VERSION_TWEAK,
+#   endif
+#  endif
+# endif
+  ']','\0'};
+#endif
+
+/* Construct the string literal in pieces to prevent the source from
+   getting matched.  Store it in a pointer rather than an array
+   because some compilers will just produce instructions to fill the
+   array rather than assigning a pointer to a static array.  */
+char const* info_platform = "INFO" ":" "platform[" PLATFORM_ID "]";
+char const* info_arch = "INFO" ":" "arch[" ARCHITECTURE_ID "]";
+
+
+
+
+#if !defined(__STDC__)
+# if defined(_MSC_VER) && !defined(__clang__)
+#  define C_DIALECT "90"
+# else
+#  define C_DIALECT
+# endif
+#elif __STDC_VERSION__ >= 201000L
+# define C_DIALECT "11"
+#elif __STDC_VERSION__ >= 199901L
+# define C_DIALECT "99"
+#else
+# define C_DIALECT "90"
+#endif
+const char* info_language_dialect_default =
+  "INFO" ":" "dialect_default[" C_DIALECT "]";
+
+/*--------------------------------------------------------------------------*/
+
+#ifdef ID_VOID_MAIN
+void main() {}
+#else
+# if defined(__CLASSIC_C__)
+int main(argc, argv) int argc; char *argv[];
+# else
+int main(int argc, char* argv[])
+# endif
+{
+  int require = 0;
+  require += info_compiler[argc];
+  require += info_platform[argc];
+  require += info_arch[argc];
+#ifdef COMPILER_VERSION_MAJOR
+  require += info_version[argc];
+#endif
+#ifdef COMPILER_VERSION_INTERNAL
+  require += info_version_internal[argc];
+#endif
+#ifdef SIMULATE_ID
+  require += info_simulate[argc];
+#endif
+#ifdef SIMULATE_VERSION_MAJOR
+  require += info_simulate_version[argc];
+#endif
+#if defined(__CRAYXE) || defined(__CRAYXC)
+  require += info_cray[argc];
+#endif
+  require += info_language_dialect_default[argc];
+  (void)argv;
+  return require;
+}
+#endif

01/代码框架/build/CMakeFiles/3.10.2/CompilerIdCXX/CMakeCXXCompilerId.cpp

@@ -0,0 +1,576 @@
+/* This source file must have a .cpp extension so that all C++ compilers
+   recognize the extension without flags.  Borland does not know .cxx for
+   example.  */
+#ifndef __cplusplus
+# error "A C compiler has been selected for C++."
+#endif
+
+
+/* Version number components: V=Version, R=Revision, P=Patch
+   Version date components:   YYYY=Year, MM=Month,   DD=Day  */
+
+#if defined(__COMO__)
+# define COMPILER_ID "Comeau"
+  /* __COMO_VERSION__ = VRR */
+# define COMPILER_VERSION_MAJOR DEC(__COMO_VERSION__ / 100)
+# define COMPILER_VERSION_MINOR DEC(__COMO_VERSION__ % 100)
+
+#elif defined(__INTEL_COMPILER) || defined(__ICC)
+# define COMPILER_ID "Intel"
+# if defined(_MSC_VER)
+#  define SIMULATE_ID "MSVC"
+# endif
+  /* __INTEL_COMPILER = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__INTEL_COMPILER/100)
+# define COMPILER_VERSION_MINOR DEC(__INTEL_COMPILER/10 % 10)
+# if defined(__INTEL_COMPILER_UPDATE)
+#  define COMPILER_VERSION_PATCH DEC(__INTEL_COMPILER_UPDATE)
+# else
+#  define COMPILER_VERSION_PATCH DEC(__INTEL_COMPILER   % 10)
+# endif
+# if defined(__INTEL_COMPILER_BUILD_DATE)
+  /* __INTEL_COMPILER_BUILD_DATE = YYYYMMDD */
+#  define COMPILER_VERSION_TWEAK DEC(__INTEL_COMPILER_BUILD_DATE)
+# endif
+# if defined(_MSC_VER)
+   /* _MSC_VER = VVRR */
+#  define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+#  define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+
+#elif defined(__PATHCC__)
+# define COMPILER_ID "PathScale"
+# define COMPILER_VERSION_MAJOR DEC(__PATHCC__)
+# define COMPILER_VERSION_MINOR DEC(__PATHCC_MINOR__)
+# if defined(__PATHCC_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__PATHCC_PATCHLEVEL__)
+# endif
+
+#elif defined(__BORLANDC__) && defined(__CODEGEARC_VERSION__)
+# define COMPILER_ID "Embarcadero"
+# define COMPILER_VERSION_MAJOR HEX(__CODEGEARC_VERSION__>>24 & 0x00FF)
+# define COMPILER_VERSION_MINOR HEX(__CODEGEARC_VERSION__>>16 & 0x00FF)
+# define COMPILER_VERSION_PATCH DEC(__CODEGEARC_VERSION__     & 0xFFFF)
+
+#elif defined(__BORLANDC__)
+# define COMPILER_ID "Borland"
+  /* __BORLANDC__ = 0xVRR */
+# define COMPILER_VERSION_MAJOR HEX(__BORLANDC__>>8)
+# define COMPILER_VERSION_MINOR HEX(__BORLANDC__ & 0xFF)
+
+#elif defined(__WATCOMC__) && __WATCOMC__ < 1200
+# define COMPILER_ID "Watcom"
+   /* __WATCOMC__ = VVRR */
+# define COMPILER_VERSION_MAJOR DEC(__WATCOMC__ / 100)
+# define COMPILER_VERSION_MINOR DEC((__WATCOMC__ / 10) % 10)
+# if (__WATCOMC__ % 10) > 0
+#  define COMPILER_VERSION_PATCH DEC(__WATCOMC__ % 10)
+# endif
+
+#elif defined(__WATCOMC__)
+# define COMPILER_ID "OpenWatcom"
+   /* __WATCOMC__ = VVRP + 1100 */
+# define COMPILER_VERSION_MAJOR DEC((__WATCOMC__ - 1100) / 100)
+# define COMPILER_VERSION_MINOR DEC((__WATCOMC__ / 10) % 10)
+# if (__WATCOMC__ % 10) > 0
+#  define COMPILER_VERSION_PATCH DEC(__WATCOMC__ % 10)
+# endif
+
+#elif defined(__SUNPRO_CC)
+# define COMPILER_ID "SunPro"
+# if __SUNPRO_CC >= 0x5100
+   /* __SUNPRO_CC = 0xVRRP */
+#  define COMPILER_VERSION_MAJOR HEX(__SUNPRO_CC>>12)
+#  define COMPILER_VERSION_MINOR HEX(__SUNPRO_CC>>4 & 0xFF)
+#  define COMPILER_VERSION_PATCH HEX(__SUNPRO_CC    & 0xF)
+# else
+   /* __SUNPRO_CC = 0xVRP */
+#  define COMPILER_VERSION_MAJOR HEX(__SUNPRO_CC>>8)
+#  define COMPILER_VERSION_MINOR HEX(__SUNPRO_CC>>4 & 0xF)
+#  define COMPILER_VERSION_PATCH HEX(__SUNPRO_CC    & 0xF)
+# endif
+
+#elif defined(__HP_aCC)
+# define COMPILER_ID "HP"
+  /* __HP_aCC = VVRRPP */
+# define COMPILER_VERSION_MAJOR DEC(__HP_aCC/10000)
+# define COMPILER_VERSION_MINOR DEC(__HP_aCC/100 % 100)
+# define COMPILER_VERSION_PATCH DEC(__HP_aCC     % 100)
+
+#elif defined(__DECCXX)
+# define COMPILER_ID "Compaq"
+  /* __DECCXX_VER = VVRRTPPPP */
+# define COMPILER_VERSION_MAJOR DEC(__DECCXX_VER/10000000)
+# define COMPILER_VERSION_MINOR DEC(__DECCXX_VER/100000  % 100)
+# define COMPILER_VERSION_PATCH DEC(__DECCXX_VER         % 10000)
+
+#elif defined(__IBMCPP__) && defined(__COMPILER_VER__)
+# define COMPILER_ID "zOS"
+  /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__    % 10)
+
+#elif defined(__IBMCPP__) && !defined(__COMPILER_VER__) && __IBMCPP__ >= 800
+# define COMPILER_ID "XL"
+  /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__    % 10)
+
+#elif defined(__IBMCPP__) && !defined(__COMPILER_VER__) && __IBMCPP__ < 800
+# define COMPILER_ID "VisualAge"
+  /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__    % 10)
+
+#elif defined(__PGI)
+# define COMPILER_ID "PGI"
+# define COMPILER_VERSION_MAJOR DEC(__PGIC__)
+# define COMPILER_VERSION_MINOR DEC(__PGIC_MINOR__)
+# if defined(__PGIC_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__PGIC_PATCHLEVEL__)
+# endif
+
+#elif defined(_CRAYC)
+# define COMPILER_ID "Cray"
+# define COMPILER_VERSION_MAJOR DEC(_RELEASE_MAJOR)
+# define COMPILER_VERSION_MINOR DEC(_RELEASE_MINOR)
+
+#elif defined(__TI_COMPILER_VERSION__)
+# define COMPILER_ID "TI"
+  /* __TI_COMPILER_VERSION__ = VVVRRRPPP */
+# define COMPILER_VERSION_MAJOR DEC(__TI_COMPILER_VERSION__/1000000)
+# define COMPILER_VERSION_MINOR DEC(__TI_COMPILER_VERSION__/1000   % 1000)
+# define COMPILER_VERSION_PATCH DEC(__TI_COMPILER_VERSION__        % 1000)
+
+#elif defined(__FUJITSU) || defined(__FCC_VERSION) || defined(__fcc_version)
+# define COMPILER_ID "Fujitsu"
+
+#elif defined(__SCO_VERSION__)
+# define COMPILER_ID "SCO"
+
+#elif defined(__clang__) && defined(__apple_build_version__)
+# define COMPILER_ID "AppleClang"
+# if defined(_MSC_VER)
+#  define SIMULATE_ID "MSVC"
+# endif
+# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
+# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
+# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
+# if defined(_MSC_VER)
+   /* _MSC_VER = VVRR */
+#  define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+#  define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+# define COMPILER_VERSION_TWEAK DEC(__apple_build_version__)
+
+#elif defined(__clang__)
+# define COMPILER_ID "Clang"
+# if defined(_MSC_VER)
+#  define SIMULATE_ID "MSVC"
+# endif
+# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
+# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
+# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
+# if defined(_MSC_VER)
+   /* _MSC_VER = VVRR */
+#  define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+#  define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+
+#elif defined(__GNUC__) || defined(__GNUG__)
+# define COMPILER_ID "GNU"
+# if defined(__GNUC__)
+#  define COMPILER_VERSION_MAJOR DEC(__GNUC__)
+# else
+#  define COMPILER_VERSION_MAJOR DEC(__GNUG__)
+# endif
+# if defined(__GNUC_MINOR__)
+#  define COMPILER_VERSION_MINOR DEC(__GNUC_MINOR__)
+# endif
+# if defined(__GNUC_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
+# endif
+
+#elif defined(_MSC_VER)
+# define COMPILER_ID "MSVC"
+  /* _MSC_VER = VVRR */
+# define COMPILER_VERSION_MAJOR DEC(_MSC_VER / 100)
+# define COMPILER_VERSION_MINOR DEC(_MSC_VER % 100)
+# if defined(_MSC_FULL_VER)
+#  if _MSC_VER >= 1400
+    /* _MSC_FULL_VER = VVRRPPPPP */
+#   define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 100000)
+#  else
+    /* _MSC_FULL_VER = VVRRPPPP */
+#   define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 10000)
+#  endif
+# endif
+# if defined(_MSC_BUILD)
+#  define COMPILER_VERSION_TWEAK DEC(_MSC_BUILD)
+# endif
+
+#elif defined(__VISUALDSPVERSION__) || defined(__ADSPBLACKFIN__) || defined(__ADSPTS__) || defined(__ADSP21000__)
+# define COMPILER_ID "ADSP"
+#if defined(__VISUALDSPVERSION__)
+  /* __VISUALDSPVERSION__ = 0xVVRRPP00 */
+# define COMPILER_VERSION_MAJOR HEX(__VISUALDSPVERSION__>>24)
+# define COMPILER_VERSION_MINOR HEX(__VISUALDSPVERSION__>>16 & 0xFF)
+# define COMPILER_VERSION_PATCH HEX(__VISUALDSPVERSION__>>8  & 0xFF)
+#endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# define COMPILER_ID "IAR"
+# if defined(__VER__)
+#  define COMPILER_VERSION_MAJOR DEC((__VER__) / 1000000)
+#  define COMPILER_VERSION_MINOR DEC(((__VER__) / 1000) % 1000)
+#  define COMPILER_VERSION_PATCH DEC((__VER__) % 1000)
+#  define COMPILER_VERSION_INTERNAL DEC(__IAR_SYSTEMS_ICC__)
+# endif
+
+#elif defined(__ARMCC_VERSION)
+# define COMPILER_ID "ARMCC"
+#if __ARMCC_VERSION >= 1000000
+  /* __ARMCC_VERSION = VRRPPPP */
+  # define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/1000000)
+  # define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 100)
+  # define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION     % 10000)
+#else
+  /* __ARMCC_VERSION = VRPPPP */
+  # define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/100000)
+  # define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 10)
+  # define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION    % 10000)
+#endif
+
+
+#elif defined(_SGI_COMPILER_VERSION) || defined(_COMPILER_VERSION)
+# define COMPILER_ID "MIPSpro"
+# if defined(_SGI_COMPILER_VERSION)
+  /* _SGI_COMPILER_VERSION = VRP */
+#  define COMPILER_VERSION_MAJOR DEC(_SGI_COMPILER_VERSION/100)
+#  define COMPILER_VERSION_MINOR DEC(_SGI_COMPILER_VERSION/10 % 10)
+#  define COMPILER_VERSION_PATCH DEC(_SGI_COMPILER_VERSION    % 10)
+# else
+  /* _COMPILER_VERSION = VRP */
+#  define COMPILER_VERSION_MAJOR DEC(_COMPILER_VERSION/100)
+#  define COMPILER_VERSION_MINOR DEC(_COMPILER_VERSION/10 % 10)
+#  define COMPILER_VERSION_PATCH DEC(_COMPILER_VERSION    % 10)
+# endif
+
+
+/* These compilers are either not known or too old to define an
+  identification macro.  Try to identify the platform and guess that
+  it is the native compiler.  */
+#elif defined(__sgi)
+# define COMPILER_ID "MIPSpro"
+
+#elif defined(__hpux) || defined(__hpua)
+# define COMPILER_ID "HP"
+
+#else /* unknown compiler */
+# define COMPILER_ID ""
+#endif
+
+/* Construct the string literal in pieces to prevent the source from
+   getting matched.  Store it in a pointer rather than an array
+   because some compilers will just produce instructions to fill the
+   array rather than assigning a pointer to a static array.  */
+char const* info_compiler = "INFO" ":" "compiler[" COMPILER_ID "]";
+#ifdef SIMULATE_ID
+char const* info_simulate = "INFO" ":" "simulate[" SIMULATE_ID "]";
+#endif
+
+#ifdef __QNXNTO__
+char const* qnxnto = "INFO" ":" "qnxnto[]";
+#endif
+
+#if defined(__CRAYXE) || defined(__CRAYXC)
+char const *info_cray = "INFO" ":" "compiler_wrapper[CrayPrgEnv]";
+#endif
+
+#define STRINGIFY_HELPER(X) #X
+#define STRINGIFY(X) STRINGIFY_HELPER(X)
+
+/* Identify known platforms by name.  */
+#if defined(__linux) || defined(__linux__) || defined(linux)
+# define PLATFORM_ID "Linux"
+
+#elif defined(__CYGWIN__)
+# define PLATFORM_ID "Cygwin"
+
+#elif defined(__MINGW32__)
+# define PLATFORM_ID "MinGW"
+
+#elif defined(__APPLE__)
+# define PLATFORM_ID "Darwin"
+
+#elif defined(_WIN32) || defined(__WIN32__) || defined(WIN32)
+# define PLATFORM_ID "Windows"
+
+#elif defined(__FreeBSD__) || defined(__FreeBSD)
+# define PLATFORM_ID "FreeBSD"
+
+#elif defined(__NetBSD__) || defined(__NetBSD)
+# define PLATFORM_ID "NetBSD"
+
+#elif defined(__OpenBSD__) || defined(__OPENBSD)
+# define PLATFORM_ID "OpenBSD"
+
+#elif defined(__sun) || defined(sun)
+# define PLATFORM_ID "SunOS"
+
+#elif defined(_AIX) || defined(__AIX) || defined(__AIX__) || defined(__aix) || defined(__aix__)
+# define PLATFORM_ID "AIX"
+
+#elif defined(__sgi) || defined(__sgi__) || defined(_SGI)
+# define PLATFORM_ID "IRIX"
+
+#elif defined(__hpux) || defined(__hpux__)
+# define PLATFORM_ID "HP-UX"
+
+#elif defined(__HAIKU__)
+# define PLATFORM_ID "Haiku"
+
+#elif defined(__BeOS) || defined(__BEOS__) || defined(_BEOS)
+# define PLATFORM_ID "BeOS"
+
+#elif defined(__QNX__) || defined(__QNXNTO__)
+# define PLATFORM_ID "QNX"
+
+#elif defined(__tru64) || defined(_tru64) || defined(__TRU64__)
+# define PLATFORM_ID "Tru64"
+
+#elif defined(__riscos) || defined(__riscos__)
+# define PLATFORM_ID "RISCos"
+
+#elif defined(__sinix) || defined(__sinix__) || defined(__SINIX__)
+# define PLATFORM_ID "SINIX"
+
+#elif defined(__UNIX_SV__)
+# define PLATFORM_ID "UNIX_SV"
+
+#elif defined(__bsdos__)
+# define PLATFORM_ID "BSDOS"
+
+#elif defined(_MPRAS) || defined(MPRAS)
+# define PLATFORM_ID "MP-RAS"
+
+#elif defined(__osf) || defined(__osf__)
+# define PLATFORM_ID "OSF1"
+
+#elif defined(_SCO_SV) || defined(SCO_SV) || defined(sco_sv)
+# define PLATFORM_ID "SCO_SV"
+
+#elif defined(__ultrix) || defined(__ultrix__) || defined(_ULTRIX)
+# define PLATFORM_ID "ULTRIX"
+
+#elif defined(__XENIX__) || defined(_XENIX) || defined(XENIX)
+# define PLATFORM_ID "Xenix"
+
+#elif defined(__WATCOMC__)
+# if defined(__LINUX__)
+#  define PLATFORM_ID "Linux"
+
+# elif defined(__DOS__)
+#  define PLATFORM_ID "DOS"
+
+# elif defined(__OS2__)
+#  define PLATFORM_ID "OS2"
+
+# elif defined(__WINDOWS__)
+#  define PLATFORM_ID "Windows3x"
+
+# else /* unknown platform */
+#  define PLATFORM_ID
+# endif
+
+#else /* unknown platform */
+# define PLATFORM_ID
+
+#endif
+
+/* For windows compilers MSVC and Intel we can determine
+   the architecture of the compiler being used.  This is because
+   the compilers do not have flags that can change the architecture,
+   but rather depend on which compiler is being used
+*/
+#if defined(_WIN32) && defined(_MSC_VER)
+# if defined(_M_IA64)
+#  define ARCHITECTURE_ID "IA64"
+
+# elif defined(_M_X64) || defined(_M_AMD64)
+#  define ARCHITECTURE_ID "x64"
+
+# elif defined(_M_IX86)
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01/代码框架/main.cpp

@@ -0,0 +1,127 @@
+#include "Triangle.hpp"
+#include "rasterizer.hpp"
+#include <eigen3/Eigen/Eigen>
+#include <iostream>
+#include <opencv2/opencv.hpp>
+
+constexpr double MY_PI = 3.1415926;
+
+Eigen::Matrix4f get_view_matrix(Eigen::Vector3f eye_pos)
+{
+    Eigen::Matrix4f view = Eigen::Matrix4f::Identity();
+
+    Eigen::Matrix4f translate;
+    translate << 1, 0, 0, -eye_pos[0],
+                 0, 1, 0, -eye_pos[1],
+                 0, 0, 1, -eye_pos[2],
+                 0, 0, 0,  1;
+
+    view = translate * view;
+
+    return view;
+}
+
+Eigen::Matrix4f get_model_matrix(float rotation_angle)
+{
+    Eigen::Matrix4f model = Eigen::Matrix4f::Identity();
+
+    // TODO: Implement this function
+    // Create the model matrix for rotating the triangle around the Z axis.
+    
+    model << cosf(rotation_angle),-sinf(rotation_angle),0,0,
+             sinf(rotation_angle),cosf(rotation_angle),0,0,
+             0,0,1,0,
+             0,0,0,1;
+    // Then return it.
+
+    return model;
+}
+
+Eigen::Matrix4f get_projection_matrix(float eye_fov, float aspect_ratio,
+                                      float zNear, float zFar)
+{
+    // Students will implement this function
+
+    Eigen::Matrix4f projection = Eigen::Matrix4f::Identity();
+    
+    projection << (1/tanf(eye_fov/2))/aspect_ratio,0,0,0,
+                    0,1/tanf(eye_fov),0,0,
+                    0,0,(zNear+zFar)/(zNear-zFar),-(2*zNear*zFar)/(zNear-zFar),
+                    0,0,1,0;
+    // TODO: Implement this function
+    // Create the projection matrix for the given parameters.
+    // Then return it.
+
+    return projection;
+}
+
+int main(int argc, const char** argv)
+{
+    float angle = 0;
+    bool command_line = false;
+    std::string filename = "output.png";
+
+    if (argc >= 3) {
+        command_line = true;
+        angle = std::stof(argv[2]); // -r by default
+        if (argc == 4) {
+            filename = std::string(argv[3]);
+        }
+    }
+
+    rst::rasterizer r(700, 700);
+
+    Eigen::Vector3f eye_pos = {0, 0, 5};
+
+    std::vector<Eigen::Vector3f> pos{{2, 0, -2}, {0, 2, -2}, {-2, 0, -2}};
+
+    std::vector<Eigen::Vector3i> ind{{0, 1, 2}};
+
+    auto pos_id = r.load_positions(pos);
+    auto ind_id = r.load_indices(ind);
+
+    int key = 0;
+    int frame_count = 0;
+
+    if (command_line) {
+        r.clear(rst::Buffers::Color | rst::Buffers::Depth);
+
+        r.set_model(get_model_matrix(angle));
+        r.set_view(get_view_matrix(eye_pos));
+        r.set_projection(get_projection_matrix(45, 1, 0.1, 50));
+
+        r.draw(pos_id, ind_id, rst::Primitive::Triangle);
+        cv::Mat image(700, 700, CV_32FC3, r.frame_buffer().data());
+        image.convertTo(image, CV_8UC3, 1.0f);
+
+        cv::imwrite(filename, image);
+
+        return 0;
+    }
+
+    while (key != 27) {
+        r.clear(rst::Buffers::Color | rst::Buffers::Depth);
+
+        r.set_model(get_model_matrix(angle));
+        r.set_view(get_view_matrix(eye_pos));
+        r.set_projection(get_projection_matrix(45, 1, 0.1, 50));
+
+        r.draw(pos_id, ind_id, rst::Primitive::Triangle);
+
+        cv::Mat image(700, 700, CV_32FC3, r.frame_buffer().data());
+        image.convertTo(image, CV_8UC3, 1.0f);
+        cv::imshow("image", image);
+        key = cv::waitKey(10);
+
+        std::cout << "frame count: " << frame_count++ << '\n';
+
+        if (key == 'a') {
+            angle += 10;
+        }
+        else if (key == 'd') {
+            angle -= 10;
+        }
+    }
+
+    return 0;
+}

01/代码框架/rasterizer.cpp

@@ -0,0 +1,237 @@
+//
+// Created by goksu on 4/6/19.
+//
+
+#include <algorithm>
+#include "rasterizer.hpp"
+#include <opencv2/opencv.hpp>
+#include <math.h>
+#include <stdexcept>
+
+
+rst::pos_buf_id rst::rasterizer::load_positions(const std::vector<Eigen::Vector3f> &positions)
+{
+    auto id = get_next_id();
+    pos_buf.emplace(id, positions);
+
+    return {id};
+}
+
+rst::ind_buf_id rst::rasterizer::load_indices(const std::vector<Eigen::Vector3i> &indices)
+{
+    auto id = get_next_id();
+    ind_buf.emplace(id, indices);
+
+    return {id};
+}
+
+// Bresenham's line drawing algorithm
+// Code taken from a stack overflow answer: https://stackoverflow.com/a/16405254
+void rst::rasterizer::draw_line(Eigen::Vector3f begin, Eigen::Vector3f end)
+{
+    auto x1 = begin.x();
+    auto y1 = begin.y();
+    auto x2 = end.x();
+    auto y2 = end.y();
+
+    Eigen::Vector3f line_color = {255, 255, 255};
+
+    int x,y,dx,dy,dx1,dy1,px,py,xe,ye,i;
+
+    dx=x2-x1;
+    dy=y2-y1;
+    dx1=fabs(dx);
+    dy1=fabs(dy);
+    px=2*dy1-dx1;
+    py=2*dx1-dy1;
+
+    if(dy1<=dx1)
+    {
+        if(dx>=0)
+        {
+            x=x1;
+            y=y1;
+            xe=x2;
+        }
+        else
+        {
+            x=x2;
+            y=y2;
+            xe=x1;
+        }
+        Eigen::Vector3f point = Eigen::Vector3f(x, y, 1.0f);
+        set_pixel(point,line_color);
+        for(i=0;x<xe;i++)
+        {
+            x=x+1;
+            if(px<0)
+            {
+                px=px+2*dy1;
+            }
+            else
+            {
+                if((dx<0 && dy<0) || (dx>0 && dy>0))
+                {
+                    y=y+1;
+                }
+                else
+                {
+                    y=y-1;
+                }
+                px=px+2*(dy1-dx1);
+            }
+//            delay(0);
+            Eigen::Vector3f point = Eigen::Vector3f(x, y, 1.0f);
+            set_pixel(point,line_color);
+        }
+    }
+    else
+    {
+        if(dy>=0)
+        {
+            x=x1;
+            y=y1;
+            ye=y2;
+        }
+        else
+        {
+            x=x2;
+            y=y2;
+            ye=y1;
+        }
+        Eigen::Vector3f point = Eigen::Vector3f(x, y, 1.0f);
+        set_pixel(point,line_color);
+        for(i=0;y<ye;i++)
+        {
+            y=y+1;
+            if(py<=0)
+            {
+                py=py+2*dx1;
+            }
+            else
+            {
+                if((dx<0 && dy<0) || (dx>0 && dy>0))
+                {
+                    x=x+1;
+                }
+                else
+                {
+                    x=x-1;
+                }
+                py=py+2*(dx1-dy1);
+            }
+//            delay(0);
+            Eigen::Vector3f point = Eigen::Vector3f(x, y, 1.0f);
+            set_pixel(point,line_color);
+        }
+    }
+}
+
+auto to_vec4(const Eigen::Vector3f& v3, float w = 1.0f)
+{
+    return Vector4f(v3.x(), v3.y(), v3.z(), w);
+}
+
+void rst::rasterizer::draw(rst::pos_buf_id pos_buffer, rst::ind_buf_id ind_buffer, rst::Primitive type)
+{
+    if (type != rst::Primitive::Triangle)
+    {
+        throw std::runtime_error("Drawing primitives other than triangle is not implemented yet!");
+    }
+    auto& buf = pos_buf[pos_buffer.pos_id];
+    auto& ind = ind_buf[ind_buffer.ind_id];
+
+    float f1 = (100 - 0.1) / 2.0;
+    float f2 = (100 + 0.1) / 2.0;
+
+    Eigen::Matrix4f mvp = projection * view * model;
+    for (auto& i : ind)
+    {
+        Triangle t;
+
+        Eigen::Vector4f v[] = {
+                mvp * to_vec4(buf[i[0]], 1.0f),
+                mvp * to_vec4(buf[i[1]], 1.0f),
+                mvp * to_vec4(buf[i[2]], 1.0f)
+        };
+
+        for (auto& vec : v) {
+            vec /= vec.w();
+        }
+
+        for (auto & vert : v)
+        {
+            vert.x() = 0.5*width*(vert.x()+1.0);
+            vert.y() = 0.5*height*(vert.y()+1.0);
+            vert.z() = vert.z() * f1 + f2;
+        }
+
+        for (int i = 0; i < 3; ++i)
+        {
+            t.setVertex(i, v[i].head<3>());
+            t.setVertex(i, v[i].head<3>());
+            t.setVertex(i, v[i].head<3>());
+        }
+
+        t.setColor(0, 255.0,  0.0,  0.0);
+        t.setColor(1, 0.0  ,255.0,  0.0);
+        t.setColor(2, 0.0  ,  0.0,255.0);
+
+        rasterize_wireframe(t);
+    }
+}
+
+void rst::rasterizer::rasterize_wireframe(const Triangle& t)
+{
+    draw_line(t.c(), t.a());
+    draw_line(t.c(), t.b());
+    draw_line(t.b(), t.a());
+}
+
+void rst::rasterizer::set_model(const Eigen::Matrix4f& m)
+{
+    model = m;
+}
+
+void rst::rasterizer::set_view(const Eigen::Matrix4f& v)
+{
+    view = v;
+}
+
+void rst::rasterizer::set_projection(const Eigen::Matrix4f& p)
+{
+    projection = p;
+}
+
+void rst::rasterizer::clear(rst::Buffers buff)
+{
+    if ((buff & rst::Buffers::Color) == rst::Buffers::Color)
+    {
+        std::fill(frame_buf.begin(), frame_buf.end(), Eigen::Vector3f{0, 0, 0});
+    }
+    if ((buff & rst::Buffers::Depth) == rst::Buffers::Depth)
+    {
+        std::fill(depth_buf.begin(), depth_buf.end(), std::numeric_limits<float>::infinity());
+    }
+}
+
+rst::rasterizer::rasterizer(int w, int h) : width(w), height(h)
+{
+    frame_buf.resize(w * h);
+    depth_buf.resize(w * h);
+}
+
+int rst::rasterizer::get_index(int x, int y)
+{
+    return (height-y)*width + x;
+}
+
+void rst::rasterizer::set_pixel(const Eigen::Vector3f& point, const Eigen::Vector3f& color)
+{
+    //old index: auto ind = point.y() + point.x() * width;
+    if (point.x() < 0 || point.x() >= width ||
+        point.y() < 0 || point.y() >= height) return;
+    auto ind = (height-1-point.y())*width + point.x();
+    frame_buf[ind] = color;
+}
+

01/代码框架/rasterizer.hpp

@@ -0,0 +1,90 @@
+//
+// Created by goksu on 4/6/19.
+//
+
+#pragma once
+
+#include "Triangle.hpp"
+#include <algorithm>
+#include <eigen3/Eigen/Eigen>
+using namespace Eigen;
+
+namespace rst {
+enum class Buffers
+{
+    Color = 1,
+    Depth = 2
+};
+
+inline Buffers operator|(Buffers a, Buffers b)
+{
+    return Buffers((int)a | (int)b);
+}
+
+inline Buffers operator&(Buffers a, Buffers b)
+{
+    return Buffers((int)a & (int)b);
+}
+
+enum class Primitive
+{
+    Line,
+    Triangle
+};
+
+/*
+ * For the curious : The draw function takes two buffer id's as its arguments.
+ * These two structs make sure that if you mix up with their orders, the
+ * compiler won't compile it. Aka : Type safety
+ * */
+struct pos_buf_id
+{
+    int pos_id = 0;
+};
+
+struct ind_buf_id
+{
+    int ind_id = 0;
+};
+
+class rasterizer
+{
+  public:
+    rasterizer(int w, int h);
+    pos_buf_id load_positions(const std::vector<Eigen::Vector3f>& positions);
+    ind_buf_id load_indices(const std::vector<Eigen::Vector3i>& indices);
+
+    void set_model(const Eigen::Matrix4f& m);
+    void set_view(const Eigen::Matrix4f& v);
+    void set_projection(const Eigen::Matrix4f& p);
+
+    void set_pixel(const Eigen::Vector3f& point, const Eigen::Vector3f& color);
+
+    void clear(Buffers buff);
+
+    void draw(pos_buf_id pos_buffer, ind_buf_id ind_buffer, Primitive type);
+
+    std::vector<Eigen::Vector3f>& frame_buffer() { return frame_buf; }
+
+  private:
+    void draw_line(Eigen::Vector3f begin, Eigen::Vector3f end);
+    void rasterize_wireframe(const Triangle& t);
+
+  private:
+    Eigen::Matrix4f model;
+    Eigen::Matrix4f view;
+    Eigen::Matrix4f projection;
+
+    std::map<int, std::vector<Eigen::Vector3f>> pos_buf;
+    std::map<int, std::vector<Eigen::Vector3i>> ind_buf;
+
+    std::vector<Eigen::Vector3f> frame_buf;
+    std::vector<float> depth_buf;
+    int get_index(int x, int y);
+
+    int width, height;
+
+    int next_id = 0;
+    int get_next_id() { return next_id++; }
+};
+} // namespace rst

02/代码框架/CMakeLists.txt

@@ -0,0 +1,11 @@
+cmake_minimum_required(VERSION 3.10)
+project(Rasterizer)
+
+find_package(OpenCV REQUIRED)
+
+set(CMAKE_CXX_STANDARD 17)
+
+include_directories(/usr/local/include)
+
+add_executable(Rasterizer main.cpp rasterizer.hpp rasterizer.cpp global.hpp Triangle.hpp Triangle.cpp)
+target_link_libraries(Rasterizer ${OpenCV_LIBRARIES})

02/代码框架/Triangle.cpp

@@ -0,0 +1,51 @@
+//
+// Created by LEI XU on 4/11/19.
+//
+
+#include "Triangle.hpp"
+#include <algorithm>
+#include <array>
+
+
+Triangle::Triangle() {
+    v[0] << 0,0,0;
+    v[1] << 0,0,0;
+    v[2] << 0,0,0;
+
+    color[0] << 0.0, 0.0, 0.0;
+    color[1] << 0.0, 0.0, 0.0;
+    color[2] << 0.0, 0.0, 0.0;
+
+    tex_coords[0] << 0.0, 0.0;
+    tex_coords[1] << 0.0, 0.0;
+    tex_coords[2] << 0.0, 0.0;
+}
+
+void Triangle::setVertex(int ind, Vector3f ver){
+    v[ind] = ver;
+}
+void Triangle::setNormal(int ind, Vector3f n){
+    normal[ind] = n;
+}
+void Triangle::setColor(int ind, float r, float g, float b) {
+    if((r<0.0) || (r>255.) ||
+       (g<0.0) || (g>255.) ||
+       (b<0.0) || (b>255.)) {
+        fprintf(stderr, "ERROR! Invalid color values");
+        fflush(stderr);
+        exit(-1);
+    }
+
+    color[ind] = Vector3f((float)r/255.,(float)g/255.,(float)b/255.);
+    return;
+}
+void Triangle::setTexCoord(int ind, float s, float t) {
+    tex_coords[ind] = Vector2f(s,t);
+}
+
+std::array<Vector4f, 3> Triangle::toVector4() const
+{
+    std::array<Eigen::Vector4f, 3> res;
+    std::transform(std::begin(v), std::end(v), res.begin(), [](auto& vec) { return Eigen::Vector4f(vec.x(), vec.y(), vec.z(), 1.f); });
+    return res;
+}

02/代码框架/Triangle.hpp

@@ -0,0 +1,37 @@
+//
+// Created by LEI XU on 4/11/19.
+//
+
+#ifndef RASTERIZER_TRIANGLE_H
+#define RASTERIZER_TRIANGLE_H
+
+#include <eigen3/Eigen/Eigen>
+
+
+using namespace Eigen;
+class Triangle{
+
+public:
+    Vector3f v[3]; /*the original coordinates of the triangle, v0, v1, v2 in counter clockwise order*/
+    /*Per vertex values*/
+    Vector3f color[3]; //color at each vertex;
+    Vector2f tex_coords[3]; //texture u,v
+    Vector3f normal[3]; //normal vector for each vertex
+
+    //Texture *tex;
+    Triangle();
+
+    void setVertex(int ind, Vector3f ver); /*set i-th vertex coordinates */
+    void setNormal(int ind, Vector3f n); /*set i-th vertex normal vector*/
+    void setColor(int ind, float r, float g, float b); /*set i-th vertex color*/
+    Vector3f getColor() const { return color[0]*255; } // Only one color per triangle.
+    void setTexCoord(int ind, float s, float t); /*set i-th vertex texture coordinate*/
+    std::array<Vector4f, 3> toVector4() const;
+};
+
+
+
+
+
+
+#endif //RASTERIZER_TRIANGLE_H

02/代码框架/build/CMakeCache.txt

@@ -0,0 +1,335 @@
+# This is the CMakeCache file.
+# For build in directory: /home/cs18/Desktop/games101_homework/02/代码框架/build
+# It was generated by CMake: /usr/bin/cmake
+# You can edit this file to change values found and used by cmake.
+# If you do not want to change any of the values, simply exit the editor.
+# If you do want to change a value, simply edit, save, and exit the editor.
+# The syntax for the file is as follows:
+# KEY:TYPE=VALUE
+# KEY is the name of a variable in the cache.
+# TYPE is a hint to GUIs for the type of VALUE, DO NOT EDIT TYPE!.
+# VALUE is the current value for the KEY.
+
+########################
+# EXTERNAL cache entries
+########################
+
+//Path to a program.
+CMAKE_AR:FILEPATH=/usr/bin/ar
+
+//Choose the type of build, options are: None(CMAKE_CXX_FLAGS or
+// CMAKE_C_FLAGS used) Debug Release RelWithDebInfo MinSizeRel.
+CMAKE_BUILD_TYPE:STRING=
+
+//Enable/Disable color output during build.
+CMAKE_COLOR_MAKEFILE:BOOL=ON
+
+//CXX compiler
+CMAKE_CXX_COMPILER:FILEPATH=/usr/bin/c++
+
+//A wrapper around 'ar' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_CXX_COMPILER_AR:FILEPATH=/usr/bin/gcc-ar-7
+
+//A wrapper around 'ranlib' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_CXX_COMPILER_RANLIB:FILEPATH=/usr/bin/gcc-ranlib-7
+
+//Flags used by the compiler during all build types.
+CMAKE_CXX_FLAGS:STRING=
+
+//Flags used by the compiler during debug builds.
+CMAKE_CXX_FLAGS_DEBUG:STRING=-g
+
+//Flags used by the compiler during release builds for minimum
+// size.
+CMAKE_CXX_FLAGS_MINSIZEREL:STRING=-Os -DNDEBUG
+
+//Flags used by the compiler during release builds.
+CMAKE_CXX_FLAGS_RELEASE:STRING=-O3 -DNDEBUG
+
+//Flags used by the compiler during release builds with debug info.
+CMAKE_CXX_FLAGS_RELWITHDEBINFO:STRING=-O2 -g -DNDEBUG
+
+//C compiler
+CMAKE_C_COMPILER:FILEPATH=/usr/bin/cc
+
+//A wrapper around 'ar' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_C_COMPILER_AR:FILEPATH=/usr/bin/gcc-ar-7
+
+//A wrapper around 'ranlib' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_C_COMPILER_RANLIB:FILEPATH=/usr/bin/gcc-ranlib-7
+
+//Flags used by the compiler during all build types.
+CMAKE_C_FLAGS:STRING=
+
+//Flags used by the compiler during debug builds.
+CMAKE_C_FLAGS_DEBUG:STRING=-g
+
+//Flags used by the compiler during release builds for minimum
+// size.
+CMAKE_C_FLAGS_MINSIZEREL:STRING=-Os -DNDEBUG
+
+//Flags used by the compiler during release builds.
+CMAKE_C_FLAGS_RELEASE:STRING=-O3 -DNDEBUG
+
+//Flags used by the compiler during release builds with debug info.
+CMAKE_C_FLAGS_RELWITHDEBINFO:STRING=-O2 -g -DNDEBUG
+
+//Flags used by the linker.
+CMAKE_EXE_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_EXE_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_EXE_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_EXE_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_EXE_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//Enable/Disable output of compile commands during generation.
+CMAKE_EXPORT_COMPILE_COMMANDS:BOOL=OFF
+
+//Install path prefix, prepended onto install directories.
+CMAKE_INSTALL_PREFIX:PATH=/usr/local
+
+//Path to a program.
+CMAKE_LINKER:FILEPATH=/usr/bin/ld
+
+//Path to a program.
+CMAKE_MAKE_PROGRAM:FILEPATH=/usr/bin/make
+
+//Flags used by the linker during the creation of modules.
+CMAKE_MODULE_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_MODULE_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_MODULE_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_MODULE_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_MODULE_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//Path to a program.
+CMAKE_NM:FILEPATH=/usr/bin/nm
+
+//Path to a program.
+CMAKE_OBJCOPY:FILEPATH=/usr/bin/objcopy
+
+//Path to a program.
+CMAKE_OBJDUMP:FILEPATH=/usr/bin/objdump
+
+//Value Computed by CMake
+CMAKE_PROJECT_NAME:STATIC=Rasterizer
+
+//Path to a program.
+CMAKE_RANLIB:FILEPATH=/usr/bin/ranlib
+
+//Flags used by the linker during the creation of dll's.
+CMAKE_SHARED_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_SHARED_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_SHARED_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_SHARED_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_SHARED_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//If set, runtime paths are not added when installing shared libraries,
+// but are added when building.
+CMAKE_SKIP_INSTALL_RPATH:BOOL=NO
+
+//If set, runtime paths are not added when using shared libraries.
+CMAKE_SKIP_RPATH:BOOL=NO
+
+//Flags used by the linker during the creation of static libraries.
+CMAKE_STATIC_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_STATIC_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_STATIC_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_STATIC_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_STATIC_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//Path to a program.
+CMAKE_STRIP:FILEPATH=/usr/bin/strip
+
+//If this value is on, makefiles will be generated without the
+// .SILENT directive, and all commands will be echoed to the console
+// during the make.  This is useful for debugging only. With Visual
+// Studio IDE projects all commands are done without /nologo.
+CMAKE_VERBOSE_MAKEFILE:BOOL=FALSE
+
+//The directory containing a CMake configuration file for OpenCV.
+OpenCV_DIR:PATH=/usr/share/OpenCV
+
+//Value Computed by CMake
+Rasterizer_BINARY_DIR:STATIC=/home/cs18/Desktop/games101_homework/02/代码框架/build
+
+//Value Computed by CMake
+Rasterizer_SOURCE_DIR:STATIC=/home/cs18/Desktop/games101_homework/02/代码框架
+
+
+########################
+# INTERNAL cache entries
+########################
+
+//ADVANCED property for variable: CMAKE_AR
+CMAKE_AR-ADVANCED:INTERNAL=1
+//This is the directory where this CMakeCache.txt was created
+CMAKE_CACHEFILE_DIR:INTERNAL=/home/cs18/Desktop/games101_homework/02/代码框架/build
+//Major version of cmake used to create the current loaded cache
+CMAKE_CACHE_MAJOR_VERSION:INTERNAL=3
+//Minor version of cmake used to create the current loaded cache
+CMAKE_CACHE_MINOR_VERSION:INTERNAL=10
+//Patch version of cmake used to create the current loaded cache
+CMAKE_CACHE_PATCH_VERSION:INTERNAL=2
+//ADVANCED property for variable: CMAKE_COLOR_MAKEFILE
+CMAKE_COLOR_MAKEFILE-ADVANCED:INTERNAL=1
+//Path to CMake executable.
+CMAKE_COMMAND:INTERNAL=/usr/bin/cmake
+//Path to cpack program executable.
+CMAKE_CPACK_COMMAND:INTERNAL=/usr/bin/cpack
+//Path to ctest program executable.
+CMAKE_CTEST_COMMAND:INTERNAL=/usr/bin/ctest
+//ADVANCED property for variable: CMAKE_CXX_COMPILER
+CMAKE_CXX_COMPILER-ADVANCED:INTERNAL=1
+//ADVANCED property for variable: CMAKE_CXX_COMPILER_AR
+CMAKE_CXX_COMPILER_AR-ADVANCED:INTERNAL=1
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+CMAKE_CXX_COMPILER_RANLIB-ADVANCED:INTERNAL=1
+//ADVANCED property for variable: CMAKE_CXX_FLAGS
+CMAKE_CXX_FLAGS-ADVANCED:INTERNAL=1
+//ADVANCED property for variable: CMAKE_CXX_FLAGS_DEBUG
+CMAKE_CXX_FLAGS_DEBUG-ADVANCED:INTERNAL=1
+//ADVANCED property for variable: CMAKE_CXX_FLAGS_MINSIZEREL
+CMAKE_CXX_FLAGS_MINSIZEREL-ADVANCED:INTERNAL=1
+//ADVANCED property for variable: CMAKE_CXX_FLAGS_RELEASE
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+//ADVANCED property for variable: CMAKE_C_COMPILER
+CMAKE_C_COMPILER-ADVANCED:INTERNAL=1
+//ADVANCED property for variable: CMAKE_C_COMPILER_AR
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+//Name of generator.
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+//Name of generator toolset.
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+//Source directory with the top level CMakeLists.txt file for this
+// project
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+#  if _MSC_VER >= 1400
+    /* _MSC_FULL_VER = VVRRPPPPP */
+#   define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 100000)
+#  else
+    /* _MSC_FULL_VER = VVRRPPPP */
+#   define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 10000)
+#  endif
+# endif
+# if defined(_MSC_BUILD)
+#  define COMPILER_VERSION_TWEAK DEC(_MSC_BUILD)
+# endif
+
+#elif defined(__VISUALDSPVERSION__) || defined(__ADSPBLACKFIN__) || defined(__ADSPTS__) || defined(__ADSP21000__)
+# define COMPILER_ID "ADSP"
+#if defined(__VISUALDSPVERSION__)
+  /* __VISUALDSPVERSION__ = 0xVVRRPP00 */
+# define COMPILER_VERSION_MAJOR HEX(__VISUALDSPVERSION__>>24)
+# define COMPILER_VERSION_MINOR HEX(__VISUALDSPVERSION__>>16 & 0xFF)
+# define COMPILER_VERSION_PATCH HEX(__VISUALDSPVERSION__>>8  & 0xFF)
+#endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# define COMPILER_ID "IAR"
+# if defined(__VER__)
+#  define COMPILER_VERSION_MAJOR DEC((__VER__) / 1000000)
+#  define COMPILER_VERSION_MINOR DEC(((__VER__) / 1000) % 1000)
+#  define COMPILER_VERSION_PATCH DEC((__VER__) % 1000)
+#  define COMPILER_VERSION_INTERNAL DEC(__IAR_SYSTEMS_ICC__)
+# endif
+
+#elif defined(__ARMCC_VERSION)
+# define COMPILER_ID "ARMCC"
+#if __ARMCC_VERSION >= 1000000
+  /* __ARMCC_VERSION = VRRPPPP */
+  # define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/1000000)
+  # define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 100)
+  # define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION     % 10000)
+#else
+  /* __ARMCC_VERSION = VRPPPP */
+  # define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/100000)
+  # define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 10)
+  # define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION    % 10000)
+#endif
+
+
+#elif defined(__SDCC_VERSION_MAJOR) || defined(SDCC)
+# define COMPILER_ID "SDCC"
+# if defined(__SDCC_VERSION_MAJOR)
+#  define COMPILER_VERSION_MAJOR DEC(__SDCC_VERSION_MAJOR)
+#  define COMPILER_VERSION_MINOR DEC(__SDCC_VERSION_MINOR)
+#  define COMPILER_VERSION_PATCH DEC(__SDCC_VERSION_PATCH)
+# else
+  /* SDCC = VRP */
+#  define COMPILER_VERSION_MAJOR DEC(SDCC/100)
+#  define COMPILER_VERSION_MINOR DEC(SDCC/10 % 10)
+#  define COMPILER_VERSION_PATCH DEC(SDCC    % 10)
+# endif
+
+#elif defined(_SGI_COMPILER_VERSION) || defined(_COMPILER_VERSION)
+# define COMPILER_ID "MIPSpro"
+# if defined(_SGI_COMPILER_VERSION)
+  /* _SGI_COMPILER_VERSION = VRP */
+#  define COMPILER_VERSION_MAJOR DEC(_SGI_COMPILER_VERSION/100)
+#  define COMPILER_VERSION_MINOR DEC(_SGI_COMPILER_VERSION/10 % 10)
+#  define COMPILER_VERSION_PATCH DEC(_SGI_COMPILER_VERSION    % 10)
+# else
+  /* _COMPILER_VERSION = VRP */
+#  define COMPILER_VERSION_MAJOR DEC(_COMPILER_VERSION/100)
+#  define COMPILER_VERSION_MINOR DEC(_COMPILER_VERSION/10 % 10)
+#  define COMPILER_VERSION_PATCH DEC(_COMPILER_VERSION    % 10)
+# endif
+
+
+/* These compilers are either not known or too old to define an
+  identification macro.  Try to identify the platform and guess that
+  it is the native compiler.  */
+#elif defined(__sgi)
+# define COMPILER_ID "MIPSpro"
+
+#elif defined(__hpux) || defined(__hpua)
+# define COMPILER_ID "HP"
+
+#else /* unknown compiler */
+# define COMPILER_ID ""
+#endif
+
+/* Construct the string literal in pieces to prevent the source from
+   getting matched.  Store it in a pointer rather than an array
+   because some compilers will just produce instructions to fill the
+   array rather than assigning a pointer to a static array.  */
+char const* info_compiler = "INFO" ":" "compiler[" COMPILER_ID "]";
+#ifdef SIMULATE_ID
+char const* info_simulate = "INFO" ":" "simulate[" SIMULATE_ID "]";
+#endif
+
+#ifdef __QNXNTO__
+char const* qnxnto = "INFO" ":" "qnxnto[]";
+#endif
+
+#if defined(__CRAYXE) || defined(__CRAYXC)
+char const *info_cray = "INFO" ":" "compiler_wrapper[CrayPrgEnv]";
+#endif
+
+#define STRINGIFY_HELPER(X) #X
+#define STRINGIFY(X) STRINGIFY_HELPER(X)
+
+/* Identify known platforms by name.  */
+#if defined(__linux) || defined(__linux__) || defined(linux)
+# define PLATFORM_ID "Linux"
+
+#elif defined(__CYGWIN__)
+# define PLATFORM_ID "Cygwin"
+
+#elif defined(__MINGW32__)
+# define PLATFORM_ID "MinGW"
+
+#elif defined(__APPLE__)
+# define PLATFORM_ID "Darwin"
+
+#elif defined(_WIN32) || defined(__WIN32__) || defined(WIN32)
+# define PLATFORM_ID "Windows"
+
+#elif defined(__FreeBSD__) || defined(__FreeBSD)
+# define PLATFORM_ID "FreeBSD"
+
+#elif defined(__NetBSD__) || defined(__NetBSD)
+# define PLATFORM_ID "NetBSD"
+
+#elif defined(__OpenBSD__) || defined(__OPENBSD)
+# define PLATFORM_ID "OpenBSD"
+
+#elif defined(__sun) || defined(sun)
+# define PLATFORM_ID "SunOS"
+
+#elif defined(_AIX) || defined(__AIX) || defined(__AIX__) || defined(__aix) || defined(__aix__)
+# define PLATFORM_ID "AIX"
+
+#elif defined(__sgi) || defined(__sgi__) || defined(_SGI)
+# define PLATFORM_ID "IRIX"
+
+#elif defined(__hpux) || defined(__hpux__)
+# define PLATFORM_ID "HP-UX"
+
+#elif defined(__HAIKU__)
+# define PLATFORM_ID "Haiku"
+
+#elif defined(__BeOS) || defined(__BEOS__) || defined(_BEOS)
+# define PLATFORM_ID "BeOS"
+
+#elif defined(__QNX__) || defined(__QNXNTO__)
+# define PLATFORM_ID "QNX"
+
+#elif defined(__tru64) || defined(_tru64) || defined(__TRU64__)
+# define PLATFORM_ID "Tru64"
+
+#elif defined(__riscos) || defined(__riscos__)
+# define PLATFORM_ID "RISCos"
+
+#elif defined(__sinix) || defined(__sinix__) || defined(__SINIX__)
+# define PLATFORM_ID "SINIX"
+
+#elif defined(__UNIX_SV__)
+# define PLATFORM_ID "UNIX_SV"
+
+#elif defined(__bsdos__)
+# define PLATFORM_ID "BSDOS"
+
+#elif defined(_MPRAS) || defined(MPRAS)
+# define PLATFORM_ID "MP-RAS"
+
+#elif defined(__osf) || defined(__osf__)
+# define PLATFORM_ID "OSF1"
+
+#elif defined(_SCO_SV) || defined(SCO_SV) || defined(sco_sv)
+# define PLATFORM_ID "SCO_SV"
+
+#elif defined(__ultrix) || defined(__ultrix__) || defined(_ULTRIX)
+# define PLATFORM_ID "ULTRIX"
+
+#elif defined(__XENIX__) || defined(_XENIX) || defined(XENIX)
+# define PLATFORM_ID "Xenix"
+
+#elif defined(__WATCOMC__)
+# if defined(__LINUX__)
+#  define PLATFORM_ID "Linux"
+
+# elif defined(__DOS__)
+#  define PLATFORM_ID "DOS"
+
+# elif defined(__OS2__)
+#  define PLATFORM_ID "OS2"
+
+# elif defined(__WINDOWS__)
+#  define PLATFORM_ID "Windows3x"
+
+# else /* unknown platform */
+#  define PLATFORM_ID
+# endif
+
+#else /* unknown platform */
+# define PLATFORM_ID
+
+#endif
+
+/* For windows compilers MSVC and Intel we can determine
+   the architecture of the compiler being used.  This is because
+   the compilers do not have flags that can change the architecture,
+   but rather depend on which compiler is being used
+*/
+#if defined(_WIN32) && defined(_MSC_VER)
+# if defined(_M_IA64)
+#  define ARCHITECTURE_ID "IA64"
+
+# elif defined(_M_X64) || defined(_M_AMD64)
+#  define ARCHITECTURE_ID "x64"
+
+# elif defined(_M_IX86)
+#  define ARCHITECTURE_ID "X86"
+
+# elif defined(_M_ARM64)
+#  define ARCHITECTURE_ID "ARM64"
+
+# elif defined(_M_ARM)
+#  if _M_ARM == 4
+#   define ARCHITECTURE_ID "ARMV4I"
+#  elif _M_ARM == 5
+#   define ARCHITECTURE_ID "ARMV5I"
+#  else
+#   define ARCHITECTURE_ID "ARMV" STRINGIFY(_M_ARM)
+#  endif
+
+# elif defined(_M_MIPS)
+#  define ARCHITECTURE_ID "MIPS"
+
+# elif defined(_M_SH)
+#  define ARCHITECTURE_ID "SHx"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__WATCOMC__)
+# if defined(_M_I86)
+#  define ARCHITECTURE_ID "I86"
+
+# elif defined(_M_IX86)
+#  define ARCHITECTURE_ID "X86"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# if defined(__ICCARM__)
+#  define ARCHITECTURE_ID "ARM"
+
+# elif defined(__ICCAVR__)
+#  define ARCHITECTURE_ID "AVR"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+#else
+#  define ARCHITECTURE_ID
+#endif
+
+/* Convert integer to decimal digit literals.  */
+#define DEC(n)                   \
+  ('0' + (((n) / 10000000)%10)), \
+  ('0' + (((n) / 1000000)%10)),  \
+  ('0' + (((n) / 100000)%10)),   \
+  ('0' + (((n) / 10000)%10)),    \
+  ('0' + (((n) / 1000)%10)),     \
+  ('0' + (((n) / 100)%10)),      \
+  ('0' + (((n) / 10)%10)),       \
+  ('0' +  ((n) % 10))
+
+/* Convert integer to hex digit literals.  */
+#define HEX(n)             \
+  ('0' + ((n)>>28 & 0xF)), \
+  ('0' + ((n)>>24 & 0xF)), \
+  ('0' + ((n)>>20 & 0xF)), \
+  ('0' + ((n)>>16 & 0xF)), \
+  ('0' + ((n)>>12 & 0xF)), \
+  ('0' + ((n)>>8  & 0xF)), \
+  ('0' + ((n)>>4  & 0xF)), \
+  ('0' + ((n)     & 0xF))
+
+/* Construct a string literal encoding the version number components. */
+#ifdef COMPILER_VERSION_MAJOR
+char const info_version[] = {
+  'I', 'N', 'F', 'O', ':',
+  'c','o','m','p','i','l','e','r','_','v','e','r','s','i','o','n','[',
+  COMPILER_VERSION_MAJOR,
+# ifdef COMPILER_VERSION_MINOR
+  '.', COMPILER_VERSION_MINOR,
+#  ifdef COMPILER_VERSION_PATCH
+   '.', COMPILER_VERSION_PATCH,
+#   ifdef COMPILER_VERSION_TWEAK
+    '.', COMPILER_VERSION_TWEAK,
+#   endif
+#  endif
+# endif
+  ']','\0'};
+#endif
+
+/* Construct a string literal encoding the internal version number. */
+#ifdef COMPILER_VERSION_INTERNAL
+char const info_version_internal[] = {
+  'I', 'N', 'F', 'O', ':',
+  'c','o','m','p','i','l','e','r','_','v','e','r','s','i','o','n','_',
+  'i','n','t','e','r','n','a','l','[',
+  COMPILER_VERSION_INTERNAL,']','\0'};
+#endif
+
+/* Construct a string literal encoding the version number components. */
+#ifdef SIMULATE_VERSION_MAJOR
+char const info_simulate_version[] = {
+  'I', 'N', 'F', 'O', ':',
+  's','i','m','u','l','a','t','e','_','v','e','r','s','i','o','n','[',
+  SIMULATE_VERSION_MAJOR,
+# ifdef SIMULATE_VERSION_MINOR
+  '.', SIMULATE_VERSION_MINOR,
+#  ifdef SIMULATE_VERSION_PATCH
+   '.', SIMULATE_VERSION_PATCH,
+#   ifdef SIMULATE_VERSION_TWEAK
+    '.', SIMULATE_VERSION_TWEAK,
+#   endif
+#  endif
+# endif
+  ']','\0'};
+#endif
+
+/* Construct the string literal in pieces to prevent the source from
+   getting matched.  Store it in a pointer rather than an array
+   because some compilers will just produce instructions to fill the
+   array rather than assigning a pointer to a static array.  */
+char const* info_platform = "INFO" ":" "platform[" PLATFORM_ID "]";
+char const* info_arch = "INFO" ":" "arch[" ARCHITECTURE_ID "]";
+
+
+
+
+#if !defined(__STDC__)
+# if defined(_MSC_VER) && !defined(__clang__)
+#  define C_DIALECT "90"
+# else
+#  define C_DIALECT
+# endif
+#elif __STDC_VERSION__ >= 201000L
+# define C_DIALECT "11"
+#elif __STDC_VERSION__ >= 199901L
+# define C_DIALECT "99"
+#else
+# define C_DIALECT "90"
+#endif
+const char* info_language_dialect_default =
+  "INFO" ":" "dialect_default[" C_DIALECT "]";
+
+/*--------------------------------------------------------------------------*/
+
+#ifdef ID_VOID_MAIN
+void main() {}
+#else
+# if defined(__CLASSIC_C__)
+int main(argc, argv) int argc; char *argv[];
+# else
+int main(int argc, char* argv[])
+# endif
+{
+  int require = 0;
+  require += info_compiler[argc];
+  require += info_platform[argc];
+  require += info_arch[argc];
+#ifdef COMPILER_VERSION_MAJOR
+  require += info_version[argc];
+#endif
+#ifdef COMPILER_VERSION_INTERNAL
+  require += info_version_internal[argc];
+#endif
+#ifdef SIMULATE_ID
+  require += info_simulate[argc];
+#endif
+#ifdef SIMULATE_VERSION_MAJOR
+  require += info_simulate_version[argc];
+#endif
+#if defined(__CRAYXE) || defined(__CRAYXC)
+  require += info_cray[argc];
+#endif
+  require += info_language_dialect_default[argc];
+  (void)argv;
+  return require;
+}
+#endif

02/代码框架/build/CMakeFiles/3.10.2/CompilerIdCXX/CMakeCXXCompilerId.cpp

@@ -0,0 +1,576 @@
+/* This source file must have a .cpp extension so that all C++ compilers
+   recognize the extension without flags.  Borland does not know .cxx for
+   example.  */
+#ifndef __cplusplus
+# error "A C compiler has been selected for C++."
+#endif
+
+
+/* Version number components: V=Version, R=Revision, P=Patch
+   Version date components:   YYYY=Year, MM=Month,   DD=Day  */
+
+#if defined(__COMO__)
+# define COMPILER_ID "Comeau"
+  /* __COMO_VERSION__ = VRR */
+# define COMPILER_VERSION_MAJOR DEC(__COMO_VERSION__ / 100)
+# define COMPILER_VERSION_MINOR DEC(__COMO_VERSION__ % 100)
+
+#elif defined(__INTEL_COMPILER) || defined(__ICC)
+# define COMPILER_ID "Intel"
+# if defined(_MSC_VER)
+#  define SIMULATE_ID "MSVC"
+# endif
+  /* __INTEL_COMPILER = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__INTEL_COMPILER/100)
+# define COMPILER_VERSION_MINOR DEC(__INTEL_COMPILER/10 % 10)
+# if defined(__INTEL_COMPILER_UPDATE)
+#  define COMPILER_VERSION_PATCH DEC(__INTEL_COMPILER_UPDATE)
+# else
+#  define COMPILER_VERSION_PATCH DEC(__INTEL_COMPILER   % 10)
+# endif
+# if defined(__INTEL_COMPILER_BUILD_DATE)
+  /* __INTEL_COMPILER_BUILD_DATE = YYYYMMDD */
+#  define COMPILER_VERSION_TWEAK DEC(__INTEL_COMPILER_BUILD_DATE)
+# endif
+# if defined(_MSC_VER)
+   /* _MSC_VER = VVRR */
+#  define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+#  define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+
+#elif defined(__PATHCC__)
+# define COMPILER_ID "PathScale"
+# define COMPILER_VERSION_MAJOR DEC(__PATHCC__)
+# define COMPILER_VERSION_MINOR DEC(__PATHCC_MINOR__)
+# if defined(__PATHCC_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__PATHCC_PATCHLEVEL__)
+# endif
+
+#elif defined(__BORLANDC__) && defined(__CODEGEARC_VERSION__)
+# define COMPILER_ID "Embarcadero"
+# define COMPILER_VERSION_MAJOR HEX(__CODEGEARC_VERSION__>>24 & 0x00FF)
+# define COMPILER_VERSION_MINOR HEX(__CODEGEARC_VERSION__>>16 & 0x00FF)
+# define COMPILER_VERSION_PATCH DEC(__CODEGEARC_VERSION__     & 0xFFFF)
+
+#elif defined(__BORLANDC__)
+# define COMPILER_ID "Borland"
+  /* __BORLANDC__ = 0xVRR */
+# define COMPILER_VERSION_MAJOR HEX(__BORLANDC__>>8)
+# define COMPILER_VERSION_MINOR HEX(__BORLANDC__ & 0xFF)
+
+#elif defined(__WATCOMC__) && __WATCOMC__ < 1200
+# define COMPILER_ID "Watcom"
+   /* __WATCOMC__ = VVRR */
+# define COMPILER_VERSION_MAJOR DEC(__WATCOMC__ / 100)
+# define COMPILER_VERSION_MINOR DEC((__WATCOMC__ / 10) % 10)
+# if (__WATCOMC__ % 10) > 0
+#  define COMPILER_VERSION_PATCH DEC(__WATCOMC__ % 10)
+# endif
+
+#elif defined(__WATCOMC__)
+# define COMPILER_ID "OpenWatcom"
+   /* __WATCOMC__ = VVRP + 1100 */
+# define COMPILER_VERSION_MAJOR DEC((__WATCOMC__ - 1100) / 100)
+# define COMPILER_VERSION_MINOR DEC((__WATCOMC__ / 10) % 10)
+# if (__WATCOMC__ % 10) > 0
+#  define COMPILER_VERSION_PATCH DEC(__WATCOMC__ % 10)
+# endif
+
+#elif defined(__SUNPRO_CC)
+# define COMPILER_ID "SunPro"
+# if __SUNPRO_CC >= 0x5100
+   /* __SUNPRO_CC = 0xVRRP */
+#  define COMPILER_VERSION_MAJOR HEX(__SUNPRO_CC>>12)
+#  define COMPILER_VERSION_MINOR HEX(__SUNPRO_CC>>4 & 0xFF)
+#  define COMPILER_VERSION_PATCH HEX(__SUNPRO_CC    & 0xF)
+# else
+   /* __SUNPRO_CC = 0xVRP */
+#  define COMPILER_VERSION_MAJOR HEX(__SUNPRO_CC>>8)
+#  define COMPILER_VERSION_MINOR HEX(__SUNPRO_CC>>4 & 0xF)
+#  define COMPILER_VERSION_PATCH HEX(__SUNPRO_CC    & 0xF)
+# endif
+
+#elif defined(__HP_aCC)
+# define COMPILER_ID "HP"
+  /* __HP_aCC = VVRRPP */
+# define COMPILER_VERSION_MAJOR DEC(__HP_aCC/10000)
+# define COMPILER_VERSION_MINOR DEC(__HP_aCC/100 % 100)
+# define COMPILER_VERSION_PATCH DEC(__HP_aCC     % 100)
+
+#elif defined(__DECCXX)
+# define COMPILER_ID "Compaq"
+  /* __DECCXX_VER = VVRRTPPPP */
+# define COMPILER_VERSION_MAJOR DEC(__DECCXX_VER/10000000)
+# define COMPILER_VERSION_MINOR DEC(__DECCXX_VER/100000  % 100)
+# define COMPILER_VERSION_PATCH DEC(__DECCXX_VER         % 10000)
+
+#elif defined(__IBMCPP__) && defined(__COMPILER_VER__)
+# define COMPILER_ID "zOS"
+  /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__    % 10)
+
+#elif defined(__IBMCPP__) && !defined(__COMPILER_VER__) && __IBMCPP__ >= 800
+# define COMPILER_ID "XL"
+  /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__    % 10)
+
+#elif defined(__IBMCPP__) && !defined(__COMPILER_VER__) && __IBMCPP__ < 800
+# define COMPILER_ID "VisualAge"
+  /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__    % 10)
+
+#elif defined(__PGI)
+# define COMPILER_ID "PGI"
+# define COMPILER_VERSION_MAJOR DEC(__PGIC__)
+# define COMPILER_VERSION_MINOR DEC(__PGIC_MINOR__)
+# if defined(__PGIC_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__PGIC_PATCHLEVEL__)
+# endif
+
+#elif defined(_CRAYC)
+# define COMPILER_ID "Cray"
+# define COMPILER_VERSION_MAJOR DEC(_RELEASE_MAJOR)
+# define COMPILER_VERSION_MINOR DEC(_RELEASE_MINOR)
+
+#elif defined(__TI_COMPILER_VERSION__)
+# define COMPILER_ID "TI"
+  /* __TI_COMPILER_VERSION__ = VVVRRRPPP */
+# define COMPILER_VERSION_MAJOR DEC(__TI_COMPILER_VERSION__/1000000)
+# define COMPILER_VERSION_MINOR DEC(__TI_COMPILER_VERSION__/1000   % 1000)
+# define COMPILER_VERSION_PATCH DEC(__TI_COMPILER_VERSION__        % 1000)
+
+#elif defined(__FUJITSU) || defined(__FCC_VERSION) || defined(__fcc_version)
+# define COMPILER_ID "Fujitsu"
+
+#elif defined(__SCO_VERSION__)
+# define COMPILER_ID "SCO"
+
+#elif defined(__clang__) && defined(__apple_build_version__)
+# define COMPILER_ID "AppleClang"
+# if defined(_MSC_VER)
+#  define SIMULATE_ID "MSVC"
+# endif
+# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
+# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
+# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
+# if defined(_MSC_VER)
+   /* _MSC_VER = VVRR */
+#  define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+#  define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+# define COMPILER_VERSION_TWEAK DEC(__apple_build_version__)
+
+#elif defined(__clang__)
+# define COMPILER_ID "Clang"
+# if defined(_MSC_VER)
+#  define SIMULATE_ID "MSVC"
+# endif
+# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
+# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
+# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
+# if defined(_MSC_VER)
+   /* _MSC_VER = VVRR */
+#  define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+#  define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+
+#elif defined(__GNUC__) || defined(__GNUG__)
+# define COMPILER_ID "GNU"
+# if defined(__GNUC__)
+#  define COMPILER_VERSION_MAJOR DEC(__GNUC__)
+# else
+#  define COMPILER_VERSION_MAJOR DEC(__GNUG__)
+# endif
+# if defined(__GNUC_MINOR__)
+#  define COMPILER_VERSION_MINOR DEC(__GNUC_MINOR__)
+# endif
+# if defined(__GNUC_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
+# endif
+
+#elif defined(_MSC_VER)
+# define COMPILER_ID "MSVC"
+  /* _MSC_VER = VVRR */
+# define COMPILER_VERSION_MAJOR DEC(_MSC_VER / 100)
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+	$(CMAKE_COMMAND) -E cmake_progress_start /home/cs18/Desktop/games101_homework/02/代码框架/build/CMakeFiles 0
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+	@echo "... clean"
+	@echo "... depend"
+	@echo "... rebuild_cache"
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+	@echo "... edit_cache"
+	@echo "... Triangle.o"
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+	@echo "... main.i"
+	@echo "... main.s"
+	@echo "... rasterizer.o"
+	@echo "... rasterizer.i"
+	@echo "... rasterizer.s"
+.PHONY : help
+
+
+
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+# Special targets to cleanup operation of make.
+
+# Special rule to run CMake to check the build system integrity.
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+# because they might be regenerated.
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02/代码框架/build/cmake_install.cmake

@@ -0,0 +1,49 @@
+# Install script for directory: /home/cs18/Desktop/games101_homework/02/代码框架
+
+# Set the install prefix
+if(NOT DEFINED CMAKE_INSTALL_PREFIX)
+  set(CMAKE_INSTALL_PREFIX "/usr/local")
+endif()
+string(REGEX REPLACE "/$" "" CMAKE_INSTALL_PREFIX "${CMAKE_INSTALL_PREFIX}")
+
+# Set the install configuration name.
+if(NOT DEFINED CMAKE_INSTALL_CONFIG_NAME)
+  if(BUILD_TYPE)
+    string(REGEX REPLACE "^[^A-Za-z0-9_]+" ""
+           CMAKE_INSTALL_CONFIG_NAME "${BUILD_TYPE}")
+  else()
+    set(CMAKE_INSTALL_CONFIG_NAME "")
+  endif()
+  message(STATUS "Install configuration: \"${CMAKE_INSTALL_CONFIG_NAME}\"")
+endif()
+
+# Set the component getting installed.
+if(NOT CMAKE_INSTALL_COMPONENT)
+  if(COMPONENT)
+    message(STATUS "Install component: \"${COMPONENT}\"")
+    set(CMAKE_INSTALL_COMPONENT "${COMPONENT}")
+  else()
+    set(CMAKE_INSTALL_COMPONENT)
+  endif()
+endif()
+
+# Install shared libraries without execute permission?
+if(NOT DEFINED CMAKE_INSTALL_SO_NO_EXE)
+  set(CMAKE_INSTALL_SO_NO_EXE "1")
+endif()
+
+# Is this installation the result of a crosscompile?
+if(NOT DEFINED CMAKE_CROSSCOMPILING)
+  set(CMAKE_CROSSCOMPILING "FALSE")
+endif()
+
+if(CMAKE_INSTALL_COMPONENT)
+  set(CMAKE_INSTALL_MANIFEST "install_manifest_${CMAKE_INSTALL_COMPONENT}.txt")
+else()
+  set(CMAKE_INSTALL_MANIFEST "install_manifest.txt")
+endif()
+
+string(REPLACE ";" "\n" CMAKE_INSTALL_MANIFEST_CONTENT
+       "${CMAKE_INSTALL_MANIFEST_FILES}")
+file(WRITE "/home/cs18/Desktop/games101_homework/02/代码框架/build/${CMAKE_INSTALL_MANIFEST}"
+     "${CMAKE_INSTALL_MANIFEST_CONTENT}")

02/代码框架/global.hpp

@@ -0,0 +1,12 @@
+//
+// Created by LEI XU on 4/9/19.
+//
+
+#ifndef RASTERIZER_GLOBAL_H
+#define RASTERIZER_GLOBAL_H
+
+//#define MY_PI 3.1415926
+//#define TWO_PI (2.0* MY_PI)
+
+
+#endif //RASTERIZER_GLOBAL_H

02/代码框架/main.cpp

@@ -0,0 +1,166 @@
+// clang-format off
+#include <iostream>
+#include <opencv2/opencv.hpp>
+#include "rasterizer.hpp"
+#include "global.hpp"
+#include "Triangle.hpp"
+
+constexpr double MY_PI = 3.1415926;
+
+Eigen::Matrix4f get_view_matrix(Eigen::Vector3f eye_pos)
+{
+    Eigen::Matrix4f view = Eigen::Matrix4f::Identity();
+
+    Eigen::Matrix4f translate ;
+    translate << 1,0,0,-eye_pos[0],
+                 0,1,0,-eye_pos[1],
+                 0,0,1,-eye_pos[2],
+                 0,0,0,1;
+
+    view = translate*view;
+
+    return view;
+}
+
+Eigen::Matrix4f get_model_matrix(float rotation_angle)
+{
+    Eigen::Matrix4f model = Eigen::Matrix4f::Identity();
+    float r = rotation_angle/180.0* MY_PI;
+    
+    model <<
+    cos(r),-sin(r),0,0,
+    sin(r),cos(r),0,0,
+    0,0,1,0,
+    0,0,0,1;
+
+    
+    return model;
+}
+
+Eigen::Matrix4f get_projection_matrix(float eye_fov, float aspect_ratio, float zNear, float zFar)
+{
+    Eigen::Matrix4f projection = Eigen::Matrix4f::Identity();
+    Eigen::Matrix4f pro_to_ortho = Eigen::Matrix4f::Identity();
+    pro_to_ortho <<
+    zNear,0,0,0,
+    0,zNear,0,0,
+    0,0,zNear+zFar,-zNear*zFar,
+    0,0,1,0;
+
+    float half_eye_fov = eye_fov/2/180.0*MY_PI;
+    float top =zNear*tan(half_eye_fov);
+    float bottom = -top;
+    float right = aspect_ratio*top;
+    float left = -right;
+
+    Eigen::Matrix4f ortho_translate = Eigen::Matrix4f::Identity();
+    ortho_translate <<
+    2/(right-left),0,0,0,
+    0,2/(top-bottom),0,0,
+    0,0,2/(zNear-zFar),0,
+    0,0,0,1;
+
+    Eigen::Matrix4f ortho_scale = Eigen::Matrix4f::Identity();
+    ortho_scale<<
+    2/(right-left),0,0,0,
+    0,2/(top-bottom),0,0,
+    0,0,2/(zNear-zFar),-(zNear*zFar),
+    0,0,1,0;
+
+    projection = ortho_scale*ortho_translate*pro_to_ortho;
+    
+    
+    return projection;
+    
+}
+
+int main(int argc, const char** argv)
+{
+    float angle = 0;
+    bool command_line = false;
+    std::string filename = "output.png";
+
+    if (argc == 2)
+    {
+        command_line = true;
+        filename = std::string(argv[1]);
+    }
+
+    rst::rasterizer r(700, 700);
+
+    Eigen::Vector3f eye_pos = {0,0,5};
+
+
+    std::vector<Eigen::Vector3f> pos
+            {
+                    {2, 0, -2},
+                    {0, 2, -2},
+                    {-2, 0, -2},
+                    {3.5, -1, -5},
+                    {2.5, 1.5, -5},
+                    {-1, 0.5, -5}
+            };
+
+    std::vector<Eigen::Vector3i> ind
+            {
+                    {0, 1, 2},
+                    {3, 4, 5}
+            };
+
+    std::vector<Eigen::Vector3f> cols
+            {
+                    {217.0, 238.0, 185.0},
+                    {217.0, 238.0, 185.0},
+                    {217.0, 238.0, 185.0},
+                    {185.0, 217.0, 238.0},
+                    {185.0, 217.0, 238.0},
+                    {185.0, 217.0, 238.0}
+            };
+
+    auto pos_id = r.load_positions(pos);
+    auto ind_id = r.load_indices(ind);
+    auto col_id = r.load_colors(cols);
+
+    int key = 0;
+    int frame_count = 0;
+
+    if (command_line)
+    {
+        r.clear(rst::Buffers::Color | rst::Buffers::Depth);
+
+        r.set_model(get_model_matrix(angle));
+        r.set_view(get_view_matrix(eye_pos));
+        r.set_projection(get_projection_matrix(45, 1, 0.1, 50));
+
+        r.draw(pos_id, ind_id, col_id, rst::Primitive::Triangle);
+        cv::Mat image(700, 700, CV_32FC3, r.frame_buffer().data());
+        image.convertTo(image, CV_8UC3, 1.0f);
+        cv::cvtColor(image, image, cv::COLOR_RGB2BGR);
+
+        cv::imwrite(filename, image);
+
+        return 0;
+    }
+
+    while(key != 27)
+    {
+        r.clear(rst::Buffers::Color | rst::Buffers::Depth);
+
+        r.set_model(get_model_matrix(angle));
+        r.set_view(get_view_matrix(eye_pos));
+        r.set_projection(get_projection_matrix(45, 1, 0.1, 50));
+
+        r.draw(pos_id, ind_id, col_id, rst::Primitive::Triangle);
+
+        cv::Mat image(700, 700, CV_32FC3, r.frame_buffer().data());
+        image.convertTo(image, CV_8UC3, 1.0f);
+        cv::cvtColor(image, image, cv::COLOR_RGB2BGR);
+        cv::imshow("image", image);
+        key = cv::waitKey(10);
+
+        std::cout << "frame count: " << frame_count++ << '\n';
+    }
+
+    return 0;
+}
+// clang-format on

02/代码框架/rasterizer.cpp

@@ -0,0 +1,243 @@
+// clang-format off
+//
+// Created by goksu on 4/6/19.
+//
+
+#include <algorithm>
+#include <vector>
+#include "rasterizer.hpp"
+#include <opencv2/opencv.hpp>
+#include <math.h>
+
+
+rst::pos_buf_id rst::rasterizer::load_positions(const std::vector<Eigen::Vector3f> &positions)
+{
+    auto id = get_next_id();
+    pos_buf.emplace(id, positions);
+
+    return {id};
+}
+
+rst::ind_buf_id rst::rasterizer::load_indices(const std::vector<Eigen::Vector3i> &indices)
+{
+    auto id = get_next_id();
+    ind_buf.emplace(id, indices);
+
+    return {id};
+}
+
+rst::col_buf_id rst::rasterizer::load_colors(const std::vector<Eigen::Vector3f> &cols)
+{
+    auto id = get_next_id();
+    col_buf.emplace(id, cols);
+
+    return {id};
+}
+
+auto to_vec4(const Eigen::Vector3f& v3, float w = 1.0f)
+{
+    return Vector4f(v3.x(), v3.y(), v3.z(), w);
+}
+
+
+static bool insideTriangle(int x, int y, const Vector3f* _v)
+{   
+    //side vector
+    Eigen::Vector2f side1;
+    side1 << _v[0].x()-_v[1].x(),_v[0].y()-_v[1].y();
+    Eigen::Vector2f side2;
+    side2 << _v[2].x()-_v[0].x(),_v[2].y()-_v[0].y();
+    Eigen::Vector2f side3;
+    side3 << _v[1].x()-_v[2].x(),_v[1].y()-_v[2].y();
+
+    //vector between testPoint and vertex of triangle
+    Eigen::Vector2f po1;
+    po1 << x-_v[0].x(),y-_v[0].y();
+    Eigen::Vector2f po2;
+    po2 << x-_v[1].x(),y-_v[1].y();
+    Eigen::Vector2f po3;
+    po3 << x-_v[2].x(),y-_v[2].y();
+
+    //cross product
+    float z1 = side1.x()*po1.y()-side1.y()*po1.x();
+    float z2 = side2.x()*po2.y()-side2.y()*po2.x();
+    float z3 = side3.x()*po3.y()-side3.y()*po3.x();
+
+    //if they have the same character,the point is inside the triangle
+    if((z1<0 && z2<0  && z3<0 )||(z1>0 && z2>0 && z3>0))
+    {
+        return true;
+    }
+    else
+    {
+        return false;
+    }
+        
+
+
+    
+    // TODO : Implement this function to check if the point (x, y) is inside the triangle represented by _v[0], _v[1], _v[2]
+}
+
+static std::tuple<float, float, float> computeBarycentric2D(float x, float y, const Vector3f* v)
+{
+    float c1 = (x*(v[1].y() - v[2].y()) + (v[2].x() - v[1].x())*y + v[1].x()*v[2].y() - v[2].x()*v[1].y()) / (v[0].x()*(v[1].y() - v[2].y()) + (v[2].x() - v[1].x())*v[0].y() + v[1].x()*v[2].y() - v[2].x()*v[1].y());
+    float c2 = (x*(v[2].y() - v[0].y()) + (v[0].x() - v[2].x())*y + v[2].x()*v[0].y() - v[0].x()*v[2].y()) / (v[1].x()*(v[2].y() - v[0].y()) + (v[0].x() - v[2].x())*v[1].y() + v[2].x()*v[0].y() - v[0].x()*v[2].y());
+    float c3 = (x*(v[0].y() - v[1].y()) + (v[1].x() - v[0].x())*y + v[0].x()*v[1].y() - v[1].x()*v[0].y()) / (v[2].x()*(v[0].y() - v[1].y()) + (v[1].x() - v[0].x())*v[2].y() + v[0].x()*v[1].y() - v[1].x()*v[0].y());
+    return {c1,c2,c3};
+}
+
+void rst::rasterizer::draw(pos_buf_id pos_buffer, ind_buf_id ind_buffer, col_buf_id col_buffer, Primitive type)
+{
+    auto& buf = pos_buf[pos_buffer.pos_id];
+    auto& ind = ind_buf[ind_buffer.ind_id];
+    auto& col = col_buf[col_buffer.col_id];
+
+    float f1 = (50 - 0.1) / 2.0;
+    float f2 = (50 + 0.1) / 2.0;
+
+    Eigen::Matrix4f mvp = projection * view * model;
+    for (auto& i : ind)
+    {
+        Triangle t;
+        Eigen::Vector4f v[] = {
+                mvp * to_vec4(buf[i[0]], 1.0f),
+                mvp * to_vec4(buf[i[1]], 1.0f),
+                mvp * to_vec4(buf[i[2]], 1.0f)
+        };
+        //Homogeneous division
+        for (auto& vec : v) {
+            vec /= vec.w();
+        }
+        //Viewport transformation
+        for (auto & vert : v)
+        {
+            vert.x() = 0.5*width*(vert.x()+1.0);
+            vert.y() = 0.5*height*(vert.y()+1.0);
+            vert.z() = vert.z() * f1 + f2;
+        }
+
+        for (int i = 0; i < 3; ++i)
+        {
+            t.setVertex(i, v[i].head<3>());
+            t.setVertex(i, v[i].head<3>());
+            t.setVertex(i, v[i].head<3>());
+        }
+
+        auto col_x = col[i[0]];
+        auto col_y = col[i[1]];
+        auto col_z = col[i[2]];
+
+        t.setColor(0, col_x[0], col_x[1], col_x[2]);
+        t.setColor(1, col_y[0], col_y[1], col_y[2]);
+        t.setColor(2, col_z[0], col_z[1], col_z[2]);
+
+        rasterize_triangle(t);
+    }
+}
+
+//Screen space rasterization
+void rst::rasterizer::rasterize_triangle(const Triangle& t) {
+    auto v = t.toVector4();
+    //bounding box
+    float max_x= std::max(v[0].x(),std::max(v[1].x(),v[2].x()));
+    float min_x= std::min(v[0].x(),std::min(v[1].x(),v[2].x()));
+    float max_y= std::max(v[0].y(),std::max(v[1].y(),v[2].y()));
+    float min_y= std::min(v[0].y(),std::min(v[1].y(),v[2].y()));
+
+    for(int x =min_x;x <= max_x;x++)
+    {
+        for(int y = min_y;y <= max_y;y++)
+        {
+            if(insideTriangle(x,y,t.v))
+            {
+                //以下是计算插值的内容，暂时看不懂,先抄别人博客补全
+				//最小深度，默认是无穷远
+				float min_depth = FLT_MAX;
+
+				//如果在三角形内部，计算当前深度,得到当前最小深度
+				auto tup = computeBarycentric2D(x, y, t.v);
+
+				float alpha , beta, gamma;
+				std::tie(alpha, beta, gamma) = tup;
+				float w_reciprocal = 1.0 / (alpha / v[0].w() + beta / v[1].w() + gamma / v[2].w());
+				float z_interpolated = alpha * v[0].z() / v[0].w() + beta * v[1].z() / v[1].w() + gamma * v[2].z() / v[2].w();
+				z_interpolated *= w_reciprocal;
+				
+
+				//如果x,y所在点的深度小于z-buffer的深度，
+				if (z_interpolated<depth_buf[get_index(x,y)])
+				{
+					//获得最上层应该渲染的颜色
+					Vector3f color = t.getColor();
+					Vector3f point;
+					point << x, y, min_depth;
+					//更新深度
+					depth_buf[get_index(x, y)] = z_interpolated;
+					//更新所在点的颜色
+					set_pixel(point, color);
+				}
+
+
+            }
+        }
+    }
+    // TODO : Find out the bounding box of current triangle.
+    // iterate through the pixel and find if the current pixel is inside the triangle
+
+    // If so, use the following code to get the interpolated z value.
+    //
+    //
+    //
+    //z_interpolated *= w_reciprocal;
+
+    // TODO : set the current pixel (use the set_pixel function) to the color of the triangle (use getColor function) if it should be painted.
+}
+
+void rst::rasterizer::set_model(const Eigen::Matrix4f& m)
+{
+    model = m;
+}
+
+void rst::rasterizer::set_view(const Eigen::Matrix4f& v)
+{
+    view = v;
+}
+
+void rst::rasterizer::set_projection(const Eigen::Matrix4f& p)
+{
+    projection = p;
+}
+
+void rst::rasterizer::clear(rst::Buffers buff)
+{
+    if ((buff & rst::Buffers::Color) == rst::Buffers::Color)
+    {
+        std::fill(frame_buf.begin(), frame_buf.end(), Eigen::Vector3f{0, 0, 0});
+    }
+    if ((buff & rst::Buffers::Depth) == rst::Buffers::Depth)
+    {
+        std::fill(depth_buf.begin(), depth_buf.end(), std::numeric_limits<float>::infinity());
+    }
+}
+
+rst::rasterizer::rasterizer(int w, int h) : width(w), height(h)
+{
+    frame_buf.resize(w * h);
+    depth_buf.resize(w * h);
+}
+
+int rst::rasterizer::get_index(int x, int y)
+{
+    return (height-1-y)*width + x;
+}
+
+void rst::rasterizer::set_pixel(const Eigen::Vector3f& point, const Eigen::Vector3f& color)
+{
+    //old index: auto ind = point.y() + point.x() * width;
+    auto ind = (height-1-point.y())*width + point.x();
+    frame_buf[ind] = color;
+
+}
+
+// clang-format on

02/代码框架/rasterizer.hpp

@@ -0,0 +1,103 @@
+//
+// Created by goksu on 4/6/19.
+//
+
+#pragma once
+
+#include <eigen3/Eigen/Eigen>
+#include <algorithm>
+#include "global.hpp"
+#include "Triangle.hpp"
+using namespace Eigen;
+
+namespace rst
+{
+    enum class Buffers
+    {
+        Color = 1,
+        Depth = 2
+    };
+
+    inline Buffers operator|(Buffers a, Buffers b)
+    {
+        return Buffers((int)a | (int)b);
+    }
+
+    inline Buffers operator&(Buffers a, Buffers b)
+    {
+        return Buffers((int)a & (int)b);
+    }
+
+    enum class Primitive
+    {
+        Line,
+        Triangle
+    };
+
+    /*
+     * For the curious : The draw function takes two buffer id's as its arguments. These two structs
+     * make sure that if you mix up with their orders, the compiler won't compile it.
+     * Aka : Type safety
+     * */
+    struct pos_buf_id
+    {
+        int pos_id = 0;
+    };
+
+    struct ind_buf_id
+    {
+        int ind_id = 0;
+    };
+
+    struct col_buf_id
+    {
+        int col_id = 0;
+    };
+
+    class rasterizer
+    {
+    public:
+        rasterizer(int w, int h);
+        pos_buf_id load_positions(const std::vector<Eigen::Vector3f>& positions);
+        ind_buf_id load_indices(const std::vector<Eigen::Vector3i>& indices);
+        col_buf_id load_colors(const std::vector<Eigen::Vector3f>& colors);
+
+        void set_model(const Eigen::Matrix4f& m);
+        void set_view(const Eigen::Matrix4f& v);
+        void set_projection(const Eigen::Matrix4f& p);
+
+        void set_pixel(const Eigen::Vector3f& point, const Eigen::Vector3f& color);
+
+        void clear(Buffers buff);
+
+        void draw(pos_buf_id pos_buffer, ind_buf_id ind_buffer, col_buf_id col_buffer, Primitive type);
+
+        std::vector<Eigen::Vector3f>& frame_buffer() { return frame_buf; }
+
+    private:
+        void draw_line(Eigen::Vector3f begin, Eigen::Vector3f end);
+
+        void rasterize_triangle(const Triangle& t);
+
+        // VERTEX SHADER -> MVP -> Clipping -> /.W -> VIEWPORT -> DRAWLINE/DRAWTRI -> FRAGSHADER
+
+    private:
+        Eigen::Matrix4f model;
+        Eigen::Matrix4f view;
+        Eigen::Matrix4f projection;
+
+        std::map<int, std::vector<Eigen::Vector3f>> pos_buf;
+        std::map<int, std::vector<Eigen::Vector3i>> ind_buf;
+        std::map<int, std::vector<Eigen::Vector3f>> col_buf;
+
+        std::vector<Eigen::Vector3f> frame_buf;
+
+        std::vector<float> depth_buf;
+        int get_index(int x, int y);
+
+        int width, height;
+
+        int next_id = 0;
+        int get_next_id() { return next_id++; }
+    };
+}

03/Code/CMakeLists.txt

@@ -0,0 +1,12 @@
+cmake_minimum_required(VERSION 3.10)
+project(Rasterizer)
+
+find_package(OpenCV REQUIRED)
+
+set(CMAKE_CXX_STANDARD 17)
+
+include_directories(/usr/local/include ./include)
+
+add_executable(Rasterizer main.cpp rasterizer.hpp rasterizer.cpp global.hpp Triangle.hpp Triangle.cpp Texture.hpp Texture.cpp Shader.hpp OBJ_Loader.h)
+target_link_libraries(Rasterizer ${OpenCV_LIBRARIES})
+#target_compile_options(Rasterizer PUBLIC -Wall -Wextra -pedantic)

03/Code/Shader.hpp

@@ -0,0 +1,34 @@
+//
+// Created by LEI XU on 4/27/19.
+//
+
+#ifndef RASTERIZER_SHADER_H
+#define RASTERIZER_SHADER_H
+#include <eigen3/Eigen/Eigen>
+#include "Texture.hpp"
+
+
+struct fragment_shader_payload
+{
+    fragment_shader_payload()
+    {
+        texture = nullptr;
+    }
+
+    fragment_shader_payload(const Eigen::Vector3f& col, const Eigen::Vector3f& nor,const Eigen::Vector2f& tc, Texture* tex) :
+         color(col), normal(nor), tex_coords(tc), texture(tex) {}
+
+
+    Eigen::Vector3f view_pos;
+    Eigen::Vector3f color;
+    Eigen::Vector3f normal;
+    Eigen::Vector2f tex_coords;
+    Texture* texture;
+};
+
+struct vertex_shader_payload
+{
+    Eigen::Vector3f position;
+};
+
+#endif //RASTERIZER_SHADER_H

03/Code/Texture.cpp

@@ -0,0 +1,4 @@
+//
+// Created by LEI XU on 4/27/19.
+//
+

03/Code/Texture.hpp

@@ -0,0 +1,34 @@
+//
+// Created by LEI XU on 4/27/19.
+//
+
+#ifndef RASTERIZER_TEXTURE_H
+#define RASTERIZER_TEXTURE_H
+#include "global.hpp"
+#include <eigen3/Eigen/Eigen>
+#include <opencv2/opencv.hpp>
+class Texture{
+private:
+    cv::Mat image_data;
+
+public:
+    Texture(const std::string& name)
+    {
+        image_data = cv::imread(name);
+        cv::cvtColor(image_data, image_data, cv::COLOR_RGB2BGR);
+        width = image_data.cols;
+        height = image_data.rows;
+    }
+
+    int width, height;
+
+    Eigen::Vector3f getColor(float u, float v)
+    {
+        auto u_img = u * width;
+        auto v_img = (1 - v) * height;
+        auto color = image_data.at<cv::Vec3b>(v_img, u_img);
+        return Eigen::Vector3f(color[0], color[1], color[2]);
+    }
+
+};
+#endif //RASTERIZER_TEXTURE_H

03/Code/Triangle.cpp

@@ -0,0 +1,65 @@
+//
+// Created by LEI XU on 4/11/19.
+//
+
+#include "Triangle.hpp"
+#include <algorithm>
+#include <array>
+
+Triangle::Triangle() {
+    v[0] << 0,0,0,1;
+    v[1] << 0,0,0,1;
+    v[2] << 0,0,0,1;
+
+    color[0] << 0.0, 0.0, 0.0;
+    color[1] << 0.0, 0.0, 0.0;
+    color[2] << 0.0, 0.0, 0.0;
+
+    tex_coords[0] << 0.0, 0.0;
+    tex_coords[1] << 0.0, 0.0;
+    tex_coords[2] << 0.0, 0.0;
+}
+
+void Triangle::setVertex(int ind, Vector4f ver){
+    v[ind] = ver;
+}
+void Triangle::setNormal(int ind, Vector3f n){
+    normal[ind] = n;
+}
+void Triangle::setColor(int ind, float r, float g, float b) {
+    if((r<0.0) || (r>255.) ||
+       (g<0.0) || (g>255.) ||
+       (b<0.0) || (b>255.)) {
+        fprintf(stderr, "ERROR! Invalid color values");
+        fflush(stderr);
+        exit(-1);
+    }
+
+    color[ind] = Vector3f((float)r/255.,(float)g/255.,(float)b/255.);
+    return;
+}
+void Triangle::setTexCoord(int ind, Vector2f uv) {
+    tex_coords[ind] = uv;
+}
+
+std::array<Vector4f, 3> Triangle::toVector4() const
+{
+    std::array<Vector4f, 3> res;
+    std::transform(std::begin(v), std::end(v), res.begin(), [](auto& vec) { return Vector4f(vec.x(), vec.y(), vec.z(), 1.f); });
+    return res;
+}
+
+void Triangle::setNormals(const std::array<Vector3f, 3>& normals)
+{
+    normal[0] = normals[0];
+    normal[1] = normals[1];
+    normal[2] = normals[2];
+}
+
+void Triangle::setColors(const std::array<Vector3f, 3>& colors)
+{
+    auto first_color = colors[0];
+    setColor(0, colors[0][0], colors[0][1], colors[0][2]);
+    setColor(1, colors[1][0], colors[1][1], colors[1][2]);
+    setColor(2, colors[2][0], colors[2][1], colors[2][2]);
+}

03/Code/Triangle.hpp

@@ -0,0 +1,43 @@
+//
+// Created by LEI XU on 4/11/19.
+//
+
+#ifndef RASTERIZER_TRIANGLE_H
+#define RASTERIZER_TRIANGLE_H
+
+#include <eigen3/Eigen/Eigen>
+#include "Texture.hpp"
+
+using namespace Eigen;
+class Triangle{
+
+public:
+    Vector4f v[3]; /*the original coordinates of the triangle, v0, v1, v2 in counter clockwise order*/
+    /*Per vertex values*/
+    Vector3f color[3]; //color at each vertex;
+    Vector2f tex_coords[3]; //texture u,v
+    Vector3f normal[3]; //normal vector for each vertex
+
+    Texture *tex= nullptr;
+    Triangle();
+
+    Eigen::Vector4f a() const { return v[0]; }
+    Eigen::Vector4f b() const { return v[1]; }
+    Eigen::Vector4f c() const { return v[2]; }
+
+    void setVertex(int ind, Vector4f ver); /*set i-th vertex coordinates */
+    void setNormal(int ind, Vector3f n); /*set i-th vertex normal vector*/
+    void setColor(int ind, float r, float g, float b); /*set i-th vertex color*/
+
+    void setNormals(const std::array<Vector3f, 3>& normals);
+    void setColors(const std::array<Vector3f, 3>& colors);
+    void setTexCoord(int ind,Vector2f uv ); /*set i-th vertex texture coordinate*/
+    std::array<Vector4f, 3> toVector4() const;
+};
+
+
+
+
+
+
+#endif //RASTERIZER_TRIANGLE_H

03/Code/build/CMakeCache.txt

@@ -0,0 +1,335 @@
+# This is the CMakeCache file.
+# For build in directory: /home/cs18/Desktop/games101_homework/03/Code/build
+# It was generated by CMake: /usr/bin/cmake
+# You can edit this file to change values found and used by cmake.
+# If you do not want to change any of the values, simply exit the editor.
+# If you do want to change a value, simply edit, save, and exit the editor.
+# The syntax for the file is as follows:
+# KEY:TYPE=VALUE
+# KEY is the name of a variable in the cache.
+# TYPE is a hint to GUIs for the type of VALUE, DO NOT EDIT TYPE!.
+# VALUE is the current value for the KEY.
+
+########################
+# EXTERNAL cache entries
+########################
+
+//Path to a program.
+CMAKE_AR:FILEPATH=/usr/bin/ar
+
+//Choose the type of build, options are: None(CMAKE_CXX_FLAGS or
+// CMAKE_C_FLAGS used) Debug Release RelWithDebInfo MinSizeRel.
+CMAKE_BUILD_TYPE:STRING=
+
+//Enable/Disable color output during build.
+CMAKE_COLOR_MAKEFILE:BOOL=ON
+
+//CXX compiler
+CMAKE_CXX_COMPILER:FILEPATH=/usr/bin/c++
+
+//A wrapper around 'ar' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_CXX_COMPILER_AR:FILEPATH=/usr/bin/gcc-ar-7
+
+//A wrapper around 'ranlib' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_CXX_COMPILER_RANLIB:FILEPATH=/usr/bin/gcc-ranlib-7
+
+//Flags used by the compiler during all build types.
+CMAKE_CXX_FLAGS:STRING=
+
+//Flags used by the compiler during debug builds.
+CMAKE_CXX_FLAGS_DEBUG:STRING=-g
+
+//Flags used by the compiler during release builds for minimum
+// size.
+CMAKE_CXX_FLAGS_MINSIZEREL:STRING=-Os -DNDEBUG
+
+//Flags used by the compiler during release builds.
+CMAKE_CXX_FLAGS_RELEASE:STRING=-O3 -DNDEBUG
+
+//Flags used by the compiler during release builds with debug info.
+CMAKE_CXX_FLAGS_RELWITHDEBINFO:STRING=-O2 -g -DNDEBUG
+
+//C compiler
+CMAKE_C_COMPILER:FILEPATH=/usr/bin/cc
+
+//A wrapper around 'ar' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_C_COMPILER_AR:FILEPATH=/usr/bin/gcc-ar-7
+
+//A wrapper around 'ranlib' adding the appropriate '--plugin' option
+// for the GCC compiler
+CMAKE_C_COMPILER_RANLIB:FILEPATH=/usr/bin/gcc-ranlib-7
+
+//Flags used by the compiler during all build types.
+CMAKE_C_FLAGS:STRING=
+
+//Flags used by the compiler during debug builds.
+CMAKE_C_FLAGS_DEBUG:STRING=-g
+
+//Flags used by the compiler during release builds for minimum
+// size.
+CMAKE_C_FLAGS_MINSIZEREL:STRING=-Os -DNDEBUG
+
+//Flags used by the compiler during release builds.
+CMAKE_C_FLAGS_RELEASE:STRING=-O3 -DNDEBUG
+
+//Flags used by the compiler during release builds with debug info.
+CMAKE_C_FLAGS_RELWITHDEBINFO:STRING=-O2 -g -DNDEBUG
+
+//Flags used by the linker.
+CMAKE_EXE_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_EXE_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_EXE_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_EXE_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_EXE_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//Enable/Disable output of compile commands during generation.
+CMAKE_EXPORT_COMPILE_COMMANDS:BOOL=OFF
+
+//Install path prefix, prepended onto install directories.
+CMAKE_INSTALL_PREFIX:PATH=/usr/local
+
+//Path to a program.
+CMAKE_LINKER:FILEPATH=/usr/bin/ld
+
+//Path to a program.
+CMAKE_MAKE_PROGRAM:FILEPATH=/usr/bin/make
+
+//Flags used by the linker during the creation of modules.
+CMAKE_MODULE_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_MODULE_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_MODULE_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_MODULE_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_MODULE_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//Path to a program.
+CMAKE_NM:FILEPATH=/usr/bin/nm
+
+//Path to a program.
+CMAKE_OBJCOPY:FILEPATH=/usr/bin/objcopy
+
+//Path to a program.
+CMAKE_OBJDUMP:FILEPATH=/usr/bin/objdump
+
+//Value Computed by CMake
+CMAKE_PROJECT_NAME:STATIC=Rasterizer
+
+//Path to a program.
+CMAKE_RANLIB:FILEPATH=/usr/bin/ranlib
+
+//Flags used by the linker during the creation of dll's.
+CMAKE_SHARED_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_SHARED_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_SHARED_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_SHARED_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_SHARED_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//If set, runtime paths are not added when installing shared libraries,
+// but are added when building.
+CMAKE_SKIP_INSTALL_RPATH:BOOL=NO
+
+//If set, runtime paths are not added when using shared libraries.
+CMAKE_SKIP_RPATH:BOOL=NO
+
+//Flags used by the linker during the creation of static libraries.
+CMAKE_STATIC_LINKER_FLAGS:STRING=
+
+//Flags used by the linker during debug builds.
+CMAKE_STATIC_LINKER_FLAGS_DEBUG:STRING=
+
+//Flags used by the linker during release minsize builds.
+CMAKE_STATIC_LINKER_FLAGS_MINSIZEREL:STRING=
+
+//Flags used by the linker during release builds.
+CMAKE_STATIC_LINKER_FLAGS_RELEASE:STRING=
+
+//Flags used by the linker during Release with Debug Info builds.
+CMAKE_STATIC_LINKER_FLAGS_RELWITHDEBINFO:STRING=
+
+//Path to a program.
+CMAKE_STRIP:FILEPATH=/usr/bin/strip
+
+//If this value is on, makefiles will be generated without the
+// .SILENT directive, and all commands will be echoed to the console
+// during the make.  This is useful for debugging only. With Visual
+// Studio IDE projects all commands are done without /nologo.
+CMAKE_VERBOSE_MAKEFILE:BOOL=FALSE
+
+//The directory containing a CMake configuration file for OpenCV.
+OpenCV_DIR:PATH=/usr/share/OpenCV
+
+//Value Computed by CMake
+Rasterizer_BINARY_DIR:STATIC=/home/cs18/Desktop/games101_homework/03/Code/build
+
+//Value Computed by CMake
+Rasterizer_SOURCE_DIR:STATIC=/home/cs18/Desktop/games101_homework/03/Code
+
+
+########################
+# INTERNAL cache entries
+########################
+
+//ADVANCED property for variable: CMAKE_AR
+CMAKE_AR-ADVANCED:INTERNAL=1
+//This is the directory where this CMakeCache.txt was created
+CMAKE_CACHEFILE_DIR:INTERNAL=/home/cs18/Desktop/games101_homework/03/Code/build
+//Major version of cmake used to create the current loaded cache
+CMAKE_CACHE_MAJOR_VERSION:INTERNAL=3
+//Minor version of cmake used to create the current loaded cache
+CMAKE_CACHE_MINOR_VERSION:INTERNAL=10
+//Patch version of cmake used to create the current loaded cache
+CMAKE_CACHE_PATCH_VERSION:INTERNAL=2
+//ADVANCED property for variable: CMAKE_COLOR_MAKEFILE
+CMAKE_COLOR_MAKEFILE-ADVANCED:INTERNAL=1
+//Path to CMake executable.
+CMAKE_COMMAND:INTERNAL=/usr/bin/cmake
+//Path to cpack program executable.
+CMAKE_CPACK_COMMAND:INTERNAL=/usr/bin/cpack
+//Path to ctest program executable.
+CMAKE_CTEST_COMMAND:INTERNAL=/usr/bin/ctest
+//ADVANCED property for variable: CMAKE_CXX_COMPILER
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