diff --git a/.clang-format b/.clang-format new file mode 100644 index 0000000..571e162 --- /dev/null +++ b/.clang-format @@ -0,0 +1,28 @@ +BasedOnStyle: Google + +ColumnLimit: 120 +IndentWidth: 4 +Standard: Cpp11 +AccessModifierOffset: -4 +IndentCaseLabels: false + +AlignAfterOpenBracket: Align +AlignConsecutiveAssignments: false +AlignTrailingComments: true +AlignOperands: true +AllowAllParametersOfDeclarationOnNextLine: false +AllowAllConstructorInitializersOnNextLine: false +AllowShortBlocksOnASingleLine: false +AllowShortFunctionsOnASingleLine: false +BinPackArguments: true +BreakConstructorInitializers: BeforeColon +BreakConstructorInitializersBeforeComma: true +Cpp11BracedListStyle: false +ConstructorInitializerAllOnOneLineOrOnePerLine: false +DerivePointerAlignment: false +MaxEmptyLinesToKeep: 1 +PointerAlignment: Right +ReflowComments: false +SortIncludes: false + +UseTab: Never diff --git a/build_cxx.py b/build_cxx.py new file mode 100644 index 0000000..14cee0c --- /dev/null +++ b/build_cxx.py @@ -0,0 +1,104 @@ +import platform + +from setuptools import setup +from setuptools.errors import CCompilerError, PackageDiscoveryError +from torch.utils.cpp_extension import BuildExtension + + +class MyBuildExtension(BuildExtension): + def run(self): + try: + super(MyBuildExtension, self).run() + except FileNotFoundError: + raise Exception("File not found. Could not compile C extension") + + def build_extension(self, ext): + # common settings + for e in self.extensions: + pass + + # OS specific settings + if platform.system() == "Darwin": + for e in self.extensions: + e.extra_compile_args.extend([ + "-Xpreprocessor", + "-fopenmp", + "-mmacosx-version-min=10.15", + ]) + e.extra_link_args.extend([ + "-lomp", + ]) + + elif platform.system() == "Linux": + for e in self.extensions: + e.extra_compile_args.extend([ + "-fopenmp", + ]) + e.extra_link_args.extend([ + "-fopenmp", + ]) + + # compiler specific settings + if self.compiler.compiler_type == "unix": + for e in self.extensions: + e.extra_compile_args.extend([ + "-std=c++17", + "-pthread", + ]) + + elif self.compiler.compiler_type == "msvc": + for e in self.extensions: + e.extra_compile_args.extend(["/utf-8", "/std:c++17", "/openmp"]) + e.define_macros.extend([ + ("_CRT_SECURE_NO_WARNINGS", 1), + ("_SILENCE_EXPERIMENTAL_FILESYSTEM_DEPRECATION_WARNING", 1), + ]) + + # building + try: + super(MyBuildExtension, self).build_extension(ext) + except (CCompilerError, PackageDiscoveryError, ValueError): + raise Exception("Could not compile C extension") + + +def build(setup_kwargs): + from torch.utils.cpp_extension import CUDAExtension + + try: + setup_kwargs.update({ + "ext_modules": [ + CUDAExtension( + 'torchmcubes_module', + [ + 'cxx/pscan.cu', + 'cxx/mcubes.cpp', + 'cxx/mcubes_cpu.cpp', + 'cxx/mcubes_cuda.cu', + 'cxx/grid_interp_cpu.cpp', + 'cxx/grid_interp_cuda.cu', + ], + extra_compile_args=['-DWITH_CUDA'], + ) + ], + "cmdclass": { + "build_ext": BuildExtension + } + }) + except: + from torch.utils.cpp_extension import CppExtension + + print('CUDA environment was not successfully loaded!') + print('Build only CPU module!') + + setup_kwargs.update({ + 'ext_modules': [ + CppExtension('torchmcubes_module', [ + 'cxx/mcubes.cpp', + 'cxx/mcubes_cpu.cpp', + 'cxx/grid_interp_cpu.cpp', + ]) + ], + 'cmdclass': { + 'build_ext': MyBuildExtension + } + }) diff --git a/cxx/grid_interp_cpu.cpp b/cxx/grid_interp_cpu.cpp index fe09520..43f16b2 100644 --- a/cxx/grid_interp_cpu.cpp +++ b/cxx/grid_interp_cpu.cpp @@ -25,16 +25,15 @@ torch::Tensor grid_interp_cpu(torch::Tensor vol, torch::Tensor points) { const int C = vol.size(0); const int Np = points.size(0); - torch::Tensor output = torch::zeros({Np, C}, - torch::TensorOptions().dtype(torch::kFloat32).device(vol.device())); + torch::Tensor output = torch::zeros({ Np, C }, torch::TensorOptions().dtype(torch::kFloat32).device(vol.device())); auto vol_ascr = vol.accessor(); auto pts_ascr = points.accessor(); auto out_ascr = output.accessor(); - #ifdef _OPENMP - #pragma omp parallel for - #endif +#ifdef _OPENMP +#pragma omp parallel for +#endif for (int i = 0; i < Np; i++) { const float x = pts_ascr[i][0]; const float y = pts_ascr[i][1]; @@ -59,12 +58,12 @@ torch::Tensor grid_interp_cpu(torch::Tensor vol, torch::Tensor points) { const float v01 = (1.0 - fx) * vol_ascr[c][z0][y1][x0] + fx * vol_ascr[c][z0][y1][x1]; const float v10 = (1.0 - fx) * vol_ascr[c][z1][y0][x0] + fx * vol_ascr[c][z1][y0][x1]; const float v11 = (1.0 - fx) * vol_ascr[c][z1][y1][x0] + fx * vol_ascr[c][z1][y1][x1]; - + const float v0 = (1.0 - fy) * v00 + fy * v01; const float v1 = (1.0 - fy) * v10 + fy * v11; out_ascr[i][c] = (1.0 - fz) * v0 + fz * v1; - } + } } return output; diff --git a/cxx/helper_math.h b/cxx/helper_math.h index d56d461..08d2be8 100644 --- a/cxx/helper_math.h +++ b/cxx/helper_math.h @@ -35,28 +35,23 @@ typedef unsigned short ushort; // host implementations of CUDA functions //////////////////////////////////////////////////////////////////////////////// -inline float fminf(float a, float b) -{ +inline float fminf(float a, float b) { return a < b ? a : b; } -inline float fmaxf(float a, float b) -{ +inline float fmaxf(float a, float b) { return a > b ? a : b; } -inline int max(int a, int b) -{ +inline int max(int a, int b) { return a > b ? a : b; } -inline int min(int a, int b) -{ +inline int min(int a, int b) { return a < b ? a : b; } -inline float rsqrtf(float x) -{ +inline float rsqrtf(float x) { return 1.0f / sqrtf(x); } #endif @@ -65,177 +60,135 @@ inline float rsqrtf(float x) // constructors //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 make_float2(float s) -{ +inline __host__ __device__ float2 make_float2(float s) { return make_float2(s, s); } -inline __host__ __device__ float2 make_float2(float3 a) -{ +inline __host__ __device__ float2 make_float2(float3 a) { return make_float2(a.x, a.y); } -inline __host__ __device__ float2 make_float2(int2 a) -{ +inline __host__ __device__ float2 make_float2(int2 a) { return make_float2(float(a.x), float(a.y)); } -inline __host__ __device__ float2 make_float2(uint2 a) -{ +inline __host__ __device__ float2 make_float2(uint2 a) { return make_float2(float(a.x), float(a.y)); } -inline __host__ __device__ int2 make_int2(int s) -{ +inline __host__ __device__ int2 make_int2(int s) { return make_int2(s, s); } -inline __host__ __device__ int2 make_int2(int3 a) -{ +inline __host__ __device__ int2 make_int2(int3 a) { return make_int2(a.x, a.y); } -inline __host__ __device__ int2 make_int2(uint2 a) -{ +inline __host__ __device__ int2 make_int2(uint2 a) { return make_int2(int(a.x), int(a.y)); } -inline __host__ __device__ int2 make_int2(float2 a) -{ +inline __host__ __device__ int2 make_int2(float2 a) { return make_int2(int(a.x), int(a.y)); } -inline __host__ __device__ uint2 make_uint2(uint s) -{ +inline __host__ __device__ uint2 make_uint2(uint s) { return make_uint2(s, s); } -inline __host__ __device__ uint2 make_uint2(uint3 a) -{ +inline __host__ __device__ uint2 make_uint2(uint3 a) { return make_uint2(a.x, a.y); } -inline __host__ __device__ uint2 make_uint2(int2 a) -{ +inline __host__ __device__ uint2 make_uint2(int2 a) { return make_uint2(uint(a.x), uint(a.y)); } -inline __host__ __device__ float3 make_float3(float s) -{ +inline __host__ __device__ float3 make_float3(float s) { return make_float3(s, s, s); } -inline __host__ __device__ float3 make_float3(float2 a) -{ +inline __host__ __device__ float3 make_float3(float2 a) { return make_float3(a.x, a.y, 0.0f); } -inline __host__ __device__ float3 make_float3(float2 a, float s) -{ +inline __host__ __device__ float3 make_float3(float2 a, float s) { return make_float3(a.x, a.y, s); } -inline __host__ __device__ float3 make_float3(float4 a) -{ +inline __host__ __device__ float3 make_float3(float4 a) { return make_float3(a.x, a.y, a.z); } -inline __host__ __device__ float3 make_float3(int3 a) -{ +inline __host__ __device__ float3 make_float3(int3 a) { return make_float3(float(a.x), float(a.y), float(a.z)); } -inline __host__ __device__ float3 make_float3(uint3 a) -{ +inline __host__ __device__ float3 make_float3(uint3 a) { return make_float3(float(a.x), float(a.y), float(a.z)); } -inline __host__ __device__ int3 make_int3(int s) -{ +inline __host__ __device__ int3 make_int3(int s) { return make_int3(s, s, s); } -inline __host__ __device__ int3 make_int3(int2 a) -{ +inline __host__ __device__ int3 make_int3(int2 a) { return make_int3(a.x, a.y, 0); } -inline __host__ __device__ int3 make_int3(int2 a, int s) -{ +inline __host__ __device__ int3 make_int3(int2 a, int s) { return make_int3(a.x, a.y, s); } -inline __host__ __device__ int3 make_int3(uint3 a) -{ +inline __host__ __device__ int3 make_int3(uint3 a) { return make_int3(int(a.x), int(a.y), int(a.z)); } -inline __host__ __device__ int3 make_int3(float3 a) -{ +inline __host__ __device__ int3 make_int3(float3 a) { return make_int3(int(a.x), int(a.y), int(a.z)); } -inline __host__ __device__ uint3 make_uint3(uint s) -{ +inline __host__ __device__ uint3 make_uint3(uint s) { return make_uint3(s, s, s); } -inline __host__ __device__ uint3 make_uint3(uint2 a) -{ +inline __host__ __device__ uint3 make_uint3(uint2 a) { return make_uint3(a.x, a.y, 0); } -inline __host__ __device__ uint3 make_uint3(uint2 a, uint s) -{ +inline __host__ __device__ uint3 make_uint3(uint2 a, uint s) { return make_uint3(a.x, a.y, s); } -inline __host__ __device__ uint3 make_uint3(uint4 a) -{ +inline __host__ __device__ uint3 make_uint3(uint4 a) { return make_uint3(a.x, a.y, a.z); } -inline __host__ __device__ uint3 make_uint3(int3 a) -{ +inline __host__ __device__ uint3 make_uint3(int3 a) { return make_uint3(uint(a.x), uint(a.y), uint(a.z)); } -inline __host__ __device__ float4 make_float4(float s) -{ +inline __host__ __device__ float4 make_float4(float s) { return make_float4(s, s, s, s); } -inline __host__ __device__ float4 make_float4(float3 a) -{ +inline __host__ __device__ float4 make_float4(float3 a) { return make_float4(a.x, a.y, a.z, 0.0f); } -inline __host__ __device__ float4 make_float4(float3 a, float w) -{ +inline __host__ __device__ float4 make_float4(float3 a, float w) { return make_float4(a.x, a.y, a.z, w); } -inline __host__ __device__ float4 make_float4(int4 a) -{ +inline __host__ __device__ float4 make_float4(int4 a) { return make_float4(float(a.x), float(a.y), float(a.z), float(a.w)); } -inline __host__ __device__ float4 make_float4(uint4 a) -{ +inline __host__ __device__ float4 make_float4(uint4 a) { return make_float4(float(a.x), float(a.y), float(a.z), float(a.w)); } -inline __host__ __device__ int4 make_int4(int s) -{ +inline __host__ __device__ int4 make_int4(int s) { return make_int4(s, s, s, s); } -inline __host__ __device__ int4 make_int4(int3 a) -{ +inline __host__ __device__ int4 make_int4(int3 a) { return make_int4(a.x, a.y, a.z, 0); } -inline __host__ __device__ int4 make_int4(int3 a, int w) -{ +inline __host__ __device__ int4 make_int4(int3 a, int w) { return make_int4(a.x, a.y, a.z, w); } -inline __host__ __device__ int4 make_int4(uint4 a) -{ +inline __host__ __device__ int4 make_int4(uint4 a) { return make_int4(int(a.x), int(a.y), int(a.z), int(a.w)); } -inline __host__ __device__ int4 make_int4(float4 a) -{ +inline __host__ __device__ int4 make_int4(float4 a) { return make_int4(int(a.x), int(a.y), int(a.z), int(a.w)); } - -inline __host__ __device__ uint4 make_uint4(uint s) -{ +inline __host__ __device__ uint4 make_uint4(uint s) { return make_uint4(s, s, s, s); } -inline __host__ __device__ uint4 make_uint4(uint3 a) -{ +inline __host__ __device__ uint4 make_uint4(uint3 a) { return make_uint4(a.x, a.y, a.z, 0); } -inline __host__ __device__ uint4 make_uint4(uint3 a, uint w) -{ +inline __host__ __device__ uint4 make_uint4(uint3 a, uint w) { return make_uint4(a.x, a.y, a.z, w); } -inline __host__ __device__ uint4 make_uint4(int4 a) -{ +inline __host__ __device__ uint4 make_uint4(int4 a) { return make_uint4(uint(a.x), uint(a.y), uint(a.z), uint(a.w)); } @@ -243,28 +196,22 @@ inline __host__ __device__ uint4 make_uint4(int4 a) // negate //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 operator-(float2 &a) -{ +inline __host__ __device__ float2 operator-(float2 &a) { return make_float2(-a.x, -a.y); } -inline __host__ __device__ int2 operator-(int2 &a) -{ +inline __host__ __device__ int2 operator-(int2 &a) { return make_int2(-a.x, -a.y); } -inline __host__ __device__ float3 operator-(float3 &a) -{ +inline __host__ __device__ float3 operator-(float3 &a) { return make_float3(-a.x, -a.y, -a.z); } -inline __host__ __device__ int3 operator-(int3 &a) -{ +inline __host__ __device__ int3 operator-(int3 &a) { return make_int3(-a.x, -a.y, -a.z); } -inline __host__ __device__ float4 operator-(float4 &a) -{ +inline __host__ __device__ float4 operator-(float4 &a) { return make_float4(-a.x, -a.y, -a.z, -a.w); } -inline __host__ __device__ int4 operator-(int4 &a) -{ +inline __host__ __device__ int4 operator-(int4 &a) { return make_int4(-a.x, -a.y, -a.z, -a.w); } @@ -272,227 +219,181 @@ inline __host__ __device__ int4 operator-(int4 &a) // addition //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 operator+(float2 a, float2 b) -{ +inline __host__ __device__ float2 operator+(float2 a, float2 b) { return make_float2(a.x + b.x, a.y + b.y); } -inline __host__ __device__ void operator+=(float2 &a, float2 b) -{ +inline __host__ __device__ void operator+=(float2 &a, float2 b) { a.x += b.x; a.y += b.y; } -inline __host__ __device__ float2 operator+(float2 a, float b) -{ +inline __host__ __device__ float2 operator+(float2 a, float b) { return make_float2(a.x + b, a.y + b); } -inline __host__ __device__ float2 operator+(float b, float2 a) -{ +inline __host__ __device__ float2 operator+(float b, float2 a) { return make_float2(a.x + b, a.y + b); } -inline __host__ __device__ void operator+=(float2 &a, float b) -{ +inline __host__ __device__ void operator+=(float2 &a, float b) { a.x += b; a.y += b; } -inline __host__ __device__ int2 operator+(int2 a, int2 b) -{ +inline __host__ __device__ int2 operator+(int2 a, int2 b) { return make_int2(a.x + b.x, a.y + b.y); } -inline __host__ __device__ void operator+=(int2 &a, int2 b) -{ +inline __host__ __device__ void operator+=(int2 &a, int2 b) { a.x += b.x; a.y += b.y; } -inline __host__ __device__ int2 operator+(int2 a, int b) -{ +inline __host__ __device__ int2 operator+(int2 a, int b) { return make_int2(a.x + b, a.y + b); } -inline __host__ __device__ int2 operator+(int b, int2 a) -{ +inline __host__ __device__ int2 operator+(int b, int2 a) { return make_int2(a.x + b, a.y + b); } -inline __host__ __device__ void operator+=(int2 &a, int b) -{ +inline __host__ __device__ void operator+=(int2 &a, int b) { a.x += b; a.y += b; } -inline __host__ __device__ uint2 operator+(uint2 a, uint2 b) -{ +inline __host__ __device__ uint2 operator+(uint2 a, uint2 b) { return make_uint2(a.x + b.x, a.y + b.y); } -inline __host__ __device__ void operator+=(uint2 &a, uint2 b) -{ +inline __host__ __device__ void operator+=(uint2 &a, uint2 b) { a.x += b.x; a.y += b.y; } -inline __host__ __device__ uint2 operator+(uint2 a, uint b) -{ +inline __host__ __device__ uint2 operator+(uint2 a, uint b) { return make_uint2(a.x + b, a.y + b); } -inline __host__ __device__ uint2 operator+(uint b, uint2 a) -{ +inline __host__ __device__ uint2 operator+(uint b, uint2 a) { return make_uint2(a.x + b, a.y + b); } -inline __host__ __device__ void operator+=(uint2 &a, uint b) -{ +inline __host__ __device__ void operator+=(uint2 &a, uint b) { a.x += b; a.y += b; } - -inline __host__ __device__ float3 operator+(float3 a, float3 b) -{ +inline __host__ __device__ float3 operator+(float3 a, float3 b) { return make_float3(a.x + b.x, a.y + b.y, a.z + b.z); } -inline __host__ __device__ void operator+=(float3 &a, float3 b) -{ +inline __host__ __device__ void operator+=(float3 &a, float3 b) { a.x += b.x; a.y += b.y; a.z += b.z; } -inline __host__ __device__ float3 operator+(float3 a, float b) -{ +inline __host__ __device__ float3 operator+(float3 a, float b) { return make_float3(a.x + b, a.y + b, a.z + b); } -inline __host__ __device__ void operator+=(float3 &a, float b) -{ +inline __host__ __device__ void operator+=(float3 &a, float b) { a.x += b; a.y += b; a.z += b; } -inline __host__ __device__ int3 operator+(int3 a, int3 b) -{ +inline __host__ __device__ int3 operator+(int3 a, int3 b) { return make_int3(a.x + b.x, a.y + b.y, a.z + b.z); } -inline __host__ __device__ void operator+=(int3 &a, int3 b) -{ +inline __host__ __device__ void operator+=(int3 &a, int3 b) { a.x += b.x; a.y += b.y; a.z += b.z; } -inline __host__ __device__ int3 operator+(int3 a, int b) -{ +inline __host__ __device__ int3 operator+(int3 a, int b) { return make_int3(a.x + b, a.y + b, a.z + b); } -inline __host__ __device__ void operator+=(int3 &a, int b) -{ +inline __host__ __device__ void operator+=(int3 &a, int b) { a.x += b; a.y += b; a.z += b; } -inline __host__ __device__ uint3 operator+(uint3 a, uint3 b) -{ +inline __host__ __device__ uint3 operator+(uint3 a, uint3 b) { return make_uint3(a.x + b.x, a.y + b.y, a.z + b.z); } -inline __host__ __device__ void operator+=(uint3 &a, uint3 b) -{ +inline __host__ __device__ void operator+=(uint3 &a, uint3 b) { a.x += b.x; a.y += b.y; a.z += b.z; } -inline __host__ __device__ uint3 operator+(uint3 a, uint b) -{ +inline __host__ __device__ uint3 operator+(uint3 a, uint b) { return make_uint3(a.x + b, a.y + b, a.z + b); } -inline __host__ __device__ void operator+=(uint3 &a, uint b) -{ +inline __host__ __device__ void operator+=(uint3 &a, uint b) { a.x += b; a.y += b; a.z += b; } -inline __host__ __device__ int3 operator+(int b, int3 a) -{ +inline __host__ __device__ int3 operator+(int b, int3 a) { return make_int3(a.x + b, a.y + b, a.z + b); } -inline __host__ __device__ uint3 operator+(uint b, uint3 a) -{ +inline __host__ __device__ uint3 operator+(uint b, uint3 a) { return make_uint3(a.x + b, a.y + b, a.z + b); } -inline __host__ __device__ float3 operator+(float b, float3 a) -{ +inline __host__ __device__ float3 operator+(float b, float3 a) { return make_float3(a.x + b, a.y + b, a.z + b); } -inline __host__ __device__ float4 operator+(float4 a, float4 b) -{ - return make_float4(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w); +inline __host__ __device__ float4 operator+(float4 a, float4 b) { + return make_float4(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w); } -inline __host__ __device__ void operator+=(float4 &a, float4 b) -{ +inline __host__ __device__ void operator+=(float4 &a, float4 b) { a.x += b.x; a.y += b.y; a.z += b.z; a.w += b.w; } -inline __host__ __device__ float4 operator+(float4 a, float b) -{ +inline __host__ __device__ float4 operator+(float4 a, float b) { return make_float4(a.x + b, a.y + b, a.z + b, a.w + b); } -inline __host__ __device__ float4 operator+(float b, float4 a) -{ +inline __host__ __device__ float4 operator+(float b, float4 a) { return make_float4(a.x + b, a.y + b, a.z + b, a.w + b); } -inline __host__ __device__ void operator+=(float4 &a, float b) -{ +inline __host__ __device__ void operator+=(float4 &a, float b) { a.x += b; a.y += b; a.z += b; a.w += b; } -inline __host__ __device__ int4 operator+(int4 a, int4 b) -{ - return make_int4(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w); +inline __host__ __device__ int4 operator+(int4 a, int4 b) { + return make_int4(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w); } -inline __host__ __device__ void operator+=(int4 &a, int4 b) -{ +inline __host__ __device__ void operator+=(int4 &a, int4 b) { a.x += b.x; a.y += b.y; a.z += b.z; a.w += b.w; } -inline __host__ __device__ int4 operator+(int4 a, int b) -{ - return make_int4(a.x + b, a.y + b, a.z + b, a.w + b); +inline __host__ __device__ int4 operator+(int4 a, int b) { + return make_int4(a.x + b, a.y + b, a.z + b, a.w + b); } -inline __host__ __device__ int4 operator+(int b, int4 a) -{ - return make_int4(a.x + b, a.y + b, a.z + b, a.w + b); +inline __host__ __device__ int4 operator+(int b, int4 a) { + return make_int4(a.x + b, a.y + b, a.z + b, a.w + b); } -inline __host__ __device__ void operator+=(int4 &a, int b) -{ +inline __host__ __device__ void operator+=(int4 &a, int b) { a.x += b; a.y += b; a.z += b; a.w += b; } -inline __host__ __device__ uint4 operator+(uint4 a, uint4 b) -{ - return make_uint4(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w); +inline __host__ __device__ uint4 operator+(uint4 a, uint4 b) { + return make_uint4(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w); } -inline __host__ __device__ void operator+=(uint4 &a, uint4 b) -{ +inline __host__ __device__ void operator+=(uint4 &a, uint4 b) { a.x += b.x; a.y += b.y; a.z += b.z; a.w += b.w; } -inline __host__ __device__ uint4 operator+(uint4 a, uint b) -{ - return make_uint4(a.x + b, a.y + b, a.z + b, a.w + b); +inline __host__ __device__ uint4 operator+(uint4 a, uint b) { + return make_uint4(a.x + b, a.y + b, a.z + b, a.w + b); } -inline __host__ __device__ uint4 operator+(uint b, uint4 a) -{ - return make_uint4(a.x + b, a.y + b, a.z + b, a.w + b); +inline __host__ __device__ uint4 operator+(uint b, uint4 a) { + return make_uint4(a.x + b, a.y + b, a.z + b, a.w + b); } -inline __host__ __device__ void operator+=(uint4 &a, uint b) -{ +inline __host__ __device__ void operator+=(uint4 &a, uint b) { a.x += b; a.y += b; a.z += b; @@ -503,221 +404,177 @@ inline __host__ __device__ void operator+=(uint4 &a, uint b) // subtract //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 operator-(float2 a, float2 b) -{ +inline __host__ __device__ float2 operator-(float2 a, float2 b) { return make_float2(a.x - b.x, a.y - b.y); } -inline __host__ __device__ void operator-=(float2 &a, float2 b) -{ +inline __host__ __device__ void operator-=(float2 &a, float2 b) { a.x -= b.x; a.y -= b.y; } -inline __host__ __device__ float2 operator-(float2 a, float b) -{ +inline __host__ __device__ float2 operator-(float2 a, float b) { return make_float2(a.x - b, a.y - b); } -inline __host__ __device__ float2 operator-(float b, float2 a) -{ +inline __host__ __device__ float2 operator-(float b, float2 a) { return make_float2(b - a.x, b - a.y); } -inline __host__ __device__ void operator-=(float2 &a, float b) -{ +inline __host__ __device__ void operator-=(float2 &a, float b) { a.x -= b; a.y -= b; } -inline __host__ __device__ int2 operator-(int2 a, int2 b) -{ +inline __host__ __device__ int2 operator-(int2 a, int2 b) { return make_int2(a.x - b.x, a.y - b.y); } -inline __host__ __device__ void operator-=(int2 &a, int2 b) -{ +inline __host__ __device__ void operator-=(int2 &a, int2 b) { a.x -= b.x; a.y -= b.y; } -inline __host__ __device__ int2 operator-(int2 a, int b) -{ +inline __host__ __device__ int2 operator-(int2 a, int b) { return make_int2(a.x - b, a.y - b); } -inline __host__ __device__ int2 operator-(int b, int2 a) -{ +inline __host__ __device__ int2 operator-(int b, int2 a) { return make_int2(b - a.x, b - a.y); } -inline __host__ __device__ void operator-=(int2 &a, int b) -{ +inline __host__ __device__ void operator-=(int2 &a, int b) { a.x -= b; a.y -= b; } -inline __host__ __device__ uint2 operator-(uint2 a, uint2 b) -{ +inline __host__ __device__ uint2 operator-(uint2 a, uint2 b) { return make_uint2(a.x - b.x, a.y - b.y); } -inline __host__ __device__ void operator-=(uint2 &a, uint2 b) -{ +inline __host__ __device__ void operator-=(uint2 &a, uint2 b) { a.x -= b.x; a.y -= b.y; } -inline __host__ __device__ uint2 operator-(uint2 a, uint b) -{ +inline __host__ __device__ uint2 operator-(uint2 a, uint b) { return make_uint2(a.x - b, a.y - b); } -inline __host__ __device__ uint2 operator-(uint b, uint2 a) -{ +inline __host__ __device__ uint2 operator-(uint b, uint2 a) { return make_uint2(b - a.x, b - a.y); } -inline __host__ __device__ void operator-=(uint2 &a, uint b) -{ +inline __host__ __device__ void operator-=(uint2 &a, uint b) { a.x -= b; a.y -= b; } -inline __host__ __device__ float3 operator-(float3 a, float3 b) -{ +inline __host__ __device__ float3 operator-(float3 a, float3 b) { return make_float3(a.x - b.x, a.y - b.y, a.z - b.z); } -inline __host__ __device__ void operator-=(float3 &a, float3 b) -{ +inline __host__ __device__ void operator-=(float3 &a, float3 b) { a.x -= b.x; a.y -= b.y; a.z -= b.z; } -inline __host__ __device__ float3 operator-(float3 a, float b) -{ +inline __host__ __device__ float3 operator-(float3 a, float b) { return make_float3(a.x - b, a.y - b, a.z - b); } -inline __host__ __device__ float3 operator-(float b, float3 a) -{ +inline __host__ __device__ float3 operator-(float b, float3 a) { return make_float3(b - a.x, b - a.y, b - a.z); } -inline __host__ __device__ void operator-=(float3 &a, float b) -{ +inline __host__ __device__ void operator-=(float3 &a, float b) { a.x -= b; a.y -= b; a.z -= b; } -inline __host__ __device__ int3 operator-(int3 a, int3 b) -{ +inline __host__ __device__ int3 operator-(int3 a, int3 b) { return make_int3(a.x - b.x, a.y - b.y, a.z - b.z); } -inline __host__ __device__ void operator-=(int3 &a, int3 b) -{ +inline __host__ __device__ void operator-=(int3 &a, int3 b) { a.x -= b.x; a.y -= b.y; a.z -= b.z; } -inline __host__ __device__ int3 operator-(int3 a, int b) -{ +inline __host__ __device__ int3 operator-(int3 a, int b) { return make_int3(a.x - b, a.y - b, a.z - b); } -inline __host__ __device__ int3 operator-(int b, int3 a) -{ +inline __host__ __device__ int3 operator-(int b, int3 a) { return make_int3(b - a.x, b - a.y, b - a.z); } -inline __host__ __device__ void operator-=(int3 &a, int b) -{ +inline __host__ __device__ void operator-=(int3 &a, int b) { a.x -= b; a.y -= b; a.z -= b; } -inline __host__ __device__ uint3 operator-(uint3 a, uint3 b) -{ +inline __host__ __device__ uint3 operator-(uint3 a, uint3 b) { return make_uint3(a.x - b.x, a.y - b.y, a.z - b.z); } -inline __host__ __device__ void operator-=(uint3 &a, uint3 b) -{ +inline __host__ __device__ void operator-=(uint3 &a, uint3 b) { a.x -= b.x; a.y -= b.y; a.z -= b.z; } -inline __host__ __device__ uint3 operator-(uint3 a, uint b) -{ +inline __host__ __device__ uint3 operator-(uint3 a, uint b) { return make_uint3(a.x - b, a.y - b, a.z - b); } -inline __host__ __device__ uint3 operator-(uint b, uint3 a) -{ +inline __host__ __device__ uint3 operator-(uint b, uint3 a) { return make_uint3(b - a.x, b - a.y, b - a.z); } -inline __host__ __device__ void operator-=(uint3 &a, uint b) -{ +inline __host__ __device__ void operator-=(uint3 &a, uint b) { a.x -= b; a.y -= b; a.z -= b; } -inline __host__ __device__ float4 operator-(float4 a, float4 b) -{ - return make_float4(a.x - b.x, a.y - b.y, a.z - b.z, a.w - b.w); +inline __host__ __device__ float4 operator-(float4 a, float4 b) { + return make_float4(a.x - b.x, a.y - b.y, a.z - b.z, a.w - b.w); } -inline __host__ __device__ void operator-=(float4 &a, float4 b) -{ +inline __host__ __device__ void operator-=(float4 &a, float4 b) { a.x -= b.x; a.y -= b.y; a.z -= b.z; a.w -= b.w; } -inline __host__ __device__ float4 operator-(float4 a, float b) -{ - return make_float4(a.x - b, a.y - b, a.z - b, a.w - b); +inline __host__ __device__ float4 operator-(float4 a, float b) { + return make_float4(a.x - b, a.y - b, a.z - b, a.w - b); } -inline __host__ __device__ void operator-=(float4 &a, float b) -{ +inline __host__ __device__ void operator-=(float4 &a, float b) { a.x -= b; a.y -= b; a.z -= b; a.w -= b; } -inline __host__ __device__ int4 operator-(int4 a, int4 b) -{ - return make_int4(a.x - b.x, a.y - b.y, a.z - b.z, a.w - b.w); +inline __host__ __device__ int4 operator-(int4 a, int4 b) { + return make_int4(a.x - b.x, a.y - b.y, a.z - b.z, a.w - b.w); } -inline __host__ __device__ void operator-=(int4 &a, int4 b) -{ +inline __host__ __device__ void operator-=(int4 &a, int4 b) { a.x -= b.x; a.y -= b.y; a.z -= b.z; a.w -= b.w; } -inline __host__ __device__ int4 operator-(int4 a, int b) -{ - return make_int4(a.x - b, a.y - b, a.z - b, a.w - b); +inline __host__ __device__ int4 operator-(int4 a, int b) { + return make_int4(a.x - b, a.y - b, a.z - b, a.w - b); } -inline __host__ __device__ int4 operator-(int b, int4 a) -{ +inline __host__ __device__ int4 operator-(int b, int4 a) { return make_int4(b - a.x, b - a.y, b - a.z, b - a.w); } -inline __host__ __device__ void operator-=(int4 &a, int b) -{ +inline __host__ __device__ void operator-=(int4 &a, int b) { a.x -= b; a.y -= b; a.z -= b; a.w -= b; } -inline __host__ __device__ uint4 operator-(uint4 a, uint4 b) -{ - return make_uint4(a.x - b.x, a.y - b.y, a.z - b.z, a.w - b.w); +inline __host__ __device__ uint4 operator-(uint4 a, uint4 b) { + return make_uint4(a.x - b.x, a.y - b.y, a.z - b.z, a.w - b.w); } -inline __host__ __device__ void operator-=(uint4 &a, uint4 b) -{ +inline __host__ __device__ void operator-=(uint4 &a, uint4 b) { a.x -= b.x; a.y -= b.y; a.z -= b.z; a.w -= b.w; } -inline __host__ __device__ uint4 operator-(uint4 a, uint b) -{ - return make_uint4(a.x - b, a.y - b, a.z - b, a.w - b); +inline __host__ __device__ uint4 operator-(uint4 a, uint b) { + return make_uint4(a.x - b, a.y - b, a.z - b, a.w - b); } -inline __host__ __device__ uint4 operator-(uint b, uint4 a) -{ +inline __host__ __device__ uint4 operator-(uint b, uint4 a) { return make_uint4(b - a.x, b - a.y, b - a.z, b - a.w); } -inline __host__ __device__ void operator-=(uint4 &a, uint b) -{ +inline __host__ __device__ void operator-=(uint4 &a, uint b) { a.x -= b; a.y -= b; a.z -= b; @@ -728,225 +585,180 @@ inline __host__ __device__ void operator-=(uint4 &a, uint b) // multiply //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 operator*(float2 a, float2 b) -{ +inline __host__ __device__ float2 operator*(float2 a, float2 b) { return make_float2(a.x * b.x, a.y * b.y); } -inline __host__ __device__ void operator*=(float2 &a, float2 b) -{ +inline __host__ __device__ void operator*=(float2 &a, float2 b) { a.x *= b.x; a.y *= b.y; } -inline __host__ __device__ float2 operator*(float2 a, float b) -{ +inline __host__ __device__ float2 operator*(float2 a, float b) { return make_float2(a.x * b, a.y * b); } -inline __host__ __device__ float2 operator*(float b, float2 a) -{ +inline __host__ __device__ float2 operator*(float b, float2 a) { return make_float2(b * a.x, b * a.y); } -inline __host__ __device__ void operator*=(float2 &a, float b) -{ +inline __host__ __device__ void operator*=(float2 &a, float b) { a.x *= b; a.y *= b; } -inline __host__ __device__ int2 operator*(int2 a, int2 b) -{ +inline __host__ __device__ int2 operator*(int2 a, int2 b) { return make_int2(a.x * b.x, a.y * b.y); } -inline __host__ __device__ void operator*=(int2 &a, int2 b) -{ +inline __host__ __device__ void operator*=(int2 &a, int2 b) { a.x *= b.x; a.y *= b.y; } -inline __host__ __device__ int2 operator*(int2 a, int b) -{ +inline __host__ __device__ int2 operator*(int2 a, int b) { return make_int2(a.x * b, a.y * b); } -inline __host__ __device__ int2 operator*(int b, int2 a) -{ +inline __host__ __device__ int2 operator*(int b, int2 a) { return make_int2(b * a.x, b * a.y); } -inline __host__ __device__ void operator*=(int2 &a, int b) -{ +inline __host__ __device__ void operator*=(int2 &a, int b) { a.x *= b; a.y *= b; } -inline __host__ __device__ uint2 operator*(uint2 a, uint2 b) -{ +inline __host__ __device__ uint2 operator*(uint2 a, uint2 b) { return make_uint2(a.x * b.x, a.y * b.y); } -inline __host__ __device__ void operator*=(uint2 &a, uint2 b) -{ +inline __host__ __device__ void operator*=(uint2 &a, uint2 b) { a.x *= b.x; a.y *= b.y; } -inline __host__ __device__ uint2 operator*(uint2 a, uint b) -{ +inline __host__ __device__ uint2 operator*(uint2 a, uint b) { return make_uint2(a.x * b, a.y * b); } -inline __host__ __device__ uint2 operator*(uint b, uint2 a) -{ +inline __host__ __device__ uint2 operator*(uint b, uint2 a) { return make_uint2(b * a.x, b * a.y); } -inline __host__ __device__ void operator*=(uint2 &a, uint b) -{ +inline __host__ __device__ void operator*=(uint2 &a, uint b) { a.x *= b; a.y *= b; } -inline __host__ __device__ float3 operator*(float3 a, float3 b) -{ +inline __host__ __device__ float3 operator*(float3 a, float3 b) { return make_float3(a.x * b.x, a.y * b.y, a.z * b.z); } -inline __host__ __device__ void operator*=(float3 &a, float3 b) -{ +inline __host__ __device__ void operator*=(float3 &a, float3 b) { a.x *= b.x; a.y *= b.y; a.z *= b.z; } -inline __host__ __device__ float3 operator*(float3 a, float b) -{ +inline __host__ __device__ float3 operator*(float3 a, float b) { return make_float3(a.x * b, a.y * b, a.z * b); } -inline __host__ __device__ float3 operator*(float b, float3 a) -{ +inline __host__ __device__ float3 operator*(float b, float3 a) { return make_float3(b * a.x, b * a.y, b * a.z); } -inline __host__ __device__ void operator*=(float3 &a, float b) -{ +inline __host__ __device__ void operator*=(float3 &a, float b) { a.x *= b; a.y *= b; a.z *= b; } -inline __host__ __device__ int3 operator*(int3 a, int3 b) -{ +inline __host__ __device__ int3 operator*(int3 a, int3 b) { return make_int3(a.x * b.x, a.y * b.y, a.z * b.z); } -inline __host__ __device__ void operator*=(int3 &a, int3 b) -{ +inline __host__ __device__ void operator*=(int3 &a, int3 b) { a.x *= b.x; a.y *= b.y; a.z *= b.z; } -inline __host__ __device__ int3 operator*(int3 a, int b) -{ +inline __host__ __device__ int3 operator*(int3 a, int b) { return make_int3(a.x * b, a.y * b, a.z * b); } -inline __host__ __device__ int3 operator*(int b, int3 a) -{ +inline __host__ __device__ int3 operator*(int b, int3 a) { return make_int3(b * a.x, b * a.y, b * a.z); } -inline __host__ __device__ void operator*=(int3 &a, int b) -{ +inline __host__ __device__ void operator*=(int3 &a, int b) { a.x *= b; a.y *= b; a.z *= b; } -inline __host__ __device__ uint3 operator*(uint3 a, uint3 b) -{ +inline __host__ __device__ uint3 operator*(uint3 a, uint3 b) { return make_uint3(a.x * b.x, a.y * b.y, a.z * b.z); } -inline __host__ __device__ void operator*=(uint3 &a, uint3 b) -{ +inline __host__ __device__ void operator*=(uint3 &a, uint3 b) { a.x *= b.x; a.y *= b.y; a.z *= b.z; } -inline __host__ __device__ uint3 operator*(uint3 a, uint b) -{ +inline __host__ __device__ uint3 operator*(uint3 a, uint b) { return make_uint3(a.x * b, a.y * b, a.z * b); } -inline __host__ __device__ uint3 operator*(uint b, uint3 a) -{ +inline __host__ __device__ uint3 operator*(uint b, uint3 a) { return make_uint3(b * a.x, b * a.y, b * a.z); } -inline __host__ __device__ void operator*=(uint3 &a, uint b) -{ +inline __host__ __device__ void operator*=(uint3 &a, uint b) { a.x *= b; a.y *= b; a.z *= b; } -inline __host__ __device__ float4 operator*(float4 a, float4 b) -{ - return make_float4(a.x * b.x, a.y * b.y, a.z * b.z, a.w * b.w); +inline __host__ __device__ float4 operator*(float4 a, float4 b) { + return make_float4(a.x * b.x, a.y * b.y, a.z * b.z, a.w * b.w); } -inline __host__ __device__ void operator*=(float4 &a, float4 b) -{ +inline __host__ __device__ void operator*=(float4 &a, float4 b) { a.x *= b.x; a.y *= b.y; a.z *= b.z; a.w *= b.w; } -inline __host__ __device__ float4 operator*(float4 a, float b) -{ - return make_float4(a.x * b, a.y * b, a.z * b, a.w * b); +inline __host__ __device__ float4 operator*(float4 a, float b) { + return make_float4(a.x * b, a.y * b, a.z * b, a.w * b); } -inline __host__ __device__ float4 operator*(float b, float4 a) -{ +inline __host__ __device__ float4 operator*(float b, float4 a) { return make_float4(b * a.x, b * a.y, b * a.z, b * a.w); } -inline __host__ __device__ void operator*=(float4 &a, float b) -{ +inline __host__ __device__ void operator*=(float4 &a, float b) { a.x *= b; a.y *= b; a.z *= b; a.w *= b; } -inline __host__ __device__ int4 operator*(int4 a, int4 b) -{ - return make_int4(a.x * b.x, a.y * b.y, a.z * b.z, a.w * b.w); +inline __host__ __device__ int4 operator*(int4 a, int4 b) { + return make_int4(a.x * b.x, a.y * b.y, a.z * b.z, a.w * b.w); } -inline __host__ __device__ void operator*=(int4 &a, int4 b) -{ +inline __host__ __device__ void operator*=(int4 &a, int4 b) { a.x *= b.x; a.y *= b.y; a.z *= b.z; a.w *= b.w; } -inline __host__ __device__ int4 operator*(int4 a, int b) -{ - return make_int4(a.x * b, a.y * b, a.z * b, a.w * b); +inline __host__ __device__ int4 operator*(int4 a, int b) { + return make_int4(a.x * b, a.y * b, a.z * b, a.w * b); } -inline __host__ __device__ int4 operator*(int b, int4 a) -{ +inline __host__ __device__ int4 operator*(int b, int4 a) { return make_int4(b * a.x, b * a.y, b * a.z, b * a.w); } -inline __host__ __device__ void operator*=(int4 &a, int b) -{ +inline __host__ __device__ void operator*=(int4 &a, int b) { a.x *= b; a.y *= b; a.z *= b; a.w *= b; } -inline __host__ __device__ uint4 operator*(uint4 a, uint4 b) -{ - return make_uint4(a.x * b.x, a.y * b.y, a.z * b.z, a.w * b.w); +inline __host__ __device__ uint4 operator*(uint4 a, uint4 b) { + return make_uint4(a.x * b.x, a.y * b.y, a.z * b.z, a.w * b.w); } -inline __host__ __device__ void operator*=(uint4 &a, uint4 b) -{ +inline __host__ __device__ void operator*=(uint4 &a, uint4 b) { a.x *= b.x; a.y *= b.y; a.z *= b.z; a.w *= b.w; } -inline __host__ __device__ uint4 operator*(uint4 a, uint b) -{ - return make_uint4(a.x * b, a.y * b, a.z * b, a.w * b); +inline __host__ __device__ uint4 operator*(uint4 a, uint b) { + return make_uint4(a.x * b, a.y * b, a.z * b, a.w * b); } -inline __host__ __device__ uint4 operator*(uint b, uint4 a) -{ +inline __host__ __device__ uint4 operator*(uint b, uint4 a) { return make_uint4(b * a.x, b * a.y, b * a.z, b * a.w); } -inline __host__ __device__ void operator*=(uint4 &a, uint b) -{ +inline __host__ __device__ void operator*=(uint4 &a, uint b) { a.x *= b; a.y *= b; a.z *= b; @@ -957,78 +769,63 @@ inline __host__ __device__ void operator*=(uint4 &a, uint b) // divide //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 operator/(float2 a, float2 b) -{ +inline __host__ __device__ float2 operator/(float2 a, float2 b) { return make_float2(a.x / b.x, a.y / b.y); } -inline __host__ __device__ void operator/=(float2 &a, float2 b) -{ +inline __host__ __device__ void operator/=(float2 &a, float2 b) { a.x /= b.x; a.y /= b.y; } -inline __host__ __device__ float2 operator/(float2 a, float b) -{ +inline __host__ __device__ float2 operator/(float2 a, float b) { return make_float2(a.x / b, a.y / b); } -inline __host__ __device__ void operator/=(float2 &a, float b) -{ +inline __host__ __device__ void operator/=(float2 &a, float b) { a.x /= b; a.y /= b; } -inline __host__ __device__ float2 operator/(float b, float2 a) -{ +inline __host__ __device__ float2 operator/(float b, float2 a) { return make_float2(b / a.x, b / a.y); } -inline __host__ __device__ float3 operator/(float3 a, float3 b) -{ +inline __host__ __device__ float3 operator/(float3 a, float3 b) { return make_float3(a.x / b.x, a.y / b.y, a.z / b.z); } -inline __host__ __device__ void operator/=(float3 &a, float3 b) -{ +inline __host__ __device__ void operator/=(float3 &a, float3 b) { a.x /= b.x; a.y /= b.y; a.z /= b.z; } -inline __host__ __device__ float3 operator/(float3 a, float b) -{ +inline __host__ __device__ float3 operator/(float3 a, float b) { return make_float3(a.x / b, a.y / b, a.z / b); } -inline __host__ __device__ void operator/=(float3 &a, float b) -{ +inline __host__ __device__ void operator/=(float3 &a, float b) { a.x /= b; a.y /= b; a.z /= b; } -inline __host__ __device__ float3 operator/(float b, float3 a) -{ +inline __host__ __device__ float3 operator/(float b, float3 a) { return make_float3(b / a.x, b / a.y, b / a.z); } -inline __host__ __device__ float4 operator/(float4 a, float4 b) -{ - return make_float4(a.x / b.x, a.y / b.y, a.z / b.z, a.w / b.w); +inline __host__ __device__ float4 operator/(float4 a, float4 b) { + return make_float4(a.x / b.x, a.y / b.y, a.z / b.z, a.w / b.w); } -inline __host__ __device__ void operator/=(float4 &a, float4 b) -{ +inline __host__ __device__ void operator/=(float4 &a, float4 b) { a.x /= b.x; a.y /= b.y; a.z /= b.z; a.w /= b.w; } -inline __host__ __device__ float4 operator/(float4 a, float b) -{ - return make_float4(a.x / b, a.y / b, a.z / b, a.w / b); +inline __host__ __device__ float4 operator/(float4 a, float b) { + return make_float4(a.x / b, a.y / b, a.z / b, a.w / b); } -inline __host__ __device__ void operator/=(float4 &a, float b) -{ +inline __host__ __device__ void operator/=(float4 &a, float b) { a.x /= b; a.y /= b; a.z /= b; a.w /= b; } -inline __host__ __device__ float4 operator/(float b, float4 a) -{ +inline __host__ __device__ float4 operator/(float b, float4 a) { return make_float4(b / a.x, b / a.y, b / a.z, b / a.w); } @@ -1036,86 +833,68 @@ inline __host__ __device__ float4 operator/(float b, float4 a) // min //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 fminf(float2 a, float2 b) -{ - return make_float2(fminf(a.x,b.x), fminf(a.y,b.y)); +inline __host__ __device__ float2 fminf(float2 a, float2 b) { + return make_float2(fminf(a.x, b.x), fminf(a.y, b.y)); } -inline __host__ __device__ float3 fminf(float3 a, float3 b) -{ - return make_float3(fminf(a.x,b.x), fminf(a.y,b.y), fminf(a.z,b.z)); +inline __host__ __device__ float3 fminf(float3 a, float3 b) { + return make_float3(fminf(a.x, b.x), fminf(a.y, b.y), fminf(a.z, b.z)); } -inline __host__ __device__ float4 fminf(float4 a, float4 b) -{ - return make_float4(fminf(a.x,b.x), fminf(a.y,b.y), fminf(a.z,b.z), fminf(a.w,b.w)); +inline __host__ __device__ float4 fminf(float4 a, float4 b) { + return make_float4(fminf(a.x, b.x), fminf(a.y, b.y), fminf(a.z, b.z), fminf(a.w, b.w)); } -inline __host__ __device__ int2 min(int2 a, int2 b) -{ - return make_int2(min(a.x,b.x), min(a.y,b.y)); +inline __host__ __device__ int2 min(int2 a, int2 b) { + return make_int2(min(a.x, b.x), min(a.y, b.y)); } -inline __host__ __device__ int3 min(int3 a, int3 b) -{ - return make_int3(min(a.x,b.x), min(a.y,b.y), min(a.z,b.z)); +inline __host__ __device__ int3 min(int3 a, int3 b) { + return make_int3(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z)); } -inline __host__ __device__ int4 min(int4 a, int4 b) -{ - return make_int4(min(a.x,b.x), min(a.y,b.y), min(a.z,b.z), min(a.w,b.w)); +inline __host__ __device__ int4 min(int4 a, int4 b) { + return make_int4(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z), min(a.w, b.w)); } -inline __host__ __device__ uint2 min(uint2 a, uint2 b) -{ - return make_uint2(min(a.x,b.x), min(a.y,b.y)); +inline __host__ __device__ uint2 min(uint2 a, uint2 b) { + return make_uint2(min(a.x, b.x), min(a.y, b.y)); } -inline __host__ __device__ uint3 min(uint3 a, uint3 b) -{ - return make_uint3(min(a.x,b.x), min(a.y,b.y), min(a.z,b.z)); +inline __host__ __device__ uint3 min(uint3 a, uint3 b) { + return make_uint3(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z)); } -inline __host__ __device__ uint4 min(uint4 a, uint4 b) -{ - return make_uint4(min(a.x,b.x), min(a.y,b.y), min(a.z,b.z), min(a.w,b.w)); +inline __host__ __device__ uint4 min(uint4 a, uint4 b) { + return make_uint4(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z), min(a.w, b.w)); } //////////////////////////////////////////////////////////////////////////////// // max //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 fmaxf(float2 a, float2 b) -{ - return make_float2(fmaxf(a.x,b.x), fmaxf(a.y,b.y)); +inline __host__ __device__ float2 fmaxf(float2 a, float2 b) { + return make_float2(fmaxf(a.x, b.x), fmaxf(a.y, b.y)); } -inline __host__ __device__ float3 fmaxf(float3 a, float3 b) -{ - return make_float3(fmaxf(a.x,b.x), fmaxf(a.y,b.y), fmaxf(a.z,b.z)); +inline __host__ __device__ float3 fmaxf(float3 a, float3 b) { + return make_float3(fmaxf(a.x, b.x), fmaxf(a.y, b.y), fmaxf(a.z, b.z)); } -inline __host__ __device__ float4 fmaxf(float4 a, float4 b) -{ - return make_float4(fmaxf(a.x,b.x), fmaxf(a.y,b.y), fmaxf(a.z,b.z), fmaxf(a.w,b.w)); +inline __host__ __device__ float4 fmaxf(float4 a, float4 b) { + return make_float4(fmaxf(a.x, b.x), fmaxf(a.y, b.y), fmaxf(a.z, b.z), fmaxf(a.w, b.w)); } -inline __host__ __device__ int2 max(int2 a, int2 b) -{ - return make_int2(max(a.x,b.x), max(a.y,b.y)); +inline __host__ __device__ int2 max(int2 a, int2 b) { + return make_int2(max(a.x, b.x), max(a.y, b.y)); } -inline __host__ __device__ int3 max(int3 a, int3 b) -{ - return make_int3(max(a.x,b.x), max(a.y,b.y), max(a.z,b.z)); +inline __host__ __device__ int3 max(int3 a, int3 b) { + return make_int3(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z)); } -inline __host__ __device__ int4 max(int4 a, int4 b) -{ - return make_int4(max(a.x,b.x), max(a.y,b.y), max(a.z,b.z), max(a.w,b.w)); +inline __host__ __device__ int4 max(int4 a, int4 b) { + return make_int4(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z), max(a.w, b.w)); } -inline __host__ __device__ uint2 max(uint2 a, uint2 b) -{ - return make_uint2(max(a.x,b.x), max(a.y,b.y)); +inline __host__ __device__ uint2 max(uint2 a, uint2 b) { + return make_uint2(max(a.x, b.x), max(a.y, b.y)); } -inline __host__ __device__ uint3 max(uint3 a, uint3 b) -{ - return make_uint3(max(a.x,b.x), max(a.y,b.y), max(a.z,b.z)); +inline __host__ __device__ uint3 max(uint3 a, uint3 b) { + return make_uint3(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z)); } -inline __host__ __device__ uint4 max(uint4 a, uint4 b) -{ - return make_uint4(max(a.x,b.x), max(a.y,b.y), max(a.z,b.z), max(a.w,b.w)); +inline __host__ __device__ uint4 max(uint4 a, uint4 b) { + return make_uint4(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z), max(a.w, b.w)); } //////////////////////////////////////////////////////////////////////////////// @@ -1123,21 +902,17 @@ inline __host__ __device__ uint4 max(uint4 a, uint4 b) // - linear interpolation between a and b, based on value t in [0, 1] range //////////////////////////////////////////////////////////////////////////////// -inline __device__ __host__ float lerp(float a, float b, float t) -{ - return a + t*(b-a); +inline __device__ __host__ float lerp(float a, float b, float t) { + return a + t * (b - a); } -inline __device__ __host__ float2 lerp(float2 a, float2 b, float t) -{ - return a + t*(b-a); +inline __device__ __host__ float2 lerp(float2 a, float2 b, float t) { + return a + t * (b - a); } -inline __device__ __host__ float3 lerp(float3 a, float3 b, float t) -{ - return a + t*(b-a); +inline __device__ __host__ float3 lerp(float3 a, float3 b, float t) { + return a + t * (b - a); } -inline __device__ __host__ float4 lerp(float4 a, float4 b, float t) -{ - return a + t*(b-a); +inline __device__ __host__ float4 lerp(float4 a, float4 b, float t) { + return a + t * (b - a); } //////////////////////////////////////////////////////////////////////////////// @@ -1145,91 +920,70 @@ inline __device__ __host__ float4 lerp(float4 a, float4 b, float t) // - clamp the value v to be in the range [a, b] //////////////////////////////////////////////////////////////////////////////// -inline __device__ __host__ float clamp(float f, float a, float b) -{ +inline __device__ __host__ float clamp(float f, float a, float b) { return fmaxf(a, fminf(f, b)); } -inline __device__ __host__ int clamp(int f, int a, int b) -{ +inline __device__ __host__ int clamp(int f, int a, int b) { return max(a, min(f, b)); } -inline __device__ __host__ uint clamp(uint f, uint a, uint b) -{ +inline __device__ __host__ uint clamp(uint f, uint a, uint b) { return max(a, min(f, b)); } -inline __device__ __host__ float2 clamp(float2 v, float a, float b) -{ +inline __device__ __host__ float2 clamp(float2 v, float a, float b) { return make_float2(clamp(v.x, a, b), clamp(v.y, a, b)); } -inline __device__ __host__ float2 clamp(float2 v, float2 a, float2 b) -{ +inline __device__ __host__ float2 clamp(float2 v, float2 a, float2 b) { return make_float2(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y)); } -inline __device__ __host__ float3 clamp(float3 v, float a, float b) -{ +inline __device__ __host__ float3 clamp(float3 v, float a, float b) { return make_float3(clamp(v.x, a, b), clamp(v.y, a, b), clamp(v.z, a, b)); } -inline __device__ __host__ float3 clamp(float3 v, float3 a, float3 b) -{ +inline __device__ __host__ float3 clamp(float3 v, float3 a, float3 b) { return make_float3(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y), clamp(v.z, a.z, b.z)); } -inline __device__ __host__ float4 clamp(float4 v, float a, float b) -{ +inline __device__ __host__ float4 clamp(float4 v, float a, float b) { return make_float4(clamp(v.x, a, b), clamp(v.y, a, b), clamp(v.z, a, b), clamp(v.w, a, b)); } -inline __device__ __host__ float4 clamp(float4 v, float4 a, float4 b) -{ +inline __device__ __host__ float4 clamp(float4 v, float4 a, float4 b) { return make_float4(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y), clamp(v.z, a.z, b.z), clamp(v.w, a.w, b.w)); } -inline __device__ __host__ int2 clamp(int2 v, int a, int b) -{ +inline __device__ __host__ int2 clamp(int2 v, int a, int b) { return make_int2(clamp(v.x, a, b), clamp(v.y, a, b)); } -inline __device__ __host__ int2 clamp(int2 v, int2 a, int2 b) -{ +inline __device__ __host__ int2 clamp(int2 v, int2 a, int2 b) { return make_int2(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y)); } -inline __device__ __host__ int3 clamp(int3 v, int a, int b) -{ +inline __device__ __host__ int3 clamp(int3 v, int a, int b) { return make_int3(clamp(v.x, a, b), clamp(v.y, a, b), clamp(v.z, a, b)); } -inline __device__ __host__ int3 clamp(int3 v, int3 a, int3 b) -{ +inline __device__ __host__ int3 clamp(int3 v, int3 a, int3 b) { return make_int3(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y), clamp(v.z, a.z, b.z)); } -inline __device__ __host__ int4 clamp(int4 v, int a, int b) -{ +inline __device__ __host__ int4 clamp(int4 v, int a, int b) { return make_int4(clamp(v.x, a, b), clamp(v.y, a, b), clamp(v.z, a, b), clamp(v.w, a, b)); } -inline __device__ __host__ int4 clamp(int4 v, int4 a, int4 b) -{ +inline __device__ __host__ int4 clamp(int4 v, int4 a, int4 b) { return make_int4(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y), clamp(v.z, a.z, b.z), clamp(v.w, a.w, b.w)); } -inline __device__ __host__ uint2 clamp(uint2 v, uint a, uint b) -{ +inline __device__ __host__ uint2 clamp(uint2 v, uint a, uint b) { return make_uint2(clamp(v.x, a, b), clamp(v.y, a, b)); } -inline __device__ __host__ uint2 clamp(uint2 v, uint2 a, uint2 b) -{ +inline __device__ __host__ uint2 clamp(uint2 v, uint2 a, uint2 b) { return make_uint2(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y)); } -inline __device__ __host__ uint3 clamp(uint3 v, uint a, uint b) -{ +inline __device__ __host__ uint3 clamp(uint3 v, uint a, uint b) { return make_uint3(clamp(v.x, a, b), clamp(v.y, a, b), clamp(v.z, a, b)); } -inline __device__ __host__ uint3 clamp(uint3 v, uint3 a, uint3 b) -{ +inline __device__ __host__ uint3 clamp(uint3 v, uint3 a, uint3 b) { return make_uint3(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y), clamp(v.z, a.z, b.z)); } -inline __device__ __host__ uint4 clamp(uint4 v, uint a, uint b) -{ +inline __device__ __host__ uint4 clamp(uint4 v, uint a, uint b) { return make_uint4(clamp(v.x, a, b), clamp(v.y, a, b), clamp(v.z, a, b), clamp(v.w, a, b)); } -inline __device__ __host__ uint4 clamp(uint4 v, uint4 a, uint4 b) -{ +inline __device__ __host__ uint4 clamp(uint4 v, uint4 a, uint4 b) { return make_uint4(clamp(v.x, a.x, b.x), clamp(v.y, a.y, b.y), clamp(v.z, a.z, b.z), clamp(v.w, a.w, b.w)); } @@ -1237,42 +991,33 @@ inline __device__ __host__ uint4 clamp(uint4 v, uint4 a, uint4 b) // dot product //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float dot(float2 a, float2 b) -{ +inline __host__ __device__ float dot(float2 a, float2 b) { return a.x * b.x + a.y * b.y; } -inline __host__ __device__ float dot(float3 a, float3 b) -{ +inline __host__ __device__ float dot(float3 a, float3 b) { return a.x * b.x + a.y * b.y + a.z * b.z; } -inline __host__ __device__ float dot(float4 a, float4 b) -{ +inline __host__ __device__ float dot(float4 a, float4 b) { return a.x * b.x + a.y * b.y + a.z * b.z + a.w * b.w; } -inline __host__ __device__ int dot(int2 a, int2 b) -{ +inline __host__ __device__ int dot(int2 a, int2 b) { return a.x * b.x + a.y * b.y; } -inline __host__ __device__ int dot(int3 a, int3 b) -{ +inline __host__ __device__ int dot(int3 a, int3 b) { return a.x * b.x + a.y * b.y + a.z * b.z; } -inline __host__ __device__ int dot(int4 a, int4 b) -{ +inline __host__ __device__ int dot(int4 a, int4 b) { return a.x * b.x + a.y * b.y + a.z * b.z + a.w * b.w; } -inline __host__ __device__ uint dot(uint2 a, uint2 b) -{ +inline __host__ __device__ uint dot(uint2 a, uint2 b) { return a.x * b.x + a.y * b.y; } -inline __host__ __device__ uint dot(uint3 a, uint3 b) -{ +inline __host__ __device__ uint dot(uint3 a, uint3 b) { return a.x * b.x + a.y * b.y + a.z * b.z; } -inline __host__ __device__ uint dot(uint4 a, uint4 b) -{ +inline __host__ __device__ uint dot(uint4 a, uint4 b) { return a.x * b.x + a.y * b.y + a.z * b.z + a.w * b.w; } @@ -1280,16 +1025,13 @@ inline __host__ __device__ uint dot(uint4 a, uint4 b) // length //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float length(float2 v) -{ +inline __host__ __device__ float length(float2 v) { return sqrtf(dot(v, v)); } -inline __host__ __device__ float length(float3 v) -{ +inline __host__ __device__ float length(float3 v) { return sqrtf(dot(v, v)); } -inline __host__ __device__ float length(float4 v) -{ +inline __host__ __device__ float length(float4 v) { return sqrtf(dot(v, v)); } @@ -1297,18 +1039,15 @@ inline __host__ __device__ float length(float4 v) // normalize //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 normalize(float2 v) -{ +inline __host__ __device__ float2 normalize(float2 v) { float invLen = rsqrtf(dot(v, v)); return v * invLen; } -inline __host__ __device__ float3 normalize(float3 v) -{ +inline __host__ __device__ float3 normalize(float3 v) { float invLen = rsqrtf(dot(v, v)); return v * invLen; } -inline __host__ __device__ float4 normalize(float4 v) -{ +inline __host__ __device__ float4 normalize(float4 v) { float invLen = rsqrtf(dot(v, v)); return v * invLen; } @@ -1317,16 +1056,13 @@ inline __host__ __device__ float4 normalize(float4 v) // floor //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 floorf(float2 v) -{ +inline __host__ __device__ float2 floorf(float2 v) { return make_float2(floorf(v.x), floorf(v.y)); } -inline __host__ __device__ float3 floorf(float3 v) -{ +inline __host__ __device__ float3 floorf(float3 v) { return make_float3(floorf(v.x), floorf(v.y), floorf(v.z)); } -inline __host__ __device__ float4 floorf(float4 v) -{ +inline __host__ __device__ float4 floorf(float4 v) { return make_float4(floorf(v.x), floorf(v.y), floorf(v.z), floorf(v.w)); } @@ -1334,20 +1070,16 @@ inline __host__ __device__ float4 floorf(float4 v) // frac - returns the fractional portion of a scalar or each vector component //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float fracf(float v) -{ +inline __host__ __device__ float fracf(float v) { return v - floorf(v); } -inline __host__ __device__ float2 fracf(float2 v) -{ +inline __host__ __device__ float2 fracf(float2 v) { return make_float2(fracf(v.x), fracf(v.y)); } -inline __host__ __device__ float3 fracf(float3 v) -{ +inline __host__ __device__ float3 fracf(float3 v) { return make_float3(fracf(v.x), fracf(v.y), fracf(v.z)); } -inline __host__ __device__ float4 fracf(float4 v) -{ +inline __host__ __device__ float4 fracf(float4 v) { return make_float4(fracf(v.x), fracf(v.y), fracf(v.z), fracf(v.w)); } @@ -1355,16 +1087,13 @@ inline __host__ __device__ float4 fracf(float4 v) // fmod //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 fmodf(float2 a, float2 b) -{ +inline __host__ __device__ float2 fmodf(float2 a, float2 b) { return make_float2(fmodf(a.x, b.x), fmodf(a.y, b.y)); } -inline __host__ __device__ float3 fmodf(float3 a, float3 b) -{ +inline __host__ __device__ float3 fmodf(float3 a, float3 b) { return make_float3(fmodf(a.x, b.x), fmodf(a.y, b.y), fmodf(a.z, b.z)); } -inline __host__ __device__ float4 fmodf(float4 a, float4 b) -{ +inline __host__ __device__ float4 fmodf(float4 a, float4 b) { return make_float4(fmodf(a.x, b.x), fmodf(a.y, b.y), fmodf(a.z, b.z), fmodf(a.w, b.w)); } @@ -1372,29 +1101,23 @@ inline __host__ __device__ float4 fmodf(float4 a, float4 b) // absolute value //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float2 fabs(float2 v) -{ +inline __host__ __device__ float2 fabs(float2 v) { return make_float2(fabs(v.x), fabs(v.y)); } -inline __host__ __device__ float3 fabs(float3 v) -{ +inline __host__ __device__ float3 fabs(float3 v) { return make_float3(fabs(v.x), fabs(v.y), fabs(v.z)); } -inline __host__ __device__ float4 fabs(float4 v) -{ +inline __host__ __device__ float4 fabs(float4 v) { return make_float4(fabs(v.x), fabs(v.y), fabs(v.z), fabs(v.w)); } -inline __host__ __device__ int2 abs(int2 v) -{ +inline __host__ __device__ int2 abs(int2 v) { return make_int2(abs(v.x), abs(v.y)); } -inline __host__ __device__ int3 abs(int3 v) -{ +inline __host__ __device__ int3 abs(int3 v) { return make_int3(abs(v.x), abs(v.y), abs(v.z)); } -inline __host__ __device__ int4 abs(int4 v) -{ +inline __host__ __device__ int4 abs(int4 v) { return make_int4(abs(v.x), abs(v.y), abs(v.z), abs(v.w)); } @@ -1404,18 +1127,16 @@ inline __host__ __device__ int4 abs(int4 v) // - N should be normalized, reflected vector's length is equal to length of I //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float3 reflect(float3 i, float3 n) -{ - return i - 2.0f * n * dot(n,i); +inline __host__ __device__ float3 reflect(float3 i, float3 n) { + return i - 2.0f * n * dot(n, i); } //////////////////////////////////////////////////////////////////////////////// // cross product //////////////////////////////////////////////////////////////////////////////// -inline __host__ __device__ float3 cross(float3 a, float3 b) -{ - return make_float3(a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x); +inline __host__ __device__ float3 cross(float3 a, float3 b) { + return make_float3(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x); } //////////////////////////////////////////////////////////////////////////////// @@ -1425,25 +1146,21 @@ inline __host__ __device__ float3 cross(float3 a, float3 b) // - otherwise returns smooth interpolation between 0 and 1 based on x //////////////////////////////////////////////////////////////////////////////// -inline __device__ __host__ float smoothstep(float a, float b, float x) -{ +inline __device__ __host__ float smoothstep(float a, float b, float x) { float y = clamp((x - a) / (b - a), 0.0f, 1.0f); - return (y*y*(3.0f - (2.0f*y))); + return (y * y * (3.0f - (2.0f * y))); } -inline __device__ __host__ float2 smoothstep(float2 a, float2 b, float2 x) -{ +inline __device__ __host__ float2 smoothstep(float2 a, float2 b, float2 x) { float2 y = clamp((x - a) / (b - a), 0.0f, 1.0f); - return (y*y*(make_float2(3.0f) - (make_float2(2.0f)*y))); + return (y * y * (make_float2(3.0f) - (make_float2(2.0f) * y))); } -inline __device__ __host__ float3 smoothstep(float3 a, float3 b, float3 x) -{ +inline __device__ __host__ float3 smoothstep(float3 a, float3 b, float3 x) { float3 y = clamp((x - a) / (b - a), 0.0f, 1.0f); - return (y*y*(make_float3(3.0f) - (make_float3(2.0f)*y))); + return (y * y * (make_float3(3.0f) - (make_float3(2.0f) * y))); } -inline __device__ __host__ float4 smoothstep(float4 a, float4 b, float4 x) -{ +inline __device__ __host__ float4 smoothstep(float4 a, float4 b, float4 x) { float4 y = clamp((x - a) / (b - a), 0.0f, 1.0f); - return (y*y*(make_float4(3.0f) - (make_float4(2.0f)*y))); + return (y * y * (make_float4(3.0f) - (make_float4(2.0f) * y))); } #endif diff --git a/cxx/macros.h b/cxx/macros.h index a2faf89..984c16e 100644 --- a/cxx/macros.h +++ b/cxx/macros.h @@ -9,38 +9,36 @@ #include -#define CHECK_CUDA(x) \ - do { \ - TORCH_CHECK(vol.type().is_cuda(), #x " must be a CUDA tensor"); \ - } while(0) +#define CHECK_CUDA(x) \ + do { \ + TORCH_CHECK(vol.type().is_cuda(), #x " must be a CUDA tensor"); \ + } while (0) #define CHECK_CPU(x) \ do { \ TORCH_CHECK(x.device() == torch::kCPU, #x " must be a CPU tensor"); \ - } while(0) - -#define CHECK_CONTIGUOUS(x) \ - do { \ - TORCH_CHECK(x.is_contiguous(), #x " must be contiguous"); \ - } while(0) - -#define CHECK_IS_INT(x) \ - do { \ - TORCH_CHECK(x.scalar_type() == at::ScalarType::Int, \ - #x " must be an int tensor"); \ - } while(0) - -#define CHECK_IS_FLOAT(x) \ - do { \ - TORCH_CHECK(x.scalar_type() == at::ScalarType::Float, \ - #x " must be a float tensor"); \ - } while(0) - -#define CHECK_N_DIM(x, n) \ - do { \ - char msg[256]; \ - sprintf(msg, "%s must be %d-dimension", #x, n); \ - TORCH_CHECK(x.sizes().size() == n, msg); \ - } while(0) + } while (0) + +#define CHECK_CONTIGUOUS(x) \ + do { \ + TORCH_CHECK(x.is_contiguous(), #x " must be contiguous"); \ + } while (0) + +#define CHECK_IS_INT(x) \ + do { \ + TORCH_CHECK(x.scalar_type() == at::ScalarType::Int, #x " must be an int tensor"); \ + } while (0) + +#define CHECK_IS_FLOAT(x) \ + do { \ + TORCH_CHECK(x.scalar_type() == at::ScalarType::Float, #x " must be a float tensor"); \ + } while (0) + +#define CHECK_N_DIM(x, n) \ + do { \ + char msg[256]; \ + sprintf(msg, "%s must be %d-dimension", #x, n); \ + TORCH_CHECK(x.sizes().size() == n, msg); \ + } while (0) #endif // _MACROS_H_ diff --git a/cxx/mcubes_cpu.cpp b/cxx/mcubes_cpu.cpp index 14377d2..bb2238f 100644 --- a/cxx/mcubes_cpu.cpp +++ b/cxx/mcubes_cpu.cpp @@ -15,10 +15,20 @@ #include "macros.h" struct XYZ { - explicit XYZ(float x = 0.0f, float y = 0.0f, float z = 0.0f) : x(x), y(y), z(z) {} - bool operator==(const XYZ &xyz) const { return x == xyz.x && y == xyz.y && z == xyz.z; } - XYZ operator+(const XYZ &xyz) const { return XYZ(x + xyz.x, y + xyz.y, z + xyz.z); } - XYZ operator*(float s) const { return XYZ(x * s, y * s, z * s); } + explicit XYZ(float x = 0.0f, float y = 0.0f, float z = 0.0f) + : x(x) + , y(y) + , z(z) { + } + bool operator==(const XYZ &xyz) const { + return x == xyz.x && y == xyz.y && z == xyz.z; + } + XYZ operator+(const XYZ &xyz) const { + return XYZ(x + xyz.x, y + xyz.y, z + xyz.z); + } + XYZ operator*(float s) const { + return XYZ(x * s, y * s, z * s); + } float x, y, z; }; @@ -44,38 +54,34 @@ struct hash { } // namespace std struct TRIANGLE { - XYZ p[3]; + XYZ p[3]; }; struct GRIDCELL { - XYZ p[8]; - float val[8]; + XYZ p[8]; + float val[8]; }; /* - Linearly interpolate the position where an isosurface cuts - an edge between two vertices, each with their own scalar value -*/ -XYZ VertexInterp(float isolevel, XYZ p1, XYZ p2, float valp1, float valp2) -{ - float mu; - XYZ p; + * Linearly interpolate the position where an isosurface cuts + * an edge between two vertices, each with their own scalar value + */ +XYZ VertexInterp(float isolevel, XYZ p1, XYZ p2, float valp1, float valp2) { + float mu; + XYZ p; - if (std::abs(isolevel-valp1) < 0.00001) - return(p1); + if (std::abs(isolevel - valp1) < 0.00001) return (p1); - if (std::abs(isolevel-valp2) < 0.00001) - return(p2); + if (std::abs(isolevel - valp2) < 0.00001) return (p2); - if (std::abs(valp1-valp2) < 0.00001) - return(p1); + if (std::abs(valp1 - valp2) < 0.00001) return (p1); - mu = (isolevel - valp1) / (valp2 - valp1); - p.x = p1.x + mu * (p2.x - p1.x); - p.y = p1.y + mu * (p2.y - p1.y); - p.z = p1.z + mu * (p2.z - p1.z); + mu = (isolevel - valp1) / (valp2 - valp1); + p.x = p1.x + mu * (p2.x - p1.x); + p.y = p1.y + mu * (p2.y - p1.y); + p.z = p1.z + mu * (p2.z - p1.z); - return p; + return p; } /* @@ -86,391 +92,346 @@ XYZ VertexInterp(float isolevel, XYZ p1, XYZ p2, float valp1, float valp2) 0 will be returned if the grid cell is either totally above of totally below the isolevel. */ -int Polygonise(GRIDCELL grid, float isolevel, TRIANGLE *triangles) -{ - int i,ntriang; - int cubeindex; - XYZ vertlist[12]; - - static int edgeTable[256]={ - 0x0 , 0x109, 0x203, 0x30a, 0x406, 0x50f, 0x605, 0x70c, - 0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00, - 0x190, 0x99 , 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, - 0x99c, 0x895, 0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90, - 0x230, 0x339, 0x33 , 0x13a, 0x636, 0x73f, 0x435, 0x53c, - 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33, 0xc39, 0xd30, - 0x3a0, 0x2a9, 0x1a3, 0xaa , 0x7a6, 0x6af, 0x5a5, 0x4ac, - 0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0, - 0x460, 0x569, 0x663, 0x76a, 0x66 , 0x16f, 0x265, 0x36c, - 0xc6c, 0xd65, 0xe6f, 0xf66, 0x86a, 0x963, 0xa69, 0xb60, - 0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0xff , 0x3f5, 0x2fc, - 0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0, - 0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x55 , 0x15c, - 0xe5c, 0xf55, 0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950, - 0x7c0, 0x6c9, 0x5c3, 0x4ca, 0x3c6, 0x2cf, 0x1c5, 0xcc , - 0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3, 0x9c9, 0x8c0, - 0x8c0, 0x9c9, 0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc, - 0xcc , 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9, 0x7c0, - 0x950, 0x859, 0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c, - 0x15c, 0x55 , 0x35f, 0x256, 0x55a, 0x453, 0x759, 0x650, - 0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff, 0xcf5, 0xdfc, - 0x2fc, 0x3f5, 0xff , 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0, - 0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f, 0xd65, 0xc6c, - 0x36c, 0x265, 0x16f, 0x66 , 0x76a, 0x663, 0x569, 0x460, - 0xca0, 0xda9, 0xea3, 0xfaa, 0x8a6, 0x9af, 0xaa5, 0xbac, - 0x4ac, 0x5a5, 0x6af, 0x7a6, 0xaa , 0x1a3, 0x2a9, 0x3a0, - 0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c, - 0x53c, 0x435, 0x73f, 0x636, 0x13a, 0x33 , 0x339, 0x230, - 0xe90, 0xf99, 0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c, - 0x69c, 0x795, 0x49f, 0x596, 0x29a, 0x393, 0x99 , 0x190, - 0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f, 0x905, 0x80c, - 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x0 - }; - - static int triTable[256][16] ={ - {-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {9, 2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {2, 8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1}, - {3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1}, - {3, 10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1}, - {3, 9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1}, - {9, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 1, 9, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 1, 9, 4, 7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 10, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {3, 4, 7, 3, 0, 4, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1}, - {9, 2, 10, 9, 0, 2, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1}, - {2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, -1, -1, -1, -1}, - {8, 4, 7, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {11, 4, 7, 11, 2, 4, 2, 0, 4, -1, -1, -1, -1, -1, -1, -1}, - {9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1}, - {4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, -1, -1, -1, -1}, - {3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1, -1, -1, -1, -1}, - {1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1, -1, -1, -1}, - {4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1, -1, -1}, - {4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1, -1, -1}, - {9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1}, - {5, 2, 10, 5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1}, - {2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1}, - {9, 5, 4, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 11, 2, 0, 8, 11, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1}, - {0, 5, 4, 0, 1, 5, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1}, - {2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, -1, -1, -1, -1}, - {10, 3, 11, 10, 1, 3, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1}, - {4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, -1, -1, -1, -1}, - {5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, -1, -1, -1, -1}, - {5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1}, - {9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1, -1, -1, -1}, - {0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1, -1, -1}, - {1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1, -1}, - {10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1}, - {8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1}, - {2, 10, 5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1}, - {7, 9, 5, 7, 8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1}, - {9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1}, - {2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, -1, -1, -1, -1}, - {11, 2, 1, 11, 1, 7, 7, 1, 5, -1, -1, -1, -1, -1, -1, -1}, - {9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, -1, -1, -1, -1}, - {5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, -1}, - {11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, -1}, - {11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1}, - {1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1, -1}, - {9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1}, - {5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1}, - {2, 3, 11, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {11, 0, 8, 11, 2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1}, - {0, 1, 9, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1}, - {5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, -1, -1, -1, -1}, - {6, 3, 11, 6, 5, 3, 5, 1, 3, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, -1, -1, -1, -1}, - {3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, -1, -1, -1, -1}, - {6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1, -1, -1, -1, -1}, - {5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1, -1, -1, -1}, - {1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1}, - {10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1}, - {6, 1, 2, 6, 5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, -1, -1, -1, -1}, - {8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, -1, -1, -1, -1}, - {7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, -1}, - {3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1}, - {5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1, -1, -1}, - {0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1}, - {9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1}, - {8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, -1, -1, -1, -1}, - {5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, -1}, - {0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, -1}, - {6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1, -1, -1, -1}, - {10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1}, - {10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1, -1}, - {8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1}, - {1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1}, - {3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1}, - {0, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {8, 3, 2, 8, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1}, - {10, 4, 9, 10, 6, 4, 11, 2, 3, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, -1, -1, -1, -1}, - {3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, -1, -1, -1, -1}, - {6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, -1}, - {9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1, -1, -1}, - {8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1}, - {3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1}, - {6, 4, 8, 11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {7, 10, 6, 7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1}, - {0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1}, - {10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1}, - {10, 6, 7, 10, 7, 1, 1, 7, 3, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, -1, -1, -1, -1}, - {2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, -1}, - {7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1, -1, -1}, - {7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1, -1}, - {2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1}, - {1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1}, - {11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1}, - {8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1}, - {0, 9, 1, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, -1, -1, -1, -1}, - {7, 11, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {3, 0, 8, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 1, 9, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {8, 1, 9, 8, 3, 1, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1}, - {10, 1, 2, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 10, 3, 0, 8, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1}, - {2, 9, 0, 2, 10, 9, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1}, - {6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, -1, -1, -1, -1}, - {7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1, -1, -1, -1}, - {2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1}, - {1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1}, - {10, 7, 6, 10, 1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1}, - {10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1}, - {0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, -1, -1, -1, -1}, - {7, 6, 10, 7, 10, 8, 8, 10, 9, -1, -1, -1, -1, -1, -1, -1}, - {6, 8, 4, 11, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {3, 6, 11, 3, 0, 6, 0, 4, 6, -1, -1, -1, -1, -1, -1, -1}, - {8, 6, 11, 8, 4, 6, 9, 0, 1, -1, -1, -1, -1, -1, -1, -1}, - {9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, -1, -1, -1, -1}, - {6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1, -1, -1}, - {4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1, -1}, - {10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1}, - {8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1}, - {0, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1}, - {1, 9, 4, 1, 4, 2, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1}, - {8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, -1, -1, -1, -1}, - {10, 1, 0, 10, 0, 6, 6, 0, 4, -1, -1, -1, -1, -1, -1, -1}, - {4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, -1}, - {10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1}, - {5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1}, - {11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1, -1}, - {9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1}, - {6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1}, - {7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1}, - {3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, -1}, - {7, 2, 3, 7, 6, 2, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1}, - {9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, -1, -1, -1, -1}, - {3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1, -1, -1}, - {6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1}, - {9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1}, - {1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1}, - {4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1}, - {7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, -1, -1, -1, -1}, - {6, 9, 5, 6, 11, 9, 11, 8, 9, -1, -1, -1, -1, -1, -1, -1}, - {3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, -1, -1, -1, -1}, - {0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, -1, -1, -1, -1}, - {6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1, -1, -1, -1}, - {0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, -1}, - {11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1}, - {6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1}, - {5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1}, - {9, 5, 6, 9, 6, 0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1}, - {1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, -1}, - {1, 5, 6, 2, 1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, -1}, - {10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1, -1, -1, -1}, - {0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1, -1, -1, -1, -1}, - {5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1}, - {10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1, -1, -1, -1}, - {11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1}, - {9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1}, - {7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, -1}, - {2, 5, 10, 2, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1}, - {8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, -1, -1, -1, -1}, - {9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, -1, -1, -1, -1}, - {9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, -1}, - {1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1}, - {9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1}, - {9, 8, 7, 5, 9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {5, 8, 4, 5, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1}, - {5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1}, - {0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1}, - {10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1}, - {2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, -1, -1, -1, -1}, - {0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, -1}, - {0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, -1}, - {9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1, -1}, - {5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1}, - {3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1}, - {5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, -1, -1, -1, -1}, - {8, 4, 5, 8, 5, 3, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1}, - {0, 4, 5, 1, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, -1, -1, -1, -1}, - {9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1, -1, -1, -1, -1, -1}, - {0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, -1, -1, -1, -1}, - {1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1, -1, -1, -1}, - {3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, -1}, - {4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1}, - {9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1}, - {11, 7, 4, 11, 4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1}, - {11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1}, - {2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, -1, -1, -1, -1}, - {9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, -1}, - {3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, -1}, - {1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1, -1, -1, -1}, - {4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1, -1}, - {4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {4, 8, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {9, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {3, 0, 9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1}, - {0, 1, 10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1}, - {3, 1, 10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 2, 11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1}, - {3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1}, - {0, 2, 11, 8, 0, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {3, 2, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {2, 3, 8, 2, 8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1}, - {9, 10, 2, 0, 9, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1}, - {1, 10, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {1, 3, 8, 9, 1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 9, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {0, 3, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, - {-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1} +int Polygonise(GRIDCELL grid, float isolevel, TRIANGLE *triangles) { + int i, ntriang; + int cubeindex; + XYZ vertlist[12]; + + static int edgeTable[256] = { + 0x0, 0x109, 0x203, 0x30a, 0x406, 0x50f, 0x605, 0x70c, 0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00, + 0x190, 0x99, 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, 0x99c, 0x895, 0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90, + 0x230, 0x339, 0x33, 0x13a, 0x636, 0x73f, 0x435, 0x53c, 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33, 0xc39, 0xd30, + 0x3a0, 0x2a9, 0x1a3, 0xaa, 0x7a6, 0x6af, 0x5a5, 0x4ac, 0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0, + 0x460, 0x569, 0x663, 0x76a, 0x66, 0x16f, 0x265, 0x36c, 0xc6c, 0xd65, 0xe6f, 0xf66, 0x86a, 0x963, 0xa69, 0xb60, + 0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0xff, 0x3f5, 0x2fc, 0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0, + 0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x55, 0x15c, 0xe5c, 0xf55, 0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950, + 0x7c0, 0x6c9, 0x5c3, 0x4ca, 0x3c6, 0x2cf, 0x1c5, 0xcc, 0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3, 0x9c9, 0x8c0, + 0x8c0, 0x9c9, 0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc, 0xcc, 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9, 0x7c0, + 0x950, 0x859, 0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c, 0x15c, 0x55, 0x35f, 0x256, 0x55a, 0x453, 0x759, 0x650, + 0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff, 0xcf5, 0xdfc, 0x2fc, 0x3f5, 0xff, 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0, + 0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f, 0xd65, 0xc6c, 0x36c, 0x265, 0x16f, 0x66, 0x76a, 0x663, 0x569, 0x460, + 0xca0, 0xda9, 0xea3, 0xfaa, 0x8a6, 0x9af, 0xaa5, 0xbac, 0x4ac, 0x5a5, 0x6af, 0x7a6, 0xaa, 0x1a3, 0x2a9, 0x3a0, + 0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c, 0x53c, 0x435, 0x73f, 0x636, 0x13a, 0x33, 0x339, 0x230, + 0xe90, 0xf99, 0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c, 0x69c, 0x795, 0x49f, 0x596, 0x29a, 0x393, 0x99, 0x190, + 0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f, 0x905, 0x80c, 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x0 }; - /* + static int triTable[256][16] = { { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 1, 9, 4, 7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 4, 7, 3, 0, 4, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 2, 10, 9, 0, 2, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, + { 8, 4, 7, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 4, 7, 11, 2, 4, 2, 0, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, -1, -1, -1, -1 }, + { 3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1, -1, -1, -1 }, + { 4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1, -1, -1 }, + { 4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 2, 10, 5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1 }, + { 9, 5, 4, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 11, 2, 0, 8, 11, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 5, 4, 0, 1, 5, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, -1, -1, -1, -1 }, + { 10, 3, 11, 10, 1, 3, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, -1, -1, -1, -1 }, + { 5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, -1, -1, -1, -1 }, + { 5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1 }, + { 8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1 }, + { 2, 10, 5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 9, 5, 7, 8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, + { 2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, -1, -1, -1, -1 }, + { 11, 2, 1, 11, 1, 7, 7, 1, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, -1, -1, -1, -1 }, + { 5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, -1 }, + { 11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, -1 }, + { 11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1 }, + { 2, 3, 11, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 0, 8, 11, 2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, -1, -1, -1, -1 }, + { 6, 3, 11, 6, 5, 3, 5, 1, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, -1, -1, -1, -1 }, + { 3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, -1, -1, -1, -1 }, + { 6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, + { 6, 1, 2, 6, 5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, -1, -1, -1, -1 }, + { 8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, -1, -1, -1, -1 }, + { 7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, -1 }, + { 3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, + { 0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1 }, + { 9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1 }, + { 8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, -1, -1, -1, -1 }, + { 5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, -1 }, + { 0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, -1 }, + { 6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1, -1, -1, -1 }, + { 10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1 }, + { 1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1 }, + { 0, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 3, 2, 8, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 4, 9, 10, 6, 4, 11, 2, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, -1, -1, -1, -1 }, + { 3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, -1, -1, -1, -1 }, + { 6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, -1 }, + { 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1, -1, -1 }, + { 8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1 }, + { 3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 4, 8, 11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 10, 6, 7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1 }, + { 10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1 }, + { 10, 6, 7, 10, 7, 1, 1, 7, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, -1, -1, -1, -1 }, + { 2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, -1 }, + { 7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1, -1 }, + { 2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1 }, + { 1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1 }, + { 11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1 }, + { 8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1 }, + { 0, 9, 1, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, -1, -1, -1, -1 }, + { 7, 11, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 8, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 1, 9, 8, 3, 1, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 1, 2, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 3, 0, 8, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 9, 0, 2, 10, 9, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, -1, -1, -1, -1 }, + { 7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1 }, + { 10, 7, 6, 10, 1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1 }, + { 0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, -1, -1, -1, -1 }, + { 7, 6, 10, 7, 10, 8, 8, 10, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 8, 4, 11, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 6, 11, 3, 0, 6, 0, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 6, 11, 8, 4, 6, 9, 0, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, -1, -1, -1, -1 }, + { 6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1, -1, -1 }, + { 4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1, -1 }, + { 10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1 }, + { 8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1 }, + { 1, 9, 4, 1, 4, 2, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, -1, -1, -1, -1 }, + { 10, 1, 0, 10, 0, 6, 6, 0, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, -1 }, + { 10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1, -1 }, + { 9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1 }, + { 7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1 }, + { 3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, -1 }, + { 7, 2, 3, 7, 6, 2, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, -1, -1, -1, -1 }, + { 3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1, -1, -1 }, + { 6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1 }, + { 9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1 }, + { 1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1 }, + { 4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1 }, + { 7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, -1, -1, -1, -1 }, + { 6, 9, 5, 6, 11, 9, 11, 8, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, -1, -1, -1, -1 }, + { 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, -1, -1, -1, -1 }, + { 6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1, -1, -1, -1 }, + { 0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, -1 }, + { 11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1 }, + { 6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1 }, + { 5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1 }, + { 9, 5, 6, 9, 6, 0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, -1 }, + { 1, 5, 6, 2, 1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, -1 }, + { 10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1, -1, -1, -1 }, + { 0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1, -1, -1, -1 }, + { 11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1 }, + { 9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1 }, + { 7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, -1 }, + { 2, 5, 10, 2, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, -1, -1, -1, -1 }, + { 9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, -1, -1, -1, -1 }, + { 9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, -1 }, + { 1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 8, 7, 5, 9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 8, 4, 5, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1 }, + { 0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1 }, + { 10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1 }, + { 2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, -1, -1, -1, -1 }, + { 0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, -1 }, + { 0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, -1 }, + { 9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1, -1 }, + { 5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1 }, + { 5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, -1, -1, -1, -1 }, + { 8, 4, 5, 8, 5, 3, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 4, 5, 1, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, -1, -1, -1, -1 }, + { 9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, -1, -1, -1, -1 }, + { 1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1, -1, -1, -1 }, + { 3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, -1 }, + { 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1 }, + { 9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1 }, + { 11, 7, 4, 11, 4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1 }, + { 2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, -1, -1, -1, -1 }, + { 9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, -1 }, + { 3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, -1 }, + { 1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1, -1 }, + { 4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 8, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 1, 10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1 }, + { 0, 2, 11, 8, 0, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 2, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 3, 8, 2, 8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 10, 2, 0, 9, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1 }, + { 1, 10, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 3, 8, 9, 1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 9, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 3, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 } }; + + /* Determine the index into the edge table which tells us which vertices are inside of the surface */ - cubeindex = 0; - if (grid.val[0] < isolevel) cubeindex |= 1; - if (grid.val[1] < isolevel) cubeindex |= 2; - if (grid.val[2] < isolevel) cubeindex |= 4; - if (grid.val[3] < isolevel) cubeindex |= 8; - if (grid.val[4] < isolevel) cubeindex |= 16; - if (grid.val[5] < isolevel) cubeindex |= 32; - if (grid.val[6] < isolevel) cubeindex |= 64; - if (grid.val[7] < isolevel) cubeindex |= 128; - - /* Cube is entirely in/out of the surface */ - if (edgeTable[cubeindex] == 0) - return(0); - - /* Find the vertices where the surface intersects the cube */ - if (edgeTable[cubeindex] & 1) - vertlist[0] = - VertexInterp(isolevel,grid.p[0],grid.p[1],grid.val[0],grid.val[1]); - if (edgeTable[cubeindex] & 2) - vertlist[1] = - VertexInterp(isolevel,grid.p[1],grid.p[2],grid.val[1],grid.val[2]); - if (edgeTable[cubeindex] & 4) - vertlist[2] = - VertexInterp(isolevel,grid.p[2],grid.p[3],grid.val[2],grid.val[3]); - if (edgeTable[cubeindex] & 8) - vertlist[3] = - VertexInterp(isolevel,grid.p[3],grid.p[0],grid.val[3],grid.val[0]); - if (edgeTable[cubeindex] & 16) - vertlist[4] = - VertexInterp(isolevel,grid.p[4],grid.p[5],grid.val[4],grid.val[5]); - if (edgeTable[cubeindex] & 32) - vertlist[5] = - VertexInterp(isolevel,grid.p[5],grid.p[6],grid.val[5],grid.val[6]); - if (edgeTable[cubeindex] & 64) - vertlist[6] = - VertexInterp(isolevel,grid.p[6],grid.p[7],grid.val[6],grid.val[7]); - if (edgeTable[cubeindex] & 128) - vertlist[7] = - VertexInterp(isolevel,grid.p[7],grid.p[4],grid.val[7],grid.val[4]); - if (edgeTable[cubeindex] & 256) - vertlist[8] = - VertexInterp(isolevel,grid.p[0],grid.p[4],grid.val[0],grid.val[4]); - if (edgeTable[cubeindex] & 512) - vertlist[9] = - VertexInterp(isolevel,grid.p[1],grid.p[5],grid.val[1],grid.val[5]); - if (edgeTable[cubeindex] & 1024) - vertlist[10] = - VertexInterp(isolevel,grid.p[2],grid.p[6],grid.val[2],grid.val[6]); - if (edgeTable[cubeindex] & 2048) - vertlist[11] = - VertexInterp(isolevel,grid.p[3],grid.p[7],grid.val[3],grid.val[7]); - - /* Create the triangle */ - ntriang = 0; - for (i=0;triTable[cubeindex][i]!=-1;i+=3) { - triangles[ntriang].p[0] = vertlist[triTable[cubeindex][i ]]; - triangles[ntriang].p[1] = vertlist[triTable[cubeindex][i+1]]; - triangles[ntriang].p[2] = vertlist[triTable[cubeindex][i+2]]; - ntriang++; - } - - return ntriang; -} + cubeindex = 0; + if (grid.val[0] < isolevel) cubeindex |= 1; + if (grid.val[1] < isolevel) cubeindex |= 2; + if (grid.val[2] < isolevel) cubeindex |= 4; + if (grid.val[3] < isolevel) cubeindex |= 8; + if (grid.val[4] < isolevel) cubeindex |= 16; + if (grid.val[5] < isolevel) cubeindex |= 32; + if (grid.val[6] < isolevel) cubeindex |= 64; + if (grid.val[7] < isolevel) cubeindex |= 128; + + /* Cube is entirely in/out of the surface */ + if (edgeTable[cubeindex] == 0) return (0); + + /* Find the vertices where the surface intersects the cube */ + if (edgeTable[cubeindex] & 1) vertlist[0] = VertexInterp(isolevel, grid.p[0], grid.p[1], grid.val[0], grid.val[1]); + if (edgeTable[cubeindex] & 2) vertlist[1] = VertexInterp(isolevel, grid.p[1], grid.p[2], grid.val[1], grid.val[2]); + if (edgeTable[cubeindex] & 4) vertlist[2] = VertexInterp(isolevel, grid.p[2], grid.p[3], grid.val[2], grid.val[3]); + if (edgeTable[cubeindex] & 8) vertlist[3] = VertexInterp(isolevel, grid.p[3], grid.p[0], grid.val[3], grid.val[0]); + if (edgeTable[cubeindex] & 16) vertlist[4] = VertexInterp(isolevel, grid.p[4], grid.p[5], grid.val[4], grid.val[5]); + if (edgeTable[cubeindex] & 32) vertlist[5] = VertexInterp(isolevel, grid.p[5], grid.p[6], grid.val[5], grid.val[6]); + if (edgeTable[cubeindex] & 64) vertlist[6] = VertexInterp(isolevel, grid.p[6], grid.p[7], grid.val[6], grid.val[7]); + if (edgeTable[cubeindex] & 128) + vertlist[7] = VertexInterp(isolevel, grid.p[7], grid.p[4], grid.val[7], grid.val[4]); + if (edgeTable[cubeindex] & 256) + vertlist[8] = VertexInterp(isolevel, grid.p[0], grid.p[4], grid.val[0], grid.val[4]); + if (edgeTable[cubeindex] & 512) + vertlist[9] = VertexInterp(isolevel, grid.p[1], grid.p[5], grid.val[1], grid.val[5]); + if (edgeTable[cubeindex] & 1024) + vertlist[10] = VertexInterp(isolevel, grid.p[2], grid.p[6], grid.val[2], grid.val[6]); + if (edgeTable[cubeindex] & 2048) + vertlist[11] = VertexInterp(isolevel, grid.p[3], grid.p[7], grid.val[3], grid.val[7]); + + /* Create the triangle */ + ntriang = 0; + for (i = 0; triTable[cubeindex][i] != -1; i += 3) { + triangles[ntriang].p[0] = vertlist[triTable[cubeindex][i]]; + triangles[ntriang].p[1] = vertlist[triTable[cubeindex][i + 1]]; + triangles[ntriang].p[2] = vertlist[triTable[cubeindex][i + 2]]; + ntriang++; + } -void mcubes_method( - torch::TensorAccessor vol, - std::vector &vertices, - std::vector &faces, - float threshold) { + return ntriang; +} +void mcubes_method(torch::TensorAccessor vol, std::vector &vertices, std::vector &faces, + float threshold) { // Marching cubes - static int indexTable[8] = { - 0, 1, 4, 5, 3, 2, 7, 6 - }; + static int indexTable[8] = { 0, 1, 4, 5, 3, 2, 7, 6 }; // Process all cells in parallel std::vector all_vertices; - #ifdef _OPENMP - #pragma omp parallel for - #endif +#ifdef _OPENMP +#pragma omp parallel for +#endif for (int z = 0; z < vol.size(0) - 1; z++) { std::vector sub_vertices; for (int y = 0; y < vol.size(1) - 1; y++) { @@ -498,12 +459,10 @@ void mcubes_method( } } - #ifdef _OPENMP - #pragma omp critical - #endif - { - all_vertices.insert(all_vertices.end(), sub_vertices.begin(), sub_vertices.end()); - } +#ifdef _OPENMP +#pragma omp critical +#endif + { all_vertices.insert(all_vertices.end(), sub_vertices.begin(), sub_vertices.end()); } } // Unique vertices @@ -525,17 +484,12 @@ std::vector mcubes_cpu(torch::Tensor vol, float threshold) { std::vector vertices; std::vector faces; - mcubes_method( - vol.accessor(), - vertices, - faces, - threshold - ); + mcubes_method(vol.accessor(), vertices, faces, threshold); const int Nv = (int)vertices.size(); const int Nf = (int)faces.size() / 3; - auto vert_tensor = torch::zeros({Nv, 3}, at::kFloat); - auto face_tensor = torch::zeros({Nf, 3}, at::kInt); + auto vert_tensor = torch::zeros({ Nv, 3 }, at::kFloat); + auto face_tensor = torch::zeros({ Nf, 3 }, at::kInt); auto vert_accs = vert_tensor.accessor(); for (int i = 0; i < Nv; i++) { diff --git a/environment.yaml b/environment.yaml deleted file mode 100644 index 002e25e..0000000 --- a/environment.yaml +++ /dev/null @@ -1,22 +0,0 @@ -name: mcubes -channels: - - defaults - - pytorch - - open3d-admin -dependencies: - - python - - numpy - - pandas - - tqdm - - pytorch::pytorch=1.7.0 - - cudatoolkit=11.0 - - open3d-admin::open3d - - scikit-learn - - mypy - - flake8 - - yapf - - pip - - pip: - - pyyaml - - addict - - plyfile diff --git a/mcubes.py b/mcubes.py index 59e8f72..870655e 100644 --- a/mcubes.py +++ b/mcubes.py @@ -1,12 +1,106 @@ import argparse import numpy as np +import matplotlib.pyplot as plt + +# isort: off +# import open3d as o3d import torch -import open3d as o3d +# isort: on + +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.collections import PolyCollection from torchmcubes import grid_interp, marching_cubes +def frustum(left, right, bottom, top, znear, zfar): + M = np.zeros((4, 4), dtype=np.float32) + M[0, 0] = +2.0 * znear / (right - left) + M[1, 1] = +2.0 * znear / (top - bottom) + M[2, 2] = -(zfar + znear) / (zfar - znear) + M[0, 2] = (right + left) / (right - left) + M[2, 1] = (top + bottom) / (top - bottom) + M[2, 3] = -2.0 * znear * zfar / (zfar - znear) + M[3, 2] = -1.0 + return M + + +def perspective(fovy, aspect, znear, zfar): + h = np.tan(0.5 * np.radians(fovy)) * znear + w = h * aspect + return frustum(-w, w, -h, h, znear, zfar) + + +def translate(x, y, z): + return np.array( + [ + [1, 0, 0, x], + [0, 1, 0, y], + [0, 0, 1, z], + [0, 0, 0, 1], + ], + dtype=float, + ) + + +def xrotate(theta): + t = np.pi * theta / 180 + c, s = np.cos(t), np.sin(t) + return np.array([ + [1, 0, 0, 0], + [0, c, -s, 0], + [0, s, c, 0], + [0, 0, 0, 1], + ], dtype=float) + + +def yrotate(theta): + t = np.pi * theta / 180 + c, s = np.cos(t), np.sin(t) + return np.array([ + [c, 0, s, 0], + [0, 1, 0, 0], + [-s, 0, c, 0], + [0, 0, 0, 1], + ], dtype=float) + + +def visualize(V, F, C): + V = (V - (V.max(0) + V.min(0)) / 2) / max(V.max(0) - V.min(0)) + MVP = perspective(40, 1, 1, 100) @ \ + translate(0, 0, -2.5) @ \ + xrotate(0.0) @ \ + yrotate(0.0) + + V = np.c_[V, np.ones(len(V))] @ MVP.T + V /= V[:, 3].reshape(-1, 1) + V = V[F] + C = C[F].mean(axis=1) + + T = V[:, :, :2] + Z = -V[:, :, 2].mean(axis=1) + zmin, zmax = Z.min(), Z.max() + Z = (Z - zmin) / (zmax - zmin) + I = np.argsort(Z) + T, C = T[I, :], C[I, :] + fig = plt.figure(figsize=(6, 6)) + ax = fig.add_axes( + (0, 0, 1, 1), + xlim=(-1, 1), + ylim=(-1, 1), + aspect=1, + frameon=False, + ) + + collection = PolyCollection(T, closed=True, linewidth=0.1, facecolor=C, edgecolor="black") + ax.add_collection(collection) + + plt.tight_layout() + plt.show() + + def main(): # Arguments parser = argparse.ArgumentParser() @@ -17,9 +111,9 @@ def main(): N = 128 Nx, Ny, Nz = N - 8, N, N + 8 x, y, z = np.mgrid[:Nx, :Ny, :Nz] - x = (x / Nx).astype('float32') - y = (y / Ny).astype('float32') - z = (z / Nz).astype('float32') + x = (x / N).astype('float32') + y = (y / N).astype('float32') + z = (z / N).astype('float32') # Implicit function (metaball) f0 = (x - 0.35)**2 + (y - 0.35)**2 + (z - 0.35)**2 @@ -37,13 +131,7 @@ def main(): verts = verts.numpy() faces = faces.numpy() colrs = colrs.numpy() - - mesh = o3d.geometry.TriangleMesh() - mesh.vertices = o3d.utility.Vector3dVector(verts) - mesh.triangles = o3d.utility.Vector3iVector(faces) - mesh.vertex_colors = o3d.utility.Vector3dVector(colrs) - wire = o3d.geometry.LineSet.create_from_triangle_mesh(mesh) - o3d.visualization.draw_geometries([mesh, wire], window_name='Marching cubes (CPU)') + visualize(verts, faces, colrs) # Test (GPU) if torch.cuda.is_available(): @@ -56,13 +144,7 @@ def main(): verts = verts.cpu().numpy() faces = faces.cpu().numpy() colrs = colrs.cpu().numpy() - - mesh = o3d.geometry.TriangleMesh() - mesh.vertices = o3d.utility.Vector3dVector(verts) - mesh.triangles = o3d.utility.Vector3iVector(faces) - mesh.vertex_colors = o3d.utility.Vector3dVector(colrs) - wire = o3d.geometry.LineSet.create_from_triangle_mesh(mesh) - o3d.visualization.draw_geometries([mesh, wire], window_name='Marching cubes (CUDA)') + visualize(verts, faces, colrs) else: print('CUDA is not available in this environment. 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-ignore = Q000,E203,W503,W504 - -[yapf] -based_on_style = pep8 -column_limit = 120 -indent_width = 4 - -ALIGN_CLOSING_BRACKET_WITH_VISUAL_INDENT = True -COALESCE_BRACKETS = False -DEDENT_CLOSING_BRACKETS = False -DISABLE_ENDING_COMMA_HEURISTIC = False -INDENT_DICTIONARY_VALUE = True -ALLOW_SPLIT_BEFORE_DICT_VALUE = False -SPLIT_ARGUMENTS_WHEN_COMMA_TERMINATED = True diff --git a/setup.py b/setup.py deleted file mode 100644 index 2f0bb1a..0000000 --- a/setup.py +++ /dev/null @@ -1,63 +0,0 @@ -from setuptools import setup -from torch.utils.cpp_extension import BuildExtension - -setup_kwargs = { - 'name': 'torchmcubes', - 'version': '0.1.0', - 'description': 'torchmcubes: marching cubes for PyTorch', - 'license': 'MIT', - 'author': 'Tatsuya Yatagawa', - 'author_email': 'tatsy.mail@gmail.com', - 'packages': [ - 'torchmcubes' - ], - 'classifiers': [ - 'Programming Language :: Python :: 3.7', - 'Programming Language :: Python :: 3.8', - 'Programming Language :: Python :: 3.9', - ] -} - -try: - from torch.utils.cpp_extension import CUDAExtension - - setup_kwargs.update({ - 'ext_modules': [ - CUDAExtension( - 'torchmcubes_module', - [ - 'cxx/pscan.cu', - 'cxx/mcubes.cpp', - 'cxx/mcubes_cpu.cpp', - 'cxx/mcubes_cuda.cu', - 'cxx/grid_interp_cpu.cpp', - 'cxx/grid_interp_cuda.cu', - ], - extra_compile_args=['-DWITH_CUDA'], - ) - ], - 'cmdclass': { - 'build_ext': BuildExtension - } - }) - setup(**setup_kwargs) - -except: - print('CUDA environment was not successfully loaded!') - print('Build only CPU module!') - - from torch.utils.cpp_extension import CppExtension - - setup_kwargs.update({ - 'ext_modules': [ - CppExtension('torchmcubes_module', [ - 'cxx/mcubes.cpp', - 'cxx/mcubes_cpu.cpp', - 'cxx/grid_interp_cpu.cpp', - ]) - ], - 'cmdclass': { - 'build_ext': BuildExtension - } - }) - setup(**setup_kwargs)