Many changes; started refactor in gmtypes2.py

The existing code adds the fourth channel to the background image directly inside 'forward'. However, this breaks back propagation because Torch's autograd framework records the shapes of all inputs to the 'forward' function and expects shapes passed to 'backward' to match. By adding a channel to the background image inside 'forward' and passing this to 'backward', there is an extra channel that autograd does not expect, and it crashes.

The resolution is to instead raise an exception with a useful error message for the end user that they need to add a channel of all ones to the background image.

.gitignore

@@ -1,4 +1,5 @@
 build
+gradientmesh/test_data/examples
 apps/results
 apps/files
 apps/__pycache__

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+   /* __SUNPRO_C = 0xVRRP */
+#  define COMPILER_VERSION_MAJOR HEX(__SUNPRO_C>>12)
+#  define COMPILER_VERSION_MINOR HEX(__SUNPRO_C>>4 & 0xFF)
+#  define COMPILER_VERSION_PATCH HEX(__SUNPRO_C    & 0xF)
+# else
+   /* __SUNPRO_CC = 0xVRP */
+#  define COMPILER_VERSION_MAJOR HEX(__SUNPRO_C>>8)
+#  define COMPILER_VERSION_MINOR HEX(__SUNPRO_C>>4 & 0xF)
+#  define COMPILER_VERSION_PATCH HEX(__SUNPRO_C    & 0xF)
+# endif
+
+#elif defined(__HP_cc)
+# define COMPILER_ID "HP"
+  /* __HP_cc = VVRRPP */
+# define COMPILER_VERSION_MAJOR DEC(__HP_cc/10000)
+# define COMPILER_VERSION_MINOR DEC(__HP_cc/100 % 100)
+# define COMPILER_VERSION_PATCH DEC(__HP_cc     % 100)
+
+#elif defined(__DECC)
+# define COMPILER_ID "Compaq"
+  /* __DECC_VER = VVRRTPPPP */
+# define COMPILER_VERSION_MAJOR DEC(__DECC_VER/10000000)
+# define COMPILER_VERSION_MINOR DEC(__DECC_VER/100000  % 100)
+# define COMPILER_VERSION_PATCH DEC(__DECC_VER         % 10000)
+
+#elif defined(__IBMC__) && defined(__COMPILER_VER__)
+# define COMPILER_ID "zOS"
+  /* __IBMC__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMC__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMC__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMC__    % 10)
+
+#elif defined(__open_xl__) && defined(__clang__)
+# define COMPILER_ID "IBMClang"
+# define COMPILER_VERSION_MAJOR DEC(__open_xl_version__)
+# define COMPILER_VERSION_MINOR DEC(__open_xl_release__)
+# define COMPILER_VERSION_PATCH DEC(__open_xl_modification__)
+# define COMPILER_VERSION_TWEAK DEC(__open_xl_ptf_fix_level__)
+
+
+#elif defined(__ibmxl__) && defined(__clang__)
+# define COMPILER_ID "XLClang"
+# define COMPILER_VERSION_MAJOR DEC(__ibmxl_version__)
+# define COMPILER_VERSION_MINOR DEC(__ibmxl_release__)
+# define COMPILER_VERSION_PATCH DEC(__ibmxl_modification__)
+# define COMPILER_VERSION_TWEAK DEC(__ibmxl_ptf_fix_level__)
+
+
+#elif defined(__IBMC__) && !defined(__COMPILER_VER__) && __IBMC__ >= 800
+# define COMPILER_ID "XL"
+  /* __IBMC__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMC__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMC__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMC__    % 10)
+
+#elif defined(__IBMC__) && !defined(__COMPILER_VER__) && __IBMC__ < 800
+# define COMPILER_ID "VisualAge"
+  /* __IBMC__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMC__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMC__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMC__    % 10)
+
+#elif defined(__NVCOMPILER)
+# define COMPILER_ID "NVHPC"
+# define COMPILER_VERSION_MAJOR DEC(__NVCOMPILER_MAJOR__)
+# define COMPILER_VERSION_MINOR DEC(__NVCOMPILER_MINOR__)
+# if defined(__NVCOMPILER_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__NVCOMPILER_PATCHLEVEL__)
+# endif
+
+#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(__CLANG_FUJITSU)
+# define COMPILER_ID "FujitsuClang"
+# define COMPILER_VERSION_MAJOR DEC(__FCC_major__)
+# define COMPILER_VERSION_MINOR DEC(__FCC_minor__)
+# define COMPILER_VERSION_PATCH DEC(__FCC_patchlevel__)
+# define COMPILER_VERSION_INTERNAL_STR __clang_version__
+
+
+#elif defined(__FUJITSU)
+# define COMPILER_ID "Fujitsu"
+# if defined(__FCC_version__)
+#   define COMPILER_VERSION __FCC_version__
+# elif defined(__FCC_major__)
+#   define COMPILER_VERSION_MAJOR DEC(__FCC_major__)
+#   define COMPILER_VERSION_MINOR DEC(__FCC_minor__)
+#   define COMPILER_VERSION_PATCH DEC(__FCC_patchlevel__)
+# endif
+# if defined(__fcc_version)
+#   define COMPILER_VERSION_INTERNAL DEC(__fcc_version)
+# elif defined(__FCC_VERSION)
+#   define COMPILER_VERSION_INTERNAL DEC(__FCC_VERSION)
+# endif
+
+
+#elif defined(__ghs__)
+# define COMPILER_ID "GHS"
+/* __GHS_VERSION_NUMBER = VVVVRP */
+# ifdef __GHS_VERSION_NUMBER
+# define COMPILER_VERSION_MAJOR DEC(__GHS_VERSION_NUMBER / 100)
+# define COMPILER_VERSION_MINOR DEC(__GHS_VERSION_NUMBER / 10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__GHS_VERSION_NUMBER      % 10)
+# endif
+
+#elif defined(__TASKING__)
+# define COMPILER_ID "Tasking"
+  # define COMPILER_VERSION_MAJOR DEC(__VERSION__/1000)
+  # define COMPILER_VERSION_MINOR DEC(__VERSION__ % 100)
+# define COMPILER_VERSION_INTERNAL DEC(__VERSION__)
+
+#elif defined(__TINYC__)
+# define COMPILER_ID "TinyCC"
+
+#elif defined(__BCC__)
+# define COMPILER_ID "Bruce"
+
+#elif defined(__SCO_VERSION__)
+# define COMPILER_ID "SCO"
+
+#elif defined(__ARMCC_VERSION) && !defined(__clang__)
+# 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(__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__) && defined(__ARMCOMPILER_VERSION)
+# define COMPILER_ID "ARMClang"
+  # define COMPILER_VERSION_MAJOR DEC(__ARMCOMPILER_VERSION/1000000)
+  # define COMPILER_VERSION_MINOR DEC(__ARMCOMPILER_VERSION/10000 % 100)
+  # define COMPILER_VERSION_PATCH DEC(__ARMCOMPILER_VERSION     % 10000)
+# define COMPILER_VERSION_INTERNAL DEC(__ARMCOMPILER_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(__LCC__) && (defined(__GNUC__) || defined(__GNUG__) || defined(__MCST__))
+# define COMPILER_ID "LCC"
+# define COMPILER_VERSION_MAJOR DEC(__LCC__ / 100)
+# define COMPILER_VERSION_MINOR DEC(__LCC__ % 100)
+# if defined(__LCC_MINOR__)
+#  define COMPILER_VERSION_PATCH DEC(__LCC_MINOR__)
+# endif
+# if defined(__GNUC__) && defined(__GNUC_MINOR__)
+#  define SIMULATE_ID "GNU"
+#  define SIMULATE_VERSION_MAJOR DEC(__GNUC__)
+#  define SIMULATE_VERSION_MINOR DEC(__GNUC_MINOR__)
+#  if defined(__GNUC_PATCHLEVEL__)
+#   define SIMULATE_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
+#  endif
+# endif
+
+#elif defined(__GNUC__)
+# define COMPILER_ID "GNU"
+# define COMPILER_VERSION_MAJOR DEC(__GNUC__)
+# 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(_ADI_COMPILER)
+# define COMPILER_ID "ADSP"
+#if defined(__VERSIONNUM__)
+  /* __VERSIONNUM__ = 0xVVRRPPTT */
+#  define COMPILER_VERSION_MAJOR DEC(__VERSIONNUM__ >> 24 & 0xFF)
+#  define COMPILER_VERSION_MINOR DEC(__VERSIONNUM__ >> 16 & 0xFF)
+#  define COMPILER_VERSION_PATCH DEC(__VERSIONNUM__ >> 8 & 0xFF)
+#  define COMPILER_VERSION_TWEAK DEC(__VERSIONNUM__ & 0xFF)
+#endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# define COMPILER_ID "IAR"
+# if defined(__VER__) && defined(__ICCARM__)
+#  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__)
+# elif defined(__VER__) && (defined(__ICCAVR__) || defined(__ICCRX__) || defined(__ICCRH850__) || defined(__ICCRL78__) || defined(__ICC430__) || defined(__ICCRISCV__) || defined(__ICCV850__) || defined(__ICC8051__) || defined(__ICCSTM8__))
+#  define COMPILER_VERSION_MAJOR DEC((__VER__) / 100)
+#  define COMPILER_VERSION_MINOR DEC((__VER__) - (((__VER__) / 100)*100))
+#  define COMPILER_VERSION_PATCH DEC(__SUBVERSION__)
+#  define COMPILER_VERSION_INTERNAL DEC(__IAR_SYSTEMS_ICC__)
+# 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
+
+
+/* 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(__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(__CRAYXT_COMPUTE_LINUX_TARGET)
+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(__MSYS__)
+# define PLATFORM_ID "MSYS"
+
+#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(__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"
+
+# elif defined(__VXWORKS__)
+#  define PLATFORM_ID "VxWorks"
+
+# else /* unknown platform */
+#  define PLATFORM_ID
+# endif
+
+#elif defined(__INTEGRITY)
+# if defined(INT_178B)
+#  define PLATFORM_ID "Integrity178"
+
+# else /* regular Integrity */
+#  define PLATFORM_ID "Integrity"
+# endif
+
+# elif defined(_ADI_COMPILER)
+#  define PLATFORM_ID "ADSP"
+
+#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_ARM64EC)
+#  define ARCHITECTURE_ID "ARM64EC"
+
+# 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(__ICCRX__)
+#  define ARCHITECTURE_ID "RX"
+
+# elif defined(__ICCRH850__)
+#  define ARCHITECTURE_ID "RH850"
+
+# elif defined(__ICCRL78__)
+#  define ARCHITECTURE_ID "RL78"
+
+# elif defined(__ICCRISCV__)
+#  define ARCHITECTURE_ID "RISCV"
+
+# elif defined(__ICCAVR__)
+#  define ARCHITECTURE_ID "AVR"
+
+# elif defined(__ICC430__)
+#  define ARCHITECTURE_ID "MSP430"
+
+# elif defined(__ICCV850__)
+#  define ARCHITECTURE_ID "V850"
+
+# elif defined(__ICC8051__)
+#  define ARCHITECTURE_ID "8051"
+
+# elif defined(__ICCSTM8__)
+#  define ARCHITECTURE_ID "STM8"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__ghs__)
+# if defined(__PPC64__)
+#  define ARCHITECTURE_ID "PPC64"
+
+# elif defined(__ppc__)
+#  define ARCHITECTURE_ID "PPC"
+
+# elif defined(__ARM__)
+#  define ARCHITECTURE_ID "ARM"
+
+# elif defined(__x86_64__)
+#  define ARCHITECTURE_ID "x64"
+
+# elif defined(__i386__)
+#  define ARCHITECTURE_ID "X86"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__TI_COMPILER_VERSION__)
+# if defined(__TI_ARM__)
+#  define ARCHITECTURE_ID "ARM"
+
+# elif defined(__MSP430__)
+#  define ARCHITECTURE_ID "MSP430"
+
+# elif defined(__TMS320C28XX__)
+#  define ARCHITECTURE_ID "TMS320C28x"
+
+# elif defined(__TMS320C6X__) || defined(_TMS320C6X)
+#  define ARCHITECTURE_ID "TMS320C6x"
+
+# else /* unknown architecture */
+#  define ARCHITECTURE_ID ""
+# endif
+
+# elif defined(__ADSPSHARC__)
+#  define ARCHITECTURE_ID "SHARC"
+
+# elif defined(__ADSPBLACKFIN__)
+#  define ARCHITECTURE_ID "Blackfin"
+
+#elif defined(__TASKING__)
+
+# if defined(__CTC__) || defined(__CPTC__)
+#  define ARCHITECTURE_ID "TriCore"
+
+# elif defined(__CMCS__)
+#  define ARCHITECTURE_ID "MCS"
+
+# elif defined(__CARM__)
+#  define ARCHITECTURE_ID "ARM"
+
+# elif defined(__CARC__)
+#  define ARCHITECTURE_ID "ARC"
+
+# elif defined(__C51__)
+#  define ARCHITECTURE_ID "8051"
+
+# elif defined(__CPCP__)
+#  define ARCHITECTURE_ID "PCP"
+
+# else
+#  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. */
+#ifdef COMPILER_VERSION
+char const* info_version = "INFO" ":" "compiler_version[" COMPILER_VERSION "]";
+
+/* Construct a string literal encoding the version number components. */
+#elif defined(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'};
+#elif defined(COMPILER_VERSION_INTERNAL_STR)
+char const* info_version_internal = "INFO" ":" "compiler_version_internal[" COMPILER_VERSION_INTERNAL_STR "]";
+#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__) && !defined(__clang__)
+# if defined(_MSC_VER) || defined(__ibmxl__) || defined(__IBMC__)
+#  define C_VERSION "90"
+# else
+#  define C_VERSION
+# endif
+#elif __STDC_VERSION__ > 201710L
+# define C_VERSION "23"
+#elif __STDC_VERSION__ >= 201710L
+# define C_VERSION "17"
+#elif __STDC_VERSION__ >= 201000L
+# define C_VERSION "11"
+#elif __STDC_VERSION__ >= 199901L
+# define C_VERSION "99"
+#else
+# define C_VERSION "90"
+#endif
+const char* info_language_standard_default =
+  "INFO" ":" "standard_default[" C_VERSION "]";
+
+const char* info_language_extensions_default = "INFO" ":" "extensions_default["
+#if (defined(__clang__) || defined(__GNUC__) || defined(__xlC__) ||           \
+     defined(__TI_COMPILER_VERSION__)) &&                                     \
+  !defined(__STRICT_ANSI__)
+  "ON"
+#else
+  "OFF"
+#endif
+"]";
+
+/*--------------------------------------------------------------------------*/
+
+#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(__CRAYXT_COMPUTE_LINUX_TARGET)
+  require += info_cray[argc];
+#endif
+  require += info_language_standard_default[argc];
+  require += info_language_extensions_default[argc];
+  (void)argv;
+  return require;
+}
+#endif

CMakeFiles/3.26.3/CompilerIdCXX/CMakeCXXCompilerId.cpp

@@ -0,0 +1,855 @@
+/* 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
+
+#if !defined(__has_include)
+/* If the compiler does not have __has_include, pretend the answer is
+   always no.  */
+#  define __has_include(x) 0
+#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
+# if defined(__GNUC__)
+#  define SIMULATE_ID "GNU"
+# endif
+  /* __INTEL_COMPILER = VRP prior to 2021, and then VVVV for 2021 and later,
+     except that a few beta releases use the old format with V=2021.  */
+# if __INTEL_COMPILER < 2021 || __INTEL_COMPILER == 202110 || __INTEL_COMPILER == 202111
+#  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
+# else
+#  define COMPILER_VERSION_MAJOR DEC(__INTEL_COMPILER)
+#  define COMPILER_VERSION_MINOR DEC(__INTEL_COMPILER_UPDATE)
+   /* The third version component from --version is an update index,
+      but no macro is provided for it.  */
+#  define COMPILER_VERSION_PATCH DEC(0)
+# 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
+# if defined(__GNUC__)
+#  define SIMULATE_VERSION_MAJOR DEC(__GNUC__)
+# elif defined(__GNUG__)
+#  define SIMULATE_VERSION_MAJOR DEC(__GNUG__)
+# endif
+# if defined(__GNUC_MINOR__)
+#  define SIMULATE_VERSION_MINOR DEC(__GNUC_MINOR__)
+# endif
+# if defined(__GNUC_PATCHLEVEL__)
+#  define SIMULATE_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
+# endif
+
+#elif (defined(__clang__) && defined(__INTEL_CLANG_COMPILER)) || defined(__INTEL_LLVM_COMPILER)
+# define COMPILER_ID "IntelLLVM"
+#if defined(_MSC_VER)
+# define SIMULATE_ID "MSVC"
+#endif
+#if defined(__GNUC__)
+# define SIMULATE_ID "GNU"
+#endif
+/* __INTEL_LLVM_COMPILER = VVVVRP prior to 2021.2.0, VVVVRRPP for 2021.2.0 and
+ * later.  Look for 6 digit vs. 8 digit version number to decide encoding.
+ * VVVV is no smaller than the current year when a version is released.
+ */
+#if __INTEL_LLVM_COMPILER < 1000000L
+# define COMPILER_VERSION_MAJOR DEC(__INTEL_LLVM_COMPILER/100)
+# define COMPILER_VERSION_MINOR DEC(__INTEL_LLVM_COMPILER/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__INTEL_LLVM_COMPILER    % 10)
+#else
+# define COMPILER_VERSION_MAJOR DEC(__INTEL_LLVM_COMPILER/10000)
+# define COMPILER_VERSION_MINOR DEC(__INTEL_LLVM_COMPILER/100 % 100)
+# define COMPILER_VERSION_PATCH DEC(__INTEL_LLVM_COMPILER     % 100)
+#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
+#if defined(__GNUC__)
+# define SIMULATE_VERSION_MAJOR DEC(__GNUC__)
+#elif defined(__GNUG__)
+# define SIMULATE_VERSION_MAJOR DEC(__GNUG__)
+#endif
+#if defined(__GNUC_MINOR__)
+# define SIMULATE_VERSION_MINOR DEC(__GNUC_MINOR__)
+#endif
+#if defined(__GNUC_PATCHLEVEL__)
+# define SIMULATE_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
+#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(__open_xl__) && defined(__clang__)
+# define COMPILER_ID "IBMClang"
+# define COMPILER_VERSION_MAJOR DEC(__open_xl_version__)
+# define COMPILER_VERSION_MINOR DEC(__open_xl_release__)
+# define COMPILER_VERSION_PATCH DEC(__open_xl_modification__)
+# define COMPILER_VERSION_TWEAK DEC(__open_xl_ptf_fix_level__)
+
+
+#elif defined(__ibmxl__) && defined(__clang__)
+# define COMPILER_ID "XLClang"
+# define COMPILER_VERSION_MAJOR DEC(__ibmxl_version__)
+# define COMPILER_VERSION_MINOR DEC(__ibmxl_release__)
+# define COMPILER_VERSION_PATCH DEC(__ibmxl_modification__)
+# define COMPILER_VERSION_TWEAK DEC(__ibmxl_ptf_fix_level__)
+
+
+#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(__NVCOMPILER)
+# define COMPILER_ID "NVHPC"
+# define COMPILER_VERSION_MAJOR DEC(__NVCOMPILER_MAJOR__)
+# define COMPILER_VERSION_MINOR DEC(__NVCOMPILER_MINOR__)
+# if defined(__NVCOMPILER_PATCHLEVEL__)
+#  define COMPILER_VERSION_PATCH DEC(__NVCOMPILER_PATCHLEVEL__)
+# endif
+
+#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(__CLANG_FUJITSU)
+# define COMPILER_ID "FujitsuClang"
+# define COMPILER_VERSION_MAJOR DEC(__FCC_major__)
+# define COMPILER_VERSION_MINOR DEC(__FCC_minor__)
+# define COMPILER_VERSION_PATCH DEC(__FCC_patchlevel__)
+# define COMPILER_VERSION_INTERNAL_STR __clang_version__
+
+
+#elif defined(__FUJITSU)
+# define COMPILER_ID "Fujitsu"
+# if defined(__FCC_version__)
+#   define COMPILER_VERSION __FCC_version__
+# elif defined(__FCC_major__)
+#   define COMPILER_VERSION_MAJOR DEC(__FCC_major__)
+#   define COMPILER_VERSION_MINOR DEC(__FCC_minor__)
+#   define COMPILER_VERSION_PATCH DEC(__FCC_patchlevel__)
+# endif
+# if defined(__fcc_version)
+#   define COMPILER_VERSION_INTERNAL DEC(__fcc_version)
+# elif defined(__FCC_VERSION)
+#   define COMPILER_VERSION_INTERNAL DEC(__FCC_VERSION)
+# endif
+
+
+#elif defined(__ghs__)
+# define COMPILER_ID "GHS"
+/* __GHS_VERSION_NUMBER = VVVVRP */
+# ifdef __GHS_VERSION_NUMBER
+# define COMPILER_VERSION_MAJOR DEC(__GHS_VERSION_NUMBER / 100)
+# define COMPILER_VERSION_MINOR DEC(__GHS_VERSION_NUMBER / 10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__GHS_VERSION_NUMBER      % 10)
+# endif
+
+#elif defined(__TASKING__)
+# define COMPILER_ID "Tasking"
+  # define COMPILER_VERSION_MAJOR DEC(__VERSION__/1000)
+  # define COMPILER_VERSION_MINOR DEC(__VERSION__ % 100)
+# define COMPILER_VERSION_INTERNAL DEC(__VERSION__)
+
+#elif defined(__SCO_VERSION__)
+# define COMPILER_ID "SCO"
+
+#elif defined(__ARMCC_VERSION) && !defined(__clang__)
+# 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(__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__) && defined(__ARMCOMPILER_VERSION)
+# define COMPILER_ID "ARMClang"
+  # define COMPILER_VERSION_MAJOR DEC(__ARMCOMPILER_VERSION/1000000)
+  # define COMPILER_VERSION_MINOR DEC(__ARMCOMPILER_VERSION/10000 % 100)
+  # define COMPILER_VERSION_PATCH DEC(__ARMCOMPILER_VERSION     % 10000)
+# define COMPILER_VERSION_INTERNAL DEC(__ARMCOMPILER_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(__LCC__) && (defined(__GNUC__) || defined(__GNUG__) || defined(__MCST__))
+# define COMPILER_ID "LCC"
+# define COMPILER_VERSION_MAJOR DEC(__LCC__ / 100)
+# define COMPILER_VERSION_MINOR DEC(__LCC__ % 100)
+# if defined(__LCC_MINOR__)
+#  define COMPILER_VERSION_PATCH DEC(__LCC_MINOR__)
+# endif
+# if defined(__GNUC__) && defined(__GNUC_MINOR__)
+#  define SIMULATE_ID "GNU"
+#  define SIMULATE_VERSION_MAJOR DEC(__GNUC__)
+#  define SIMULATE_VERSION_MINOR DEC(__GNUC_MINOR__)
+#  if defined(__GNUC_PATCHLEVEL__)
+#   define SIMULATE_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
+#  endif
+# 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(_ADI_COMPILER)
+# define COMPILER_ID "ADSP"
+#if defined(__VERSIONNUM__)
+  /* __VERSIONNUM__ = 0xVVRRPPTT */
+#  define COMPILER_VERSION_MAJOR DEC(__VERSIONNUM__ >> 24 & 0xFF)
+#  define COMPILER_VERSION_MINOR DEC(__VERSIONNUM__ >> 16 & 0xFF)
+#  define COMPILER_VERSION_PATCH DEC(__VERSIONNUM__ >> 8 & 0xFF)
+#  define COMPILER_VERSION_TWEAK DEC(__VERSIONNUM__ & 0xFF)
+#endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# define COMPILER_ID "IAR"
+# if defined(__VER__) && defined(__ICCARM__)
+#  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__)
+# elif defined(__VER__) && (defined(__ICCAVR__) || defined(__ICCRX__) || defined(__ICCRH850__) || defined(__ICCRL78__) || defined(__ICC430__) || defined(__ICCRISCV__) || defined(__ICCV850__) || defined(__ICC8051__) || defined(__ICCSTM8__))
+#  define COMPILER_VERSION_MAJOR DEC((__VER__) / 100)
+#  define COMPILER_VERSION_MINOR DEC((__VER__) - (((__VER__) / 100)*100))
+#  define COMPILER_VERSION_PATCH DEC(__SUBVERSION__)
+#  define COMPILER_VERSION_INTERNAL DEC(__IAR_SYSTEMS_ICC__)
+# 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(__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(__CRAYXT_COMPUTE_LINUX_TARGET)
+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(__MSYS__)
+# define PLATFORM_ID "MSYS"
+
+#elif defined(__CYGWIN__)
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+	$(MAKE) $(MAKESILENT) -f CMakeFiles/diffvg.dir/build.make CMakeFiles/diffvg.dir/shape.cpp.s
+.PHONY : shape.cpp.s
+
+# Help Target
+help:
+	@echo "The following are some of the valid targets for this Makefile:"
+	@echo "... all (the default if no target is provided)"
+	@echo "... clean"
+	@echo "... depend"
+	@echo "... edit_cache"
+	@echo "... rebuild_cache"
+	@echo "... diffvg"
+	@echo "... atomic.o"
+	@echo "... atomic.i"
+	@echo "... atomic.s"
+	@echo "... color.o"
+	@echo "... color.i"
+	@echo "... color.s"
+	@echo "... diffvg.o"
+	@echo "... diffvg.i"
+	@echo "... diffvg.s"
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+	@echo "... scene.i"
+	@echo "... scene.s"
+	@echo "... shape.o"
+	@echo "... shape.i"
+	@echo "... shape.s"
+.PHONY : help
+
+
+
+#=============================================================================
+# Special targets to cleanup operation of make.
+
+# Special rule to run CMake to check the build system integrity.
+# No rule that depends on this can have commands that come from listfiles
+# because they might be regenerated.
+cmake_check_build_system:
+	$(CMAKE_COMMAND) -S$(CMAKE_SOURCE_DIR) -B$(CMAKE_BINARY_DIR) --check-build-system CMakeFiles/Makefile.cmake 0
+.PHONY : cmake_check_build_system
+

apps/imgs/Triangles.obj

@@ -0,0 +1,8 @@
+v 100 150
+v 42.3 50
+v 157.7 50
+v 180 100
+v 200 120
+f 1 2 3
+f 1 3 4
+f 1 4 5

apps/test_triangle.py

@@ -0,0 +1,148 @@
+import pydiffvg
+import torch
+import skimage
+import numpy as np
+
+def run():
+
+    # Use GPU if available
+    pydiffvg.set_use_gpu(torch.cuda.is_available())
+
+    canvas_width, canvas_height = 256, 256
+    num_control_points = torch.tensor([2, 2, 2])
+    points = torch.tensor([[20.0,  30.0], # base
+                        [50.0,  60.0], # control point
+                        [ 90.0, 198.0], # control point
+                        [ 60.0, 218.0], # base
+                        [ 90.0, 180.0], # control point
+                        [200.0,  85.0], # control point
+                        [230.0,  90.0], # base
+                        [220.0,  70.0], # control point
+                        [130.0,  55.0]]) # control point
+    path = pydiffvg.Path(num_control_points = num_control_points,
+                        points = points,
+                        is_closed = True)
+    shapes = [path]
+    path_group = pydiffvg.ShapeGroup(shape_ids = torch.tensor([0]),
+                                    fill_color = torch.tensor([0.3, 0.6, 0.3, 1.0]))
+    shape_groups = [path_group]
+    scene_args = pydiffvg.RenderFunction.serialize_scene(\
+        canvas_width, canvas_height, shapes, shape_groups)
+
+    render = pydiffvg.RenderFunction.apply
+    img = render(256, # width
+                256, # height
+                2,   # num_samples_x
+                2,   # num_samples_y
+                0,   # seed
+                None,
+                *scene_args)
+    # The output image is in linear RGB space. Do Gamma correction before saving the image.
+    pydiffvg.imwrite(img.cpu(), 'results/test_curve/target.png', gamma=2.2)
+    target = img.clone()
+
+    # Load the obj file, get the vertices/control points
+    obj = "imgs/Triangle.obj"
+    vertices_tmp, faces_tmp = pydiffvg.obj_to_scene(obj)
+    print(float(vertices_tmp[1][1]))
+    print(faces_tmp)
+
+    vertices = []
+    faces = []
+    for v in vertices_tmp:
+        vertices.append([float(v[1]), float(v[2])])
+    for f in faces_tmp:
+        vs_count = len(f)
+        tmp = []
+        for v in f[1:]:
+            tmp.append(int(v))
+        faces.append(tmp)
+    print(vertices)
+    print(faces)
+
+    # Ternary subdivision
+    # Move the path to produce initial guess
+    # normalize points for easier learning rate
+    points_n = torch.tensor([[vertices[0][0]/256.0, vertices[0][1]/256.0], # base
+                            [70.0/256.0,  140.0/256.0], # control point
+                            [50.0/256.0, 100.0/256.0], # control point
+                            [vertices[1][0]/256.0, vertices[1][1]/256.0], # base
+                            [80.0/256.0, 40.0/256.0], # control point
+                            [120.0/256.0,  40.0/256.0], # control point
+                            [vertices[2][0]/256.0, vertices[2][1]/256.0], # base
+                            [150.0/256.0,  100.0/256.0], # control point
+                            [130.0/256.0,  140.0/256.0]], # control point
+                            requires_grad = True)
+    color = torch.tensor([0.3, 0.2, 0.5, 1.0], requires_grad=True)
+    path.points = points_n * 256
+    path_group.fill_color = color
+    scene_args = pydiffvg.RenderFunction.serialize_scene(\
+        canvas_width, canvas_height, shapes, shape_groups)
+    return scene_args
+    img = render(256, # width
+                256, # height
+                2,   # num_samples_x
+                2,   # num_samples_y
+                1,   # seed
+                None,
+                *scene_args)
+    pydiffvg.imwrite(img.cpu(), 'results/test_curve/init.png', gamma=2.2)
+
+    # Optimize
+    optimizer = torch.optim.Adam([points_n, color], lr=1e-2)
+    # Run 100 Adam iterations.
+    for t in range(100):
+        print('iteration:', t)
+        optimizer.zero_grad()
+        # Forward pass: render the image.
+        path.points = points_n * 256
+        path_group.fill_color = color
+        scene_args = pydiffvg.RenderFunction.serialize_scene(\
+            canvas_width, canvas_height, shapes, shape_groups)
+        img = render(256,   # width
+                    256,   # height
+                    2,     # num_samples_x
+                    2,     # num_samples_y
+                    t+1,   # seed
+                    None,
+                    *scene_args)
+        # Save the intermediate render.
+        pydiffvg.imwrite(img.cpu(),
+                         'results/test_curve/iter_{}.png'.format(t), gamma=2.2)
+        # Compute the loss function. Here it is L2.
+        loss = (img - target).pow(2).sum()
+        print('loss:', loss.item())
+
+        # Backpropagate the gradients.
+        loss.backward()
+        # Print the gradients
+        print('points_n.grad:', points_n.grad)
+        print('color.grad:', color.grad)
+
+        # Take a gradient descent step.
+        optimizer.step()
+        # Print the current params.
+        print('points:', path.points)
+        print('color:', path_group.fill_color)
+
+    # Render the final result.
+    scene_args = pydiffvg.RenderFunction.serialize_scene(\
+        canvas_width, canvas_height, shapes, shape_groups)
+    img = render(256,   # width
+                256,   # height
+                2,     # num_samples_x
+                2,     # num_samples_y
+                102,    # seed
+                None,
+                *scene_args)
+    # Save the images and differences.
+    pydiffvg.imwrite(img.cpu(), 'results/test_curve/final.png')
+
+    # Convert the intermediate renderings to a video.
+    from subprocess import call
+    call(["ffmpeg", "-framerate", "24", "-i",
+        "results/test_curve/iter_%d.png", "-vb", "20M",
+        "results/test_curve/out.mp4"])
+
+if __name__ == "__main__":
+    run()

apps/test_triangles.py

@@ -0,0 +1,144 @@
+import pydiffvg
+import torch
+import skimage
+import numpy as np
+
+# Use GPU if available
+pydiffvg.set_use_gpu(torch.cuda.is_available())
+
+canvas_width, canvas_height = 256, 256
+num_control_points = torch.tensor([2, 2, 2])
+points = torch.tensor([[20.0,  30.0], # base
+                       [50.0,  60.0], # control point
+                       [ 90.0, 198.0], # control point
+                       [ 60.0, 218.0], # base
+                       [ 90.0, 180.0], # control point
+                       [200.0,  85.0], # control point
+                       [230.0,  90.0], # base
+                       [220.0,  70.0], # control point
+                       [130.0,  55.0]]) # control point
+path = pydiffvg.Path(num_control_points = num_control_points,
+                     points = points,
+                     is_closed = True)
+shapes = [path]
+path_group = pydiffvg.ShapeGroup(shape_ids = torch.tensor([0]),
+                                 fill_color = torch.tensor([0.3, 0.6, 0.3, 1.0]))
+shape_groups = [path_group]
+scene_args = pydiffvg.RenderFunction.serialize_scene(\
+    canvas_width, canvas_height, shapes, shape_groups)
+
+render = pydiffvg.RenderFunction.apply
+img = render(256, # width
+             256, # height
+             2,   # num_samples_x
+             2,   # num_samples_y
+             0,   # seed
+             None,
+             *scene_args)
+# The output image is in linear RGB space. Do Gamma correction before saving the image.
+pydiffvg.imwrite(img.cpu(), 'results/test_triangles/target.png', gamma=2.2)
+target = img.clone()
+
+# Load the obj file, get the vertices/control points
+obj = "imgs/Triangles.obj"
+vertices_tmp, faces_tmp = pydiffvg.obj_to_scene(obj)
+print(float(vertices_tmp[1][1]))
+print(faces_tmp)
+
+vertices = []
+faces = []
+for v in vertices_tmp:
+    vertices.append([float(v[1]), float(v[2])])
+for f in faces_tmp:
+    vs_count = len(f)
+    tmp = []
+    for v in f[1:]:
+        tmp.append(int(v))
+    faces.append(tmp)
+print(vertices)
+print(faces)
+
+quit()
+
+# Ternary subdivision
+# Move the path to produce initial guess
+# normalize points for easier learning rate
+points_n = torch.tensor([[vertices[0][0]/256.0, vertices[0][1]/256.0], # base
+                         [70.0/256.0,  140.0/256.0], # control point
+                         [50.0/256.0, 100.0/256.0], # control point
+                         [vertices[1][0]/256.0, vertices[1][1]/256.0], # base
+                         [80.0/256.0, 40.0/256.0], # control point
+                         [120.0/256.0,  40.0/256.0], # control point
+                         [vertices[2][0]/256.0, vertices[2][1]/256.0], # base
+                         [150.0/256.0,  100.0/256.0], # control point
+                         [130.0/256.0,  140.0/256.0]], # control point
+                        requires_grad = True) 
+color = torch.tensor([0.3, 0.2, 0.5, 1.0], requires_grad=True)
+path.points = points_n * 256
+path_group.fill_color = color
+scene_args = pydiffvg.RenderFunction.serialize_scene(\
+    canvas_width, canvas_height, shapes, shape_groups)
+img = render(256, # width
+             256, # height
+             2,   # num_samples_x
+             2,   # num_samples_y
+             1,   # seed
+             None,
+             *scene_args)
+pydiffvg.imwrite(img.cpu(), 'results/test_triangles/init.png', gamma=2.2)
+
+# Optimize
+optimizer = torch.optim.Adam([points_n, color], lr=1e-2)
+# Run 100 Adam iterations.
+for t in range(100):
+    print('iteration:', t)
+    optimizer.zero_grad()
+    # Forward pass: render the image.
+    path.points = points_n * 256
+    path_group.fill_color = color
+    scene_args = pydiffvg.RenderFunction.serialize_scene(\
+        canvas_width, canvas_height, shapes, shape_groups)
+    img = render(256,   # width
+                 256,   # height
+                 2,     # num_samples_x
+                 2,     # num_samples_y
+                 t+1,   # seed
+                 None,
+                 *scene_args)
+    # Save the intermediate render.
+    pydiffvg.imwrite(img.cpu(), 'results/test_triangles/iter_{}.png'.format(t), gamma=2.2)
+    # Compute the loss function. Here it is L2.
+    loss = (img - target).pow(2).sum()
+    print('loss:', loss.item())
+
+    # Backpropagate the gradients.
+    loss.backward()
+    # Print the gradients
+    print('points_n.grad:', points_n.grad)
+    print('color.grad:', color.grad)
+
+    # Take a gradient descent step.
+    optimizer.step()
+    # Print the current params.
+    print('points:', path.points)
+    print('color:', path_group.fill_color)
+
+# Render the final result.
+scene_args = pydiffvg.RenderFunction.serialize_scene(\
+    canvas_width, canvas_height, shapes, shape_groups)
+img = render(256,   # width
+             256,   # height
+             2,     # num_samples_x
+             2,     # num_samples_y
+             102,    # seed
+             None,
+             *scene_args)
+# Save the images and differences.
+pydiffvg.imwrite(img.cpu(), 'results/test_triangles/final.png')
+
+# Convert the intermediate renderings to a video.
+from subprocess import call
+call(["ffmpeg", "-framerate", "24", "-i",
+    "results/test_triangles/iter_%d.png", "-vb", "20M",
+    "results/test_triangles/out.mp4"])
+

cmake_install.cmake

@@ -0,0 +1,60 @@
+# Install script for directory: /home/kahr/Projects/bachelors_project/diffvg
+
+# 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 "${BUILD_TYPE}")
+  else()
+    set(CMAKE_INSTALL_CONFIG_NAME "Release")
+  endif()
+  message(STATUS "Install configuration: \"${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 "0")
+endif()
+
+# Is this installation the result of a crosscompile?
+if(NOT DEFINED CMAKE_CROSSCOMPILING)
+  set(CMAKE_CROSSCOMPILING "FALSE")
+endif()
+
+# Set default install directory permissions.
+if(NOT DEFINED CMAKE_OBJDUMP)
+  set(CMAKE_OBJDUMP "/usr/bin/objdump")
+endif()
+
+if(NOT CMAKE_INSTALL_LOCAL_ONLY)
+  # Include the install script for each subdirectory.
+  include("/home/kahr/Projects/bachelors_project/diffvg/pybind11/cmake_install.cmake")
+
+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/kahr/Projects/bachelors_project/diffvg/${CMAKE_INSTALL_MANIFEST}"
+     "${CMAKE_INSTALL_MANIFEST_CONTENT}")

color.h

@@ -7,7 +7,8 @@
 enum class ColorType {
     Constant,
     LinearGradient,
-    RadialGradient
+    RadialGradient,
+    PatchGradient
 };
 
 struct Constant {
@@ -61,3 +62,13 @@ struct RadialGradient {
     float *stop_offsets;
     float *stop_colors; // rgba
 };
+
+/*
+struct PatchGradient {
+    PatchGradient(const Vector2f &topLeft,
+                  const Vector2f &topRight,
+                  const Vector2f &bottomLeft,
+                  const Vector2f &bottomRight,
+                  const )
+}
+*/

diffvg.cpp

@@ -1490,6 +1490,11 @@ void render(std::shared_ptr<Scene> scene,
             bool use_prefiltering,
             ptr<float> eval_positions,
             int num_eval_positions) {
+
+    /////////////////
+    // Setup stuff //
+    /////////////////
+
 #ifdef __NVCC__
     int old_device_id = -1;
     if (scene->use_gpu) {
@@ -1519,6 +1524,11 @@ void render(std::shared_ptr<Scene> scene,
         }
     }
 
+    ///////////////////////////////////////////////////////////////////
+    // IDK what this does but I think it relates to the prefiltering //
+    // TODO                                                          //
+    ///////////////////////////////////////////////////////////////////
+
     if (render_image.get() != nullptr || d_render_image.get() != nullptr ||
         render_sdf.get() != nullptr || d_render_sdf.get() != nullptr) {
         if (weight_image != nullptr) {
@@ -1533,6 +1543,11 @@ void render(std::shared_ptr<Scene> scene,
             }, width * height * num_samples_x * num_samples_y, scene->use_gpu);
         }
 
+
+        ////////////////////////////////////////////////
+        // Think this relates to the actual rendering //
+        ////////////////////////////////////////////////
+
         auto num_samples = eval_positions.get() == nullptr ?
             width * height * num_samples_x * num_samples_y : num_eval_positions;
         parallel_for(render_kernel{
@@ -1555,6 +1570,11 @@ void render(std::shared_ptr<Scene> scene,
         }, num_samples, scene->use_gpu);
     }
 
+    /////////////////////////////////////////////////////////////////////
+    // The reason for this is described in the diffvg paper            //
+    // I don't think it's especially important for the gradient meshes //
+    /////////////////////////////////////////////////////////////////////
+
     // Boundary sampling
     if (!use_prefiltering && d_render_image.get() != nullptr) {
         auto num_samples = width * height * num_samples_x * num_samples_y;

gradientmesh/gmtypes.py

@@ -0,0 +1,300 @@
+#!/usr/bin/env ipython
+from __future__ import annotations
+import torch
+from random import uniform
+import math
+
+from util import rgb2hex, any_map
+
+
+class Point:
+    """2D point, optionally with control points;
+        alternatively, 2-vector"""
+    def __init__(self, x: float, y: float,
+                 round=False):
+
+        self.x = x
+        self.y = y
+
+        if round:
+            self.round()
+
+    def as_xy(self):
+        return [self.x, self.y]
+
+    def round(self):
+        self.x = int(self.x * 100) / 100.0
+        self.y = int(self.y * 100) / 100.0
+
+        return self
+
+    def add(self, pt: Point):
+        self.x += pt.x
+        self.y += pt.y
+
+        return self
+
+    def mult(self, pt: Point):
+        self.x *= pt.x
+        self.y *= pt.y
+
+        return self
+
+    @classmethod
+    def random(cls, rx=(0, 1), ry=(0, 1)):
+        # Clamp to (0, 1)
+        rx = (max(0, rx[0]), min(1, max(0, rx[1])))
+        ry = (max(0, ry[0]), min(1, max(0, ry[1])))
+
+        out = cls(uniform(*rx), uniform(*ry))
+        out.round()
+        return out
+
+    def __hash__(self):
+        # Used for removing duplicate points
+        return id(self)
+
+    def __repr__(self):
+        return f"P<({self.x}, {self.y})>"
+
+    def __str__(self):
+        return self.__repr__()
+
+
+class Patch:
+    """Bicubic patch."""
+    def __init__(self,
+                 points: list[Point],
+                 controls: list[list[Point]],
+                 color=(0.2, 0.5, 0.7, 1.0)):
+        self.points = points
+        self.controls = controls
+        self.color = color
+
+    def translate(self, pt: Point):
+        for p in self.points:
+            p.add(pt)
+
+        for q in self.controls:
+            for p in q:
+                p.add(pt)
+
+    def scale(self, pt: Point):
+        for p in self.points:
+            p.mult(pt)
+
+        for q in self.controls:
+            for p in q:
+                p.mult(pt)
+
+    @classmethod
+    def random(cls, degree=4, num_control_points=2):
+        num_control_points = [num_control_points] * degree
+        """Returns a random Patch with `degree` vertices
+        and `num_control_points` control points per edge."""
+
+        # Random tweaks to regular polygon base
+        angle = 2 * math.pi / degree
+        angle = uniform(0.8 * angle, 1.2 * angle)
+        points = []
+        for i in range(degree):
+            pt = Point(
+                uniform(0.3, 0.7) + 0.5 * math.cos(i * angle),
+                uniform(0.3, 0.7) + 0.5 * math.sin(i * angle)
+            )
+
+            # Stochastically clamp to (0,1)
+            for c in ['x', 'y']:
+                if (v := getattr(pt, c)) > 1:
+                    diff = v - 1
+                    setattr(pt, c, v - uniform(diff, 2 * diff))
+                elif v < 0:
+                    diff = -v
+                    setattr(pt, c, v + uniform(diff, 2 * diff))
+
+            points.append(pt)
+
+        control_points = []
+        for i in range(len(num_control_points)):
+            pt = points[i]
+            npt = points[i+1 if i+1 < degree else 0]
+
+            ncp = num_control_points[i]
+            dx = (npt.x - pt.x) / (ncp + 1)
+            dy = (npt.y - pt.y) / (ncp + 1)
+
+            control_points.append([
+                Point(
+                    pt.x + j * dx * uniform(0.8, 1.2) + uniform(0, 0.2),
+                    pt.y + j * dy * uniform(0.8, 1.2) + uniform(0, 0.2)
+                ) for j in range(1, ncp+1)
+            ])
+
+        out = cls(points, control_points)
+        out.color = (
+            uniform(0, 1),
+            uniform(0, 1),
+            uniform(0, 1),
+            0.7
+        )
+
+        return out
+
+    def __repr__(self):
+        out = f"F<({rgb2hex(*self.color)})"
+        out += f"[{', '.join([str(x) for x in self.points])}]>"
+        return out
+
+
+class Quad(Patch):
+    """Quadrilateral bicubic patch."""
+    def __init__(self, *args, **kwargs):
+        super().__init__(*args, **kwargs)
+
+        # Assign 4 vertices as self.{top, bototm, left, right}
+        self.top, self.right, self.bottom, self.left = self.points
+        by_y = sorted(self.points, key=lambda pt: pt.y)
+        self.top, self.bottom = by_y[0], by_y[-1]
+        by_x = sorted([pt for pt in self.points
+                       if pt not in [self.top, self.bottom]],
+                      key=lambda pt: pt.x)
+        self.left, self.right = by_x
+
+        # Assign 4 edges as self.{northeat, southeast, southwest, northwest}
+        self.northeast = self.controls[self.points.index(self.top)]
+        self.southeast = self.controls[self.points.index(self.right)]
+        self.southwest = self.controls[self.points.index(self.bottom)]
+        self.northwest = self.controls[self.points.index(self.left)]
+
+        self.set_points()
+
+    def set_points(self):
+        """Reset self.points and self.controls; used after mutating
+        e.g. self.top, self.southwest &c."""
+        self.points = [self.left, self.top,
+                       self.right, self.bottom]
+
+        self.controls = [self.northwest, self.northeast,
+                         self.southeast, self.southwest]
+
+
+class PointMapping:
+    """Mapping of unique points in a mesh to separate shapes for diffvg."""
+    def __init__(self, points, controls, raw_points, colors):
+        self.points = points
+        self.controls = controls
+        self.raw_points = raw_points
+        self.data = torch.tensor(
+            [pt.as_xy() for pt in raw_points], requires_grad=True
+        )
+        self.colors = colors
+
+    def as_shapes(self):
+        out = []
+
+        for i in range(len(self.points)):
+            quad = self.points[i]
+
+            quadpoints = []
+            for j in range(len(quad)):
+                quadpoints.append(quad[j])
+                quadpoints += self.controls[i][j]
+
+            out.append(quadpoints)
+
+        return [torch.stack(x) for x in
+                any_map(lambda idx: self.data[idx], out)]
+
+
+class GradientMesh:
+    """Bicubic quadrilateral mesh."""
+    def __init__(self, *quads: Quad):
+        self.quads = quads
+
+    def as_mapping(self):
+        """Convert GradientMesh to PointMapping"""
+        points = []
+        controls = []
+        raw_points = []
+
+        for q in self.quads:
+            points.append(q.points)
+            controls.append(q.controls)
+            raw_points += q.points
+            for cp in q.controls:
+                raw_points += cp
+
+        raw_points = list(set(raw_points))
+
+        points = any_map(lambda p: raw_points.index(p), points)
+        controls = any_map(lambda p: raw_points.index(p), controls)
+
+        colors = torch.tensor([q.color for q in self.quads],
+                              requires_grad=True)
+
+        return PointMapping(points, controls, raw_points, colors)
+
+    def from_mapping(self, mapping: PointMapping):
+        pass
+
+
+def average_points(*points: list[Point]) -> Point:
+    """Average (i.e. geometric center) of points."""
+    x = sum([pt.x for pt in points]) / len(points)
+    y = sum([pt.y for pt in points]) / len(points)
+    return Point(x, y)
+
+
+def join_quads(a: Quad, b: Quad, c: Quad, d: Quad,
+               scale=True, translate=True,
+               step=10):
+    """Join 4 quadrilaterals so that they form a mesh with a center point."""
+
+    def combine_cp(cpa, cpb):
+        return [average_points(a, b) for a, b in zip(cpa, cpb)]
+
+    # If each quad occupies full space, make it so that they occupy 1/4 of space
+    if scale:
+        a.scale(Point(0.5, 0.5))
+        b.scale(Point(0.5, 0.5))
+        c.scale(Point(0.5, 0.5))
+        d.scale(Point(0.5, 0.5))
+
+    # If quads are on top of each other, translate so they are not
+    if translate:
+        b.translate(a.top)
+        c.translate(a.right)
+        d.translate(a.bottom)
+
+    # Equalize centerpoint
+    a.right, b.bottom, c.left, d.top = [
+        average_points(a.right, b.bottom, c.left, d.top)
+    ] * 4
+
+    # Equalize non-center shared points
+    a.top, b.left = [average_points(a.top, b.left)] * 2
+    a.bottom, d.left = [average_points(a.bottom, d.left)] * 2
+    b.right, c.top = [average_points(b.right, c.top)] * 2
+    c.bottom, d.right = [average_points(c.bottom, d.right)] * 2
+
+    # Equalize edges
+    a.northeast, b.southwest = (
+        (comb := combine_cp(a.northeast, b.southwest)),
+        comb[::-1]
+    )
+    b.southeast, c.northwest = (
+        (comb := combine_cp(b.southeast, c.northwest)),
+        comb[::-1]
+    )
+    c.southwest, d.northeast = (
+        (comb := combine_cp(c.southwest, d.northeast)),
+        comb[::-1]
+    )
+    d.northwest, a.southeast = (
+        (comb := combine_cp(d.northwest, a.southeast)),
+        comb[::-1]
+    )
+
+    # Update points
+    for q in [a, b, c, d]:
+        q.set_points()

gradientmesh/gmtypes2.py

@@ -0,0 +1,72 @@
+#!/usr/bin/env python3
+from __future__ import annotations
+from typing import TypeAlias
+from random import uniform
+
+import torch
+
+Point: TypeAlias = torch.FloatTensor
+Vector: TypeAlias = Point
+Color: TypeAlias = torch.FloatTensor
+
+
+def indexize_tensor(tensor, eps=1e-5):
+    """Take tensor of quads to flat list of points plus index map."""
+    tensor_shape = tensor.shape
+    tensor = tensor.view(-1, tensor_shape[-1])
+
+    # Round tensor elements to handle floating point precision errors
+    tensor = torch.round(tensor / eps) * eps
+
+    # Compute unique rows and their indices
+    tensor, inverse_indices = tensor.unique(dim=0, return_inverse=True)
+
+    # Compute index tensor
+    index_tensor = inverse_indices.view(tensor_shape[:-1])
+
+    return tensor, index_tensor
+
+
+def ferguson_to_bezier(corner_points, tangent_vectors):
+    """Take Ferguson patch to Bezier representation"""
+    # Assume corner_points is a list of 4 points [P0, P1, P2, P3] and
+    # tangent_vectors is a list of 4 vectors [V0, V1, V2, V3]
+
+    # Bezier control points
+    bezier_points = [None]*12
+
+    # Use tangent vectors to determine interior points and place them in the order
+    for i in range(4):
+        bezier_points[3*i] = corner_points[i]
+        bezier_points[3*i + 1] = corner_points[i] + tangent_vectors[i]/3
+        bezier_points[3*i + 2] = corner_points[i] + 2*tangent_vectors[i]/3
+
+    return bezier_points
+
+
+class Mesh:
+    def __init__(self, points, tangents, colors):
+        self.fpoints, self.ipoints = indexize_tensor(points)
+        self.ftangents, self.itangents = indexize_tensor(tangents)
+        self.colors = colors
+
+    @classmethod
+    def grid(cls, width, height):
+        dx = 1.0 / width
+        dy = 1.0 / height
+        points = []
+        tangents = []
+        colors = []
+        for i in range(width):
+            for j in range(height):
+                x1, y1 = i * dx, j * dy
+                x2, y2 = (i+1) * dx, (j+1) * dy
+                # Clockwise order: bottom left, bottom right, top right, top left
+                square = [[x1, y1], [x2, y1], [x2, y2], [x1, y2]]
+                points.append(square)
+                tangents.append([[0.0, 0.0] for _ in range(4)])
+                colors.append([uniform(0, 1) for _ in range(3)] + [1.0])
+
+        return cls(torch.tensor(points),
+                   torch.tensor(tangents),
+                   torch.tensor(colors))

gradientmesh/gradientmesh.py

@@ -0,0 +1,5 @@
+#!/usr/bin/env ipython
+import pydiffvg
+import torch
+import skimage
+import numpy as np

gradientmesh/imgs/Triangle.obj

@@ -0,0 +1,5 @@
+v 100 150
+v 42.3 50
+v 157.7 50
+
+f 1 2 3

gradientmesh/parser.py

@@ -0,0 +1,114 @@
+#!/usr/bin/env ipython
+import unittest
+from unittest import TestCase
+from dataclasses import dataclass
+
+
+class TestIO(TestCase):
+    pass
+
+class TestRender(TestCase):
+    pass
+
+@dataclass
+class Vertex:
+    index: int = None
+
+
+@dataclass
+class VertexData:
+    index: int = None
+    val: int = None
+    x: float = None
+    y: float = None
+    outIndex: int = None
+    looseEdgesIndex: list[int] = None
+
+
+@dataclass
+class FaceData:
+    index: int = None
+    val: int = None
+    sideIndex: int = None
+    resolution: int = None
+    tex: list[float] = None
+
+@dataclass
+class HalfEdgeData:
+    index: int = None
+    targIndex: int = None
+    twinIndex: int = None
+    prevIndex: int = None
+    nextIndex: int = None
+    polyIndex: int = None
+    r: float = None
+    g: float = None
+    b: float = None
+    tx: float = None
+    ty: float = None
+
+    def __repr__(self):
+        return f"HE[{self.index}]"
+
+
+def from_HEMESH(filename):
+    """Read from HEMESH file"""
+    indices: list[list[int]] = [[]]
+    vertices: list[VertexData] = []
+    faces: list[FaceData] = []
+    edges: list[HalfEdgeData] = []
+    with open(filename, 'r') as f:
+        if (ft := f.readline().strip()) != 'HEMESH':
+            raise ValueError(f"Unknown file type '{ft}'.")
+
+        numVert, numFace, numEdge = [int(x) for x in f.readline().split(' ')]
+
+        # Parse vertices
+        while len(vertices) < numVert:
+            if not (toks := f.readline().split(' ')):
+                continue
+
+            vert = VertexData()
+            vert.index = int(toks[0])
+            vert.val = int(toks[1])
+            vert.x, vert.y = float(toks[2]), float(toks[3])
+            vert.outIndex = int(toks[4])
+
+            numOutEdges = int(toks[5])
+            vert.looseEdgesIndex = [int(x) for x in toks[6:] if x.strip()]
+
+            vertices.append(vert)
+
+        # Faces
+        while len(faces) < numFace:
+            if not (toks := f.readline().split(' ')):
+                continue
+
+            face = FaceData()
+            (face.index, face.val,
+                face.sideIndex, face.res) = [int(x) for x in toks[:4]]
+            face.tex = [float(x) for x in toks[4:]]
+
+            faces.append(face)
+
+        while len(edges) < numEdge:
+            if not (toks := f.readline().split(' ')):
+                continue
+
+            edge = HalfEdgeData()
+
+            edge.index = int(toks[0])
+            edge.targIndex = int(toks[1])
+            edge.twinIndex = int(toks[2])
+            edge.prevIndex = int(toks[3])
+            edge.nextIndex = int(toks[4])
+            edge.polyIndex = int(toks[5])
+            edge.r = float(toks[6])
+            edge.g = float(toks[7])
+            edge.b = float(toks[8])
+            edge.tx = float(toks[9])
+            edge.ty = float(toks[10])
+
+            edges.append(edge)
+
+        return (vertices, faces, edges)