From 80f3aff65d085613bc96874b7c730e47357be46e Mon Sep 17 00:00:00 2001 From: CJSatnarine Date: Mon, 8 Jul 2024 17:31:04 -0400 Subject: [PATCH] Implement BVH --- CMakeLists.txt | 2 + ImageGenerator.cpp | 15 +- aabb.h | 58 + ...=> codemodel-v2-f57fe542ed13663d4779.json} | 2 +- ...on => index-2024-07-08T20-14-45-0400.json} | 4 +- ...Raytracer-Debug-53e51d7b7c539400eaa2.json} | 14 +- .../Raytracer.dir/ImageGenerator.cpp.o | Bin 640296 -> 869864 bytes .../Raytracer.dir/ImageGenerator.cpp.o.d | 11 +- .../Raytracer.dir/compiler_depend.internal | 8 + .../Raytracer.dir/compiler_depend.make | 220 +- build/Raytracer | Bin 354056 -> 474832 bytes bvh.h | 76 + hittable.h | 3 + hittableList.h | 9 + image.ppm | 433144 +++------------ interval.h | 11 + rayTracer.h | 5 + sphere.h | 15 +- 18 files changed, 81908 insertions(+), 351689 deletions(-) create mode 100644 aabb.h rename build/.cmake/api/v1/reply/{codemodel-v2-3325df503f174f7a816b.json => codemodel-v2-f57fe542ed13663d4779.json} (93%) rename build/.cmake/api/v1/reply/{index-2024-07-03T21-03-49-0210.json => index-2024-07-08T20-14-45-0400.json} (94%) rename build/.cmake/api/v1/reply/{target-Raytracer-Debug-de18b889ec06b3c1ffd0.json => target-Raytracer-Debug-53e51d7b7c539400eaa2.json} (91%) create mode 100644 bvh.h diff --git a/CMakeLists.txt b/CMakeLists.txt index 0c02534..8f2a2d0 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -3,6 +3,8 @@ project(Raytracer VERSION 0.1.0 LANGUAGES C CXX) add_executable(Raytracer ImageGenerator.cpp + aabb.h + bvh.h camera.h colour.h hittable.h diff --git a/ImageGenerator.cpp b/ImageGenerator.cpp index 1f16bfd..b191072 100644 --- a/ImageGenerator.cpp +++ b/ImageGenerator.cpp @@ -1,4 +1,5 @@ #include "rayTracer.h" +#include "bvh.h" #include "camera.h" #include "hittable.h" #include "hittableList.h" @@ -9,18 +10,6 @@ int main(void) { // World. hittableList world; - // auto groundMaterial = make_shared(colour(0.1, 0.0, 0.0)); - // auto centreMaterial = make_shared(colour(0.1, 0.2, 0.5)); - // auto leftMaterial = make_shared(1.50); - // auto bubbleMaterial = make_shared(1.00 / 1.50); - // auto rightMaterial = make_shared(colour(1.0, 0.0, 0.0), 1.0); - - // world.add(make_shared(point3( 0.0, -100.5, -1.0), 100.0, groundMaterial)); - // world.add(make_shared(point3( 0.0, 0.0, -1.2), 0.5, centreMaterial)); - // world.add(make_shared(point3(-1.0, 0.0, -1.0), 0.5, leftMaterial)); - // world.add(make_shared(point3(-1.0, 0.0, -1.0), 0.4, bubbleMaterial)); - // world.add(make_shared(point3( 1.0, 0.0, -1.0), 0.5, rightMaterial)); - // Code from the book. auto ground_material = make_shared(colour(0.5, 0.5, 0.5)); world.add(make_shared(point3(0,-1000,0), 1000, ground_material)); @@ -65,6 +54,8 @@ int main(void) { auto material3 = make_shared(colour(0.7, 0.6, 0.5), 0.0); world.add(make_shared(point3(4, 1, 0), 1.0, material3)); + world = hittableList(make_shared(world)); + // Camera. camera cam; cam.aspectRatio = 16.0 / 9.0; diff --git a/aabb.h b/aabb.h new file mode 100644 index 0000000..12b887c --- /dev/null +++ b/aabb.h @@ -0,0 +1,58 @@ +#ifndef AABB_H +#define AABB_H + +#include "rayTracer.h" + +class aabb { + public: + interval x, y, z; + + aabb() {} // The default AABB is empty, since intervals are empty by default. + + aabb(const interval& x, const interval& y, const interval& z) : x(x), y(y), z(z) {} + + aabb(const point3& a, const point3& b) { + // Treat the two points a and b as extrema for the bounding box, so we don't require a particular minimum/maximum coordinate order. + x = (a[0] <= b[0]) ? interval(a[0], b[0]) : interval(b[0], a[0]); + y = (a[1] <= b[1]) ? interval(a[1], b[1]) : interval(b[1], a[1]); + z = (a[2] <= b[2]) ? interval(a[2], b[2]) : interval(b[2], a[2]); + } + + aabb(const aabb& box0, const aabb& box1) { + x = interval(box0.x, box1.x); + y = interval(box0.y, box1.y); + z = interval(box0.z, box1.z); + } + + const interval& axisInterval(int n) const { + if (n == 1) return y; + if (n == 2) return z; + return x; + } + + bool hit(const ray& r, interval rayT) const { + const point3& rayOrigin = r.origin(); + const vec3& rayDirection = r.direction(); + + for (int axis = 0; axis < 3; axis++) { + const interval& ax = axisInterval(axis); + const double adInv = 1.0 / rayDirection[axis]; + + auto t0 = (ax.min - rayOrigin[axis]) * adInv; + auto t1 = (ax.max - rayOrigin[axis]) * adInv; + + if (t0 < t1) { + if (t0 > rayT.min) rayT.min = t0; + if (t1 < rayT.max) rayT.max = t1; + } else { + if (t1 > rayT.min) rayT.min = t1; + if (t0 < rayT.max) rayT.max = t0; + } + + if (rayT.max <= rayT.min) return false; + } + return true; + } +}; + +#endif \ No newline at end of file diff --git a/build/.cmake/api/v1/reply/codemodel-v2-3325df503f174f7a816b.json b/build/.cmake/api/v1/reply/codemodel-v2-f57fe542ed13663d4779.json similarity index 93% rename from build/.cmake/api/v1/reply/codemodel-v2-3325df503f174f7a816b.json rename to build/.cmake/api/v1/reply/codemodel-v2-f57fe542ed13663d4779.json index e302954..3e87841 100644 --- a/build/.cmake/api/v1/reply/codemodel-v2-3325df503f174f7a816b.json +++ b/build/.cmake/api/v1/reply/codemodel-v2-f57fe542ed13663d4779.json @@ -39,7 +39,7 @@ { "directoryIndex" : 0, "id" : "Raytracer::@6890427a1f51a3e7e1df", - "jsonFile" : "target-Raytracer-Debug-de18b889ec06b3c1ffd0.json", + "jsonFile" : "target-Raytracer-Debug-53e51d7b7c539400eaa2.json", "name" : "Raytracer", "projectIndex" : 0 } diff --git a/build/.cmake/api/v1/reply/index-2024-07-03T21-03-49-0210.json b/build/.cmake/api/v1/reply/index-2024-07-08T20-14-45-0400.json similarity index 94% rename from build/.cmake/api/v1/reply/index-2024-07-03T21-03-49-0210.json rename to build/.cmake/api/v1/reply/index-2024-07-08T20-14-45-0400.json index e95fe80..a78740a 100644 --- a/build/.cmake/api/v1/reply/index-2024-07-03T21-03-49-0210.json +++ b/build/.cmake/api/v1/reply/index-2024-07-08T20-14-45-0400.json @@ -26,7 +26,7 @@ "objects" : [ { - "jsonFile" : "codemodel-v2-3325df503f174f7a816b.json", + "jsonFile" : "codemodel-v2-f57fe542ed13663d4779.json", "kind" : "codemodel", "version" : { @@ -99,7 +99,7 @@ } }, { - "jsonFile" : "codemodel-v2-3325df503f174f7a816b.json", + "jsonFile" : "codemodel-v2-f57fe542ed13663d4779.json", "kind" : "codemodel", "version" : { diff --git a/build/.cmake/api/v1/reply/target-Raytracer-Debug-de18b889ec06b3c1ffd0.json b/build/.cmake/api/v1/reply/target-Raytracer-Debug-53e51d7b7c539400eaa2.json similarity index 91% rename from build/.cmake/api/v1/reply/target-Raytracer-Debug-de18b889ec06b3c1ffd0.json rename to build/.cmake/api/v1/reply/target-Raytracer-Debug-53e51d7b7c539400eaa2.json index 8281244..8383aa6 100644 --- a/build/.cmake/api/v1/reply/target-Raytracer-Debug-de18b889ec06b3c1ffd0.json +++ b/build/.cmake/api/v1/reply/target-Raytracer-Debug-53e51d7b7c539400eaa2.json @@ -90,7 +90,9 @@ 7, 8, 9, - 10 + 10, + 11, + 12 ] } ], @@ -102,6 +104,16 @@ "path" : "ImageGenerator.cpp", "sourceGroupIndex" : 0 }, + { + "backtrace" : 1, + "path" : "aabb.h", + 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\ - /home/cjsatnarine/Code/Raytracer/material.h \ /home/cjsatnarine/Code/Raytracer/hittableList.h \ /usr/include/c++/13/vector /usr/include/c++/13/bits/stl_vector.h \ /usr/include/c++/13/bits/stl_bvector.h \ /usr/include/c++/13/bits/vector.tcc \ + /home/cjsatnarine/Code/Raytracer/camera.h \ + /home/cjsatnarine/Code/Raytracer/material.h \ /home/cjsatnarine/Code/Raytracer/sphere.h diff --git a/build/CMakeFiles/Raytracer.dir/compiler_depend.internal b/build/CMakeFiles/Raytracer.dir/compiler_depend.internal index eed9e21..dc4011c 100644 --- a/build/CMakeFiles/Raytracer.dir/compiler_depend.internal +++ b/build/CMakeFiles/Raytracer.dir/compiler_depend.internal @@ -3,6 +3,8 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o /home/cjsatnarine/Code/Raytracer/ImageGenerator.cpp + /home/cjsatnarine/Code/Raytracer/aabb.h + /home/cjsatnarine/Code/Raytracer/bvh.h /home/cjsatnarine/Code/Raytracer/camera.h /home/cjsatnarine/Code/Raytracer/colour.h /home/cjsatnarine/Code/Raytracer/hittable.h @@ -16,9 +18,11 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o /usr/include/alloca.h /usr/include/asm-generic/errno-base.h /usr/include/asm-generic/errno.h + /usr/include/c++/13/algorithm /usr/include/c++/13/backward/auto_ptr.h /usr/include/c++/13/backward/binders.h /usr/include/c++/13/bit + /usr/include/c++/13/bits/algorithmfwd.h /usr/include/c++/13/bits/align.h /usr/include/c++/13/bits/alloc_traits.h /usr/include/c++/13/bits/allocated_ptr.h @@ -67,10 +71,12 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o /usr/include/c++/13/bits/shared_ptr_base.h /usr/include/c++/13/bits/specfun.h /usr/include/c++/13/bits/std_abs.h + /usr/include/c++/13/bits/stl_algo.h /usr/include/c++/13/bits/stl_algobase.h /usr/include/c++/13/bits/stl_bvector.h /usr/include/c++/13/bits/stl_construct.h /usr/include/c++/13/bits/stl_function.h + /usr/include/c++/13/bits/stl_heap.h /usr/include/c++/13/bits/stl_iterator.h /usr/include/c++/13/bits/stl_iterator_base_funcs.h /usr/include/c++/13/bits/stl_iterator_base_types.h @@ -83,6 +89,7 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o /usr/include/c++/13/bits/streambuf_iterator.h /usr/include/c++/13/bits/string_view.tcc /usr/include/c++/13/bits/stringfwd.h + /usr/include/c++/13/bits/uniform_int_dist.h /usr/include/c++/13/bits/unique_ptr.h /usr/include/c++/13/bits/uses_allocator.h /usr/include/c++/13/bits/uses_allocator_args.h @@ -117,6 +124,7 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o /usr/include/c++/13/new /usr/include/c++/13/ostream /usr/include/c++/13/pstl/execution_defs.h + /usr/include/c++/13/pstl/glue_algorithm_defs.h /usr/include/c++/13/pstl/glue_memory_defs.h /usr/include/c++/13/pstl/pstl_config.h /usr/include/c++/13/stdexcept diff --git a/build/CMakeFiles/Raytracer.dir/compiler_depend.make b/build/CMakeFiles/Raytracer.dir/compiler_depend.make index c7d5cc7..3ce2030 100644 --- a/build/CMakeFiles/Raytracer.dir/compiler_depend.make +++ b/build/CMakeFiles/Raytracer.dir/compiler_depend.make @@ -2,6 +2,8 @@ # Generated by "Unix Makefiles" Generator, CMake Version 3.28 CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ImageGenerator.cpp \ + /home/cjsatnarine/Code/Raytracer/aabb.h \ + /home/cjsatnarine/Code/Raytracer/bvh.h \ /home/cjsatnarine/Code/Raytracer/camera.h \ /home/cjsatnarine/Code/Raytracer/colour.h \ /home/cjsatnarine/Code/Raytracer/hittable.h \ @@ -15,9 +17,11 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/alloca.h \ /usr/include/asm-generic/errno-base.h \ /usr/include/asm-generic/errno.h \ + /usr/include/c++/13/algorithm \ /usr/include/c++/13/backward/auto_ptr.h \ /usr/include/c++/13/backward/binders.h \ /usr/include/c++/13/bit \ + /usr/include/c++/13/bits/algorithmfwd.h \ /usr/include/c++/13/bits/align.h \ /usr/include/c++/13/bits/alloc_traits.h \ /usr/include/c++/13/bits/allocated_ptr.h \ @@ -66,10 +70,12 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/bits/shared_ptr_base.h \ /usr/include/c++/13/bits/specfun.h \ /usr/include/c++/13/bits/std_abs.h \ + /usr/include/c++/13/bits/stl_algo.h \ /usr/include/c++/13/bits/stl_algobase.h \ /usr/include/c++/13/bits/stl_bvector.h \ /usr/include/c++/13/bits/stl_construct.h \ /usr/include/c++/13/bits/stl_function.h \ + /usr/include/c++/13/bits/stl_heap.h \ /usr/include/c++/13/bits/stl_iterator.h \ /usr/include/c++/13/bits/stl_iterator_base_funcs.h \ /usr/include/c++/13/bits/stl_iterator_base_types.h \ @@ -82,6 +88,7 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/bits/streambuf_iterator.h \ /usr/include/c++/13/bits/string_view.tcc \ /usr/include/c++/13/bits/stringfwd.h \ + /usr/include/c++/13/bits/uniform_int_dist.h \ /usr/include/c++/13/bits/unique_ptr.h \ /usr/include/c++/13/bits/uses_allocator.h \ /usr/include/c++/13/bits/uses_allocator_args.h \ @@ -116,6 +123,7 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/new \ /usr/include/c++/13/ostream \ /usr/include/c++/13/pstl/execution_defs.h \ + /usr/include/c++/13/pstl/glue_algorithm_defs.h \ /usr/include/c++/13/pstl/glue_memory_defs.h \ /usr/include/c++/13/pstl/pstl_config.h \ /usr/include/c++/13/stdexcept \ @@ -325,8 +333,6 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/x86_64-linux-gnu/bits/iscanonical.h: -/usr/include/x86_64-linux-gnu/bits/fp-logb.h: - /usr/include/x86_64-linux-gnu/bits/fp-fast.h: /usr/include/x86_64-linux-gnu/bits/types/wint_t.h: @@ -385,13 +391,15 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/tr1/hypergeometric.tcc: -/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h: +/usr/include/c++/13/tr1/exp_integral.tcc: -/usr/include/c++/13/bits/refwrap.h: +/usr/include/c++/13/tr1/ell_integral.tcc: -/usr/include/c++/13/debug/debug.h: +/usr/include/features-time64.h: -/usr/include/c++/13/stdexcept: +/usr/include/c++/13/string_view: + +/usr/include/c++/13/string: /usr/include/c++/13/bits/ostream_insert.h: @@ -415,22 +423,10 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/bits/char_traits.h: -/usr/include/x86_64-linux-gnu/bits/math-vector.h: - -/usr/include/c++/13/bits/hash_bytes.h: - -/usr/include/asm-generic/errno-base.h: - -/usr/include/features-time64.h: - -/usr/include/c++/13/string_view: - /usr/include/errno.h: /usr/include/c++/13/bits/functional_hash.h: -/usr/include/c++/13/bits/nested_exception.h: - /usr/include/c++/13/bits/istream.tcc: /usr/include/c++/13/bits/exception_ptr.h: @@ -465,8 +461,52 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/alloca.h: +/usr/include/x86_64-linux-gnu/bits/endianness.h: + +/usr/include/c++/13/tr1/poly_laguerre.tcc: + +/usr/include/c++/13/bits/basic_string.h: + +/usr/include/c++/13/bits/specfun.h: + /home/cjsatnarine/Code/Raytracer/rayTracer.h: +/usr/include/c++/13/bits/cxxabi_forced.h: + +/home/cjsatnarine/Code/Raytracer/vec3.h: + +/home/cjsatnarine/Code/Raytracer/colour.h: + +/home/cjsatnarine/Code/Raytracer/hittable.h: + +/usr/include/c++/13/backward/binders.h: + +/home/cjsatnarine/Code/Raytracer/aabb.h: + +/usr/include/x86_64-linux-gnu/bits/waitflags.h: + +/usr/include/c++/13/bits/unique_ptr.h: + +/usr/include/c++/13/bits/align.h: + +/usr/include/c++/13/bits/nested_exception.h: + +/home/cjsatnarine/Code/Raytracer/bvh.h: + +/usr/include/c++/13/bits/ostream.tcc: + +/usr/include/x86_64-linux-gnu/c++/13/bits/c++config.h: + +/usr/include/c++/13/bits/ios_base.h: + +/home/cjsatnarine/Code/Raytracer/ImageGenerator.cpp: + +/usr/include/asm-generic/errno-base.h: + +/usr/include/x86_64-linux-gnu/bits/math-vector.h: + +/usr/include/c++/13/bits/hash_bytes.h: + /usr/include/c++/13/cwctype: /usr/include/c++/13/bits/predefined_ops.h: @@ -477,31 +517,15 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/cwchar: -/usr/include/c++/13/bits/cxxabi_forced.h: +/usr/include/c++/13/algorithm: -/home/cjsatnarine/Code/Raytracer/vec3.h: +/usr/include/x86_64-linux-gnu/bits/types/error_t.h: -/home/cjsatnarine/Code/Raytracer/colour.h: +/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h: -/usr/include/x86_64-linux-gnu/bits/waitflags.h: +/home/cjsatnarine/Code/Raytracer/ray.h: -/usr/include/c++/13/bits/align.h: - -/usr/include/c++/13/bits/unique_ptr.h: - -/home/cjsatnarine/Code/Raytracer/hittable.h: - -/usr/include/c++/13/backward/binders.h: - -/usr/include/c++/13/bits/stringfwd.h: - -/usr/include/c++/13/bits/ostream.tcc: - -/usr/include/x86_64-linux-gnu/c++/13/bits/c++config.h: - -/usr/include/c++/13/bits/ios_base.h: - -/home/cjsatnarine/Code/Raytracer/ImageGenerator.cpp: +/usr/include/c++/13/bits/stl_raw_storage_iter.h: /usr/include/c++/13/backward/auto_ptr.h: @@ -509,8 +533,26 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/bit: +/usr/include/x86_64-linux-gnu/bits/time64.h: + +/usr/include/c++/13/bits/basic_ios.h: + +/usr/include/c++/13/tr1/bessel_function.tcc: + +/usr/include/c++/13/bits/shared_ptr_base.h: + +/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h: + +/usr/include/locale.h: + +/usr/include/c++/13/ext/aligned_buffer.h: + /usr/include/c++/13/ios: +/usr/include/x86_64-linux-gnu/bits/fp-logb.h: + +/usr/include/c++/13/bits/algorithmfwd.h: + /usr/include/c++/13/bits/concept_check.h: /usr/include/c++/13/bits/alloc_traits.h: @@ -525,30 +567,26 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/bits/atomic_lockfree_defines.h: -/usr/include/x86_64-linux-gnu/bits/time64.h: - -/usr/include/c++/13/bits/basic_ios.h: - -/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h: - -/usr/include/locale.h: - -/usr/include/c++/13/ext/aligned_buffer.h: - 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/usr/include/c++/13/bits/shared_ptr_atomic.h: +/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h: + +/usr/include/c++/13/cstddef: + +/usr/include/c++/13/bits/stl_algo.h: + /usr/include/c++/13/bits/stl_algobase.h: /usr/include/c++/13/bits/allocator.h: @@ -569,6 +617,12 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/bits/stl_construct.h: +/usr/include/c++/13/bits/stl_heap.h: + +/usr/include/c++/13/ext/alloc_traits.h: + +/usr/include/c++/13/new: + /usr/include/x86_64-linux-gnu/bits/libc-header-start.h: /home/cjsatnarine/Code/Raytracer/material.h: @@ -577,22 +631,12 @@ CMakeFiles/Raytracer.dir/ImageGenerator.cpp.o: /home/cjsatnarine/Code/Raytracer/ /usr/include/c++/13/bits/stl_iterator.h: -/usr/include/c++/13/string: - /usr/include/asm-generic/errno.h: /usr/include/c++/13/bits/stl_iterator_base_funcs.h: /usr/include/c++/13/bits/stl_iterator_base_types.h: -/usr/include/x86_64-linux-gnu/bits/types/error_t.h: - 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the hittable list, which we will modify. The lifetime of the copied list only extends until this constructor exits. + } + + bvh_node(std::vector>& objects, size_t start, size_t end) { + int axis = randomInt(0,2); + + auto comparator = (axis == 0) ? boxXCompare + : (axis == 1) ? boxYCompare + : boxZCompare; + + size_t object_span = end - start; + + if (object_span == 1) { + left = right = objects[start]; + } else if (object_span == 2) { + left = objects[start]; + right = objects[start+1]; + } else { + std::sort(objects.begin() + start, objects.begin() + end, comparator); + + auto mid = start + object_span / 2; + left = make_shared(objects, start, mid); + right = make_shared(objects, mid, end); + } + + bBox = aabb(left->boundingBox(), right->boundingBox()); + } + + bool hit(const ray& r, interval ray_t, hitRecord& rec) const override { + if (!bBox.hit(r, ray_t)) return false; + + bool hitLeft = left->hit(r, ray_t, rec); + bool hitRight = right->hit(r, interval(ray_t.min, hitLeft ? rec.t : ray_t.max), rec); + + return hitLeft || hitRight; + } + + aabb boundingBox() const override { return bBox; } + + private: + shared_ptr left; + shared_ptr right; + aabb bBox; + + static bool boxCompare(const shared_ptr a, const shared_ptr b, int axisIndex) { + auto aAxisInterval = a->boundingBox().axisInterval(axisIndex); + auto bAxisInterval = b->boundingBox().axisInterval(axisIndex); + return aAxisInterval.min < bAxisInterval.min; + } + + static bool boxXCompare(const shared_ptr a, const shared_ptr b) { + return boxCompare(a, b, 0); + } + + static bool boxYCompare(const shared_ptr a, const shared_ptr b) { + return boxCompare(a, b, 1); + } + + static bool boxZCompare(const shared_ptr a, const shared_ptr b) { + return boxCompare(a, b, 2); + } +}; + +#endif \ No newline at end of file diff --git a/hittable.h b/hittable.h index b9ffe44..1fa756f 100644 --- a/hittable.h +++ b/hittable.h @@ -2,6 +2,7 @@ #define HITTABLE_H #include "rayTracer.h" +#include "aabb.h" class material; @@ -29,6 +30,8 @@ class hittable { virtual ~hittable() = default; virtual bool hit(const ray& r, interval rayT, hitRecord& rec) const = 0; + + virtual aabb boundingBox() const = 0; }; #endif \ No newline at end of file diff --git a/hittableList.h b/hittableList.h index c202a2b..830a36d 100644 --- a/hittableList.h +++ b/hittableList.h @@ -1,11 +1,15 @@ #ifndef HITTABLE_LIST_H #define HITTABLE_LIST_H +#include "aabb.h" #include "hittable.h" #include "rayTracer.h" #include class hittableList : public hittable { + private: + aabb bBox; + public: std::vector> objects; @@ -20,6 +24,7 @@ class hittableList : public hittable { void add(shared_ptr object) { objects.push_back(object); + bBox = aabb(bBox, object->boundingBox()); } bool hit (const ray& r, interval rayT, hitRecord& rec) const override { @@ -38,6 +43,10 @@ class hittableList : public hittable { return hitAnything; } + + aabb boundingBox() const override { + return bBox; + } }; #endif \ No newline at end of file diff --git a/image.ppm b/image.ppm index 2c3f587..2494df5 100644 --- a/image.ppm +++ b/image.ppm @@ -1,5 +1,5 @@ P3 -800 450 +400 225 255 219 234 254 219 234 254 @@ -401,18 +401,38 @@ P3 219 234 254 219 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 +220 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 +220 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 @@ -421,20 +441,28 @@ P3 219 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 219 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 @@ -448,6 +476,7 @@ P3 219 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 @@ -696,6 +725,7 @@ P3 219 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 @@ -720,6 +750,7 @@ P3 219 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 219 234 254 @@ -728,23840 +759,4847 @@ P3 219 234 254 219 234 254 219 234 254 +220 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 +220 234 254 219 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 +220 234 254 +220 234 254 219 234 254 +220 234 254 219 234 254 +220 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 +220 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 219 234 254 219 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 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+220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 220 235 254 +220 234 254 +220 234 254 220 235 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 220 235 254 +220 234 254 +220 234 254 +220 234 254 220 235 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 220 235 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 +220 234 254 220 235 254 +220 234 254 +220 234 254 220 235 254 +220 234 254 220 235 254 220 235 254 +220 234 254 220 235 254 220 235 254 220 235 254 @@ -25126,410 +6164,13 @@ P3 220 235 254 220 235 254 219 233 252 +217 231 250 +219 233 252 219 234 253 -216 230 249 -217 231 250 -219 233 252 -220 234 253 -214 226 244 -216 230 249 -216 230 249 218 232 251 -216 229 248 -216 230 249 -216 229 248 +218 232 251 217 231 250 220 234 253 -218 232 251 -219 233 252 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 220 235 254 220 235 254 220 235 254 @@ -25918,840 +6559,23 @@ P3 220 235 254 220 235 254 219 233 252 -220 235 254 -220 235 254 -215 228 246 -218 232 251 -216 229 248 -211 223 240 -210 222 239 -205 215 232 -207 217 234 -201 210 225 -199 207 221 -201 210 225 -206 216 233 -207 217 234 -208 218 235 -204 213 229 -209 221 238 -204 214 230 -207 217 234 -199 207 221 -200 209 224 -209 221 238 214 227 245 -207 217 234 212 224 242 -209 221 238 -210 222 239 -217 230 249 -217 231 250 -216 230 249 -219 233 252 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 234 254 -220 235 254 -220 235 254 -219 233 253 -220 234 254 -219 233 253 -219 233 253 -218 232 252 -217 231 251 -219 233 253 -218 232 252 -216 231 251 -218 233 253 -220 234 254 -219 234 254 -219 234 254 -219 234 254 -220 235 254 -220 234 254 -219 233 253 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 234 253 -217 231 250 -220 234 253 -217 231 250 -209 220 237 -216 230 249 -208 220 237 -201 210 225 -202 211 227 -195 201 215 -199 207 221 -188 193 205 -193 199 212 -194 201 215 -195 201 215 -187 192 204 -184 187 198 -186 190 201 -186 190 201 -180 181 190 -187 192 204 -186 190 201 -186 190 201 -183 186 196 -178 181 190 -190 197 209 -189 194 206 -196 203 216 -190 196 208 -191 197 209 -194 201 215 -204 213 229 -204 213 229 -200 209 224 -208 218 235 -214 226 244 +203 212 228 208 219 235 -212 224 242 -217 231 250 +200 209 224 +197 204 219 +186 190 201 +190 195 208 +199 208 223 +196 203 217 +192 198 211 +194 200 213 +205 215 232 +204 213 229 +210 222 239 +216 229 248 +215 228 246 219 233 252 220 234 253 220 235 254 @@ -26769,52 +6593,21 @@ P3 220 235 254 220 235 254 220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 219 233 253 -220 234 254 -218 233 253 -218 232 253 -216 231 251 -214 228 249 -213 228 248 -211 226 246 -215 230 251 -209 224 245 -205 220 241 -207 222 242 -208 223 244 -205 220 240 -205 221 242 -206 222 243 -204 220 240 -204 219 240 -205 221 242 -207 222 243 -209 225 246 -210 225 246 -214 230 250 -208 223 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-220 234 253 -218 231 249 -219 232 251 -218 231 249 -217 230 249 +218 232 251 +216 229 247 215 227 245 +217 231 249 213 224 241 213 225 242 -214 226 243 -209 219 234 -211 222 237 -211 222 237 -209 219 233 -211 222 238 -212 224 240 -210 220 235 -211 222 237 -210 221 236 -213 225 241 -215 227 244 216 229 247 -215 227 244 +217 231 249 218 232 251 -216 229 247 -219 233 253 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -218 232 251 -220 234 253 -212 224 242 -206 216 233 -198 206 220 -198 206 220 -193 199 212 -190 196 208 -192 198 211 -185 189 201 -189 193 205 -187 191 202 -176 177 185 -172 171 177 -172 172 179 -167 165 171 -165 161 166 -169 167 172 -152 143 143 -150 140 139 -160 155 158 -156 149 151 -161 156 158 -168 166 171 -171 169 176 -163 160 164 -159 153 155 -162 157 160 -170 168 174 -168 166 172 -168 165 171 -173 172 179 -176 176 184 -182 185 195 -185 188 199 -181 183 193 -195 202 216 -196 204 217 -195 202 216 -197 205 219 -196 202 216 -208 219 235 -213 226 244 -216 230 249 -219 233 252 -219 233 252 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -219 234 254 -219 233 253 -217 232 252 -214 229 248 -213 228 248 -212 227 248 -208 223 244 -198 214 235 -201 216 238 -192 209 229 -196 212 234 -195 212 233 -193 210 231 -193 210 231 -189 207 228 -188 204 226 -192 208 231 -184 201 223 -186 203 226 -178 195 216 -187 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235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 234 253 -219 233 252 -216 228 246 -215 227 244 -210 221 236 -205 214 227 -199 206 216 -189 192 198 -197 203 213 -191 195 202 -186 189 194 -185 188 192 -183 185 189 -180 181 182 -179 180 182 -181 183 186 -178 179 181 -178 179 181 -178 179 181 -179 179 182 -179 180 182 -179 180 182 -179 180 182 -178 178 180 -179 179 181 -179 180 182 -180 181 183 -180 181 182 -180 181 183 -185 188 192 -186 188 193 -186 189 194 -188 191 196 -195 200 208 -200 207 218 -199 206 217 -210 220 235 -209 219 233 -212 224 240 -217 229 247 -219 233 252 220 234 254 220 235 254 220 235 254 @@ -28031,5239 +6954,1676 @@ P3 220 235 254 220 235 254 220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 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192 216 -166 183 206 -168 186 210 -175 193 215 -171 189 212 -172 190 213 -168 185 207 -183 200 224 -193 211 233 -190 207 230 -198 214 236 -199 215 236 -195 211 233 -204 220 241 -208 223 244 -209 224 244 -213 228 249 -213 227 248 -219 233 253 -219 233 253 -218 232 252 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 234 254 -217 230 249 -213 224 241 -212 223 239 -202 210 221 -200 207 217 -194 199 207 -188 190 195 -181 182 184 -180 181 183 -178 179 181 -177 178 180 -177 178 180 -176 178 180 -176 177 180 -176 177 180 -176 177 180 -175 177 180 -175 177 180 -175 177 180 -175 177 180 -175 177 180 -175 177 180 -174 176 180 -175 177 180 -174 177 180 -174 176 180 -174 177 180 -174 176 180 -174 176 180 -175 177 180 -175 177 180 -175 177 180 -175 177 180 -175 177 180 -175 177 180 -175 177 180 -176 177 180 -176 177 180 -176 177 180 -177 178 180 -177 178 180 -178 179 181 -178 178 180 -180 181 182 -184 186 189 -191 195 202 -190 194 199 -201 208 220 -209 219 233 -212 223 239 -216 229 247 -218 231 250 -220 234 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 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217 238 -197 214 236 -190 207 229 -189 206 228 -183 201 224 -171 190 213 -172 190 212 -168 186 209 -166 184 206 -168 188 211 -166 186 210 -168 189 212 -158 178 201 -163 184 207 -161 181 204 -162 181 207 -153 173 197 -153 173 196 -155 174 198 -153 172 197 -155 174 199 -164 185 208 -155 175 198 -160 179 203 -150 170 192 -155 176 197 -158 177 201 -156 176 198 -154 173 197 -158 177 201 -161 180 204 -163 182 207 -165 184 210 -157 176 200 -166 185 210 -155 172 195 -174 193 218 -174 193 217 -169 186 210 -169 186 210 -176 194 217 -178 196 220 -179 196 218 -189 205 228 -198 214 236 -206 222 243 -207 222 244 -207 223 244 -216 230 251 -214 229 248 -216 231 251 -220 234 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 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176 180 -173 176 180 -173 176 180 -173 176 180 -173 176 180 -174 176 180 -174 176 180 -174 176 180 -174 177 180 -175 177 180 -175 177 180 -176 177 180 -176 178 180 -177 178 180 -179 179 182 -179 180 182 -184 186 189 -190 194 200 -198 204 214 -203 211 223 -214 226 243 -216 229 247 -219 233 253 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 235 254 -220 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+124 138 163 +120 134 158 +123 139 162 +126 141 165 120 133 157 -120 134 157 -118 125 149 -109 114 138 -107 103 131 -104 99 127 -96 90 117 -87 66 99 -89 65 99 -85 54 93 -75 27 76 -80 40 83 -72 15 70 -76 17 75 -77 17 77 -74 16 72 -81 18 79 -79 18 80 -78 17 78 -79 17 77 +122 135 158 +119 130 154 +123 136 159 +123 136 160 +124 140 164 +117 125 149 +112 114 140 +104 98 126 +85 61 95 +81 48 87 +77 17 76 79 17 79 +79 17 78 78 17 77 -83 19 84 -76 17 76 -80 18 79 +89 20 88 82 18 82 -85 19 84 -79 18 79 +81 18 79 +86 19 84 80 18 80 -78 18 80 -80 18 80 -82 18 81 +84 19 83 +83 19 84 79 18 79 -81 18 81 -82 18 83 diff --git a/interval.h b/interval.h index 1f03cf4..6e2d01f 100644 --- a/interval.h +++ b/interval.h @@ -12,6 +12,12 @@ class interval { interval(double min, double max) : min(min), max(max) {} + interval(const interval& a, const interval& b) { + // Create the interval tightly enclosing the two input intervals. + min = a.min <= b.min ? a.min : b.min; + max = a.max >= b.max ? a.max : b.max; + } + double size() const { return max - min; } @@ -30,6 +36,11 @@ class interval { return x; } + interval expand(double delta) const { + auto padding = delta / 2; + return interval(min - padding, max + padding); + } + static const interval empty, universe; }; diff --git a/rayTracer.h b/rayTracer.h index cd2747e..c88b28c 100644 --- a/rayTracer.h +++ b/rayTracer.h @@ -40,6 +40,11 @@ inline double randomDouble(double min, double max) { return min + (max - min) * randomDouble(); } +inline int randomInt(int min, int max) { + // Returns a random integer in [min, max]. + return int(randomDouble(min, max++)); +} + // Common headers. #include "colour.h" #include "interval.h" diff --git a/sphere.h b/sphere.h index e0d07bf..041887b 100644 --- a/sphere.h +++ b/sphere.h @@ -11,6 +11,7 @@ class sphere : public hittable { shared_ptr mat; bool isMoving; vec3 centreVec; + aabb bBox; point3 sphereCentre(double time) const { // Linearly interpolate from centre1 to centre2 accoedingf to time, where t=0 yields centre1 and t=1 yields centre2. @@ -19,10 +20,18 @@ class sphere : public hittable { public: // Stationary sphere. - sphere(const point3& centre, double radius, shared_ptr mat) : centre1(centre), radius(fmax(0, radius)), mat(mat), isMoving(false) {} + sphere(const point3& centre, double radius, shared_ptr mat) : centre1(centre), radius(fmax(0, radius)), mat(mat), isMoving(false) { + auto rvec = vec3(radius, radius, radius); + bBox = aabb(centre1 - rvec, centre1 + rvec); + } // Moving sphere. sphere(const point3& centre1, const point3& centre2, double radius, shared_ptr mat) : centre1(centre1), radius(fmax(0, radius)), mat(mat), isMoving(true) { + auto rvec = vec3(radius, radius, radius); + aabb box1(centre1 - rvec, centre1 + rvec); + aabb box2(centre2 - rvec, centre2 + rvec); + bBox = aabb(box1, box2); + centreVec = centre2 - centre1; } @@ -59,6 +68,10 @@ class sphere : public hittable { return true; } + aabb boundingBox() const override { + return bBox; + } + }; #endif \ No newline at end of file