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Installed ImageMagick ────── v1.3.0  Installed Accessors ──────── v0.1.41  Installed Referenceables ─── v0.1.3  Installed InitialValues ──── v0.3.1  Installed GR_jll ─────────── v0.72.8+0  Installed Images ─────────── v0.23.3  Installed DefineSingletons ─ v0.1.2  Installed SpecialFunctions ─ v1.8.8  Installed MicroCollections ─ v0.2.0  Installed StatsBase ──────── v0.33.21  Installed BangBang ───────── v0.4.3  Installed ArgCheck ───────── v2.4.0  Installed Libtiff_jll ────── v4.4.0+0  Installed ImageShow ──────── v0.2.3  Installed ColorVectorSpace ─ v0.8.7  Installed CompositionsBase ─ v0.1.2  Installed ThreadsX ───────── v0.1.12  Installed OpenSSL_jll ────── v1.1.23+1  Installed ColorTypes ─────── v0.10.12  Installed Transducers ────── v0.4.84  Installed Plots ──────────── v1.40.7  Installed WoodburyMatrices ─ v0.5.6  Installed SplittablesBase ── v0.1.15  Installed Baselet ────────── v0.1.1  Installed Interpolations ─── v0.13.6  Installed GR ─────────────── v0.72.8  Installed FFMPEG_jll ─────── v4.4.2+2  Updating `/tmp/jl_UC5bFu/Project.toml`  [6218d12a] + ImageMagick v1.3.0  [916415d5] + Images v0.23.3  [91a5bcdd] + Plots v1.40.7  [7f904dfe] + PlutoUI v0.6.11  [ac1d9e8a] + ThreadsX v0.1.12  Updating `/tmp/jl_UC5bFu/Manifest.toml`  [621f4979] + AbstractFFTs v1.5.0  [7d9f7c33] + Accessors v0.1.41  [79e6a3ab] + Adapt v4.3.0  [dce04be8] + ArgCheck v2.4.0  [13072b0f] + AxisAlgorithms v1.0.1  [39de3d68] + AxisArrays v0.4.7  [198e06fe] + BangBang v0.4.3  [9718e550] + Baselet v0.1.1  [d1d4a3ce] + BitFlags v0.1.9  [aafaddc9] + CatIndices v0.2.2  [d360d2e6] + ChainRulesCore v1.25.1  [9e997f8a] + ChangesOfVariables v0.1.10  [944b1d66] + CodecZlib v0.7.8  [35d6a980] + ColorSchemes v3.26.0  [3da002f7] + ColorTypes v0.10.12  [c3611d14] + ColorVectorSpace v0.8.7  [5ae59095] + Colors v0.12.11  [34da2185] + Compat v4.16.0  [a33af91c] + CompositionsBase v0.1.2  [ed09eef8] + ComputationalResources v0.3.2  [f0e56b4a] + ConcurrentUtilities v2.5.0  [187b0558] + ConstructionBase 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[cae243ae] + StackViews v0.1.2  [90137ffa] + StaticArrays v1.9.13  [1e83bf80] + StaticArraysCore v1.4.3  [82ae8749] + StatsAPI v1.7.1  [2913bbd2] + StatsBase v0.33.21  [fd094767] + Suppressor v0.2.8  [3783bdb8] + TableTraits v1.0.1  [bd369af6] + Tables v1.12.1  [ac1d9e8a] + ThreadsX v0.1.12  [06e1c1a7] + TiledIteration v0.3.1  [3bb67fe8] + TranscodingStreams v0.11.3  [28d57a85] + Transducers v0.4.84  [5c2747f8] + URIs v1.5.2  [3a884ed6] + UnPack v1.0.2  [1cfade01] + UnicodeFun v0.4.1  [1986cc42] + Unitful v1.23.1  [45397f5d] + UnitfulLatexify v1.7.0  [41fe7b60] + Unzip v0.2.0  [efce3f68] + WoodburyMatrices v0.5.6  [6e34b625] + Bzip2_jll v1.0.9+0  [83423d85] + Cairo_jll v1.18.5+0  [ee1fde0b] + Dbus_jll v1.16.2+0  [2702e6a9] + EpollShim_jll v0.0.20230411+1  [2e619515] + Expat_jll v2.6.5+0  [b22a6f82] + FFMPEG_jll v4.4.2+2  [f5851436] + FFTW_jll v3.3.11+0  [a3f928ae] + Fontconfig_jll v2.16.0+0  [d7e528f0] + FreeType2_jll v2.13.4+0  [559328eb] + FriBidi_jll v1.0.17+0  [0656b61e] + GLFW_jll 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+ libaom_jll v3.11.0+0  [0ac62f75] + libass_jll v0.15.2+0  [1183f4f0] + libdecor_jll v0.2.2+0  [f638f0a6] + libfdk_aac_jll v2.0.3+0  [b53b4c65] + libpng_jll v1.6.49+0  [f27f6e37] + libvorbis_jll v1.3.7+2  [1317d2d5] + oneTBB_jll v2022.0.0+0  [1270edf5] + x264_jll v2021.5.5+0  [dfaa095f] + x265_jll v3.5.0+0  [d8fb68d0] + xkbcommon_jll v1.8.1+0  [0dad84c5] + ArgTools  [56f22d72] + Artifacts  [2a0f44e3] + Base64  [ade2ca70] + Dates  [8bb1440f] + DelimitedFiles  [8ba89e20] + Distributed  [f43a241f] + Downloads  [7b1f6079] + FileWatching  [9fa8497b] + Future  [b77e0a4c] + InteractiveUtils  [4af54fe1] + LazyArtifacts  [b27032c2] + LibCURL  [76f85450] + LibGit2  [8f399da3] + Libdl  [37e2e46d] + LinearAlgebra  [56ddb016] + Logging  [d6f4376e] + Markdown  [a63ad114] + Mmap  [ca575930] + NetworkOptions  [44cfe95a] + Pkg  [de0858da] + Printf  [3fa0cd96] + REPL  [9a3f8284] + Random  [ea8e919c] + SHA  [9e88b42a] + Serialization  [1a1011a3] + SharedArrays  [6462fe0b] + Sockets  [2f01184e] + SparseArrays  [10745b16] + Statistics  [fa267f1f] + TOML  [a4e569a6] + Tar  [8dfed614] + Test  [cf7118a7] + UUIDs  [4ec0a83e] + Unicode  [e66e0078] + CompilerSupportLibraries_jll  [deac9b47] + LibCURL_jll  [29816b5a] + LibSSH2_jll  [c8ffd9c3] + MbedTLS_jll  [14a3606d] + MozillaCACerts_jll  [4536629a] + OpenBLAS_jll  [05823500] + OpenLibm_jll  [efcefdf7] + PCRE2_jll  [83775a58] + Zlib_jll  [8e850b90] + libblastrampoline_jll  [8e850ede] + nghttp2_jll  [3f19e933] + p7zip_jll Precompiling project...  ✓ CompositionsBase  ✓ ArgCheck  ✓ WoodburyMatrices  ✓ DefineSingletons  ✓ InitialValues  ✓ Referenceables  ✓ OpenSSL_jll  ✓ Baselet  ✓ SplittablesBase  ✓ Libtiff_jll  ✓ AxisAlgorithms  ✓ OpenSSL  ✓ Accessors  ✓ Qt5Base_jll  ✓ FFMPEG_jll  ✓ StatsBase  ✓ ImageMagick_jll  ✓ BangBang  ✓ FFMPEG  ✓ SpecialFunctions  ✓ GR_jll  ✓ MicroCollections  ✓ HTTP  ✓ Interpolations  ✓ ColorTypes  ✓ Transducers  ✓ GR  ✓ ThreadsX  ✓ Colors  ✓ Graphics  ✓ ColorVectorSpace  ✓ ImageCore  ✓ ImageShow  ✓ ImageAxes  ✓ ImageMorphology  ✓ ImageMagick  ✓ ImageMetadata  ✓ ImageTransformations  ✓ ImageDistances  ✓ ColorSchemes  ✓ ImageContrastAdjustment  ✓ PlotUtils  ✓ PlotThemes  ✓ RecipesPipeline  ✓ ImageFiltering  ✓ ImageQualityIndexes  ✓ Images  ✓ Plots 48 dependencies successfully precompiled in 81 seconds (161 already precompiled) text/plaincell_id$8989d43e-190e-11eb-3e48-7d10df903b5dkwargsidPlutoRunner_d1acb81efileP/home/runner/.julia/packages/Pluto/6smog/src/runner/PlutoRunner/src/io/stdout.jlgroupstdoutlevelLogLevel(-555)running¦outputbodymimetext/plainrootassigneelast_run_timestampApersist_js_state·has_pluto_hook_features§cell_id$8989d43e-190e-11eb-3e48-7d10df903b5ddepends_on_disabled_cells§runtime%-published_object_keysdepends_on_skipped_cells§errored$8cd93b70-1910-11eb-39eb-a7dd6c180bcfqueued¤logsrunning¦outputbody/convert_to_img (generic function with 1 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Pluto notebook adaptation of https://github.com/leios/simuleios/tree/master/raytracing

See https://www.youtube.com/watch?v=JwyQezsQkkw

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# T md"High resolution: $(@bind highres CheckBox())" endmetadatashow_logsèdisabled®skip_as_script«code_folded$8cc03530-1910-11eb-3404-15f5c8f69f8fcell_id$8cc03530-1910-11eb-3404-15f5c8f69f8fcode3function propagate(ray::Ray, objects::Vector{O}, num_intersections) where {O <: Object} for i = 1:num_intersections if ray.v != zeros(length(ray.v)) intersect_final = [Inf, Inf] intersected_object = nothing for object in objects intersect = intersection(ray, object) if intersect != nothing && sum(intersect[:].^2) < sum(intersect_final[:].^2) intersect_final = intersect intersected_object = object end end if intersected_object != nothing ray.p .+= intersect_final if intersected_object isa Sphere if !isapprox(intersected_object.s.t, 0) ior = 1/intersected_object.s.ior if dot(ray.v, sphere_normal_at(ray, intersected_object)) > 0 ior = intersected_object.s.ior end ray = refract(ray, intersected_object, ior) elseif !isapprox(intersected_object.s.r, 0) n = sphere_normal_at(ray, intersected_object) ray = reflect(ray, n) elseif !isapprox(intersected_object.s.c.alpha, 0) ray_color = RGB(intersected_object.s.c) ray_vel = zeros(length(ray.v)) ray = Ray(ray_vel, ray.p, ray_color) end elseif intersected_object isa Mirror ray = reflect(ray, intersected_object.n) elseif intersected_object isa SkyBox ray_color = pixel_color(ray.p) ray_vel = zeros(length(ray.v)) ray = Ray(ray_vel, ray.p, ray_color) end else println("hit nothing") end end end return ray endmetadatashow_logsèdisabled®skip_as_script«code_folded$45a028a0-190f-11eb-355d-ad3c55fb1e2fcell_id$45a028a0-190f-11eb-355d-ad3c55fb1e2fcodeusing Testmetadatashow_logsèdisabled®skip_as_script«code_folded$8c36e0f0-1910-11eb-1a50-6526ea1a9663cell_id$8c36e0f0-1910-11eb-1a50-6526ea1a9663codeAfunction refract(ray, lens::Sphere, ior) # note: light moves at a particular speed with respect to the medium it is # moving through, so... # n_2*v = n_1*l + (n_1*cos(theta_1) - n_2*cos(theta_2))*n # Other approximations: ior = n_1/n_2, c = -n*l n = sphere_normal_at(ray, lens) if dot(n, ray.v) > 0 n .*= -1 end c = dot(-n, ray.v); d = 1.0 - ior^2 * (1.0 - c^2); if (d < 0.0) reflect!(ray, n) return end ray_vel = ior * ray.v + (ior * c - sqrt(d)) * n; return Ray(ray_vel, ray.p, ray.c) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c67b4f0-1910-11eb-0efe-5f123cc14d53cell_id$8c67b4f0-1910-11eb-0efe-5f123cc14d53code,# note: for reflection, l_x -> l_x, but l_y -> -l_y # In this case, the y component of l = cos(theta)*n # so new vector: v = l + 2cos(theta)*n function reflect(ray, n) ray_vel = ray.v .- 2*dot(ray.v, n).*n ray_pos = ray.p .+ 0.001*ray.v return Ray(ray_vel, ray_pos, ray.c) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8cd93b70-1910-11eb-050a-5713b545f28ecell_id$8cd93b70-1910-11eb-050a-5713b545f28ecode-function pixel_color(position) extents = 1000.0 c = RGB(0) if position[1] < extents && position[1] > -extents c += RGB((position[1]+extents)/(2.0*extents), 0, 0) else println(position) end if position[2] < extents && position[2] > -extents c += RGB(0,0,(position[2]+extents)/(2.0*extents)) else println(position) end if position[3] < extents && position[3] > -extents c += RGB(0,(position[3]+extents)/(2.0*extents), 0) else println(position) end return c endmetadatashow_logsèdisabled®skip_as_script«code_folded$8d1e5abe-1910-11eb-2a84-79f43f4a7e65cell_id$8d1e5abe-1910-11eb-2a84-79f43f4a7e65code"objects(t) = vcat(sky, spheres(t))metadatashow_logsèdisabled®skip_as_script«code_folded$8e89388e-1914-11eb-0f2f-619c7fe79430cell_id$8e89388e-1914-11eb-0f2f-619c7fe79430codel# begin # function intersection(ray::Ray, skybox::SkyBox; # threshold = 0.01) # return skybox.r * ray.v # end # function intersection(ray::Ray, sphere::Sphere; # threshold = 0.01) # relative_dist = ray.p-sphere.p # a = dot(ray.v, ray.v) # b = 2.0 * dot(relative_dist, ray.v) # c = dot(relative_dist, relative_dist) - sphere.r*sphere.r # discriminant = b*b - 4*a*c # if discriminant < 0 # return nothing # elseif discriminant > 0 # roots = [(-b + sqrt(discriminant)) / (2*a), # (-b - sqrt(discriminant)) / (2*a)] # min = minimum(roots) # max = maximum(roots) # if min > threshold # return (min)*ray.v # elseif max > threshold # return (max)*ray.v # else # return nothing # end # else # # Returns nothing if tangential # return nothing # #return (-b/(2*a))*ray.v # end # end # endmetadatashow_logsèdisabled®skip_as_script«code_folded$c1f06690-1914-11eb-2426-29e3027f4f32cell_id$c1f06690-1914-11eb-2426-29e3027f4f32code]intersection( Ray([1.0, 0.0, 0.0], [0.0, 0.0, 0.0], RGB(0,0,0)), SkyBox([2.0,0,0], 10000) )metadatashow_logsèdisabled®skip_as_script«code_folded$8c1acd70-1910-11eb-24e6-333b3aa1e91fcell_id$8c1acd70-1910-11eb-24e6-333b3aa1e91fcode]function sphere_normal_at(ray, sphere) n = normalize(ray.p .- sphere.p) return n endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c99c170-1910-11eb-2e24-49ed98b4dd2ccell_id$8c99c170-1910-11eb-2e24-49ed98b4dd2ccodebfunction intersection(ray::Ray, sphere::S; threshold = 0.01) where {S <: Union{Sphere, SkyBox}} relative_dist = ray.p-sphere.p a = dot(ray.v, ray.v) b = 2.0 * dot(relative_dist, ray.v) c = dot(relative_dist, relative_dist) - sphere.r*sphere.r discriminant = b*b - 4*a*c if discriminant < 0 return nothing elseif discriminant > 0 roots = [(-b + sqrt(discriminant)) / (2*a), (-b - sqrt(discriminant)) / (2*a)] min = minimum(roots) max = maximum(roots) if min > threshold return (min)*ray.v elseif max > threshold return (max)*ray.v else return nothing end else # Returns nothing if tangential return nothing #return (-b/(2*a))*ray.v end endmetadatashow_logsèdisabled®skip_as_script«code_folded$8989d43e-190e-11eb-3e48-7d10df903b5dcell_id$8989d43e-190e-11eb-3e48-7d10df903b5dcodecbegin import Pkg Pkg.activate(mktempdir()) Pkg.add([ Pkg.PackageSpec(name="Plots", version="1"), Pkg.PackageSpec(name="Images", version="0.23"), Pkg.PackageSpec(name="ImageMagick"), Pkg.PackageSpec(name="PlutoUI", version="0.6.8-0.6"), Pkg.PackageSpec(name="ThreadsX"), ]) using Images using Plots using PlutoUI using ThreadsX endmetadatashow_logsèdisabled®skip_as_script«code_folded$8cd93b70-1910-11eb-39eb-a7dd6c180bcfcell_id$8cd93b70-1910-11eb-39eb-a7dd6c180bcfcodefunction convert_to_img(rays::Array{Ray}, filename) color_array = Array{RGB}(undef, size(rays)[2], size(rays)[1]) for i = 1:length(color_array) color_array[i] = rays[i].c end save(filename, color_array) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c09b670-1910-11eb-378a-7b49a6e0e0facell_id$8c09b670-1910-11eb-378a-7b49a6e0e0facodeYfunction ColoredSphere(p, r, c::RGB) return Sphere(p, r, Surface(0,0,RGBA(c), 0)) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8d079e70-1910-11eb-01df-e5817d349353cell_id$8d079e70-1910-11eb-01df-e5817d349353code%sky = [SkyBox([0.0, 0.0, 0.0], 1000)]metadatashow_logsèdisabled®skip_as_script«code_folded$8c29e89e-1910-11eb-0ab3-bd8039bb7f10cell_id$8c29e89e-1910-11eb-0ab3-bd8039bb7f10codeٸfunction inside_of(pos, sphere) x = sphere.p[1] - pos[1] y = sphere.p[2] - pos[2] if (x^2 + y^2 <= sphere.r^2) return true else return false end endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c45ae00-1910-11eb-0726-79ba8d8e8085cell_id$8c45ae00-1910-11eb-0726-79ba8d8e8085codemutable struct Mirror <: Wall # Normal vector n::Vector{Float64} # Position of mirror p::Vector{Float64} # Mirror size scale::Float64 Mirror(in_n, in_p) = new(in_n, in_p, 2.5) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8b77c0c0-193e-11eb-1ba8-d99a89ab1cc5cell_id$8b77c0c0-193e-11eb-1ba8-d99a89ab1cc5codemetadatashow_logsèdisabled®skip_as_script«code_folded$8bccfb90-1910-11eb-07e2-89c2354c0ec5cell_id$8bccfb90-1910-11eb-07e2-89c2354c0ec5codestruct Surface # Reflectivity r::Float64 # Transmission t::Float64 # Color c::RGBA # index of refraction ior::Float64 function Surface(in_r, in_t, in_c, in_ior) if !isapprox(in_r+in_t+in_c.alpha, 1) error("invalid surface definition, RTC < 1") end new(in_r,in_t,in_c, in_ior) end Surface(in_r, in_t, in_c::Float64, in_ior) = new(in_r, in_t, RGBA(0,0,0,0), in_ior) endmetadatashow_logsèdisabled®skip_as_script«code_folded$0bc3e570-1939-11eb-1e86-e97a9b07ea7ccell_id$0bc3e570-1939-11eb-1e86-e97a9b07ea7ccodetmetadatashow_logsèdisabled®skip_as_script«code_folded$b766c970-1910-11eb-1457-9f5986c4807fcell_id$b766c970-1910-11eb-1457-9f5986c4807fcode= 0 return true else return false end endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c7f3490-1910-11eb-3e86-d36bf13976d0cell_id$8c7f3490-1910-11eb-3e86-d36bf13976d0codeofunction draw_circle(p, r, res) return [x .+ (p[1], p[2]) for x in Plots.partialcircle(0, 2pi, res, r)] endmetadatashow_logsèdisabled®skip_as_script«code_folded$8cf0e220-1910-11eb-1237-23da08615addcell_id$8cf0e220-1910-11eb-1237-23da08615addcodefunction ray_trace(objects::Vector{O}, cam::Camera; filename="check.png", num_intersections = 10) where {O <: Object} rays = init_rays(cam) rays = propagate(rays, objects, num_intersections) # convert_to_img(rays, filename) return rays endmetadatashow_logsèdisabled®skip_as_script«code_folded$8cb27992-1910-11eb-3602-1ba932c81088cell_id$8cb27992-1910-11eb-3602-1ba932c81088code-function intersection(ray::Ray, wall::W) where {W <: Wall} intersection_pt = -dot((ray.p .- wall.p),wall.n)/dot(ray.v, wall.n) if isfinite(intersection_pt) && intersection_pt > 0 && intersection_pt != NaN return intersection_pt*ray.v else return nothing end endmetadatashow_logsèdisabled®skip_as_script«code_folded$8d079e70-1910-11eb-0f98-95762a22a7f2cell_id$8d079e70-1910-11eb-0f98-95762a22a7f2codespheres(t) = [ ReflectingSphere([0,0,-25], 10), # ColoredSphere([0,0,-25], 5, RGB(0.75, .65, 0.1)), # ReflectingSphere([50 * sin(t), 0, 50 * cos(t) - 25], 15), Lens([50 * sin(t), 0, 50 * cos(t) - 25], 15, 1.5), Lens([-50 * sin(t), 0, -50*cos(t) - 25], 15, 1.5), Lens([-50 * sin(t + 2pi/3), 0, -50*cos(t + 2pi/3) - 25], 15, 1.5), Lens([-50 * sin(t + 4pi/3), 0, -50*cos(t + 4pi/3) - 25], 15, 1.5), ]metadatashow_logsèdisabled®skip_as_script«code_folded$8bc95210-1910-11eb-1617-6553c4a38187cell_id$8bc95210-1910-11eb-1617-6553c4a38187codeفstruct Ray # Velocity vector v::Vector{Float64} # Position vector p::Vector{Float64} # Color c::RGB endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c0b3d10-1910-11eb-26cc-234b48fb81b7cell_id$8c0b3d10-1910-11eb-26cc-234b48fb81b7codetmutable struct SkyBox <: Object # Skybox position p::Vector{Float64} # Skybox radius r::Float64 endmetadatashow_logsèdisabled®skip_as_script«code_folded$8bec1c50-1910-11eb-2f63-9151c9c3cb3bcell_id$8bec1c50-1910-11eb-2f63-9151c9c3cb3bcodeTfunction Lens(p, r, ior) return Sphere(p, r, Surface(0,1,RGBA(0,0,0,0),ior)) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c99c170-1910-11eb-054a-1b007276a744cell_id$8c99c170-1910-11eb-054a-1b007276a744codeIfunction step(ray::Ray, dt) ray.p .+= .+ ray.v.*dt return ray endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c45ae00-1910-11eb-2908-ede9e1c04a53cell_id$8c45ae00-1910-11eb-2908-ede9e1c04a53code!abstract type Wall <: Object end;metadatashow_logsèdisabled®skip_as_script«code_folded$210789e0-1912-11eb-11b6-bdb806bee14dcell_id$210789e0-1912-11eb-11b6-bdb806bee14dcodedoit(T, highres)metadatashow_logsèdisabled®skip_as_script«code_folded$8d20cbc0-1910-11eb-0d98-31a55e7becdecell_id$8d20cbc0-1910-11eb-0d98-31a55e7becdecode8doit(T, highres) = let # blank_img = Array{RGB}(undef, 1920,1080) blank_img = if highres Array{RGB}(undef, 800, 320) else Array{RGB}(undef, 200, 80) end repeat blank_img[:] .= RGB(0) cam = Camera(blank_img, [16,6], -10, [0,0,100]) ray_trace(objects(T / 100), cam) |> as_image end |> transposemetadatashow_logsèdisabled®skip_as_script«code_folded$f4c96d10-190e-11eb-0e8e-11ded1c8830ecell_id$f4c96d10-190e-11eb-0e8e-11ded1c8830ecode# TODO: get refraction to work without offsets in quadratic / inside_of fxs # Also, use dot product to see if exiting lens function Base.isapprox(n1::Nothing, n2::Nothing) return true endmetadatashow_logsèdisabled®skip_as_script«code_folded$8c809420-1910-11eb-2f0d-e17ea7a04a51cell_id$8c809420-1910-11eb-2f0d-e17ea7a04a51codeLfunction plot_rays(positions, objects::Vector{O}, filename) where {O <: Object} plt = plot(background_color=:black, aspect_ratio=:equal, legend=false) for i = 1:size(positions)[1] plot!(plt, (positions[i,:,1], positions[i,:,2]); label = "ray", linecolor=:white) end for object in objects if typeof(object) == Mirror dir = [-object.n[2], object.n[1]] extents = zeros(2,2) extents[1,:] .= object.p .- object.scale * dir extents[2,:] .= object.p .+ object.scale * dir plot!(plt, (extents[:,1], extents[:,2]), label = "mirror") elseif typeof(object) == Sphere circle = draw_circle(object.p, object.r, 100) plot!(circle; label="lens", linecolor=:lightblue) end end plt endmetadatashow_logsèdisabled®skip_as_script«code_folded$25ab9680-1912-11eb-0650-6361aaf781eccell_id$25ab9680-1912-11eb-0650-6361aaf781eccode&# [doit() for _ in 1:10]; # 3.1 # 2.8metadatashow_logsèdisabled®skip_as_script«code_folded$8c1d3e70-1910-11eb-10af-7dd208f70eddcell_id$8c1d3e70-1910-11eb-10af-7dd208f70eddcodeLfunction inside_of(ray::Ray, sphere) return inside_of(ray.p, sphere) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8be2dea0-193e-11eb-0591-c3dcc4c84403cell_id$8be2dea0-193e-11eb-0591-c3dcc4c84403codemetadatashow_logsèdisabled®skip_as_script«code_folded$8cc03530-1910-11eb-107e-3db62b460115cell_id$8cc03530-1910-11eb-107e-3db62b460115codefunction propagate(rays::Array{Ray}, objects::Vector{O}, num_intersections) where {O <: Object} Threads.@threads for j = 1:length(rays) rays[j] = propagate(rays[j], objects, num_intersections) end return rays endmetadatashow_logsèdisabled®skip_as_script«code_folded$8bc95210-1910-11eb-2af9-cb247912835acell_id$8bc95210-1910-11eb-2af9-cb247912835acode+# For now, all cameras are aligned on the z axis struct Camera # Set of all pixels, counts as scene resolution pixels # physical size of aperture size::Vector{Float64} # camera's distance from screen focal_length::Float64 # camera's position p::Vector{Float64} endmetadatashow_logsèdisabled®skip_as_script«code_folded$4417b3e0-190f-11eb-1efe-53d279a306e6cell_id$4417b3e0-190f-11eb-1efe-53d279a306e6codeusing LinearAlgebrametadatashow_logsèdisabled®skip_as_script«code_folded$853789be-1911-11eb-1121-679f89fe62dbcell_id$853789be-1911-11eb-1121-679f89fe62dbcode٣md""" # 0123456789 www Pluto notebook adaptation of https://github.com/leios/simuleios/tree/master/raytracing See https://www.youtube.com/watch?v=JwyQezsQkkw """metadatashow_logsèdisabled®skip_as_script«code_folded$8bea95b0-1910-11eb-3850-9f624fa3e6c0cell_id$8bea95b0-1910-11eb-3850-9f624fa3e6c0codexstruct Sphere <: Object # Lens position p::Vector{Float64} # Lens radius r::Float64 s::Surface endmetadatashow_logsèdisabled®skip_as_script«code_folded$88865f70-1939-11eb-2941-c538b8c9175bcell_id$88865f70-1939-11eb-2941-c538b8c9175bcode@bind T Slider(1:200)metadatashow_logsèdisabled®skip_as_script«code_folded$8bdfe750-1910-11eb-1eb6-c9c61b3333cfcell_id$8bdfe750-1910-11eb-1eb6-c9c61b3333cfcodeabstract type Object endmetadatashow_logsèdisabled®skip_as_script«code_folded$8cf0e220-1910-11eb-0933-b168f7031f46cell_id$8cf0e220-1910-11eb-0933-b168f7031f46codefunction init_rays(cam::Camera) res = size(cam.pixels) dim = cam.size pixel_width = dim ./ res # create a set of rays that go through every pixel in our grid. rays = map(CartesianIndices(cam.pixels)) do I pixel_loc = [cam.p[1] + 0.5*dim[1] - I[1]*dim[1]/res[1] + 0.5*pixel_width[1], cam.p[2] + 0.5*dim[2] - I[2]*dim[2]/res[2] + 0.5*pixel_width[2], cam.p[3]+cam.focal_length] l = normalize(pixel_loc - cam.p) Ray(l, pixel_loc, RGB(0)) end return rays endmetadatashow_logsèdisabled®skip_as_script«code_folded«notebook_id$51a16ad8-4aa1-11f0-2e48-1b0a0cd88c7cin_temp_dir¨metadata